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._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008
\ MAPLE / All rights reserved. Maple is a trademark of
<____ ____> Waterloo Maple Inc.
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> #BEGIN OUTFILE1
>
> # Begin Function number 3
> display_alot := proc(iter)
> global
> ALWAYS,
> INFO,
> DEBUGMASSIVE,
> DEBUGL,
> glob_max_terms,
> glob_iolevel,
> #Top Generate Globals Decl
> glob_unchanged_h_cnt,
> glob_smallish_float,
> centuries_in_millinium,
> hours_in_day,
> djd_debug,
> glob_log10relerr,
> glob_normmax,
> glob_current_iter,
> glob_curr_iter_when_opt,
> glob_hmin_init,
> glob_optimal_done,
> years_in_century,
> sec_in_min,
> glob_iter,
> glob_max_trunc_err,
> glob_initial_pass,
> glob_clock_start_sec,
> glob_almost_1,
> glob_percent_done,
> glob_small_float,
> glob_dump,
> glob_subiter_method,
> MAX_UNCHANGED,
> glob_optimal_start,
> glob_hmin,
> glob_not_yet_finished,
> days_in_year,
> glob_max_opt_iter,
> glob_orig_start_sec,
> glob_optimal_clock_start_sec,
> glob_log10_relerr,
> glob_log10_abserr,
> djd_debug2,
> glob_no_eqs,
> glob_max_rel_trunc_err,
> glob_max_hours,
> glob_relerr,
> glob_last_good_h,
> glob_large_float,
> glob_hmax,
> glob_reached_optimal_h,
> glob_look_poles,
> glob_disp_incr,
> glob_display_flag,
> glob_warned2,
> glob_warned,
> glob_abserr,
> glob_clock_sec,
> min_in_hour,
> glob_optimal_expect_sec,
> glob_log10normmin,
> glob_log10abserr,
> glob_max_iter,
> glob_max_minutes,
> glob_start,
> glob_max_sec,
> glob_dump_analytic,
> glob_h,
> glob_not_yet_start_msg,
> glob_html_log,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_2D0,
> array_const_3D0,
> array_const_0D0,
> array_const_4D0,
> array_const_2,
> array_const_1,
> #END CONST
> array_1st_rel_error,
> array_x1_init,
> array_last_rel_error,
> array_norms,
> array_m1,
> array_x1,
> array_t,
> array_x2,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_tmp16,
> array_tmp17,
> array_pole,
> array_x2_init,
> array_type_pole,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_x2_higher,
> array_x2_higher_work2,
> array_poles,
> array_x2_set_initial,
> array_complex_pole,
> array_real_pole,
> array_x1_set_initial,
> array_x1_higher_work,
> array_x2_higher_work,
> array_x1_higher_work2,
> array_x1_higher,
> glob_last;
>
> local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
> #TOP DISPLAY ALOT
> if (iter >= 0) then # if number 1
> ind_var := array_t[1];
> omniout_float(ALWAYS,"t[1] ",33,ind_var,20," ");
> analytic_val_y := exact_soln_x1(ind_var);
> omniout_float(ALWAYS,"x1[1] (analytic) ",33,analytic_val_y,20," ");
> term_no := 1;
> numeric_val := array_x1[term_no];
> abserr := abs(numeric_val - analytic_val_y);
> omniout_float(ALWAYS,"x1[1] (numeric) ",33,numeric_val,20," ");
> if (abs(analytic_val_y) <> 0.0) then # if number 2
> relerr := abserr*100.0/abs(analytic_val_y);
> else
> relerr := -1.0 ;
> fi;# end if 2
> ;
> if glob_iter = 1 then # if number 2
> array_1st_rel_error[1] := relerr;
> else
> array_last_rel_error[1] := relerr;
> fi;# end if 2
> ;
> omniout_float(ALWAYS,"absolute error ",4,abserr,20," ");
> omniout_float(ALWAYS,"relative error ",4,relerr,20,"%");
> omniout_float(ALWAYS,"h ",4,glob_h,20," ");
> ;
> analytic_val_y := exact_soln_x2(ind_var);
> omniout_float(ALWAYS,"x2[1] (analytic) ",33,analytic_val_y,20," ");
> term_no := 1;
> numeric_val := array_x2[term_no];
> abserr := abs(numeric_val - analytic_val_y);
> omniout_float(ALWAYS,"x2[1] (numeric) ",33,numeric_val,20," ");
> if (abs(analytic_val_y) <> 0.0) then # if number 2
> relerr := abserr*100.0/abs(analytic_val_y);
> else
> relerr := -1.0 ;
> fi;# end if 2
> ;
> if glob_iter = 1 then # if number 2
> array_1st_rel_error[2] := relerr;
> else
> array_last_rel_error[2] := relerr;
> fi;# end if 2
> ;
> omniout_float(ALWAYS,"absolute error ",4,abserr,20," ");
> omniout_float(ALWAYS,"relative error ",4,relerr,20,"%");
> omniout_float(ALWAYS,"h ",4,glob_h,20," ");
> #BOTTOM DISPLAY ALOT
> fi;# end if 1
> ;
> # End Function number 3
> end;
display_alot := proc(iter)
local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
global ALWAYS, INFO, DEBUGMASSIVE, DEBUGL, glob_max_terms, glob_iolevel,
glob_unchanged_h_cnt, glob_smallish_float, centuries_in_millinium,
hours_in_day, djd_debug, glob_log10relerr, glob_normmax, glob_current_iter,
glob_curr_iter_when_opt, glob_hmin_init, glob_optimal_done,
years_in_century, sec_in_min, glob_iter, glob_max_trunc_err,
glob_initial_pass, glob_clock_start_sec, glob_almost_1, glob_percent_done,
glob_small_float, glob_dump, glob_subiter_method, MAX_UNCHANGED,
glob_optimal_start, glob_hmin, glob_not_yet_finished, days_in_year,
glob_max_opt_iter, glob_orig_start_sec, glob_optimal_clock_start_sec,
glob_log10_relerr, glob_log10_abserr, djd_debug2, glob_no_eqs,
glob_max_rel_trunc_err, glob_max_hours, glob_relerr, glob_last_good_h,
glob_large_float, glob_hmax, glob_reached_optimal_h, glob_look_poles,
glob_disp_incr, glob_display_flag, glob_warned2, glob_warned, glob_abserr,
glob_clock_sec, min_in_hour, glob_optimal_expect_sec, glob_log10normmin,
glob_log10abserr, glob_max_iter, glob_max_minutes, glob_start, glob_max_sec,
glob_dump_analytic, glob_h, glob_not_yet_start_msg, glob_html_log,
array_const_2D0, array_const_3D0, array_const_0D0, array_const_4D0,
array_const_2, array_const_1, array_1st_rel_error, array_x1_init,
array_last_rel_error, array_norms, array_m1, array_x1, array_t, array_x2,
array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14,
array_tmp15, array_tmp16, array_tmp17, array_pole, array_x2_init,
array_type_pole, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4,
array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_x2_higher,
array_x2_higher_work2, array_poles, array_x2_set_initial,
array_complex_pole, array_real_pole, array_x1_set_initial,
array_x1_higher_work, array_x2_higher_work, array_x1_higher_work2,
array_x1_higher, glob_last;
if 0 <= iter then
ind_var := array_t[1];
omniout_float(ALWAYS, "t[1] ", 33,
ind_var, 20, " ");
analytic_val_y := exact_soln_x1(ind_var);
omniout_float(ALWAYS, "x1[1] (analytic) ", 33,
analytic_val_y, 20, " ");
term_no := 1;
numeric_val := array_x1[term_no];
abserr := abs(numeric_val - analytic_val_y);
omniout_float(ALWAYS, "x1[1] (numeric) ", 33,
numeric_val, 20, " ");
if abs(analytic_val_y) <> 0. then
relerr := abserr*100.0/abs(analytic_val_y)
else relerr := -1.0
end if;
if glob_iter = 1 then array_1st_rel_error[1] := relerr
else array_last_rel_error[1] := relerr
end if;
omniout_float(ALWAYS, "absolute error ", 4,
abserr, 20, " ");
omniout_float(ALWAYS, "relative error ", 4,
relerr, 20, "%");
omniout_float(ALWAYS, "h ", 4,
glob_h, 20, " ");
analytic_val_y := exact_soln_x2(ind_var);
omniout_float(ALWAYS, "x2[1] (analytic) ", 33,
analytic_val_y, 20, " ");
term_no := 1;
numeric_val := array_x2[term_no];
abserr := abs(numeric_val - analytic_val_y);
omniout_float(ALWAYS, "x2[1] (numeric) ", 33,
numeric_val, 20, " ");
if abs(analytic_val_y) <> 0. then
relerr := abserr*100.0/abs(analytic_val_y)
else relerr := -1.0
end if;
if glob_iter = 1 then array_1st_rel_error[2] := relerr
else array_last_rel_error[2] := relerr
end if;
omniout_float(ALWAYS, "absolute error ", 4,
abserr, 20, " ");
omniout_float(ALWAYS, "relative error ", 4,
relerr, 20, "%");
omniout_float(ALWAYS, "h ", 4,
glob_h, 20, " ")
end if
end proc
> # Begin Function number 4
> adjust_for_pole := proc(h_param)
> global
> ALWAYS,
> INFO,
> DEBUGMASSIVE,
> DEBUGL,
> glob_max_terms,
> glob_iolevel,
> #Top Generate Globals Decl
> glob_unchanged_h_cnt,
> glob_smallish_float,
> centuries_in_millinium,
> hours_in_day,
> djd_debug,
> glob_log10relerr,
> glob_normmax,
> glob_current_iter,
> glob_curr_iter_when_opt,
> glob_hmin_init,
> glob_optimal_done,
> years_in_century,
> sec_in_min,
> glob_iter,
> glob_max_trunc_err,
> glob_initial_pass,
> glob_clock_start_sec,
> glob_almost_1,
> glob_percent_done,
> glob_small_float,
> glob_dump,
> glob_subiter_method,
> MAX_UNCHANGED,
> glob_optimal_start,
> glob_hmin,
> glob_not_yet_finished,
> days_in_year,
> glob_max_opt_iter,
> glob_orig_start_sec,
> glob_optimal_clock_start_sec,
> glob_log10_relerr,
> glob_log10_abserr,
> djd_debug2,
> glob_no_eqs,
> glob_max_rel_trunc_err,
> glob_max_hours,
> glob_relerr,
> glob_last_good_h,
> glob_large_float,
> glob_hmax,
> glob_reached_optimal_h,
> glob_look_poles,
> glob_disp_incr,
> glob_display_flag,
> glob_warned2,
> glob_warned,
> glob_abserr,
> glob_clock_sec,
> min_in_hour,
> glob_optimal_expect_sec,
> glob_log10normmin,
> glob_log10abserr,
> glob_max_iter,
> glob_max_minutes,
> glob_start,
> glob_max_sec,
> glob_dump_analytic,
> glob_h,
> glob_not_yet_start_msg,
> glob_html_log,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_2D0,
> array_const_3D0,
> array_const_0D0,
> array_const_4D0,
> array_const_2,
> array_const_1,
> #END CONST
> array_1st_rel_error,
> array_x1_init,
> array_last_rel_error,
> array_norms,
> array_m1,
> array_x1,
> array_t,
> array_x2,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_tmp16,
> array_tmp17,
> array_pole,
> array_x2_init,
> array_type_pole,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_x2_higher,
> array_x2_higher_work2,
> array_poles,
> array_x2_set_initial,
> array_complex_pole,
> array_real_pole,
> array_x1_set_initial,
> array_x1_higher_work,
> array_x2_higher_work,
> array_x1_higher_work2,
> array_x1_higher,
> glob_last;
>
> local hnew, sz2, tmp;
> #TOP ADJUST FOR POLE
>
> hnew := h_param;
> glob_normmax := glob_small_float;
> if (abs(array_x1_higher[1,1]) > glob_small_float) then # if number 1
> tmp := abs(array_x1_higher[1,1]);
> if (tmp < glob_normmax) then # if number 2
> glob_normmax := tmp;
> fi;# end if 2
> fi;# end if 1
> ;
> if (abs(array_x2_higher[1,1]) > glob_small_float) then # if number 1
> tmp := abs(array_x2_higher[1,1]);
> if (tmp < glob_normmax) then # if number 2
> glob_normmax := tmp;
> fi;# end if 2
> fi;# end if 1
> ;
> if (glob_look_poles and (abs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1
> sz2 := array_pole[1]/10.0;
> if (sz2 < hnew) then # if number 2
> omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity.");
> omniout_str(INFO,"Reached Optimal");
> newline();
> return(hnew);
> fi;# end if 2
> fi;# end if 1
> ;
> if (not glob_reached_optimal_h) then # if number 1
> glob_reached_optimal_h := true;
> glob_curr_iter_when_opt := glob_current_iter;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> glob_optimal_start := array_t[1];
> fi;# end if 1
> ;
> hnew := sz2;
> #END block
> #BOTTOM ADJUST FOR POLE
> # End Function number 4
> end;
adjust_for_pole := proc(h_param)
local hnew, sz2, tmp;
global ALWAYS, INFO, DEBUGMASSIVE, DEBUGL, glob_max_terms, glob_iolevel,
glob_unchanged_h_cnt, glob_smallish_float, centuries_in_millinium,
hours_in_day, djd_debug, glob_log10relerr, glob_normmax, glob_current_iter,
glob_curr_iter_when_opt, glob_hmin_init, glob_optimal_done,
years_in_century, sec_in_min, glob_iter, glob_max_trunc_err,
glob_initial_pass, glob_clock_start_sec, glob_almost_1, glob_percent_done,
glob_small_float, glob_dump, glob_subiter_method, MAX_UNCHANGED,
glob_optimal_start, glob_hmin, glob_not_yet_finished, days_in_year,
glob_max_opt_iter, glob_orig_start_sec, glob_optimal_clock_start_sec,
glob_log10_relerr, glob_log10_abserr, djd_debug2, glob_no_eqs,
glob_max_rel_trunc_err, glob_max_hours, glob_relerr, glob_last_good_h,
glob_large_float, glob_hmax, glob_reached_optimal_h, glob_look_poles,
glob_disp_incr, glob_display_flag, glob_warned2, glob_warned, glob_abserr,
glob_clock_sec, min_in_hour, glob_optimal_expect_sec, glob_log10normmin,
glob_log10abserr, glob_max_iter, glob_max_minutes, glob_start, glob_max_sec,
glob_dump_analytic, glob_h, glob_not_yet_start_msg, glob_html_log,
array_const_2D0, array_const_3D0, array_const_0D0, array_const_4D0,
array_const_2, array_const_1, array_1st_rel_error, array_x1_init,
array_last_rel_error, array_norms, array_m1, array_x1, array_t, array_x2,
array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14,
array_tmp15, array_tmp16, array_tmp17, array_pole, array_x2_init,
array_type_pole, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4,
array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_x2_higher,
array_x2_higher_work2, array_poles, array_x2_set_initial,
array_complex_pole, array_real_pole, array_x1_set_initial,
array_x1_higher_work, array_x2_higher_work, array_x1_higher_work2,
array_x1_higher, glob_last;
hnew := h_param;
glob_normmax := glob_small_float;
if glob_small_float < abs(array_x1_higher[1, 1]) then
tmp := abs(array_x1_higher[1, 1]);
if tmp < glob_normmax then glob_normmax := tmp end if
end if;
if glob_small_float < abs(array_x2_higher[1, 1]) then
tmp := abs(array_x2_higher[1, 1]);
if tmp < glob_normmax then glob_normmax := tmp end if
end if;
if glob_look_poles and glob_small_float < abs(array_pole[1]) and
array_pole[1] <> glob_large_float then
sz2 := array_pole[1]/10.0;
if sz2 < hnew then
omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity.");
omniout_str(INFO, "Reached Optimal");
newline();
return hnew
end if
end if;
if not glob_reached_optimal_h then
glob_reached_optimal_h := true;
glob_curr_iter_when_opt := glob_current_iter;
glob_optimal_clock_start_sec := elapsed_time_seconds();
glob_optimal_start := array_t[1]
end if;
hnew := sz2
end proc
> # Begin Function number 5
> prog_report := proc(t_start,t_end)
> global
> ALWAYS,
> INFO,
> DEBUGMASSIVE,
> DEBUGL,
> glob_max_terms,
> glob_iolevel,
> #Top Generate Globals Decl
> glob_unchanged_h_cnt,
> glob_smallish_float,
> centuries_in_millinium,
> hours_in_day,
> djd_debug,
> glob_log10relerr,
> glob_normmax,
> glob_current_iter,
> glob_curr_iter_when_opt,
> glob_hmin_init,
> glob_optimal_done,
> years_in_century,
> sec_in_min,
> glob_iter,
> glob_max_trunc_err,
> glob_initial_pass,
> glob_clock_start_sec,
> glob_almost_1,
> glob_percent_done,
> glob_small_float,
> glob_dump,
> glob_subiter_method,
> MAX_UNCHANGED,
> glob_optimal_start,
> glob_hmin,
> glob_not_yet_finished,
> days_in_year,
> glob_max_opt_iter,
> glob_orig_start_sec,
> glob_optimal_clock_start_sec,
> glob_log10_relerr,
> glob_log10_abserr,
> djd_debug2,
> glob_no_eqs,
> glob_max_rel_trunc_err,
> glob_max_hours,
> glob_relerr,
> glob_last_good_h,
> glob_large_float,
> glob_hmax,
> glob_reached_optimal_h,
> glob_look_poles,
> glob_disp_incr,
> glob_display_flag,
> glob_warned2,
> glob_warned,
> glob_abserr,
> glob_clock_sec,
> min_in_hour,
> glob_optimal_expect_sec,
> glob_log10normmin,
> glob_log10abserr,
> glob_max_iter,
> glob_max_minutes,
> glob_start,
> glob_max_sec,
> glob_dump_analytic,
> glob_h,
> glob_not_yet_start_msg,
> glob_html_log,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_2D0,
> array_const_3D0,
> array_const_0D0,
> array_const_4D0,
> array_const_2,
> array_const_1,
> #END CONST
> array_1st_rel_error,
> array_x1_init,
> array_last_rel_error,
> array_norms,
> array_m1,
> array_x1,
> array_t,
> array_x2,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_tmp16,
> array_tmp17,
> array_pole,
> array_x2_init,
> array_type_pole,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_x2_higher,
> array_x2_higher_work2,
> array_poles,
> array_x2_set_initial,
> array_complex_pole,
> array_real_pole,
> array_x1_set_initial,
> array_x1_higher_work,
> array_x2_higher_work,
> array_x1_higher_work2,
> array_x1_higher,
> glob_last;
>
> local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec;
> #TOP PROGRESS REPORT
> clock_sec1 := elapsed_time_seconds();
> total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
> glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
> left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1);
> expect_sec := comp_expect_sec(convfloat(t_end),convfloat(t_start),convfloat(array_t[1]) + convfloat(glob_h) ,convfloat( clock_sec1) - convfloat(glob_orig_start_sec));
> opt_clock_sec := convfloat( clock_sec1) - convfloat(glob_optimal_clock_start_sec);
> glob_optimal_expect_sec := comp_expect_sec(convfloat(t_end),convfloat(t_start),convfloat(array_t[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec));
> percent_done := comp_percent(convfloat(t_end),convfloat(t_start),convfloat(array_t[1]) + convfloat(glob_h));
> glob_percent_done := percent_done;
> omniout_str_noeol(INFO,"Total Elapsed Time ");
> omniout_timestr(convfloat(total_clock_sec));
> omniout_str_noeol(INFO,"Elapsed Time(since restart) ");
> omniout_timestr(convfloat(glob_clock_sec));
> if convfloat(percent_done) < convfloat(100.0) then # if number 1
> omniout_str_noeol(INFO,"Expected Time Remaining ");
> omniout_timestr(convfloat(expect_sec));
> omniout_str_noeol(INFO,"Optimized Time Remaining ");
> omniout_timestr(convfloat(glob_optimal_expect_sec));
> fi;# end if 1
> ;
> omniout_str_noeol(INFO,"Time to Timeout ");
> omniout_timestr(convfloat(left_sec));
> omniout_float(INFO, "Percent Done ",33,percent_done,4,"%");
> #BOTTOM PROGRESS REPORT
> # End Function number 5
> end;
prog_report := proc(t_start, t_end)
local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec,
percent_done, total_clock_sec;
global ALWAYS, INFO, DEBUGMASSIVE, DEBUGL, glob_max_terms, glob_iolevel,
glob_unchanged_h_cnt, glob_smallish_float, centuries_in_millinium,
hours_in_day, djd_debug, glob_log10relerr, glob_normmax, glob_current_iter,
glob_curr_iter_when_opt, glob_hmin_init, glob_optimal_done,
years_in_century, sec_in_min, glob_iter, glob_max_trunc_err,
glob_initial_pass, glob_clock_start_sec, glob_almost_1, glob_percent_done,
glob_small_float, glob_dump, glob_subiter_method, MAX_UNCHANGED,
glob_optimal_start, glob_hmin, glob_not_yet_finished, days_in_year,
glob_max_opt_iter, glob_orig_start_sec, glob_optimal_clock_start_sec,
glob_log10_relerr, glob_log10_abserr, djd_debug2, glob_no_eqs,
glob_max_rel_trunc_err, glob_max_hours, glob_relerr, glob_last_good_h,
glob_large_float, glob_hmax, glob_reached_optimal_h, glob_look_poles,
glob_disp_incr, glob_display_flag, glob_warned2, glob_warned, glob_abserr,
glob_clock_sec, min_in_hour, glob_optimal_expect_sec, glob_log10normmin,
glob_log10abserr, glob_max_iter, glob_max_minutes, glob_start, glob_max_sec,
glob_dump_analytic, glob_h, glob_not_yet_start_msg, glob_html_log,
array_const_2D0, array_const_3D0, array_const_0D0, array_const_4D0,
array_const_2, array_const_1, array_1st_rel_error, array_x1_init,
array_last_rel_error, array_norms, array_m1, array_x1, array_t, array_x2,
array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14,
array_tmp15, array_tmp16, array_tmp17, array_pole, array_x2_init,
array_type_pole, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4,
array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_x2_higher,
array_x2_higher_work2, array_poles, array_x2_set_initial,
array_complex_pole, array_real_pole, array_x1_set_initial,
array_x1_higher_work, array_x2_higher_work, array_x1_higher_work2,
array_x1_higher, glob_last;
clock_sec1 := elapsed_time_seconds();
total_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
glob_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec)
- convfloat(clock_sec1);
expect_sec := comp_expect_sec(convfloat(t_end), convfloat(t_start),
convfloat(array_t[1]) + convfloat(glob_h),
convfloat(clock_sec1) - convfloat(glob_orig_start_sec));
opt_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec);
glob_optimal_expect_sec := comp_expect_sec(convfloat(t_end),
convfloat(t_start), convfloat(array_t[1]) + convfloat(glob_h),
convfloat(opt_clock_sec));
percent_done := comp_percent(convfloat(t_end), convfloat(t_start),
convfloat(array_t[1]) + convfloat(glob_h));
glob_percent_done := percent_done;
omniout_str_noeol(INFO, "Total Elapsed Time ");
omniout_timestr(convfloat(total_clock_sec));
omniout_str_noeol(INFO, "Elapsed Time(since restart) ");
omniout_timestr(convfloat(glob_clock_sec));
if convfloat(percent_done) < convfloat(100.0) then
omniout_str_noeol(INFO, "Expected Time Remaining ");
omniout_timestr(convfloat(expect_sec));
omniout_str_noeol(INFO, "Optimized Time Remaining ");
omniout_timestr(convfloat(glob_optimal_expect_sec))
end if;
omniout_str_noeol(INFO, "Time to Timeout ");
omniout_timestr(convfloat(left_sec));
omniout_float(INFO, "Percent Done ", 33,
percent_done, 4, "%")
end proc
> # Begin Function number 6
> check_for_pole := proc()
> global
> ALWAYS,
> INFO,
> DEBUGMASSIVE,
> DEBUGL,
> glob_max_terms,
> glob_iolevel,
> #Top Generate Globals Decl
> glob_unchanged_h_cnt,
> glob_smallish_float,
> centuries_in_millinium,
> hours_in_day,
> djd_debug,
> glob_log10relerr,
> glob_normmax,
> glob_current_iter,
> glob_curr_iter_when_opt,
> glob_hmin_init,
> glob_optimal_done,
> years_in_century,
> sec_in_min,
> glob_iter,
> glob_max_trunc_err,
> glob_initial_pass,
> glob_clock_start_sec,
> glob_almost_1,
> glob_percent_done,
> glob_small_float,
> glob_dump,
> glob_subiter_method,
> MAX_UNCHANGED,
> glob_optimal_start,
> glob_hmin,
> glob_not_yet_finished,
> days_in_year,
> glob_max_opt_iter,
> glob_orig_start_sec,
> glob_optimal_clock_start_sec,
> glob_log10_relerr,
> glob_log10_abserr,
> djd_debug2,
> glob_no_eqs,
> glob_max_rel_trunc_err,
> glob_max_hours,
> glob_relerr,
> glob_last_good_h,
> glob_large_float,
> glob_hmax,
> glob_reached_optimal_h,
> glob_look_poles,
> glob_disp_incr,
> glob_display_flag,
> glob_warned2,
> glob_warned,
> glob_abserr,
> glob_clock_sec,
> min_in_hour,
> glob_optimal_expect_sec,
> glob_log10normmin,
> glob_log10abserr,
> glob_max_iter,
> glob_max_minutes,
> glob_start,
> glob_max_sec,
> glob_dump_analytic,
> glob_h,
> glob_not_yet_start_msg,
> glob_html_log,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_2D0,
> array_const_3D0,
> array_const_0D0,
> array_const_4D0,
> array_const_2,
> array_const_1,
> #END CONST
> array_1st_rel_error,
> array_x1_init,
> array_last_rel_error,
> array_norms,
> array_m1,
> array_x1,
> array_t,
> array_x2,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_tmp16,
> array_tmp17,
> array_pole,
> array_x2_init,
> array_type_pole,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_x2_higher,
> array_x2_higher_work2,
> array_poles,
> array_x2_set_initial,
> array_complex_pole,
> array_real_pole,
> array_x1_set_initial,
> array_x1_higher_work,
> array_x2_higher_work,
> array_x1_higher_work2,
> array_x1_higher,
> glob_last;
>
> local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found;
> #TOP CHECK FOR POLE
> #IN RADII REAL EQ = 1
> #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 1
> #Applies to pole of arbitrary r_order on the real axis,
> #Due to Prof. George Corliss.
> n := glob_max_terms;
> m := n - 1 - 1;
> while ((m >= 10) and ((abs(array_x1_higher[1,m]) < glob_small_float) or (abs(array_x1_higher[1,m-1]) < glob_small_float) or (abs(array_x1_higher[1,m-2]) < glob_small_float ))) do # do number 2
> m := m - 1;
> od;# end do number 2
> ;
> if (m > 10) then # if number 1
> rm0 := array_x1_higher[1,m]/array_x1_higher[1,m-1];
> rm1 := array_x1_higher[1,m-1]/array_x1_higher[1,m-2];
> hdrc := convfloat(m-1)*rm0-convfloat(m-2)*rm1;
> if (abs(hdrc) > glob_small_float) then # if number 2
> rcs := glob_h/hdrc;
> ord_no := convfloat(m-1)*rm0/hdrc - convfloat(m) + 2.0;
> array_real_pole[1,1] := rcs;
> array_real_pole[1,2] := ord_no;
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 2
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 1
> ;
> #BOTTOM RADII REAL EQ = 1
> #IN RADII REAL EQ = 2
> #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 2
> #Applies to pole of arbitrary r_order on the real axis,
> #Due to Prof. George Corliss.
> n := glob_max_terms;
> m := n - 2 - 1;
> while ((m >= 10) and ((abs(array_x2_higher[1,m]) < glob_small_float) or (abs(array_x2_higher[1,m-1]) < glob_small_float) or (abs(array_x2_higher[1,m-2]) < glob_small_float ))) do # do number 2
> m := m - 1;
> od;# end do number 2
> ;
> if (m > 10) then # if number 1
> rm0 := array_x2_higher[1,m]/array_x2_higher[1,m-1];
> rm1 := array_x2_higher[1,m-1]/array_x2_higher[1,m-2];
> hdrc := convfloat(m-1)*rm0-convfloat(m-2)*rm1;
> if (abs(hdrc) > glob_small_float) then # if number 2
> rcs := glob_h/hdrc;
> ord_no := convfloat(m-1)*rm0/hdrc - convfloat(m) + 2.0;
> array_real_pole[2,1] := rcs;
> array_real_pole[2,2] := ord_no;
> else
> array_real_pole[2,1] := glob_large_float;
> array_real_pole[2,2] := glob_large_float;
> fi;# end if 2
> else
> array_real_pole[2,1] := glob_large_float;
> array_real_pole[2,2] := glob_large_float;
> fi;# end if 1
> ;
> #BOTTOM RADII REAL EQ = 2
> #TOP RADII COMPLEX EQ = 1
> #Computes radius of convergence for complex conjugate pair of poles.
> #from 6 adjacent Taylor series terms
> #Also computes r_order of poles.
> #Due to Manuel Prieto.
> #With a correction by Dennis J. Darland
> n := glob_max_terms - 1 - 1;
> cnt := 0;
> while ((cnt < 5) and (n >= 10)) do # do number 2
> if (abs(array_x1_higher[1,n]) > glob_small_float) then # if number 1
> cnt := cnt + 1;
> else
> cnt := 0;
> fi;# end if 1
> ;
> n := n - 1;
> od;# end do number 2
> ;
> m := n + cnt;
> if (m <= 10) then # if number 1
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := glob_large_float;
> elif (abs(array_x1_higher[1,m]) >= (glob_large_float)) or (abs(array_x1_higher[1,m-1]) >=(glob_large_float)) or (abs(array_x1_higher[1,m-2]) >= (glob_large_float)) or (abs(array_x1_higher[1,m-3]) >= (glob_large_float)) or (abs(array_x1_higher[1,m-4]) >= (glob_large_float)) or (abs(array_x1_higher[1,m-5]) >= (glob_large_float)) then # if number 2
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := glob_large_float;
> else
> rm0 := (array_x1_higher[1,m])/(array_x1_higher[1,m-1]);
> rm1 := (array_x1_higher[1,m-1])/(array_x1_higher[1,m-2]);
> rm2 := (array_x1_higher[1,m-2])/(array_x1_higher[1,m-3]);
> rm3 := (array_x1_higher[1,m-3])/(array_x1_higher[1,m-4]);
> rm4 := (array_x1_higher[1,m-4])/(array_x1_higher[1,m-5]);
> nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2;
> nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3;
> dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
> dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
> ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
> ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
> if ((abs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (abs(dr1) <= glob_small_float)) then # if number 3
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := glob_large_float;
> else
> if (abs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 4
> rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1));
> #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1)
> ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0;
> if (abs(rcs) > glob_small_float) then # if number 5
> if (rcs > 0.0) then # if number 6
> rad_c := sqrt(rcs) * glob_h;
> else
> rad_c := glob_large_float;
> fi;# end if 6
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 5
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 4
> fi;# end if 3
> ;
> array_complex_pole[1,1] := rad_c;
> array_complex_pole[1,2] := ord_no;
> fi;# end if 2
> ;
> #BOTTOM RADII COMPLEX EQ = 1
> #TOP RADII COMPLEX EQ = 2
> #Computes radius of convergence for complex conjugate pair of poles.
> #from 6 adjacent Taylor series terms
> #Also computes r_order of poles.
> #Due to Manuel Prieto.
> #With a correction by Dennis J. Darland
> n := glob_max_terms - 2 - 1;
> cnt := 0;
> while ((cnt < 5) and (n >= 10)) do # do number 2
> if (abs(array_x2_higher[1,n]) > glob_small_float) then # if number 2
> cnt := cnt + 1;
> else
> cnt := 0;
> fi;# end if 2
> ;
> n := n - 1;
> od;# end do number 2
> ;
> m := n + cnt;
> if (m <= 10) then # if number 2
> array_complex_pole[2,1] := glob_large_float;
> array_complex_pole[2,2] := glob_large_float;
> elif (abs(array_x2_higher[1,m]) >= (glob_large_float)) or (abs(array_x2_higher[1,m-1]) >=(glob_large_float)) or (abs(array_x2_higher[1,m-2]) >= (glob_large_float)) or (abs(array_x2_higher[1,m-3]) >= (glob_large_float)) or (abs(array_x2_higher[1,m-4]) >= (glob_large_float)) or (abs(array_x2_higher[1,m-5]) >= (glob_large_float)) then # if number 3
> array_complex_pole[2,1] := glob_large_float;
> array_complex_pole[2,2] := glob_large_float;
> else
> rm0 := (array_x2_higher[1,m])/(array_x2_higher[1,m-1]);
> rm1 := (array_x2_higher[1,m-1])/(array_x2_higher[1,m-2]);
> rm2 := (array_x2_higher[1,m-2])/(array_x2_higher[1,m-3]);
> rm3 := (array_x2_higher[1,m-3])/(array_x2_higher[1,m-4]);
> rm4 := (array_x2_higher[1,m-4])/(array_x2_higher[1,m-5]);
> nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2;
> nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3;
> dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
> dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
> ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
> ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
> if ((abs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (abs(dr1) <= glob_small_float)) then # if number 4
> array_complex_pole[2,1] := glob_large_float;
> array_complex_pole[2,2] := glob_large_float;
> else
> if (abs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 5
> rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1));
> #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1)
> ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0;
> if (abs(rcs) > glob_small_float) then # if number 6
> if (rcs > 0.0) then # if number 7
> rad_c := sqrt(rcs) * glob_h;
> else
> rad_c := glob_large_float;
> fi;# end if 7
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 6
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 5
> fi;# end if 4
> ;
> array_complex_pole[2,1] := rad_c;
> array_complex_pole[2,2] := ord_no;
> fi;# end if 3
> ;
> #BOTTOM RADII COMPLEX EQ = 2
> found := false;
> #TOP WHICH RADII EQ = 1
> if not found and ((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float)) and ((array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0)) then # if number 3
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> found := true;
> array_type_pole[1] := 2;
> if (glob_display_flag) then # if number 4
> omniout_str(ALWAYS,"Complex estimate of poles used");
> fi;# end if 4
> ;
> fi;# end if 3
> ;
> if not found and ((array_real_pole[1,1] <> glob_large_float) and (array_real_pole[1,2] <> glob_large_float) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float) or (array_complex_pole[1,1] <= 0.0 ) or (array_complex_pole[1,2] <= 0.0))) then # if number 3
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found := true;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 4
> omniout_str(ALWAYS,"Real estimate of pole used");
> fi;# end if 4
> ;
> fi;# end if 3
> ;
> if not found and (((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float))) then # if number 3
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> found := true;
> array_type_pole[1] := 3;
> if (glob_display_flag) then # if number 4
> omniout_str(ALWAYS,"NO POLE");
> fi;# end if 4
> ;
> fi;# end if 3
> ;
> if not found and ((array_real_pole[1,1] < array_complex_pole[1,1]) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0)) then # if number 3
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found := true;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 4
> omniout_str(ALWAYS,"Real estimate of pole used");
> fi;# end if 4
> ;
> fi;# end if 3
> ;
> if not found and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float) and (array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0)) then # if number 3
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> array_type_pole[1] := 2;
> found := true;
> if (glob_display_flag) then # if number 4
> omniout_str(ALWAYS,"Complex estimate of poles used");
> fi;# end if 4
> ;
> fi;# end if 3
> ;
> if not found then # if number 3
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> array_type_pole[1] := 3;
> if (glob_display_flag) then # if number 4
> omniout_str(ALWAYS,"NO POLE");
> fi;# end if 4
> ;
> fi;# end if 3
> ;
> #BOTTOM WHICH RADII EQ = 1
> found := false;
> #TOP WHICH RADII EQ = 2
> if not found and ((array_real_pole[2,1] = glob_large_float) or (array_real_pole[2,2] = glob_large_float)) and ((array_complex_pole[2,1] <> glob_large_float) and (array_complex_pole[2,2] <> glob_large_float)) and ((array_complex_pole[2,1] > 0.0) and (array_complex_pole[2,2] > 0.0)) then # if number 3
> array_poles[2,1] := array_complex_pole[2,1];
> array_poles[2,2] := array_complex_pole[2,2];
> found := true;
> array_type_pole[2] := 2;
> if (glob_display_flag) then # if number 4
> omniout_str(ALWAYS,"Complex estimate of poles used");
> fi;# end if 4
> ;
> fi;# end if 3
> ;
> if not found and ((array_real_pole[2,1] <> glob_large_float) and (array_real_pole[2,2] <> glob_large_float) and (array_real_pole[2,1] > 0.0) and (array_real_pole[2,2] > 0.0) and ((array_complex_pole[2,1] = glob_large_float) or (array_complex_pole[2,2] = glob_large_float) or (array_complex_pole[2,1] <= 0.0 ) or (array_complex_pole[2,2] <= 0.0))) then # if number 3
> array_poles[2,1] := array_real_pole[2,1];
> array_poles[2,2] := array_real_pole[2,2];
> found := true;
> array_type_pole[2] := 1;
> if (glob_display_flag) then # if number 4
> omniout_str(ALWAYS,"Real estimate of pole used");
> fi;# end if 4
> ;
> fi;# end if 3
> ;
> if not found and (((array_real_pole[2,1] = glob_large_float) or (array_real_pole[2,2] = glob_large_float)) and ((array_complex_pole[2,1] = glob_large_float) or (array_complex_pole[2,2] = glob_large_float))) then # if number 3
> array_poles[2,1] := glob_large_float;
> array_poles[2,2] := glob_large_float;
> found := true;
> array_type_pole[2] := 3;
> if (glob_display_flag) then # if number 4
> omniout_str(ALWAYS,"NO POLE");
> fi;# end if 4
> ;
> fi;# end if 3
> ;
> if not found and ((array_real_pole[2,1] < array_complex_pole[2,1]) and (array_real_pole[2,1] > 0.0) and (array_real_pole[2,2] > 0.0)) then # if number 3
> array_poles[2,1] := array_real_pole[2,1];
> array_poles[2,2] := array_real_pole[2,2];
> found := true;
> array_type_pole[2] := 1;
> if (glob_display_flag) then # if number 4
> omniout_str(ALWAYS,"Real estimate of pole used");
> fi;# end if 4
> ;
> fi;# end if 3
> ;
> if not found and ((array_complex_pole[2,1] <> glob_large_float) and (array_complex_pole[2,2] <> glob_large_float) and (array_complex_pole[2,1] > 0.0) and (array_complex_pole[2,2] > 0.0)) then # if number 3
> array_poles[2,1] := array_complex_pole[2,1];
> array_poles[2,2] := array_complex_pole[2,2];
> array_type_pole[2] := 2;
> found := true;
> if (glob_display_flag) then # if number 4
> omniout_str(ALWAYS,"Complex estimate of poles used");
> fi;# end if 4
> ;
> fi;# end if 3
> ;
> if not found then # if number 3
> array_poles[2,1] := glob_large_float;
> array_poles[2,2] := glob_large_float;
> array_type_pole[2] := 3;
> if (glob_display_flag) then # if number 4
> omniout_str(ALWAYS,"NO POLE");
> fi;# end if 4
> ;
> fi;# end if 3
> ;
> #BOTTOM WHICH RADII EQ = 2
> array_pole[1] := glob_large_float;
> array_pole[2] := glob_large_float;
> #TOP WHICH RADIUS EQ = 1
> if array_pole[1] > array_poles[1,1] then # if number 3
> array_pole[1] := array_poles[1,1];
> array_pole[2] := array_poles[1,2];
> fi;# end if 3
> ;
> #BOTTOM WHICH RADIUS EQ = 1
> #TOP WHICH RADIUS EQ = 2
> if array_pole[1] > array_poles[2,1] then # if number 3
> array_pole[1] := array_poles[2,1];
> array_pole[2] := array_poles[2,2];
> fi;# end if 3
> ;
> #BOTTOM WHICH RADIUS EQ = 2
> #BOTTOM CHECK FOR POLE
> display_pole();
> # End Function number 6
> end;
check_for_pole := proc()
local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs,
rm0, rm1, rm2, rm3, rm4, found;
global ALWAYS, INFO, DEBUGMASSIVE, DEBUGL, glob_max_terms, glob_iolevel,
glob_unchanged_h_cnt, glob_smallish_float, centuries_in_millinium,
hours_in_day, djd_debug, glob_log10relerr, glob_normmax, glob_current_iter,
glob_curr_iter_when_opt, glob_hmin_init, glob_optimal_done,
years_in_century, sec_in_min, glob_iter, glob_max_trunc_err,
glob_initial_pass, glob_clock_start_sec, glob_almost_1, glob_percent_done,
glob_small_float, glob_dump, glob_subiter_method, MAX_UNCHANGED,
glob_optimal_start, glob_hmin, glob_not_yet_finished, days_in_year,
glob_max_opt_iter, glob_orig_start_sec, glob_optimal_clock_start_sec,
glob_log10_relerr, glob_log10_abserr, djd_debug2, glob_no_eqs,
glob_max_rel_trunc_err, glob_max_hours, glob_relerr, glob_last_good_h,
glob_large_float, glob_hmax, glob_reached_optimal_h, glob_look_poles,
glob_disp_incr, glob_display_flag, glob_warned2, glob_warned, glob_abserr,
glob_clock_sec, min_in_hour, glob_optimal_expect_sec, glob_log10normmin,
glob_log10abserr, glob_max_iter, glob_max_minutes, glob_start, glob_max_sec,
glob_dump_analytic, glob_h, glob_not_yet_start_msg, glob_html_log,
array_const_2D0, array_const_3D0, array_const_0D0, array_const_4D0,
array_const_2, array_const_1, array_1st_rel_error, array_x1_init,
array_last_rel_error, array_norms, array_m1, array_x1, array_t, array_x2,
array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14,
array_tmp15, array_tmp16, array_tmp17, array_pole, array_x2_init,
array_type_pole, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4,
array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_x2_higher,
array_x2_higher_work2, array_poles, array_x2_set_initial,
array_complex_pole, array_real_pole, array_x1_set_initial,
array_x1_higher_work, array_x2_higher_work, array_x1_higher_work2,
array_x1_higher, glob_last;
n := glob_max_terms;
m := n - 2;
while 10 <= m and (abs(array_x1_higher[1, m]) < glob_small_float or
abs(array_x1_higher[1, m - 1]) < glob_small_float or
abs(array_x1_higher[1, m - 2]) < glob_small_float) do m := m - 1
end do;
if 10 < m then
rm0 := array_x1_higher[1, m]/array_x1_higher[1, m - 1];
rm1 := array_x1_higher[1, m - 1]/array_x1_higher[1, m - 2];
hdrc := convfloat(m - 1)*rm0 - convfloat(m - 2)*rm1;
if glob_small_float < abs(hdrc) then
rcs := glob_h/hdrc;
ord_no := convfloat(m - 1)*rm0/hdrc - convfloat(m) + 2.0;
array_real_pole[1, 1] := rcs;
array_real_pole[1, 2] := ord_no
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if;
n := glob_max_terms;
m := n - 3;
while 10 <= m and (abs(array_x2_higher[1, m]) < glob_small_float or
abs(array_x2_higher[1, m - 1]) < glob_small_float or
abs(array_x2_higher[1, m - 2]) < glob_small_float) do m := m - 1
end do;
if 10 < m then
rm0 := array_x2_higher[1, m]/array_x2_higher[1, m - 1];
rm1 := array_x2_higher[1, m - 1]/array_x2_higher[1, m - 2];
hdrc := convfloat(m - 1)*rm0 - convfloat(m - 2)*rm1;
if glob_small_float < abs(hdrc) then
rcs := glob_h/hdrc;
ord_no := convfloat(m - 1)*rm0/hdrc - convfloat(m) + 2.0;
array_real_pole[2, 1] := rcs;
array_real_pole[2, 2] := ord_no
else
array_real_pole[2, 1] := glob_large_float;
array_real_pole[2, 2] := glob_large_float
end if
else
array_real_pole[2, 1] := glob_large_float;
array_real_pole[2, 2] := glob_large_float
end if;
n := glob_max_terms - 2;
cnt := 0;
while cnt < 5 and 10 <= n do
if glob_small_float < abs(array_x1_higher[1, n]) then
cnt := cnt + 1
else cnt := 0
end if;
n := n - 1
end do;
m := n + cnt;
if m <= 10 then
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := glob_large_float
elif glob_large_float <= abs(array_x1_higher[1, m]) or
glob_large_float <= abs(array_x1_higher[1, m - 1]) or
glob_large_float <= abs(array_x1_higher[1, m - 2]) or
glob_large_float <= abs(array_x1_higher[1, m - 3]) or
glob_large_float <= abs(array_x1_higher[1, m - 4]) or
glob_large_float <= abs(array_x1_higher[1, m - 5]) then
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := glob_large_float
else
rm0 := array_x1_higher[1, m]/array_x1_higher[1, m - 1];
rm1 := array_x1_higher[1, m - 1]/array_x1_higher[1, m - 2];
rm2 := array_x1_higher[1, m - 2]/array_x1_higher[1, m - 3];
rm3 := array_x1_higher[1, m - 3]/array_x1_higher[1, m - 4];
rm4 := array_x1_higher[1, m - 4]/array_x1_higher[1, m - 5];
nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1
+ convfloat(m - 3)*rm2;
nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2
+ convfloat(m - 4)*rm3;
dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
if abs(nr1*dr2 - nr2*dr1) <= glob_small_float or
abs(dr1) <= glob_small_float then
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := glob_large_float
else
if glob_small_float < abs(nr1*dr2 - nr2*dr1) then
rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1);
ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0;
if glob_small_float < abs(rcs) then
if 0. < rcs then rad_c := sqrt(rcs)*glob_h
else rad_c := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
end if;
array_complex_pole[1, 1] := rad_c;
array_complex_pole[1, 2] := ord_no
end if;
n := glob_max_terms - 3;
cnt := 0;
while cnt < 5 and 10 <= n do
if glob_small_float < abs(array_x2_higher[1, n]) then
cnt := cnt + 1
else cnt := 0
end if;
n := n - 1
end do;
m := n + cnt;
if m <= 10 then
array_complex_pole[2, 1] := glob_large_float;
array_complex_pole[2, 2] := glob_large_float
elif glob_large_float <= abs(array_x2_higher[1, m]) or
glob_large_float <= abs(array_x2_higher[1, m - 1]) or
glob_large_float <= abs(array_x2_higher[1, m - 2]) or
glob_large_float <= abs(array_x2_higher[1, m - 3]) or
glob_large_float <= abs(array_x2_higher[1, m - 4]) or
glob_large_float <= abs(array_x2_higher[1, m - 5]) then
array_complex_pole[2, 1] := glob_large_float;
array_complex_pole[2, 2] := glob_large_float
else
rm0 := array_x2_higher[1, m]/array_x2_higher[1, m - 1];
rm1 := array_x2_higher[1, m - 1]/array_x2_higher[1, m - 2];
rm2 := array_x2_higher[1, m - 2]/array_x2_higher[1, m - 3];
rm3 := array_x2_higher[1, m - 3]/array_x2_higher[1, m - 4];
rm4 := array_x2_higher[1, m - 4]/array_x2_higher[1, m - 5];
nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1
+ convfloat(m - 3)*rm2;
nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2
+ convfloat(m - 4)*rm3;
dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
if abs(nr1*dr2 - nr2*dr1) <= glob_small_float or
abs(dr1) <= glob_small_float then
array_complex_pole[2, 1] := glob_large_float;
array_complex_pole[2, 2] := glob_large_float
else
if glob_small_float < abs(nr1*dr2 - nr2*dr1) then
rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1);
ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0;
if glob_small_float < abs(rcs) then
if 0. < rcs then rad_c := sqrt(rcs)*glob_h
else rad_c := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
end if;
array_complex_pole[2, 1] := rad_c;
array_complex_pole[2, 2] := ord_no
end if;
found := false;
if not found and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and
array_complex_pole[1, 1] <> glob_large_float and
array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
found := true;
array_type_pole[1] := 2;
if glob_display_flag then
omniout_str(ALWAYS, "Complex estimate of poles used")
end if
end if;
if not found and array_real_pole[1, 1] <> glob_large_float and
array_real_pole[1, 2] <> glob_large_float and
0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float or
array_complex_pole[1, 1] <= 0. or array_complex_pole[1, 2] <= 0.) then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found := true;
array_type_pole[1] := 1;
if glob_display_flag then
omniout_str(ALWAYS, "Real estimate of pole used")
end if
end if;
if not found and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float) then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
found := true;
array_type_pole[1] := 3;
if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if
end if;
if not found and array_real_pole[1, 1] < array_complex_pole[1, 1] and
0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found := true;
array_type_pole[1] := 1;
if glob_display_flag then
omniout_str(ALWAYS, "Real estimate of pole used")
end if
end if;
if not found and array_complex_pole[1, 1] <> glob_large_float and
array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
array_type_pole[1] := 2;
found := true;
if glob_display_flag then
omniout_str(ALWAYS, "Complex estimate of poles used")
end if
end if;
if not found then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
array_type_pole[1] := 3;
if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if
end if;
found := false;
if not found and (array_real_pole[2, 1] = glob_large_float or
array_real_pole[2, 2] = glob_large_float) and
array_complex_pole[2, 1] <> glob_large_float and
array_complex_pole[2, 2] <> glob_large_float and
0. < array_complex_pole[2, 1] and 0. < array_complex_pole[2, 2] then
array_poles[2, 1] := array_complex_pole[2, 1];
array_poles[2, 2] := array_complex_pole[2, 2];
found := true;
array_type_pole[2] := 2;
if glob_display_flag then
omniout_str(ALWAYS, "Complex estimate of poles used")
end if
end if;
if not found and array_real_pole[2, 1] <> glob_large_float and
array_real_pole[2, 2] <> glob_large_float and
0. < array_real_pole[2, 1] and 0. < array_real_pole[2, 2] and (
array_complex_pole[2, 1] = glob_large_float or
array_complex_pole[2, 2] = glob_large_float or
array_complex_pole[2, 1] <= 0. or array_complex_pole[2, 2] <= 0.) then
array_poles[2, 1] := array_real_pole[2, 1];
array_poles[2, 2] := array_real_pole[2, 2];
found := true;
array_type_pole[2] := 1;
if glob_display_flag then
omniout_str(ALWAYS, "Real estimate of pole used")
end if
end if;
if not found and (array_real_pole[2, 1] = glob_large_float or
array_real_pole[2, 2] = glob_large_float) and (
array_complex_pole[2, 1] = glob_large_float or
array_complex_pole[2, 2] = glob_large_float) then
array_poles[2, 1] := glob_large_float;
array_poles[2, 2] := glob_large_float;
found := true;
array_type_pole[2] := 3;
if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if
end if;
if not found and array_real_pole[2, 1] < array_complex_pole[2, 1] and
0. < array_real_pole[2, 1] and 0. < array_real_pole[2, 2] then
array_poles[2, 1] := array_real_pole[2, 1];
array_poles[2, 2] := array_real_pole[2, 2];
found := true;
array_type_pole[2] := 1;
if glob_display_flag then
omniout_str(ALWAYS, "Real estimate of pole used")
end if
end if;
if not found and array_complex_pole[2, 1] <> glob_large_float and
array_complex_pole[2, 2] <> glob_large_float and
0. < array_complex_pole[2, 1] and 0. < array_complex_pole[2, 2] then
array_poles[2, 1] := array_complex_pole[2, 1];
array_poles[2, 2] := array_complex_pole[2, 2];
array_type_pole[2] := 2;
found := true;
if glob_display_flag then
omniout_str(ALWAYS, "Complex estimate of poles used")
end if
end if;
if not found then
array_poles[2, 1] := glob_large_float;
array_poles[2, 2] := glob_large_float;
array_type_pole[2] := 3;
if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if
end if;
array_pole[1] := glob_large_float;
array_pole[2] := glob_large_float;
if array_poles[1, 1] < array_pole[1] then
array_pole[1] := array_poles[1, 1];
array_pole[2] := array_poles[1, 2]
end if;
if array_poles[2, 1] < array_pole[1] then
array_pole[1] := array_poles[2, 1];
array_pole[2] := array_poles[2, 2]
end if;
display_pole()
end proc
> # Begin Function number 7
> get_norms := proc()
> global
> ALWAYS,
> INFO,
> DEBUGMASSIVE,
> DEBUGL,
> glob_max_terms,
> glob_iolevel,
> #Top Generate Globals Decl
> glob_unchanged_h_cnt,
> glob_smallish_float,
> centuries_in_millinium,
> hours_in_day,
> djd_debug,
> glob_log10relerr,
> glob_normmax,
> glob_current_iter,
> glob_curr_iter_when_opt,
> glob_hmin_init,
> glob_optimal_done,
> years_in_century,
> sec_in_min,
> glob_iter,
> glob_max_trunc_err,
> glob_initial_pass,
> glob_clock_start_sec,
> glob_almost_1,
> glob_percent_done,
> glob_small_float,
> glob_dump,
> glob_subiter_method,
> MAX_UNCHANGED,
> glob_optimal_start,
> glob_hmin,
> glob_not_yet_finished,
> days_in_year,
> glob_max_opt_iter,
> glob_orig_start_sec,
> glob_optimal_clock_start_sec,
> glob_log10_relerr,
> glob_log10_abserr,
> djd_debug2,
> glob_no_eqs,
> glob_max_rel_trunc_err,
> glob_max_hours,
> glob_relerr,
> glob_last_good_h,
> glob_large_float,
> glob_hmax,
> glob_reached_optimal_h,
> glob_look_poles,
> glob_disp_incr,
> glob_display_flag,
> glob_warned2,
> glob_warned,
> glob_abserr,
> glob_clock_sec,
> min_in_hour,
> glob_optimal_expect_sec,
> glob_log10normmin,
> glob_log10abserr,
> glob_max_iter,
> glob_max_minutes,
> glob_start,
> glob_max_sec,
> glob_dump_analytic,
> glob_h,
> glob_not_yet_start_msg,
> glob_html_log,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_2D0,
> array_const_3D0,
> array_const_0D0,
> array_const_4D0,
> array_const_2,
> array_const_1,
> #END CONST
> array_1st_rel_error,
> array_x1_init,
> array_last_rel_error,
> array_norms,
> array_m1,
> array_x1,
> array_t,
> array_x2,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_tmp16,
> array_tmp17,
> array_pole,
> array_x2_init,
> array_type_pole,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_x2_higher,
> array_x2_higher_work2,
> array_poles,
> array_x2_set_initial,
> array_complex_pole,
> array_real_pole,
> array_x1_set_initial,
> array_x1_higher_work,
> array_x2_higher_work,
> array_x1_higher_work2,
> array_x1_higher,
> glob_last;
>
> local iii;
> if (not glob_initial_pass) then # if number 3
> set_z(array_norms,glob_max_terms+1);
> #TOP GET NORMS
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> if (abs(array_x1[iii]) > array_norms[iii]) then # if number 4
> array_norms[iii] := abs(array_x1[iii]);
> fi;# end if 4
> ;
> iii := iii + 1;
> od;# end do number 2
> ;
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> if (abs(array_x2[iii]) > array_norms[iii]) then # if number 4
> array_norms[iii] := abs(array_x2[iii]);
> fi;# end if 4
> ;
> iii := iii + 1;
> od;# end do number 2
> #GET NORMS
> ;
> fi;# end if 3
> ;
> # End Function number 7
> end;
get_norms := proc()
local iii;
global ALWAYS, INFO, DEBUGMASSIVE, DEBUGL, glob_max_terms, glob_iolevel,
glob_unchanged_h_cnt, glob_smallish_float, centuries_in_millinium,
hours_in_day, djd_debug, glob_log10relerr, glob_normmax, glob_current_iter,
glob_curr_iter_when_opt, glob_hmin_init, glob_optimal_done,
years_in_century, sec_in_min, glob_iter, glob_max_trunc_err,
glob_initial_pass, glob_clock_start_sec, glob_almost_1, glob_percent_done,
glob_small_float, glob_dump, glob_subiter_method, MAX_UNCHANGED,
glob_optimal_start, glob_hmin, glob_not_yet_finished, days_in_year,
glob_max_opt_iter, glob_orig_start_sec, glob_optimal_clock_start_sec,
glob_log10_relerr, glob_log10_abserr, djd_debug2, glob_no_eqs,
glob_max_rel_trunc_err, glob_max_hours, glob_relerr, glob_last_good_h,
glob_large_float, glob_hmax, glob_reached_optimal_h, glob_look_poles,
glob_disp_incr, glob_display_flag, glob_warned2, glob_warned, glob_abserr,
glob_clock_sec, min_in_hour, glob_optimal_expect_sec, glob_log10normmin,
glob_log10abserr, glob_max_iter, glob_max_minutes, glob_start, glob_max_sec,
glob_dump_analytic, glob_h, glob_not_yet_start_msg, glob_html_log,
array_const_2D0, array_const_3D0, array_const_0D0, array_const_4D0,
array_const_2, array_const_1, array_1st_rel_error, array_x1_init,
array_last_rel_error, array_norms, array_m1, array_x1, array_t, array_x2,
array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14,
array_tmp15, array_tmp16, array_tmp17, array_pole, array_x2_init,
array_type_pole, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4,
array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_x2_higher,
array_x2_higher_work2, array_poles, array_x2_set_initial,
array_complex_pole, array_real_pole, array_x1_set_initial,
array_x1_higher_work, array_x2_higher_work, array_x1_higher_work2,
array_x1_higher, glob_last;
if not glob_initial_pass then
set_z(array_norms, glob_max_terms + 1);
iii := 1;
while iii <= glob_max_terms do
if array_norms[iii] < abs(array_x1[iii]) then
array_norms[iii] := abs(array_x1[iii])
end if;
iii := iii + 1
end do;
iii := 1;
while iii <= glob_max_terms do
if array_norms[iii] < abs(array_x2[iii]) then
array_norms[iii] := abs(array_x2[iii])
end if;
iii := iii + 1
end do
end if
end proc
> # Begin Function number 8
> atomall := proc()
> global
> ALWAYS,
> INFO,
> DEBUGMASSIVE,
> DEBUGL,
> glob_max_terms,
> glob_iolevel,
> #Top Generate Globals Decl
> glob_unchanged_h_cnt,
> glob_smallish_float,
> centuries_in_millinium,
> hours_in_day,
> djd_debug,
> glob_log10relerr,
> glob_normmax,
> glob_current_iter,
> glob_curr_iter_when_opt,
> glob_hmin_init,
> glob_optimal_done,
> years_in_century,
> sec_in_min,
> glob_iter,
> glob_max_trunc_err,
> glob_initial_pass,
> glob_clock_start_sec,
> glob_almost_1,
> glob_percent_done,
> glob_small_float,
> glob_dump,
> glob_subiter_method,
> MAX_UNCHANGED,
> glob_optimal_start,
> glob_hmin,
> glob_not_yet_finished,
> days_in_year,
> glob_max_opt_iter,
> glob_orig_start_sec,
> glob_optimal_clock_start_sec,
> glob_log10_relerr,
> glob_log10_abserr,
> djd_debug2,
> glob_no_eqs,
> glob_max_rel_trunc_err,
> glob_max_hours,
> glob_relerr,
> glob_last_good_h,
> glob_large_float,
> glob_hmax,
> glob_reached_optimal_h,
> glob_look_poles,
> glob_disp_incr,
> glob_display_flag,
> glob_warned2,
> glob_warned,
> glob_abserr,
> glob_clock_sec,
> min_in_hour,
> glob_optimal_expect_sec,
> glob_log10normmin,
> glob_log10abserr,
> glob_max_iter,
> glob_max_minutes,
> glob_start,
> glob_max_sec,
> glob_dump_analytic,
> glob_h,
> glob_not_yet_start_msg,
> glob_html_log,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_2D0,
> array_const_3D0,
> array_const_0D0,
> array_const_4D0,
> array_const_2,
> array_const_1,
> #END CONST
> array_1st_rel_error,
> array_x1_init,
> array_last_rel_error,
> array_norms,
> array_m1,
> array_x1,
> array_t,
> array_x2,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_tmp16,
> array_tmp17,
> array_pole,
> array_x2_init,
> array_type_pole,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_x2_higher,
> array_x2_higher_work2,
> array_poles,
> array_x2_set_initial,
> array_complex_pole,
> array_real_pole,
> array_x1_set_initial,
> array_x1_higher_work,
> array_x2_higher_work,
> array_x1_higher_work2,
> array_x1_higher,
> glob_last;
>
> local kkk, order_d, adj2, temporary, term;
> #TOP ATOMALL
> #END OUTFILE1
> #BEGIN ATOMHDR1
> # emit pre mult $eq_no = 1 i = 1
> array_tmp1[1] := (array_const_4D0[1] * (array_x2[1]));
> #emit pre add $eq_no = 1 i = 1
> array_tmp2[1] := array_const_0D0[1] + array_tmp1[1];
> #emit pre diff $eq_no = 1 i = 1
> array_tmp3[1] := array_x2_higher[2,1];
> # emit pre mult $eq_no = 1 i = 1
> array_tmp4[1] := (array_const_2D0[1] * (array_tmp3[1]));
> #emit pre sub $eq_no = 1 i = 1
> array_tmp5[1] := (array_tmp2[1] - (array_tmp4[1]));
> # emit pre mult $eq_no = 1 i = 1
> array_tmp6[1] := (array_const_2D0[1] * (array_x1[1]));
> #emit pre sub $eq_no = 1 i = 1
> array_tmp7[1] := (array_tmp5[1] - (array_tmp6[1]));
> #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5
> if not array_x1_set_initial[1,2] then # if number 1
> if (1 <= glob_max_terms) then # if number 2
> temporary := array_tmp7[1] * (glob_h ^ (1)) * factorial_3(0,1);
> array_x1[2] := temporary;
> array_x1_higher[1,2] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_x1_higher[2,1] := temporary
> ;
> fi;# end if 2
> ;
> fi;# end if 1
> ;
> kkk := 2;
> #emit pre diff $eq_no = 2 i = 1
> array_tmp9[1] := array_x2_higher[2,1];
> # emit pre mult $eq_no = 2 i = 1
> array_tmp10[1] := (array_const_3D0[1] * (array_tmp9[1]));
> # emit pre mult $eq_no = 2 i = 1
> array_tmp11[1] := (array_const_2D0[1] * (array_x2[1]));
> #emit pre sub $eq_no = 2 i = 1
> array_tmp12[1] := (array_tmp10[1] - (array_tmp11[1]));
> #emit pre diff $eq_no = 2 i = 1
> array_tmp13[1] := array_x1_higher[3,1];
> #emit pre sub $eq_no = 2 i = 1
> array_tmp14[1] := (array_tmp12[1] - (array_tmp13[1]));
> #emit pre diff $eq_no = 2 i = 1
> array_tmp15[1] := array_x1_higher[2,1];
> #emit pre sub $eq_no = 2 i = 1
> array_tmp16[1] := (array_tmp14[1] - (array_tmp15[1]));
> #emit pre add $eq_no = 2 i = 1
> array_tmp17[1] := array_tmp16[1] + array_x1[1];
> #emit pre assign xxx $eq_no = 2 i = 1 $min_hdrs = 5
> if not array_x2_set_initial[2,3] then # if number 1
> if (1 <= glob_max_terms) then # if number 2
> temporary := array_tmp17[1] * (glob_h ^ (2)) * factorial_3(0,2);
> array_x2[3] := temporary;
> array_x2_higher[1,3] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_x2_higher[2,2] := temporary
> ;
> temporary := temporary / glob_h * (3.0);
> array_x2_higher[3,1] := temporary
> ;
> fi;# end if 2
> ;
> fi;# end if 1
> ;
> kkk := 2;
> #END ATOMHDR1
> #BEGIN ATOMHDR2
> # emit pre mult $eq_no = 1 i = 2
> array_tmp1[2] := ats(2,array_const_4D0,array_x2,1);
> #emit pre add $eq_no = 1 i = 2
> array_tmp2[2] := array_const_0D0[2] + array_tmp1[2];
> #emit pre diff $eq_no = 1 i = 2
> array_tmp3[2] := array_x2_higher[2,2];
> # emit pre mult $eq_no = 1 i = 2
> array_tmp4[2] := ats(2,array_const_2D0,array_tmp3,1);
> #emit pre sub $eq_no = 1 i = 2
> array_tmp5[2] := (array_tmp2[2] - (array_tmp4[2]));
> # emit pre mult $eq_no = 1 i = 2
> array_tmp6[2] := ats(2,array_const_2D0,array_x1,1);
> #emit pre sub $eq_no = 1 i = 2
> array_tmp7[2] := (array_tmp5[2] - (array_tmp6[2]));
> #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5
> if not array_x1_set_initial[1,3] then # if number 1
> if (2 <= glob_max_terms) then # if number 2
> temporary := array_tmp7[2] * (glob_h ^ (1)) * factorial_3(1,2);
> array_x1[3] := temporary;
> array_x1_higher[1,3] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_x1_higher[2,2] := temporary
> ;
> fi;# end if 2
> ;
> fi;# end if 1
> ;
> kkk := 3;
> #emit pre diff $eq_no = 2 i = 2
> array_tmp9[2] := array_x2_higher[2,2];
> # emit pre mult $eq_no = 2 i = 2
> array_tmp10[2] := ats(2,array_const_3D0,array_tmp9,1);
> # emit pre mult $eq_no = 2 i = 2
> array_tmp11[2] := ats(2,array_const_2D0,array_x2,1);
> #emit pre sub $eq_no = 2 i = 2
> array_tmp12[2] := (array_tmp10[2] - (array_tmp11[2]));
> #emit pre diff $eq_no = 2 i = 2
> array_tmp13[2] := array_x1_higher[3,2];
> #emit pre sub $eq_no = 2 i = 2
> array_tmp14[2] := (array_tmp12[2] - (array_tmp13[2]));
> #emit pre diff $eq_no = 2 i = 2
> array_tmp15[2] := array_x1_higher[2,2];
> #emit pre sub $eq_no = 2 i = 2
> array_tmp16[2] := (array_tmp14[2] - (array_tmp15[2]));
> #emit pre add $eq_no = 2 i = 2
> array_tmp17[2] := array_tmp16[2] + array_x1[2];
> #emit pre assign xxx $eq_no = 2 i = 2 $min_hdrs = 5
> if not array_x2_set_initial[2,4] then # if number 1
> if (2 <= glob_max_terms) then # if number 2
> temporary := array_tmp17[2] * (glob_h ^ (2)) * factorial_3(1,3);
> array_x2[4] := temporary;
> array_x2_higher[1,4] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_x2_higher[2,3] := temporary
> ;
> temporary := temporary / glob_h * (3.0);
> array_x2_higher[3,2] := temporary
> ;
> fi;# end if 2
> ;
> fi;# end if 1
> ;
> kkk := 3;
> #END ATOMHDR2
> #BEGIN ATOMHDR3
> # emit pre mult $eq_no = 1 i = 3
> array_tmp1[3] := ats(3,array_const_4D0,array_x2,1);
> #emit pre add $eq_no = 1 i = 3
> array_tmp2[3] := array_const_0D0[3] + array_tmp1[3];
> #emit pre diff $eq_no = 1 i = 3
> array_tmp3[3] := array_x2_higher[2,3];
> # emit pre mult $eq_no = 1 i = 3
> array_tmp4[3] := ats(3,array_const_2D0,array_tmp3,1);
> #emit pre sub $eq_no = 1 i = 3
> array_tmp5[3] := (array_tmp2[3] - (array_tmp4[3]));
> # emit pre mult $eq_no = 1 i = 3
> array_tmp6[3] := ats(3,array_const_2D0,array_x1,1);
> #emit pre sub $eq_no = 1 i = 3
> array_tmp7[3] := (array_tmp5[3] - (array_tmp6[3]));
> #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5
> if not array_x1_set_initial[1,4] then # if number 1
> if (3 <= glob_max_terms) then # if number 2
> temporary := array_tmp7[3] * (glob_h ^ (1)) * factorial_3(2,3);
> array_x1[4] := temporary;
> array_x1_higher[1,4] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_x1_higher[2,3] := temporary
> ;
> fi;# end if 2
> ;
> fi;# end if 1
> ;
> kkk := 4;
> #emit pre diff $eq_no = 2 i = 3
> array_tmp9[3] := array_x2_higher[2,3];
> # emit pre mult $eq_no = 2 i = 3
> array_tmp10[3] := ats(3,array_const_3D0,array_tmp9,1);
> # emit pre mult $eq_no = 2 i = 3
> array_tmp11[3] := ats(3,array_const_2D0,array_x2,1);
> #emit pre sub $eq_no = 2 i = 3
> array_tmp12[3] := (array_tmp10[3] - (array_tmp11[3]));
> #emit pre diff $eq_no = 2 i = 3
> array_tmp13[3] := array_x1_higher[3,3];
> #emit pre sub $eq_no = 2 i = 3
> array_tmp14[3] := (array_tmp12[3] - (array_tmp13[3]));
> #emit pre diff $eq_no = 2 i = 3
> array_tmp15[3] := array_x1_higher[2,3];
> #emit pre sub $eq_no = 2 i = 3
> array_tmp16[3] := (array_tmp14[3] - (array_tmp15[3]));
> #emit pre add $eq_no = 2 i = 3
> array_tmp17[3] := array_tmp16[3] + array_x1[3];
> #emit pre assign xxx $eq_no = 2 i = 3 $min_hdrs = 5
> if not array_x2_set_initial[2,5] then # if number 1
> if (3 <= glob_max_terms) then # if number 2
> temporary := array_tmp17[3] * (glob_h ^ (2)) * factorial_3(2,4);
> array_x2[5] := temporary;
> array_x2_higher[1,5] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_x2_higher[2,4] := temporary
> ;
> temporary := temporary / glob_h * (3.0);
> array_x2_higher[3,3] := temporary
> ;
> fi;# end if 2
> ;
> fi;# end if 1
> ;
> kkk := 4;
> #END ATOMHDR3
> #BEGIN ATOMHDR4
> # emit pre mult $eq_no = 1 i = 4
> array_tmp1[4] := ats(4,array_const_4D0,array_x2,1);
> #emit pre add $eq_no = 1 i = 4
> array_tmp2[4] := array_const_0D0[4] + array_tmp1[4];
> #emit pre diff $eq_no = 1 i = 4
> array_tmp3[4] := array_x2_higher[2,4];
> # emit pre mult $eq_no = 1 i = 4
> array_tmp4[4] := ats(4,array_const_2D0,array_tmp3,1);
> #emit pre sub $eq_no = 1 i = 4
> array_tmp5[4] := (array_tmp2[4] - (array_tmp4[4]));
> # emit pre mult $eq_no = 1 i = 4
> array_tmp6[4] := ats(4,array_const_2D0,array_x1,1);
> #emit pre sub $eq_no = 1 i = 4
> array_tmp7[4] := (array_tmp5[4] - (array_tmp6[4]));
> #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5
> if not array_x1_set_initial[1,5] then # if number 1
> if (4 <= glob_max_terms) then # if number 2
> temporary := array_tmp7[4] * (glob_h ^ (1)) * factorial_3(3,4);
> array_x1[5] := temporary;
> array_x1_higher[1,5] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_x1_higher[2,4] := temporary
> ;
> fi;# end if 2
> ;
> fi;# end if 1
> ;
> kkk := 5;
> #emit pre diff $eq_no = 2 i = 4
> array_tmp9[4] := array_x2_higher[2,4];
> # emit pre mult $eq_no = 2 i = 4
> array_tmp10[4] := ats(4,array_const_3D0,array_tmp9,1);
> # emit pre mult $eq_no = 2 i = 4
> array_tmp11[4] := ats(4,array_const_2D0,array_x2,1);
> #emit pre sub $eq_no = 2 i = 4
> array_tmp12[4] := (array_tmp10[4] - (array_tmp11[4]));
> #emit pre diff $eq_no = 2 i = 4
> array_tmp13[4] := array_x1_higher[3,4];
> #emit pre sub $eq_no = 2 i = 4
> array_tmp14[4] := (array_tmp12[4] - (array_tmp13[4]));
> #emit pre diff $eq_no = 2 i = 4
> array_tmp15[4] := array_x1_higher[2,4];
> #emit pre sub $eq_no = 2 i = 4
> array_tmp16[4] := (array_tmp14[4] - (array_tmp15[4]));
> #emit pre add $eq_no = 2 i = 4
> array_tmp17[4] := array_tmp16[4] + array_x1[4];
> #emit pre assign xxx $eq_no = 2 i = 4 $min_hdrs = 5
> if not array_x2_set_initial[2,6] then # if number 1
> if (4 <= glob_max_terms) then # if number 2
> temporary := array_tmp17[4] * (glob_h ^ (2)) * factorial_3(3,5);
> array_x2[6] := temporary;
> array_x2_higher[1,6] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_x2_higher[2,5] := temporary
> ;
> temporary := temporary / glob_h * (3.0);
> array_x2_higher[3,4] := temporary
> ;
> fi;# end if 2
> ;
> fi;# end if 1
> ;
> kkk := 5;
> #END ATOMHDR4
> #BEGIN ATOMHDR5
> # emit pre mult $eq_no = 1 i = 5
> array_tmp1[5] := ats(5,array_const_4D0,array_x2,1);
> #emit pre add $eq_no = 1 i = 5
> array_tmp2[5] := array_const_0D0[5] + array_tmp1[5];
> #emit pre diff $eq_no = 1 i = 5
> array_tmp3[5] := array_x2_higher[2,5];
> # emit pre mult $eq_no = 1 i = 5
> array_tmp4[5] := ats(5,array_const_2D0,array_tmp3,1);
> #emit pre sub $eq_no = 1 i = 5
> array_tmp5[5] := (array_tmp2[5] - (array_tmp4[5]));
> # emit pre mult $eq_no = 1 i = 5
> array_tmp6[5] := ats(5,array_const_2D0,array_x1,1);
> #emit pre sub $eq_no = 1 i = 5
> array_tmp7[5] := (array_tmp5[5] - (array_tmp6[5]));
> #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5
> if not array_x1_set_initial[1,6] then # if number 1
> if (5 <= glob_max_terms) then # if number 2
> temporary := array_tmp7[5] * (glob_h ^ (1)) * factorial_3(4,5);
> array_x1[6] := temporary;
> array_x1_higher[1,6] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_x1_higher[2,5] := temporary
> ;
> fi;# end if 2
> ;
> fi;# end if 1
> ;
> kkk := 6;
> #emit pre diff $eq_no = 2 i = 5
> array_tmp9[5] := array_x2_higher[2,5];
> # emit pre mult $eq_no = 2 i = 5
> array_tmp10[5] := ats(5,array_const_3D0,array_tmp9,1);
> # emit pre mult $eq_no = 2 i = 5
> array_tmp11[5] := ats(5,array_const_2D0,array_x2,1);
> #emit pre sub $eq_no = 2 i = 5
> array_tmp12[5] := (array_tmp10[5] - (array_tmp11[5]));
> #emit pre diff $eq_no = 2 i = 5
> array_tmp13[5] := array_x1_higher[3,5];
> #emit pre sub $eq_no = 2 i = 5
> array_tmp14[5] := (array_tmp12[5] - (array_tmp13[5]));
> #emit pre diff $eq_no = 2 i = 5
> array_tmp15[5] := array_x1_higher[2,5];
> #emit pre sub $eq_no = 2 i = 5
> array_tmp16[5] := (array_tmp14[5] - (array_tmp15[5]));
> #emit pre add $eq_no = 2 i = 5
> array_tmp17[5] := array_tmp16[5] + array_x1[5];
> #emit pre assign xxx $eq_no = 2 i = 5 $min_hdrs = 5
> if not array_x2_set_initial[2,7] then # if number 1
> if (5 <= glob_max_terms) then # if number 2
> temporary := array_tmp17[5] * (glob_h ^ (2)) * factorial_3(4,6);
> array_x2[7] := temporary;
> array_x2_higher[1,7] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_x2_higher[2,6] := temporary
> ;
> temporary := temporary / glob_h * (3.0);
> array_x2_higher[3,5] := temporary
> ;
> fi;# end if 2
> ;
> fi;# end if 1
> ;
> kkk := 6;
> #END ATOMHDR5
> #BEGIN OUTFILE3
> #Top Atomall While Loop-- outfile3
> while (kkk <= glob_max_terms) do # do number 1
> #END OUTFILE3
> #BEGIN OUTFILE4
> #emit mult $eq_no = 1
> array_tmp1[kkk] := ats(kkk,array_const_4D0,array_x2,1);
> #emit add $eq_no = 1
> array_tmp2[kkk] := array_const_0D0[kkk] + array_tmp1[kkk];
> #emit diff $eq_no = 1
> array_tmp3[kkk] := array_x2_higher[2,kkk];
> #emit mult $eq_no = 1
> array_tmp4[kkk] := ats(kkk,array_const_2D0,array_tmp3,1);
> #emit sub $eq_no = 1
> array_tmp5[kkk] := (array_tmp2[kkk] - (array_tmp4[kkk]));
> #emit mult $eq_no = 1
> array_tmp6[kkk] := ats(kkk,array_const_2D0,array_x1,1);
> #emit sub $eq_no = 1
> array_tmp7[kkk] := (array_tmp5[kkk] - (array_tmp6[kkk]));
> #emit assign $eq_no = 1
> order_d := 1;
> if (kkk + order_d + 1 <= glob_max_terms) then # if number 1
> if not array_x1_set_initial[1,kkk + order_d] then # if number 2
> temporary := array_tmp7[kkk] * (glob_h ^ (order_d)) / factorial_3((kkk - 1),(kkk + order_d - 1));
> array_x1[kkk + order_d] := temporary;
> array_x1_higher[1,kkk + order_d] := temporary;
> term := kkk + order_d - 1;
> adj2 := 2;
> while (adj2 <= order_d + 1) and (term >= 1) do # do number 2
> temporary := temporary / glob_h * convfp(adj2);
> array_x1_higher[adj2,term] := temporary;
> adj2 := adj2 + 1;
> term := term - 1;
> od;# end do number 2
> fi;# end if 2
> fi;# end if 1
> ;
> #emit diff $eq_no = 2
> array_tmp9[kkk] := array_x2_higher[2,kkk];
> #emit mult $eq_no = 2
> array_tmp10[kkk] := ats(kkk,array_const_3D0,array_tmp9,1);
> #emit mult $eq_no = 2
> array_tmp11[kkk] := ats(kkk,array_const_2D0,array_x2,1);
> #emit sub $eq_no = 2
> array_tmp12[kkk] := (array_tmp10[kkk] - (array_tmp11[kkk]));
> #emit diff $eq_no = 2
> array_tmp13[kkk] := array_x1_higher[3,kkk];
> #emit sub $eq_no = 2
> array_tmp14[kkk] := (array_tmp12[kkk] - (array_tmp13[kkk]));
> #emit diff $eq_no = 2
> array_tmp15[kkk] := array_x1_higher[2,kkk];
> #emit sub $eq_no = 2
> array_tmp16[kkk] := (array_tmp14[kkk] - (array_tmp15[kkk]));
> #emit add $eq_no = 2
> array_tmp17[kkk] := array_tmp16[kkk] + array_x1[kkk];
> #emit assign $eq_no = 2
> order_d := 2;
> if (kkk + order_d + 1 <= glob_max_terms) then # if number 1
> if not array_x2_set_initial[2,kkk + order_d] then # if number 2
> temporary := array_tmp17[kkk] * (glob_h ^ (order_d)) / factorial_3((kkk - 1),(kkk + order_d - 1));
> array_x2[kkk + order_d] := temporary;
> array_x2_higher[1,kkk + order_d] := temporary;
> term := kkk + order_d - 1;
> adj2 := 2;
> while (adj2 <= order_d + 1) and (term >= 1) do # do number 2
> temporary := temporary / glob_h * convfp(adj2);
> array_x2_higher[adj2,term] := temporary;
> adj2 := adj2 + 1;
> term := term - 1;
> od;# end do number 2
> fi;# end if 2
> fi;# end if 1
> ;
> kkk := kkk + 1;
> od;# end do number 1
> ;
> #BOTTOM ATOMALL
> #END OUTFILE4
> #BEGIN OUTFILE5
> # End Function number 8
> end;
atomall := proc()
local kkk, order_d, adj2, temporary, term;
global ALWAYS, INFO, DEBUGMASSIVE, DEBUGL, glob_max_terms, glob_iolevel,
glob_unchanged_h_cnt, glob_smallish_float, centuries_in_millinium,
hours_in_day, djd_debug, glob_log10relerr, glob_normmax, glob_current_iter,
glob_curr_iter_when_opt, glob_hmin_init, glob_optimal_done,
years_in_century, sec_in_min, glob_iter, glob_max_trunc_err,
glob_initial_pass, glob_clock_start_sec, glob_almost_1, glob_percent_done,
glob_small_float, glob_dump, glob_subiter_method, MAX_UNCHANGED,
glob_optimal_start, glob_hmin, glob_not_yet_finished, days_in_year,
glob_max_opt_iter, glob_orig_start_sec, glob_optimal_clock_start_sec,
glob_log10_relerr, glob_log10_abserr, djd_debug2, glob_no_eqs,
glob_max_rel_trunc_err, glob_max_hours, glob_relerr, glob_last_good_h,
glob_large_float, glob_hmax, glob_reached_optimal_h, glob_look_poles,
glob_disp_incr, glob_display_flag, glob_warned2, glob_warned, glob_abserr,
glob_clock_sec, min_in_hour, glob_optimal_expect_sec, glob_log10normmin,
glob_log10abserr, glob_max_iter, glob_max_minutes, glob_start, glob_max_sec,
glob_dump_analytic, glob_h, glob_not_yet_start_msg, glob_html_log,
array_const_2D0, array_const_3D0, array_const_0D0, array_const_4D0,
array_const_2, array_const_1, array_1st_rel_error, array_x1_init,
array_last_rel_error, array_norms, array_m1, array_x1, array_t, array_x2,
array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14,
array_tmp15, array_tmp16, array_tmp17, array_pole, array_x2_init,
array_type_pole, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4,
array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_x2_higher,
array_x2_higher_work2, array_poles, array_x2_set_initial,
array_complex_pole, array_real_pole, array_x1_set_initial,
array_x1_higher_work, array_x2_higher_work, array_x1_higher_work2,
array_x1_higher, glob_last;
array_tmp1[1] := array_const_4D0[1]*array_x2[1];
array_tmp2[1] := array_const_0D0[1] + array_tmp1[1];
array_tmp3[1] := array_x2_higher[2, 1];
array_tmp4[1] := array_const_2D0[1]*array_tmp3[1];
array_tmp5[1] := array_tmp2[1] - array_tmp4[1];
array_tmp6[1] := array_const_2D0[1]*array_x1[1];
array_tmp7[1] := array_tmp5[1] - array_tmp6[1];
if not array_x1_set_initial[1, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp7[1]*glob_h*factorial_3(0, 1);
array_x1[2] := temporary;
array_x1_higher[1, 2] := temporary;
temporary := temporary*2.0/glob_h;
array_x1_higher[2, 1] := temporary
end if
end if;
kkk := 2;
array_tmp9[1] := array_x2_higher[2, 1];
array_tmp10[1] := array_const_3D0[1]*array_tmp9[1];
array_tmp11[1] := array_const_2D0[1]*array_x2[1];
array_tmp12[1] := array_tmp10[1] - array_tmp11[1];
array_tmp13[1] := array_x1_higher[3, 1];
array_tmp14[1] := array_tmp12[1] - array_tmp13[1];
array_tmp15[1] := array_x1_higher[2, 1];
array_tmp16[1] := array_tmp14[1] - array_tmp15[1];
array_tmp17[1] := array_tmp16[1] + array_x1[1];
if not array_x2_set_initial[2, 3] then
if 1 <= glob_max_terms then
temporary := array_tmp17[1]*glob_h^2*factorial_3(0, 2);
array_x2[3] := temporary;
array_x2_higher[1, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_x2_higher[2, 2] := temporary;
temporary := temporary*3.0/glob_h;
array_x2_higher[3, 1] := temporary
end if
end if;
kkk := 2;
array_tmp1[2] := ats(2, array_const_4D0, array_x2, 1);
array_tmp2[2] := array_const_0D0[2] + array_tmp1[2];
array_tmp3[2] := array_x2_higher[2, 2];
array_tmp4[2] := ats(2, array_const_2D0, array_tmp3, 1);
array_tmp5[2] := array_tmp2[2] - array_tmp4[2];
array_tmp6[2] := ats(2, array_const_2D0, array_x1, 1);
array_tmp7[2] := array_tmp5[2] - array_tmp6[2];
if not array_x1_set_initial[1, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp7[2]*glob_h*factorial_3(1, 2);
array_x1[3] := temporary;
array_x1_higher[1, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_x1_higher[2, 2] := temporary
end if
end if;
kkk := 3;
array_tmp9[2] := array_x2_higher[2, 2];
array_tmp10[2] := ats(2, array_const_3D0, array_tmp9, 1);
array_tmp11[2] := ats(2, array_const_2D0, array_x2, 1);
array_tmp12[2] := array_tmp10[2] - array_tmp11[2];
array_tmp13[2] := array_x1_higher[3, 2];
array_tmp14[2] := array_tmp12[2] - array_tmp13[2];
array_tmp15[2] := array_x1_higher[2, 2];
array_tmp16[2] := array_tmp14[2] - array_tmp15[2];
array_tmp17[2] := array_tmp16[2] + array_x1[2];
if not array_x2_set_initial[2, 4] then
if 2 <= glob_max_terms then
temporary := array_tmp17[2]*glob_h^2*factorial_3(1, 3);
array_x2[4] := temporary;
array_x2_higher[1, 4] := temporary;
temporary := temporary*2.0/glob_h;
array_x2_higher[2, 3] := temporary;
temporary := temporary*3.0/glob_h;
array_x2_higher[3, 2] := temporary
end if
end if;
kkk := 3;
array_tmp1[3] := ats(3, array_const_4D0, array_x2, 1);
array_tmp2[3] := array_const_0D0[3] + array_tmp1[3];
array_tmp3[3] := array_x2_higher[2, 3];
array_tmp4[3] := ats(3, array_const_2D0, array_tmp3, 1);
array_tmp5[3] := array_tmp2[3] - array_tmp4[3];
array_tmp6[3] := ats(3, array_const_2D0, array_x1, 1);
array_tmp7[3] := array_tmp5[3] - array_tmp6[3];
if not array_x1_set_initial[1, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp7[3]*glob_h*factorial_3(2, 3);
array_x1[4] := temporary;
array_x1_higher[1, 4] := temporary;
temporary := temporary*2.0/glob_h;
array_x1_higher[2, 3] := temporary
end if
end if;
kkk := 4;
array_tmp9[3] := array_x2_higher[2, 3];
array_tmp10[3] := ats(3, array_const_3D0, array_tmp9, 1);
array_tmp11[3] := ats(3, array_const_2D0, array_x2, 1);
array_tmp12[3] := array_tmp10[3] - array_tmp11[3];
array_tmp13[3] := array_x1_higher[3, 3];
array_tmp14[3] := array_tmp12[3] - array_tmp13[3];
array_tmp15[3] := array_x1_higher[2, 3];
array_tmp16[3] := array_tmp14[3] - array_tmp15[3];
array_tmp17[3] := array_tmp16[3] + array_x1[3];
if not array_x2_set_initial[2, 5] then
if 3 <= glob_max_terms then
temporary := array_tmp17[3]*glob_h^2*factorial_3(2, 4);
array_x2[5] := temporary;
array_x2_higher[1, 5] := temporary;
temporary := temporary*2.0/glob_h;
array_x2_higher[2, 4] := temporary;
temporary := temporary*3.0/glob_h;
array_x2_higher[3, 3] := temporary
end if
end if;
kkk := 4;
array_tmp1[4] := ats(4, array_const_4D0, array_x2, 1);
array_tmp2[4] := array_const_0D0[4] + array_tmp1[4];
array_tmp3[4] := array_x2_higher[2, 4];
array_tmp4[4] := ats(4, array_const_2D0, array_tmp3, 1);
array_tmp5[4] := array_tmp2[4] - array_tmp4[4];
array_tmp6[4] := ats(4, array_const_2D0, array_x1, 1);
array_tmp7[4] := array_tmp5[4] - array_tmp6[4];
if not array_x1_set_initial[1, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp7[4]*glob_h*factorial_3(3, 4);
array_x1[5] := temporary;
array_x1_higher[1, 5] := temporary;
temporary := temporary*2.0/glob_h;
array_x1_higher[2, 4] := temporary
end if
end if;
kkk := 5;
array_tmp9[4] := array_x2_higher[2, 4];
array_tmp10[4] := ats(4, array_const_3D0, array_tmp9, 1);
array_tmp11[4] := ats(4, array_const_2D0, array_x2, 1);
array_tmp12[4] := array_tmp10[4] - array_tmp11[4];
array_tmp13[4] := array_x1_higher[3, 4];
array_tmp14[4] := array_tmp12[4] - array_tmp13[4];
array_tmp15[4] := array_x1_higher[2, 4];
array_tmp16[4] := array_tmp14[4] - array_tmp15[4];
array_tmp17[4] := array_tmp16[4] + array_x1[4];
if not array_x2_set_initial[2, 6] then
if 4 <= glob_max_terms then
temporary := array_tmp17[4]*glob_h^2*factorial_3(3, 5);
array_x2[6] := temporary;
array_x2_higher[1, 6] := temporary;
temporary := temporary*2.0/glob_h;
array_x2_higher[2, 5] := temporary;
temporary := temporary*3.0/glob_h;
array_x2_higher[3, 4] := temporary
end if
end if;
kkk := 5;
array_tmp1[5] := ats(5, array_const_4D0, array_x2, 1);
array_tmp2[5] := array_const_0D0[5] + array_tmp1[5];
array_tmp3[5] := array_x2_higher[2, 5];
array_tmp4[5] := ats(5, array_const_2D0, array_tmp3, 1);
array_tmp5[5] := array_tmp2[5] - array_tmp4[5];
array_tmp6[5] := ats(5, array_const_2D0, array_x1, 1);
array_tmp7[5] := array_tmp5[5] - array_tmp6[5];
if not array_x1_set_initial[1, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp7[5]*glob_h*factorial_3(4, 5);
array_x1[6] := temporary;
array_x1_higher[1, 6] := temporary;
temporary := temporary*2.0/glob_h;
array_x1_higher[2, 5] := temporary
end if
end if;
kkk := 6;
array_tmp9[5] := array_x2_higher[2, 5];
array_tmp10[5] := ats(5, array_const_3D0, array_tmp9, 1);
array_tmp11[5] := ats(5, array_const_2D0, array_x2, 1);
array_tmp12[5] := array_tmp10[5] - array_tmp11[5];
array_tmp13[5] := array_x1_higher[3, 5];
array_tmp14[5] := array_tmp12[5] - array_tmp13[5];
array_tmp15[5] := array_x1_higher[2, 5];
array_tmp16[5] := array_tmp14[5] - array_tmp15[5];
array_tmp17[5] := array_tmp16[5] + array_x1[5];
if not array_x2_set_initial[2, 7] then
if 5 <= glob_max_terms then
temporary := array_tmp17[5]*glob_h^2*factorial_3(4, 6);
array_x2[7] := temporary;
array_x2_higher[1, 7] := temporary;
temporary := temporary*2.0/glob_h;
array_x2_higher[2, 6] := temporary;
temporary := temporary*3.0/glob_h;
array_x2_higher[3, 5] := temporary
end if
end if;
kkk := 6;
while kkk <= glob_max_terms do
array_tmp1[kkk] := ats(kkk, array_const_4D0, array_x2, 1);
array_tmp2[kkk] := array_const_0D0[kkk] + array_tmp1[kkk];
array_tmp3[kkk] := array_x2_higher[2, kkk];
array_tmp4[kkk] := ats(kkk, array_const_2D0, array_tmp3, 1);
array_tmp5[kkk] := array_tmp2[kkk] - array_tmp4[kkk];
array_tmp6[kkk] := ats(kkk, array_const_2D0, array_x1, 1);
array_tmp7[kkk] := array_tmp5[kkk] - array_tmp6[kkk];
order_d := 1;
if kkk + order_d + 1 <= glob_max_terms then
if not array_x1_set_initial[1, kkk + order_d] then
temporary := array_tmp7[kkk]*glob_h^order_d/
factorial_3(kkk - 1, kkk + order_d - 1);
array_x1[kkk + order_d] := temporary;
array_x1_higher[1, kkk + order_d] := temporary;
term := kkk + order_d - 1;
adj2 := 2;
while adj2 <= order_d + 1 and 1 <= term do
temporary := temporary*convfp(adj2)/glob_h;
array_x1_higher[adj2, term] := temporary;
adj2 := adj2 + 1;
term := term - 1
end do
end if
end if;
array_tmp9[kkk] := array_x2_higher[2, kkk];
array_tmp10[kkk] := ats(kkk, array_const_3D0, array_tmp9, 1);
array_tmp11[kkk] := ats(kkk, array_const_2D0, array_x2, 1);
array_tmp12[kkk] := array_tmp10[kkk] - array_tmp11[kkk];
array_tmp13[kkk] := array_x1_higher[3, kkk];
array_tmp14[kkk] := array_tmp12[kkk] - array_tmp13[kkk];
array_tmp15[kkk] := array_x1_higher[2, kkk];
array_tmp16[kkk] := array_tmp14[kkk] - array_tmp15[kkk];
array_tmp17[kkk] := array_tmp16[kkk] + array_x1[kkk];
order_d := 2;
if kkk + order_d + 1 <= glob_max_terms then
if not array_x2_set_initial[2, kkk + order_d] then
temporary := array_tmp17[kkk]*glob_h^order_d/
factorial_3(kkk - 1, kkk + order_d - 1);
array_x2[kkk + order_d] := temporary;
array_x2_higher[1, kkk + order_d] := temporary;
term := kkk + order_d - 1;
adj2 := 2;
while adj2 <= order_d + 1 and 1 <= term do
temporary := temporary*convfp(adj2)/glob_h;
array_x2_higher[adj2, term] := temporary;
adj2 := adj2 + 1;
term := term - 1
end do
end if
end if;
kkk := kkk + 1
end do
end proc
> #BEGIN ATS LIBRARY BLOCK
> omniout_str := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> printf("%s\n",str);
> fi;
> # End Function number 1
> end;
omniout_str := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s\n", str) end if
end proc
> omniout_str_noeol := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> printf("%s",str);
> fi;
> # End Function number 1
> end;
omniout_str_noeol := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s", str) end if
end proc
> omniout_labstr := proc(iolevel,label,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> print(label,str);
> fi;
> # End Function number 1
> end;
omniout_labstr := proc(iolevel, label, str)
global glob_iolevel;
if iolevel <= glob_iolevel then print(label, str) end if
end proc
> omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> if vallen = 4 then
> printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel);
> else
> printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel);
> fi;
> fi;
> # End Function number 1
> end;
omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 4 then
printf("%-30s = %-42.4g %s \n", prelabel, value, postlabel)
else printf("%-30s = %-42.32g %s \n", prelabel, value, postlabel)
end if
end if
end proc
> omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> if vallen = 5 then
> printf("%-30s = %-32d %s\n",prelabel,value, postlabel);
> else
> printf("%-30s = %-32d %s \n",prelabel,value, postlabel);
> fi;
> fi;
> # End Function number 1
> end;
omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 5 then
printf("%-30s = %-32d %s\n", prelabel, value, postlabel)
else printf("%-30s = %-32d %s \n", prelabel, value, postlabel)
end if
end if
end proc
> omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> print(prelabel,"[",elemnt,"]",value, postlabel);
> fi;
> # End Function number 1
> end;
omniout_float_arr := proc(
iolevel, prelabel, elemnt, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
print(prelabel, "[", elemnt, "]", value, postlabel)
end if
end proc
> dump_series := proc(iolevel,dump_label,series_name,
> array_series,numb)
> global glob_iolevel;
> local i;
> if (glob_iolevel >= iolevel) then
> i := 1;
> while (i <= numb) do
> print(dump_label,series_name
> ,i,array_series[i]);
> i := i + 1;
> od;
> fi;
> # End Function number 1
> end;
dump_series := proc(iolevel, dump_label, series_name, array_series, numb)
local i;
global glob_iolevel;
if iolevel <= glob_iolevel then
i := 1;
while i <= numb do
print(dump_label, series_name, i, array_series[i]); i := i + 1
end do
end if
end proc
> dump_series_2 := proc(iolevel,dump_label,series_name2,
> array_series2,numb,subnum,array_x)
> global glob_iolevel;
> local i,sub,ts_term;
> if (glob_iolevel >= iolevel) then
> sub := 1;
> while (sub <= subnum) do
> i := 1;
> while (i <= numb) do
> print(dump_label,series_name2,sub,i,array_series2[sub,i]);
> od;
> sub := sub + 1;
> od;
> fi;
> # End Function number 1
> end;
dump_series_2 := proc(
iolevel, dump_label, series_name2, array_series2, numb, subnum, array_x)
local i, sub, ts_term;
global glob_iolevel;
if iolevel <= glob_iolevel then
sub := 1;
while sub <= subnum do
i := 1;
while i <= numb do print(dump_label, series_name2, sub, i,
array_series2[sub, i])
end do;
sub := sub + 1
end do
end if
end proc
> cs_info := proc(iolevel,str)
> global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h;
> if (glob_iolevel >= iolevel) then
> print("cs_info " , str , " glob_correct_start_flag = " , glob_correct_start_flag , "glob_h := " , glob_h , "glob_reached_optimal_h := " , glob_reached_optimal_h)
> fi;
> # End Function number 1
> end;
cs_info := proc(iolevel, str)
global
glob_iolevel, glob_correct_start_flag, glob_h, glob_reached_optimal_h;
if iolevel <= glob_iolevel then print("cs_info ", str,
" glob_correct_start_flag = ", glob_correct_start_flag,
"glob_h := ", glob_h, "glob_reached_optimal_h := ",
glob_reached_optimal_h)
end if
end proc
> # Begin Function number 2
> logitem_time := proc(fd,secs_in)
> global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century;
> local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int;
> secs := (secs_in);
> if (secs > 0.0) then # if number 1
> sec_in_millinium := convfloat(sec_in_min * min_in_hour * hours_in_day * days_in_year * years_in_century * centuries_in_millinium);
> milliniums := convfloat(secs / sec_in_millinium);
> millinium_int := floor(milliniums);
> centuries := (milliniums - millinium_int)*centuries_in_millinium;
> cent_int := floor(centuries);
> years := (centuries - cent_int) * years_in_century;
> years_int := floor(years);
> days := (years - years_int) * days_in_year;
> days_int := floor(days);
> hours := (days - days_int) * hours_in_day;
> hours_int := floor(hours);
> minutes := (hours - hours_int) * min_in_hour;
> minutes_int := floor(minutes);
> seconds := (minutes - minutes_int) * sec_in_min;
> sec_int := floor(seconds);
> fprintf(fd,"
");
> if (millinium_int > 0) then # if number 2
> fprintf(fd,"%d Millinia %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",millinium_int,cent_int,years_int,days_int,hours_int,minutes_int,sec_int);
> elif (cent_int > 0) then # if number 3
> fprintf(fd,"%d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",cent_int,years_int,days_int,hours_int,minutes_int,sec_int);
> elif (years_int > 0) then # if number 4
> fprintf(fd,"%d Years %d Days %d Hours %d Minutes %d Seconds",years_int,days_int,hours_int,minutes_int,sec_int);
> elif (days_int > 0) then # if number 5
> fprintf(fd,"%d Days %d Hours %d Minutes %d Seconds",days_int,hours_int,minutes_int,sec_int);
> elif (hours_int > 0) then # if number 6
> fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int);
> elif (minutes_int > 0) then # if number 7
> fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int);
> else
> fprintf(fd,"%d Seconds",sec_int);
> fi;# end if 7
> else
> fprintf(fd,"Unknown");
> fi;# end if 6
> fprintf(fd," | ");
> # End Function number 2
> end;
logitem_time := proc(fd, secs_in)
local cent_int, centuries, days, days_int, hours, hours_int, millinium_int,
milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs,
years, years_int;
global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour,
sec_in_min, years_in_century;
secs := secs_in;
if 0. < secs then
sec_in_millinium := convfloat(sec_in_min*min_in_hour*hours_in_day*
days_in_year*years_in_century*centuries_in_millinium);
milliniums := convfloat(secs/sec_in_millinium);
millinium_int := floor(milliniums);
centuries := (milliniums - millinium_int)*centuries_in_millinium;
cent_int := floor(centuries);
years := (centuries - cent_int)*years_in_century;
years_int := floor(years);
days := (years - years_int)*days_in_year;
days_int := floor(days);
hours := (days - days_int)*hours_in_day;
hours_int := floor(hours);
minutes := (hours - hours_int)*min_in_hour;
minutes_int := floor(minutes);
seconds := (minutes - minutes_int)*sec_in_min;
sec_int := floor(seconds);
fprintf(fd, "");
if 0 < millinium_int then fprintf(fd, "%d Millinia %d Centuries %\
d Years %d Days %d Hours %d Minutes %d Seconds", millinium_int,
cent_int, years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < cent_int then fprintf(fd,
"%d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",
cent_int, years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < years_int then fprintf(fd,
"%d Years %d Days %d Hours %d Minutes %d Seconds", years_int,
days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then fprintf(fd,
"%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int,
minutes_int, sec_int)
elif 0 < hours_int then fprintf(fd,
"%d Hours %d Minutes %d Seconds", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int)
else fprintf(fd, "%d Seconds", sec_int)
end if
else fprintf(fd, "Unknown")
end if;
fprintf(fd, " | ")
end proc
> omniout_timestr := proc (secs_in)
> global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century;
> local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int;
> secs := convfloat(secs_in);
> if (secs > 0.0) then # if number 6
> sec_in_millinium := convfloat(sec_in_min * min_in_hour * hours_in_day * days_in_year * years_in_century * centuries_in_millinium);
> milliniums := convfloat(secs / sec_in_millinium);
> millinium_int := floor(milliniums);
> centuries := (milliniums - millinium_int)*centuries_in_millinium;
> cent_int := floor(centuries);
> years := (centuries - cent_int) * years_in_century;
> years_int := floor(years);
> days := (years - years_int) * days_in_year;
> days_int := floor(days);
> hours := (days - days_int) * hours_in_day;
> hours_int := floor(hours);
> minutes := (hours - hours_int) * min_in_hour;
> minutes_int := floor(minutes);
> seconds := (minutes - minutes_int) * sec_in_min;
> sec_int := floor(seconds);
>
> if (millinium_int > 0) then # if number 7
> printf(" = %d Millinia %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds\n",millinium_int,cent_int,years_int,days_int,hours_int,minutes_int,sec_int);
> elif (cent_int > 0) then # if number 8
> printf(" = %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds\n",cent_int,years_int,days_int,hours_int,minutes_int,sec_int);
> elif (years_int > 0) then # if number 9
> printf(" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",years_int,days_int,hours_int,minutes_int,sec_int);
> elif (days_int > 0) then # if number 10
> printf(" = %d Days %d Hours %d Minutes %d Seconds\n",days_int,hours_int,minutes_int,sec_int);
> elif (hours_int > 0) then # if number 11
> printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int);
> elif (minutes_int > 0) then # if number 12
> printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int);
> else
> printf(" = %d Seconds\n",sec_int);
> fi;# end if 12
> else
> printf(" Unknown\n");
> fi;# end if 11
> # End Function number 2
> end;
omniout_timestr := proc(secs_in)
local cent_int, centuries, days, days_int, hours, hours_int, millinium_int,
milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs,
years, years_int;
global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour,
sec_in_min, years_in_century;
secs := convfloat(secs_in);
if 0. < secs then
sec_in_millinium := convfloat(sec_in_min*min_in_hour*hours_in_day*
days_in_year*years_in_century*centuries_in_millinium);
milliniums := convfloat(secs/sec_in_millinium);
millinium_int := floor(milliniums);
centuries := (milliniums - millinium_int)*centuries_in_millinium;
cent_int := floor(centuries);
years := (centuries - cent_int)*years_in_century;
years_int := floor(years);
days := (years - years_int)*days_in_year;
days_int := floor(days);
hours := (days - days_int)*hours_in_day;
hours_int := floor(hours);
minutes := (hours - hours_int)*min_in_hour;
minutes_int := floor(minutes);
seconds := (minutes - minutes_int)*sec_in_min;
sec_int := floor(seconds);
if 0 < millinium_int then printf(" = %d Millinia %d Centuries %d\
Years %d Days %d Hours %d Minutes %d Seconds\n", millinium_int,
cent_int, years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < cent_int then printf(" = %d Centuries %d Years %d Days \
%d Hours %d Minutes %d Seconds\n", cent_int, years_int,
days_int, hours_int, minutes_int, sec_int)
elif 0 < years_int then printf(
" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",
years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then printf(
" = %d Days %d Hours %d Minutes %d Seconds\n", days_int,
hours_int, minutes_int, sec_int)
elif 0 < hours_int then printf(
" = %d Hours %d Minutes %d Seconds\n", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
printf(" = %d Minutes %d Seconds\n", minutes_int, sec_int)
else printf(" = %d Seconds\n", sec_int)
end if
else printf(" Unknown\n")
end if
end proc
>
> # Begin Function number 3
> ats := proc(
> mmm_ats,array_a,array_b,jjj_ats)
> local iii_ats, lll_ats,ma_ats, ret_ats;
> ret_ats := 0.0;
> if (jjj_ats <= mmm_ats) then # if number 11
> ma_ats := mmm_ats + 1;
> iii_ats := jjj_ats;
> while (iii_ats <= mmm_ats) do # do number 1
> lll_ats := ma_ats - iii_ats;
> ret_ats := ret_ats + array_a[iii_ats]*array_b[lll_ats];
> iii_ats := iii_ats + 1;
> od;# end do number 1
> fi;# end if 11
> ;
> ret_ats
> # End Function number 3
> end;
ats := proc(mmm_ats, array_a, array_b, jjj_ats)
local iii_ats, lll_ats, ma_ats, ret_ats;
ret_ats := 0.;
if jjj_ats <= mmm_ats then
ma_ats := mmm_ats + 1;
iii_ats := jjj_ats;
while iii_ats <= mmm_ats do
lll_ats := ma_ats - iii_ats;
ret_ats := ret_ats + array_a[iii_ats]*array_b[lll_ats];
iii_ats := iii_ats + 1
end do
end if;
ret_ats
end proc
>
> # Begin Function number 4
> att := proc(
> mmm_att,array_aa,array_bb,jjj_att)
> global glob_max_terms;
> local al_att, iii_att,lll_att, ma_att, ret_att;
> ret_att := 0.0;
> if (jjj_att <= mmm_att) then # if number 11
> ma_att := mmm_att + 2;
> iii_att := jjj_att;
> while (iii_att <= mmm_att) do # do number 1
> lll_att := ma_att - iii_att;
> al_att := (lll_att - 1);
> if (lll_att <= glob_max_terms) then # if number 12
> ret_att := ret_att + array_aa[iii_att]*array_bb[lll_att]* convfp(al_att);
> fi;# end if 12
> ;
> iii_att := iii_att + 1;
> od;# end do number 1
> ;
> ret_att := ret_att / convfp(mmm_att) ;
> fi;# end if 11
> ;
> ret_att;
> # End Function number 4
> end;
att := proc(mmm_att, array_aa, array_bb, jjj_att)
local al_att, iii_att, lll_att, ma_att, ret_att;
global glob_max_terms;
ret_att := 0.;
if jjj_att <= mmm_att then
ma_att := mmm_att + 2;
iii_att := jjj_att;
while iii_att <= mmm_att do
lll_att := ma_att - iii_att;
al_att := lll_att - 1;
if lll_att <= glob_max_terms then ret_att := ret_att
+ array_aa[iii_att]*array_bb[lll_att]*convfp(al_att)
end if;
iii_att := iii_att + 1
end do;
ret_att := ret_att/convfp(mmm_att)
end if;
ret_att
end proc
> # Begin Function number 5
> display_pole := proc()
> global ALWAYS,glob_display_flag, glob_large_float, array_pole;
> if ((array_pole[1] <> glob_large_float) and (array_pole[1] > 0.0) and (array_pole[2] <> glob_large_float) and (array_pole[2]> 0.0) and glob_display_flag) then # if number 11
> omniout_float(ALWAYS,"Radius of convergence ",4, array_pole[1],4," ");
> omniout_float(ALWAYS,"Order of pole ",4, array_pole[2],4," ");
> fi;# end if 11
> # End Function number 5
> end;
display_pole := proc()
global ALWAYS, glob_display_flag, glob_large_float, array_pole;
if array_pole[1] <> glob_large_float and 0. < array_pole[1] and
array_pole[2] <> glob_large_float and 0. < array_pole[2] and
glob_display_flag then
omniout_float(ALWAYS, "Radius of convergence ", 4,
array_pole[1], 4, " ");
omniout_float(ALWAYS, "Order of pole ", 4,
array_pole[2], 4, " ")
end if
end proc
> # Begin Function number 6
> logditto := proc(file)
> fprintf(file,"");
> fprintf(file,"ditto");
> fprintf(file," | ");
> # End Function number 6
> end;
logditto := proc(file)
fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, " | ")
end proc
> # Begin Function number 7
> logitem_integer := proc(file,n)
> fprintf(file,"");
> fprintf(file,"%d",n);
> fprintf(file," | ");
> # End Function number 7
> end;
logitem_integer := proc(file, n)
fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, " | ")
end proc
> # Begin Function number 8
> logitem_str := proc(file,str)
> fprintf(file,"");
> fprintf(file,str);
> fprintf(file," | ");
> # End Function number 8
> end;
logitem_str := proc(file, str)
fprintf(file, ""); fprintf(file, str); fprintf(file, " | ")
end proc
> # Begin Function number 9
> log_revs := proc(file,revs)
> fprintf(file,revs);
> # End Function number 9
> end;
log_revs := proc(file, revs) fprintf(file, revs) end proc
> # Begin Function number 10
> logitem_float := proc(file,x)
> fprintf(file,"");
> fprintf(file,"%g",x);
> fprintf(file," | ");
> # End Function number 10
> end;
logitem_float := proc(file, x)
fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, " | ")
end proc
> # Begin Function number 11
> logitem_pole := proc(file,pole)
> fprintf(file,"");
> if pole = 0 then # if number 11
> fprintf(file,"NA");
> elif pole = 1 then # if number 12
> fprintf(file,"Real");
> elif pole = 2 then # if number 13
> fprintf(file,"Complex");
> else
> fprintf(file,"No Pole");
> fi;# end if 13
> fprintf(file," | ");
> # End Function number 11
> end;
logitem_pole := proc(file, pole)
fprintf(file, "");
if pole = 0 then fprintf(file, "NA")
elif pole = 1 then fprintf(file, "Real")
elif pole = 2 then fprintf(file, "Complex")
else fprintf(file, "No Pole")
end if;
fprintf(file, " | ")
end proc
> # Begin Function number 12
> logstart := proc(file)
> fprintf(file,"");
> # End Function number 12
> end;
logstart := proc(file) fprintf(file, "
") end proc
> # Begin Function number 13
> logend := proc(file)
> fprintf(file,"
\n");
> # End Function number 13
> end;
logend := proc(file) fprintf(file, "\n") end proc
> # Begin Function number 14
> chk_data := proc()
> global glob_max_iter,ALWAYS, glob_max_terms;
> local errflag;
> errflag := false;
>
> if ((glob_max_terms < 15) or (glob_max_terms > 512)) then # if number 13
> omniout_str(ALWAYS,"Illegal max_terms = -- Using 30");
> glob_max_terms := 30;
> fi;# end if 13
> ;
> if (glob_max_iter < 2) then # if number 13
> omniout_str(ALWAYS,"Illegal max_iter");
> errflag := true;
> fi;# end if 13
> ;
> if (errflag) then # if number 13
>
> quit;
> fi;# end if 13
> # End Function number 14
> end;
chk_data := proc()
local errflag;
global glob_max_iter, ALWAYS, glob_max_terms;
errflag := false;
if glob_max_terms < 15 or 512 < glob_max_terms then
omniout_str(ALWAYS, "Illegal max_terms = -- Using 30");
glob_max_terms := 30
end if;
if glob_max_iter < 2 then
omniout_str(ALWAYS, "Illegal max_iter"); errflag := true
end if;
if errflag then quit end if
end proc
>
> # Begin Function number 15
> comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec)
> global glob_small_float;
> local ms2, rrr, sec_left, sub1, sub2;
> ;
> ms2 := clock_sec;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub1 = 0.0) then # if number 13
> sec_left := 0.0;
> else
> if (abs(sub2) > 0.0) then # if number 14
> rrr := (sub1/sub2);
> sec_left := rrr * ms2 - ms2;
> else
> sec_left := 0.0;
> fi;# end if 14
> fi;# end if 13
> ;
> sec_left;
> # End Function number 15
> end;
comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec)
local ms2, rrr, sec_left, sub1, sub2;
global glob_small_float;
ms2 := clock_sec;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if sub1 = 0. then sec_left := 0.
else
if 0. < abs(sub2) then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2
else sec_left := 0.
end if
end if;
sec_left
end proc
>
> # Begin Function number 16
> comp_percent := proc(t_end2,t_start2,t2)
> global glob_small_float;
> local rrr, sub1, sub2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (abs(sub2) > glob_small_float) then # if number 13
> rrr := (100.0*sub2)/sub1;
> else
> rrr := 0.0;
> fi;# end if 13
> ;
> rrr
> # End Function number 16
> end;
comp_percent := proc(t_end2, t_start2, t2)
local rrr, sub1, sub2;
global glob_small_float;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if glob_small_float < abs(sub2) then rrr := 100.0*sub2/sub1
else rrr := 0.
end if;
rrr
end proc
>
> # Begin Function number 17
> factorial_1 := proc(nnn)
> nnn!;
>
> # End Function number 17
> end;
factorial_1 := proc(nnn) nnn! end proc
>
> # Begin Function number 18
> factorial_3 := proc(mmm2,nnn2)
> (mmm2!)/(nnn2!);
>
> # End Function number 18
> end;
factorial_3 := proc(mmm2, nnn2) mmm2!/nnn2! end proc
> # Begin Function number 19
> convfp := proc(mmm)
> (mmm);
>
> # End Function number 19
> end;
convfp := proc(mmm) mmm end proc
> # Begin Function number 20
> convfloat := proc(mmm)
> (mmm);
>
> # End Function number 20
> end;
convfloat := proc(mmm) mmm end proc
> elapsed_time_seconds := proc()
> time();
> end;
elapsed_time_seconds := proc() time() end proc
>
>
>
> #END ATS LIBRARY BLOCK
> #BEGIN USER DEF BLOCK
> #BEGIN USER DEF BLOCK
> exact_soln_x1 := proc(t)
> local c1,c2,c3;
> c1 := 1.0;
> c2 := 0.0002;
> c3 := 0.0003;
> 2.0 * c1 + 6.0 * c3 * exp(-t);
> end;
exact_soln_x1 := proc(t)
local c1, c2, c3;
c1 := 1.0; c2 := 0.0002; c3 := 0.0003; 2.0*c1 + 6.0*c3*exp(-t)
end proc
> exact_soln_x1p := proc(t)
> local c1,c2,c3;
> c1 := 1.0;
> c2 := 0.0002;
> c3 := 0.0003;
> - 6.0 * c3 * exp(-t);
> end;
exact_soln_x1p := proc(t)
local c1, c2, c3;
c1 := 1.0; c2 := 0.0002; c3 := 0.0003; -6.0*c3*exp(-t)
end proc
> exact_soln_x2 := proc(t)
> local c1,c2,c3;
> c1 := 1.0;
> c2 := 0.0002;
> c3 := 0.0003;
> c1 + c2 * exp(2.0 * t) + c3 * exp(-t);
> end;
exact_soln_x2 := proc(t)
local c1, c2, c3;
c1 := 1.0; c2 := 0.0002; c3 := 0.0003; c1 + c2*exp(2.0*t) + c3*exp(-t)
end proc
> exact_soln_x2p := proc(t)
> local c1,c2,c3;
> c1 := 1.0;
> c2 := 0.0002;
> c3 := 0.0003;
> 2.0 * c2 * exp(2.0 * t) - c3 * exp(-t);
> end;
exact_soln_x2p := proc(t)
local c1, c2, c3;
c1 := 1.0; c2 := 0.0002; c3 := 0.0003; 2.0*c2*exp(2.0*t) - c3*exp(-t)
end proc
> #END USER DEF BLOCK
> #END USER DEF BLOCK
> #END OUTFILE5
> # Begin Function number 2
> mainprog := proc()
> #BEGIN OUTFIEMAIN
> local d1,d2,d3,d4,est_err_2,niii,done_once,
> term,ord,order_diff,term_no,html_log_file,
> rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter,
> t_start,t_end
> ,it, log10norm, max_terms, opt_iter, tmp;
> #Top Generate Globals Definition
> #Bottom Generate Globals Deninition
> global
> ALWAYS,
> INFO,
> DEBUGMASSIVE,
> DEBUGL,
> glob_max_terms,
> glob_iolevel,
> #Top Generate Globals Decl
> glob_unchanged_h_cnt,
> glob_smallish_float,
> centuries_in_millinium,
> hours_in_day,
> djd_debug,
> glob_log10relerr,
> glob_normmax,
> glob_current_iter,
> glob_curr_iter_when_opt,
> glob_hmin_init,
> glob_optimal_done,
> years_in_century,
> sec_in_min,
> glob_iter,
> glob_max_trunc_err,
> glob_initial_pass,
> glob_clock_start_sec,
> glob_almost_1,
> glob_percent_done,
> glob_small_float,
> glob_dump,
> glob_subiter_method,
> MAX_UNCHANGED,
> glob_optimal_start,
> glob_hmin,
> glob_not_yet_finished,
> days_in_year,
> glob_max_opt_iter,
> glob_orig_start_sec,
> glob_optimal_clock_start_sec,
> glob_log10_relerr,
> glob_log10_abserr,
> djd_debug2,
> glob_no_eqs,
> glob_max_rel_trunc_err,
> glob_max_hours,
> glob_relerr,
> glob_last_good_h,
> glob_large_float,
> glob_hmax,
> glob_reached_optimal_h,
> glob_look_poles,
> glob_disp_incr,
> glob_display_flag,
> glob_warned2,
> glob_warned,
> glob_abserr,
> glob_clock_sec,
> min_in_hour,
> glob_optimal_expect_sec,
> glob_log10normmin,
> glob_log10abserr,
> glob_max_iter,
> glob_max_minutes,
> glob_start,
> glob_max_sec,
> glob_dump_analytic,
> glob_h,
> glob_not_yet_start_msg,
> glob_html_log,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_2D0,
> array_const_3D0,
> array_const_0D0,
> array_const_4D0,
> array_const_2,
> array_const_1,
> #END CONST
> array_1st_rel_error,
> array_x1_init,
> array_last_rel_error,
> array_norms,
> array_m1,
> array_x1,
> array_t,
> array_x2,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_tmp16,
> array_tmp17,
> array_pole,
> array_x2_init,
> array_type_pole,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_x2_higher,
> array_x2_higher_work2,
> array_poles,
> array_x2_set_initial,
> array_complex_pole,
> array_real_pole,
> array_x1_set_initial,
> array_x1_higher_work,
> array_x2_higher_work,
> array_x1_higher_work2,
> array_x1_higher,
> glob_last;
> glob_last;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> glob_iolevel := INFO;
> ALWAYS := 1;
> INFO := 2;
> DEBUGMASSIVE := 4;
> DEBUGL := 3;
> glob_max_terms := 30;
> glob_iolevel := 5;
> glob_unchanged_h_cnt := 0;
> glob_smallish_float := 0.1e-100;
> centuries_in_millinium := 10.0;
> hours_in_day := 24.0;
> djd_debug := true;
> glob_log10relerr := 0.0;
> glob_normmax := 0.0;
> glob_current_iter := 0;
> glob_curr_iter_when_opt := 0;
> glob_hmin_init := 0.001;
> glob_optimal_done := false;
> years_in_century := 100.0;
> sec_in_min := 60.0;
> glob_iter := 0;
> glob_max_trunc_err := 0.1e-10;
> glob_initial_pass := true;
> glob_clock_start_sec := 0.0;
> glob_almost_1 := 0.9990;
> glob_percent_done := 0.0;
> glob_small_float := 0.1e-50;
> glob_dump := false;
> glob_subiter_method := 3;
> MAX_UNCHANGED := 10;
> glob_optimal_start := 0.0;
> glob_hmin := 0.00000000001;
> glob_not_yet_finished := true;
> days_in_year := 365.0;
> glob_max_opt_iter := 10;
> glob_orig_start_sec := 0.0;
> glob_optimal_clock_start_sec := 0.0;
> glob_log10_relerr := 0.1e-10;
> glob_log10_abserr := 0.1e-10;
> djd_debug2 := true;
> glob_no_eqs := 0;
> glob_max_rel_trunc_err := 0.1e-10;
> glob_max_hours := 0.0;
> glob_relerr := 0.1e-10;
> glob_last_good_h := 0.1;
> glob_large_float := 9.0e100;
> glob_hmax := 1.0;
> glob_reached_optimal_h := false;
> glob_look_poles := false;
> glob_disp_incr := 0.1;
> glob_display_flag := true;
> glob_warned2 := false;
> glob_warned := false;
> glob_abserr := 0.1e-10;
> glob_clock_sec := 0.0;
> min_in_hour := 60.0;
> glob_optimal_expect_sec := 0.1;
> glob_log10normmin := 0.1;
> glob_log10abserr := 0.0;
> glob_max_iter := 1000;
> glob_max_minutes := 0.0;
> glob_start := 0;
> glob_max_sec := 10000.0;
> glob_dump_analytic := false;
> glob_h := 0.1;
> glob_not_yet_start_msg := true;
> glob_html_log := true;
> #Write Set Defaults
> glob_orig_start_sec := elapsed_time_seconds();
> MAX_UNCHANGED := 10;
> glob_curr_iter_when_opt := 0;
> glob_display_flag := true;
> glob_no_eqs := 2;
> glob_iter := -1;
> opt_iter := -1;
> glob_max_iter := 50000;
> glob_max_hours := 0.0;
> glob_max_minutes := 15.0;
> omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################");
> omniout_str(ALWAYS,"##############temp/mtest6postode.ode#################");
> omniout_str(ALWAYS,"diff (x1,t,1) = 4.0 * x2 - 2.0 * diff (x2,t ,1) - 2.0 * x1;");
> omniout_str(ALWAYS,"diff (x2,t,2) = 3.0 * diff(x2,t,1) - 2.0 * x2 - diff(x1,t,2) - diff (x1,t,1) + x1;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"Digits := 32;");
> omniout_str(ALWAYS,"max_terms:=30;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#END FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"#");
> omniout_str(ALWAYS,"# was complicated.ode");
> omniout_str(ALWAYS,"#");
> omniout_str(ALWAYS,"t_start := 0.5;");
> omniout_str(ALWAYS,"t_end := 5.0;");
> omniout_str(ALWAYS,"array_x1_init[0 + 1] := exact_soln_x1(t_start);");
> omniout_str(ALWAYS,"array_x1_init[1 + 1] := exact_soln_x1p(t_start);");
> omniout_str(ALWAYS,"array_x2_init[0 + 1] := exact_soln_x2(t_start);");
> omniout_str(ALWAYS,"array_x2_init[1 + 1] := exact_soln_x2p(t_start);");
> omniout_str(ALWAYS,"glob_h := 0.00001 ;");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 10;");
> omniout_str(ALWAYS,"#END SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK");
> omniout_str(ALWAYS,"glob_h := 0.0001 ;");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 1000;");
> omniout_str(ALWAYS,"glob_max_minutes := 15;");
> omniout_str(ALWAYS,"#END OVERRIDE BLOCK");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK");
> omniout_str(ALWAYS,"exact_soln_x1 := proc(t)");
> omniout_str(ALWAYS,"local c1,c2,c3;");
> omniout_str(ALWAYS,"c1 := 1.0;");
> omniout_str(ALWAYS,"c2 := 0.0002;");
> omniout_str(ALWAYS,"c3 := 0.0003;");
> omniout_str(ALWAYS,"2.0 * c1 + 6.0 * c3 * exp(-t);");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"exact_soln_x1p := proc(t)");
> omniout_str(ALWAYS,"local c1,c2,c3;");
> omniout_str(ALWAYS,"c1 := 1.0;");
> omniout_str(ALWAYS,"c2 := 0.0002;");
> omniout_str(ALWAYS,"c3 := 0.0003;");
> omniout_str(ALWAYS,"- 6.0 * c3 * exp(-t);");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"exact_soln_x2 := proc(t)");
> omniout_str(ALWAYS,"local c1,c2,c3;");
> omniout_str(ALWAYS,"c1 := 1.0;");
> omniout_str(ALWAYS,"c2 := 0.0002;");
> omniout_str(ALWAYS,"c3 := 0.0003;");
> omniout_str(ALWAYS,"c1 + c2 * exp(2.0 * t) + c3 * exp(-t);");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"exact_soln_x2p := proc(t)");
> omniout_str(ALWAYS,"local c1,c2,c3;");
> omniout_str(ALWAYS,"c1 := 1.0;");
> omniout_str(ALWAYS,"c2 := 0.0002;");
> omniout_str(ALWAYS,"c3 := 0.0003;");
> omniout_str(ALWAYS,"2.0 * c2 * exp(2.0 * t) - c3 * exp(-t);");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"#END USER DEF BLOCK");
> omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################");
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_small_float := 1.0e-200;
> glob_smallish_float := 1.0e-64;
> glob_large_float := 1.0e100;
> glob_almost_1 := 0.99;
> glob_log10_abserr := -8.0;
> glob_log10_relerr := -8.0;
> glob_hmax := 0.01;
> #BEGIN FIRST INPUT BLOCK
> #BEGIN FIRST INPUT BLOCK
> Digits := 32;
> max_terms:=30;
> #END FIRST INPUT BLOCK
> #START OF INITS AFTER INPUT BLOCK
> glob_max_terms := max_terms;
> glob_html_log := true;
> #END OF INITS AFTER INPUT BLOCK
> array_1st_rel_error:= Array(1..(max_terms + 1),[]);
> array_x1_init:= Array(1..(max_terms + 1),[]);
> array_last_rel_error:= Array(1..(max_terms + 1),[]);
> array_norms:= Array(1..(max_terms + 1),[]);
> array_m1:= Array(1..(max_terms + 1),[]);
> array_x1:= Array(1..(max_terms + 1),[]);
> array_t:= Array(1..(max_terms + 1),[]);
> array_x2:= Array(1..(max_terms + 1),[]);
> array_tmp10:= Array(1..(max_terms + 1),[]);
> array_tmp11:= Array(1..(max_terms + 1),[]);
> array_tmp12:= Array(1..(max_terms + 1),[]);
> array_tmp13:= Array(1..(max_terms + 1),[]);
> array_tmp14:= Array(1..(max_terms + 1),[]);
> array_tmp15:= Array(1..(max_terms + 1),[]);
> array_tmp16:= Array(1..(max_terms + 1),[]);
> array_tmp17:= Array(1..(max_terms + 1),[]);
> array_pole:= Array(1..(max_terms + 1),[]);
> array_x2_init:= Array(1..(max_terms + 1),[]);
> array_type_pole:= Array(1..(max_terms + 1),[]);
> array_tmp0:= Array(1..(max_terms + 1),[]);
> array_tmp1:= Array(1..(max_terms + 1),[]);
> array_tmp2:= Array(1..(max_terms + 1),[]);
> array_tmp3:= Array(1..(max_terms + 1),[]);
> array_tmp4:= Array(1..(max_terms + 1),[]);
> array_tmp5:= Array(1..(max_terms + 1),[]);
> array_tmp6:= Array(1..(max_terms + 1),[]);
> array_tmp7:= Array(1..(max_terms + 1),[]);
> array_tmp8:= Array(1..(max_terms + 1),[]);
> array_tmp9:= Array(1..(max_terms + 1),[]);
> array_x2_higher := Array(1..(3+ 1) ,(1..max_terms+ 1),[]);
> array_x2_higher_work2 := Array(1..(3+ 1) ,(1..max_terms+ 1),[]);
> array_poles := Array(1..(2+ 1) ,(1..3+ 1),[]);
> array_x2_set_initial := Array(1..(3+ 1) ,(1..max_terms+ 1),[]);
> array_complex_pole := Array(1..(2+ 1) ,(1..3+ 1),[]);
> array_real_pole := Array(1..(2+ 1) ,(1..3+ 1),[]);
> array_x1_set_initial := Array(1..(3+ 1) ,(1..max_terms+ 1),[]);
> array_x1_higher_work := Array(1..(3+ 1) ,(1..max_terms+ 1),[]);
> array_x2_higher_work := Array(1..(3+ 1) ,(1..max_terms+ 1),[]);
> array_x1_higher_work2 := Array(1..(3+ 1) ,(1..max_terms+ 1),[]);
> array_x1_higher := Array(1..(3+ 1) ,(1..max_terms+ 1),[]);
> term := 1;
> while term <= max_terms do # do number 2
> array_1st_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_x1_init[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_last_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_norms[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_x1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_t[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_x2[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp10[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp11[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp12[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp13[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp14[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp15[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp16[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp17[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_x2_init[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_type_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp5[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp6[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp7[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp8[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp9[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=3 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_x2_higher[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=3 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_x2_higher_work2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=2 do # do number 2
> term := 1;
> while term <= 3 do # do number 3
> array_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=3 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_x2_set_initial[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=2 do # do number 2
> term := 1;
> while term <= 3 do # do number 3
> array_complex_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=2 do # do number 2
> term := 1;
> while term <= 3 do # do number 3
> array_real_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=3 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_x1_set_initial[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=3 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_x1_higher_work[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=3 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_x2_higher_work[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=3 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_x1_higher_work2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=3 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_x1_higher[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> #BEGIN ARRAYS DEFINED AND INITIALIZATED
> array_tmp17 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp17[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp16 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp16[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp15 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp15[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp14 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp14[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp13 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp13[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp12 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp12[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp11 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp11[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp10 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp10[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_x2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_x2[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_t := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_t[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_x1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_x1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp9 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp9[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp8 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp8[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp7 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp7[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp6 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp6[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp5 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp5[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp4 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp3 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_const_2D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_const_2D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_const_2D0[1] := 2.0;
> array_const_3D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_const_3D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_const_3D0[1] := 3.0;
> array_const_0D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_const_0D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_const_0D0[1] := 0.0;
> array_const_4D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_const_4D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_const_4D0[1] := 4.0;
> array_const_2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_const_2[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_const_2[1] := 2;
> array_const_1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_const_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_const_1[1] := 1;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_m1[1] := -1.0;
> #END ARRAYS DEFINED AND INITIALIZATED
> #TOP SECOND INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> #END FIRST INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> #
> # was complicated.ode
> #
> t_start := 0.5;
> t_end := 5.0;
> array_x1_init[0 + 1] := exact_soln_x1(t_start);
> array_x1_init[1 + 1] := exact_soln_x1p(t_start);
> array_x2_init[0 + 1] := exact_soln_x2(t_start);
> array_x2_init[1 + 1] := exact_soln_x2p(t_start);
> glob_h := 0.00001 ;
> glob_look_poles := true;
> glob_max_iter := 10;
> #END SECOND INPUT BLOCK
> #BEGIN OVERRIDE BLOCK
> glob_h := 0.0001 ;
> glob_look_poles := true;
> glob_max_iter := 1000;
> glob_max_minutes := 15;
> #END OVERRIDE BLOCK
> #END SECOND INPUT BLOCK
> #BEGIN INITS AFTER SECOND INPUT BLOCK
> glob_last_good_h := glob_h;
> glob_max_terms := max_terms;
> glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours);
> glob_abserr := 10.0 ^ (glob_log10_abserr);
> glob_relerr := 10.0 ^ (glob_log10_relerr);
> chk_data();
> #AFTER INITS AFTER SECOND INPUT BLOCK
> array_x1_set_initial[1,1] := true;
> array_x1_set_initial[1,2] := true;
> array_x1_set_initial[1,3] := false;
> array_x1_set_initial[1,4] := false;
> array_x1_set_initial[1,5] := false;
> array_x1_set_initial[1,6] := false;
> array_x1_set_initial[1,7] := false;
> array_x1_set_initial[1,8] := false;
> array_x1_set_initial[1,9] := false;
> array_x1_set_initial[1,10] := false;
> array_x1_set_initial[1,11] := false;
> array_x1_set_initial[1,12] := false;
> array_x1_set_initial[1,13] := false;
> array_x1_set_initial[1,14] := false;
> array_x1_set_initial[1,15] := false;
> array_x1_set_initial[1,16] := false;
> array_x1_set_initial[1,17] := false;
> array_x1_set_initial[1,18] := false;
> array_x1_set_initial[1,19] := false;
> array_x1_set_initial[1,20] := false;
> array_x1_set_initial[1,21] := false;
> array_x1_set_initial[1,22] := false;
> array_x1_set_initial[1,23] := false;
> array_x1_set_initial[1,24] := false;
> array_x1_set_initial[1,25] := false;
> array_x1_set_initial[1,26] := false;
> array_x1_set_initial[1,27] := false;
> array_x1_set_initial[1,28] := false;
> array_x1_set_initial[1,29] := false;
> array_x1_set_initial[1,30] := false;
> array_x2_set_initial[2,1] := true;
> array_x2_set_initial[2,2] := true;
> array_x2_set_initial[2,3] := false;
> array_x2_set_initial[2,4] := false;
> array_x2_set_initial[2,5] := false;
> array_x2_set_initial[2,6] := false;
> array_x2_set_initial[2,7] := false;
> array_x2_set_initial[2,8] := false;
> array_x2_set_initial[2,9] := false;
> array_x2_set_initial[2,10] := false;
> array_x2_set_initial[2,11] := false;
> array_x2_set_initial[2,12] := false;
> array_x2_set_initial[2,13] := false;
> array_x2_set_initial[2,14] := false;
> array_x2_set_initial[2,15] := false;
> array_x2_set_initial[2,16] := false;
> array_x2_set_initial[2,17] := false;
> array_x2_set_initial[2,18] := false;
> array_x2_set_initial[2,19] := false;
> array_x2_set_initial[2,20] := false;
> array_x2_set_initial[2,21] := false;
> array_x2_set_initial[2,22] := false;
> array_x2_set_initial[2,23] := false;
> array_x2_set_initial[2,24] := false;
> array_x2_set_initial[2,25] := false;
> array_x2_set_initial[2,26] := false;
> array_x2_set_initial[2,27] := false;
> array_x2_set_initial[2,28] := false;
> array_x2_set_initial[2,29] := false;
> array_x2_set_initial[2,30] := false;
> if glob_html_log then # if number 3
> html_log_file := fopen("html/entry.html",WRITE,TEXT);
> fi;# end if 3
> ;
> #BEGIN SOLUTION CODE
> omniout_str(ALWAYS,"START of Soultion");
> #Start Series -- INITIALIZE FOR SOLUTION
> array_t[1] := t_start;
> array_t[2] := glob_h;
> order_diff := 2;
> #Start Series array_x1
> term_no := 1;
> while (term_no <= order_diff) do # do number 2
> array_x1[term_no] := array_x1_init[term_no] * glob_h ^ (term_no - 1) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 2
> ;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 2
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 3
> it := term_no + r_order - 1;
> array_x1_higher[r_order,term_no] := array_x1_init[it]* (glob_h ^ (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 3
> ;
> r_order := r_order + 1;
> od;# end do number 2
> ;
> order_diff := 2;
> #Start Series array_x2
> term_no := 1;
> while (term_no <= order_diff) do # do number 2
> array_x2[term_no] := array_x2_init[term_no] * glob_h ^ (term_no - 1) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 2
> ;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 2
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 3
> it := term_no + r_order - 1;
> array_x2_higher[r_order,term_no] := array_x2_init[it]* (glob_h ^ (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 3
> ;
> r_order := r_order + 1;
> od;# end do number 2
> ;
> current_iter := 1;
> glob_clock_start_sec := elapsed_time_seconds();
> start_array_x1();
> if (abs(array_x1_higher[1,1]) > glob_small_float) then # if number 3
> tmp := abs(array_x1_higher[1,1]);
> log10norm := (log10(tmp));
> if (log10norm < glob_log10normmin) then # if number 4
> glob_log10normmin := log10norm;
> fi;# end if 4
> fi;# end if 3
> ;
> display_alot(current_iter)
> ;
> start_array_x2();
> if (abs(array_x2_higher[1,1]) > glob_small_float) then # if number 3
> tmp := abs(array_x2_higher[1,1]);
> log10norm := (log10(tmp));
> if (log10norm < glob_log10normmin) then # if number 4
> glob_log10normmin := log10norm;
> fi;# end if 4
> fi;# end if 3
> ;
> display_alot(current_iter)
> ;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := 0;
> glob_iter := 0;
> omniout_str(DEBUGL," ");
> glob_reached_optimal_h := true;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> while ((glob_current_iter < glob_max_iter) and (array_t[1] <= t_end ) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2
> #left paren 0001C
> omniout_str(INFO," ");
> omniout_str(INFO,"TOP MAIN SOLVE Loop");
> glob_iter := glob_iter + 1;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := glob_current_iter + 1;
> if glob_subiter_method = 1 then # if number 3
> atomall();
> elif glob_subiter_method = 2 then # if number 4
> subiter := 1;
> while subiter <= 3 do # do number 3
> atomall();
> subiter := subiter + 1;
> od;# end do number 3
> ;
> else
> subiter := 1;
> while subiter <= 3 + glob_max_terms do # do number 3
> atomall();
> subiter := subiter + 1;
> od;# end do number 3
> ;
> fi;# end if 4
> ;
> if (glob_look_poles) then # if number 4
> #left paren 0004C
> check_for_pole();
> fi;# end if 4
> ;#was right paren 0004C
> array_t[1] := array_t[1] + glob_h;
> array_t[2] := glob_h;
> #Jump Series array_x1
> order_diff := 2;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =1
> #sum_and_adjust array_x1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 3;
> calc_term := 1;
> #adjust_subseriesarray_x1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_x1_higher_work[3,iii] := array_x1_higher[3,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 3;
> calc_term := 1;
> #sum_subseriesarray_x1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_x1_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_x1_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 2;
> calc_term := 2;
> #adjust_subseriesarray_x1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_x1_higher_work[2,iii] := array_x1_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 2;
> calc_term := 2;
> #sum_subseriesarray_x1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_x1_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_x1_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 2;
> calc_term := 1;
> #adjust_subseriesarray_x1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_x1_higher_work[2,iii] := array_x1_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 2;
> calc_term := 1;
> #sum_subseriesarray_x1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_x1_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_x1_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 3;
> #adjust_subseriesarray_x1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_x1_higher_work[1,iii] := array_x1_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 3;
> #sum_subseriesarray_x1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_x1_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_x1_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 2;
> #adjust_subseriesarray_x1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_x1_higher_work[1,iii] := array_x1_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 2;
> #sum_subseriesarray_x1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_x1_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_x1_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 1;
> #adjust_subseriesarray_x1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_x1_higher_work[1,iii] := array_x1_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 1;
> #sum_subseriesarray_x1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_x1_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_x1_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #END SUM AND ADJUST EQ =1
> #END PART 1
> #START PART 2 MOVE TERMS to REGULAR Array
> term_no := glob_max_terms;
> while (term_no >= 1) do # do number 3
> array_x1[term_no] := array_x1_higher_work2[1,term_no];
> ord := 1;
> while ord <= order_diff do # do number 4
> array_x1_higher[ord,term_no] := array_x1_higher_work2[ord,term_no];
> ord := ord + 1;
> od;# end do number 4
> ;
> term_no := term_no - 1;
> od;# end do number 3
> ;
> #END PART 2 HEVE MOVED TERMS to REGULAR Array
> #Jump Series array_x2
> order_diff := 2;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =2
> #sum_and_adjust array_x2
> #BEFORE ADJUST SUBSERIES EQ =2
> ord := 3;
> calc_term := 1;
> #adjust_subseriesarray_x2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_x2_higher_work[3,iii] := array_x2_higher[3,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =2
> #BEFORE SUM SUBSERIES EQ =2
> temp_sum := 0.0;
> ord := 3;
> calc_term := 1;
> #sum_subseriesarray_x2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_x2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_x2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =2
> #BEFORE ADJUST SUBSERIES EQ =2
> ord := 2;
> calc_term := 2;
> #adjust_subseriesarray_x2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_x2_higher_work[2,iii] := array_x2_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =2
> #BEFORE SUM SUBSERIES EQ =2
> temp_sum := 0.0;
> ord := 2;
> calc_term := 2;
> #sum_subseriesarray_x2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_x2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_x2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =2
> #BEFORE ADJUST SUBSERIES EQ =2
> ord := 2;
> calc_term := 1;
> #adjust_subseriesarray_x2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_x2_higher_work[2,iii] := array_x2_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =2
> #BEFORE SUM SUBSERIES EQ =2
> temp_sum := 0.0;
> ord := 2;
> calc_term := 1;
> #sum_subseriesarray_x2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_x2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_x2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =2
> #BEFORE ADJUST SUBSERIES EQ =2
> ord := 1;
> calc_term := 3;
> #adjust_subseriesarray_x2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_x2_higher_work[1,iii] := array_x2_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =2
> #BEFORE SUM SUBSERIES EQ =2
> temp_sum := 0.0;
> ord := 1;
> calc_term := 3;
> #sum_subseriesarray_x2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_x2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_x2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =2
> #BEFORE ADJUST SUBSERIES EQ =2
> ord := 1;
> calc_term := 2;
> #adjust_subseriesarray_x2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_x2_higher_work[1,iii] := array_x2_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =2
> #BEFORE SUM SUBSERIES EQ =2
> temp_sum := 0.0;
> ord := 1;
> calc_term := 2;
> #sum_subseriesarray_x2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_x2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_x2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =2
> #BEFORE ADJUST SUBSERIES EQ =2
> ord := 1;
> calc_term := 1;
> #adjust_subseriesarray_x2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_x2_higher_work[1,iii] := array_x2_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =2
> #BEFORE SUM SUBSERIES EQ =2
> temp_sum := 0.0;
> ord := 1;
> calc_term := 1;
> #sum_subseriesarray_x2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_x2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_x2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =2
> #END SUM AND ADJUST EQ =2
> #END PART 1
> #START PART 2 MOVE TERMS to REGULAR Array
> term_no := glob_max_terms;
> while (term_no >= 1) do # do number 3
> array_x2[term_no] := array_x2_higher_work2[1,term_no];
> ord := 1;
> while ord <= order_diff do # do number 4
> array_x2_higher[ord,term_no] := array_x2_higher_work2[ord,term_no];
> ord := ord + 1;
> od;# end do number 4
> ;
> term_no := term_no - 1;
> od;# end do number 3
> ;
> #END PART 2 HEVE MOVED TERMS to REGULAR Array
> display_alot(current_iter)
> ;
> od;# end do number 2
> ;#right paren 0001C
> omniout_str(ALWAYS,"Finished!");
> if (glob_iter >= glob_max_iter) then # if number 4
> omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!")
> fi;# end if 4
> ;
> if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 4
> omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!")
> fi;# end if 4
> ;
> glob_clock_sec := elapsed_time_seconds();
> omniout_str(INFO,"diff (x1,t,1) = 4.0 * x2 - 2.0 * diff (x2,t ,1) - 2.0 * x1;");
> omniout_str(INFO,"diff (x2,t,2) = 3.0 * diff(x2,t,1) - 2.0 * x2 - diff(x1,t,2) - diff (x1,t,1) + x1;");
> omniout_int(INFO,"Iterations ",32,glob_iter,4," ")
> ;
> prog_report(t_start,t_end);
> if glob_html_log then # if number 4
> logstart(html_log_file);
> logitem_str(html_log_file,"2012-06-13T15:43:09-05:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"mtest6")
> ;
> logitem_str(html_log_file,"diff (x1,t,1) = 4.0 * x2 - 2.0 * diff (x2,t ,1) - 2.0 * x1;")
> ;
> logitem_float(html_log_file,t_start)
> ;
> logitem_float(html_log_file,t_end)
> ;
> logitem_float(html_log_file,array_t[1])
> ;
> logitem_float(html_log_file,glob_h)
> ;
> logitem_integer(html_log_file,Digits)
> ;
> ;
> logitem_integer(html_log_file,glob_max_terms)
> ;
> logitem_float(html_log_file,array_1st_rel_error[1])
> ;
> logitem_float(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_iter)
> ;
> logitem_pole(html_log_file,array_type_pole[1])
> ;
> if array_type_pole[1] = 1 or array_type_pole[1] = 2 then # if number 5
> logitem_float(html_log_file,array_pole[1])
> ;
> logitem_float(html_log_file,array_pole[2])
> ;
> 0;
> else
> logitem_str(html_log_file,"NA")
> ;
> logitem_str(html_log_file,"NA")
> ;
> 0;
> fi;# end if 5
> ;
> logitem_time(html_log_file,convfloat(glob_clock_sec))
> ;
> if glob_percent_done < 100.0 then # if number 5
> logitem_time(html_log_file,convfloat(glob_optimal_expect_sec))
> ;
> 0
> else
> logitem_str(html_log_file,"Done")
> ;
> 0
> fi;# end if 5
> ;
> log_revs(html_log_file," 090 | ")
> ;
> logitem_str(html_log_file,"mtest6 diffeq.mxt")
> ;
> logitem_str(html_log_file,"mtest6 maple results")
> ;
> logitem_str(html_log_file,"Test of revised logic - mostly affecting systems of eqs")
> ;
> logend(html_log_file)
> ;
> logditto(html_log_file)
> ;
> logditto(html_log_file)
> ;
> logditto(html_log_file)
> ;
> logitem_str(html_log_file,"diff (x2,t,2) = 3.0 * diff(x2,t,1) - 2.0 * x2 - diff(x1,t,2) - diff (x1,t,1) + x1;")
> ;
> logditto(html_log_file)
> ;
> logditto(html_log_file)
> ;
> logditto(html_log_file)
> ;
> logditto(html_log_file)
> ;
> logditto(html_log_file)
> ;
> ;
> logditto(html_log_file)
> ;
> logitem_float(html_log_file,array_1st_rel_error[2])
> ;
> logitem_float(html_log_file,array_last_rel_error[2])
> ;
> logditto(html_log_file)
> ;
> logitem_pole(html_log_file,array_type_pole[2])
> ;
> if array_type_pole[2] = 1 or array_type_pole[2] = 2 then # if number 5
> logitem_float(html_log_file,array_pole[1])
> ;
> logitem_float(html_log_file,array_pole[2])
> ;
> 0;
> else
> logitem_str(html_log_file,"NA")
> ;
> logitem_str(html_log_file,"NA")
> ;
> 0;
> fi;# end if 5
> ;
> logditto(html_log_file)
> ;
> if glob_percent_done < 100.0 then # if number 5
> logditto(html_log_file)
> ;
> 0
> else
> logditto(html_log_file)
> ;
> 0
> fi;# end if 5
> ;
> logditto(html_log_file);
> ;
> logditto(html_log_file)
> ;
> logditto(html_log_file)
> ;
> logditto(html_log_file)
> ;
> logend(html_log_file)
> ;
> ;
> fi;# end if 4
> ;
> if glob_html_log then # if number 4
> fclose(html_log_file);
> fi;# end if 4
> ;
> ;;
> #END OUTFILEMAIN
> # End Function number 8
> end;
Warning, `subiter` is implicitly declared local to procedure `mainprog`
mainprog := proc()
local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff,
term_no, html_log_file, rows, r_order, sub_iter, calc_term, iii, temp_sum,
current_iter, t_start, t_end, it, log10norm, max_terms, opt_iter, tmp,
subiter;
global ALWAYS, INFO, DEBUGMASSIVE, DEBUGL, glob_max_terms, glob_iolevel,
glob_unchanged_h_cnt, glob_smallish_float, centuries_in_millinium,
hours_in_day, djd_debug, glob_log10relerr, glob_normmax, glob_current_iter,
glob_curr_iter_when_opt, glob_hmin_init, glob_optimal_done,
years_in_century, sec_in_min, glob_iter, glob_max_trunc_err,
glob_initial_pass, glob_clock_start_sec, glob_almost_1, glob_percent_done,
glob_small_float, glob_dump, glob_subiter_method, MAX_UNCHANGED,
glob_optimal_start, glob_hmin, glob_not_yet_finished, days_in_year,
glob_max_opt_iter, glob_orig_start_sec, glob_optimal_clock_start_sec,
glob_log10_relerr, glob_log10_abserr, djd_debug2, glob_no_eqs,
glob_max_rel_trunc_err, glob_max_hours, glob_relerr, glob_last_good_h,
glob_large_float, glob_hmax, glob_reached_optimal_h, glob_look_poles,
glob_disp_incr, glob_display_flag, glob_warned2, glob_warned, glob_abserr,
glob_clock_sec, min_in_hour, glob_optimal_expect_sec, glob_log10normmin,
glob_log10abserr, glob_max_iter, glob_max_minutes, glob_start, glob_max_sec,
glob_dump_analytic, glob_h, glob_not_yet_start_msg, glob_html_log,
array_const_2D0, array_const_3D0, array_const_0D0, array_const_4D0,
array_const_2, array_const_1, array_1st_rel_error, array_x1_init,
array_last_rel_error, array_norms, array_m1, array_x1, array_t, array_x2,
array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14,
array_tmp15, array_tmp16, array_tmp17, array_pole, array_x2_init,
array_type_pole, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4,
array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_x2_higher,
array_x2_higher_work2, array_poles, array_x2_set_initial,
array_complex_pole, array_real_pole, array_x1_set_initial,
array_x1_higher_work, array_x2_higher_work, array_x1_higher_work2,
array_x1_higher, glob_last;
glob_last;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
glob_iolevel := INFO;
ALWAYS := 1;
INFO := 2;
DEBUGMASSIVE := 4;
DEBUGL := 3;
glob_max_terms := 30;
glob_iolevel := 5;
glob_unchanged_h_cnt := 0;
glob_smallish_float := 0.1*10^(-100);
centuries_in_millinium := 10.0;
hours_in_day := 24.0;
djd_debug := true;
glob_log10relerr := 0.;
glob_normmax := 0.;
glob_current_iter := 0;
glob_curr_iter_when_opt := 0;
glob_hmin_init := 0.001;
glob_optimal_done := false;
years_in_century := 100.0;
sec_in_min := 60.0;
glob_iter := 0;
glob_max_trunc_err := 0.1*10^(-10);
glob_initial_pass := true;
glob_clock_start_sec := 0.;
glob_almost_1 := 0.9990;
glob_percent_done := 0.;
glob_small_float := 0.1*10^(-50);
glob_dump := false;
glob_subiter_method := 3;
MAX_UNCHANGED := 10;
glob_optimal_start := 0.;
glob_hmin := 0.1*10^(-10);
glob_not_yet_finished := true;
days_in_year := 365.0;
glob_max_opt_iter := 10;
glob_orig_start_sec := 0.;
glob_optimal_clock_start_sec := 0.;
glob_log10_relerr := 0.1*10^(-10);
glob_log10_abserr := 0.1*10^(-10);
djd_debug2 := true;
glob_no_eqs := 0;
glob_max_rel_trunc_err := 0.1*10^(-10);
glob_max_hours := 0.;
glob_relerr := 0.1*10^(-10);
glob_last_good_h := 0.1;
glob_large_float := 0.90*10^101;
glob_hmax := 1.0;
glob_reached_optimal_h := false;
glob_look_poles := false;
glob_disp_incr := 0.1;
glob_display_flag := true;
glob_warned2 := false;
glob_warned := false;
glob_abserr := 0.1*10^(-10);
glob_clock_sec := 0.;
min_in_hour := 60.0;
glob_optimal_expect_sec := 0.1;
glob_log10normmin := 0.1;
glob_log10abserr := 0.;
glob_max_iter := 1000;
glob_max_minutes := 0.;
glob_start := 0;
glob_max_sec := 10000.0;
glob_dump_analytic := false;
glob_h := 0.1;
glob_not_yet_start_msg := true;
glob_html_log := true;
glob_orig_start_sec := elapsed_time_seconds();
MAX_UNCHANGED := 10;
glob_curr_iter_when_opt := 0;
glob_display_flag := true;
glob_no_eqs := 2;
glob_iter := -1;
opt_iter := -1;
glob_max_iter := 50000;
glob_max_hours := 0.;
glob_max_minutes := 15.0;
omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################");
omniout_str(ALWAYS,
"##############temp/mtest6postode.ode#################");
omniout_str(ALWAYS,
"diff (x1,t,1) = 4.0 * x2 - 2.0 * diff (x2,t ,1) - 2.0 * x1;");
omniout_str(ALWAYS, "diff (x2,t,2) = 3.0 * diff(x2,t,1) - 2.0 * x2 - \
diff(x1,t,2) - diff (x1,t,1) + x1;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK");
omniout_str(ALWAYS, "Digits := 32;");
omniout_str(ALWAYS, "max_terms:=30;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#END FIRST INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK");
omniout_str(ALWAYS, "#");
omniout_str(ALWAYS, "# was complicated.ode");
omniout_str(ALWAYS, "#");
omniout_str(ALWAYS, "t_start := 0.5;");
omniout_str(ALWAYS, "t_end := 5.0;");
omniout_str(ALWAYS, "array_x1_init[0 + 1] := exact_soln_x1(t_start);");
omniout_str(ALWAYS, "array_x1_init[1 + 1] := exact_soln_x1p(t_start);")
;
omniout_str(ALWAYS, "array_x2_init[0 + 1] := exact_soln_x2(t_start);");
omniout_str(ALWAYS, "array_x2_init[1 + 1] := exact_soln_x2p(t_start);")
;
omniout_str(ALWAYS, "glob_h := 0.00001 ;");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 10;");
omniout_str(ALWAYS, "#END SECOND INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK");
omniout_str(ALWAYS, "glob_h := 0.0001 ;");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 1000;");
omniout_str(ALWAYS, "glob_max_minutes := 15;");
omniout_str(ALWAYS, "#END OVERRIDE BLOCK");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK");
omniout_str(ALWAYS, "exact_soln_x1 := proc(t)");
omniout_str(ALWAYS, "local c1,c2,c3;");
omniout_str(ALWAYS, "c1 := 1.0;");
omniout_str(ALWAYS, "c2 := 0.0002;");
omniout_str(ALWAYS, "c3 := 0.0003;");
omniout_str(ALWAYS, "2.0 * c1 + 6.0 * c3 * exp(-t);");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "exact_soln_x1p := proc(t)");
omniout_str(ALWAYS, "local c1,c2,c3;");
omniout_str(ALWAYS, "c1 := 1.0;");
omniout_str(ALWAYS, "c2 := 0.0002;");
omniout_str(ALWAYS, "c3 := 0.0003;");
omniout_str(ALWAYS, "- 6.0 * c3 * exp(-t);");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "exact_soln_x2 := proc(t)");
omniout_str(ALWAYS, "local c1,c2,c3;");
omniout_str(ALWAYS, "c1 := 1.0;");
omniout_str(ALWAYS, "c2 := 0.0002;");
omniout_str(ALWAYS, "c3 := 0.0003;");
omniout_str(ALWAYS, "c1 + c2 * exp(2.0 * t) + c3 * exp(-t);");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "exact_soln_x2p := proc(t)");
omniout_str(ALWAYS, "local c1,c2,c3;");
omniout_str(ALWAYS, "c1 := 1.0;");
omniout_str(ALWAYS, "c2 := 0.0002;");
omniout_str(ALWAYS, "c3 := 0.0003;");
omniout_str(ALWAYS, "2.0 * c2 * exp(2.0 * t) - c3 * exp(-t);");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "#END USER DEF BLOCK");
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################");
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_small_float := 0.10*10^(-199);
glob_smallish_float := 0.10*10^(-63);
glob_large_float := 0.10*10^101;
glob_almost_1 := 0.99;
glob_log10_abserr := -8.0;
glob_log10_relerr := -8.0;
glob_hmax := 0.01;
Digits := 32;
max_terms := 30;
glob_max_terms := max_terms;
glob_html_log := true;
array_1st_rel_error := Array(1 .. max_terms + 1, []);
array_x1_init := Array(1 .. max_terms + 1, []);
array_last_rel_error := Array(1 .. max_terms + 1, []);
array_norms := Array(1 .. max_terms + 1, []);
array_m1 := Array(1 .. max_terms + 1, []);
array_x1 := Array(1 .. max_terms + 1, []);
array_t := Array(1 .. max_terms + 1, []);
array_x2 := Array(1 .. max_terms + 1, []);
array_tmp10 := Array(1 .. max_terms + 1, []);
array_tmp11 := Array(1 .. max_terms + 1, []);
array_tmp12 := Array(1 .. max_terms + 1, []);
array_tmp13 := Array(1 .. max_terms + 1, []);
array_tmp14 := Array(1 .. max_terms + 1, []);
array_tmp15 := Array(1 .. max_terms + 1, []);
array_tmp16 := Array(1 .. max_terms + 1, []);
array_tmp17 := Array(1 .. max_terms + 1, []);
array_pole := Array(1 .. max_terms + 1, []);
array_x2_init := Array(1 .. max_terms + 1, []);
array_type_pole := Array(1 .. max_terms + 1, []);
array_tmp0 := Array(1 .. max_terms + 1, []);
array_tmp1 := Array(1 .. max_terms + 1, []);
array_tmp2 := Array(1 .. max_terms + 1, []);
array_tmp3 := Array(1 .. max_terms + 1, []);
array_tmp4 := Array(1 .. max_terms + 1, []);
array_tmp5 := Array(1 .. max_terms + 1, []);
array_tmp6 := Array(1 .. max_terms + 1, []);
array_tmp7 := Array(1 .. max_terms + 1, []);
array_tmp8 := Array(1 .. max_terms + 1, []);
array_tmp9 := Array(1 .. max_terms + 1, []);
array_x2_higher := Array(1 .. 4, 1 .. max_terms + 1, []);
array_x2_higher_work2 := Array(1 .. 4, 1 .. max_terms + 1, []);
array_poles := Array(1 .. 3, 1 .. 4, []);
array_x2_set_initial := Array(1 .. 4, 1 .. max_terms + 1, []);
array_complex_pole := Array(1 .. 3, 1 .. 4, []);
array_real_pole := Array(1 .. 3, 1 .. 4, []);
array_x1_set_initial := Array(1 .. 4, 1 .. max_terms + 1, []);
array_x1_higher_work := Array(1 .. 4, 1 .. max_terms + 1, []);
array_x2_higher_work := Array(1 .. 4, 1 .. max_terms + 1, []);
array_x1_higher_work2 := Array(1 .. 4, 1 .. max_terms + 1, []);
array_x1_higher := Array(1 .. 4, 1 .. max_terms + 1, []);
term := 1;
while term <= max_terms do
array_1st_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_x1_init[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_last_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_norms[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_x1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_t[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_x2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp10[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp11[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp12[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp13[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp14[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp15[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp16[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp17[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_x2_init[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_type_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp0[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp5[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp6[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp7[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp8[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp9[term] := 0.; term := term + 1
end do;
ord := 1;
while ord <= 3 do
term := 1;
while term <= max_terms do
array_x2_higher[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 3 do
term := 1;
while term <= max_terms do
array_x2_higher_work2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= 3 do array_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 3 do
term := 1;
while term <= max_terms do
array_x2_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= 3 do
array_complex_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= 3 do
array_real_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 3 do
term := 1;
while term <= max_terms do
array_x1_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 3 do
term := 1;
while term <= max_terms do
array_x1_higher_work[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 3 do
term := 1;
while term <= max_terms do
array_x2_higher_work[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 3 do
term := 1;
while term <= max_terms do
array_x1_higher_work2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 3 do
term := 1;
while term <= max_terms do
array_x1_higher[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
array_tmp17 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp17[term] := 0.; term := term + 1
end do;
array_tmp16 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp16[term] := 0.; term := term + 1
end do;
array_tmp15 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp15[term] := 0.; term := term + 1
end do;
array_tmp14 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp14[term] := 0.; term := term + 1
end do;
array_tmp13 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp13[term] := 0.; term := term + 1
end do;
array_tmp12 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp12[term] := 0.; term := term + 1
end do;
array_tmp11 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp11[term] := 0.; term := term + 1
end do;
array_tmp10 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp10[term] := 0.; term := term + 1
end do;
array_x2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_x2[term] := 0.; term := term + 1
end do;
array_t := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_t[term] := 0.; term := term + 1
end do;
array_x1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_x1[term] := 0.; term := term + 1
end do;
array_tmp9 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp9[term] := 0.; term := term + 1
end do;
array_tmp8 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp8[term] := 0.; term := term + 1
end do;
array_tmp7 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp7[term] := 0.; term := term + 1
end do;
array_tmp6 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp6[term] := 0.; term := term + 1
end do;
array_tmp5 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp5[term] := 0.; term := term + 1
end do;
array_tmp4 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1
end do;
array_tmp3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1
end do;
array_tmp2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1
end do;
array_tmp1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1
end do;
array_tmp0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1
end do;
array_const_2D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_2D0[term] := 0.; term := term + 1
end do;
array_const_2D0[1] := 2.0;
array_const_3D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_3D0[term] := 0.; term := term + 1
end do;
array_const_3D0[1] := 3.0;
array_const_0D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D0[term] := 0.; term := term + 1
end do;
array_const_0D0[1] := 0.;
array_const_4D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_4D0[term] := 0.; term := term + 1
end do;
array_const_4D0[1] := 4.0;
array_const_2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_2[term] := 0.; term := term + 1
end do;
array_const_2[1] := 2;
array_const_1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1[term] := 0.; term := term + 1
end do;
array_const_1[1] := 1;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
array_m1[1] := -1.0;
t_start := 0.5;
t_end := 5.0;
array_x1_init[1] := exact_soln_x1(t_start);
array_x1_init[2] := exact_soln_x1p(t_start);
array_x2_init[1] := exact_soln_x2(t_start);
array_x2_init[2] := exact_soln_x2p(t_start);
glob_h := 0.00001;
glob_look_poles := true;
glob_max_iter := 10;
glob_h := 0.0001;
glob_look_poles := true;
glob_max_iter := 1000;
glob_max_minutes := 15;
glob_last_good_h := glob_h;
glob_max_terms := max_terms;
glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes)
+ convfloat(3600.0)*convfloat(glob_max_hours);
glob_abserr := 10.0^glob_log10_abserr;
glob_relerr := 10.0^glob_log10_relerr;
chk_data();
array_x1_set_initial[1, 1] := true;
array_x1_set_initial[1, 2] := true;
array_x1_set_initial[1, 3] := false;
array_x1_set_initial[1, 4] := false;
array_x1_set_initial[1, 5] := false;
array_x1_set_initial[1, 6] := false;
array_x1_set_initial[1, 7] := false;
array_x1_set_initial[1, 8] := false;
array_x1_set_initial[1, 9] := false;
array_x1_set_initial[1, 10] := false;
array_x1_set_initial[1, 11] := false;
array_x1_set_initial[1, 12] := false;
array_x1_set_initial[1, 13] := false;
array_x1_set_initial[1, 14] := false;
array_x1_set_initial[1, 15] := false;
array_x1_set_initial[1, 16] := false;
array_x1_set_initial[1, 17] := false;
array_x1_set_initial[1, 18] := false;
array_x1_set_initial[1, 19] := false;
array_x1_set_initial[1, 20] := false;
array_x1_set_initial[1, 21] := false;
array_x1_set_initial[1, 22] := false;
array_x1_set_initial[1, 23] := false;
array_x1_set_initial[1, 24] := false;
array_x1_set_initial[1, 25] := false;
array_x1_set_initial[1, 26] := false;
array_x1_set_initial[1, 27] := false;
array_x1_set_initial[1, 28] := false;
array_x1_set_initial[1, 29] := false;
array_x1_set_initial[1, 30] := false;
array_x2_set_initial[2, 1] := true;
array_x2_set_initial[2, 2] := true;
array_x2_set_initial[2, 3] := false;
array_x2_set_initial[2, 4] := false;
array_x2_set_initial[2, 5] := false;
array_x2_set_initial[2, 6] := false;
array_x2_set_initial[2, 7] := false;
array_x2_set_initial[2, 8] := false;
array_x2_set_initial[2, 9] := false;
array_x2_set_initial[2, 10] := false;
array_x2_set_initial[2, 11] := false;
array_x2_set_initial[2, 12] := false;
array_x2_set_initial[2, 13] := false;
array_x2_set_initial[2, 14] := false;
array_x2_set_initial[2, 15] := false;
array_x2_set_initial[2, 16] := false;
array_x2_set_initial[2, 17] := false;
array_x2_set_initial[2, 18] := false;
array_x2_set_initial[2, 19] := false;
array_x2_set_initial[2, 20] := false;
array_x2_set_initial[2, 21] := false;
array_x2_set_initial[2, 22] := false;
array_x2_set_initial[2, 23] := false;
array_x2_set_initial[2, 24] := false;
array_x2_set_initial[2, 25] := false;
array_x2_set_initial[2, 26] := false;
array_x2_set_initial[2, 27] := false;
array_x2_set_initial[2, 28] := false;
array_x2_set_initial[2, 29] := false;
array_x2_set_initial[2, 30] := false;
if glob_html_log then
html_log_file := fopen("html/entry.html", WRITE, TEXT)
end if;
omniout_str(ALWAYS, "START of Soultion");
array_t[1] := t_start;
array_t[2] := glob_h;
order_diff := 2;
term_no := 1;
while term_no <= order_diff do
array_x1[term_no] := array_x1_init[term_no]*glob_h^(term_no - 1)/
factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_x1_higher[r_order, term_no] := array_x1_init[it]*
glob_h^(term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
order_diff := 2;
term_no := 1;
while term_no <= order_diff do
array_x2[term_no] := array_x2_init[term_no]*glob_h^(term_no - 1)/
factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_x2_higher[r_order, term_no] := array_x2_init[it]*
glob_h^(term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
current_iter := 1;
glob_clock_start_sec := elapsed_time_seconds();
start_array_x1();
if glob_small_float < abs(array_x1_higher[1, 1]) then
tmp := abs(array_x1_higher[1, 1]);
log10norm := log10(tmp);
if log10norm < glob_log10normmin then
glob_log10normmin := log10norm
end if
end if;
display_alot(current_iter);
start_array_x2();
if glob_small_float < abs(array_x2_higher[1, 1]) then
tmp := abs(array_x2_higher[1, 1]);
log10norm := log10(tmp);
if log10norm < glob_log10normmin then
glob_log10normmin := log10norm
end if
end if;
display_alot(current_iter);
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := 0;
glob_iter := 0;
omniout_str(DEBUGL, " ");
glob_reached_optimal_h := true;
glob_optimal_clock_start_sec := elapsed_time_seconds();
while glob_current_iter < glob_max_iter and array_t[1] <= t_end and
convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
convfloat(glob_max_sec) do
omniout_str(INFO, " ");
omniout_str(INFO, "TOP MAIN SOLVE Loop");
glob_iter := glob_iter + 1;
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := glob_current_iter + 1;
if glob_subiter_method = 1 then atomall()
elif glob_subiter_method = 2 then
subiter := 1;
while subiter <= 3 do atomall(); subiter := subiter + 1 end do
else
subiter := 1;
while subiter <= 3 + glob_max_terms do
atomall(); subiter := subiter + 1
end do
end if;
if glob_look_poles then check_for_pole() end if;
array_t[1] := array_t[1] + glob_h;
array_t[2] := glob_h;
order_diff := 2;
ord := 3;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_x1_higher_work[3, iii] := array_x1_higher[3, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 3;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_x1_higher_work[ord, iii];
iii := iii - 1
end do;
array_x1_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 2;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_x1_higher_work[2, iii] := array_x1_higher[2, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_x1_higher_work[ord, iii];
iii := iii - 1
end do;
array_x1_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_x1_higher_work[2, iii] := array_x1_higher[2, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_x1_higher_work[ord, iii];
iii := iii - 1
end do;
array_x1_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 1;
calc_term := 3;
iii := glob_max_terms;
while calc_term <= iii do
array_x1_higher_work[1, iii] := array_x1_higher[1, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 3;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_x1_higher_work[ord, iii];
iii := iii - 1
end do;
array_x1_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_x1_higher_work[1, iii] := array_x1_higher[1, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_x1_higher_work[ord, iii];
iii := iii - 1
end do;
array_x1_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_x1_higher_work[1, iii] := array_x1_higher[1, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_x1_higher_work[ord, iii];
iii := iii - 1
end do;
array_x1_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
term_no := glob_max_terms;
while 1 <= term_no do
array_x1[term_no] := array_x1_higher_work2[1, term_no];
ord := 1;
while ord <= order_diff do
array_x1_higher[ord, term_no] :=
array_x1_higher_work2[ord, term_no];
ord := ord + 1
end do;
term_no := term_no - 1
end do;
order_diff := 2;
ord := 3;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_x2_higher_work[3, iii] := array_x2_higher[3, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 3;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_x2_higher_work[ord, iii];
iii := iii - 1
end do;
array_x2_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 2;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_x2_higher_work[2, iii] := array_x2_higher[2, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_x2_higher_work[ord, iii];
iii := iii - 1
end do;
array_x2_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_x2_higher_work[2, iii] := array_x2_higher[2, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_x2_higher_work[ord, iii];
iii := iii - 1
end do;
array_x2_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 1;
calc_term := 3;
iii := glob_max_terms;
while calc_term <= iii do
array_x2_higher_work[1, iii] := array_x2_higher[1, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 3;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_x2_higher_work[ord, iii];
iii := iii - 1
end do;
array_x2_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_x2_higher_work[1, iii] := array_x2_higher[1, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_x2_higher_work[ord, iii];
iii := iii - 1
end do;
array_x2_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_x2_higher_work[1, iii] := array_x2_higher[1, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_x2_higher_work[ord, iii];
iii := iii - 1
end do;
array_x2_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
term_no := glob_max_terms;
while 1 <= term_no do
array_x2[term_no] := array_x2_higher_work2[1, term_no];
ord := 1;
while ord <= order_diff do
array_x2_higher[ord, term_no] :=
array_x2_higher_work2[ord, term_no];
ord := ord + 1
end do;
term_no := term_no - 1
end do;
display_alot(current_iter)
end do;
omniout_str(ALWAYS, "Finished!");
if glob_max_iter <= glob_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!")
end if;
if convfloat(glob_max_sec) <=
elapsed_time_seconds() - convfloat(glob_orig_start_sec) then
omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!")
end if;
glob_clock_sec := elapsed_time_seconds();
omniout_str(INFO,
"diff (x1,t,1) = 4.0 * x2 - 2.0 * diff (x2,t ,1) - 2.0 * x1;");
omniout_str(INFO, "diff (x2,t,2) = 3.0 * diff(x2,t,1) - 2.0 * x2 - di\
ff(x1,t,2) - diff (x1,t,1) + x1;");
omniout_int(INFO, "Iterations ", 32, glob_iter, 4,
" ");
prog_report(t_start, t_end);
if glob_html_log then
logstart(html_log_file);
logitem_str(html_log_file, "2012-06-13T15:43:09-05:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file, "mtest6")
;
logitem_str(html_log_file,
"diff (x1,t,1) = 4.0 * x2 - 2.0 * diff (x2,t ,1) - 2.0 * x1;")
;
logitem_float(html_log_file, t_start);
logitem_float(html_log_file, t_end);
logitem_float(html_log_file, array_t[1]);
logitem_float(html_log_file, glob_h);
logitem_integer(html_log_file, Digits);
logitem_integer(html_log_file, glob_max_terms);
logitem_float(html_log_file, array_1st_rel_error[1]);
logitem_float(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_iter);
logitem_pole(html_log_file, array_type_pole[1]);
if array_type_pole[1] = 1 or array_type_pole[1] = 2 then
logitem_float(html_log_file, array_pole[1]);
logitem_float(html_log_file, array_pole[2]);
0
else
logitem_str(html_log_file, "NA");
logitem_str(html_log_file, "NA");
0
end if;
logitem_time(html_log_file, convfloat(glob_clock_sec));
if glob_percent_done < 100.0 then
logitem_time(html_log_file, convfloat(glob_optimal_expect_sec))
;
0
else logitem_str(html_log_file, "Done"); 0
end if;
log_revs(html_log_file, " 090 | ");
logitem_str(html_log_file,
"mtest6 diffeq.mxt");
logitem_str(html_log_file,
"mtest6 maple results");
logitem_str(html_log_file,
"Test of revised logic - mostly affecting systems of eqs");
logend(html_log_file);
logditto(html_log_file);
logditto(html_log_file);
logditto(html_log_file);
logitem_str(html_log_file, "diff (x2,t,2) = 3.0 * diff(x2,t,1) - \
2.0 * x2 - diff(x1,t,2) - diff (x1,t,1) + x1;");
logditto(html_log_file);
logditto(html_log_file);
logditto(html_log_file);
logditto(html_log_file);
logditto(html_log_file);
logditto(html_log_file);
logitem_float(html_log_file, array_1st_rel_error[2]);
logitem_float(html_log_file, array_last_rel_error[2]);
logditto(html_log_file);
logitem_pole(html_log_file, array_type_pole[2]);
if array_type_pole[2] = 1 or array_type_pole[2] = 2 then
logitem_float(html_log_file, array_pole[1]);
logitem_float(html_log_file, array_pole[2]);
0
else
logitem_str(html_log_file, "NA");
logitem_str(html_log_file, "NA");
0
end if;
logditto(html_log_file);
if glob_percent_done < 100.0 then logditto(html_log_file); 0
else logditto(html_log_file); 0
end if;
logditto(html_log_file);
logditto(html_log_file);
logditto(html_log_file);
logditto(html_log_file);
logend(html_log_file)
end if;
if glob_html_log then fclose(html_log_file) end if
end proc
> mainprog();
##############ECHO OF PROBLEM#################
##############temp/mtest6postode.ode#################
diff (x1,t,1) = 4.0 * x2 - 2.0 * diff (x2,t ,1) - 2.0 * x1;
diff (x2,t,2) = 3.0 * diff(x2,t,1) - 2.0 * x2 - diff(x1,t,2) - diff (x1,t,1) + x1;
!
#BEGIN FIRST INPUT BLOCK
Digits := 32;
max_terms:=30;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
#
# was complicated.ode
#
t_start := 0.5;
t_end := 5.0;
array_x1_init[0 + 1] := exact_soln_x1(t_start);
array_x1_init[1 + 1] := exact_soln_x1p(t_start);
array_x2_init[0 + 1] := exact_soln_x2(t_start);
array_x2_init[1 + 1] := exact_soln_x2p(t_start);
glob_h := 0.00001 ;
glob_look_poles := true;
glob_max_iter := 10;
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE BLOCK
glob_h := 0.0001 ;
glob_look_poles := true;
glob_max_iter := 1000;
glob_max_minutes := 15;
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
exact_soln_x1 := proc(t)
local c1,c2,c3;
c1 := 1.0;
c2 := 0.0002;
c3 := 0.0003;
2.0 * c1 + 6.0 * c3 * exp(-t);
end;
exact_soln_x1p := proc(t)
local c1,c2,c3;
c1 := 1.0;
c2 := 0.0002;
c3 := 0.0003;
- 6.0 * c3 * exp(-t);
end;
exact_soln_x2 := proc(t)
local c1,c2,c3;
c1 := 1.0;
c2 := 0.0002;
c3 := 0.0003;
c1 + c2 * exp(2.0 * t) + c3 * exp(-t);
end;
exact_soln_x2p := proc(t)
local c1,c2,c3;
c1 := 1.0;
c2 := 0.0002;
c3 := 0.0003;
2.0 * c2 * exp(2.0 * t) - c3 * exp(-t);
end;
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
t[1] = 0.5
x1[1] (analytic) = 2.001091755187482740162486839163
x1[1] (numeric) = 2.001091755187482740162486839163
absolute error = 0
relative error = 0 %
h = 0.0001
x2[1] (analytic) = 1.0007256155636055990741531973548
x2[1] (numeric) = 1.0007256155636055990741531973548
absolute error = 0
relative error = 0 %
h = 0.0001
t[1] = 0.5
x1[1] (analytic) = 2.001091755187482740162486839163
x1[1] (numeric) = 2.001091755187482740162486839163
absolute error = 0
relative error = 0 %
h = 0.0001
x2[1] (analytic) = 1.0007256155636055990741531973548
x2[1] (numeric) = 1.0007256155636055990741531973548
absolute error = 0
relative error = 0 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3.8MB, alloc=3.1MB, time=0.21
NO POLE
NO POLE
t[1] = 0.5001
x1[1] (analytic) = 2.0010916460174225858712352664712
x1[1] (numeric) = 2.001091646006505255470640983898
absolute error = 1.09173304005942825732e-11
relative error = 5.4556873606073863903748488926446e-10 %
h = 0.0001
x2[1] (analytic) = 1.0007257061107425639459896605159
x2[1] (numeric) = 1.0007257061162020742151580693388
absolute error = 5.4595102691684088229e-12
relative error = 5.4555511423669245702936044230717e-10 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=7.6MB, alloc=4.4MB, time=0.48
memory used=11.4MB, alloc=4.4MB, time=0.76
NO POLE
NO POLE
t[1] = 0.5002
x1[1] (analytic) = 2.0010915368582788917633066026401
x1[1] (numeric) = 2.0010915368145916675299795643453
absolute error = 4.36872242333270382948e-11
relative error = 2.1831697065650550796183674704255e-09 %
h = 0.0001
x2[1] (analytic) = 1.0007257966814495432344339416603
x2[1] (numeric) = 1.0007257967032906645626797694799
absolute error = 2.18411213282458278196e-11
relative error = 2.1825280612005928860442019527042e-09 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=15.2MB, alloc=4.4MB, time=1.03
NO POLE
NO POLE
t[1] = 0.5003
x1[1] (analytic) = 2.0010914277100505662472629969306
x1[1] (numeric) = 2.0010914276117408853032277932713
absolute error = 9.83096809440352036593e-11
relative error = 4.9128030625035413584519207841583e-09 %
h = 0.0001
x2[1] (analytic) = 1.0007258872757307055634980331085
x2[1] (numeric) = 1.0007258873248799067876632386685
absolute error = 4.91492012241652055600e-11
relative error = 4.9113550322919838364022401174740e-09 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=19.0MB, alloc=4.4MB, time=1.30
memory used=22.8MB, alloc=4.5MB, time=1.58
NO POLE
NO POLE
t[1] = 0.5004
x1[1] (analytic) = 2.001091318572736517840820284614
x1[1] (numeric) = 2.0010913183979518176445775430023
absolute error = 1.747847001962427416117e-10
relative error = 8.7344689657095023289491022221377e-09 %
h = 0.0001
x2[1] (analytic) = 1.0007259778935902204455844087623
x2[1] (numeric) = 1.0007259779809783394315848171717
absolute error = 8.73881189860004084094e-11
relative error = 8.7324723167416977908507146443463e-09 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=26.7MB, alloc=4.5MB, time=1.86
NO POLE
NO POLE
t[1] = 0.5005
x1[1] (analytic) = 2.001091209446335655170837072148
x1[1] (numeric) = 2.0010912091732233732996766117045
absolute error = 2.731122818711604604435e-10
relative error = 1.3648167588858955514853423353676e-08 %
h = 0.0001
x2[1] (analytic) = 1.0007260685350322582816582620126
x2[1] (numeric) = 1.0007260686715945029068425367838
absolute error = 1.365622446251842747712e-10
relative error = 1.3646316301632714187506947314974e-08 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=30.5MB, alloc=4.5MB, time=2.12
NO POLE
NO POLE
t[1] = 0.5006
x1[1] (analytic) = 2.0010911003308468869733038234462
x1[1] (numeric) = 2.0010910999375544609056179886155
absolute error = 3.932924260676858348307e-10
relative error = 1.9653899115470631069134819564991e-08 %
h = 0.0001
x2[1] (analytic) = 1.0007261592000609903614197786446
x2[1] (numeric) = 1.0007261593967369394971464926269
absolute error = 1.966759491357267139823e-10
relative error = 1.9653323471921760806638407772079e-08 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=34.3MB, alloc=4.5MB, time=2.39
memory used=38.1MB, alloc=4.5MB, time=2.67
NO POLE
NO POLE
t[1] = 0.5007
x1[1] (analytic) = 2.0010909912262691220933319472376
x1[1] (numeric) = 2.0010909906909439889909291182261
absolute error = 5.353251331024028290115e-10
relative error = 2.6751663739905971838031954100662e-08 %
h = 0.0001
x2[1] (analytic) = 1.0007262498886805888634764447463
x2[1] (numeric) = 1.0007262501564141933579092946166
absolute error = 2.677336044944328498703e-10
relative error = 2.6753930410460919523106383485470e-08 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=41.9MB, alloc=4.5MB, time=2.94
NO POLE
NO POLE
t[1] = 0.5008
x1[1] (analytic) = 2.0010908821326012694851428855176
x1[1] (numeric) = 2.001090881433390865975561163414
absolute error = 6.992104035095817221036e-10
relative error = 3.4941461667369133530238331006972e-08 %
h = 0.0001
x2[1] (analytic) = 1.0007263406008952268555153896278
x2[1] (numeric) = 1.0007263409506348105166365986095
absolute error = 3.497395836611212089817e-10
relative error = 3.4948573798019236425347323071455e-08 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=45.7MB, alloc=4.5MB, time=3.20
memory used=49.5MB, alloc=4.5MB, time=3.48
NO POLE
NO POLE
t[1] = 0.5009
x1[1] (analytic) = 2.0010907730498422382120572030903
x1[1] (numeric) = 2.0010907721648940001708782675271
absolute error = 8.849482380411789355632e-10
relative error = 4.4223293113906984991337531440920e-08 %
h = 0.0001
x2[1] (analytic) = 1.0007264313367090782944757637584
x2[1] (numeric) = 1.0007264317794073388733177172481
absolute error = 4.426982605788419534897e-10
relative error = 4.4237690413304336301705945767196e-08 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=53.4MB, alloc=4.5MB, time=3.75
NO POLE
NO POLE
t[1] = 0.501
x1[1] (analytic) = 2.001090663977990937446483678202
x1[1] (numeric) = 2.0010906628854522997796468154187
absolute error = 1.0925386376668368627833e-09
relative error = 5.4597158306409108583368010413427e-08 %
h = 0.0001
x2[1] (analytic) = 1.0007265220961263180267211517279
x2[1] (numeric) = 1.00072652264274032820081631052
absolute error = 5.466140101740951587921e-10
relative error = 5.4621717132984041495124052030636e-08 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=57.2MB, alloc=4.5MB, time=4.01
NO POLE
NO POLE
t[1] = 0.5011
x1[1] (analytic) = 2.0010905549170462764699083942649
x1[1] (numeric) = 2.0010905535950646728960246934323
absolute error = 1.3219816035738837008326e-09
relative error = 6.6063057482607800669582790087733e-08 %
h = 0.0001
x2[1] (analytic) = 1.0007266128791511217882120202398
x2[1] (numeric) = 1.0007266135406423301452611560463
absolute error = 6.614912083570491358065e-10
relative error = 6.6101090931707995126859189806599e-08 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=61.0MB, alloc=4.5MB, time=4.28
memory used=64.8MB, alloc=4.5MB, time=4.56
NO POLE
NO POLE
t[1] = 0.5012
x1[1] (analytic) = 2.0010904458670071646728838326719
x1[1] (numeric) = 2.0010904442937300275055505483374
absolute error = 1.5732771371673332843345e-09
relative error = 7.8620990891078072204379434751757e-08 %
h = 0.0001
x2[1] (analytic) = 1.000726703685787666204678201143
x2[1] (numeric) = 1.0007267044731218982264369991164
absolute error = 7.873342320217587979734e-10
relative error = 7.8676248882129288690247064292639e-08 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=68.6MB, alloc=4.5MB, time=4.83
NO POLE
NO POLE
t[1] = 0.5013
x1[1] (analytic) = 2.0010903368278725115550179667025
x1[1] (numeric) = 2.0010903349814472714851330452158
absolute error = 1.8464252400698849214867e-09
relative error = 9.2270958791237649428425665254899e-08 %
h = 0.0001
x2[1] (analytic) = 1.0007267945160401287917914095088
x2[1] (numeric) = 1.0007267954401875878381754824849
absolute error = 9.241474590463840729761e-10
relative error = 9.2347628154926094015351682441506e-08 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=72.4MB, alloc=4.5MB, time=5.10
memory used=76.2MB, alloc=4.6MB, time=5.39
NO POLE
NO POLE
t[1] = 0.5014
x1[1] (analytic) = 2.0010902277996412267249633565185
x1[1] (numeric) = 2.0010902256582153126030401242979
absolute error = 2.1414259141219232322206e-09
relative error = 1.0701296145334697466894100604997e-07 %
h = 0.0001
x2[1] (analytic) = 1.0007268853699126879553377967599
x2[1] (numeric) = 1.0007268864418479562487461559465
absolute error = 1.0719352682934083591866e-09
relative error = 1.0711566601882329960537718169916e-07 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=80.1MB, alloc=4.6MB, time=5.66
NO POLE
NO POLE
t[1] = 0.5015
x1[1] (analytic) = 2.001090118782312219900406245251
x1[1] (numeric) = 2.0010901163240330585188882567491
absolute error = 2.4582791613815179885019e-09
relative error = 1.2284699915850920724520479796573e-07 %
h = 0.0001
x2[1] (analytic) = 1.0007269762474095229913905388596
x2[1] (numeric) = 1.0007269774781115626012475657053
absolute error = 1.2307020396098570268457e-09
relative error = 1.2298079984061415134561534514462e-07 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=83.9MB, alloc=4.6MB, time=5.93
NO POLE
NO POLE
t[1] = 0.5016
x1[1] (analytic) = 2.0010900097758844009080556561764
x1[1] (numeric) = 2.0010900069788994167836316994067
absolute error = 2.7969849841244239567697e-09
relative error = 1.3977307219867022447915602145759e-07 %
h = 0.0001
x2[1] (analytic) = 1.0007270671485348140864824595667
x2[1] (numeric) = 1.0007270685489869679139984235543
memory used=87.7MB, alloc=4.6MB, time=6.20
absolute error = 1.4004521538275159639876e-09
relative error = 1.3994346708518189758591263271196e-07 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=91.5MB, alloc=4.6MB, time=6.48
NO POLE
NO POLE
t[1] = 0.5017
x1[1] (analytic) = 2.0010899007803566796836324909845
x1[1] (numeric) = 2.0010898976228132948395517484667
absolute error = 3.1575433848440807425178e-09
relative error = 1.5779118087661862281127020066184e-07 %
h = 0.0001
x2[1] (analytic) = 1.000727158073292742317778688764
x2[1] (numeric) = 1.0007271596544827350809288558817
absolute error = 1.5811899927631501671177e-09
relative error = 1.5800410531552143859748065436125e-07 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=95.3MB, alloc=4.6MB, time=6.75
NO POLE
NO POLE
t[1] = 0.5018
x1[1] (analytic) = 2.0010897917957279662718586291348
x1[1] (numeric) = 2.0010897882557736000202459921201
absolute error = 3.5399543662516126370147e-09
relative error = 1.7690132550598571902153885464191e-07 %
h = 0.0001
x2[1] (analytic) = 1.0007272490216874896532493558668
x2[1] (numeric) = 1.0007272507946074288719717325198
absolute error = 1.7729199392187223766530e-09
relative error = 1.7716315219276098040494394022900e-07 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=99.1MB, alloc=4.6MB, time=7.02
memory used=102.9MB, alloc=4.6MB, time=7.30
NO POLE
NO POLE
t[1] = 0.5019
x1[1] (analytic) = 2.0010896828219971708264460283046
x1[1] (numeric) = 2.0010896788777792395506175621395
absolute error = 3.9442179312758284661651e-09
relative error = 1.9710350641124555155569179053298e-07 %
h = 0.0001
x2[1] (analytic) = 1.0007273399937232389518423183184
x2[1] (numeric) = 1.0007273419693696159334540754524
absolute error = 1.9756463769816117571340e-09
relative error = 1.9742104547618369299446887910379e-07 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=106.8MB, alloc=4.6MB, time=7.58
NO POLE
NO POLE
t[1] = 0.502
x1[1] (analytic) = 2.0010895738591632036100858259251
x1[1] (numeric) = 2.0010895694888291205468643844151
absolute error = 4.3703340830632214415100e-09
relative error = 2.1839772392771488195651768845875e-07 %
h = 0.0001
x2[1] (analytic) = 1.0007274309894041739636559251805
x2[1] (numeric) = 1.0007274331787778647884885473975
absolute error = 2.1893736908248326222170e-09
relative error = 2.1877822302324937289881767657499e-07 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=110.6MB, alloc=4.6MB, time=7.84
NO POLE
NO POLE
memory used=114.4MB, alloc=4.6MB, time=8.12
t[1] = 0.5021
x1[1] (analytic) = 2.0010894649072249749944374418092
x1[1] (numeric) = 2.0010894600889221500164684284404
absolute error = 4.8183028249779690133688e-09
relative error = 2.4078397840155319640045325645955e-07 %
h = 0.0001
x2[1] (analytic) = 1.0007275220087344793301118158238
x2[1] (numeric) = 1.0007275244228407458373650202804
absolute error = 2.4141062665072532044566e-09
relative error = 2.4123512278961611016026109876809e-07 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=118.2MB, alloc=4.6MB, time=8.39
NO POLE
NO POLE
t[1] = 0.5022
x1[1] (analytic) = 2.0010893559661813954601176818676
x1[1] (numeric) = 2.0010893506780572348581849557472
absolute error = 5.2881241606019327261204e-09
relative error = 2.6426227018976270733929140787377e-07 %
h = 0.0001
x2[1] (analytic) = 1.0007276130517183405841277537279
x2[1] (numeric) = 1.0007276157015668313579422236147
absolute error = 2.6498484907738144698868e-09
relative error = 2.6479218282916195967214384929129e-07 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=122.0MB, alloc=4.6MB, time=8.67
NO POLE
NO POLE
t[1] = 0.5023
x1[1] (analytic) = 2.001089247036031375596689842915
x1[1] (numeric) = 2.0010892412562332818620317672906
absolute error = 5.7797980937346580756244e-09
relative error = 2.8883259966018835524706380188824e-07 %
h = 0.0001
x2[1] (analytic) = 1.0007277041183599441502904953943
x2[1] (numeric) = 1.0007277070149646955060394728059
absolute error = 2.8966047513557489774116e-09
relative error = 2.8944984129400661690014622523950e-07 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=125.8MB, alloc=4.6MB, time=8.94
memory used=129.7MB, alloc=4.6MB, time=9.21
NO POLE
NO POLE
t[1] = 0.5024
x1[1] (analytic) = 2.001089138116773826102652818566
x1[1] (numeric) = 2.0010891318234491977092784497824
absolute error = 6.2933246283933743687836e-09
relative error = 3.1449496719151781047215808520220e-07 %
h = 0.0001
x2[1] (analytic) = 1.0007277952086634773450286943839
x2[1] (numeric) = 1.000727798363042914315828477395
absolute error = 3.1543794369707997830111e-09
relative error = 3.1520853643453309798379603428368e-07 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=133.5MB, alloc=4.6MB, time=9.49
NO POLE
NO POLE
t[1] = 0.5025
x1[1] (analytic) = 2.0010890292084076577854302062196
x1[1] (numeric) = 2.0010890223797038889724356209744
absolute error = 6.8287037688129945852452e-09
relative error = 3.4124937317328147519454027610353e-07 %
h = 0.0001
x2[1] (analytic) = 1.0007278863226331283767858404813
x2[1] (numeric) = 1.0007278897458100657002252292572
absolute error = 3.4231769373234393887759e-09
relative error = 3.4206870659940942421946424044487e-07 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=137.3MB, alloc=4.6MB, time=9.76
memory used=141.1MB, alloc=4.6MB, time=10.04
NO POLE
NO POLE
t[1] = 0.5026
x1[1] (analytic) = 2.0010889203109317815613594151339
x1[1] (numeric) = 2.0010889129249962621152441738905
absolute error = 7.3859355194461152412434e-09
relative error = 3.6909581800585248548821758792195e-07 %
h = 0.0001
x2[1] (analytic) = 1.0007279774602730863461932339965
x2[1] (numeric) = 1.0007279811632747294512819707725
absolute error = 3.7030016431050887367760e-09
relative error = 3.7003079023561031092541826593401e-07 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=144.9MB, alloc=4.6MB, time=10.32
NO POLE
NO POLE
t[1] = 0.5027
x1[1] (analytic) = 2.0010888114243451084556807755893
x1[1] (numeric) = 2.0010888034593252234926645200078
absolute error = 7.9650198849630162555815e-09
relative error = 3.9803430210044671348884711395453e-07 %
h = 0.0001
x2[1] (analytic) = 1.000728068621587541246242995209
x2[1] (numeric) = 1.0007280726154454872405792429842
absolute error = 3.9938579459943362477752e-09
relative error = 3.9909522588843886068998650736205e-07 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=148.7MB, alloc=4.6MB, time=10.59
NO POLE
NO POLE
t[1] = 0.5028
x1[1] (analytic) = 2.0010887025486465496025266491408
x1[1] (numeric) = 2.0010886939826896793508658313869
absolute error = 8.5659568702516608177539e-09
relative error = 4.2806482587912276966651073327741e-07 %
h = 0.0001
x2[1] (analytic) = 1.0007281598065806839624611089617
x2[1] (numeric) = 1.0007281641023309226196180137612
absolute error = 4.2957502386571569047995e-09
relative error = 4.2926245220154826100363778631386e-07 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=152.5MB, alloc=4.6MB, time=10.87
memory used=156.4MB, alloc=4.6MB, time=11.14
NO POLE
NO POLE
t[1] = 0.5029
x1[1] (analytic) = 2.0010885936838350162449105399592
x1[1] (numeric) = 2.0010885844950885358272152817503
absolute error = 9.1887464804176952582089e-09
relative error = 4.5918738977478200520370158319263e-07 %
h = 0.0001
x2[1] (analytic) = 1.0007282510152567062730805044118
x2[1] (numeric) = 1.0007282556239396210202118859809
absolute error = 4.6086829147471313815691e-09
relative error = 4.6053290791696348627588935418688e-07 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=160.2MB, alloc=4.6MB, time=11.43
NO POLE
NO POLE
t[1] = 0.503
x1[1] (analytic) = 2.0010884848299094197347162072617
x1[1] (numeric) = 2.0010884749965206989502672865103
absolute error = 9.8333887207844489207514e-09
relative error = 4.9140199423116851447847749296013e-07 %
h = 0.0001
x2[1] (analytic) = 1.0007283422476198008492141699459
x2[1] (numeric) = 1.0007283471802801697548793857478
absolute error = 4.9326603689056652158019e-09
relative error = 4.9290703187510300423778717479047e-07 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=164.0MB, alloc=4.6MB, time=11.71
memory used=167.8MB, alloc=4.6MB, time=11.98
NO POLE
NO POLE
t[1] = 0.5031
x1[1] (analytic) = 2.0010883759868686715326867788304
x1[1] (numeric) = 2.0010883654869850746397527417449
absolute error = 1.04998835968929340370855e-08
relative error = 5.2470863970286913765278174889696e-07 %
h = 0.0001
x2[1] (analytic) = 1.0007284335036741612550283032656
x2[1] (numeric) = 1.0007284387713611580172363306651
absolute error = 5.2676869967622080273995e-09
relative error = 5.2638526301480048673101196253578e-07 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=171.6MB, alloc=4.6MB, time=12.27
NO POLE
NO POLE
t[1] = 0.5032
x1[1] (analytic) = 2.0010882671547116832084138656195
x1[1] (numeric) = 2.0010882559664805687065682621227
absolute error = 1.11882311145018456034968e-08
relative error = 5.5910732665531346336592156629025e-07 %
h = 0.0001
x2[1] (analytic) = 1.0007285247834239819479154966509
x2[1] (numeric) = 1.0007285303971911768823882781747
absolute error = 5.6137671949344727815238e-09
relative error = 5.6096804037332652488437464491261e-07 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=175.4MB, alloc=4.6MB, time=12.54
NO POLE
NO POLE
t[1] = 0.5033
x1[1] (analytic) = 2.0010881583334373664403266774516
x1[1] (numeric) = 2.0010881464350060868527654177757
absolute error = 1.18984312795875612596759e-08
relative error = 5.9459805556477383153327959727089e-07 %
h = 0.0001
x2[1] (analytic) = 1.0007286160868734582786679574086
x2[1] (numeric) = 1.000728622057778819307323053982
absolute error = 5.9709053610286550965734e-09
relative error = 5.9665580308641034867857481781177e-07 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=179.2MB, alloc=4.6MB, time=12.81
memory used=183.1MB, alloc=4.6MB, time=13.09
NO POLE
NO POLE
t[1] = 0.5034
x1[1] (analytic) = 2.0010880495230446330156811398021
x1[1] (numeric) = 2.0010880368925605346715399701205
absolute error = 1.26304840983441411696816e-08
relative error = 6.3118082691836533625018388531378e-07 %
h = 0.0001
x2[1] (analytic) = 1.0007287074140267864916507635123
x2[1] (numeric) = 1.0007287137531326801313033605818
absolute error = 6.3391058936396525970695e-09
relative error = 6.3344899038826155090014570570618e-07 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=186.9MB, alloc=4.6MB, time=13.36
NO POLE
NO POLE
t[1] = 0.5035
x1[1] (analytic) = 2.0010879407235323948305490116711
x1[1] (numeric) = 2.0010879273391428176472211066282
absolute error = 1.33843895771833279050429e-08
relative error = 6.6885564121404582880089166061388e-07 %
h = 0.0001
x2[1] (analytic) = 1.0007287987648881637249751544417
x2[1] (numeric) = 1.0007288054832613560762594659013
absolute error = 6.7183731923512843114596e-09
relative error = 6.7134804161159181548536922047892e-07 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=190.7MB, alloc=4.6MB, time=13.63
memory used=194.5MB, alloc=4.6MB, time=13.91
NO POLE
NO POLE
t[1] = 0.5036
x1[1] (analytic) = 2.0010878319348995638898070045447
x1[1] (numeric) = 2.0010878177747518411552606745417
absolute error = 1.41601477227345463300030e-08
relative error = 7.0762249896061592077284725905169e-07 %
h = 0.0001
x2[1] (analytic) = 1.0007288901394617880106718572265
x2[1] (numeric) = 1.0007288972481734457471819720763
absolute error = 7.1087116577365101148498e-09
relative error = 7.1035339618763665025519451050984e-07 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=198.3MB, alloc=4.6MB, time=14.18
NO POLE
NO POLE
t[1] = 0.5037
x1[1] (analytic) = 2.0010877231571450523071259024436
x1[1] (numeric) = 2.0010877081993865104622224135413
absolute error = 1.49577585418449034889023e-08
relative error = 7.4748140067771898727606461596395e-07 %
h = 0.0001
x2[1] (analytic) = 1.0007289815377518582748644477049
x2[1] (numeric) = 1.0007289890478775496325146643772
absolute error = 7.5101256913576502166723e-09
relative error = 7.5046549364617712404177367729975e-07 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=202.1MB, alloc=4.6MB, time=14.46
NO POLE
NO POLE
t[1] = 0.5038
x1[1] (analytic) = 2.0010876143902677723049596830596
x1[1] (numeric) = 2.0010875986130457307257711873582
absolute error = 1.57772220415791884957014e-08
relative error = 7.8843234689584117026768467709404e-07 %
h = 0.0001
x2[1] (analytic) = 1.0007290729597625743379427469999
x2[1] (numeric) = 1.0007290808823822701045474403005
absolute error = 7.9226196957666046933006e-09
relative error = 7.9168477361556160820781788709467e-07 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=205.9MB, alloc=4.6MB, time=14.73
memory used=209.8MB, alloc=4.6MB, time=15.00
NO POLE
NO POLE
t[1] = 0.5039
x1[1] (analytic) = 2.0010875056342666362145346399805
x1[1] (numeric) = 2.0010874890157284069946622143361
absolute error = 1.66185382292198724256444e-08
relative error = 8.3047533815631138198172308806550e-07 %
h = 0.0001
x2[1] (analytic) = 1.0007291644054981369147362532235
x2[1] (numeric) = 1.0007291727516962114198093188421
absolute error = 8.3461980745050730656186e-09
relative error = 8.3401167582272752255934754358728e-07 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=213.6MB, alloc=4.6MB, time=15.28
NO POLE
NO POLE
t[1] = 0.504
x1[1] (analytic) = 2.0010873968891405564758385060019
x1[1] (numeric) = 2.0010873794074334442087302969396
absolute error = 1.74817071122671082090623e-08
relative error = 8.7361037501130130846399853724113e-07 %
h = 0.0001
x2[1] (analytic) = 1.0007292558749627476146876084142
x2[1] (numeric) = 1.000729264655827979719461529969
absolute error = 8.7808652321047739215548e-09
relative error = 8.7744664009322308565290980344462e-07 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=217.4MB, alloc=4.6MB, time=15.55
memory used=221.2MB, alloc=4.6MB, time=15.82
NO POLE
NO POLE
t[1] = 0.5041
x1[1] (analytic) = 2.0010872881548884456376095775276
x1[1] (numeric) = 2.0010872697881597471988790502113
absolute error = 1.83667286984387305273163e-08
relative error = 9.1783745802382541321223212675093e-07 %
h = 0.0001
x2[1] (analytic) = 1.0007293473681606089420261007159
x2[1] (numeric) = 1.0007293565947861830296906843049
absolute error = 9.2266255740876645835890e-09
relative error = 9.2199010635122906949795697301727e-07 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=225.0MB, alloc=4.6MB, time=16.10
NO POLE
NO POLE
t[1] = 0.5042
x1[1] (analytic) = 2.0010871794315092163573258400565
x1[1] (numeric) = 2.0010871601579062206870701291755
absolute error = 1.92736029956702557108810e-08
relative error = 9.6315658776774094092131814096335e-07 %
h = 0.0001
x2[1] (analytic) = 1.0007294388850959242959412018029
x2[1] (numeric) = 1.0007294485685794312621020230465
absolute error = 9.6834835069661608212436e-09
relative error = 9.6764251461958055865554896192854e-07 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=228.8MB, alloc=4.6MB, time=16.37
NO POLE
NO POLE
t[1] = 0.5043
x1[1] (analytic) = 2.0010870707190017814011940947576
x1[1] (numeric) = 2.0010870505166717692863124551899
absolute error = 2.02023300121148816395677e-08
relative error = 1.0095677648277479213337765761664e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007295304257728979707561395621
x2[1] (numeric) = 1.0007295405772163362141127481263
absolute error = 1.01514434382433566085642e-08
relative error = 1.0144043050197887137338034882707e-06 %
h = 0.0001
memory used=232.7MB, alloc=4.6MB, time=16.64
TOP MAIN SOLVE Loop
memory used=236.5MB, alloc=4.6MB, time=16.92
NO POLE
NO POLE
t[1] = 0.5044
x1[1] (analytic) = 2.001086962017365053644139086132
x1[1] (numeric) = 2.0010869408644552975006514412442
absolute error = 2.11529097561434876448878e-08
relative error = 1.0570709897993891731953878005897e-06 %
h = 0.0001
x2[1] (analytic) = 1.000729621990195735156101506034
x2[1] (numeric) = 1.0007296326207055115693454326386
absolute error = 1.06305097764132439266046e-08
relative error = 1.0622759177720625392815569519974e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=240.3MB, alloc=4.6MB, time=17.19
NO POLE
NO POLE
t[1] = 0.5045
x1[1] (analytic) = 2.0010868533265979460697926307621
x1[1] (numeric) = 2.001086831201255709725158216206
absolute error = 2.21253422363446344145561e-08
relative error = 1.1056662632890503083159997192553e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007297135783686419370889006249
x2[1] (numeric) = 1.0007297246990555728980215115441
absolute error = 1.11206869309609326109192e-08
relative error = 1.1112577931953306560804897547404e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=244.1MB, alloc=4.6MB, time=17.46
memory used=247.9MB, alloc=4.6MB, time=17.74
NO POLE
NO POLE
t[1] = 0.5046
x1[1] (analytic) = 2.0010867446466993717704827471482
x1[1] (numeric) = 2.001086721527071910245918848014
absolute error = 2.31196274615245638991342e-08
relative error = 1.1553535859139597357355178072071e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007298051902958252944846085935
x2[1] (numeric) = 1.00072981681227513765735485267
absolute error = 1.16219793123628702440765e-08
relative error = 1.1613503717072630778370390441792e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=251.7MB, alloc=4.6MB, time=18.02
NO POLE
NO POLE
t[1] = 0.5047
x1[1] (analytic) = 2.0010866359776682439472227866313
x1[1] (numeric) = 2.0010866118419028032400235658178
absolute error = 2.41357654407071992208135e-08
relative error = 1.2061329583021886659950533936034e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007298968259814931048833148203
x2[1] (numeric) = 1.0007299089603728251919454080219
absolute error = 1.21343913320870620932016e-08
relative error = 1.2125540938242929922748422635434e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=255.5MB, alloc=4.6MB, time=18.29
NO POLE
NO POLE
memory used=259.4MB, alloc=4.6MB, time=18.57
t[1] = 0.5048
x1[1] (analytic) = 2.0010865273195034759097005654036
x1[1] (numeric) = 2.001086502145747292775555981065
absolute error = 2.51737561831341445843386e-08
relative error = 1.2580043810926511155132705437833e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007299884854298541408818528671
x2[1] (numeric) = 1.0007300011433572567341729454229
absolute error = 1.26579274025932910925558e-08
relative error = 1.2648694001616385466284748520794e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=263.2MB, alloc=4.6MB, time=18.84
NO POLE
NO POLE
t[1] = 0.5049
x1[1] (analytic) = 2.0010864186722039810762674976051
x1[1] (numeric) = 2.0010863924386042828115823075348
absolute error = 2.62335996982646851900703e-08
relative error = 1.3109678549351039110678919297901e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007300801686451180712529893331
x2[1] (numeric) = 1.0007300933612370554045908604969
absolute error = 1.31925919373333378711638e-08
relative error = 1.3182967314333246375394852470380e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=267.0MB, alloc=4.6MB, time=19.12
NO POLE
NO POLE
t[1] = 0.505
x1[1] (analytic) = 2.0010863100357686729739277295073
x1[1] (numeric) = 2.0010862827204726771981405803184
absolute error = 2.73152959957757871491889e-08
relative error = 1.3650233804901466943823990390358e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007301718756314954611192435145
x2[1] (numeric) = 1.0007301856140208462123200690121
absolute error = 1.37383893507512008254976e-08
relative error = 1.3728365284522047053555904195223e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=270.8MB, alloc=4.6MB, time=19.39
memory used=274.6MB, alloc=4.6MB, time=19.67
NO POLE
NO POLE
t[1] = 0.5051
x1[1] (analytic) = 2.0010862014101964652383272747832
x1[1] (numeric) = 2.001086172991351379676229873746
absolute error = 2.84188450855620974010372e-08
relative error = 1.4201709584292219268178971060078e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007302636063931977721267423749
x2[1] (numeric) = 1.0007302779017172560554429796008
absolute error = 1.42953240582833162372259e-08
relative error = 1.4284892321299825328338651781520e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=278.4MB, alloc=4.6MB, time=19.94
NO POLE
NO POLE
t[1] = 0.5052
x1[1] (analytic) = 2.0010860927954862716137431508637
x1[1] (numeric) = 2.0010860632512392938777995182601
absolute error = 2.95442469777359436326036e-08
relative error = 1.4764105894346148941701651247034e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007303553609344373626191108334
x2[1] (numeric) = 1.0007303702243349137213975468718
absolute error = 1.48634004763587784360384e-08
relative error = 1.4852552834772340482488184104528e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=282.2MB, alloc=4.6MB, time=20.21
memory used=286.1MB, alloc=4.6MB, time=20.48
NO POLE
NO POLE
t[1] = 0.5053
x1[1] (analytic) = 2.0010859841916370059530725163803
x1[1] (numeric) = 2.0010859535001353233257383162358
absolute error = 3.06915016826273342001445e-08
relative error = 1.5337422741994537115718513319656e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007304471392594274878113973781
x2[1] (numeric) = 1.0007304625818824498873714049317
absolute error = 1.54426230223995600075536e-08
relative error = 1.5431351236034291329061694699573e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=289.9MB, alloc=4.6MB, time=20.75
NO POLE
NO POLE
t[1] = 0.5054
x1[1] (analytic) = 2.0010858755986475822178218096944
x1[1] (numeric) = 2.0010858437380383714338637567464
absolute error = 3.18606092107839580529480e-08
relative error = 1.5921660134277093284999144758422e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007305389413723822999640350102
x2[1] (numeric) = 1.0007305549743684971206960813312
absolute error = 1.60329961148207320463210e-08
relative error = 1.6021291937169534330633677288452e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=293.7MB, alloc=4.6MB, time=21.05
NO POLE
NO POLE
t[1] = 0.5055
x1[1] (analytic) = 2.0010857670165169144780958885117
x1[1] (numeric) = 2.0010857339649473415069112292761
absolute error = 3.30515695729711846592356e-08
relative error = 1.6516818078341955338881463268398e-06 %
h = 0.0001
x2[1] (analytic) = 1.000730630767277516848556837528
x2[1] (numeric) = 1.0007306474018016898792412914528
absolute error = 1.66345241730306844539248e-08
relative error = 1.6622379351251301762575185729407e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=297.5MB, alloc=4.6MB, time=21.35
memory used=301.3MB, alloc=4.6MB, time=21.65
NO POLE
NO POLE
t[1] = 0.5056
x1[1] (analytic) = 2.001085658445243916912587170584
x1[1] (numeric) = 2.0010856241808611367405232363783
absolute error = 3.42643827801720639342057e-08
relative error = 1.7122896581445689613449656972017e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007307226169790470804630311551
x2[1] (numeric) = 1.0007307398641906645118093133561
absolute error = 1.72472116174313462822010e-08
relative error = 1.7234617892342419920418587452348e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=305.1MB, alloc=4.6MB, time=21.94
NO POLE
NO POLE
t[1] = 0.5057
x1[1] (analytic) = 2.0010855498848275038085647754956
x1[1] (numeric) = 2.0010855143857786602212386052799
absolute error = 3.54990488435873261702157e-08
relative error = 1.7739895650953290944763244232186e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007308144904811898401233215242
x2[1] (numeric) = 1.0007308323615440592585294430967
absolute error = 1.78710628694184061215725e-08
relative error = 1.7858011975495527371311944566608e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=308.9MB, alloc=4.6MB, time=22.24
memory used=312.8MB, alloc=4.6MB, time=22.53
NO POLE
NO POLE
t[1] = 0.5058
x1[1] (analytic) = 2.001085441335266589561863667536
x1[1] (numeric) = 2.0010854045796988149264816984319
absolute error = 3.67555677746353819691041e-08
relative error = 1.8367815294338182723137956406757e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007309063877881628697199960171
x2[1] (numeric) = 1.0007309248938705142512525305355
absolute error = 1.85060823513815325345184e-08
relative error = 1.8492566016753293249578748156362e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=316.6MB, alloc=4.6MB, time=22.81
NO POLE
NO POLE
t[1] = 0.5059
x1[1] (analytic) = 2.0010853327965600886768737996586
x1[1] (numeric) = 2.0010852947626205037245516230051
absolute error = 3.80339395849523221766535e-08
relative error = 1.9006655519182216948478896970603e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007309983089041848093510614748
x2[1] (numeric) = 1.000731017461178671513945595654
absolute error = 1.91522744867045945341792e-08
relative error = 1.9138284433148635596384241661724e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=320.4MB, alloc=4.6MB, time=23.09
NO POLE
NO POLE
t[1] = 0.506
x1[1] (analytic) = 2.0010852242687069157665292585244
x1[1] (numeric) = 2.0010851849345426293746114393322
absolute error = 3.93341642863919178191922e-08
relative error = 1.9656416333175674286664831308689e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007310902538334751972044172794
x2[1] (numeric) = 1.0007311100634771749630865253922
absolute error = 1.98096436997658821081128e-08
relative error = 1.9795171642704939743522759402319e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=324.2MB, alloc=4.6MB, time=23.36
memory used=328.0MB, alloc=4.6MB, time=23.65
NO POLE
NO POLE
t[1] = 0.5061
x1[1] (analytic) = 2.001085115751705985552297410631
x1[1] (numeric) = 2.001085075095464094526677368295
absolute error = 4.06562418910256200423360e-08
relative error = 2.0317097744117264126984410424894e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007311822225802544697320638176
x2[1] (numeric) = 1.0007312027007746704080588510256
absolute error = 2.04781944159383267872080e-08
relative error = 2.0463232064436276741332312083480e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=331.8MB, alloc=4.6MB, time=23.93
NO POLE
NO POLE
t[1] = 0.5062
x1[1] (analytic) = 2.0010850072455562128641680495278
x1[1] (numeric) = 2.0010849652453838017216079976571
absolute error = 4.20001724111425600518707e-08
relative error = 2.0988699759914124640624582109171e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007312742151487439618243463322
x2[1] (numeric) = 1.0007312953730798055515466060969
absolute error = 2.11579310615897222597647e-08
relative error = 2.1142470118347621830745149096488e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=335.7MB, alloc=4.6MB, time=24.24
memory used=339.5MB, alloc=4.6MB, time=24.53
NO POLE
NO POLE
t[1] = 0.5063
x1[1] (analytic) = 2.0010848987502565126406425441156
x1[1] (numeric) = 2.0010848553843006533910934873425
absolute error = 4.33659558592495490567731e-08
relative error = 2.1671222388581822840210093836901e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007313662315431659069842341678
x2[1] (numeric) = 1.0007313880804012299899292649194
absolute error = 2.18488580640829450307516e-08
relative error = 2.1832890225435072959484626051153e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=343.3MB, alloc=4.6MB, time=24.81
NO POLE
NO POLE
t[1] = 0.5064
x1[1] (analytic) = 2.0010847902658057999287229880316
x1[1] (numeric) = 2.0010847455122135518576447736587
absolute error = 4.47535922480710782143729e-08
relative error = 2.2364665638244354640395290426295e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007314582717677434375016354202
x2[1] (numeric) = 1.0007314808227475952136767616677
absolute error = 2.25509798517761751262475e-08
relative error = 2.2534496807686069342414009209189e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=347.1MB, alloc=4.6MB, time=25.11
NO POLE
NO POLE
t[1] = 0.5065
x1[1] (analytic) = 2.0010846817922029898839013501196
x1[1] (numeric) = 2.0010846356291213993345827724656
absolute error = 4.61630815905493185776540e-08
relative error = 2.3069029517134144919507460536431e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007315503358267005846277469922
x2[1] (numeric) = 1.0007315736001275546077445900726
absolute error = 2.32643008540231168430804e-08
relative error = 2.3247294288079610066050942364040e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=350.9MB, alloc=4.6MB, time=25.40
memory used=354.7MB, alloc=4.6MB, time=25.70
NO POLE
NO POLE
t[1] = 0.5066
x1[1] (analytic) = 2.0010845733294469977701486259847
x1[1] (numeric) = 2.0010845257350230979260275812894
absolute error = 4.75944238998441210446953e-08
relative error = 2.3784314033592047582241785653899e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007316424237242622787494400674
x2[1] (numeric) = 1.0007316664125497634519689837359
absolute error = 2.39888255011732195436685e-08
relative error = 2.3971287090586472737251208889055e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=358.5MB, alloc=4.6MB, time=26.00
NO POLE
NO POLE
t[1] = 0.5067
x1[1] (analytic) = 2.0010844648775367389599039906329
x1[1] (numeric) = 2.001084415829917549626887680381
absolute error = 4.90476191893330163102519e-08
relative error = 2.4510519196067345623408344998538e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007317345354646543495636810068
x2[1] (numeric) = 1.000731759260022878921462177082
absolute error = 2.47245582245718984960752e-08
relative error = 2.4706479640169432176073415626016e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=362.4MB, alloc=4.6MB, time=26.28
memory used=366.2MB, alloc=4.6MB, time=26.57
NO POLE
NO POLE
t[1] = 0.5068
x1[1] (analytic) = 2.0010843564364711289340639521961
x1[1] (numeric) = 2.00108430591380365632284913272
absolute error = 5.05226674726112148194761e-08
relative error = 2.5247645013117751192730880184588e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007318266710521035262519876743
x2[1] (numeric) = 1.0007318521425555600870077469617
absolute error = 2.54715034565607557592874e-08
relative error = 2.5452876362783479152833427127251e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=370.0MB, alloc=4.6MB, time=26.87
NO POLE
NO POLE
t[1] = 0.5069
x1[1] (analytic) = 2.0010842480062490832819715067401
x1[1] (numeric) = 2.0010841959866803197903647829629
absolute error = 5.20195687634916067237772e-08
relative error = 2.5995691493409405660696823581162e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007319188304908374376549212004
x2[1] (numeric) = 1.0007319450601564679154560349255
absolute error = 2.62296656304778011137251e-08
relative error = 2.6210481685376039169356079510855e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=373.8MB, alloc=4.6MB, time=27.16
NO POLE
NO POLE
t[1] = 0.507
x1[1] (analytic) = 2.0010841395868695177014052941589
x1[1] (numeric) = 2.0010840860485464416966434553363
absolute error = 5.35383230760047618388226e-08
relative error = 2.6754658645716879685459843366800e-06 %
h = 0.0001
x2[1] (analytic) = 1.00073201101378508461244661319
x2[1] (numeric) = 1.0007320380128342652701196501819
absolute error = 2.69990491806576730369919e-08
relative error = 2.6979300035887191284433301814709e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=377.6MB, alloc=4.6MB, time=27.44
memory used=381.4MB, alloc=4.6MB, time=27.73
NO POLE
NO POLE
t[1] = 0.5071
x1[1] (analytic) = 2.0010840311783313479985687551521
x1[1] (numeric) = 2.0010839760994009235996391504746
absolute error = 5.50789304243989296046775e-08
relative error = 2.7524546478923173280793559681221e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007321032209390744793093283805
x2[1] (numeric) = 1.0007321310005976169111690532574
absolute error = 2.77796585424318597248769e-08
relative error = 2.7759335843249886983498671871771e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=385.2MB, alloc=4.6MB, time=28.01
NO POLE
NO POLE
t[1] = 0.5072
x1[1] (analytic) = 2.0010839227806334900880792892867
x1[1] (numeric) = 2.0010838661392426669480402412021
absolute error = 5.66413908231400390480846e-08
relative error = 2.8305355002019715885097135165640e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007321954519570373671080627591
x2[1] (numeric) = 1.0007322240234551894960282203746
absolute error = 2.85714981521289201576155e-08
relative error = 2.8550593537390169092525435718474e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=389.1MB, alloc=4.6MB, time=28.29
memory used=392.9MB, alloc=4.6MB, time=28.59
NO POLE
NO POLE
t[1] = 0.5073
x1[1] (analytic) = 2.0010838143937748599929574141438
x1[1] (numeric) = 2.0010837561680705730812586672595
absolute error = 5.82257042869116987468843e-08
relative error = 2.9097084224106366431452993426271e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007322877068432045050651771445
x2[1] (numeric) = 1.000732317081415651579770388564
absolute error = 2.93745724470747052114195e-08
relative error = 2.9353077549227390736157917222628e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=396.7MB, alloc=4.6MB, time=28.88
NO POLE
NO POLE
t[1] = 0.5074
x1[1] (analytic) = 2.0010837060177543738446159255482
x1[1] (numeric) = 2.001083646185883543229419128975
absolute error = 5.98318708306151967965732e-08
relative error = 2.9899734154391413418735569686214e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007323799856018080229350662418
x2[1] (numeric) = 1.0007324101744876736155138815267
absolute error = 3.01888858655925788152849e-08
relative error = 3.0166792310674434340084245875178e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=400.5MB, alloc=4.6MB, time=29.17
NO POLE
NO POLE
memory used=404.3MB, alloc=4.6MB, time=29.47
t[1] = 0.5075
x1[1] (analytic) = 2.001083597652570947882849058883
x1[1] (numeric) = 2.0010835361926804785133482798789
absolute error = 6.14598904693695007790041e-08
relative error = 3.0713304802191574983772696427543e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007324722882370809511788631756
x2[1] (numeric) = 1.0007325033026799279548180162636
absolute error = 3.10144428470036391530880e-08
relative error = 3.0991742254637930677660528875724e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=408.1MB, alloc=4.6MB, time=29.78
NO POLE
NO POLE
t[1] = 0.5076
x1[1] (analytic) = 2.0010834892982234984558216514875
x1[1] (numeric) = 2.001083426188460279944563918263
absolute error = 6.31097632185112577332245e-08
relative error = 3.1537796176931998974558128503967e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007325646147532572211391795107
x2[1] (numeric) = 1.0007325964660010888480790904882
absolute error = 3.18512478316269399109775e-08
relative error = 3.1827931815018477960793695558531e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=411.9MB, alloc=4.6MB, time=30.07
NO POLE
NO POLE
t[1] = 0.5077
x1[1] (analytic) = 2.0010833809547109420200583061384
x1[1] (numeric) = 2.0010833161732218484252641776835
absolute error = 6.47814890935947941284549e-08
relative error = 3.2373208288146263024515861039013e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007326569651545716652148807651
x2[1] (numeric) = 1.000732689664459832444926450838
absolute error = 3.26993052607797115700729e-08
relative error = 3.2675365426710860975092840098403e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=415.8MB, alloc=4.6MB, time=30.35
memory used=419.6MB, alloc=4.6MB, time=30.66
NO POLE
NO POLE
t[1] = 0.5078
x1[1] (analytic) = 2.0010832726220321951404325556154
x1[1] (numeric) = 2.001083206146964084748316716408
absolute error = 6.64750681103921158392074e-08
relative error = 3.3219541145476374627816493640744e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007327493394452600170358974238
x2[1] (numeric) = 1.0007327828980648367946186419025
absolute error = 3.35586195767775827444787e-08
relative error = 3.3534047525604270259298088815590e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=423.4MB, alloc=4.6MB, time=30.96
NO POLE
NO POLE
t[1] = 0.5079
x1[1] (analytic) = 2.0010831643001861744901560283501
x1[1] (numeric) = 2.0010830961096858895972479058062
absolute error = 6.81905002848929081225439e-08
relative error = 3.4076794758672771215745294788236e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007328417376295589116380714609
x2[1] (numeric) = 1.0007328761668247818464396360824
absolute error = 3.44291952229348015646215e-08
relative error = 3.4403982548582521328993619950966e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=427.2MB, alloc=4.6MB, time=31.25
memory used=431.0MB, alloc=4.6MB, time=31.55
NO POLE
NO POLE
t[1] = 0.508
x1[1] (analytic) = 2.0010830559891717968507676151575
x1[1] (numeric) = 2.0010829860613861635462320176843
absolute error = 6.99277856333045355974732e-08
relative error = 3.4944969137594320234121620244129e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007329341597117058856380383748
x2[1] (numeric) = 1.000732969470748349450095144298
absolute error = 3.53110366435644571059232e-08
relative error = 3.5285174933524273944617559111510e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=434.8MB, alloc=4.6MB, time=31.85
NO POLE
NO POLE
t[1] = 0.5081
x1[1] (analytic) = 2.0010829476889879791121226370521
x1[1] (numeric) = 2.0010828760020638070600804105629
absolute error = 7.16869241720520422264892e-08
relative error = 3.5824064292208319221770788561939e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007330266056959393774081447462
x2[1] (numeric) = 1.0007330628098442233561090075617
absolute error = 3.62041482839787008628155e-08
relative error = 3.6177629119303251423773479237501e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=438.7MB, alloc=4.6MB, time=32.15
NO POLE
NO POLE
t[1] = 0.5082
x1[1] (analytic) = 2.0010828393996336382723820141458
x1[1] (numeric) = 2.0010827659317177204942307148985
absolute error = 7.34679159177781512992473e-08
relative error = 3.6714080232590495890046968136521e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007331190755864987272514013242
x2[1] (numeric) = 1.0007331561841210892162196694315
absolute error = 3.71085345904889682681073e-08
relative error = 3.7081349545788459997854629051986e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=442.5MB, alloc=4.6MB, time=32.44
memory used=446.3MB, alloc=4.6MB, time=32.74
NO POLE
NO POLE
t[1] = 0.5083
x1[1] (analytic) = 2.00108273112110769143800143563
x1[1] (numeric) = 2.0010826558503468040947360172484
absolute error = 7.52707608873432654183816e-08
relative error = 3.7615016968925008203408378756677e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007332115693876241775764716484
x2[1] (numeric) = 1.0007332495935876345837767293623
absolute error = 3.80242000104062002577139e-08
relative error = 3.7996340653844408212989315723888e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=450.1MB, alloc=4.6MB, time=33.03
NO POLE
NO POLE
t[1] = 0.5084
x1[1] (analytic) = 2.0010826228534090558237205308397
x1[1] (numeric) = 2.0010825457579499579982540433786
absolute error = 7.70954590978254664874611e-08
relative error = 3.8526874511504444461043911809050e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007333040871035568730726962129
x2[1] (numeric) = 1.0007333430382525489141375769705
absolute error = 3.89511489920410648807576e-08
relative error = 3.8922606885331326375316566757833e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=453.9MB, alloc=4.6MB, time=33.32
memory used=457.7MB, alloc=4.6MB, time=33.63
NO POLE
NO POLE
t[1] = 0.5085
x1[1] (analytic) = 2.0010825145965366487525520414014
x1[1] (numeric) = 2.0010824356545260822320363403151
absolute error = 7.89420105665205157010863e-08
relative error = 3.9449652870729823379551872415735e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007333966287385388608851521817
x2[1] (numeric) = 1.0007334365181245235650641072287
absolute error = 3.98893859847041789550470e-08
relative error = 3.9860152683105386040598897603221e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=461.5MB, alloc=4.6MB, time=33.92
NO POLE
NO POLE
t[1] = 0.5086
x1[1] (analytic) = 2.0010824063504893876557709944627
x1[1] (numeric) = 2.0010823255400740767139174573385
absolute error = 8.08104153109418535371242e-08
relative error = 4.0383352057110594176669847707204e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007334891942968130907897486592
x2[1] (numeric) = 1.000733530033212251797119516607
absolute error = 4.08389154387063297679478e-08
relative error = 4.0808982491018919548184507239656e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=465.4MB, alloc=4.6MB, time=34.22
NO POLE
NO POLE
t[1] = 0.5087
x1[1] (analytic) = 2.0010822981152661900729038770055
x1[1] (numeric) = 2.0010822154145928412523041259208
absolute error = 8.27006733488205997510847e-08
relative error = 4.1327972081264636656057204078781e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007335817837826234153683575261
x2[1] (numeric) = 1.0007336235835244287740651801764
absolute error = 4.17997418053586968226503e-08
relative error = 4.1769100753920639599323629358158e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=469.2MB, alloc=4.6MB, time=34.51
memory used=473.0MB, alloc=4.6MB, time=34.81
NO POLE
NO POLE
t[1] = 0.5088
x1[1] (analytic) = 2.0010821898908659736517178112409
x1[1] (numeric) = 2.001082105278081275546164438606
absolute error = 8.46127846981055533726349e-08
relative error = 4.2283512953918261293128468036515e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007336743972002145901839798449
x2[1] (numeric) = 1.000733717169069751563257609692
absolute error = 4.27718695369730736298471e-08
relative error = 4.2740511917655858879852060469785e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=476.8MB, alloc=4.6MB, time=35.10
NO POLE
NO POLE
t[1] = 0.5089
x1[1] (analytic) = 2.0010820816772876561482097310871
x1[1] (numeric) = 2.0010819951305382791850170268329
absolute error = 8.65467493769631927042542e-08
relative error = 4.3249974685906209321939043506320e-06 %
h = 0.0001
x2[1] (analytic) = 1.000733767034553832273955947845
x2[1] (numeric) = 1.0007338107898569191360454926709
absolute error = 4.37553030868620895448259e-08
relative error = 4.3723220429066709727246292369598e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=480.6MB, alloc=4.6MB, time=35.40
memory used=484.4MB, alloc=4.6MB, time=35.69
NO POLE
NO POLE
t[1] = 0.509
x1[1] (analytic) = 2.0010819734745301554265955597291
x1[1] (numeric) = 2.0010818849719627516489202377008
absolute error = 8.85025674037776753220283e-08
relative error = 4.4227357288171652823122319777927e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007338596958477230287351624915
x2[1] (numeric) = 1.0007339044458946323681668124826
absolute error = 4.47500469093394316499911e-08
relative error = 4.4717230735992363842063469727913e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=488.2MB, alloc=4.6MB, time=35.99
NO POLE
NO POLE
t[1] = 0.5091
x1[1] (analytic) = 2.0010818652825923894592993882611
x1[1] (numeric) = 2.0010817748023535923084613096774
absolute error = 9.04802387971508380785837e-08
relative error = 4.5215660771766194812878973307819e-06 %
h = 0.0001
x2[1] (analytic) = 1.000733952381086134320079366647
x2[1] (numeric) = 1.0007339981371915940401460494667
absolute error = 4.57561054597200666828197e-08
relative error = 4.5722547287269252043771199385040e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=492.1MB, alloc=4.6MB, time=36.28
NO POLE
NO POLE
t[1] = 0.5092
x1[1] (analytic) = 2.0010817571014732763269426554107
x1[1] (numeric) = 2.0010816646217097004247455472497
absolute error = 9.24797635759021971081610e-08
relative error = 4.6214885147849869333017617497009e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007340450902733145172284538324
x2[1] (numeric) = 1.0007340918637565088376914630957
absolute error = 4.67734831943204630092633e-08
relative error = 4.6739174532731284070978533101140e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=495.9MB, alloc=4.6MB, time=36.77
memory used=499.7MB, alloc=4.6MB, time=37.50
NO POLE
NO POLE
t[1] = 0.5093
x1[1] (analytic) = 2.001081648931171734218333328345
x1[1] (numeric) = 2.001081554430029975149385494517
absolute error = 9.45011417590689478338280e-08
relative error = 4.7225030427691141542047303828645e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007341378234135128932798125935
x2[1] (numeric) = 1.0007341856255980833520924551983
absolute error = 4.78021845704588126426048e-08
relative error = 4.7767116923210068426076247652005e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=503.5MB, alloc=4.6MB, time=38.23
NO POLE
NO POLE
t[1] = 0.5094
x1[1] (analytic) = 2.0010815407716866814304550845588
x1[1] (numeric) = 2.0010814442273133155244901077262
absolute error = 9.65443733659059649768326e-08
relative error = 4.8246096622666907807321878020169e-06 %
h = 0.0001
x2[1] (analytic) = 1.000734230580510979625363706482
x2[1] (numeric) = 1.00073427942272502608061701426
absolute error = 4.88422140464552533077780e-08
relative error = 4.8806378910535132264294146248903e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=507.3MB, alloc=4.6MB, time=38.92
memory used=511.1MB, alloc=4.6MB, time=39.63
NO POLE
NO POLE
t[1] = 0.5095
x1[1] (analytic) = 2.0010814326230170363684564948442
x1[1] (numeric) = 2.001081334013558620482653926749
absolute error = 9.86094584158858025680952e-08
relative error = 4.9278083744262495798236044925118e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007343233615699657948186896566
x2[1] (numeric) = 1.0007343732551460474269092408173
absolute error = 4.98935760816320905511607e-08
relative error = 4.9856964947534141327185503293835e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=514.9MB, alloc=4.6MB, time=40.33
NO POLE
NO POLE
t[1] = 0.5096
x1[1] (analytic) = 2.0010813244851617175456402073423
x1[1] (numeric) = 2.0010812237887647888469462455018
absolute error = 1.006963969286986939618405e-07
relative error = 5.0320991804071664580473095864766e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007344161665947233873670581104
x2[1] (numeric) = 1.0007344671228698597013869539618
absolute error = 5.09562751363140198958514e-08
relative error = 5.0918879488033119920548274640785e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=518.8MB, alloc=4.6MB, time=41.01
NO POLE
NO POLE
t[1] = 0.5097
x1[1] (analytic) = 2.0010812163581196435834521326761
x1[1] (numeric) = 2.0010811135529307193309002813069
absolute error = 1.028051889242525518513692e-07
relative error = 5.1374820813796604711304551907059e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007345089955895052932903365348
x2[1] (numeric) = 1.0007345610259051771216393789707
absolute error = 5.20303156718283490424359e-08
relative error = 5.1992126986856670936788898114983e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=522.6MB, alloc=4.6MB, time=41.67
memory used=526.4MB, alloc=4.6MB, time=42.36
NO POLE
NO POLE
t[1] = 0.5098
x1[1] (analytic) = 2.0010811082418897332114706301652
x1[1] (numeric) = 2.0010810033060553105385023431959
absolute error = 1.049358344226729682869693e-07
relative error = 5.2439570785247938335941576825665e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007346018485585653076048008237
x2[1] (numeric) = 1.0007346549642607158128249160798
absolute error = 5.31157021505052201152561e-08
relative error = 5.3076711899828195921740504433488e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=530.2MB, alloc=4.6MB, time=43.02
NO POLE
NO POLE
t[1] = 0.5099
x1[1] (analytic) = 2.001081000136470905267395695121
x1[1] (numeric) = 2.0010808930481374609641809991549
absolute error = 1.070883334443032146959661e-07
relative error = 5.3515241730344719284937713633361e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007346947255061581302370362269
x2[1] (numeric) = 1.0007347489379451938080689904159
absolute error = 5.42124390356778319541890e-08
relative error = 5.4172638683770115185943061617752e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=534.0MB, alloc=4.6MB, time=43.69
memory used=537.8MB, alloc=4.6MB, time=44.37
NO POLE
NO POLE
t[1] = 0.51
x1[1] (analytic) = 2.0010808920418620786970381472244
x1[1] (numeric) = 2.0010807827791760689927962423111
absolute error = 1.092626860097042419049133e-07
relative error = 5.4601833661114433172644147691658e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007347876264365393661995311595
x2[1] (numeric) = 1.0007348429469673310488619831043
absolute error = 5.53205307916826624519448e-08
relative error = 5.5279911796504087960393875122002e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=541.7MB, alloc=4.6MB, time=45.06
NO POLE
NO POLE
t[1] = 0.5101
x1[1] (analytic) = 2.0010807839580621725543088199833
x1[1] (numeric) = 2.0010806724991700328996286560612
absolute error = 1.114588921396546801639221e-07
relative error = 5.5699346589692997496715950883794e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007348805513539655257663066733
x2[1] (numeric) = 1.0007349369913358493854572435686
absolute error = 5.64399818838596909368953e-08
relative error = 5.6398535696851232596779164005468e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=545.5MB, alloc=4.6MB, time=45.79
NO POLE
NO POLE
memory used=549.3MB, alloc=4.6MB, time=46.56
t[1] = 0.5102
x1[1] (analytic) = 2.0010806758850701060012077512722
x1[1] (numeric) = 2.0010805622081182508503685781414
absolute error = 1.136769518551508391731308e-07
relative error = 5.6807780528324761738670559824544e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007349735002626940246485815996
x2[1] (numeric) = 1.0007350310710594725772691830381
absolute error = 5.75707967785526206014385e-08
relative error = 5.7528514844632346812192137160114e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=553.1MB, alloc=4.6MB, time=47.28
NO POLE
NO POLE
t[1] = 0.5103
x1[1] (analytic) = 2.0010805678228847983078133749517
x1[1] (numeric) = 2.0010804519060196209011052636381
absolute error = 1.159168651774067081113136e-07
relative error = 5.7927135489362507465497842106232e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007350664731669831841704733677
x2[1] (numeric) = 1.0007351251861469262932714492807
absolute error = 5.87129799431091009759130e-08
relative error = 5.8669853700668127978350687745122e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=556.9MB, alloc=4.6MB, time=48.00
NO POLE
NO POLE
t[1] = 0.5104
x1[1] (analytic) = 2.0010804597715051688522717135698
x1[1] (numeric) = 2.0010803415928730409983160469407
absolute error = 1.181786321278539556666291e-07
relative error = 5.9057411485267448432322004093262e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007351594700710922314447345081
x2[1] (numeric) = 1.0007352193366069381123951825761
absolute error = 5.98665358458809504480680e-08
relative error = 5.9822556726779393455320029498569e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=560.7MB, alloc=4.6MB, time=48.71
memory used=564.5MB, alloc=4.6MB, time=49.45
NO POLE
NO POLE
t[1] = 0.5105
x1[1] (analytic) = 2.0010803517309301371207855721428
x1[1] (numeric) = 2.001080231268677408978855502635
absolute error = 1.204622527281419300695078e-07
relative error = 6.0198608528609230686114994100906e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007352524909792812995485248474
x2[1] (numeric) = 1.0007353135224482375239273529469
absolute error = 6.10314689562243788280995e-08
relative error = 6.0986628385787300969750394865237e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=568.4MB, alloc=4.6MB, time=50.16
NO POLE
NO POLE
t[1] = 0.5106
x1[1] (analytic) = 2.0010802437011586227076037330177
x1[1] (numeric) = 2.0010801209334316225699446053378
absolute error = 1.227677270001376591276799e-07
relative error = 6.1350726632065932670462054253282e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007353455358958114276992194
x2[1] (numeric) = 1.0007354077436795559279091786635
absolute error = 6.22077837445002099592635e-08
relative error = 6.2162073141513569037640114524144e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=572.2MB, alloc=4.6MB, time=50.87
NO POLE
NO POLE
memory used=576.0MB, alloc=4.6MB, time=51.60
t[1] = 0.5107
x1[1] (analytic) = 2.0010801356821895453150101518146
x1[1] (numeric) = 2.0010800105871345793891598884725
absolute error = 1.250950549659258502633421e-07
relative error = 6.2513765808424065331378775016785e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007354386048249445614302519671
x2[1] (numeric) = 1.000735502000309626635534626039
absolute error = 6.33954846820741043740719e-08
relative error = 6.3348895458780697431629301438182e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=579.8MB, alloc=4.6MB, time=52.34
NO POLE
NO POLE
t[1] = 0.5108
x1[1] (analytic) = 2.0010800276740218247533131544496
x1[1] (numeric) = 2.0010799002297851769444226019857
absolute error = 1.274442366478088905524639e-07
relative error = 6.3687726070578572224179905918472e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007355316977709435527669944466
x2[1] (numeric) = 1.0007355962923471848695489905311
absolute error = 6.45945762413167819960845e-08
relative error = 6.4547099803412187692837056684159e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=583.6MB, alloc=4.6MB, time=53.05
NO POLE
NO POLE
t[1] = 0.5109
x1[1] (analytic) = 2.0010799196766543809408346352376
x1[1] (numeric) = 2.001079789861382312633987869004
absolute error = 1.298152720683068467662336e-07
relative error = 6.4872607431532829621400026039204e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007356248147380721604026718635
x2[1] (numeric) = 1.0007356906198009677646475591668
absolute error = 6.58050628956042448873033e-08
relative error = 6.5756690642232763687247919402841e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=587.4MB, alloc=4.6MB, time=53.76
memory used=591.2MB, alloc=4.6MB, time=54.48
NO POLE
NO POLE
t[1] = 0.511
x1[1] (analytic) = 2.0010798116900861339038992560756
x1[1] (numeric) = 2.0010796794819248837464338414323
absolute error = 1.322081612501574654146433e-07
relative error = 6.6068409904398646621765728113514e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007357179557305950498743131264
x2[1] (numeric) = 1.0007357849826797143678743543071
absolute error = 6.70269491193180000411807e-08
relative error = 6.6977672443068592206658679033252e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=595.1MB, alloc=4.6MB, time=55.20
NO POLE
NO POLE
t[1] = 0.5111
x1[1] (analytic) = 2.0010797037143160037768236467064
x1[1] (numeric) = 2.0010795690914117874606508544918
absolute error = 1.346229042163161727922146e-07
relative error = 6.7275133502396265260220169419809e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007358111207527777937387375181
x2[1] (numeric) = 1.0007358793809921656390209587671
absolute error = 6.82602393878452822212490e-08
relative error = 6.8210049674747503614192470873702e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=598.9MB, alloc=4.6MB, time=55.91
memory used=602.7MB, alloc=4.6MB, time=56.62
NO POLE
NO POLE
t[1] = 0.5112
x1[1] (analytic) = 2.0010795957493429108019056060611
x1[1] (numeric) = 2.0010794586898419208458305801991
absolute error = 1.370595009899560750258620e-07
relative error = 6.8492778238854360618998493912049e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007359043098088868717485769266
x2[1] (numeric) = 1.0007359738147470644510254223087
absolute error = 6.95049381775792768453821e-08
relative error = 6.9453826807099212534390573231644e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=606.5MB, alloc=4.6MB, time=57.34
NO POLE
NO POLE
t[1] = 0.5113
x1[1] (analytic) = 2.0010794877951657753294133046823
x1[1] (numeric) = 2.0010793482772141808614551797853
absolute error = 1.395179515944679581248970e-07
relative error = 6.9721344127210040939755628424230e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007359975229031896710283338247
x2[1] (numeric) = 1.0007360682839531555903712495223
absolute error = 7.07610499659193429156976e-08
relative error = 7.0709008310955538587889626200668e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=610.3MB, alloc=4.6MB, time=58.03
NO POLE
NO POLE
t[1] = 0.5114
x1[1] (analytic) = 2.0010793798517835178175744882271
x1[1] (numeric) = 2.0010792378535274643572864550553
absolute error = 1.419982560534602880331718e-07
relative error = 7.0960831181008847736745906884733e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007360907600399544862504750041
x2[1] (numeric) = 1.0007361627886191857574864691132
absolute error = 7.20285792312712359941091e-08
relative error = 7.1975598658150627170693590718693e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=614.1MB, alloc=4.6MB, time=58.80
memory used=617.9MB, alloc=4.6MB, time=59.59
NO POLE
NO POLE
t[1] = 0.5115
x1[1] (analytic) = 2.0010792719191950588325656820488
x1[1] (numeric) = 2.0010791274187806680733549986878
absolute error = 1.445004143907592106833610e-07
relative error = 7.2211239413904755911053726611531e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007361840212234505198115610715
x2[1] (numeric) = 1.0007362573287539035671427846103
absolute error = 7.33075304530473312235388e-08
relative error = 7.3253602321521170278050066131916e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=621.8MB, alloc=4.6MB, time=60.31
NO POLE
NO POLE
t[1] = 0.5116
x1[1] (analytic) = 2.0010791639973993190485013968591
x1[1] (numeric) = 2.0010790169729726886399493434744
absolute error = 1.470244266304085520533847e-07
relative error = 7.3472568839660173865876939409819e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007362773064579478820084117144
x2[1] (numeric) = 1.0007363519043660595488548065124
absolute error = 7.45979081116668463947980e-08
relative error = 7.4543023774906627372938086119268e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=625.6MB, alloc=4.6MB, time=61.01
memory used=629.4MB, alloc=4.6MB, time=61.68
NO POLE
NO POLE
t[1] = 0.5117
x1[1] (analytic) = 2.001079056086395219247423335469
x1[1] (numeric) = 2.0010789065161024225776051104997
absolute error = 1.495702927966698182249693e-07
relative error = 7.4744819472145943622861132108073e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007363706157477175912143067433
x2[1] (numeric) = 1.0007364465154644061472793658893
absolute error = 7.58997166885560650591460e-08
relative error = 7.5843867493149446299177410491011e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=633.2MB, alloc=4.6MB, time=62.35
NO POLE
NO POLE
t[1] = 0.5118
x1[1] (analytic) = 2.0010789481861816803192896006095
x1[1] (numeric) = 2.0010787960481687662970941562605
absolute error = 1.521380129140221954443490e-07
relative error = 7.6027991325341340939486299360650e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007364639490970315740552229161
x2[1] (numeric) = 1.000736541162057697722614909454
absolute error = 7.72129606661485596865379e-08
relative error = 7.7156137952095284239169330165666e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=637.0MB, alloc=4.6MB, time=63.02
NO POLE
NO POLE
t[1] = 0.5119
x1[1] (analytic) = 2.0010788402967576232619639038308
x1[1] (numeric) = 2.0010786855691706160994137187248
absolute error = 1.547275870071625501851060e-07
relative error = 7.7322084413334075427504912892877e-06 %
h = 0.0001
x2[1] (analytic) = 1.000736557306510162665586106555
x2[1] (numeric) = 1.000736635844154690551000976122
absolute error = 7.85376445278854148695670e-08
relative error = 7.8479839628593228716274205952302e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=640.8MB, alloc=4.6MB, time=63.67
memory used=644.6MB, alloc=4.6MB, time=64.34
NO POLE
NO POLE
t[1] = 0.512
x1[1] (analytic) = 2.001078732418121969181204775481
x1[1] (numeric) = 2.001078575079106868175775562331
absolute error = 1.573390151010054292131500e-07
relative error = 7.8627098750320290672431690662542e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007366506879913846094671819592
x2[1] (numeric) = 1.0007367305617641428249177550746
absolute error = 7.98737727582154505731154e-08
relative error = 7.9814977000496018641838855744397e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=648.5MB, alloc=4.6MB, time=65.02
NO POLE
NO POLE
t[1] = 0.5121
x1[1] (analytic) = 2.0010786245502736392906547757639
x1[1] (numeric) = 2.0010784645779764186075951219259
absolute error = 1.599722972206830596538380e-07
relative error = 7.9943034350604564354085569303351e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007367440935449720581402956235
x2[1] (numeric) = 1.0007368253148948146535857253429
absolute error = 8.12213498425954454297194e-08
relative error = 8.1161554546660265406879909672224e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=652.3MB, alloc=4.6MB, time=65.68
memory used=656.1MB, alloc=4.6MB, time=66.35
NO POLE
NO POLE
t[1] = 0.5122
x1[1] (analytic) = 2.0010785166932115549118297068753
x1[1] (numeric) = 2.0010783540657781633664806456429
absolute error = 1.626274333915453490612324e-07
relative error = 8.1269891228599908368182884023863e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007368375231752005730052962683
x2[1] (numeric) = 1.0007369201035554680633653769281
absolute error = 8.25803802674903600806598e-08
relative error = 8.2519576746946674018432749977058e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=659.9MB, alloc=4.6MB, time=67.01
NO POLE
NO POLE
t[1] = 0.5123
x1[1] (analytic) = 2.0010784088469346374741078262181
x1[1] (numeric) = 2.0010782435425109983142223367188
absolute error = 1.653044236391598854894993e-07
relative error = 8.2607669398827768948982709083357e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007369309768863466245964506885
x2[1] (numeric) = 1.0007370149277548669981570134755
absolute error = 8.39508685203735605627870e-08
relative error = 8.3889048082220264280575452307933e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=663.7MB, alloc=4.6MB, time=67.66
NO POLE
NO POLE
t[1] = 0.5124
x1[1] (analytic) = 2.0010783010114418085147190606961
x1[1] (numeric) = 2.0010781330081738192027814942504
absolute error = 1.680032679893119375664457e-07
relative error = 8.3956368875918026792983712827951e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007370244546826875927588954287
x2[1] (numeric) = 1.000737109787501777319800636518
absolute error = 8.53328190897270417410893e-08
relative error = 8.5269973034350592020135646036783e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=667.5MB, alloc=4.6MB, time=68.32
memory used=671.4MB, alloc=4.6MB, time=69.03
NO POLE
NO POLE
t[1] = 0.5125
x1[1] (analytic) = 2.0010781931867319896787342220863
x1[1] (numeric) = 2.0010780224627655216742796528899
absolute error = 1.707239664680044545691964e-07
relative error = 8.5315989674608997183672930703552e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007371179565685017668251242912
x2[1] (numeric) = 1.0007372046828049668084759113058
absolute error = 8.67262364650416507870146e-08
relative error = 8.6662356086211970357090009653439e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=675.2MB, alloc=4.6MB, time=69.72
NO POLE
NO POLE
t[1] = 0.5126
x1[1] (analytic) = 2.0010780853728041027190542234896
x1[1] (numeric) = 2.0010779119062850012609877214797
absolute error = 1.734665191014580665020099e-07
relative error = 8.6686531809747430117326110065734e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007372114825480683457915116847
x2[1] (numeric) = 1.0007372996136732051631022142388
absolute error = 8.81311251368173107025541e-08
relative error = 8.8066201721683691019664518270502e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=679.0MB, alloc=4.6MB, time=70.37
memory used=682.8MB, alloc=4.6MB, time=71.04
NO POLE
NO POLE
t[1] = 0.5127
x1[1] (analytic) = 2.0010779775696570694963992968598
x1[1] (numeric) = 2.0010778013387311533853151206255
absolute error = 1.762309259161110841762343e-07
relative error = 8.8067995296288510429860130147852e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007373050326256674384948718207
x2[1] (numeric) = 1.0007373945801152640017387619185
absolute error = 8.95474895965632438900978e-08
relative error = 8.9481514425650245704144759175127e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=686.6MB, alloc=4.6MB, time=71.72
NO POLE
NO POLE
t[1] = 0.5128
x1[1] (analytic) = 2.0010778697772898119792982116108
x1[1] (numeric) = 2.0010776907601028733597989192091
absolute error = 1.790171869386194992924017e-07
relative error = 8.9460380149295857924736751221534e-06 %
h = 0.0001
x2[1] (analytic) = 1.000737398606805580063789053763
x2[1] (numeric) = 1.0007374895821399168619848218348
absolute error = 9.09753343367981957680718e-08
relative error = 9.0908298684001547479405831007632e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=690.4MB, alloc=4.6MB, time=72.40
NO POLE
NO POLE
memory used=694.2MB, alloc=4.6MB, time=73.05
t[1] = 0.5129
x1[1] (analytic) = 2.0010777619957012522440774943018
x1[1] (numeric) = 2.0010775801703990563870929698392
absolute error = 1.818253021958569845244626e-07
relative error = 9.0863686383941527501918446174731e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007374922050920881507215723405
x2[1] (numeric) = 1.0007375846197559392013800047057
absolute error = 9.24146638510506584323652e-08
relative error = 9.2346558983633152236169143557594e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=698.1MB, alloc=4.6MB, time=73.73
NO POLE
NO POLE
t[1] = 0.513
x1[1] (analytic) = 2.0010776542248903124748506494008
x1[1] (numeric) = 2.0010774695696185975599570432411
absolute error = 1.846552717149148936061597e-07
relative error = 9.2277914015506009287876018297569e-06 %
h = 0.0001
x2[1] (analytic) = 1.000737585827489474538710274928
x2[1] (numeric) = 1.0007376796929721083978046384852
absolute error = 9.38654826338590943635572e-08
relative error = 9.3796299812446480180996232896243e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=701.9MB, alloc=4.6MB, time=74.40
NO POLE
NO POLE
t[1] = 0.5131
x1[1] (analytic) = 2.0010775464648559149635073811254
x1[1] (numeric) = 2.0010773589577603918612459615852
absolute error = 1.875070955231022614195402e-07
relative error = 9.3703063059378228766647559146221e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007376794740020229777200441028
x2[1] (numeric) = 1.0007377748017972037498802240562
absolute error = 9.53277951807721601799534e-08
relative error = 9.5257525659349037375028107532364e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=705.7MB, alloc=4.6MB, time=75.05
memory used=709.5MB, alloc=4.6MB, time=75.73
NO POLE
NO POLE
t[1] = 0.5132
x1[1] (analytic) = 2.0010774387155969821097028163619
x1[1] (numeric) = 2.0010772483348233341638987307533
absolute error = 1.903807736479458040856086e-07
relative error = 9.5139133531055546911949749573290e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007377731446340181284395361842
x2[1] (numeric) = 1.0007378699462400064773699726254
absolute error = 9.68016059883489304364412e-08
relative error = 9.6730241014254637317479540405820e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=713.3MB, alloc=4.6MB, time=76.38
NO POLE
NO POLE
t[1] = 0.5133
x1[1] (analytic) = 2.0010773309771124364208467286617
x1[1] (numeric) = 2.0010771377008063192309276715439
absolute error = 1.932763061171899190571178e-07
relative error = 9.6586125446143760320340408143584e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007378668393897455624579556642
x2[1] (numeric) = 1.0007379651263092997215794248356
absolute error = 9.82869195541591214691714e-08
relative error = 9.8214450368083622573894923386767e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=717.1MB, alloc=4.6MB, time=77.03
NO POLE
NO POLE
memory used=720.9MB, alloc=4.6MB, time=77.69
t[1] = 0.5134
x1[1] (analytic) = 2.0010772232494012005120927633155
x1[1] (numeric) = 2.0010770270557082417154075498154
absolute error = 1.961936929587966852135001e-07
relative error = 9.8044038820357101345433090130075e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007379605582734917624418655334
x2[1] (numeric) = 1.0007380603420138685457571516135
absolute error = 9.97837403767833152860801e-08
relative error = 9.9710158212763086449179295578747e-06 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=724.8MB, alloc=4.6MB, time=78.35
NO POLE
NO POLE
t[1] = 0.5135
x1[1] (analytic) = 2.001077115532462197106327663505
x1[1] (numeric) = 2.0010769163995279961604647055674
absolute error = 1.991329342009458629579376e-07
relative error = 9.9512873669518238233163490849703e-06 %
h = 0.0001
x2[1] (analytic) = 1.0007380543012895441223120335135
x2[1] (numeric) = 1.0007381555933624999354955367677
absolute error = 1.012920729558131835032542e-07
relative error = 1.0121736904122709470540736447446e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=728.6MB, alloc=4.6MB, time=79.02
NO POLE
NO POLE
t[1] = 0.5136
x1[1] (analytic) = 2.0010770078262943490341604975312
x1[1] (numeric) = 2.0010768057322644769992661809601
absolute error = 2.020940298720348943165711e-07
relative error = 1.0099263000955827525810720720551e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007381480684421909474203141999
x2[1] (numeric) = 1.0007382508803639827991316413549
absolute error = 1.028119217918517113271550e-07
relative error = 1.0273608734741690732442453054696e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=732.4MB, alloc=4.6MB, time=79.70
memory used=736.2MB, alloc=4.6MB, time=80.39
NO POLE
NO POLE
t[1] = 0.5137
x1[1] (analytic) = 2.0010769001308965792339118871211
x1[1] (numeric) = 2.0010766950539165785550088472716
absolute error = 2.050769800006789030398495e-07
relative error = 1.0248330785651675286084986052020e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007382418597357214547265671233
x2[1] (numeric) = 1.0007383462030271079681481498299
absolute error = 1.043432913865134215827066e-07
relative error = 1.0426631762628120031524613139815e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=740.0MB, alloc=4.6MB, time=81.06
NO POLE
NO POLE
t[1] = 0.5138
x1[1] (analytic) = 2.0010767924462678107516032368107
x1[1] (numeric) = 2.0010765843644831950409085307932
absolute error = 2.080817846157106947060175e-07
relative error = 1.0398490722654164778640848487620e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007383356751744257729756107372
x2[1] (numeric) = 1.0007384415613606681975743979962
absolute error = 1.058861862424245987872590e-07
relative error = 1.0580806437377628756626431901759e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=743.8MB, alloc=4.6MB, time=81.76
memory used=747.6MB, alloc=4.6MB, time=82.47
NO POLE
NO POLE
t[1] = 0.5139
x1[1] (analytic) = 2.0010766847724069667409459644048
x1[1] (numeric) = 2.001076473663963220560189137662
absolute error = 2.111084437461807568267428e-07
relative error = 1.0549742813588937322370478426116e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007384295147625949428742123378
x2[1] (numeric) = 1.0007385369553734581663874827738
absolute error = 1.074406108632235132704360e-07
relative error = 1.0736133208686634274227218334568e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=751.5MB, alloc=4.6MB, time=83.15
NO POLE
NO POLE
t[1] = 0.514
x1[1] (analytic) = 2.0010765771093129704633307325147
x1[1] (numeric) = 2.0010763629523555491060717776316
absolute error = 2.141569574213572589548831e-07
relative error = 1.0702087060092477894609041205969e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007385233785045209172681139251
x2[1] (numeric) = 1.0007386323850742744779134538008
absolute error = 1.090065697535606453398757e-07
relative error = 1.0892612526352362122631243682165e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=755.3MB, alloc=4.6MB, time=83.87
NO POLE
NO POLE
t[1] = 0.5141
x1[1] (analytic) = 2.0010764694569847452878166811719
x1[1] (numeric) = 2.0010762522296590745617638867801
absolute error = 2.172273256707260527943918e-07
relative error = 1.0855523463812115145292372680776e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007386172664044965613190940097
x2[1] (numeric) = 1.0007387278504719156602285868848
absolute error = 1.105840674190989094928751e-07
relative error = 1.1050244840272868210636167165660e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=759.1MB, alloc=4.6MB, time=84.59
memory used=762.9MB, alloc=4.6MB, time=85.32
NO POLE
NO POLE
t[1] = 0.5142
x1[1] (analytic) = 2.0010763618154212146911206615185
x1[1] (numeric) = 2.0010761414958726907004483491555
absolute error = 2.203195485239906723123630e-07
relative error = 1.1010052026406021411219832766847e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007387111784668156526820653746
x2[1] (numeric) = 1.0007388233515751821665607393214
absolute error = 1.121731083665138786739468e-07
relative error = 1.1209030600447061020685770394247e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=766.7MB, alloc=4.6MB, time=86.02
NO POLE
NO POLE
t[1] = 0.5143
x1[1] (analytic) = 2.0010762541846213022576064705744
x1[1] (numeric) = 2.0010760307509952911852726173584
absolute error = 2.234336260110723338532160e-07
relative error = 1.1165672749543212730422347319428e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007388051146957728816822087987
x2[1] (numeric) = 1.0007389188883928763756907870956
absolute error = 1.137736971034940085782969e-07
relative error = 1.1368970256974723816507861768629e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=770.5MB, alloc=4.6MB, time=86.73
memory used=774.4MB, alloc=4.6MB, time=87.47
NO POLE
NO POLE
t[1] = 0.5144
x1[1] (analytic) = 2.0010761465645839316792740870813
x1[1] (numeric) = 2.0010759199950257695693378320622
absolute error = 2.265695581621099362550191e-07
relative error = 1.1322385634903548856635628704825e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007388990750956638514921427486
x2[1] (numeric) = 1.000739014460933802592354143983
absolute error = 1.153858381387408620012344e-07
relative error = 1.1530064260056536855238332076215e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=778.2MB, alloc=4.6MB, time=88.18
NO POLE
NO POLE
t[1] = 0.5145
x1[1] (analytic) = 2.001076038955308026755748908422
x1[1] (numeric) = 2.0010758092279630192956879404698
absolute error = 2.297273450074600609679522e-07
relative error = 1.1480190684177733273878550443635e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007389930596707850783091290456
x2[1] (numeric) = 1.0007391100692067670476423625675
absolute error = 1.170095359819693332335219e-07
relative error = 1.1692313059994099604032292493076e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=782.0MB, alloc=4.6MB, time=88.90
NO POLE
NO POLE
t[1] = 0.5146
x1[1] (analytic) = 2.0010759313567925113942709886175
x1[1] (numeric) = 2.001075698449805933697298813708
absolute error = 2.329069865776969721749095e-07
relative error = 1.1639087899067313211136741251826e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007390870684254339915323145168
x2[1] (numeric) = 1.0007392057132205778994048171916
absolute error = 1.186447951439078725026748e-07
relative error = 1.1855717107189952961162966378503e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=785.8MB, alloc=4.6MB, time=89.61
memory used=789.6MB, alloc=4.6MB, time=90.33
NO POLE
NO POLE
t[1] = 0.5147
x1[1] (analytic) = 2.0010758237690363096096842773986
x1[1] (numeric) = 2.0010755876605534059970673631585
absolute error = 2.361084829036126169142401e-07
relative error = 1.1799077281284679657151288900464e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007391811013639089339400086348
x2[1] (numeric) = 1.0007393013929840452326504688563
absolute error = 1.202916201362987104602215e-07
relative error = 1.2020276852147601481609535835602e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=793.4MB, alloc=4.6MB, time=91.04
NO POLE
NO POLE
t[1] = 0.5148
x1[1] (analytic) = 2.0010757161920383455244258603549
x1[1] (numeric) = 2.0010754768602043293078006557258
absolute error = 2.393318340162166252046291e-07
relative error = 1.1960158832553067375312684185724e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007392751584905091618669971556
x2[1] (numeric) = 1.0007393971085059810599497120864
absolute error = 1.219500154718980827149308e-07
relative error = 1.2185992745471535607134514455370e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=797.2MB, alloc=4.6MB, time=91.73
memory used=801.1MB, alloc=4.6MB, time=92.45
NO POLE
NO POLE
t[1] = 0.5149
x1[1] (analytic) = 2.0010756086257975433685152001587
x1[1] (numeric) = 2.0010753660487575966322050280414
absolute error = 2.425770399467363101721173e-07
relative error = 1.2122332554606554918659910421764e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007393692398095348453818917602
x2[1] (numeric) = 1.000739492859795199321836303779
absolute error = 1.236199856644764544120188e-07
relative error = 1.2352865237867253900851827190112e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=804.9MB, alloc=4.6MB, time=93.17
NO POLE
NO POLE
t[1] = 0.515
x1[1] (analytic) = 2.0010755010703128274795433788656
x1[1] (numeric) = 2.0010752552262121008628751996054
absolute error = 2.458441007266166681792602e-07
relative error = 1.2285598449190064644984713799056e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007394633453252870684645157082
x2[1] (numeric) = 1.0007395886468605158872093740505
absolute error = 1.253015352288187448583423e-07
relative error = 1.2520894780141285286286248672307e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=808.7MB, alloc=4.6MB, time=93.86
NO POLE
NO POLE
t[1] = 0.5151
x1[1] (analytic) = 2.0010753935255831223026623412902
x1[1] (numeric) = 2.0010751443925667347822833848639
absolute error = 2.491330163875203789564263e-07
relative error = 1.2449956518059362732041054969510e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007395574750420678291833255089
x2[1] (numeric) = 1.0007396844697107485537355190992
absolute error = 1.269946686807245521935903e-07
relative error = 1.2690081823201211290925310934135e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=812.5MB, alloc=4.6MB, time=94.56
memory used=816.3MB, alloc=4.6MB, time=95.27
NO POLE
NO POLE
t[1] = 0.5152
x1[1] (analytic) = 2.0010752859916073523905741394577
x1[1] (numeric) = 2.0010750335478203910627684042231
absolute error = 2.524437869613278057352346e-07
relative error = 1.2615406762981059192859737222357e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007396516289641800398728686198
x2[1] (numeric) = 1.0007397803283547170482509761003
absolute error = 1.286993905370083781074805e-07
relative error = 1.2860426818055688294264321808861e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=820.1MB, alloc=4.6MB, time=95.97
NO POLE
NO POLE
t[1] = 0.5153
x1[1] (analytic) = 2.0010751784683844424035201781305
x1[1] (numeric) = 2.0010749226919719622665247939998
absolute error = 2.557764124801369953841307e-07
relative error = 1.2781949185732607891168181628111e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007397458070959275273112771763
x2[1] (numeric) = 1.0007398762228012430271638801494
absolute error = 1.304157053154998526029731e-07
relative error = 1.3031930215814469780345674875184e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=823.9MB, alloc=4.6MB, time=96.68
memory used=827.8MB, alloc=4.6MB, time=97.41
NO POLE
NO POLE
t[1] = 0.5154
x1[1] (analytic) = 2.0010750709559133171092704614115
x1[1] (numeric) = 2.0010748118250203408455919153079
absolute error = 2.591308929762636785461036e-07
relative error = 1.2949583788102306556915454455297e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007398400094416150328977977625
x2[1] (numeric) = 1.0007399721530591500768566032711
absolute error = 1.321436175350439588055086e-07
relative error = 1.3204592467688428594793072198180e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=831.6MB, alloc=4.6MB, time=98.10
NO POLE
NO POLE
t[1] = 0.5155
x1[1] (analytic) = 2.0010749634541929013831128404207
x1[1] (numeric) = 2.0010747009469644191418430618812
absolute error = 2.625072284822412697785395e-07
relative error = 1.3118310571889296801902362320435e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007399342360055482128303572291
x2[1] (numeric) = 1.0007400681191372637140881755099
absolute error = 1.338831317155012578182808e-07
relative error = 1.3378414024989579206341730766807e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=835.4MB, alloc=4.6MB, time=98.80
NO POLE
NO POLE
t[1] = 0.5156
x1[1] (analytic) = 2.001074855963222120207842262049
x1[1] (numeric) = 2.0010745900578030893869745668319
absolute error = 2.659054190308208676952171e-07
relative error = 1.3288129538903564135516840311336e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007400284867920336382831645653
x2[1] (numeric) = 1.000740164121044411386396788119
absolute error = 1.356342523777481136235537e-07
relative error = 1.3553395339131099972865393691455e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=839.2MB, alloc=4.6MB, time=99.50
memory used=843.0MB, alloc=4.6MB, time=100.24
NO POLE
NO POLE
t[1] = 0.5157
x1[1] (analytic) = 2.0010747484829998986737500187856
x1[1] (numeric) = 2.0010744791575352437024949083455
absolute error = 2.693254646549712551104401e-07
relative error = 1.3459040690965937980574418560168e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007401227618053787955843488323
x2[1] (numeric) = 1.0007402601587894224725023788642
absolute error = 1.373969840436769180300319e-07
relative error = 1.3729536861627355411901057137259e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=846.8MB, alloc=4.6MB, time=100.95
NO POLE
NO POLE
t[1] = 0.5158
x1[1] (analytic) = 2.001074641013525161978612999621
x1[1] (numeric) = 2.0010743682461597740997138143109
absolute error = 2.727673653878788991853101e-07
relative error = 1.3631044029908091689263927541134e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007402170610498920863936331656
x2[1] (numeric) = 1.0007403562323811282827092994597
absolute error = 1.391713312361963156662941e-07
relative error = 1.3906839044093918475672323947719e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=850.6MB, alloc=4.6MB, time=101.66
memory used=854.5MB, alloc=4.6MB, time=102.38
NO POLE
NO POLE
t[1] = 0.5159
x1[1] (analytic) = 2.0010745335547968354276829420248
x1[1] (numeric) = 2.0010742573236755724797313658866
absolute error = 2.762311212629479515761382e-07
relative error = 1.3804139557572542559198357499236e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007403113845298828278800448536
x2[1] (numeric) = 1.0007404523418283620593090651514
absolute error = 1.409572984792314290202978e-07
relative error = 1.4085302338247592830612145002817e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=858.3MB, alloc=4.6MB, time=103.09
NO POLE
NO POLE
t[1] = 0.516
x1[1] (analytic) = 2.0010744261068138444336756849985
x1[1] (numeric) = 2.0010741463900815306334271000025
absolute error = 2.797167323138002485849960e-07
relative error = 1.3978327275812651849570907351970e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007404057322496612528996614975
x2[1] (numeric) = 1.0007405484871399589769831864656
absolute error = 1.427548902977240835249681e-07
relative error = 1.4264927195906435141386188979619e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=862.1MB, alloc=4.6MB, time=103.80
NO POLE
NO POLE
memory used=865.9MB, alloc=4.6MB, time=104.49
t[1] = 0.5161
x1[1] (analytic) = 2.001074318669575114516760423202
x1[1] (numeric) = 2.0010740354453765402414491107971
absolute error = 2.832241985742753113124049e-07
relative error = 1.4153607186492624797416168454161e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007405001042135385101733932641
x2[1] (numeric) = 1.0007406446683247561432060831385
absolute error = 1.445641112176330326898744e-07
relative error = 1.4445714068989777359417171835099e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=869.7MB, alloc=4.6MB, time=105.18
NO POLE
NO POLE
t[1] = 0.5162
x1[1] (analytic) = 2.0010742112430795713045489621559
x1[1] (numeric) = 2.0010739244895594928742031499899
absolute error = 2.867535200784303458121660e-07
relative error = 1.4329979291487510633976558524694e-05 %
h = 0.0001
x2[1] (analytic) = 1.000740594500425826664464801233
x2[1] (numeric) = 1.0007407408853915925986480802438
absolute error = 1.463849657659341832790108e-07
relative error = 1.4627663409518249015911676422142e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=873.5MB, alloc=4.6MB, time=105.85
NO POLE
NO POLE
t[1] = 0.5163
x1[1] (analytic) = 2.0010741038273261405320849745173
x1[1] (numeric) = 2.0010738135226292799918417261895
absolute error = 2.903046968605402432483278e-07
relative error = 1.4507443592683202601173866170817e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007406889208908386967579518509
x2[1] (numeric) = 1.0007408371383493093175784865347
absolute error = 1.482174584706208205346838e-07
relative error = 1.4810775669613799519389773530765e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=877.3MB, alloc=4.6MB, time=106.54
memory used=881.2MB, alloc=4.6MB, time=107.22
NO POLE
NO POLE
t[1] = 0.5164
x1[1] (analytic) = 2.0010739964223137480418332574302
x1[1] (numeric) = 2.0010737025445847929442532031366
absolute error = 2.938777289550975800542936e-07
relative error = 1.4686000091976437968186001319413e-05 %
h = 0.0001
x2[1] (analytic) = 1.000740783365612888504435307495
x2[1] (numeric) = 1.0007409334272067492082687550172
absolute error = 1.500615938607038334475222e-07
relative error = 1.4995051301499720457718884789454e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=885.0MB, alloc=4.6MB, time=107.87
NO POLE
NO POLE
t[1] = 0.5165
x1[1] (analytic) = 2.0010738890280413197836689909504
x1[1] (numeric) = 2.0010735915554249229710508968821
absolute error = 2.974726163968126180940683e-07
relative error = 1.4865648791274798048128936923623e-05 %
h = 0.0001
x2[1] (analytic) = 1.000740877834596290901455653158
x2[1] (numeric) = 1.0007410297519727571133957257709
absolute error = 1.519173764662119400726129e-07
relative error = 1.5180490757500667904652208668792e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=888.8MB, alloc=4.6MB, time=108.54
memory used=892.6MB, alloc=4.6MB, time=109.20
NO POLE
NO POLE
t[1] = 0.5166
x1[1] (analytic) = 2.0010737816445077818148669975439
x1[1] (numeric) = 2.0010734805551485612015621719004
absolute error = 3.010893592206133048256435e-07
relative error = 1.5046389692496708214843787334619e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007409723278453616185320592565
x2[1] (numeric) = 1.0007411261126561798104449510341
absolute error = 1.537848108181919128917776e-07
relative error = 1.5367094490042684730873159972191e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=896.4MB, alloc=4.6MB, time=109.85
NO POLE
NO POLE
t[1] = 0.5167
x1[1] (analytic) = 2.00107367427171206030009100266
x1[1] (numeric) = 2.0010733695437545986548175361373
absolute error = 3.047279574616452734665227e-07
relative error = 1.5228222797571437919789113650395e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007410668453644173033098805746
x2[1] (numeric) = 1.0007412225092658660121141025699
absolute error = 1.556639014487088042219953e-07
relative error = 1.5554862951653222919546263924605e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=900.2MB, alloc=4.6MB, time=110.53
NO POLE
NO POLE
t[1] = 0.5168
x1[1] (analytic) = 2.0010735669096530815113828963776
x1[1] (numeric) = 2.001073258521241926239539734993
absolute error = 3.083884111552718431613846e-07
relative error = 1.5411148108439100709038356455385e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007411613871577755205447913463
x2[1] (numeric) = 1.0007413189418106663667164613298
absolute error = 1.575546528908461716699835e-07
relative error = 1.5743796594961165886375745356698e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=904.1MB, alloc=4.6MB, time=111.18
memory used=907.9MB, alloc=4.6MB, time=111.87
NO POLE
NO POLE
t[1] = 0.5169
x1[1] (analytic) = 2.0010734595583297718281519961257
x1[1] (numeric) = 2.0010731474876094347541328442395
absolute error = 3.120707203370740191518862e-07
relative error = 1.5595165627050654240382481265329e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007412559532297547522808564865
x2[1] (numeric) = 1.0007414154102994334585844894313
absolute error = 1.594570696787063036329448e-07
relative error = 1.5933895872696850804172433919580e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=911.7MB, alloc=4.6MB, time=112.53
NO POLE
NO POLE
t[1] = 0.517
x1[1] (analytic) = 2.0010733522177410577371643104778
x1[1] (numeric) = 2.0010730364428560148866713618728
absolute error = 3.157748850428504929486050e-07
relative error = 1.5780275355367900300537802056144e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007413505435846743980286389765
x2[1] (numeric) = 1.0007415119147410218084734844666
absolute error = 1.613711563474104448454901e-07
relative error = 1.6125161237692090931930055910724e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=915.5MB, alloc=4.6MB, time=113.18
memory used=919.3MB, alloc=4.6MB, time=113.85
NO POLE
NO POLE
t[1] = 0.5171
x1[1] (analytic) = 2.001073244887885865832531804019
x1[1] (numeric) = 2.0010729253869805572148892988994
absolute error = 3.195009053086176425051196e-07
relative error = 1.5966477295363484822458948255499e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007414451582268547749433434106
x2[1] (numeric) = 1.0007416084551442878739653161581
absolute error = 1.632969174330990219727475e-07
relative error = 1.6317593142880197948411773425820e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=923.1MB, alloc=4.6MB, time=114.53
NO POLE
NO POLE
t[1] = 0.5172
x1[1] (analytic) = 2.0010731375687631228157016632876
x1[1] (numeric) = 2.0010728143199819522061692690573
absolute error = 3.232487811706095323942303e-07
relative error = 1.6153771449020897902757055513984e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007415397971606171180029957129
x2[1] (numeric) = 1.0007417050315180900498722453786
absolute error = 1.652343574729318692496657e-07
relative error = 1.6511192041296004290247801552172e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=926.9MB, alloc=4.6MB, time=115.19
NO POLE
NO POLE
t[1] = 0.5173
x1[1] (analytic) = 2.0010730302603717554954455637891
x1[1] (numeric) = 2.0010727032418590902175315774713
absolute error = 3.270185126652779139863178e-07
relative error = 1.6342157818334473819223085666620e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007416344603902835801866590297
x2[1] (numeric) = 1.0007418016438712886686408255516
absolute error = 1.671834810050884541665219e-07
relative error = 1.6705958386075885494545054209051e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=930.8MB, alloc=4.6MB, time=115.85
memory used=934.6MB, alloc=4.6MB, time=116.53
NO POLE
NO POLE
t[1] = 0.5174
x1[1] (analytic) = 2.0010729229627106907878489380846
x1[1] (numeric) = 2.0010725921526108614956233082424
absolute error = 3.308100998292922256298422e-07
relative error = 1.6531636405309391048456386185379e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007417291479201772326526858047
x2[1] (numeric) = 1.000741898292212746000755886449
absolute error = 1.691442925687681032006443e-07
relative error = 1.6901892630457782546009779211583e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=938.4MB, alloc=4.6MB, time=117.20
NO POLE
NO POLE
t[1] = 0.5175
x1[1] (analytic) = 2.0010728156757788557163002449508
x1[1] (numeric) = 2.0010724810522361561767074109713
absolute error = 3.346235426995395928339795e-07
relative error = 1.6722207211961672283598349557439e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007418238597546220649170060468
x2[1] (numeric) = 1.0007419949765513262551446004028
absolute error = 1.711167967041902275943560e-07
relative error = 1.7098995227781224228583813357884e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=942.2MB, alloc=4.6MB, time=117.86
memory used=946.0MB, alloc=4.6MB, time=118.54
NO POLE
NO POLE
t[1] = 0.5176
x1[1] (analytic) = 2.0010727083995751774114802396144
x1[1] (numeric) = 2.0010723699407338642866517862159
absolute error = 3.384588413131248284533985e-07
relative error = 1.6913870240318184452171317870931e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007419185958979429850314517931
x2[1] (numeric) = 1.0007420916968958955795806309473
absolute error = 1.731009979525945491791542e-07
relative error = 1.7297266631487349481595797791710e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=949.8MB, alloc=4.6MB, time=119.22
NO POLE
NO POLE
t[1] = 0.5177
x1[1] (analytic) = 2.001072601134098583111351245059
x1[1] (numeric) = 2.0010722588181028757409183698827
absolute error = 3.423159957073704328751763e-07
relative error = 1.7106625492416638734022643015942e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007420133563544658197621177792
x2[1] (numeric) = 1.0007421884532553220610883639083
absolute error = 1.750969008562413262461291e-07
relative error = 1.7496707295118929760427744575405e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=953.6MB, alloc=4.6MB, time=119.87
NO POLE
NO POLE
t[1] = 0.5178
x1[1] (analytic) = 2.0010724938793480001611464244042
x1[1] (numeric) = 2.0010721476843420803445522165518
absolute error = 3.461950059198165942078524e-07
relative error = 1.7300472970305590579373902860171e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007421081411285173147677583199
x2[1] (numeric) = 1.0007422852456384757263472209565
absolute error = 1.771045099584115794626366e-07
relative error = 1.7697317672320391401698314667726e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=957.5MB, alloc=4.6MB, time=120.54
memory used=961.3MB, alloc=4.6MB, time=121.21
NO POLE
NO POLE
t[1] = 0.5179
x1[1] (analytic) = 2.0010723866353223560133590543584
x1[1] (numeric) = 2.0010720365394503677921705817358
absolute error = 3.500958719882211884726226e-07
relative error = 1.7495412676044439726975333726381e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007422029502244251347782204103
x2[1] (numeric) = 1.0007423820740542285420960556409
absolute error = 1.791238298034073178352306e-07
relative error = 1.7899098216837837992963338094818e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=965.1MB, alloc=4.6MB, time=121.86
NO POLE
NO POLE
t[1] = 0.518
x1[1] (analytic) = 2.0010722794020205782277317997435
x1[1] (numeric) = 2.0010719253834266276679520030722
absolute error = 3.540185939505597797966713e-07
relative error = 1.7691444611703430222365409568465e-05 %
h = 0.0001
x2[1] (analytic) = 1.000742297783646517863772913053
x2[1] (numeric) = 1.0007424789385114544155376319198
absolute error = 1.811548649365517647188668e-07
relative error = 1.8102049382519072746934716629078e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=968.9MB, alloc=4.6MB, time=122.53
memory used=972.7MB, alloc=4.6MB, time=123.20
NO POLE
NO POLE
t[1] = 0.5181
x1[1] (analytic) = 2.0010721721794415944712459890925
x1[1] (numeric) = 2.0010718142162697494456253804492
absolute error = 3.579631718450256206086433e-07
relative error = 1.7888568779363650436235623175805e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007423926413991250051593128194
x2[1] (numeric) = 1.0007425758390190291947431852051
absolute error = 1.831976199041895838723857e-07
relative error = 1.8306171623313620880218429580543e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=976.5MB, alloc=4.6MB, time=123.84
NO POLE
NO POLE
t[1] = 0.5182
x1[1] (analytic) = 2.0010720649675843325181108913189
x1[1] (numeric) = 2.0010717030379786224884590550649
absolute error = 3.619296057100296518362540e-07
relative error = 1.8086785181117033082900414794546e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007424875234865769819515056516
x2[1] (numeric) = 1.0007426727755858306690570659375
absolute error = 1.852520992536871055602859e-07
relative error = 1.8511465393272751996572703031919e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=980.3MB, alloc=4.6MB, time=124.49
NO POLE
NO POLE
t[1] = 0.5183
x1[1] (analytic) = 2.0010719577664477202497529934592
x1[1] (numeric) = 2.0010715918485521360492498874198
absolute error = 3.659178955842005031060394e-07
relative error = 1.8286093819066355238872318487280e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007425824299132051369487649122
x2[1] (numeric) = 1.0007427697482207385695014657085
absolute error = 1.873183075334325527007963e-07
relative error = 1.8717931146549502474687153012262e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=984.2MB, alloc=4.6MB, time=125.14
memory used=988.0MB, alloc=4.6MB, time=125.81
NO POLE
NO POLE
t[1] = 0.5184
x1[1] (analytic) = 2.0010718505760306856548052794871
x1[1] (numeric) = 2.0010714806479891792703123342424
absolute error = 3.699280415063844929452447e-07
relative error = 1.8486494695325238361542266622312e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007426773606833417329141656901
x2[1] (numeric) = 1.0007428667569326345691812259461
absolute error = 1.893962492928362670602560e-07
relative error = 1.8925569337398697860483733068078e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=991.8MB, alloc=4.6MB, time=126.50
NO POLE
NO POLE
t[1] = 0.5185
x1[1] (analytic) = 2.0010717433963321568290965101997
x1[1] (numeric) = 2.0010713694362886411834675243479
absolute error = 3.739600435156456289858518e-07
relative error = 1.8687987812018148307965067843336e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007427723158013199527532353685
x2[1] (numeric) = 1.0007429638017304022836887291815
absolute error = 1.914859290823309354938130e-07
relative error = 1.9134380420176975263940546498518e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=995.6MB, alloc=4.6MB, time=127.19
memory used=999.4MB, alloc=4.6MB, time=127.85
NO POLE
NO POLE
t[1] = 0.5186
x1[1] (analytic) = 2.0010716362273510619756405041756
x1[1] (numeric) = 2.00107125821344941071003233343
absolute error = 3.780139016512656081707456e-07
relative error = 1.8890573171280395353750053881045e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007428672952714738996926404623
x2[1] (numeric) = 1.0007430608826229272715088729119
absolute error = 1.935873514533718162324496e-07
relative error = 1.9344364849342805760439263737256e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1003.2MB, alloc=4.6MB, time=128.48
NO POLE
NO POLE
t[1] = 0.5187
x1[1] (analytic) = 2.0010715290690863294046254198055
x1[1] (numeric) = 2.0010711469794703766608084577851
absolute error = 3.820896159527438169620204e-07
relative error = 1.9094250775258134212056960530614e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007429622990981385974589097327
x2[1] (numeric) = 1.0007431579996190970344241260783
absolute error = 1.957005209584369652163456e-07
relative error = 1.9555523079456516796637205104676e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1007.1MB, alloc=4.6MB, time=129.14
NO POLE
NO POLE
memory used=1010.9MB, alloc=4.6MB, time=129.82
t[1] = 0.5188
x1[1] (analytic) = 2.0010714219215368875334030383936
x1[1] (numeric) = 2.0010710357343504277360714869698
absolute error = 3.861871864597973315514238e-07
relative error = 1.9299020626108364052696913223383e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007430573272856499904571935864
x2[1] (numeric) = 1.0007432551527278010179196681726
absolute error = 1.978254421510274624745862e-07
relative error = 1.9767855565180314600864729444255e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1014.7MB, alloc=4.6MB, time=130.47
NO POLE
NO POLE
t[1] = 0.5189
x1[1] (analytic) = 2.0010713147847016648864780483316
x1[1] (numeric) = 2.001070924478088452525559975391
absolute error = 3.903066132123609180729406e-07
relative error = 1.9504882725998928521338642484387e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007431523798383449439500597649
x2[1] (numeric) = 1.0007433523419579306115886109927
absolute error = 1.999621195856676385512278e-07
relative error = 1.9981362761278306598049198667891e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1018.5MB, alloc=4.6MB, time=131.13
NO POLE
NO POLE
t[1] = 0.519
x1[1] (analytic) = 2.0010712076585795900954973303432
x1[1] (numeric) = 2.0010708132106833395084645128279
absolute error = 3.944478962505870328175153e-07
relative error = 1.9711837077108515758819859671802e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007432474567605612442363253337
x2[1] (numeric) = 1.000743449567318379149537303061
absolute error = 2.021105578179053009777273e-07
relative error = 2.0196045122616523829166028777508e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1022.3MB, alloc=4.6MB, time=131.79
memory used=1026.1MB, alloc=4.6MB, time=132.46
NO POLE
NO POLE
t[1] = 0.5191
x1[1] (analytic) = 2.0010711005431695918992392438009
x1[1] (numeric) = 2.0010707019321339770534167938875
absolute error = 3.986110356148458224499134e-07
relative error = 1.9919883681626658420563803351384e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007433425580566375988299249763
x2[1] (numeric) = 1.0007435468288180419107907167236
absolute error = 2.042707614043119607917473e-07
relative error = 2.0411903104162943375218017404022e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1029.9MB, alloc=4.6MB, time=133.14
NO POLE
NO POLE
t[1] = 0.5192
x1[1] (analytic) = 2.0010709934384705991436029141137
x1[1] (numeric) = 2.0010705906424392534184786863914
absolute error = 4.027960313457251242277223e-07
relative error = 2.0129022541753733696100996642915e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007434376837309136366388156018
x2[1] (numeric) = 1.0007436441264658161196979179465
absolute error = 2.064427349024830591023447e-07
relative error = 2.0628937160987510785743648246949e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1033.8MB, alloc=4.6MB, time=133.79
memory used=1037.6MB, alloc=4.6MB, time=134.45
NO POLE
NO POLE
t[1] = 0.5193
x1[1] (analytic) = 2.0010708863444815407815975211861
x1[1] (numeric) = 2.0010704793415980567511312986957
absolute error = 4.070028834840304662224904e-07
relative error = 2.0339253659700963328696145934457e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007435328337877299081439172716
x2[1] (numeric) = 1.0007437414602706009463376188259
absolute error = 2.086264828710381937015543e-07
relative error = 2.0847147748262162511855482471971e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1041.4MB, alloc=4.6MB, time=135.10
NO POLE
NO POLE
t[1] = 0.5194
x1[1] (analytic) = 2.0010707792612013458733315889482
x1[1] (numeric) = 2.0010703680296092750882640459424
absolute error = 4.112315920707850675430058e-07
relative error = 2.0550577037690413635080251285196e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007436280082314278855780904552
x2[1] (numeric) = 1.0007438388302412975069238128292
absolute error = 2.108220098696213457223740e-07
relative error = 2.1066535321260848343809247473510e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1045.2MB, alloc=4.6MB, time=135.79
NO POLE
NO POLE
t[1] = 0.5195
x1[1] (analytic) = 2.0010706721886289435860022759565
x1[1] (numeric) = 2.0010702567064717963561637152433
absolute error = 4.154821571472298385607132e-07
relative error = 2.0762992677954995525287858912534e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007437232070663499631051496188
x2[1] (numeric) = 1.0007439362363868088642114927828
absolute error = 2.130293204589011063431640e-07
relative error = 2.1287100335359553853104812957125e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1049.0MB, alloc=4.6MB, time=136.47
memory used=1052.8MB, alloc=4.6MB, time=137.17
NO POLE
NO POLE
t[1] = 0.5196
x1[1] (analytic) = 2.0010705651267632631938846670664
x1[1] (numeric) = 2.0010701453721845083705035297958
absolute error = 4.197545787548233811372706e-07
relative error = 2.0976500582738464522599536078731e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007438184302968394569989131565
x2[1] (numeric) = 1.0007440336787160400279024516246
absolute error = 2.152484192005709035384681e-07
relative error = 2.1508843246036322839119814594199e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1056.6MB, alloc=4.6MB, time=137.86
NO POLE
NO POLE
t[1] = 0.5197
x1[1] (analytic) = 2.0010704580756032340783210661745
x1[1] (numeric) = 2.00107003402674629883633221193
absolute error = 4.240488569352419888542445e-07
relative error = 2.1191100754295420783589503769928e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007439136779272406058222896712
x2[1] (numeric) = 1.0007441311572378979550511659368
absolute error = 2.174793106573492288762656e-07
relative error = 2.1731764508871279780276725450270e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1060.5MB, alloc=4.6MB, time=138.55
memory used=1064.3MB, alloc=4.6MB, time=139.29
NO POLE
NO POLE
t[1] = 0.5198
x1[1] (analytic) = 2.0010703510351477857277102900321
x1[1] (numeric) = 2.0010699226701560553480630450884
absolute error = 4.283649917303796472449437e-07
relative error = 2.1406793194891309118278432522851e-05 %
h = 0.0001
x2[1] (analytic) = 1.00074400894996189857060640061
x2[1] (numeric) = 1.0007442286719612915504707622761
absolute error = 2.197219993929798643616661e-07
relative error = 2.1955864579546652289744555084333e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1068.1MB, alloc=4.6MB, time=140.02
NO POLE
NO POLE
t[1] = 0.5199
x1[1] (analytic) = 2.0010702440053958477374969631294
x1[1] (numeric) = 2.0010698113024126653894629347366
absolute error = 4.327029831823480340283928e-07
relative error = 2.1623577906802419010391456727659e-05 %
h = 0.0001
x2[1] (analytic) = 1.000744104246405159435029739265
x2[1] (numeric) = 1.0007443262228951316671390663182
absolute error = 2.219764899722321093270532e-07
relative error = 2.2181143913846793575675726662992e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1071.9MB, alloc=4.6MB, time=140.74
NO POLE
NO POLE
t[1] = 0.52
x1[1] (analytic) = 2.0010701369863463498101608136496
x1[1] (numeric) = 2.0010696999235150163336414682057
absolute error = 4.370628313334765193454439e-07
relative error = 2.1841454892315884637721332804913e-05 %
h = 0.0001
x2[1] (analytic) = 1.000744199567261370205597366143
x2[1] (numeric) = 1.0007444238100483311066047348333
absolute error = 2.242427869609010073686903e-07
relative error = 2.2407602967658204905979401876668e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1075.7MB, alloc=4.6MB, time=141.48
memory used=1079.5MB, alloc=4.6MB, time=142.22
NO POLE
NO POLE
t[1] = 0.5201
x1[1] (analytic) = 2.0010700299779982217552059704939
x1[1] (numeric) = 2.0010695885334619954430399734662
absolute error = 4.414445362263121659970277e-07
relative error = 2.2060424153729684892596801582312e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007442949125348788118201407146
x2[1] (numeric) = 1.0007445214334298046193934705089
absolute error = 2.265208949258075733297943e-07
relative error = 2.2635242196969558077631783973441e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1083.3MB, alloc=4.6MB, time=142.92
NO POLE
NO POLE
t[1] = 0.5202
x1[1] (analytic) = 2.0010699229803503934891502613766
x1[1] (numeric) = 2.0010694771322524898694205768333
absolute error = 4.458480979036197296845433e-07
relative error = 2.2280485693352643402456120247612e-05 %
h = 0.0001
x2[1] (analytic) = 1.000744390282230034106393989547
x2[1] (numeric) = 1.0007446190930484689054143196371
absolute error = 2.288108184347990203300901e-07
relative error = 2.2864062057871717890524638676747e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1087.2MB, alloc=4.6MB, time=143.59
memory used=1091.0MB, alloc=4.6MB, time=144.31
NO POLE
NO POLE
t[1] = 0.5203
x1[1] (analytic) = 2.00106981599340179503551451199
x1[1] (numeric) = 2.0010693657198853866538552596032
absolute error = 4.502735164083816592523868e-07
relative error = 2.2501639513504428550525769232675e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007444856763511858653792108305
x2[1] (numeric) = 1.0007447167889132426143660526827
absolute error = 2.311125620567489868418522e-07
relative error = 2.3094063006557764625852613222114e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1094.8MB, alloc=4.6MB, time=145.03
NO POLE
NO POLE
t[1] = 0.5204
x1[1] (analytic) = 2.0010697090171513565248118462399
x1[1] (numeric) = 2.0010692542963595727267149136209
absolute error = 4.547207917837980969326190e-07
relative error = 2.2723885616515553496604349378163e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007445810949026847883798153038
x2[1] (numeric) = 1.0007448145210330463461436277496
absolute error = 2.334261303615577638124458e-07
relative error = 2.3325245499323016529040543272995e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1098.6MB, alloc=4.6MB, time=145.75
NO POLE
NO POLE
t[1] = 0.5205
x1[1] (analytic) = 2.0010696020515980081945369875504
x1[1] (numeric) = 2.0010691428616739349076583957784
absolute error = 4.591899240732868785917720e-07
relative error = 2.2947224004727376197951659741716e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007446765378888824987229035858
x2[1] (numeric) = 1.0007449122894168026512447369612
absolute error = 2.357515279201525218333754e-07
relative error = 2.3557609992565052297211497781226e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1102.4MB, alloc=4.6MB, time=146.48
memory used=1106.2MB, alloc=4.6MB, time=147.23
NO POLE
NO POLE
t[1] = 0.5206
x1[1] (analytic) = 2.0010694950967406803891555612393
x1[1] (numeric) = 2.0010690314158273599056215814447
absolute error = 4.636809133204835339797946e-07
relative error = 2.3171654680492099430282951409669e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007447720053141315436380799221
x2[1] (numeric) = 1.0007450100940734360311764357721
absolute error = 2.380887593044875383558500e-07
relative error = 2.3791156942783733571196421754211e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1110.1MB, alloc=4.6MB, time=147.95
NO POLE
NO POLE
t[1] = 0.5207
x1[1] (analytic) = 2.0010693881525783035600933979622
x1[1] (numeric) = 2.0010689199588187343188064168257
absolute error = 4.681937595692412869811365e-07
relative error = 2.3397177646172770808868357669667e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007448674971827853944369023524
x2[1] (numeric) = 1.0007451079350118729388618552283
absolute error = 2.404378290875444249528759e-07
relative error = 2.4025886806581227432086426727922e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1113.9MB, alloc=4.6MB, time=148.66
memory used=1117.7MB, alloc=4.6MB, time=149.38
NO POLE
NO POLE
t[1] = 0.5208
x1[1] (analytic) = 2.0010692812191098082657258382271
x1[1] (numeric) = 2.0010688084906469446346699702556
absolute error = 4.727284628636310558679715e-07
relative error = 2.3623792904143282809737510896062e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007449630134991984466923693067
x2[1] (numeric) = 1.0007452058122410417790469971914
absolute error = 2.427987418433323546278847e-07
relative error = 2.4261800040662028902328438976072e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1121.5MB, alloc=4.6MB, time=150.09
NO POLE
NO POLE
t[1] = 0.5209
x1[1] (analytic) = 2.0010691742963341251713670379782
x1[1] (numeric) = 2.0010686970113108772299134824185
absolute error = 4.772850232479414535555597e-07
relative error = 2.3851500456788372790989346505316e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007450585542677260204184426364
x2[1] (numeric) = 1.000745303725769872908707612545
absolute error = 2.451715021468882891699086e-07
relative error = 2.4498897101832983451365365129275e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1125.3MB, alloc=4.6MB, time=150.82
NO POLE
NO POLE
memory used=1129.1MB, alloc=4.6MB, time=151.58
t[1] = 0.521
x1[1] (analytic) = 2.0010690673842501850492592752488
x1[1] (numeric) = 2.0010685855208094183704714155005
absolute error = 4.818634407666787878597483e-07
relative error = 2.4080300306503623014207074349198e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007451541194927243602496070893
x2[1] (numeric) = 1.0007454016756072986374561623988
absolute error = 2.475561145742772065553095e-07
relative error = 2.4737178447003309505821375273033e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1132.9MB, alloc=4.6MB, time=152.36
NO POLE
NO POLE
t[1] = 0.5211
x1[1] (analytic) = 2.0010689604828569187785622578836
x1[1] (numeric) = 2.0010684740191414542115005012726
absolute error = 4.864637154645670617566110e-07
relative error = 2.4310192455695460665978317902819e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007452497091785506356204662342
x2[1] (numeric) = 1.000745499661762253227948862308
absolute error = 2.499525837025923283960738e-07
relative error = 2.4976644533184620964233443169848e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1136.8MB, alloc=4.6MB, time=153.13
NO POLE
NO POLE
t[1] = 0.5212
x1[1] (analytic) = 2.0010688535921532573453424323308
x1[1] (numeric) = 2.0010683625063058707973687881033
absolute error = 4.910858473865479736442275e-07
relative error = 2.4541176906781157879520496564424e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007453453233295629409453748436
x2[1] (numeric) = 1.0007455976842436728962928095243
absolute error = 2.523609141099553474346807e-07
relative error = 2.5217295817490949716329873534135e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1140.6MB, alloc=4.6MB, time=153.89
memory used=1144.4MB, alloc=4.6MB, time=154.68
NO POLE
NO POLE
t[1] = 0.5213
x1[1] (analytic) = 2.0010687467121381318425622935024
x1[1] (numeric) = 2.0010682509823015540616446869022
absolute error = 4.957298365777809176066002e-07
relative error = 2.4773253662188831756411306501304e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007454409619501202957981077394
x2[1] (numeric) = 1.0007456957430604958124531932955
absolute error = 2.547811103755166550855561e-07
relative error = 2.5459132757138768166856975946842e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1148.2MB, alloc=4.6MB, time=155.44
NO POLE
NO POLE
t[1] = 0.5214
x1[1] (analytic) = 2.0010686398428104734700696957037
x1[1] (numeric) = 2.0010681394471273898270860159928
absolute error = 5.003956830836429836797109e-07
relative error = 2.5006422724357444388424440323880e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007455366250445826450915651128
x2[1] (numeric) = 1.0007457938382216621006605882306
absolute error = 2.572131770794555690231178e-07
relative error = 2.5702155809447011763954405451338e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1152.0MB, alloc=4.6MB, time=156.21
NO POLE
NO POLE
memory used=1155.8MB, alloc=4.6MB, time=157.00
t[1] = 0.5215
x1[1] (analytic) = 2.0010685329841692135345871646322
x1[1] (numeric) = 2.0010680279007822638056290449161
absolute error = 5.050833869497289581197161e-07
relative error = 2.5240684095736802879470475982108e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007456323126173108592575143217
x2[1] (numeric) = 1.0007458919697361138398183307465
absolute error = 2.596571188029805608164248e-07
relative error = 2.5946365431837101532080399321894e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1159.6MB, alloc=4.6MB, time=157.76
NO POLE
NO POLE
t[1] = 0.5216
x1[1] (analytic) = 2.0010684261362132834497012104441
x1[1] (numeric) = 2.0010679163432650615983775371637
absolute error = 5.097929482218513236732804e-07
relative error = 2.5476037778787559367642910254252e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007457280246726667344263681747
x2[1] (numeric) = 1.000745990137612795063909978614
absolute error = 2.621129401283294836104393e-07
relative error = 2.6191762081832966609487719786897e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1163.5MB, alloc=4.6MB, time=158.54
NO POLE
NO POLE
t[1] = 0.5217
x1[1] (analytic) = 2.0010683192989416147358516418912
x1[1] (numeric) = 2.0010678047745746686955917918409
absolute error = 5.145243669460402598500503e-07
relative error = 2.5712483775981211047369452123223e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007458237612150129926069997097
x2[1] (numeric) = 1.0007460883418606517624068536188
absolute error = 2.645806456387697998539091e-07
relative error = 2.6438346217061066790251022534343e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1167.3MB, alloc=4.6MB, time=159.31
memory used=1171.1MB, alloc=4.6MB, time=160.09
NO POLE
NO POLE
t[1] = 0.5218
x1[1] (analytic) = 2.0010682124723531390203208815243
x1[1] (numeric) = 2.0010676931947099704766776842594
absolute error = 5.192776431685436431972649e-07
relative error = 2.5950022089800100191668401490509e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007459195222487132818665934718
x2[1] (numeric) = 1.0007461865824886318806756673558
absolute error = 2.670602399185988090738840e-07
relative error = 2.6686118295250415070846960365838e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1174.9MB, alloc=4.6MB, time=160.85
NO POLE
NO POLE
t[1] = 0.5219
x1[1] (analytic) = 2.0010681056564467880372232819665
x1[1] (numeric) = 2.0010675816036698522101757054594
absolute error = 5.240527769358270475765071e-07
relative error = 2.6188652722737414174510293488035e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007460153077781321765105333009
x2[1] (numeric) = 1.0007462848595056853203862301716
absolute error = 2.695517275531438756968707e-07
relative error = 2.6935078774232600201287422021464e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1178.7MB, alloc=4.6MB, time=161.59
memory used=1182.5MB, alloc=4.6MB, time=162.30
NO POLE
NO POLE
t[1] = 0.522
x1[1] (analytic) = 2.0010679988512214936274944432543
x1[1] (numeric) = 2.0010674700014531990537500006616
absolute error = 5.288497682945737444425927e-07
relative error = 2.6428375677297185493284678813782e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007461111178076351772623266334
x2[1] (numeric) = 1.0007463831729207639399192432737
absolute error = 2.720551131287626569166403e-07
relative error = 2.7185228111941809240807265460897e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1186.3MB, alloc=4.6MB, time=163.02
NO POLE
NO POLE
t[1] = 0.5221
x1[1] (analytic) = 2.0010678920566761877388805312468
x1[1] (numeric) = 2.0010673583880588960541774066486
absolute error = 5.336686172916847031245982e-07
relative error = 2.6669190955994291791372080426151e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007462069523415887114435653279
x2[1] (numeric) = 1.0007464815227428215547741740219
absolute error = 2.745704012328433306086940e-07
relative error = 2.7436566766414850118107055497630e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1190.2MB, alloc=4.6MB, time=163.74
NO POLE
NO POLE
t[1] = 0.5222
x1[1] (analytic) = 2.0010677852728098024259275971035
x1[1] (numeric) = 2.0010672467634858281473364880749
absolute error = 5.385093239742785911090286e-07
relative error = 2.6911098561354455880821191918635e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007463028113843601331539230185
x2[1] (numeric) = 1.0007465799089808139379772144198
absolute error = 2.770975964538048232914013e-07
relative error = 2.7689095195791174196152185013075e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1194.0MB, alloc=4.6MB, time=164.45
memory used=1197.8MB, alloc=4.6MB, time=165.19
NO POLE
NO POLE
t[1] = 0.5223
x1[1] (analytic) = 2.0010676784996212698499708978291
x1[1] (numeric) = 2.0010671351277328801581965727072
absolute error = 5.433718883896917743251219e-07
relative error = 2.7154098495914245765131153019071e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007463986949403177234511890083
x2[1] (numeric) = 1.000746678331643698820489322822
absolute error = 2.796367033810970381338137e-07
relative error = 2.7942813858312898841528629797621e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1201.6MB, alloc=4.6MB, time=165.90
NO POLE
NO POLE
t[1] = 0.5224
x1[1] (analytic) = 2.0010675717371095222791242178875
x1[1] (numeric) = 2.0010670234807989368008067855928
absolute error = 5.482563105854783174322947e-07
relative error = 2.7398190762221074662139122452166e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007464946030138306905313387045
x2[1] (numeric) = 1.0007467767907404358916143488749
absolute error = 2.821877266052010830101704e-07
relative error = 2.8197723212324829998356936037756e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1205.4MB, alloc=4.6MB, time=166.61
memory used=1209.2MB, alloc=4.6MB, time=167.35
NO POLE
NO POLE
t[1] = 0.5225
x1[1] (analytic) = 2.0010674649852734920882691918828
x1[1] (numeric) = 2.0010669118226828826782850821575
absolute error = 5.531625906094099841097253e-07
relative error = 2.7643375362833201027012968617427e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007465905356092691699086406065
x2[1] (numeric) = 1.0007468752862799867994072417074
absolute error = 2.847506707176294986011009e-07
relative error = 2.8453823716274484766764880311041e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1213.0MB, alloc=4.6MB, time=168.06
NO POLE
NO POLE
t[1] = 0.5226
x1[1] (analytic) = 2.0010673582441121117590446283076
x1[1] (numeric) = 2.0010668001533836022828072802324
absolute error = 5.580907285094762373480752e-07
relative error = 2.7889652300319728575349123414465e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007466864927310042245957998532
x2[1] (numeric) = 1.000746973818271315151082341388
absolute error = 2.873255403109264865415348e-07
relative error = 2.8711115828712113985919781526539e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1216.9MB, alloc=4.6MB, time=168.77
NO POLE
NO POLE
t[1] = 0.5227
x1[1] (analytic) = 2.0010672515136243138798358343601
x1[1] (numeric) = 2.0010666884728999799955960910093
absolute error = 5.630407243338842397433508e-07
relative error = 2.8137021577260606306375689523534e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007467824743834078452841383352
x2[1] (numeric) = 1.000747072386723386513421753666
absolute error = 2.899123399786681376153308e-07
relative error = 2.8969600008290724821621614099476e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1220.7MB, alloc=4.6MB, time=169.48
memory used=1224.5MB, alloc=4.6MB, time=170.20
NO POLE
NO POLE
t[1] = 0.5228
x1[1] (analytic) = 2.0010671447938090311457639418275
x1[1] (numeric) = 2.0010665767812309000869101489248
absolute error = 5.680125781310588537929027e-07
relative error = 2.8385483196246628526260671566545e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007468784805708529505238113817
x2[1] (numeric) = 1.0007471709916451684131838080126
absolute error = 2.925110743154626599966309e-07
relative error = 2.9229276713766103358457472074579e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1228.3MB, alloc=4.6MB, time=170.91
NO POLE
NO POLE
t[1] = 0.5229
x1[1] (analytic) = 2.0010670380846651963586752340373
x1[1] (numeric) = 2.0010664650783752467160330404732
absolute error = 5.730062899496426421935641e-07
relative error = 2.8635037159879434871525406464292e-05 %
h = 0.0001
x2[1] (analytic) = 1.000746974511297713386904061027
x2[1] (numeric) = 1.0007472696330456303375115989793
absolute error = 2.951217479169506075379523e-07
relative error = 2.9490146403996837196518583405879e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1232.1MB, alloc=4.6MB, time=171.60
memory used=1235.9MB, alloc=4.6MB, time=172.34
NO POLE
NO POLE
t[1] = 0.523
x1[1] (analytic) = 2.0010669313861917424271304738756
x1[1] (numeric) = 2.0010663533643319039312623319475
absolute error = 5.780218598384958681419281e-07
relative error = 2.8885683470771510332563183350915e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007470705665683639292335058661
x2[1] (numeric) = 1.0007473683109337437343416108905
absolute error = 2.977443653798051081050244e-07
relative error = 2.9752209537944338052680563959250e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1239.8MB, alloc=4.6MB, time=173.05
NO POLE
NO POLE
t[1] = 0.5231
x1[1] (analytic) = 2.0010668246983876023663942328731
x1[1] (numeric) = 2.0010662416390997556698985961092
absolute error = 5.830592878466964956367639e-07
relative error = 2.9137422131546185277263053401248e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007471666463871802807204675039
x2[1] (numeric) = 1.0007474670253184820128124258867
absolute error = 3.003789313017320919583828e-07
relative error = 3.0015466574672864366448050446399e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1243.6MB, alloc=4.6MB, time=173.77
NO POLE
NO POLE
t[1] = 0.5232
x1[1] (analytic) = 2.0010667180212517092984242213574
x1[1] (numeric) = 2.0010661299026776857582344377862
absolute error = 5.881185740235401897835712e-07
relative error = 2.9390253144837635474738794945266e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007472627507585390731533336088
x2[1] (numeric) = 1.0007475657762088205436735153356
absolute error = 3.030254502814705201817268e-07
relative error = 3.0279917973349543910364311879963e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1247.4MB, alloc=4.6MB, time=174.47
memory used=1251.2MB, alloc=4.6MB, time=175.20
NO POLE
NO POLE
t[1] = 0.5233
x1[1] (analytic) = 2.0010666113547829964518606196727
x1[1] (numeric) = 2.0010660181550645779115435183988
absolute error = 5.931997184185403171012739e-07
relative error = 2.9644176513290882119163089195784e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007473588796868178670809575745
x2[1] (numeric) = 1.0007476645636137366596941146273
absolute error = 3.056839269187926131570528e-07
relative error = 3.0545564193244396404987028677301e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1255.0MB, alloc=4.6MB, time=175.91
NO POLE
NO POLE
t[1] = 0.5234
x1[1] (analytic) = 2.0010665046989803971620154104661
x1[1] (numeric) = 2.0010659063962593157340695794138
absolute error = 5.983027210814279458310523e-07
relative error = 2.9899192239561791853706866966160e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007474550331763951519930947996
x2[1] (numeric) = 1.0007477633875422096560721813713
absolute error = 3.083543658145040790865717e-07
relative error = 3.0812405693730356138430998839412e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1258.8MB, alloc=4.6MB, time=176.62
memory used=1262.6MB, alloc=4.6MB, time=177.35
NO POLE
NO POLE
t[1] = 0.5235
x1[1] (analytic) = 2.0010663980538428448708617120408
x1[1] (numeric) = 2.0010657946262607827190154647266
absolute error = 6.034275820621518462473142e-07
relative error = 3.0155300326317076794583846722677e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007475512112316503465008755908
x2[1] (numeric) = 1.0007478622480032207908434370113
absolute error = 3.110367715704443425614205e-07
relative error = 3.1080442934283294590478740452834e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1266.5MB, alloc=4.6MB, time=178.05
NO POLE
NO POLE
t[1] = 0.5236
x1[1] (analytic) = 2.0010662914193692731270231127758
x1[1] (numeric) = 2.0010656828450678622485321419714
absolute error = 6.085743014108784909708044e-07
relative error = 3.0412500776234294555200239340209e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007476474138569637985173146987
x2[1] (numeric) = 1.000747961145005753285290491875
absolute error = 3.137311487894867731771763e-07
relative error = 3.1349676374482043061259759889705e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1270.3MB, alloc=4.6MB, time=178.76
NO POLE
NO POLE
memory used=1274.1MB, alloc=4.6MB, time=179.46
t[1] = 0.5237
x1[1] (analytic) = 2.001066184795558615585763006612
x1[1] (numeric) = 2.0010655710526794375937077227588
absolute error = 6.137428791779920552838532e-07
relative error = 3.0670793592001848270409649900378e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007477436410567167854378574914
x2[1] (numeric) = 1.000748060078558792324352053676
absolute error = 3.164375020755389141961846e-07
relative error = 3.1620106474008415304499624783004e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1277.9MB, alloc=4.6MB, time=180.18
NO POLE
NO POLE
t[1] = 0.5238
x1[1] (analytic) = 2.0010660781824098060089739296051
x1[1] (numeric) = 2.001065459249094391914556481841
absolute error = 6.189333154140944174477641e-07
relative error = 3.0930178776318986620873186882017e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007478398928352915143209627747
x2[1] (numeric) = 1.0007481590486713250570322194844
absolute error = 3.191558360335427112567097e-07
relative error = 3.1891733692647230165339571138088e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1281.7MB, alloc=4.6MB, time=180.90
NO POLE
NO POLE
t[1] = 0.5239
x1[1] (analytic) = 2.0010659715799217782651668975444
x1[1] (numeric) = 2.0010653474343116082600078752052
absolute error = 6.241456101700051590223392e-07
relative error = 3.1190656331895803857524704138953e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007479361691970711220687222657
x2[1] (numeric) = 1.0007482580553523405968098511824
absolute error = 3.218861552694747411289167e-07
relative error = 3.2164558490286334222727543792844e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1285.5MB, alloc=4.6MB, time=181.60
memory used=1289.3MB, alloc=4.6MB, time=182.31
NO POLE
NO POLE
t[1] = 0.524
x1[1] (analytic) = 2.0010658649880934663294607446376
x1[1] (numeric) = 2.0010652356083299695678955570938
absolute error = 6.293797634967615651875438e-07
relative error = 3.1452226261453239826141250980158e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007480324701464396756075167266
x2[1] (numeric) = 1.000748357098610830022048034423
absolute error = 3.246284643903464405176964e-07
relative error = 3.2438581326916624436381749282244e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1293.2MB, alloc=4.6MB, time=183.02
NO POLE
NO POLE
t[1] = 0.5241
x1[1] (analytic) = 2.0010657584069238042835714632625
x1[1] (numeric) = 2.0010651237711483586649463959523
absolute error = 6.346357754456186250673102e-07
relative error = 3.1714888567723079992018730707147e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007481287956877821720687087675
x2[1] (numeric) = 1.0007484561784557863764036211074
absolute error = 3.273827680042043349123399e-07
relative error = 3.2713802662632070798327350477320e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1297.0MB, alloc=4.6MB, time=183.73
memory used=1300.8MB, alloc=4.6MB, time=184.44
NO POLE
NO POLE
t[1] = 0.5242
x1[1] (analytic) = 2.0010656518364117263158015447838
x1[1] (numeric) = 2.0010650119227656582667694893041
absolute error = 6.399136460680490320554797e-07
relative error = 3.1978643253447955464752717990174e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007482251458254845389693723225
x2[1] (numeric) = 1.000748555294896204669236855399
absolute error = 3.301490707201302674830765e-07
relative error = 3.2990222957629738989007611838513e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1304.6MB, alloc=4.6MB, time=185.14
NO POLE
NO POLE
t[1] = 0.5243
x1[1] (analytic) = 2.0010655452765561667210293214361
x1[1] (numeric) = 2.0010649000631807509778451775532
absolute error = 6.452133754157431841438829e-07
relative error = 3.2243490321381343023124440435277e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007483215205639336343930588108
x2[1] (numeric) = 1.00074865444794108187602108329
absolute error = 3.329273771482416280244792e-07
relative error = 3.3267842672209813037969874796223e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1308.4MB, alloc=4.6MB, time=185.84
NO POLE
NO POLE
t[1] = 0.5244
x1[1] (analytic) = 2.001065438727356059900698309273
x1[1] (numeric) = 2.0010647881923925192915140567131
absolute error = 6.505349635406091842525599e-07
relative error = 3.2509429774287565140092004654306e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007484179199075172471705999852
x2[1] (numeric) = 1.0007487536375994169387525457378
absolute error = 3.357176918996915819457526e-07
relative error = 3.3546662266775617989127791964822e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1312.2MB, alloc=4.6MB, time=186.55
memory used=1316.0MB, alloc=4.6MB, time=187.26
NO POLE
NO POLE
t[1] = 0.5245
x1[1] (analytic) = 2.0010653321888103403628065521812
x1[1] (numeric) = 2.0010646763103998455899659900631
absolute error = 6.558784104947728405621181e-07
relative error = 3.2776461614941790007886752253817e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007485143438606240970609474793
x2[1] (numeric) = 1.0007488528638802107663602553885
absolute error = 3.385200195866692993079092e-07
relative error = 3.3826682201833642570600369531889e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1319.9MB, alloc=4.6MB, time=187.96
NO POLE
NO POLE
t[1] = 0.5246
x1[1] (analytic) = 2.0010652256609179427218959669604
x1[1] (numeric) = 2.0010645644172016121442291187315
absolute error = 6.612437163305776668482289e-07
relative error = 3.3044585846130031563214811062766e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007486107924276438349320490583
x2[1] (numeric) = 1.0007489521267924662351159569036
absolute error = 3.413343648224001839078453e-07
relative error = 3.4107902937993561869128886753858e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1323.7MB, alloc=4.6MB, time=188.65
memory used=1327.5MB, alloc=4.6MB, time=189.36
NO POLE
NO POLE
t[1] = 0.5247
x1[1] (analytic) = 2.0010651191436778016990416894693
x1[1] (numeric) = 2.0010644525127967011141588712053
absolute error = 6.666308811005848828182640e-07
relative error = 3.3313802470649149512563876934874e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007487072656129670429417615818
x2[1] (numeric) = 1.0007490514263451881890441709075
absolute error = 3.441607322211461024093257e-07
relative error = 3.4390324935968260009072561616651e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1331.3MB, alloc=4.6MB, time=190.04
NO POLE
NO POLE
t[1] = 0.5248
x1[1] (analytic) = 2.0010650126370888521218414218355
x1[1] (numeric) = 2.0010643405971839945484269717666
absolute error = 6.720399048575734144500689e-07
relative error = 3.3584111491306849357615106543993e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007488037634209852347188006849
x2[1] (numeric) = 1.0007491507625473834403323215721
absolute error = 3.469991263982056135208872e-07
relative error = 3.4673948656573852835983911638041e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1335.1MB, alloc=4.6MB, time=190.74
NO POLE
NO POLE
t[1] = 0.5249
x1[1] (analytic) = 2.0010649061411500289244047807321
x1[1] (numeric) = 2.0010642286703623743845104478559
absolute error = 6.774707876545398943328762e-07
relative error = 3.3855512910921682420760251457585e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007489002858560908555437271862
x2[1] (numeric) = 1.0007492501354080607697409478556
absolute error = 3.498495519699141972206694e-07
relative error = 3.4958774560729710604764608878552e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1338.9MB, alloc=4.6MB, time=191.44
memory used=1342.8MB, alloc=4.6MB, time=192.15
NO POLE
NO POLE
t[1] = 0.525
x1[1] (analytic) = 2.0010647996558602671473426467186
x1[1] (numeric) = 2.0010641167323307224486806363613
absolute error = 6.829235295446986620103573e-07
relative error = 3.4128006732323045870723963879894e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007489968329226772825299702296
x2[1] (numeric) = 1.0007493495449362309270139984127
absolute error = 3.527120135536444840281831e-07
relative error = 3.5244803109458480672402808071092e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1346.6MB, alloc=4.6MB, time=192.84
NO POLE
NO POLE
t[1] = 0.5251
x1[1] (analytic) = 2.0010646931812185019377565146471
x1[1] (numeric) = 2.0010640047830879204559921888343
absolute error = 6.883981305814817643258128e-07
relative error = 3.4401592958351182748291289411025e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007490934046251388248048871656
x2[1] (numeric) = 1.0007494489911409066312892101925
absolute error = 3.555865157678064843230269e-07
relative error = 3.5532034763886110195292956734916e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1350.4MB, alloc=4.6MB, time=193.54
memory used=1354.2MB, alloc=4.6MB, time=194.26
NO POLE
NO POLE
t[1] = 0.5252
x1[1] (analytic) = 2.0010645867172236685492278451329
x1[1] (numeric) = 2.0010638928226328500102720756319
absolute error = 6.938945908185389557695010e-07
relative error = 3.4676271591857181992140317192048e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007491900009678707236908601817
x2[1] (numeric) = 1.0007495484740311025715085707416
absolute error = 3.584730632318478177105599e-07
relative error = 3.5820469985241868831138826319392e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1358.0MB, alloc=4.6MB, time=194.95
NO POLE
NO POLE
t[1] = 0.5253
x1[1] (analytic) = 2.0010644802638747023418074170908
x1[1] (numeric) = 2.0010637808509643926041085889849
absolute error = 6.994129103097376988281059e-07
relative error = 3.4952042635702978464780057752930e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007492866219552691528864296884
x2[1] (numeric) = 1.0007496479936158354068288642287
absolute error = 3.613716605662539424345403e-07
relative error = 3.6110109234858371445440693258884e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1361.8MB, alloc=4.6MB, time=195.65
NO POLE
NO POLE
t[1] = 0.5254
x1[1] (analytic) = 2.0010643738211705387820046813353
x1[1] (numeric) = 2.0010636688680814296188403449918
absolute error = 7.049530891091631643363435e-07
relative error = 3.5228906092761352978593488949243e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007493832675917312186474644669
x2[1] (numeric) = 1.0007497475499041237670323012081
absolute error = 3.642823123925483848367412e-07
relative error = 3.6400952974171600822567748685653e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1365.6MB, alloc=4.6MB, time=196.35
memory used=1369.5MB, alloc=4.6MB, time=197.07
NO POLE
NO POLE
t[1] = 0.5255
x1[1] (analytic) = 2.0010642673891101134427771152459
x1[1] (numeric) = 2.0010635568739828423245452845392
absolute error = 7.105151272711182318307067e-07
relative error = 3.5506861965915932321985785333595e-05 %
h = 0.0001
x2[1] (analytic) = 1.000749479937881654959968368588
x2[1] (numeric) = 1.0007498471429049882529372321388
absolute error = 3.672050233332929688635508e-07
relative error = 3.6693001664720930381416405832353e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1373.3MB, alloc=4.6MB, time=197.77
NO POLE
NO POLE
t[1] = 0.5256
x1[1] (analytic) = 2.0010641609676923620035195784965
x1[1] (numeric) = 2.0010634448686675118800296731475
absolute error = 7.160990248501234899053490e-07
relative error = 3.5785910258061189285637741310319e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007495766328294393487633251072
x2[1] (numeric) = 1.000749946772627451436808944676
absolute error = 3.701397980120880456195688e-07
relative error = 3.6986255768149146895655633789375e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1377.1MB, alloc=4.6MB, time=198.47
memory used=1380.9MB, alloc=4.6MB, time=199.18
NO POLE
NO POLE
t[1] = 0.5257
x1[1] (analytic) = 2.0010640545569162202500536698494
x1[1] (numeric) = 2.0010633328521343193328170997428
absolute error = 7.217047819009172365701066e-07
relative error = 3.6066050972102442688864368437854e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007496733524394842900475765452
x2[1] (numeric) = 1.0007500464390805378627705447522
absolute error = 3.730866410535727229682070e-07
relative error = 3.7280715746202473218560066544504e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1384.7MB, alloc=4.6MB, time=199.88
NO POLE
NO POLE
t[1] = 0.5258
x1[1] (analytic) = 2.0010639481567806240746170850134
x1[1] (numeric) = 2.0010632208243821456191374743542
absolute error = 7.273323984784554796106592e-07
relative error = 3.6347284110955857406078682224556e-05 %
h = 0.0001
x2[1] (analytic) = 1.00074977009671619062211874216
x2[1] (numeric) = 1.0007501461422732740472139214645
absolute error = 3.760455570834250951793045e-07
relative error = 3.7576382060730591012431876030593e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1388.5MB, alloc=4.6MB, time=200.56
NO POLE
NO POLE
memory used=1392.3MB, alloc=4.6MB, time=201.26
t[1] = 0.5259
x1[1] (analytic) = 2.0010638417672845094758529755663
x1[1] (numeric) = 2.0010631087854098715639160247364
absolute error = 7.329818746379119369508299e-07
relative error = 3.6629609677548444393360698760951e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007498668656639601167381720179
x2[1] (numeric) = 1.0007502458822146884792107957853
absolute error = 3.790165507283624726237674e-07
relative error = 3.7873255173686663482612347922224e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1396.2MB, alloc=4.6MB, time=201.99
NO POLE
NO POLE
t[1] = 0.526
x1[1] (analytic) = 2.0010637353884268125587993089415
x1[1] (numeric) = 2.0010629967352163778807622919182
absolute error = 7.386532104346780370170233e-07
relative error = 3.6913027674818060715131596565950e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007499636592871954793123378719
x2[1] (numeric) = 1.000750345658913811620923853113
absolute error = 3.819996266161416115152411e-07
relative error = 3.8171335547127358116083919034929e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1400.0MB, alloc=4.6MB, time=202.70
NO POLE
NO POLE
t[1] = 0.5261
x1[1] (analytic) = 2.0010636290202064695348782294778
x1[1] (numeric) = 2.0010628846738005451719591246759
absolute error = 7.443464059243629191048019e-07
relative error = 3.7197538105713409570933048997866e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007500604775903003490742608526
x2[1] (numeric) = 1.0007504454723796759080179596799
absolute error = 3.849947893755589436988273e-07
relative error = 3.8470623643212869424663834858847e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1403.8MB, alloc=4.6MB, time=203.40
memory used=1407.6MB, alloc=4.6MB, time=204.11
NO POLE
NO POLE
t[1] = 0.5262
x1[1] (analytic) = 2.0010635226626224167218854205342
x1[1] (numeric) = 2.0010627726011612539284516729322
absolute error = 7.500614611627934337476020e-07
relative error = 3.7483140973194040322311787551765e-05 %
h = 0.0001
x2[1] (analytic) = 1.000750157320577679299264975982
x2[1] (numeric) = 1.0007505453226213157500714628342
absolute error = 3.880020436364508064868522e-07
relative error = 3.8771119924206941692790026155873e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1411.4MB, alloc=4.6MB, time=204.81
NO POLE
NO POLE
t[1] = 0.5263
x1[1] (analytic) = 2.0010634163156735905439794676677
x1[1] (numeric) = 2.00106266051729738452983638008
absolute error = 7.557983762060141430875877e-07
relative error = 3.7769836280230348519809326433753e-05 %
h = 0.0001
x2[1] (analytic) = 1.000750254188253737837315033514
x2[1] (numeric) = 1.000750645209647767530987575213
absolute error = 3.910213940296936725416990e-07
relative error = 3.9072824852476891729900463032871e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1415.2MB, alloc=4.6MB, time=205.51
memory used=1419.0MB, alloc=4.6MB, time=206.22
NO POLE
NO POLE
t[1] = 0.5264
x1[1] (analytic) = 2.0010633099793589275316712228745
x1[1] (numeric) = 2.0010625484222078172443499742313
absolute error = 7.615571511102873212486432e-07
relative error = 3.8057624029803575930056858760161e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007503510806228824050260371117
x2[1] (numeric) = 1.000750745133468069609405842823
absolute error = 3.940528451872043798057113e-07
relative error = 3.9375738890493631627406595368149e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1422.9MB, alloc=4.6MB, time=206.92
NO POLE
NO POLE
t[1] = 0.5265
x1[1] (analytic) = 2.0010632036536773643218131698956
x1[1] (numeric) = 2.0010624363158914322288584583911
absolute error = 7.673377859320929547115045e-07
relative error = 3.8346504224905810562975379705625e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007504479976895203787522188675
x2[1] (numeric) = 1.0007508450940912623191136970462
absolute error = 3.970964017419403614781787e-07
relative error = 3.9679862500831691520261958094149e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1426.7MB, alloc=4.6MB, time=207.61
NO POLE
NO POLE
t[1] = 0.5266
x1[1] (analytic) = 2.0010630973386278376575887905851
x1[1] (numeric) = 2.0010623241983471095288460995558
absolute error = 7.731402807281287426910293e-07
relative error = 3.8636476868539986699080976985120e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007505449394580600695820511738
x2[1] (numeric) = 1.0007509450915263879694580905873
absolute error = 4.001520683278998760394135e-07
relative error = 3.9985196146169242353126779996859e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1430.5MB, alloc=4.6MB, time=208.31
memory used=1434.3MB, alloc=4.6MB, time=209.04
NO POLE
NO POLE
t[1] = 0.5267
x1[1] (analytic) = 2.001062991034209284388501932342
x1[1] (numeric) = 2.0010622120695737290784044167369
absolute error = 7.789646355553100975156051e-07
relative error = 3.8927541963719884916895289023014e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007506419059329107235198954507
x2[1] (numeric) = 1.0007510451257824908457572173801
absolute error = 4.032198495801222373219294e-07
relative error = 4.0291740289288118651129634520338e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1438.1MB, alloc=4.6MB, time=209.76
NO POLE
NO POLE
t[1] = 0.5268
x1[1] (analytic) = 2.0010628847404206414703661766053
x1[1] (numeric) = 2.0010620999295701707002211679084
absolute error = 7.848108504707701450086969e-07
relative error = 3.9219699513470132120461201124979e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007507388971184825216676877402
x2[1] (numeric) = 1.0007511451968686172097123164691
absolute error = 4.062997501346880446287289e-07
relative error = 4.0599495393073841295226751357333e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1441.9MB, alloc=4.6MB, time=210.47
memory used=1445.7MB, alloc=4.6MB, time=211.20
NO POLE
NO POLE
t[1] = 0.5269
x1[1] (analytic) = 2.0010627784572608459652942084121
x1[1] (numeric) = 2.0010619877783353141055693358797
absolute error = 7.906789255318597248725324e-07
relative error = 3.9512949520826201566963675061481e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007508359130191865804066611706
x2[1] (numeric) = 1.0007512453047938152998195598842
absolute error = 4.093917746287194128987136e-07
relative error = 4.0908461920515640302160357022477e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1449.6MB, alloc=4.6MB, time=211.93
NO POLE
NO POLE
t[1] = 0.527
x1[1] (analytic) = 2.0010626721847288350416871870186
x1[1] (numeric) = 2.0010618756158680388942961130922
absolute error = 7.965688607961473910739264e-07
relative error = 3.9807291988834412894455797370576e-05 %
h = 0.0001
x2[1] (analytic) = 1.000750932953639434951579105303
x2[1] (numeric) = 1.0007513454495671353317820245247
absolute error = 4.124959277003802029192217e-07
relative error = 4.1218640334706477609016423324498e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1453.4MB, alloc=4.6MB, time=212.64
NO POLE
NO POLE
t[1] = 0.5271
x1[1] (analytic) = 2.0010625659228235459742241175843
x1[1] (numeric) = 2.0010617634421672245548118853403
absolute error = 8.024806563214194122322440e-07
relative error = 4.0102726920551932149690026743429e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007510300189836406226701623626
x2[1] (numeric) = 1.00075144563119762949892174807
absolute error = 4.156122139888762515857074e-07
relative error = 4.1530031098843069862383241851869e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1457.2MB, alloc=4.6MB, time=213.35
memory used=1461.0MB, alloc=4.6MB, time=214.08
NO POLE
NO POLE
t[1] = 0.5272
x1[1] (analytic) = 2.0010624596715439161438512239188
x1[1] (numeric) = 2.0010616512572317504640792144169
absolute error = 8.084143121656797720095019e-07
relative error = 4.0399254319046771816054605863897e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007511271090562175169896603662
x2[1] (numeric) = 1.0007515458496943519725918689338
absolute error = 4.187406381344556022085676e-07
relative error = 4.1842634676225911212111313261344e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1464.8MB, alloc=4.6MB, time=214.79
NO POLE
NO POLE
t[1] = 0.5273
x1[1] (analytic) = 2.0010623534308888830377713222909
x1[1] (numeric) = 2.0010615390610604958876018196827
absolute error = 8.143698283871501695026082e-07
relative error = 4.0696874187397790841615158044215e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007512242238615804938539831496
x2[1] (numeric) = 1.0007516461050663589025888502785
absolute error = 4.218812047784087348671289e-07
relative error = 4.2156451530259296109675799566675e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1468.6MB, alloc=4.6MB, time=215.51
memory used=1472.5MB, alloc=4.6MB, time=216.24
NO POLE
NO POLE
t[1] = 0.5274
x1[1] (analytic) = 2.0010622472008573842494331963011
x1[1] (numeric) = 2.0010614268536523399794135585595
absolute error = 8.203472050442700196377416e-07
relative error = 4.0995586528694694667261513985459e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007513213634041453487679773055
x2[1] (numeric) = 1.0007517463973227084175647881075
absolute error = 4.250339185630687968108020e-07
relative error = 4.2471482124451342111142198044909e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1476.3MB, alloc=4.6MB, time=216.95
NO POLE
NO POLE
t[1] = 0.5275
x1[1] (analytic) = 2.0010621409814483574785209728157
x1[1] (numeric) = 2.0010613146350061617820674059477
absolute error = 8.263464421956964535668680e-07
relative error = 4.1295391346038035254959669068448e-05 %
h = 0.0001
x2[1] (analytic) = 1.000751418527688328813606896037
x2[1] (numeric) = 1.0007518467264724606254398034516
absolute error = 4.281987841318118329074146e-07
relative error = 4.2787726922414012684736295055439e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1480.1MB, alloc=4.6MB, time=217.65
NO POLE
NO POLE
t[1] = 0.5276
x1[1] (analytic) = 2.0010620347726607405309434989638
x1[1] (numeric) = 2.0010612024051208402266244325669
absolute error = 8.323675399003043190663969e-07
relative error = 4.1596288642539211116108991463796e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007515157167185485567983799343
x2[1] (numeric) = 1.000751947092524677613814518667
absolute error = 4.313758061290570161387327e-07
relative error = 4.3105186387863140023019338134554e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1483.9MB, alloc=4.6MB, time=218.37
memory used=1487.7MB, alloc=4.6MB, time=219.09
NO POLE
NO POLE
t[1] = 0.5277
x1[1] (analytic) = 2.0010619285744934713188237201966
x1[1] (numeric) = 2.0010610901639952541326427822212
absolute error = 8.384104982171861809379754e-07
relative error = 4.1898278421320467340004571471903e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007516129304992231835044746836
x2[1] (numeric) = 1.0007520474954884234503826178614
absolute error = 4.345649892002668781431778e-07
relative error = 4.3423860984618447859669124886102e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1491.5MB, alloc=4.6MB, time=219.81
NO POLE
NO POLE
t[1] = 0.5278
x1[1] (analytic) = 2.0010618223869454878604880594079
x1[1] (numeric) = 2.0010609779116282822081666479869
absolute error = 8.444753172056523214114210e-07
relative error = 4.2201360685514895622404772413365e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007517101690347722358036857128
x2[1] (numeric) = 1.0007521479353727641833434914658
absolute error = 4.377663379919475398057530e-07
relative error = 4.3743751176603574290868256753727e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1495.3MB, alloc=4.6MB, time=220.52
memory used=1499.2MB, alloc=4.6MB, time=221.28
NO POLE
NO POLE
t[1] = 0.5279
x1[1] (analytic) = 2.0010617162100157282804557971183
x1[1] (numeric) = 2.0010608656480188030497152473248
absolute error = 8.505619969252307405497935e-07
relative error = 4.2505535438266434294203998414040e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007518074323296161928730697844
x2[1] (numeric) = 1.0007522484121867678418149649684
absolute error = 4.409798571516489418951840e-07
relative error = 4.4064857427846094601300106263210e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1503.0MB, alloc=4.6MB, time=222.04
NO POLE
NO POLE
t[1] = 0.528
x1[1] (analytic) = 2.0010616100437031308094284527197
x1[1] (numeric) = 2.001060753373165695142271796115
absolute error = 8.566705374356671566566047e-07
relative error = 4.2810802682729868350210614471504e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007519047203881764711703635398
x2[1] (numeric) = 1.0007523489259395044362461118279
absolute error = 4.442055513279650757482881e-07
relative error = 4.4387180202477544094753755768136e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1506.8MB, alloc=4.6MB, time=222.80
NO POLE
NO POLE
memory used=1510.6MB, alloc=4.6MB, time=223.50
t[1] = 0.5281
x1[1] (analytic) = 2.0010615038880066337842791667825
x1[1] (numeric) = 2.0010606410870678368592724816154
absolute error = 8.628009387969250066851671e-07
relative error = 4.3117162422070829478030079123105e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007520020332148754246161490056
x2[1] (numeric) = 1.0007524494766400459588301505831
absolute error = 4.474434251705342140015775e-07
relative error = 4.4710719964733440929338486220205e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1514.4MB, alloc=4.6MB, time=224.19
NO POLE
NO POLE
t[1] = 0.5282
x1[1] (analytic) = 2.0010613977429251756480420844244
x1[1] (numeric) = 2.0010605287897241064625954343434
absolute error = 8.689532010691854466500810e-07
relative error = 4.3424614659465796087053260083586e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007520993708141363447760560659
x2[1] (numeric) = 1.0007525500642974663839174261759
absolute error = 4.506934833300391413701100e-07
relative error = 4.5035477178953308957309073952638e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1518.2MB, alloc=4.6MB, time=224.86
NO POLE
NO POLE
t[1] = 0.5283
x1[1] (analytic) = 2.0010612916084576949499017397408
x1[1] (numeric) = 2.0010604164811333821025496988803
absolute error = 8.751273243128473520408605e-07
relative error = 4.3733159398102093337549958190982e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007521967331903834610430019108
x2[1] (numeric) = 1.0007526506889208416684284755046
absolute error = 4.539557304582073854735938e-07
relative error = 4.5361452309580700569502513923232e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1522.0MB, alloc=4.6MB, time=225.54
memory used=1525.9MB, alloc=4.6MB, time=226.21
NO POLE
NO POLE
t[1] = 0.5284
x1[1] (analytic) = 2.0010611854846031303451824412962
x1[1] (numeric) = 2.0010603041612945418178642035992
absolute error = 8.813233085885273182376970e-07
relative error = 4.4042796641177893169867570049820e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007522941203480419408194674664
x2[1] (numeric) = 1.0007527513505192497522671772245
absolute error = 4.572301712078114477097581e-07
relative error = 4.5688645821163219544387287465816e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1529.7MB, alloc=4.6MB, time=226.89
NO POLE
NO POLE
t[1] = 0.5285
x1[1] (analytic) = 2.0010610793713604205953376586782
x1[1] (numeric) = 2.0010601918302064635356767293153
absolute error = 8.875411539570596609293629e-07
relative error = 4.4353526391902214333735024651797e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007523915322915378896998108156
x2[1] (numeric) = 1.0007528520491017705587339858129
absolute error = 4.605168102326690341749973e-07
relative error = 4.6017058178352543901725902869334e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1533.5MB, alloc=4.6MB, time=227.54
memory used=1537.3MB, alloc=4.6MB, time=228.20
NO POLE
NO POLE
t[1] = 0.5286
x1[1] (analytic) = 2.0010609732687285045679394101111
x1[1] (numeric) = 2.0010600794878680250715228768591
absolute error = 8.937808604794964165332520e-07
relative error = 4.4665348653494922417671819418583e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007524889690252983516526176144
x2[1] (numeric) = 1.0007529527846774859949392499153
absolute error = 4.638156521876432866323009e-07
relative error = 4.6346689845904448760851866758401e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1541.1MB, alloc=4.6MB, time=228.86
NO POLE
NO POLE
t[1] = 0.5287
x1[1] (analytic) = 2.0010608671767063212366676511324
x1[1] (numeric) = 2.0010599671342781041293250335723
absolute error = 9.000424282171073426175601e-07
relative error = 4.4978263429186729878502330925524e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007525864305537513092030885139
x2[1] (numeric) = 1.0007530535572554799522166149901
absolute error = 4.671267017286430135264762e-07
relative error = 4.6677541288678829203561744602300e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1544.9MB, alloc=4.6MB, time=229.51
NO POLE
NO POLE
t[1] = 0.5288
x1[1] (analytic) = 2.0010607610952928096812996643292
x1[1] (numeric) = 2.0010598547694355783013813387265
absolute error = 9.063258572313799183256027e-07
relative error = 4.5292270722219196070975245740137e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007526839168813256836154635936
x2[1] (numeric) = 1.0007531543668448383065365102687
absolute error = 4.704499635126229210466751e-07
relative error = 4.7009612971639723141623388341505e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1548.7MB, alloc=4.6MB, time=230.16
memory used=1552.6MB, alloc=4.6MB, time=230.84
NO POLE
NO POLE
t[1] = 0.5289
x1[1] (analytic) = 2.0010606550244869090876994501361
x1[1] (numeric) = 2.0010597423933393250683546478636
absolute error = 9.126311475840193448022725e-07
relative error = 4.5607370535844727277488246655312e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007527814280124513350754838131
x2[1] (numeric) = 1.0007532552134546489189197200478
absolute error = 4.737854421975838442362347e-07
relative error = 4.7342905359855334188901249218525e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1556.4MB, alloc=4.6MB, time=231.52
NO POLE
NO POLE
t[1] = 0.529
x1[1] (analytic) = 2.0010605489642875587478071186937
x1[1] (numeric) = 2.0010596300059882217992614960594
absolute error = 9.189582993369485456226343e-07
relative error = 4.5923562873326576737917834732326e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007528789639515590628728894916
x2[1] (numeric) = 1.0007533560970940016358510393315
absolute error = 4.771331424425729781498399e-07
relative error = 4.7677418918498054538099543990144e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1560.2MB, alloc=4.6MB, time=232.18
memory used=1564.0MB, alloc=4.6MB, time=232.86
NO POLE
NO POLE
t[1] = 0.5291
x1[1] (analytic) = 2.001060442914693698059628282768
x1[1] (numeric) = 2.001059517607381145751461060109
absolute error = 9.253073125523081672226590e-07
relative error = 4.6240847737938844679554372460010e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007529765247030806055839558198
x2[1] (numeric) = 1.0007534570177719882896930138392
absolute error = 4.804930689076841090580194e-07
relative error = 4.8013154112844487842124362435244e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1567.8MB, alloc=4.6MB, time=233.53
NO POLE
NO POLE
t[1] = 0.5292
x1[1] (analytic) = 2.0010603368757042665272234517306
x1[1] (numeric) = 2.0010594051975169740706441196343
absolute error = 9.316781872924565793320963e-07
relative error = 4.6559225132966478347142328391994e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007530741102714486412540654137
x2[1] (numeric) = 1.0007535579754977026990997643978
absolute error = 4.838652262540578456989841e-07
relative error = 4.8350111408275472100065564230163e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1571.6MB, alloc=4.6MB, time=234.18
NO POLE
NO POLE
t[1] = 0.5293
x1[1] (analytic) = 2.0010602308473182037606974265993
x1[1] (numeric) = 2.0010592927763945837908220171139
absolute error = 9.380709236199698754094854e-07
relative error = 4.6878695061705272033025688631860e-05 %
h = 0.0001
x2[1] (analytic) = 1.000753171720661096787580317917
x2[1] (numeric) = 1.0007536589702802406694308957337
absolute error = 4.872496191438818505778167e-07
relative error = 4.8688291270276102547799293256314e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1575.5MB, alloc=4.6MB, time=234.85
memory used=1579.3MB, alloc=4.6MB, time=235.54
NO POLE
NO POLE
t[1] = 0.5294
x1[1] (analytic) = 2.0010601248295344494761886961389
x1[1] (numeric) = 2.0010591803440128518343156168345
absolute error = 9.444855215976418730793044e-07
relative error = 4.7199257527461867107398570498838e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007532693558764596020941766587
x2[1] (numeric) = 1.0007537600021286999931654896828
absolute error = 4.906462522403910713130241e-07
relative error = 4.9027694164435754553212217171583e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1583.1MB, alloc=4.6MB, time=236.20
NO POLE
NO POLE
t[1] = 0.5295
x1[1] (analytic) = 2.0010600188223519434958588340228
x1[1] (numeric) = 2.0010590679003706550117442627643
absolute error = 9.509219812884841145712585e-07
relative error = 4.7520912533553752048661043722506e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007533670159219725823441523744
x2[1] (numeric) = 1.000753861071052180450316182835
absolute error = 4.940551302078679720304606e-07
relative error = 4.9368320556448106516048240325337e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1586.9MB, alloc=4.6MB, time=236.86
memory used=1590.7MB, alloc=4.6MB, time=237.56
NO POLE
NO POLE
t[1] = 0.5296
x1[1] (analytic) = 2.0010599128257696257478818970545
x1[1] (numeric) = 2.0010589554454668700220147353483
absolute error = 9.573803027557258671617062e-07
relative error = 4.7843660083309262473880119538760e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007534647008020721660785239981
x2[1] (numeric) = 1.0007539621770597838088433286301
absolute error = 4.974762577116427648046320e-07
relative error = 4.9710170912111162772378647916437e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1594.5MB, alloc=4.6MB, time=238.21
NO POLE
NO POLE
t[1] = 0.5297
x1[1] (analytic) = 2.0010598068397864362664338244493
x1[1] (numeric) = 2.001058842979300373452310207225
absolute error = 9.638604860628141236172243e-07
relative error = 4.8167500180067581169355948016832e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007535624105211957314280965322
x2[1] (numeric) = 1.0007540633201606138250692439226
absolute error = 5.009096394180936411473904e-07
relative error = 5.0053245697327276503696609293660e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1598.3MB, alloc=4.6MB, time=238.88
NO POLE
NO POLE
t[1] = 0.5298
x1[1] (analytic) = 2.0010597008644013151916818381764
x1[1] (numeric) = 2.0010587305018700417780791978649
absolute error = 9.703625312734136026403115e-07
relative error = 4.8492432827178738121293213973553e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007536601450837815970889960014
x2[1] (numeric) = 1.0007541645003637762440925400324
absolute error = 5.043552799946470035440310e-07
relative error = 5.0397545378103172650637118162529e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1602.2MB, alloc=4.6MB, time=239.56
memory used=1606.0MB, alloc=4.6MB, time=240.24
NO POLE
NO POLE
t[1] = 0.5299
x1[1] (analytic) = 2.0010595948996132027697738443598
x1[1] (numeric) = 2.00105861801317475136302452713
absolute error = 9.768864384514067493172298e-07
relative error = 4.8818458028003610546577691846942e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007537579044942690225055015017
x2[1] (numeric) = 1.0007542657176783788002025382978
absolute error = 5.078131841097776970367961e-07
relative error = 5.0743070420549970831322837899074e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1609.8MB, alloc=4.6MB, time=240.94
NO POLE
NO POLE
t[1] = 0.53
x1[1] (analytic) = 2.0010594889454210393528278357407
x1[1] (numeric) = 2.0010585055132133784590922677551
absolute error = 9.834322076608937355679856e-07
relative error = 4.9145575785913922923658054829490e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007538556887570982080529143471
x2[1] (numeric) = 1.000754366972113531217293770149
absolute error = 5.112833564330092408558019e-07
relative error = 5.1089821290883208264337359365840e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1613.6MB, alloc=4.6MB, time=241.62
memory used=1617.4MB, alloc=4.6MB, time=242.34
NO POLE
NO POLE
t[1] = 0.5301
x1[1] (analytic) = 2.0010593830018237653989212951981
x1[1] (numeric) = 2.0010583930019847992064606967498
absolute error = 9.899998389661924605984483e-07
relative error = 4.9473786104292247023532828670197e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007539534978767102952204643249
x2[1] (numeric) = 1.0007544682636783452092805617178
absolute error = 5.147658016349140600973929e-07
relative error = 5.1437798455422862696326299415687e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1621.2MB, alloc=4.6MB, time=243.05
NO POLE
NO POLE
t[1] = 0.5302
x1[1] (analytic) = 2.0010592770688203214720806003294
x1[1] (numeric) = 2.0010582804794878896335292457222
absolute error = 9.965893324318385513546072e-07
relative error = 4.9803088986532001940842530474742e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007540513318575473667942530657
x2[1] (numeric) = 1.0007545695923819344805117030018
absolute error = 5.182605243871137174499361e-07
relative error = 5.1787002380593375334227407689436e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1625.0MB, alloc=4.6MB, time=243.76
NO POLE
NO POLE
memory used=1628.9MB, alloc=4.6MB, time=244.47
t[1] = 0.5303
x1[1] (analytic) = 2.0010591711464096482422704290913
x1[1] (numeric) = 2.0010581679457215256569074501231
absolute error = 1.0032006881225853629789682e-06
relative error = 5.0133484436037454125067067814644e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007541491907040524470402345349
x2[1] (numeric) = 1.0007546709582334147261852015997
absolute error = 5.217675293622791449670648e-07
relative error = 5.2137433532923673782130609471413e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1632.7MB, alloc=4.6MB, time=245.21
NO POLE
NO POLE
t[1] = 0.5304
x1[1] (analytic) = 2.001059065234590686485383166499
x1[1] (numeric) = 2.0010580554006845830814038974116
absolute error = 1.0098339061034039792690874e-06
relative error = 5.0464972456223717411828253572716e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007542470744206695018872326544
x2[1] (numeric) = 1.000754772361241903632763121034
absolute error = 5.252868212341308758883796e-07
relative error = 5.2489092379047194982768692510128e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1636.5MB, alloc=4.6MB, time=245.93
NO POLE
NO POLE
t[1] = 0.5305
x1[1] (analytic) = 2.001058959333362377083228312385
x1[1] (numeric) = 2.0010579428443759376000151741409
absolute error = 1.0164889864394832131382441e-06
relative error = 5.0797553050516753054297561809030e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007543449830118434391099960612
x2[1] (numeric) = 1.0007548738014165208783865036799
absolute error = 5.288184046774392765076187e-07
relative error = 5.2841979385701908163639795349739e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1640.3MB, alloc=4.6MB, time=246.62
memory used=1644.1MB, alloc=4.6MB, time=247.36
NO POLE
NO POLE
t[1] = 0.5306
x1[1] (analytic) = 2.0010588534427236610235218902176
x1[1] (numeric) = 2.0010578302767944647939148119653
absolute error = 1.0231659291962296070782523e-06
relative error = 5.1131226222353369754709080021553e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007544429164820201085122900094
x2[1] (numeric) = 1.0007549752787663881332903783157
absolute error = 5.323622843680247780883063e-07
relative error = 5.3196095019730337787762524943997e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1647.9MB, alloc=4.6MB, time=248.13
NO POLE
NO POLE
t[1] = 0.5307
x1[1] (analytic) = 2.0010587475626734793998758569777
x1[1] (numeric) = 2.0010577176979390401324422325678
absolute error = 1.0298647344392674336244099e-06
relative error = 5.1465991975181223695977618172958e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007545408748356463021100254246
x2[1] (numeric) = 1.0007550767933006290602188523128
absolute error = 5.359184649827581088268882e-07
relative error = 5.3551439748079586509064561279046e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1651.7MB, alloc=4.6MB, time=248.90
NO POLE
NO POLE
memory used=1655.6MB, alloc=4.6MB, time=249.69
t[1] = 0.5308
x1[1] (analytic) = 2.0010586416932107734117875140951
x1[1] (numeric) = 2.0010576051078085389730916915078
absolute error = 1.0365854022344386958225873e-06
relative error = 5.1801850312458818573422059788780e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007546388580771697543144251171
x2[1] (numeric) = 1.0007551783450283693148402884822
absolute error = 5.394869511995605258633651e-07
relative error = 5.3908014037801358132405746603456e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1659.4MB, alloc=4.6MB, time=250.43
NO POLE
NO POLE
t[1] = 0.5309
x1[1] (analytic) = 2.0010585358343344843646289194435
x1[1] (numeric) = 2.0010574925064018365615012209895
absolute error = 1.0433279326478031276984540e-06
relative error = 5.2138801237655505626593885514154e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007547368662110391421152271615
x2[1] (numeric) = 1.0007552799339587365461625665947
absolute error = 5.430677476974040473394332e-07
relative error = 5.4265818356051980578236566908980e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1663.2MB, alloc=4.6MB, time=251.21
NO POLE
NO POLE
t[1] = 0.531
x1[1] (analytic) = 2.0010584299860435536696363003938
x1[1] (numeric) = 2.0010573798937178080314415715508
absolute error = 1.0500923257456381947288430e-06
relative error = 5.2476844754251483671210859484474e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007548348992417040852639254503
x2[1] (numeric) = 1.0007553815601008603969484295912
absolute error = 5.466608591563116845041409e-07
relative error = 5.4624853170092428851892853343236e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1667.0MB, alloc=4.6MB, time=251.98
memory used=1670.8MB, alloc=4.6MB, time=252.76
NO POLE
NO POLE
t[1] = 0.5311
x1[1] (analytic) = 2.0010583241483369228438994679272
x1[1] (numeric) = 2.0010572672697553284048051526717
absolute error = 1.0568785815944390943152555e-06
relative error = 5.2815980865737799131196003793828e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007549329571736151464570474278
x2[1] (numeric) = 1.0007554832234638725041309145011
absolute error = 5.502662902573576738670733e-07
relative error = 5.4985118947288348017527820994240e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1674.6MB, alloc=4.6MB, time=253.53
NO POLE
NO POLE
t[1] = 0.5312
x1[1] (analytic) = 2.0010582183212135335103512318053
x1[1] (numeric) = 2.0010571546345132725915949723037
absolute error = 1.0636867002609187562595016e-06
relative error = 5.3156209575616346070821646524941e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007550310400112238315194690134
x2[1] (numeric) = 1.0007555849240569064992288680856
absolute error = 5.538840456826677093990722e-07
relative error = 5.5346616155110076176682162765527e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1678.5MB, alloc=4.6MB, time=254.29
memory used=1682.3MB, alloc=4.6MB, time=255.07
NO POLE
NO POLE
t[1] = 0.5313
x1[1] (analytic) = 2.0010581125046723273977568167999
x1[1] (numeric) = 2.0010570419879905153899135753182
absolute error = 1.0705166818120078432414817e-06
relative error = 5.3497530887399866226958778566110e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007551291477589825895877667211
x2[1] (numeric) = 1.0007556866618890980087625472227
absolute error = 5.575141301154191747805016e-07
relative error = 5.5709345261132667451493145864673e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1686.1MB, alloc=4.6MB, time=255.84
NO POLE
NO POLE
t[1] = 0.5314
x1[1] (analytic) = 2.0010580066987122463407032799807
x1[1] (numeric) = 2.0010569293301859314859519808758
absolute error = 1.0773685263148547512991049e-06
relative error = 5.3839944804611949041431534662825e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007552272804213448132936069806
x2[1] (numeric) = 1.0007557884369695846546693040512
absolute error = 5.611565482398413756970706e-07
relative error = 5.6073306733035914972543848261998e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1689.9MB, alloc=4.6MB, time=256.54
NO POLE
NO POLE
t[1] = 0.5315
x1[1] (analytic) = 2.0010579009033322322795889290607
x1[1] (numeric) = 2.0010568166610983954539786187145
absolute error = 1.0842422338368256103103462e-06
relative error = 5.4183451330787031693476889006205e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007553254380027648389471726715
x2[1] (numeric) = 1.0007558902493075060547193558911
absolute error = 5.648113047412157721832196e-07
relative error = 5.6438501038604373871353072905911e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1693.7MB, alloc=4.6MB, time=257.21
memory used=1697.5MB, alloc=4.6MB, time=257.89
NO POLE
NO POLE
t[1] = 0.5316
x1[1] (analytic) = 2.0010577951185312272606127418006
x1[1] (numeric) = 2.0010567039807267817563282643582
absolute error = 1.0911378044455042844774424e-06
relative error = 5.4528050469470399132309560710503e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007554236205076979467206268734
x2[1] (numeric) = 1.0007559920989120038229316399568
absolute error = 5.684784043058762110130834e-07
relative error = 5.6804928645727384277507246878190e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1701.3MB, alloc=4.6MB, time=258.57
NO POLE
NO POLE
t[1] = 0.5317
x1[1] (analytic) = 2.0010576893443081734357637864707
x1[1] (numeric) = 2.0010565912890699647433909732444
absolute error = 1.0980552382086923728132263e-06
relative error = 5.4873742224218184109792109539895e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007555218279406003608316138428
x2[1] (numeric) = 1.0007560939857922215699897528813
absolute error = 5.721578516212091581390385e-07
relative error = 5.7172590022399094320434983124642e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1705.2MB, alloc=4.6MB, time=259.25
memory used=1709.0MB, alloc=4.6MB, time=259.95
NO POLE
NO POLE
t[1] = 0.5318
x1[1] (analytic) = 2.0010575835806620130628106433706
x1[1] (numeric) = 2.0010564785861268186536010137714
absolute error = 1.1049945351944092096295992e-06
relative error = 5.5220526598597367213210222234047e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007556200603059292497267972224
x2[1] (numeric) = 1.0007561959099573049036579750672
absolute error = 5.758496513756539311778448e-07
relative error = 5.7541485636718483135825272155401e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1712.8MB, alloc=4.6MB, time=260.63
NO POLE
NO POLE
t[1] = 0.5319
x1[1] (analytic) = 2.0010574778275916885052908274071
x1[1] (numeric) = 2.0010563658718962176134257992654
absolute error = 1.1119556954708918650281417e-06
relative error = 5.5568403596185776898153189781893e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007557183176081427262654354908
x2[1] (numeric) = 1.000756297871416401429197379883
absolute error = 5.795538082587029319443922e-07
relative error = 5.7911615956889383876690301063554e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1716.6MB, alloc=4.6MB, time=261.31
NO POLE
NO POLE
t[1] = 0.532
x1[1] (analytic) = 2.0010573720850961422325002117293
x1[1] (numeric) = 2.0010562531463770356373548188659
absolute error = 1.1189387191065951453928634e-06
relative error = 5.5917373220572089521499605977171e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007558165998516998479029946599
x2[1] (numeric) = 1.0007563998701786607497820277204
absolute error = 5.832703269609018790330605e-07
relative error = 5.8282981451220506729073687346651e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1720.4MB, alloc=4.6MB, time=261.98
memory used=1724.2MB, alloc=4.6MB, time=262.66
NO POLE
NO POLE
t[1] = 0.5321
x1[1] (analytic) = 2.001057266353174316819482452422
x1[1] (numeric) = 2.0010561404095681466278885673312
absolute error = 1.1259436061701915938850908e-06
relative error = 5.6267435475355829374508252623493e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007559149070410606168747982268
x2[1] (numeric) = 1.000756501906253234466915244931
absolute error = 5.869992121738500404467042e-07
relative error = 5.8655582588125461932405234751294e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1728.0MB, alloc=4.6MB, time=263.32
NO POLE
NO POLE
t[1] = 0.5322
x1[1] (analytic) = 2.0010571606318251549470184142555
x1[1] (numeric) = 2.0010560276614684243755274737624
absolute error = 1.1329703567305714909404931e-06
relative error = 5.6618590364147368716014156746164e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007560132391806859803797143892
x2[1] (numeric) = 1.000756603979649276180845987659
absolute error = 5.907404685902004662732698e-07
relative error = 5.9029419836122782804502918640185e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1731.9MB, alloc=4.6MB, time=263.99
memory used=1735.7MB, alloc=4.6MB, time=264.67
NO POLE
NO POLE
t[1] = 0.5323
x1[1] (analytic) = 2.001057054921047599401615597494
x1[1] (numeric) = 2.0010559149020767425587608292467
absolute error = 1.1400189708568428547682473e-06
relative error = 5.6970837890567927805729890122849e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007561115962750378307638805296
x2[1] (numeric) = 1.0007567060903759414909852905867
absolute error = 5.944941009036602214100571e-07
relative error = 5.9404493663835948771223198063933e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1739.5MB, alloc=4.6MB, time=265.35
NO POLE
NO POLE
t[1] = 0.5324
x1[1] (analytic) = 2.0010569492208405930754975657604
x1[1] (numeric) = 2.0010558021313919747440557134191
absolute error = 1.1470894486183314418523413e-06
relative error = 5.7324178058249574937652046516622e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007562099783285790057044649777
x2[1] (numeric) = 1.0007568082384423879963228006104
absolute error = 5.982601138089906183356327e-07
relative error = 5.9780804539993408400760421946161e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1743.3MB, alloc=4.6MB, time=266.06
NO POLE
NO POLE
t[1] = 0.5325
x1[1] (analytic) = 2.0010568435312030789665933749583
x1[1] (numeric) = 2.0010556893494129943858459199434
absolute error = 1.1541817900845807474550149e-06
relative error = 5.7678610870835226473572891963002e-05 %
h = 0.0001
memory used=1747.1MB, alloc=4.6MB, time=266.74
x2[1] (analytic) = 1.0007563083853457732883934660563
x2[1] (numeric) = 1.000756910423857775295843395464
absolute error = 6.020385120020074499294077e-07
relative error = 6.0158352933428602442596476480804e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1750.9MB, alloc=4.6MB, time=267.41
NO POLE
NO POLE
t[1] = 0.5326
x1[1] (analytic) = 2.0010567378521340001785270032518
x1[1] (numeric) = 2.0010555765561386748265208809115
absolute error = 1.1612959953253520061223403e-06
relative error = 5.8034136331978646876697268417691e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007564068173310854077215484207
x2[1] (numeric) = 1.0007570126466312649889438873069
absolute error = 6.058293001795812223388862e-07
relative error = 6.0537139313079986871101281225442e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1754.7MB, alloc=4.6MB, time=268.07
NO POLE
NO POLE
t[1] = 0.5327
x1[1] (analytic) = 2.0010566321836322999206067821013
x1[1] (numeric) = 2.0010554637515678892964145901612
absolute error = 1.1684320644106241921919401e-06
relative error = 5.8390754445344448745364651166757e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007565052742889810384619166964
x2[1] (numeric) = 1.0007571149067720206758498112934
absolute error = 6.096324830396373878945970e-07
relative error = 6.0917164147991055933785320913769e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1758.6MB, alloc=4.6MB, time=268.75
memory used=1762.4MB, alloc=4.6MB, time=269.45
NO POLE
NO POLE
t[1] = 0.5328
x1[1] (analytic) = 2.0010565265256969215078148283567
x1[1] (numeric) = 2.001055350935699510913794525513
absolute error = 1.1755899974105940203028437e-06
relative error = 5.8748465214608092846876405324264e-05 %
h = 0.0001
x2[1] (analytic) = 1.000756603756223926801454226424
x2[1] (numeric) = 1.0007572172042892079580322991417
absolute error = 6.134480652811565780727177e-07
relative error = 6.1298427907310365204205080229005e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1766.2MB, alloc=4.6MB, time=270.13
NO POLE
NO POLE
t[1] = 0.5329
x1[1] (analytic) = 2.0010564208783268083607964774074
x1[1] (numeric) = 2.0010552381085324126848505699243
absolute error = 1.1827697943956759459074831e-06
relative error = 5.9107268643455888151428291739730e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007567022631403902637885323188
x2[1] (numeric) = 1.0007573195391919944386250377181
absolute error = 6.172760516041748365053993e-07
relative error = 6.1680931060291554639522138840494e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1770.0MB, alloc=4.6MB, time=270.79
NO POLE
NO POLE
memory used=1773.8MB, alloc=4.6MB, time=271.46
t[1] = 0.533
x1[1] (analytic) = 2.0010563152415209040058497173883
x1[1] (numeric) = 2.0010551252700654675036839315627
absolute error = 1.1899714554365021657858256e-06
relative error = 5.9467164735584991866148097730107e-05 %
h = 0.0001
x2[1] (analytic) = 1.000756800795042839938989273852
x2[1] (numeric) = 1.0007574219114895497228413126551
absolute error = 6.211164467097838520388031e-07
relative error = 6.2064674076293371642717053703290e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1777.6MB, alloc=4.6MB, time=272.14
NO POLE
NO POLE
t[1] = 0.5331
x1[1] (analytic) = 2.0010562096152781520749146244434
x1[1] (numeric) = 2.0010550124202975481522960627971
absolute error = 1.1971949806039226185616463e-06
relative error = 5.9828153494703409469238537908292e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007568993519357452871992981598
x2[1] (numeric) = 1.0007575243211910454183911370192
absolute error = 6.249692553001311918388594e-07
relative error = 6.2449657424779694129458925771503e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1781.5MB, alloc=4.6MB, time=272.81
NO POLE
NO POLE
t[1] = 0.5332
x1[1] (analytic) = 2.0010561039995974963055627990445
x1[1] (numeric) = 2.0010548995592275273005775781066
absolute error = 1.2044403699690049852209379e-06
relative error = 6.0190234924529994744225300522768e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007569979338235767153639202912
x2[1] (numeric) = 1.0007576267683056551358984650468
absolute error = 6.288344820784205345447556e-07
relative error = 6.2835881575319553599631358396782e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1785.3MB, alloc=4.6MB, time=273.49
memory used=1789.1MB, alloc=4.6MB, time=274.16
NO POLE
NO POLE
t[1] = 0.5333
x1[1] (analytic) = 2.0010559983944778805409868033675
x1[1] (numeric) = 2.0010547866868542775062971709079
absolute error = 1.2117076236030346896324596e-06
relative error = 6.0553409028794449814310329609273e-05 %
h = 0.0001
x2[1] (analytic) = 1.000757096540710805577415020798
x2[1] (numeric) = 1.0007577292528425544893184909646
absolute error = 6.327121317489119034701666e-07
relative error = 6.3223346997587158213516044260131e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1792.9MB, alloc=4.6MB, time=274.84
NO POLE
NO POLE
t[1] = 0.5334
x1[1] (analytic) = 2.0010558927999182487299895997239
x1[1] (numeric) = 2.0010546738031766712150905293
absolute error = 1.2189967415775148990704239e-06
relative error = 6.0917675811237325176830283334629e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007571951726019041744551806768
x2[1] (numeric) = 1.0007578317748109210963550329117
absolute error = 6.366022090169218998522349e-07
relative error = 6.3612054161361915872634668077857e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1796.7MB, alloc=4.6MB, time=275.52
memory used=1800.5MB, alloc=4.6MB, time=276.20
NO POLE
NO POLE
t[1] = 0.5335
x1[1] (analytic) = 2.0010557872159175449269739900491
x1[1] (numeric) = 2.0010545609081935807604492507267
absolute error = 1.2263077239641665247393224e-06
relative error = 6.1283035275610019737820223851993e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007572938295013457549418536696
x2[1] (numeric) = 1.0007579343342199345788780019809
absolute error = 6.405047185888239361483113e-07
relative error = 6.4002003536528457305250162035127e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1804.3MB, alloc=4.6MB, time=276.89
NO POLE
NO POLE
t[1] = 0.5336
x1[1] (analytic) = 2.0010556816424747132919320564464
x1[1] (numeric) = 2.0010544480019038783637097555571
absolute error = 1.2336405708349282223008893e-06
relative error = 6.1649487425674780846682474050129e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007573925114136045148715759309
x2[1] (numeric) = 1.0007580369310787765633409563964
absolute error = 6.444196651720484693804655e-07
relative error = 6.4393195593076659156528190998609e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1808.2MB, alloc=4.6MB, time=277.58
NO POLE
NO POLE
t[1] = 0.5337
x1[1] (analytic) = 2.0010555760795886980904346027865
x1[1] (numeric) = 2.0010543350843064361340421995832
absolute error = 1.2409952822619563924032033e-06
relative error = 6.2017032265204704330960676526419e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007574912183431555979642130683
x2[1] (numeric) = 1.0007581395653966306811987408445
absolute error = 6.483470534750832345277762e-07
relative error = 6.4785630801101667083359774514189e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1812.0MB, alloc=4.6MB, time=278.29
memory used=1815.8MB, alloc=4.6MB, time=279.01
NO POLE
NO POLE
t[1] = 0.5338
x1[1] (analytic) = 2.0010554705272584436936205973638
x1[1] (numeric) = 2.0010542221554001260684393854352
absolute error = 1.2483718583176251812119286e-06
relative error = 6.2385669797983734531219090113242e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007575899502944750958472445636
x2[1] (numeric) = 1.0007582422371826825693252109755
absolute error = 6.522868882074734779664119e-07
relative error = 6.5179309630803918853846112451685e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1819.6MB, alloc=4.6MB, time=279.68
NO POLE
NO POLE
t[1] = 0.5339
x1[1] (analytic) = 2.0010553649854828945781866166074
x1[1] (numeric) = 2.0010541092151838200517056729138
absolute error = 1.2557702990745264809436936e-06
relative error = 6.2755400027806664336027054342772e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007576887072720400482400855832
x2[1] (numeric) = 1.0007583449464461198704310430927
absolute error = 6.562391740798221909575095e-07
relative error = 6.5574232552489167451446271445810e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1823.4MB, alloc=4.6MB, time=280.36
memory used=1827.2MB, alloc=4.6MB, time=281.05
NO POLE
NO POLE
t[1] = 0.534
x1[1] (analytic) = 2.0010552594542609953263762898481
x1[1] (numeric) = 2.0010539962636563898564458882401
absolute error = 1.2631906046054699304016080e-06
relative error = 6.3126222958479135217048657179662e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007577874892803284431384461841
x2[1] (numeric) = 1.000758447693196132233481629047
absolute error = 6.602039158037903431828629e-07
relative error = 6.5970400036568504183788898873827e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1831.0MB, alloc=4.6MB, time=281.73
NO POLE
NO POLE
t[1] = 0.5341
x1[1] (analytic) = 2.001055153933591690625969745141
x1[1] (numeric) = 2.0010538833008167071430542322222
absolute error = 1.2706327749834829155129188e-06
relative error = 6.3498138593817637264237631356367e-05 %
h = 0.0001
x2[1] (analytic) = 1.000757886296323819216998727923
x2[1] (numeric) = 1.0007585504774419113141150563534
absolute error = 6.641811180920971163284304e-07
relative error = 6.6367812553558381796148791344674e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1834.9MB, alloc=4.6MB, time=282.41
NO POLE
NO POLE
t[1] = 0.5342
x1[1] (analytic) = 2.0010550484234739252702730561432
x1[1] (numeric) = 2.0010537703266636434597031873393
absolute error = 1.2780968102818105698688039e-06
relative error = 6.3871146937649509221137414693247e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007579851284069922549224578759
x2[1] (numeric) = 1.0007586532991926507750601735471
absolute error = 6.681707856585201377156712e-07
relative error = 6.6766470574080637589589294537815e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1838.7MB, alloc=4.6MB, time=283.10
memory used=1842.5MB, alloc=4.6MB, time=283.78
NO POLE
NO POLE
t[1] = 0.5343
x1[1] (analytic) = 2.0010549429239066441581076900466
x1[1] (numeric) = 2.0010536573411960702423324237421
absolute error = 1.2855827105739157752663045e-06
relative error = 6.4245247993812938520286434719578e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007580839855343283908407600769
x2[1] (numeric) = 1.0007587561584575462865547407957
absolute error = 6.721729232178957139807188e-07
relative error = 6.7166374568862516543771261396388e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1846.3MB, alloc=4.6MB, time=284.44
NO POLE
NO POLE
t[1] = 0.5344
x1[1] (analytic) = 2.0010548374348887922937999565666
x1[1] (numeric) = 2.0010535443444128588146377041705
absolute error = 1.2930904759334791622523961e-06
relative error = 6.4620441766156961318728607948437e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007581828677103094076988643815
x2[1] (numeric) = 1.0007588590552457955267636657859
absolute error = 6.761875354861190648014044e-07
relative error = 6.7567525008736694444429825255083e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1850.1MB, alloc=4.6MB, time=285.13
memory used=1853.9MB, alloc=4.6MB, time=285.82
NO POLE
NO POLE
t[1] = 0.5345
x1[1] (analytic) = 2.001054731956419314787170457985
x1[1] (numeric) = 2.0010534313363128803880597877877
absolute error = 1.3006201064343991106701973e-06
relative error = 6.4996728258541462533629014174239e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007582817749394180376406527635
x2[1] (numeric) = 1.0007589619895665981821973249009
absolute error = 6.802146271801445566721374e-07
relative error = 6.7969922364641301015519644914316e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1857.7MB, alloc=4.6MB, time=286.48
NO POLE
NO POLE
t[1] = 0.5346
x1[1] (analytic) = 2.0010546264884971568535235402481
x1[1] (numeric) = 2.0010533183168950060617733329312
absolute error = 1.3081716021507917502073169e-06
relative error = 6.5374107474837175877994771127275e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007583807072261379621932430527
x2[1] (numeric) = 1.000759064961429155948129969706
absolute error = 6.842542030179859367266533e-07
relative error = 6.8373567107619943056029598407122e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1861.6MB, alloc=4.6MB, time=287.16
NO POLE
NO POLE
t[1] = 0.5347
x1[1] (analytic) = 2.0010545210311212638136367451202
x1[1] (numeric) = 2.0010532052861581068226757987797
absolute error = 1.3157449631569909609463405e-06
relative error = 6.5752579418925683896501169801125e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007584796645749538124516101191
x2[1] (numeric) = 1.0007591679708426725290182187597
absolute error = 6.883062677187165666086406e-07
relative error = 6.8778459708821727581468032083716e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1865.4MB, alloc=4.6MB, time=287.82
memory used=1869.2MB, alloc=4.6MB, time=288.52
NO POLE
NO POLE
t[1] = 0.5348
x1[1] (analytic) = 2.001054415584290581093750263391
x1[1] (numeric) = 2.0010530922441010535453763459372
absolute error = 1.3233401895275483739174538e-06
relative error = 6.6132144094699418001422930874220e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007585786469903511692632445144
x2[1] (numeric) = 1.0007592710178163536389196347676
absolute error = 6.923708260024696563902532e-07
relative error = 6.9184600639501284970019162001748e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1873.0MB, alloc=4.6MB, time=289.24
NO POLE
NO POLE
t[1] = 0.5349
x1[1] (analytic) = 2.0010543101480040542255563891379
x1[1] (numeric) = 2.0010529791907227169921847359326
absolute error = 1.3309572813372333716532053e-06
relative error = 6.6512801506061658508670717501715e-05 %
h = 0.0001
x2[1] (analytic) = 1.000758677654476816563412848575
x2[1] (numeric) = 1.000759374102359407001911387096
absolute error = 6.964478825904384985385210e-07
relative error = 6.9591990371018792113371844117955e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1876.8MB, alloc=4.6MB, time=289.94
memory used=1880.6MB, alloc=4.6MB, time=290.67
NO POLE
NO POLE
t[1] = 0.535
x1[1] (analytic) = 2.0010542047222606288461889750434
x1[1] (numeric) = 2.0010528661260219678131002296361
absolute error = 1.3385962386610330887454073e-06
relative error = 6.6894551656926534673932849853966e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007587766870388374758070699952
x2[1] (numeric) = 1.0007594772244810423525089996628
absolute error = 7.005374422048767019296676e-07
relative error = 7.0000629374839995572221550041459e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1884.4MB, alloc=4.6MB, time=291.37
NO POLE
NO POLE
t[1] = 0.5351
x1[1] (analytic) = 2.0010540993070592506982128887659
x1[1] (numeric) = 2.0010527530499976765458004845913
absolute error = 1.3462570615741524124041746e-06
relative error = 6.7277394551219024728922191764669e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007588757446809023376592728789
x2[1] (numeric) = 1.0007595803841904714360851842231
absolute error = 7.046395095690984259113442e-07
relative error = 7.0410518122536234736446405070849e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1888.3MB, alloc=4.6MB, time=292.11
NO POLE
NO POLE
memory used=1892.1MB, alloc=4.6MB, time=292.84
t[1] = 0.5352
x1[1] (analytic) = 2.0010539939023988656296134703655
x1[1] (numeric) = 2.0010526399626487136156304512633
absolute error = 1.3539397501520139830191022e-06
relative error = 6.7661330192874955917728274801546e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007589748274075005306743462759
x2[1] (numeric) = 1.0007596835814969080092887590655
absolute error = 7.087540894074786144127896e-07
relative error = 7.0821657085784464989958225153669e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1895.9MB, alloc=4.6MB, time=293.57
NO POLE
NO POLE
t[1] = 0.5353
x1[1] (analytic) = 2.0010538885082784195937859907843
x1[1] (numeric) = 2.0010525268639739493355912682029
absolute error = 1.3616443044702581947225814e-06
relative error = 6.8046358585841004533274630122454e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007590739352231223872335502104
x2[1] (numeric) = 1.0007597868164095678404636531384
absolute error = 7.128811864454532301029280e-07
relative error = 7.1234046736367280880229669247239e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1899.7MB, alloc=4.6MB, time=294.29
NO POLE
NO POLE
t[1] = 0.5354
x1[1] (analytic) = 2.0010537831246968586495251113794
x1[1] (numeric) = 2.0010524137539722539063291561263
absolute error = 1.3693707246047431959552531e-06
relative error = 6.8432479734074695953881268495622e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007591730681322591905793992101
x2[1] (numeric) = 1.0007598900889376687100679956214
absolute error = 7.170208054095194885964113e-07
relative error = 7.1647687546172939292498123915762e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1903.5MB, alloc=4.6MB, time=295.01
memory used=1907.3MB, alloc=4.6MB, time=295.72
NO POLE
NO POLE
t[1] = 0.5355
x1[1] (analytic) = 2.0010536777516531289610143445119
x1[1] (numeric) = 2.0010523006326424974161243109107
absolute error = 1.3771190106315448900336012e-06
relative error = 6.8819693641544404679932453754459e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007592722261394031750005833426
x2[1] (numeric) = 1.0007599933990904304110932909608
absolute error = 7.211729510272360927076182e-07
relative error = 7.2062579987195382628647496551068e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1911.2MB, alloc=4.6MB, time=296.40
NO POLE
NO POLE
t[1] = 0.5356
x1[1] (analytic) = 2.0010535723891461767978155151879
x1[1] (numeric) = 2.0010521874999835498408797955052
absolute error = 1.3848891626269569357196827e-06
relative error = 6.9208000312229354370649600123493e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007593714092490475260169267669
x2[1] (numeric) = 1.0007600967468770747494836793853
absolute error = 7.253376280272234667526184e-07
relative error = 7.2478724531534261990768693884523e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1915.0MB, alloc=4.6MB, time=297.11
memory used=1918.8MB, alloc=4.6MB, time=297.84
NO POLE
NO POLE
t[1] = 0.5357
x1[1] (analytic) = 2.0010534670371749485348582237545
x1[1] (numeric) = 2.0010520743559942810441104307574
absolute error = 1.3926811806674907477929971e-06
relative error = 6.9597399750119617880969423693672e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007594706174656863805643838063
x2[1] (numeric) = 1.0007602001323068255445552829197
absolute error = 7.295148411391639908991134e-07
relative error = 7.2896121651394960369399882191905e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1922.6MB, alloc=4.6MB, time=298.55
NO POLE
NO POLE
t[1] = 0.5358
x1[1] (analytic) = 2.0010533616957383906524293096491
x1[1] (numeric) = 2.0010519612006735607769316851553
absolute error = 1.4004950648298754976244938e-06
relative error = 6.9987891959216117298527283428063e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007595698507938148271800725526
x2[1] (numeric) = 1.0007603035553889086294156369134
absolute error = 7.337045950938022355643608e-07
relative error = 7.3314771819088615836447165918668e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1926.4MB, alloc=4.6MB, time=299.26
NO POLE
NO POLE
t[1] = 0.5359
x1[1] (analytic) = 2.0010532563648354497361623162021
x1[1] (numeric) = 2.0010518480340202586780485634844
absolute error = 1.4083308151910581137527177e-06
relative error = 7.0379476943530623980745722039340e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007596691092379289061873460063
x2[1] (numeric) = 1.000760407016132551851383207102
absolute error = 7.379068946229451958610957e-07
relative error = 7.3734675507032144742786990921942e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1930.2MB, alloc=4.6MB, time=299.97
memory used=1934.0MB, alloc=4.6MB, time=300.70
NO POLE
NO POLE
t[1] = 0.536
x1[1] (analytic) = 2.0010531510444650724770269564933
x1[1] (numeric) = 2.0010517348560332442737444943998
absolute error = 1.4161884318282032824620935e-06
relative error = 7.0772154707085758592028232072501e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007597683928025256098809007619
x2[1] (numeric) = 1.0007605105145469850724069922177
absolute error = 7.421217444594625260914558e-07
relative error = 7.4155833187748264920550879033284e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1937.9MB, alloc=4.6MB, time=301.41
NO POLE
NO POLE
t[1] = 0.5361
x1[1] (analytic) = 2.0010530457346262056713185802615
x1[1] (numeric) = 2.0010516216667113869778702169136
absolute error = 1.4240679148186934483633479e-06
relative error = 7.1165925253914991141058207560401e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007598677014921028827119232459
x2[1] (numeric) = 1.0007606140506414401694862121672
absolute error = 7.463491493372867742889213e-07
relative error = 7.4578245333865518890093550281735e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1941.7MB, alloc=4.6MB, time=302.12
memory used=1945.5MB, alloc=4.6MB, time=302.85
NO POLE
NO POLE
t[1] = 0.5362
x1[1] (analytic) = 2.0010529404353177962206476418677
x1[1] (numeric) = 2.0010515084660535560918326657973
absolute error = 1.4319692642401288149760704e-06
relative error = 7.1560788588062641018203116580148e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007599670353111596214732735137
x2[1] (numeric) = 1.0007607176244251510350900817936
absolute error = 7.505891139914136168082799e-07
relative error = 7.5001912418118297071645409154359e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1949.3MB, alloc=4.6MB, time=303.56
NO POLE
NO POLE
t[1] = 0.5363
x1[1] (analytic) = 2.001052835146538791131929169311
x1[1] (numeric) = 2.0010513952540586208045838558986
absolute error = 1.4398924801703273453134124e-06
relative error = 7.1956744713583877033023880064667e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007600663942641956754847066141
x2[1] (numeric) = 1.0007608212359073535775776702396
absolute error = 7.548416431579020929636255e-07
relative error = 7.5426834913346861001650201377175e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1953.1MB, alloc=4.6MB, time=304.25
NO POLE
NO POLE
t[1] = 0.5364
x1[1] (analytic) = 2.0010527298682881375173722342976
x1[1] (numeric) = 2.0010512820307254501926097653734
absolute error = 1.4478375626873247624689242e-06
relative error = 7.2353793634544717451889437226267e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007601657783557118467781315276
x2[1] (numeric) = 1.0007609248850972857216178459296
absolute error = 7.591067415738748397144020e-07
relative error = 7.5853013292497366553788927463793e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1956.9MB, alloc=4.6MB, time=304.96
memory used=1960.7MB, alloc=4.6MB, time=305.68
NO POLE
NO POLE
t[1] = 0.5365
x1[1] (analytic) = 2.0010526246005647825944694233633
x1[1] (numeric) = 2.0010511687960529132199192178323
absolute error = 1.4558045118693745502055310e-06
relative error = 7.2751935355022030035696552909520e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007602651875902098902829076879
x2[1] (numeric) = 1.000761028572004187408609307188
absolute error = 7.633844139775183263995001e-07
relative error = 7.6280448028621887164690749521459e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1964.6MB, alloc=4.6MB, time=306.39
NO POLE
NO POLE
t[1] = 0.5366
x1[1] (analytic) = 2.001052519343367673685986310048
x1[1] (numeric) = 2.0010510555500398787380327634014
absolute error = 1.4637933277949479535466466e-06
relative error = 7.3151169879103532077694802253883e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007603646219721925140111790919
x2[1] (numeric) = 1.0007611322966373005971006985103
absolute error = 7.676746651080830895194184e-07
relative error = 7.6709139594878437064331967523121e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1968.4MB, alloc=4.6MB, time=307.11
memory used=1972.2MB, alloc=4.6MB, time=307.87
NO POLE
NO POLE
t[1] = 0.5367
x1[1] (analytic) = 2.0010524140966957582199509281235
x1[1] (numeric) = 2.0010509422926852154859715586978
absolute error = 1.4718040105427339793694257e-06
relative error = 7.3551497210887790441416777988462e-05 %
h = 0.0001
x2[1] (analytic) = 1.000760464081506163379243246007
x2[1] (numeric) = 1.0007612360590058692632108125053
absolute error = 7.719774997058839675664983e-07
relative error = 7.7139088464530994511123961367357e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1976.0MB, alloc=4.6MB, time=308.60
NO POLE
NO POLE
t[1] = 0.5368
x1[1] (analytic) = 2.0010523088605479837296432458739
x1[1] (numeric) = 2.0010508290239877920902462457194
absolute error = 1.4798365601916393970001545e-06
relative error = 7.3952917354484221598713505712881e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007605635661966271007129742829
x2[1] (numeric) = 1.000761339859119139401048877525
absolute error = 7.762929225123003359032421e-07
relative error = 7.7570295110949525031690985032529e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1979.8MB, alloc=4.6MB, time=309.34
NO POLE
NO POLE
t[1] = 0.5369
x1[1] (analytic) = 2.0010522036349232978535846414283
x1[1] (numeric) = 2.0010507157439464770648458296488
absolute error = 1.4878909768207887388117795e-06
relative error = 7.4355430314013091667895062512881e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007606630760480892467932422751
x2[1] (numeric) = 1.0007614436969863590231349309995
absolute error = 7.806209382697763416887244e-07
relative error = 7.8002760007610004665338769055150e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1983.6MB, alloc=4.6MB, time=310.08
memory used=1987.4MB, alloc=4.6MB, time=310.84
NO POLE
NO POLE
t[1] = 0.537
x1[1] (analytic) = 2.0010520984198206483355273791457
x1[1] (numeric) = 2.0010506024525601388112265555712
absolute error = 1.4959672605095243008235745e-06
relative error = 7.4759036093605516451976399256553e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007607626110650563396814253878
x2[1] (numeric) = 1.0007615475726167781608202784947
absolute error = 7.849615517218211388531069e-07
relative error = 7.8436483628094443213214887539156e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1991.3MB, alloc=4.6MB, time=311.59
NO POLE
NO POLE
t[1] = 0.5371
x1[1] (analytic) = 2.0010519932152389830244440870532
x1[1] (numeric) = 2.0010504891498276456183007841068
absolute error = 1.5040654113374061433029464e-06
relative error = 7.5163734697403461477028396901238e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007608621712520358555849182438
x2[1] (numeric) = 1.0007616514860196488647080385096
absolute error = 7.893147676130091231202658e-07
relative error = 7.8871466446090907492161755947969e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=1995.1MB, alloc=4.6MB, time=312.32
memory used=1998.9MB, alloc=4.6MB, time=313.06
NO POLE
NO POLE
t[1] = 0.5372
x1[1] (analytic) = 2.0010518880211772498745172353351
x1[1] (numeric) = 2.0010503758357478656624258659565
absolute error = 1.5121854293842120913693786e-06
relative error = 7.5569526129559742030634097188506e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007609617566135362249066944883
x2[1] (numeric) = 1.0007617554372042252050737730307
absolute error = 7.936805906889801670785424e-07
relative error = 7.9307708935393544593263265801610e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2002.7MB, alloc=4.6MB, time=313.79
NO POLE
NO POLE
t[1] = 0.5373
x1[1] (analytic) = 2.0010517828376343969451286158749
x1[1] (numeric) = 2.0010502625103196670073930153619
absolute error = 1.5203273147299377356005130e-06
relative error = 7.5976410394238023200450158046538e-05 %
h = 0.0001
x2[1] (analytic) = 1.000761061367154066832430904235
x2[1] (numeric) = 1.0007618594261797632722862038608
absolute error = 7.980590256964398552996258e-07
relative error = 7.9745211569902605145085892507007e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2006.5MB, alloc=4.6MB, time=314.53
NO POLE
NO POLE
memory used=2010.3MB, alloc=4.6MB, time=315.27
t[1] = 0.5374
x1[1] (analytic) = 2.0010516776646093724008488228492
x1[1] (numeric) = 2.0010501491735419176044161824787
absolute error = 1.5284910674547964326403705e-06
relative error = 7.6384387495612819912873529048237e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007611610028781380175085091612
x2[1] (numeric) = 1.0007619634529555211772280147396
absolute error = 8.024500773831597195055784e-07
relative error = 8.0183974823624466581615292389650e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2014.2MB, alloc=4.6MB, time=316.02
NO POLE
NO POLE
t[1] = 0.5375
x1[1] (analytic) = 2.0010515725021011245114267343732
x1[1] (numeric) = 2.0010500358254134852921209246637
absolute error = 1.5366766876392193058097095e-06
relative error = 7.6793457437869496971813322283760e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007612606637902610742429552591
x2[1] (numeric) = 1.0007620675175407590517167392733
absolute error = 8.068537504979774737840142e-07
relative error = 8.0623999170671656414889335024640e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2018.0MB, alloc=4.6MB, time=316.76
NO POLE
NO POLE
t[1] = 0.5376
x1[1] (analytic) = 2.0010514673501086016517789951987
x1[1] (numeric) = 2.0010499224659332377965332766756
absolute error = 1.5448841753638552457185231e-06
relative error = 7.7203620225204269097567913974567e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007613603498949482516758832525
x2[1] (numeric) = 1.0007621716199447390489257346906
absolute error = 8.112700497907972498514381e-07
relative error = 8.1065285085262875512328337078616e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2021.8MB, alloc=4.6MB, time=317.50
memory used=2025.6MB, alloc=4.6MB, time=318.25
NO POLE
NO POLE
t[1] = 0.5377
x1[1] (analytic) = 2.0010513622086307523019795004624
x1[1] (numeric) = 2.0010498090951000427310686197889
absolute error = 1.5531135307095709108806735e-06
relative error = 7.7614875861824200965807202213883e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007614600611967127539728766842
x2[1] (numeric) = 1.0007622757601767253438052414422
absolute error = 8.156989800125898323647580e-07
relative error = 8.1507833041723021378763623577341e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2029.4MB, alloc=4.6MB, time=318.97
NO POLE
NO POLE
t[1] = 0.5378
x1[1] (analytic) = 2.0010512570776665250472488804875
x1[1] (numeric) = 2.0010496957129127675965205498211
absolute error = 1.5613647537574507283306664e-06
relative error = 7.8027224351947207246660161105269e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007615597977000687406092476826
x2[1] (numeric) = 1.0007623799382459841335035286615
absolute error = 8.201405459153928942809789e-07
relative error = 8.1951643514483211443165282687796e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2033.2MB, alloc=4.6MB, time=319.71
memory used=2037.0MB, alloc=4.6MB, time=320.46
NO POLE
NO POLE
t[1] = 0.5379
x1[1] (analytic) = 2.0010511519572148685779439866351
x1[1] (numeric) = 2.0010495823193702797810497440732
absolute error = 1.5696378445887968942425619e-06
relative error = 7.8440665699802052643907516736676e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007616595594095313265558604159
x2[1] (numeric) = 1.0007624841541617836377881255035
absolute error = 8.245947522523112322650876e-07
relative error = 8.2396716978080806350069920126090e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2040.9MB, alloc=4.6MB, time=321.20
NO POLE
NO POLE
t[1] = 0.538
x1[1] (analytic) = 2.0010510468472747316895473782086
x1[1] (numeric) = 2.0010494689144714465601728271834
absolute error = 1.5779328032851293745510252e-06
relative error = 7.8855199909628351934279710248386e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007617593463296165824649922391
x2[1] (numeric) = 1.0007625884079333940994671383795
absolute error = 8.290616037775170021461404e-07
relative error = 8.2843053907159433255709598990258e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2044.7MB, alloc=4.6MB, time=321.94
NO POLE
NO POLE
t[1] = 0.5381
x1[1] (analytic) = 2.0010509417478450632826568104078
x1[1] (numeric) = 2.0010493554982151350967512358935
absolute error = 1.5862496299281859055745143e-06
relative error = 7.9270826985676570006860008413667e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007618591584648415348562325437
x2[1] (numeric) = 1.0007626926995700877848106541048
absolute error = 8.335411052462499544215611e-07
relative error = 8.3290654776469009128842641181362e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2048.5MB, alloc=4.6MB, time=322.68
memory used=2052.3MB, alloc=4.6MB, time=323.44
NO POLE
NO POLE
t[1] = 0.5382
x1[1] (analytic) = 2.0010508366589248123629747233351
x1[1] (numeric) = 2.0010492420706002124409800827281
absolute error = 1.5945883245999219946406070e-06
relative error = 7.9687546932208021902592877016729e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007619589958197241663024193158
x2[1] (numeric) = 1.0007627970290811389839722289765
absolute error = 8.380332614148176698096607e-07
relative error = 8.3739520060865764056287376241327e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2056.1MB, alloc=4.6MB, time=324.18
NO POLE
NO POLE
t[1] = 0.5383
x1[1] (analytic) = 2.0010507315805129280412977320529
x1[1] (numeric) = 2.0010491286316255455303770185873
absolute error = 1.6029488873825109207134656e-06
relative error = 8.0105359753494872853897537415055e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007620588583987834156156134116
x2[1] (numeric) = 1.0007629013964758240114104637994
absolute error = 8.425380770405957948503878e-07
relative error = 8.4189650235312264553159683594975e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2059.9MB, alloc=4.6MB, time=324.91
memory used=2063.7MB, alloc=4.6MB, time=325.63
NO POLE
NO POLE
t[1] = 0.5384
x1[1] (analytic) = 2.0010506265126083595335061176908
x1[1] (numeric) = 2.0010490151812900011897710942509
absolute error = 1.6113313183583437350234399e-06
relative error = 8.0524265453820138324386736615334e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007621587462065391780331105563
x2[1] (numeric) = 1.0007630058017634212063106648766
absolute error = 8.470555568820282775543203e-07
relative error = 8.4641045774877436877815334038814e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2067.6MB, alloc=4.6MB, time=326.32
NO POLE
NO POLE
t[1] = 0.5385
x1[1] (analytic) = 2.0010505214552100561605533196051
x1[1] (numeric) = 2.0010489017195924461312916207964
absolute error = 1.6197356176100292616988087e-06
relative error = 8.0944264037477684048690741202549e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007622586592475123054034910744
x2[1] (numeric) = 1.0007631102449532109330065909828
absolute error = 8.515857056986276030999084e-07
relative error = 8.5093707154736590351498076341217e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2071.4MB, alloc=4.6MB, time=327.01
NO POLE
NO POLE
t[1] = 0.5386
x1[1] (analytic) = 2.0010504164083169673484554285879
x1[1] (numeric) = 2.0010487882465317469543570289284
absolute error = 1.6281617852203940983996595e-06
relative error = 8.1365355508772226072386540474985e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007623585975262246063727073604
x2[1] (numeric) = 1.0007632147260544755814022863371
absolute error = 8.561285282509750295789767e-07
relative error = 8.5547634850171440682694194962769e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2075.2MB, alloc=4.6MB, time=327.71
memory used=2079.0MB, alloc=4.6MB, time=328.42
NO POLE
NO POLE
t[1] = 0.5387
x1[1] (analytic) = 2.0010503113719280426282806811275
x1[1] (numeric) = 2.0010486747621067701456637272213
absolute error = 1.6366098212724826169539062e-06
relative error = 8.1787539872019330792032249135106e-05 %
h = 0.0001
x2[1] (analytic) = 1.000762458561047198846570209094
x2[1] (numeric) = 1.000763319245076499567393999593
absolute error = 8.606840293007208237904990e-07
relative error = 8.6002829336570133296194844440845e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2082.8MB, alloc=4.6MB, time=329.12
NO POLE
NO POLE
t[1] = 0.5388
x1[1] (analytic) = 2.0010502063460422316361389547189
x1[1] (numeric) = 2.0010485612663163820791749592733
absolute error = 1.6450797258495569639954456e-06
relative error = 8.2210817131545414995306749860006e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007625585498149587487951062117
x2[1] (numeric) = 1.0007634238020285693332921888629
absolute error = 8.652522136105844970826512e-07
relative error = 8.6459291089427266666866646582921e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2086.6MB, alloc=4.6MB, time=329.81
memory used=2090.4MB, alloc=4.6MB, time=330.51
NO POLE
NO POLE
t[1] = 0.5389
x1[1] (analytic) = 2.001050101330658484113171264225
x1[1] (numeric) = 2.0010484477591594490161096597734
absolute error = 1.6535714990350970616044516e-06
relative error = 8.2635187291687745901254521124878e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007626585638340289932023696383
x2[1] (numeric) = 1.0007635283969199733482436127943
absolute error = 8.698330859443550412431560e-07
relative error = 8.6917020584343915658131865958284e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2094.3MB, alloc=4.6MB, time=331.19
NO POLE
NO POLE
t[1] = 0.539
x1[1] (analytic) = 2.0010499963257757499055392592878
x1[1] (numeric) = 2.00104833424063483710493130948
absolute error = 1.6620851409128006079498078e-06
relative error = 8.3060650356794441200635685605714e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007627586031089352174890697879
x2[1] (numeric) = 1.0007636330297600021086535077156
absolute error = 8.744266510668911644379277e-07
relative error = 8.7376018297027654865158939565111e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2098.1MB, alloc=4.6MB, time=331.87
NO POLE
NO POLE
t[1] = 0.5391
x1[1] (analytic) = 2.0010498913313929789644147227904
x1[1] (numeric) = 2.0010482207107414123813367891115
absolute error = 1.6706206515665830779336789e-06
relative error = 8.3487206331224469096381299495150e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007628586676442040170806528419
x2[1] (numeric) = 1.0007637377005579481386078508679
absolute error = 8.790329137441215271980260e-07
relative error = 8.7836284703292581962764196481027e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2101.9MB, alloc=4.6MB, time=332.55
memory used=2105.7MB, alloc=4.6MB, time=333.25
NO POLE
NO POLE
t[1] = 0.5392
x1[1] (analytic) = 2.0010497863475091213459690703684
x1[1] (numeric) = 2.0010481071694780407682452321487
absolute error = 1.6791780310805777238382197e-06
relative error = 8.3914855219347648344153823107412e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007629587574443629453172548105
x2[1] (numeric) = 1.0007638424093231059902957097413
absolute error = 8.836518787430449784549308e-07
relative error = 8.8297820279059341058025913045646e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2109.5MB, alloc=4.6MB, time=333.93
NO POLE
NO POLE
t[1] = 0.5393
x1[1] (analytic) = 2.0010496813741231272113628509715
x1[1] (numeric) = 2.0010479936168435880757868765492
absolute error = 1.6877572795391355759744223e-06
relative error = 8.4343597025544648293012803100910e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007630588725139405136400533865
x2[1] (numeric) = 1.0007639471560647722444316775322
absolute error = 8.882835508317307916241457e-07
relative error = 8.8760625500355146047611419427616e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2113.3MB, alloc=4.6MB, time=334.62
memory used=2117.1MB, alloc=4.6MB, time=335.33
NO POLE
NO POLE
t[1] = 0.5394
x1[1] (analytic) = 2.0010495764112339468267352484755
x1[1] (numeric) = 2.0010478800528369200012919153731
absolute error = 1.6963583970268254433331024e-06
relative error = 8.4773431754206988926185811639117e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007631590128574661917776575973
x2[1] (numeric) = 1.0007640519407922455106783947396
absolute error = 8.929279347793189007371423e-07
relative error = 8.9224700843313803979818413070148e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2121.0MB, alloc=4.6MB, time=336.02
NO POLE
NO POLE
t[1] = 0.5395
x1[1] (analytic) = 2.0010494714588405305631935843435
x1[1] (numeric) = 2.0010477664774569021292793463206
absolute error = 1.7049813836284339142380229e-06
relative error = 8.5204359409737040901944552881201e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007632591784794704079325352641
x2[1] (numeric) = 1.000764156763514826428069156917
absolute error = 8.975850353560201366216529e-07
relative error = 8.9690046784175738421331184828277e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2124.8MB, alloc=4.6MB, time=336.69
NO POLE
NO POLE
memory used=2128.6MB, alloc=4.6MB, time=337.36
t[1] = 0.5396
x1[1] (analytic) = 2.0010493665169418288968028213366
x1[1] (numeric) = 2.0010476528907023999314458201805
absolute error = 1.7136262394289653570011561e-06
relative error = 8.5636379996548025594586202112410e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007633593693844845489674782755
x2[1] (numeric) = 1.0007642616242418176654306085984
absolute error = 9.022548573331164631303229e-07
relative error = 9.0156663799288012828692833305721e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2132.4MB, alloc=4.6MB, time=338.05
NO POLE
NO POLE
t[1] = 0.5397
x1[1] (analytic) = 2.0010492615855367924085750682752
x1[1] (numeric) = 2.0010475392925722787666544881906
absolute error = 1.7222929645136419205800846e-06
relative error = 8.6069493519064015135519982855607e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007634595855770409605921056817
x2[1] (numeric) = 1.000764366522982523921805523415
absolute error = 9.069374054829612134177333e-07
relative error = 9.0624552365104353924494452944375e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2136.2MB, alloc=4.6MB, time=338.72
NO POLE
NO POLE
t[1] = 0.5398
x1[1] (analytic) = 2.0010491566646243717844590858485
x1[1] (numeric) = 2.0010474256830654038809238483089
absolute error = 1.7309815589679035352375396e-06
relative error = 8.6503699981719932454458917342118e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007635598270616729475494046187
x2[1] (numeric) = 1.0007644714597462519268756704199
absolute error = 9.116326845789793262658012e-07
relative error = 9.1093712958185175078282031586352e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2140.0MB, alloc=4.6MB, time=339.40
memory used=2143.9MB, alloc=4.6MB, time=340.12
NO POLE
NO POLE
t[1] = 0.5399
x1[1] (analytic) = 2.0010490517542035178153297934746
x1[1] (numeric) = 2.0010473120621806404074165903962
absolute error = 1.7396920228774079132030784e-06
relative error = 8.6938999388961551320716840638530e-05 %
h = 0.0001
x2[1] (analytic) = 1.000763660093842914773802309069
x2[1] (numeric) = 1.0007645764345423104413847666388
absolute error = 9.163406993956675824575698e-07
relative error = 9.1564146055197599692182152930730e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2147.7MB, alloc=4.6MB, time=340.81
NO POLE
NO POLE
t[1] = 0.54
x1[1] (analytic) = 2.0010489468542731813969777772086
x1[1] (numeric) = 2.0010471984299168533664284403095
absolute error = 1.7484243563280305493368991e-06
relative error = 8.7375391745245496384610578825810e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007637603859253016627203164664
x2[1] (numeric) = 1.0007646814473800102575615158638
absolute error = 9.210614547085948411993974e-07
relative error = 9.2035852132915484591247399435988e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2151.5MB, alloc=4.6MB, time=341.46
memory used=2155.3MB, alloc=4.6MB, time=342.16
NO POLE
NO POLE
t[1] = 0.5401
x1[1] (analytic) = 2.0010488419648323135300987987009
x1[1] (numeric) = 2.0010470847862729076653770029065
absolute error = 1.7571785594058647217957944e-06
relative error = 8.7812877055039243218967386524639e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007638607033133697972661421524
x2[1] (numeric) = 1.0007647864982686641995427337074
absolute error = 9.257949552944022765915550e-07
relative error = 9.2508831668219443418522361188050e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2159.1MB, alloc=4.6MB, time=342.82
NO POLE
NO POLE
t[1] = 0.5402
x1[1] (analytic) = 2.001048737085879865320283305204
x1[1] (numeric) = 2.0010469711312476680987906039606
absolute error = 1.7659546321972214927012434e-06
relative error = 8.8251455322821118360737589139577e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007639610460116563201824116915
x2[1] (numeric) = 1.000764891587217587123796558935
absolute error = 9.305412059308036141472435e-07
relative error = 9.2983085138096870034831296123431e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2162.9MB, alloc=4.6MB, time=343.49
NO POLE
NO POLE
t[1] = 0.5403
x1[1] (analytic) = 2.0010486322174147879780059406286
x1[1] (numeric) = 2.0010468574648399993482971309872
absolute error = 1.7747525747886297088096414e-06
relative error = 8.8691126553080299352712430165654e-05 %
h = 0.0001
x2[1] (analytic) = 1.000764061414024699334178391054
x2[1] (numeric) = 1.0007649967142360959195457510919
absolute error = 9.353002113965853673600379e-07
relative error = 9.3458613019641961923288127248105e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2166.7MB, alloc=4.6MB, time=344.16
memory used=2170.6MB, alloc=4.6MB, time=344.86
NO POLE
NO POLE
t[1] = 0.5404
x1[1] (analytic) = 2.0010485273594360328186150576479
x1[1] (numeric) = 2.0010467437870487659826128729798
absolute error = 1.7835723872668360021846681e-06
relative error = 8.9131890750316814785347143890548e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007641618073570379021167546727
x2[1] (numeric) = 1.0007651018793335095091910744439
absolute error = 9.400719764716070743197712e-07
relative error = 9.3935415790055743598529992064837e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2174.4MB, alloc=4.6MB, time=345.53
NO POLE
NO POLE
t[1] = 0.5405
x1[1] (analytic) = 2.0010484225119425512623222308515
x1[1] (numeric) = 2.0010466300978728324575313590572
absolute error = 1.7924140697188047908717943e-06
relative error = 8.9573747919041544338689258833147e-05 %
h = 0.0001
x2[1] (analytic) = 1.000764262226013212047200391381
x2[1] (numeric) = 1.0007652070825191488487347682475
absolute error = 9.448565059368015343768665e-07
relative error = 9.4413493926646090020675139718569e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2178.2MB, alloc=4.6MB, time=346.21
memory used=2182.0MB, alloc=4.6MB, time=346.90
NO POLE
NO POLE
t[1] = 0.5406
x1[1] (analytic) = 2.0010483176749332948341917709475
x1[1] (numeric) = 2.0010465163973110631159121960209
absolute error = 1.8012776222317182795749266e-06
relative error = 9.0016698063776218824412107275122e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007643626699977627531592482406
x2[1] (numeric) = 1.0007653123238023369282041033678
absolute error = 9.496538045741750448551272e-07
relative error = 9.4892847906827750014006111239006e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2185.8MB, alloc=4.6MB, time=347.59
NO POLE
NO POLE
t[1] = 0.5407
x1[1] (analytic) = 2.0010482128484072151641302400128
x1[1] (numeric) = 2.0010464026853623221876699048228
absolute error = 1.8101630448929764603351900e-06
relative error = 9.0460741189053420227953536231481e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007644631393152319644372122661
x2[1] (numeric) = 1.0007654176031923987720750252616
absolute error = 9.544638771668076378129955e-07
relative error = 9.5373478208122369690379168213085e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2189.6MB, alloc=4.6MB, time=348.26
NO POLE
NO POLE
t[1] = 0.5408
x1[1] (analytic) = 2.0010481080323632639868759677923
x1[1] (numeric) = 2.0010462889620254737897627559431
absolute error = 1.8190703377901971132118492e-06
relative error = 9.0905877299416581750759860182417e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007645636339701625863790300541
x2[1] (numeric) = 1.0007655229206986614396958833429
absolute error = 9.592867284988533168532888e-07
relative error = 9.5855385308158515877360875242232e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2193.4MB, alloc=4.6MB, time=348.93
memory used=2197.3MB, alloc=4.6MB, time=349.62
NO POLE
NO POLE
t[1] = 0.5409
x1[1] (analytic) = 2.0010480032268003931419885690466
x1[1] (numeric) = 2.0010461752272993819261816036782
absolute error = 1.8279995010112158069653684e-06
relative error = 9.1352106399419987852635045914948e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007646641539670984854172653233
x2[1] (numeric) = 1.0007656282763304540257112467481
absolute error = 9.641223633555402939814248e-07
relative error = 9.6338569684671699551092861424111e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2201.1MB, alloc=4.6MB, time=350.31
NO POLE
NO POLE
t[1] = 0.541
x1[1] (analytic) = 2.0010478984317175545738384619469
x1[1] (numeric) = 2.0010460614811829104879387193386
absolute error = 1.8369505346440858997426083e-06
relative error = 9.1799428493628774294195064851618e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007647646993105844892592943753
x2[1] (numeric) = 1.0007657336700971076604858065188
absolute error = 9.689707865231712265121435e-07
relative error = 9.6823031815504399273885526273264e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2204.9MB, alloc=4.6MB, time=351.00
memory used=2208.7MB, alloc=4.6MB, time=351.70
NO POLE
NO POLE
t[1] = 0.5411
x1[1] (analytic) = 2.0010477936471137003315963875196
x1[1] (numeric) = 2.0010459477236749232530566233567
absolute error = 1.8459234387770785397641629e-06
relative error = 9.2247843586618928179427543141135e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007648652700051663870743394811
x2[1] (numeric) = 1.0007658391020079555105283642192
absolute error = 9.738320027891234540247381e-07
relative error = 9.7308772178606084636541835181584e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2212.5MB, alloc=4.6MB, time=352.38
NO POLE
NO POLE
t[1] = 0.5412
x1[1] (analytic) = 2.001047688872987782569222930137
x1[1] (numeric) = 2.0010458339547742838865569163047
absolute error = 1.8549182134986826660138323e-06
relative error = 9.2697351682977287998356519953669e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007649658660553909296805402031
x2[1] (numeric) = 1.0007659445720723327789159070057
absolute error = 9.787060169418492353668026e-07
relative error = 9.7795791252033239705411929816294e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2216.3MB, alloc=4.6MB, time=353.06
NO POLE
NO POLE
t[1] = 0.5413
x1[1] (analytic) = 2.0010475841093387535454580390579
x1[1] (numeric) = 2.0010457201744798559404491088214
absolute error = 1.8639348588976050089302365e-06
relative error = 9.3147952787301543669812564192651e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007650664874658058297320626584
x2[1] (numeric) = 1.0007660500802995767057177691664
absolute error = 9.835928337708759857065080e-07
relative error = 9.8284089513949386474179688516621e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2220.1MB, alloc=4.6MB, time=353.75
memory used=2224.0MB, alloc=4.6MB, time=354.46
NO POLE
NO POLE
t[1] = 0.5414
x1[1] (analytic) = 2.001047479356165565623810551014
x1[1] (numeric) = 2.0010456063827905028537194504492
absolute error = 1.8729733750627700911005648e-06
relative error = 9.3599646904200236584307980107548e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007651671342409597619062467322
x2[1] (numeric) = 1.0007661556266990265684198801474
absolute error = 9.884924580668065136334152e-07
relative error = 9.8773667442625108320381992016723e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2227.8MB, alloc=4.6MB, time=355.16
NO POLE
NO POLE
t[1] = 0.5415
x1[1] (analytic) = 2.0010473746134671712725477138459
x1[1] (numeric) = 2.0010454925797050879523197573805
absolute error = 1.8820337620833202279564654e-06
relative error = 9.4052434038292759647017332029832e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007652678063854023630907912473
x2[1] (numeric) = 1.0007662612112800236823490990839
absolute error = 9.934048946213192583078366e-07
relative error = 9.9264525516438073466661839501000e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2231.6MB, alloc=4.6MB, time=355.83
memory used=2235.4MB, alloc=4.6MB, time=356.53
NO POLE
NO POLE
t[1] = 0.5416
x1[1] (analytic) = 2.0010472698812425230646847111851
x1[1] (numeric) = 2.0010453787652224744491562391132
absolute error = 1.8911160200486155284720719e-06
relative error = 9.4506314194209357320863123661440e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007653685039036842325709770996
x2[1] (numeric) = 1.0007663668340519114010976358534
absolute error = 9.983301482271685266587538e-07
relative error = 9.9756664213873058446756000325458e-05 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2239.2MB, alloc=4.6MB, time=357.19
NO POLE
NO POLE
t[1] = 0.5417
x1[1] (analytic) = 2.0010471651594905736779741881843
x1[1] (numeric) = 2.0010452649393415254440783240156
absolute error = 1.9002201490482338958641687e-06
relative error = 9.4961287376591125669706732205956e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007654692268003569322169283647
x2[1] (numeric) = 1.0007664724950240351169475586681
absolute error = 1.0032682236781847306303034e-06
relative error = 0.00010025008401352197157621834636393 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2243.0MB, alloc=4.6MB, time=357.87
NO POLE
NO POLE
memory used=2246.9MB, alloc=4.6MB, time=358.54
t[1] = 0.5418
x1[1] (analytic) = 2.0010470604482102758948957782953
x1[1] (numeric) = 2.0010451511020611039238674838004
absolute error = 1.9093461491719710282944949e-06
relative error = 9.5417353590090012401644577695651e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007655699750799729866709113849
x2[1] (numeric) = 1.0007665781942057422612953882245
absolute error = 1.0082191257692746244768396e-06
relative error = 0.00010074478539408387642787968016613 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2250.7MB, alloc=4.6MB, time=359.21
NO POLE
NO POLE
t[1] = 0.5419
x1[1] (analytic) = 2.0010469557474005826026456310933
x1[1] (numeric) = 2.0010450372533800727622260569078
absolute error = 1.9184940205098404195741855e-06
relative error = 9.5874512839368816912409467888358e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007656707487470858835346718426
x2[1] (numeric) = 1.0007666839316063823050767784276
absolute error = 1.0131828592964215421065850e-06
relative error = 0.00010124076883436501531204514388464 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2254.5MB, alloc=4.6MB, time=359.87
NO POLE
NO POLE
t[1] = 0.542
x1[1] (analytic) = 2.001046851057060446793125941149
x1[1] (numeric) = 2.0010449233932972947197660707977
absolute error = 1.9276637631520733598703513e-06
relative error = 9.6332765129101190328877189039988e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007657715478062500735568098295
x2[1] (numeric) = 1.0007667897072353067591912837065
absolute error = 1.0181594290566856344738770e-06
relative error = 0.00010173803481327883276142989420988 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2258.3MB, alloc=4.6MB, time=360.54
memory used=2262.1MB, alloc=4.6MB, time=361.22
NO POLE
NO POLE
t[1] = 0.5421
x1[1] (analytic) = 2.0010467463771888215629344779476
x1[1] (numeric) = 2.0010448095218116324439980631502
absolute error = 1.9368553771891189364147974e-06
relative error = 9.6792110463971635552678337897740e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007658723722620209708201929173
x2[1] (numeric) = 1.00076689552110186917492721294
absolute error = 1.0231488398482041070200227e-06
relative error = 0.00010223658380984599902083427810786 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2265.9MB, alloc=4.6MB, time=361.88
NO POLE
NO POLE
t[1] = 0.5422
x1[1] (analytic) = 2.0010466417077846601133541168551
x1[1] (numeric) = 2.0010446956389219484693199019755
absolute error = 1.9460688627116440342148796e-06
relative error = 9.7252548848675507303915360274664e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007659732221189549529294072392
x2[1] (numeric) = 1.0007670013732154251443865700087
absolute error = 1.0281510964701914571627695e-06
relative error = 0.00010273641630319443354155917456782 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2269.7MB, alloc=4.6MB, time=362.57
NO POLE
NO POLE
memory used=2273.6MB, alloc=4.6MB, time=363.31
t[1] = 0.5423
x1[1] (analytic) = 2.0010465370488469157503423711306
x1[1] (numeric) = 2.001044581744627105217005604632
absolute error = 1.9553042198105333367664986e-06
relative error = 9.7714080287919012164984791550508e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007660740973816093611982465873
x2[1] (numeric) = 1.0007671072635853323009100809914
absolute error = 1.0331662037229397118344041e-06
relative error = 0.0001032375327725593284805627171222 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2277.4MB, alloc=4.6MB, time=364.04
NO POLE
NO POLE
t[1] = 0.5424
x1[1] (analytic) = 2.0010464324003745418845209249861
x1[1] (numeric) = 2.001044467838925964995194155753
absolute error = 1.9645614485768893267692331e-06
relative error = 9.8176704786419208624504754412220e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007661749980545425008372395373
x2[1] (numeric) = 1.0007672131922209503195023080237
absolute error = 1.0381941664078186650684864e-06
relative error = 0.00010373993369728317220435899235194 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2281.2MB, alloc=4.6MB, time=364.76
NO POLE
NO POLE
t[1] = 0.5425
x1[1] (analytic) = 2.0010463277623664920311651676929
x1[1] (numeric) = 2.0010443539218173899988783240819
absolute error = 1.9738405491020322868436110e-06
relative error = 9.8640422348904007121347674197227e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007662759241423136411412146033
x2[1] (numeric) = 1.0007673191591316409172568498356
absolute error = 1.0432349893272761156352323e-06
relative error = 0.00010424361955681577279766005899288 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2285.0MB, alloc=4.6MB, time=365.46
memory used=2288.8MB, alloc=4.6MB, time=366.20
NO POLE
NO POLE
t[1] = 0.5426
x1[1] (analytic) = 2.001046223134821719810193728734
x1[1] (numeric) = 2.0010442399933002423098934782159
absolute error = 1.9831415214775003002505181e-06
relative error = 9.9105232980112170088778182197244e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007663768756494830156769034345
x2[1] (numeric) = 1.0007674251643267678537816289863
absolute error = 1.0482886772848381047255518e-06
relative error = 0.0001047485908307142815767618728162 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2292.6MB, alloc=4.6MB, time=366.91
NO POLE
NO POLE
t[1] = 0.5427
x1[1] (analytic) = 2.0010461185177391789461580140034
x1[1] (numeric) = 2.0010441260533733838969064012573
absolute error = 1.9924643657950492516127461e-06
relative error = 9.9571136684793311998696297217550e-05 %
h = 0.0001
x2[1] (analytic) = 1.0007664778525806118224705820588
x2[1] (numeric) = 1.0007675312078156969316242658128
absolute error = 1.0533552350851091536837540e-06
relative error = 0.00010525484799864321660767522203451 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2296.4MB, alloc=4.6MB, time=367.62
memory used=2300.3MB, alloc=4.6MB, time=368.35
NO POLE
NO POLE
t[1] = 0.5428
x1[1] (analytic) = 2.0010460139111178232682317430518
x1[1] (numeric) = 2.0010440121020356766154041043737
absolute error = 2.0018090821466528276386781e-06
relative error = 0.00010003813346770789940598579578071 %
h = 0.0001
x2[1] (analytic) = 1.0007665788549402622241957501812
x2[1] (numeric) = 1.000767637289607795996697539111
absolute error = 1.0584346675337725017889298e-06
relative error = 0.00010576239154037448622900269802266 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2304.1MB, alloc=4.6MB, time=369.07
NO POLE
NO POLE
t[1] = 0.5429
x1[1] (analytic) = 2.001045909314956606710200487378
x1[1] (numeric) = 2.0010438981392859822076826392656
absolute error = 2.0111756706245025178481124e-06
relative error = 0.00010050622333362725099296781129577 %
h = 0.0001
x2[1] (analytic) = 1.0007666798827329973483608485467
x2[1] (numeric) = 1.0007677434097124349387049335655
absolute error = 1.0635269794375903440850188e-06
relative error = 0.00010627122193578741257956229644724 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2307.9MB, alloc=4.6MB, time=369.79
NO POLE
NO POLE
t[1] = 0.543
x1[1] (analytic) = 2.0010458047292544833104512097672
x1[1] (numeric) = 2.0010437841651231623028359095422
absolute error = 2.0205641313210076153002250e-06
relative error = 0.00010097540628733353761395968252416 %
h = 0.0001
x2[1] (analytic) = 1.0007667809359633812874970143707
x2[1] (numeric) = 1.0007678495681389856915662739466
absolute error = 1.0686321756044040692595759e-06
relative error = 0.00010678133966486875513075914318659 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2311.7MB, alloc=4.6MB, time=370.50
memory used=2315.5MB, alloc=4.6MB, time=371.22
NO POLE
NO POLE
t[1] = 0.5431
x1[1] (analytic) = 2.0010457001540104072119618046742
x1[1] (numeric) = 2.001043670179546078416744481005
absolute error = 2.0299744643287952173236692e-06
relative error = 0.000101445682333619782339938971726 %
h = 0.0001
x2[1] (analytic) = 1.0007668820146359790993458748505
x2[1] (numeric) = 1.0007679557648968222338434460919
absolute error = 1.0737502608431344975712414e-06
relative error = 0.00010729274520771273422370567029425 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2319.3MB, alloc=4.6MB, time=371.92
NO POLE
NO POLE
t[1] = 0.5432
x1[1] (analytic) = 2.0010455955892233326622906396538
x1[1] (numeric) = 2.0010435561825535919520643908388
absolute error = 2.0394066697407102262488150e-06
relative error = 0.00010191705147728986050331278775779 %
h = 0.0001
x2[1] (analytic) = 1.0007669831187553568070473787597
x2[1] (numeric) = 1.0007680619999953205891662046892
absolute error = 1.0788812399637821188259295e-06
relative error = 0.00010780543904452105461109167638602 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2323.1MB, alloc=4.6MB, time=372.65
memory used=2327.0MB, alloc=4.6MB, time=373.38
NO POLE
NO POLE
t[1] = 0.5433
x1[1] (analytic) = 2.0010454910348922140135660978361
x1[1] (numeric) = 2.0010434421741445641982159557107
absolute error = 2.0488607476498153501421254e-06
relative error = 0.00010238951372315849974279226953891 %
h = 0.0001
x2[1] (analytic) = 1.0007670842483260813993276661372
x2[1] (numeric) = 1.0007681682734438588266580678792
absolute error = 1.0840251177774273304017420e-06
relative error = 0.00010831942165560292900380489642613 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2330.8MB, alloc=4.6MB, time=374.10
NO POLE
NO POLE
t[1] = 0.5434
x1[1] (analytic) = 2.0010453864910160057224761214477
x1[1] (numeric) = 2.0010433281543178563313725787765
absolute error = 2.0583366981493911035426712e-06
relative error = 0.00010286306907605128004837231018669 %
h = 0.0001
x2[1] (analytic) = 1.0007671854033527208306869760757
x2[1] (numeric) = 1.000768274585251817061362298695
absolute error = 1.0891818990962306753226193e-06
relative error = 0.00010883469352137510162230323545928 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2334.6MB, alloc=4.6MB, time=374.78
NO POLE
NO POLE
t[1] = 0.5435
x1[1] (analytic) = 2.0010452819575936623502577563788
x1[1] (numeric) = 2.0010432141230723294144495555942
absolute error = 2.0678345213329358082007846e-06
relative error = 0.00010333771754080463380641653715361 %
h = 0.0001
x2[1] (analytic) = 1.0007672865838398440215875926194
x2[1] (numeric) = 1.0007683809354285774546679733562
absolute error = 1.0943515887334330803807368e-06
relative error = 0.00010935125512236187175273942111686 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2338.4MB, alloc=4.6MB, time=375.50
memory used=2342.2MB, alloc=4.6MB, time=376.21
NO POLE
NO POLE
t[1] = 0.5436
x1[1] (analytic) = 2.0010451774346241385626866977953
x1[1] (numeric) = 2.0010431000804068443970928789449
absolute error = 2.0773542172941655938188504e-06
relative error = 0.00010381345912226584584484748873944 %
h = 0.0001
x2[1] (analytic) = 1.0007673877897920208586418287766
x2[1] (numeric) = 1.0007684873239835242147361364347
absolute error = 1.0995341915033560943076581e-06
relative error = 0.00010986910693919511730783915944993 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2346.0MB, alloc=4.6MB, time=376.92
NO POLE
NO POLE
t[1] = 0.5437
x1[1] (analytic) = 2.0010450729221063891300668367968
x1[1] (numeric) = 2.0010429860263202621156680425612
absolute error = 2.0868957861270143987942356e-06
relative error = 0.0001042902938252930534784420272987 %
h = 0.0001
x2[1] (analytic) = 1.0007674890212138221948000486563
x2[1] (numeric) = 1.0007685937509260435969260429105
absolute error = 1.1047297122214021259942542e-06
relative error = 0.00011038824945261431839253365878527 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2349.9MB, alloc=4.6MB, time=377.63
memory used=2353.7MB, alloc=4.6MB, time=378.33
NO POLE
NO POLE
t[1] = 0.5438
x1[1] (analytic) = 2.0010449684200393689272198081194
x1[1] (numeric) = 2.0010428719608114432932488437623
absolute error = 2.0964592279256339709643571e-06
relative error = 0.00010476822165475524655423197449251 %
h = 0.0001
x2[1] (analytic) = 1.0007675902781098198495387277349
x2[1] (numeric) = 1.0007687002162655239042214871338
absolute error = 1.1099381557040546827593989e-06
relative error = 0.0001109086831434665808743474862011 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2357.5MB, alloc=4.6MB, time=379.05
NO POLE
NO POLE
t[1] = 0.5439
x1[1] (analytic) = 2.0010448639284220329334745388842
x1[1] (numeric) = 2.0010427578838792485396061849962
absolute error = 2.1060445427843938683538880e-06
relative error = 0.00010524724261553226749700999391311 %
h = 0.0001
x2[1] (analytic) = 1.0007676915604845866090485512622
x2[1] (numeric) = 1.0007688067200113554876572187126
absolute error = 1.1151595267688786086674504e-06
relative error = 0.00011143040849270665995854270120982 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2361.3MB, alloc=4.6MB, time=379.76
NO POLE
NO POLE
t[1] = 0.544
x1[1] (analytic) = 2.00104475944725333623265679839
x1[1] (numeric) = 2.0010426437955225383511968742887
absolute error = 2.1156517307978814599241013e-06
relative error = 0.0001057273567125148113549406614533 %
h = 0.0001
x2[1] (analytic) = 1.0007677928683426962264225508125
x2[1] (numeric) = 1.0007689132621729307467454453416
absolute error = 1.1203938302345203228945291e-06
relative error = 0.0001119534259813969837680202112117 %
memory used=2365.1MB, alloc=4.6MB, time=380.45
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2368.9MB, alloc=4.6MB, time=381.16
NO POLE
NO POLE
t[1] = 0.5441
x1[1] (analytic) = 2.0010446549765322340130787489525
x1[1] (numeric) = 2.0010425296957401731111524245993
absolute error = 2.1252807920609019263243532e-06
relative error = 0.00010620856395060442584527683370454 %
h = 0.0001
x2[1] (analytic) = 1.0007678942016887234218442789903
x2[1] (numeric) = 1.0007690198427596441299024225914
absolute error = 1.1256410709207080581436011e-06
relative error = 0.0001124777360907076769279792432974 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2372.7MB, alloc=4.6MB, time=381.87
NO POLE
NO POLE
t[1] = 0.5442
x1[1] (analytic) = 2.0010445505162576815675284977864
x1[1] (numeric) = 2.0010424155845310130892678520836
absolute error = 2.1349317266684782606457028e-06
relative error = 0.00010669086433471351140018115480825 %
h = 0.0001
x2[1] (analytic) = 1.0007679955605272438827760222967
x2[1] (numeric) = 1.0007691264617808921348751306747
absolute error = 1.1309012536482520991083780e-06
relative error = 0.00011300333930191658415533593686941 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2376.6MB, alloc=4.6MB, time=382.59
memory used=2380.4MB, alloc=4.6MB, time=383.33
NO POLE
NO POLE
t[1] = 0.5443
x1[1] (analytic) = 2.001044446066428634293259649934
x1[1] (numeric) = 2.0010423014618939184419904732623
absolute error = 2.1446045347158512691766717e-06
relative error = 0.00010717425786976532121265287700983 %
h = 0.0001
x2[1] (analytic) = 1.0007680969448628342641470521641
x2[1] (numeric) = 1.0007692331192460733091680382073
absolute error = 1.1361743832390450209860432e-06
relative error = 0.0001135302360964092938529020215587 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2384.2MB, alloc=4.6MB, time=384.05
NO POLE
NO POLE
t[1] = 0.5444
x1[1] (analytic) = 2.0010443416270440476919808622373
x1[1] (numeric) = 2.0010421873278277492124087010969
absolute error = 2.1542992162984795721611404e-06
relative error = 0.00010765874456069396128255984033711 %
h = 0.0001
x2[1] (analytic) = 1.0007681983547000721885419141682
x2[1] (numeric) = 1.0007693398151645882504699529815
absolute error = 1.1414604645160619280388133e-06
relative error = 0.000114058426955679161708324385012 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2388.0MB, alloc=4.6MB, time=384.76
NO POLE
NO POLE
memory used=2391.8MB, alloc=4.6MB, time=385.48
t[1] = 0.5445
x1[1] (analytic) = 2.0010442371981028773698453983554
x1[1] (numeric) = 2.0010420731823313653302408399712
absolute error = 2.1640157715120396045583842e-06
relative error = 0.00010814432441244439046277574667362 %
h = 0.0001
x2[1] (analytic) = 1.0007682997900435362463887554236
x2[1] (numeric) = 1.0007694465495458396070809597693
absolute error = 1.1467595023033606922043457e-06
relative error = 0.00011458791236132733429778658490923 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2395.6MB, alloc=4.6MB, time=386.20
NO POLE
NO POLE
t[1] = 0.5446
x1[1] (analytic) = 2.0010441327796040790374406848257
x1[1] (numeric) = 2.0010419590254036266118238795797
absolute error = 2.1737542004524256168052460e-06
relative error = 0.00010863099742997242050542259863532 %
h = 0.0001
x2[1] (analytic) = 1.00076840125089780599614769017
x2[1] (numeric) = 1.0007695533223992320783394451732
absolute error = 1.1520715014260821917550032e-06
relative error = 0.00011511869279506277269447332956964 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2399.4MB, alloc=4.6MB, time=386.94
NO POLE
NO POLE
t[1] = 0.5447
x1[1] (analytic) = 2.0010440283715466085097778681699
x1[1] (numeric) = 2.0010418448570433927601022877214
absolute error = 2.1835145032157496755804485e-06
relative error = 0.00010911876361824471610821842852596 %
h = 0.0001
x2[1] (analytic) = 1.0007685027372674619644992035593
x2[1] (numeric) = 1.0007696601337341724150492095422
absolute error = 1.1573964667104505500059829e-06
relative error = 0.00011565076873870227608179860174971 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2403.3MB, alloc=4.6MB, time=387.67
memory used=2407.1MB, alloc=4.6MB, time=388.40
NO POLE
NO POLE
t[1] = 0.5448
x1[1] (analytic) = 2.0010439239739294217062813730445
x1[1] (numeric) = 2.0010417306772495233646168020005
absolute error = 2.1932966798983416645710440e-06
relative error = 0.00010960762298223879496093022775889 %
h = 0.0001
x2[1] (analytic) = 1.0007686042491570856465325936475
x2[1] (numeric) = 1.00076976698356006941990666597
absolute error = 1.1627344029837733740723225e-06
relative error = 0.00011618414067417050537139867976704 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2410.9MB, alloc=4.6MB, time=389.10
NO POLE
NO POLE
t[1] = 0.5449
x1[1] (analytic) = 2.0010438195867514746507784614341
x1[1] (numeric) = 2.0010416164860208779014932204321
absolute error = 2.2031007305967492852410020e-06
relative error = 0.0001100975755269430277919320870804 %
h = 0.0001
x2[1] (analytic) = 1.0007687057865712595059344516027
x2[1] (numeric) = 1.0007698738718863339479281263938
absolute error = 1.1680853150744419936747911e-06
relative error = 0.00011671880908350000682589071052044 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2414.7MB, alloc=4.6MB, time=389.81
memory used=2418.5MB, alloc=4.6MB, time=390.51
NO POLE
NO POLE
t[1] = 0.545
x1[1] (analytic) = 2.0010437152100117234714887928907
x1[1] (numeric) = 2.0010415022833563157334311909545
absolute error = 2.2129266554077380576019362e-06
relative error = 0.00011058862125735663841486862789348 %
h = 0.0001
x2[1] (analytic) = 1.0007688073495145669751771801329
x2[1] (numeric) = 1.0007699807987223789068771748108
absolute error = 1.1734492078119316999946779e-06
relative error = 0.00011725477444883123568639811846943 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2422.3MB, alloc=4.6MB, time=391.19
NO POLE
NO POLE
t[1] = 0.5451
x1[1] (analytic) = 2.0010436108437091244010139858152
x1[1] (numeric) = 2.0010413880692546961096929998469
absolute error = 2.2227744544282913209859683e-06
relative error = 0.00011108076017848970377542359508999 %
h = 0.0001
x2[1] (analytic) = 1.0007689089379915924557075501459
x2[1] (numeric) = 1.00077008776407761925769212763
absolute error = 1.1788260860268019845774841e-06
relative error = 0.00011779203725241257980484332523352 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2426.1MB, alloc=4.6MB, time=391.85
NO POLE
NO POLE
t[1] = 0.5452
x1[1] (analytic) = 2.0010435064878426337763271797836
x1[1] (numeric) = 2.0010412738437148781660923590526
absolute error = 2.2326441277556102348207310e-06
relative error = 0.00011157399229536315399819373166916 %
h = 0.0001
x2[1] (analytic) = 1.0007690105520069213181352956431
x2[1] (numeric) = 1.0007701947679614720149135811767
absolute error = 1.1842159545506967782855336e-06
relative error = 0.00011833059797660038328100928365749 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2430.0MB, alloc=4.6MB, time=392.51
memory used=2433.8MB, alloc=4.6MB, time=393.18
NO POLE
NO POLE
t[1] = 0.5453
x1[1] (analytic) = 2.0010434021424112080387625989169
x1[1] (numeric) = 2.0010411596067357209249831924078
absolute error = 2.2425356754871137794065091e-06
relative error = 0.00011206831761300877243366788051117 %
h = 0.0001
x2[1] (analytic) = 1.0007691121915651399024217468614
x2[1] (numeric) = 1.0007703018103833562471120463683
absolute error = 1.1896188182163446902995069e-06
relative error = 0.00011887045710385897010437021102394 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2437.6MB, alloc=4.6MB, time=393.83
NO POLE
NO POLE
t[1] = 0.5454
x1[1] (analytic) = 2.0010432978074138037340051162941
x1[1] (numeric) = 2.0010410453583160832952484207761
absolute error = 2.2524490977204387566955180e-06
relative error = 0.00011256373613646919570531127866439 %
h = 0.0001
x2[1] (analytic) = 1.0007692138566708355180685016641
x2[1] (numeric) = 1.0007704088913526930773156705772
absolute error = 1.1950346818575592471689131e-06
relative error = 0.00011941161511676066780069295526499 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2441.4MB, alloc=4.6MB, time=394.49
memory used=2445.2MB, alloc=4.6MB, time=395.15
NO POLE
NO POLE
t[1] = 0.5455
x1[1] (analytic) = 2.0010431934828493775120798194094
x1[1] (numeric) = 2.0010409310984548240722887460878
absolute error = 2.2623843945534397910733216e-06
relative error = 0.0001130602478707979137567551444341 %
h = 0.0001
x2[1] (analytic) = 1.0007693155473285964443061351942
x2[1] (numeric) = 1.0007705160108789056834380467005
absolute error = 1.2004635503092391319115063e-06
relative error = 0.00011995407249798583108340956866053 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2449.0MB, alloc=4.6MB, time=395.81
NO POLE
NO POLE
t[1] = 0.5456
x1[1] (analytic) = 2.0010430891687168861273415766721
x1[1] (numeric) = 2.0010408168271508019380114342849
absolute error = 2.2723415660841893301423872e-06
relative error = 0.00011355785282105926989909143767541 %
h = 0.0001
x2[1] (analytic) = 1.0007694172635430119302829477936
x2[1] (numeric) = 1.000770623168971419298706109452
absolute error = 1.2059054284073684231616584e-06
relative error = 0.00012049782973032286550976223304909 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2452.8MB, alloc=4.6MB, time=396.49
NO POLE
NO POLE
t[1] = 0.5457
x1[1] (analytic) = 2.0010429848650152864384646049505
x1[1] (numeric) = 2.0010407025444028754608190971706
absolute error = 2.2823206124109776455077799e-06
relative error = 0.00011405655099232846085827291856509 %
h = 0.0001
x2[1] (analytic) = 1.0007695190053186721952537511981
x2[1] (numeric) = 1.0007707303656396612120881188962
absolute error = 1.2113603209890168343676981e-06
relative error = 0.00012104288729666825114172146072211 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2456.7MB, alloc=4.6MB, time=397.14
memory used=2460.5MB, alloc=4.6MB, time=397.81
NO POLE
NO POLE
t[1] = 0.5458
x1[1] (analytic) = 2.0010428805717435354084320381582
x1[1] (numeric) = 2.0010405882502099030955984731646
absolute error = 2.2923215336323128335649936e-06
relative error = 0.00011455634238969153682261836026786 %
h = 0.0001
x2[1] (analytic) = 1.0007696207726601684287686930148
x2[1] (numeric) = 1.0007708376008930607687217312399
absolute error = 1.2168282328923399530382251e-06
relative error = 0.00012158924568002656621167841520963 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2464.3MB, alloc=4.6MB, time=398.46
NO POLE
NO POLE
t[1] = 0.5459
x1[1] (analytic) = 2.0010427762889005901045254968843
x1[1] (numeric) = 2.0010404739445707431837092069624
absolute error = 2.3023443298469208162899219e-06
relative error = 0.00011505722701824540149042308075098 %
h = 0.0001
x2[1] (analytic) = 1.0007697225655720927908621194898
x2[1] (numeric) = 1.0007709448747410493703421569006
absolute error = 1.2223091689565794800374108e-06
relative error = 0.00012213690536351051079291242596481 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2468.1MB, alloc=4.6MB, time=399.14
memory used=2471.9MB, alloc=4.6MB, time=399.86
NO POLE
NO POLE
t[1] = 0.546
x1[1] (analytic) = 2.0010426720164854076983146590661
x1[1] (numeric) = 2.0010403596274842539529726281002
absolute error = 2.3123890011537453420309659e-06
relative error = 0.00011555920488309781211767464416498 %
h = 0.0001
x2[1] (analytic) = 1.000769824384059038412241476574
x2[1] (numeric) = 1.0007710521871930604757104058682
absolute error = 1.2278031340220634689292942e-06
relative error = 0.00012268586683034093047483451113021 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2475.7MB, alloc=4.6MB, time=400.54
NO POLE
NO POLE
t[1] = 0.5461
x1[1] (analytic) = 2.0010425677544969454656468317046
x1[1] (numeric) = 2.0010402452989492935176605284239
absolute error = 2.3224555476519479863032807e-06
relative error = 0.00011606227598936737956587382208348 %
h = 0.0001
x2[1] (analytic) = 1.0007699262281255993944762492939
x2[1] (numeric) = 1.0007711595382585296010416203788
absolute error = 1.2333101329302065653710849e-06
relative error = 0.00012323613056384684004300804229864 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2479.6MB, alloc=4.6MB, time=401.20
NO POLE
NO POLE
t[1] = 0.5462
x1[1] (analytic) = 2.0010424635029341607866365236233
x1[1] (numeric) = 2.0010401309589647198784839384628
absolute error = 2.3325439694409081525851605e-06
relative error = 0.00011656644034218356834996080994419 %
h = 0.0001
x2[1] (analytic) = 1.0007700280977763708101869394357
x2[1] (numeric) = 1.0007712669279468943204334949165
absolute error = 1.2388301705235102465554808e-06
relative error = 0.00012378769704746544716394725548795 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2483.4MB, alloc=4.6MB, time=401.86
memory used=2487.2MB, alloc=4.6MB, time=402.54
NO POLE
NO POLE
t[1] = 0.5463
x1[1] (analytic) = 2.001042359261796011145655019269
x1[1] (numeric) = 2.0010400166075293909225819027082
absolute error = 2.3426542666202230731165608e-06
relative error = 0.00011707169794668669668634662406987 %
h = 0.0001
x2[1] (analytic) = 1.0007701299930159487032340815506
x2[1] (numeric) = 1.000771374356267594266294783563
absolute error = 1.2443632516455630607020124e-06
relative error = 0.00012434056676474217607469474219421 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2491.0MB, alloc=4.6MB, time=403.21
NO POLE
NO POLE
t[1] = 0.5464
x1[1] (analytic) = 2.0010422550310814541313199535558
x1[1] (numeric) = 2.0010399022446421644235102537956
absolute error = 2.3527864392897078096997602e-06
relative error = 0.0001175780488080279365410498045435 %
h = 0.0001
x2[1] (analytic) = 1.000770231913848930088907297288
x2[1] (numeric) = 1.0007714818232300711297738947103
absolute error = 1.2499093811410408665974223e-06
relative error = 0.00012489474019933069127717872461734 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2494.8MB, alloc=4.6MB, time=403.60
memory used=2498.6MB, alloc=4.6MB, time=403.88
NO POLE
NO POLE
t[1] = 0.5465
x1[1] (analytic) = 2.0010421508107894474364848877511
x1[1] (numeric) = 2.0010397878703018980412303855918
absolute error = 2.3629404875493952545021593e-06
relative error = 0.00011808549293136931367793829934223 %
h = 0.0001
x2[1] (analytic) = 1.0007703338602799129541143880638
x2[1] (numeric) = 1.0007715893288437686611875731563
absolute error = 1.2554685638557070731850925e-06
relative error = 0.00012545021783499292123735131882172 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2502.4MB, alloc=4.6MB, time=404.15
NO POLE
NO POLE
t[1] = 0.5466
x1[1] (analytic) = 2.001042046600918948858228886404
x1[1] (numeric) = 2.001039673484507449322098025186
absolute error = 2.3731164114995361308612180e-06
relative error = 0.00011859403032188370770707659503573 %
h = 0.0001
x2[1] (analytic) = 1.0007704358323134962575704660742
x2[1] (numeric) = 1.0007716968731181326704496695994
absolute error = 1.2610408046364128792035252e-06
relative error = 0.00012600700015559908208910830010015 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2506.3MB, alloc=4.6MB, time=404.42
NO POLE
NO POLE
memory used=2510.1MB, alloc=4.6MB, time=404.70
t[1] = 0.5467
x1[1] (analytic) = 2.0010419424014689162978460953164
x1[1] (numeric) = 2.0010395590872576756988520037849
absolute error = 2.3833142112405989940915315e-06
relative error = 0.00011910366098475485213317810938026 %
h = 0.0001
x2[1] (analytic) = 1.000770537829954279929987123659
x2[1] (numeric) = 1.0007718044560626110274999975504
absolute error = 1.2666261083310975128738914e-06
relative error = 0.00012656508764512770134299174412467 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2513.9MB, alloc=4.6MB, time=404.97
NO POLE
NO POLE
t[1] = 0.5468
x1[1] (analytic) = 2.0010418382124383077608353205558
x1[1] (numeric) = 2.0010394446785514344906030265115
absolute error = 2.3935338868732702322940443e-06
relative error = 0.00011961438492517733440416281116596 %
h = 0.0001
x2[1] (analytic) = 1.0007706398532068648742616410238
x2[1] (numeric) = 1.0007719120776866536627332776792
absolute error = 1.2722244797887884716366554e-06
relative error = 0.00012712448078766564159967629791992 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2517.7MB, alloc=4.6MB, time=405.25
NO POLE
NO POLE
t[1] = 0.5469
x1[1] (analytic) = 2.00104173403382608135688960851
x1[1] (numeric) = 2.0010393302583875829028224411084
absolute error = 2.4037754384984540671674016e-06
relative error = 0.00012012620214835659595982003767227 %
h = 0.0001
x2[1] (analytic) = 1.0007707419020758529656662323299
x2[1] (numeric) = 1.0007720197379997125674281696142
absolute error = 1.2778359238596017619372843e-06
relative error = 0.00012768518006740812426823993459352 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2521.5MB, alloc=4.6MB, time=405.52
memory used=2525.3MB, alloc=4.6MB, time=405.80
NO POLE
NO POLE
t[1] = 0.547
x1[1] (analytic) = 2.0010416298656311952998858269846
x1[1] (numeric) = 2.0010392158267649780273310055441
absolute error = 2.4140388662172725548214405e-06
relative error = 0.00012063911265950893228057663000783 %
h = 0.0001
x2[1] (analytic) = 1.0007708439765658470520373301571
x2[1] (numeric) = 1.0007721274370112417941763912115
absolute error = 1.2834604453947421390610544e-06
relative error = 0.00012824718596865875328922032551879 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2529.1MB, alloc=4.6MB, time=406.07
NO POLE
NO POLE
t[1] = 0.5471
x1[1] (analytic) = 2.0010415257078526079078742473412
x1[1] (numeric) = 2.0010391013836824768422876545234
absolute error = 2.4243241701310655865928178e-06
relative error = 0.00012115311646386149293637022675749 %
h = 0.0001
x2[1] (analytic) = 1.0007709460766814509539649083477
x2[1] (numeric) = 1.000772235174730697457311925312
absolute error = 1.2890980492465033470169643e-06
relative error = 0.00012881049897582953886245775380203 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2533.0MB, alloc=4.6MB, time=406.34
memory used=2536.8MB, alloc=4.6MB, time=406.62
NO POLE
NO POLE
t[1] = 0.5472
x1[1] (analytic) = 2.0010414215604892776030681276782
x1[1] (numeric) = 2.0010389869291389362121782649014
absolute error = 2.4346313503413908898627768e-06
relative error = 0.00012166821356665228163562783621262 %
h = 0.0001
x2[1] (analytic) = 1.0007710482024272694649818432414
x2[1] (numeric) = 1.000772342951167537733340314004
absolute error = 1.2947487402682683584707626e-06
relative error = 0.00012937511957344092117972530298849 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2540.6MB, alloc=4.6MB, time=406.89
NO POLE
NO POLE
t[1] = 0.5473
x1[1] (analytic) = 2.0010413174235401629118332970529
x1[1] (numeric) = 2.0010388724631332128878044200005
absolute error = 2.4449604069500240288770524e-06
relative error = 0.00012218440397313015627434965254204 %
h = 0.0001
x2[1] (analytic) = 1.0007711503538079083517533133059
x2[1] (numeric) = 1.0007724507663312228613680404089
absolute error = 1.3004125233145096147271030e-06
relative error = 0.00012994104824612179416214754456028 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2544.4MB, alloc=4.6MB, time=407.17
NO POLE
NO POLE
t[1] = 0.5474
x1[1] (analytic) = 2.0010412132970042224646777407449
x1[1] (numeric) = 2.0010387579856641635062721728312
absolute error = 2.4553113400589584055679137e-06
relative error = 0.00012270168768855482898529807626315 %
h = 0.0001
x2[1] (analytic) = 1.0007712525308279743542662371721
x2[1] (numeric) = 1.0007725586202312151435319980075
absolute error = 1.3060894032407892657608354e-06
relative error = 0.00013050828547860952920240852807801 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2548.2MB, alloc=4.6MB, time=407.45
memory used=2552.0MB, alloc=4.6MB, time=407.75
NO POLE
NO POLE
t[1] = 0.5475
x1[1] (analytic) = 2.0010411091808804149962411865617
x1[1] (numeric) = 2.0010386434967306445909808082156
absolute error = 2.4656841497704052603783461e-06
relative error = 0.00012322006471819686618729203929987 %
h = 0.0001
x2[1] (analytic) = 1.0007713547334920751860187500817
x2[1] (numeric) = 1.000772666512876978945429047525
absolute error = 1.3117793849037594102974433e-06
relative error = 0.00013107683175574999891175004766283 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2555.8MB, alloc=4.6MB, time=408.04
NO POLE
NO POLE
t[1] = 0.5476
x1[1] (analytic) = 2.0010410050751676993452846921844
x1[1] (numeric) = 2.0010385289963315125516116038147
absolute error = 2.4760788361867936730883697e-06
relative error = 0.00012373953506733768863460647504952 %
h = 0.0001
x2[1] (analytic) = 1.000771456961804819534209718755
x2[1] (numeric) = 1.0007727744442779806965456613919
absolute error = 1.3174824731611623359426369e-06
relative error = 0.0001316466875624976008717610685609 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2559.7MB, alloc=4.6MB, time=408.31
memory used=2563.5MB, alloc=4.6MB, time=408.59
NO POLE
NO POLE
t[1] = 0.5477
x1[1] (analytic) = 2.001040900979865034454680233556
x1[1] (numeric) = 2.001038414484465623684116590058
absolute error = 2.4864953994107705636434980e-06
relative error = 0.000124260098741269571466477133693 %
h = 0.0001
x2[1] (analytic) = 1.0007715592157708170599282946849
x2[1] (numeric) = 1.0007728824144436888906876557986
absolute error = 1.3231986728718307593611137e-06
relative error = 0.00013221785338391528139095943732279 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2567.3MB, alloc=4.6MB, time=408.87
NO POLE
NO POLE
t[1] = 0.5478
x1[1] (analytic) = 2.0010407968949713793714002943094
x1[1] (numeric) = 2.0010382999611318341707073089766
absolute error = 2.4969338395452006929853328e-06
relative error = 0.00012478175574529564425671053819366 %
h = 0.0001
x2[1] (analytic) = 1.0007716614953946783983435058677
x2[1] (numeric) = 1.0007729904233835740864100103618
absolute error = 1.3289279888956880665044941e-06
relative error = 0.00013279032970517455926616656943732 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2571.1MB, alloc=4.6MB, time=409.14
NO POLE
NO POLE
t[1] = 0.5479
x1[1] (analytic) = 2.0010406928204856932465074562378
x1[1] (numeric) = 2.0010381854263290000798435719386
absolute error = 2.5073941566931666638842992e-06
relative error = 0.00012530450608472989106339927622169 %
h = 0.0001
x2[1] (analytic) = 1.0007717638006810151588938869747
x2[1] (numeric) = 1.0007730984711071089074467754197
absolute error = 1.3346704260937485528884450e-06
relative error = 0.00013336411701155554954867635781163 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2574.9MB, alloc=4.6MB, time=409.41
memory used=2578.7MB, alloc=4.6MB, time=409.69
NO POLE
NO POLE
t[1] = 0.548
x1[1] (analytic) = 2.0010405887564069353351439908049
x1[1] (numeric) = 2.0010380708800559773662222162877
absolute error = 2.5178763509579689217745172e-06
relative error = 0.0001258283497648971504787424534337 %
h = 0.0001
x2[1] (analytic) = 1.0007718661316344399254771479759
x2[1] (numeric) = 1.0007732065576237680431410669742
absolute error = 1.3404259893281176639189983e-06
relative error = 0.0001339392157884469873152189359343 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2582.6MB, alloc=4.6MB, time=409.97
NO POLE
NO POLE
t[1] = 0.5481
x1[1] (analytic) = 2.0010404847027340649965214516964
x1[1] (numeric) = 2.001037956322311621870765860884
absolute error = 2.5283804224431257555908124e-06
relative error = 0.00012635328679113311567897143338067 %
h = 0.0001
x2[1] (analytic) = 1.00077196848825956625663988122
x2[1] (numeric) = 1.0007733146829430282488751492976
absolute error = 1.3461946834619922352680776e-06
relative error = 0.00013451562652134625144372056904145 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2586.4MB, alloc=4.6MB, time=410.25
memory used=2590.2MB, alloc=4.6MB, time=410.53
NO POLE
NO POLE
t[1] = 0.5482
x1[1] (analytic) = 2.0010403806594660416939102684121
x1[1] (numeric) = 2.0010378417530947893206116605476
absolute error = 2.5389063712523732986078645e-06
relative error = 0.00012687931716878433447438079941636 %
h = 0.0001
x2[1] (analytic) = 1.0007720708705610086857673069816
x2[1] (numeric) = 1.0007734228470743683465006052214
absolute error = 1.3519765133596607332982398e-06
relative error = 0.00013509334969585938839386028708967 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2594.0MB, alloc=4.6MB, time=410.80
NO POLE
NO POLE
t[1] = 0.5483
x1[1] (analytic) = 2.0010402766266018249946293408987
x1[1] (numeric) = 2.0010377271724043353291000594041
absolute error = 2.5494541974896655292814946e-06
relative error = 0.00012740644090320820935946458891854 %
h = 0.0001
x2[1] (analytic) = 1.0007721732785433827212730574806
x2[1] (numeric) = 1.0007735310500272692247685941252
absolute error = 1.3577714838865034955366446e-06
relative error = 0.00013567238579770113599242450282981 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2597.8MB, alloc=4.6MB, time=411.07
NO POLE
NO POLE
t[1] = 0.5484
x1[1] (analytic) = 2.0010401726041403745700356352229
x1[1] (numeric) = 2.001037612580239115395763543133
absolute error = 2.5600239012591742720920899e-06
relative error = 0.00012793465799977299756315773019732 %
h = 0.0001
x2[1] (analytic) = 1.0007722757122113048467889993825
x2[1] (numeric) = 1.0007736392918112138397601976431
absolute error = 1.3635795999089929711982606e-06
relative error = 0.00013625273531269494722346042858272 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2601.6MB, alloc=4.6MB, time=411.35
memory used=2605.4MB, alloc=4.6MB, time=411.63
NO POLE
NO POLE
t[1] = 0.5485
x1[1] (analytic) = 2.0010400685920806501955137802847
x1[1] (numeric) = 2.001037497976597984906315390118
absolute error = 2.5706154826652891983901667e-06
relative error = 0.00012846396846385781109918272740557 %
h = 0.0001
x2[1] (analytic) = 1.0007723781715693925213550947881
x2[1] (numeric) = 1.0007737475724356872153168531052
absolute error = 1.3694008662946939617583171e-06
relative error = 0.0001368343987267730140232291452628 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2609.3MB, alloc=4.6MB, time=411.90
NO POLE
NO POLE
t[1] = 0.5486
x1[1] (analytic) = 2.001039964590421611750465665572
x1[1] (numeric) = 2.0010373833614797991326384214992
absolute error = 2.5812289418126178272440728e-06
relative error = 0.00012899437230085261681650164876059 %
h = 0.0001
x2[1] (analytic) = 1.0007724806566222641796093007181
x2[1] (numeric) = 1.0007738558919101764434708747326
absolute error = 1.3752352879122638615740145e-06
relative error = 0.00013741737652597629107995955687791 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2613.1MB, alloc=4.6MB, time=412.17
memory used=2616.9MB, alloc=4.6MB, time=412.45
NO POLE
NO POLE
t[1] = 0.5487
x1[1] (analytic) = 2.0010398605991622192183000399536
x1[1] (numeric) = 2.0010372687348834132327737501275
absolute error = 2.5918642788059855262898261e-06
relative error = 0.00012952586951615823644987325849829 %
h = 0.0001
x2[1] (analytic) = 1.000772583167374539231977507103
x2[1] (numeric) = 1.0007739642502441706848760626027
absolute error = 1.3810828696314528985554997e-06
relative error = 0.00013800166919645451963840381421081 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2620.7MB, alloc=4.6MB, time=412.72
NO POLE
NO POLE
t[1] = 0.5488
x1[1] (analytic) = 2.0010397566183014326864221115141
x1[1] (numeric) = 2.0010371540968076822509095284209
absolute error = 2.6025214937504355125830932e-06
relative error = 0.00013005846011518634667051548279895 %
h = 0.0001
x2[1] (analytic) = 1.0007726857038308380648635132833
x2[1] (numeric) = 1.0007740726474471611692383994032
absolute error = 1.3869436163231043748861199e-06
relative error = 0.00013858727722446625130919549082336 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2624.5MB, alloc=4.6MB, time=413.00
NO POLE
NO POLE
memory used=2628.3MB, alloc=4.6MB, time=413.27
t[1] = 0.5489
x1[1] (analytic) = 2.0010396526478382123462231484276
x1[1] (numeric) = 2.0010370394472514611173696951224
absolute error = 2.6132005867512288534533052e-06
relative error = 0.00013059214410335947913687307009514 %
h = 0.0001
x2[1] (analytic) = 1.0007727882659957820408390430292
x2[1] (numeric) = 1.000774181083528641195746834992
absolute error = 1.3928175328591549077919628e-06
relative error = 0.00013917420109637887188301125491641 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2632.1MB, alloc=4.6MB, time=413.55
NO POLE
NO POLE
t[1] = 0.549
x1[1] (analytic) = 2.0010395486877715184930700808716
x1[1] (numeric) = 2.0010369247862136046486027209596
absolute error = 2.6239015579138444673599120e-06
relative error = 0.00013112692148611102054549051106575 %
h = 0.0001
x2[1] (analytic) = 1.0007728908538739934988337980875
x2[1] (numeric) = 1.0007742895584981061335041587814
absolute error = 1.3987046241126346703606939e-06
relative error = 0.00013976244129866862514953705034591 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2636.0MB, alloc=4.6MB, time=413.83
NO POLE
NO POLE
t[1] = 0.5491
x1[1] (analytic) = 2.0010394447381003115262951039805
x1[1] (numeric) = 2.0010368101136929675471703532058
absolute error = 2.6346244073439791247507747e-06
relative error = 0.00013166279226888521268199019866427 %
h = 0.0001
x2[1] (analytic) = 1.000772993467470095754325550262
x2[1] (numeric) = 1.0007743980723650534219579599635
absolute error = 1.4046048949576676324097015e-06
relative error = 0.00014035199831792063672123979007887 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2639.8MB, alloc=4.6MB, time=414.10
memory used=2643.6MB, alloc=4.6MB, time=414.38
NO POLE
NO POLE
t[1] = 0.5492
x1[1] (analytic) = 2.0010393407988235519491852818395
x1[1] (numeric) = 2.001036695429688404401736359143
absolute error = 2.6453691351475474489226965e-06
relative error = 0.00013219975645713715247215584850835 %
h = 0.0001
x2[1] (analytic) = 1.0007730961067887130995302720376
x2[1] (numeric) = 1.0007745066251389825713316755952
absolute error = 1.4105183502694718014035576e-06
relative error = 0.00014094287264082893786194532553347 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2647.4MB, alloc=4.6MB, time=414.65
NO POLE
NO POLE
t[1] = 0.5493
x1[1] (analytic) = 2.0010392368699402003689721525167
x1[1] (numeric) = 2.0010365807341987696870552684254
absolute error = 2.6561357414306819168840913e-06
relative error = 0.00013273781405633279203312113998919 %
h = 0.0001
x2[1] (analytic) = 1.0007731987718344708035923057518
x2[1] (numeric) = 1.0007746152168293951630557265599
absolute error = 1.4164449949243594634208081e-06
relative error = 0.00014153506475419648932022397482222 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2651.2MB, alloc=4.6MB, time=414.93
memory used=2655.0MB, alloc=4.6MB, time=415.21
NO POLE
NO POLE
t[1] = 0.5494
x1[1] (analytic) = 2.001039132951449217496821334136
x1[1] (numeric) = 2.0010364660272229177639611143448
absolute error = 2.6669242262997328602197912e-06
relative error = 0.00013327696507194893872466363840694 %
h = 0.0001
x2[1] (analytic) = 1.0007733014626119951127745713262
x2[1] (numeric) = 1.0007747238474457948501987414245
absolute error = 1.4223848337997374241700983e-06
relative error = 0.00014212857514493520516758415346306 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2658.8MB, alloc=4.6MB, time=415.48
NO POLE
NO POLE
t[1] = 0.5495
x1[1] (analytic) = 2.0010390290433495641478221319885
x1[1] (numeric) = 2.0010363513087597028793561739971
absolute error = 2.6777345898612684659579914e-06
relative error = 0.00013381720950947325520060392350846 %
h = 0.0001
x2[1] (analytic) = 1.000773404179125913250648812561
x2[1] (numeric) = 1.0007748325169976873578988682089
absolute error = 1.4283378717741072500556479e-06
relative error = 0.00014272340430006597664147547046662 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2662.7MB, alloc=4.6MB, time=415.75
NO POLE
NO POLE
t[1] = 0.5496
x1[1] (analytic) = 2.0010389251456402012409771466834
x1[1] (numeric) = 2.0010362365788079791661997073495
absolute error = 2.6885668322220747774393339e-06
relative error = 0.00013435854737440425946030999472843 %
h = 0.0001
x2[1] (analytic) = 1.0007735069213808534182858820036
x2[1] (numeric) = 1.0007749412254945804837951740852
absolute error = 1.4343041137270655092920816e-06
relative error = 0.00014331955270671869599310184330813 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2666.5MB, alloc=4.6MB, time=416.02
memory used=2670.3MB, alloc=4.6MB, time=416.31
NO POLE
NO POLE
t[1] = 0.5497
x1[1] (analytic) = 2.0010388212583200897991918833379
x1[1] (numeric) = 2.0010361218373666006434966952089
absolute error = 2.6994209534891556951881290e-06
relative error = 0.00013490097867225132490030690349719 %
h = 0.0001
x2[1] (analytic) = 1.0007736096893814447944460643966
x2[1] (numeric) = 1.0007750499729459840984591330256
absolute error = 1.4402835645393040130686290e-06
relative error = 0.00014391702085213228034004594468129 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2674.1MB, alloc=4.6MB, time=416.60
NO POLE
NO POLE
t[1] = 0.5498
x1[1] (analytic) = 2.0010387173813881909492643618066
x1[1] (numeric) = 2.001036007084434421216286576091
absolute error = 2.7102969537697329777857156e-06
relative error = 0.00013544450340853468036599166292627 %
h = 0.0001
x2[1] (analytic) = 1.0007737124831323175357694387145
x2[1] (numeric) = 1.0007751587593614101458262014159
absolute error = 1.4462762290926100567627014e-06
relative error = 0.0001445158092236546955237056843781 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2677.9MB, alloc=4.6MB, time=416.90
memory used=2681.7MB, alloc=4.6MB, time=417.21
NO POLE
NO POLE
t[1] = 0.5499
x1[1] (analytic) = 2.001038613514843465921874727949
x1[1] (numeric) = 2.0010358923200102946756319819901
absolute error = 2.7211948331712462427459589e-06
relative error = 0.00013598912158878541020345336524534 %
h = 0.0001
x2[1] (analytic) = 1.0007738153026381027769662787961
x2[1] (numeric) = 1.0007752675847503726436274816522
absolute error = 1.4522821122698666612028561e-06
relative error = 0.00014511591830874297997154372938221 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2685.6MB, alloc=4.6MB, time=417.50
NO POLE
NO POLE
t[1] = 0.55
x1[1] (analytic) = 2.0010385096586848760515748659368
x1[1] (numeric) = 2.0010357775440930746986074730496
absolute error = 2.7321145918013529673928872e-06
relative error = 0.00013653483321854545431139859228345 %
h = 0.0001
x2[1] (analytic) = 1.0007739181479034326310074925802
x2[1] (numeric) = 1.0007753764491223876838214737394
absolute error = 1.4583012189550528139811592e-06
relative error = 0.00014571734859496326856415110520804 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2689.4MB, alloc=4.6MB, time=417.80
NO POLE
NO POLE
t[1] = 0.5501
x1[1] (analytic) = 2.0010384058129113827767780115989
x1[1] (numeric) = 2.001035662756681614848288271133
absolute error = 2.7430562297679284897404659e-06
relative error = 0.0001370816383033676081931820243808 %
h = 0.0001
x2[1] (analytic) = 1.0007740210189329401893150999518
x2[1] (numeric) = 1.0007754853524869734330259149085
absolute error = 1.4643335540332437108149567e-06
relative error = 0.00014632010056999081650712580158608 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2693.2MB, alloc=4.6MB, time=418.09
memory used=2697.0MB, alloc=4.6MB, time=418.39
NO POLE
NO POLE
t[1] = 0.5502
x1[1] (analytic) = 2.0010383019775219476397483668059
x1[1] (numeric) = 2.0010355479577747685737389922953
absolute error = 2.7540197471790660093745106e-06
relative error = 0.00013762953684881552300894234301875 %
h = 0.0001
x2[1] (analytic) = 1.0007741239157312595219527492083
x2[1] (numeric) = 1.0007755942948536501329497072707
absolute error = 1.4703791223906109969580624e-06
relative error = 0.0001469241747216100232077671756705 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2700.8MB, alloc=4.6MB, time=418.68
NO POLE
NO POLE
t[1] = 0.5503
x1[1] (analytic) = 2.0010381981525155322865907148926
x1[1] (numeric) = 2.0010354331473713892100023781546
absolute error = 2.7650051441430765883367380e-06
relative error = 0.00013817852886046370562784336253862 %
h = 0.0001
x2[1] (analytic) = 1.0007742268383030256778162721505
x2[1] (numeric) = 1.0007757032762319401008249335262
absolute error = 1.4764379289144230086613757e-06
relative error = 0.00014752957153771445615658740556539 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2704.6MB, alloc=4.6MB, time=418.98
memory used=2708.4MB, alloc=4.6MB, time=419.27
NO POLE
NO POLE
t[1] = 0.5504
x1[1] (analytic) = 2.0010380943378910984672400371191
x1[1] (numeric) = 2.001035318325470329978088026164
absolute error = 2.7760124207684891520109551e-06
relative error = 0.00013872861434389751868042041627323 %
h = 0.0001
x2[1] (analytic) = 1.0007743297866528746848242778094
x2[1] (numeric) = 1.0007758122966313677298389607452
absolute error = 1.4825099784930450146829358e-06
relative error = 0.00014813629150630687481364058745128 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2712.3MB, alloc=4.6MB, time=419.60
NO POLE
NO POLE
t[1] = 0.5505
x1[1] (analytic) = 2.00103799053364760803545113017
x1[1] (numeric) = 2.0010352034920704439849611187836
absolute error = 2.7870415771640504900113864e-06
relative error = 0.00013927979330471318061103198243545 %
h = 0.0001
x2[1] (analytic) = 1.0007744327607854435501087848135
x2[1] (numeric) = 1.0007759213560614594895666322392
absolute error = 1.4885952760159394578474257e-06
relative error = 0.00014874433511549925449967075903576 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2716.1MB, alloc=4.6MB, time=419.91
NO POLE
NO POLE
t[1] = 0.5506
x1[1] (analytic) = 2.001037886739784022948788224692
x1[1] (numeric) = 2.0010350886471705842235311515525
absolute error = 2.7980926134387252570731395e-06
relative error = 0.00013983206574851776573041657009034 %
h = 0.0001
x2[1] (analytic) = 1.0007745357607053702602058924059
x2[1] (numeric) = 1.0007760304545317439264025475404
absolute error = 1.4946938263736661966551345e-06
relative error = 0.00014935370285351281029207964240607 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2719.9MB, alloc=4.6MB, time=420.20
memory used=2723.7MB, alloc=4.6MB, time=420.48
NO POLE
NO POLE
t[1] = 0.5507
x1[1] (analytic) = 2.0010377829562993052686146048696
x1[1] (numeric) = 2.0010349737907696035726406600605
absolute error = 2.8091655297016959739448091e-06
relative error = 0.00014038543168092920426835486554724 %
h = 0.0001
x2[1] (analytic) = 1.0007746387864172937812464901185
x2[1] (numeric) = 1.0007761395920517516639934305061
absolute error = 1.5008056344578827469403876e-06
relative error = 0.00014996439520867802092571500925214 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2727.5MB, alloc=4.6MB, time=420.77
NO POLE
NO POLE
t[1] = 0.5508
x1[1] (analytic) = 2.0010376791831924171600822290388
x1[1] (numeric) = 2.0010348589228663547970539458197
absolute error = 2.8202603260623630282832191e-06
relative error = 0.00014093989110757628242643712451625 %
h = 0.0001
x2[1] (analytic) = 1.0007747418379258540591470061114
x2[1] (numeric) = 1.0007762487686310154036705855673
absolute error = 1.5069307051613445235794559e-06
relative error = 0.00015057641266943465269848072128755 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2731.3MB, alloc=4.6MB, time=421.04
memory used=2735.1MB, alloc=4.6MB, time=421.31
NO POLE
NO POLE
t[1] = 0.5509
x1[1] (analytic) = 2.0010375754204623208921213513382
x1[1] (numeric) = 2.0010347440434596905474458010359
absolute error = 2.8313770026303446755503023e-06
relative error = 0.00014149544403409864243093578537861 %
h = 0.0001
x2[1] (analytic) = 1.0007748449152356920198001941841
x2[1] (numeric) = 1.0007763579842790699248824421385
absolute error = 1.5130690433779050822479544e-06
relative error = 0.00015118975572433178338176942872577 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2739.0MB, alloc=4.6MB, time=421.59
NO POLE
NO POLE
t[1] = 0.551
x1[1] (analytic) = 2.001037471668107978837430144399
x1[1] (numeric) = 2.0010346291525484633603902322795
absolute error = 2.8425155595154770399121195e-06
relative error = 0.00014205209046614678258578339386037 %
h = 0.0001
x2[1] (analytic) = 1.0007749480183514495692659594676
x2[1] (numeric) = 1.0007764672390054520856271872061
absolute error = 1.5192206540025163612277385e-06
relative error = 0.0001518044248620278261357186998066 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2742.8MB, alloc=4.6MB, time=421.87
NO POLE
NO POLE
memory used=2746.6MB, alloc=4.6MB, time=422.15
t[1] = 0.5511
x1[1] (analytic) = 2.0010373679261283534724643230711
x1[1] (numeric) = 2.0010345142501315256583491830557
absolute error = 2.8536759968278141151400154e-06
relative error = 0.00014260983040938205732565570951359 %
h = 0.0001
x2[1] (analytic) = 1.0007750511472777695939622228033
x2[1] (numeric) = 1.000776576532819700822885486114
absolute error = 1.5253855419312289232633107e-06
relative error = 0.00015242042057129055342929179400279 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2750.4MB, alloc=4.6MB, time=422.43
NO POLE
NO POLE
t[1] = 0.5512
x1[1] (analytic) = 2.0010372641945224073774267691886
x1[1] (numeric) = 2.0010343993362077297496612552741
absolute error = 2.8648583146776277655139145e-06
relative error = 0.00014316866386947667726916015425784 %
h = 0.0001
x2[1] (analytic) = 1.0007751543020192959608558238187
x2[1] (numeric) = 1.0007766858657313571530532915639
absolute error = 1.5315637120611921974677452e-06
relative error = 0.00015303774334099712096518377191426 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2754.2MB, alloc=4.6MB, time=422.71
NO POLE
NO POLE
t[1] = 0.5513
x1[1] (analytic) = 2.0010371604732891032362571573708
x1[1] (numeric) = 2.0010342844107759278285304296178
absolute error = 2.8760625131754077267277530e-06
relative error = 0.00014372859085211370927212940342245 %
h = 0.0001
x2[1] (analytic) = 1.0007752574825806735176534627056
x2[1] (numeric) = 1.000776795237749964172374740848
absolute error = 1.5377551692906547212781424e-06
relative error = 0.00015365639366013409160955408448492 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2758.0MB, alloc=4.6MB, time=422.98
memory used=2761.8MB, alloc=4.6MB, time=423.26
NO POLE
NO POLE
t[1] = 0.5514
x1[1] (analytic) = 2.0010370567624274038366215818626
x1[1] (numeric) = 2.0010341694738349719750147848115
absolute error = 2.8872885924318616067970511e-06
relative error = 0.00014428961136298707648102033951098 %
h = 0.0001
x2[1] (analytic) = 1.0007753606889665480929926807087
x2[1] (numeric) = 1.0007769046488850670573751413319
absolute error = 1.5439599185189643824606232e-06
relative error = 0.00015427637201779745932658657431438 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2765.7MB, alloc=4.6MB, time=423.53
NO POLE
NO POLE
t[1] = 0.5515
x1[1] (analytic) = 2.0010369530619362720699021844104
x1[1] (numeric) = 2.0010340545253837141550152157884
absolute error = 2.8985365525579148869686220e-06
relative error = 0.00014485172540780155838641818412043 %
h = 0.0001
x2[1] (analytic) = 1.0007754639211815664966328793343
x2[1] (numeric) = 1.0007770140991462130652940442057
absolute error = 1.5501779646465686611648714e-06
relative error = 0.0001548976789031926731178776619363 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2769.5MB, alloc=4.6MB, time=423.81
memory used=2773.3MB, alloc=4.6MB, time=424.09
NO POLE
NO POLE
t[1] = 0.5516
x1[1] (analytic) = 2.0010368493718146709311867831762
x1[1] (numeric) = 2.0010339395654210062202641507565
absolute error = 2.9098063936647109226324197e-06
relative error = 0.0001454149329922727908766459132964 %
h = 0.0001
x2[1] (analytic) = 1.0007755671792303765196463782839
x2[1] (numeric) = 1.0007771235885429515345184065209
absolute error = 1.5564093125750148720282370e-06
relative error = 0.00015552031480563466096665393956205 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2777.1MB, alloc=4.6MB, time=424.36
NO POLE
NO POLE
t[1] = 0.5517
x1[1] (analytic) = 2.0010367456920615635192585026885
x1[1] (numeric) = 2.0010338245939456999083142671634
absolute error = 2.9210981158636109442355251e-06
relative error = 0.00014597923412212726629147893167326 %
h = 0.0001
x2[1] (analytic) = 1.0007756704631176269346095121223
x2[1] (numeric) = 1.000777233117084833885015841531
absolute error = 1.5626539672069504063294087e-06
relative error = 0.00015614428021454785378681994511202 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2780.9MB, alloc=4.6MB, time=424.64
NO POLE
NO POLE
t[1] = 0.5518
x1[1] (analytic) = 2.0010366420226759130365854048302
x1[1] (numeric) = 2.0010337096109566468425272065599
absolute error = 2.9324117192661940581982703e-06
relative error = 0.00014654462880310233347596500073763 %
h = 0.0001
x2[1] (analytic) = 1.0007757737728479674957937656875
x2[1] (numeric) = 1.0007773426847814136187679573539
absolute error = 1.5689119334461229741916664e-06
relative error = 0.00015676957561946620937683713913837 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2784.7MB, alloc=4.6MB, time=424.92
memory used=2788.5MB, alloc=4.6MB, time=425.20
NO POLE
NO POLE
t[1] = 0.5519
x1[1] (analytic) = 2.0010365383636566827893101208629
x1[1] (numeric) = 2.0010335946164526985320622883624
absolute error = 2.9437472039842572478325005e-06
relative error = 0.00014711111704094619783434939156677 %
h = 0.0001
x2[1] (analytic) = 1.0007758771084260489393569482498
x2[1] (numeric) = 1.0007774522916422463202037839733
absolute error = 1.5751832161973808468357235e-06
relative error = 0.00015739620151003323637843500729611 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2792.4MB, alloc=4.6MB, time=425.49
NO POLE
NO POLE
t[1] = 0.552
x1[1] (analytic) = 2.0010364347150028361872394844887
x1[1] (numeric) = 2.0010334796104327063718652225135
absolute error = 2.9551045701298153742619752e-06
relative error = 0.00014767869884141792138410534733328 %
h = 0.0001
x2[1] (analytic) = 1.0007759804698565229835344064281
x2[1] (numeric) = 1.0007775619376768896566332885975
absolute error = 1.5814678203666730988821694e-06
relative error = 0.00015802415837600201824015527094791 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2796.2MB, alloc=4.6MB, time=425.77
memory used=2800.0MB, alloc=4.6MB, time=426.05
NO POLE
NO POLE
t[1] = 0.5521
x1[1] (analytic) = 2.0010363310767133367438341659481
x1[1] (numeric) = 2.0010333645928955216426568210414
absolute error = 2.9664838178151011773449067e-06
relative error = 0.00014824737421028742281006975596371 %
h = 0.0001
x2[1] (analytic) = 1.0007760838571440423288302758711
x2[1] (numeric) = 1.0007776716228949033786809793934
absolute error = 1.5877657508610498507035223e-06
relative error = 0.00015865344670723523718573015848656 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2803.8MB, alloc=4.6MB, time=426.32
NO POLE
NO POLE
t[1] = 0.5522
x1[1] (analytic) = 2.0010362274487871480761983071547
x1[1] (numeric) = 2.0010332495638399955109217085173
absolute error = 2.9778849471525652765986374e-06
relative error = 0.00014881714315333547751868410824793 %
h = 0.0001
x2[1] (analytic) = 1.0007761872702932606582087717102
x2[1] (numeric) = 1.0007777813473058493207195976127
absolute error = 1.5940770125886625108259025e-06
relative error = 0.00015928406699370519818729569992664 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2807.6MB, alloc=4.6MB, time=426.61
NO POLE
NO POLE
t[1] = 0.5523
x1[1] (analytic) = 2.0010361238312232339050691578661
x1[1] (numeric) = 2.0010331345232649790288970314111
absolute error = 2.9893079582548761721264550e-06
relative error = 0.00014938800567635371769234069675783 %
h = 0.0001
x2[1] (analytic) = 1.0007762907093088326372855177937
x2[1] (numeric) = 1.0007778911109192914013038981299
absolute error = 1.6004016104587640183803362e-06
relative error = 0.0001599160197254938529434409873072 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2811.4MB, alloc=4.6MB, time=426.88
memory used=2815.3MB, alloc=4.6MB, time=427.16
NO POLE
NO POLE
t[1] = 0.5524
x1[1] (analytic) = 2.0010360202240205580548067128912
x1[1] (numeric) = 2.0010330194711693231345611663452
absolute error = 3.0007528512349202455465460e-06
relative error = 0.00014995996178514463234383407590079 %
h = 0.0001
x2[1] (analytic) = 1.0007763941741954139145189147085
x2[1] (numeric) = 1.0007780009137447956236045184076
absolute error = 1.6067395493817090856036991e-06
relative error = 0.00016054930539279282386209427347752 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2819.1MB, alloc=4.6MB, time=427.43
NO POLE
NO POLE
t[1] = 0.5525
x1[1] (analytic) = 2.0010359166271780844533833503341
x1[1] (numeric) = 2.0010329044075518786516224272466
absolute error = 3.0122196262058017609230875e-06
relative error = 0.00015053301148552156737091778344295 %
h = 0.0001
x2[1] (analytic) = 1.0007764976649576611214015465968
x2[1] (numeric) = 1.0007781107557919300758419359091
absolute error = 1.6130908342689544403893123e-06
relative error = 0.0001611839244859034280482471015644 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2822.9MB, alloc=4.6MB, time=427.70
memory used=2826.7MB, alloc=4.6MB, time=427.98
NO POLE
NO POLE
t[1] = 0.5526
x1[1] (analytic) = 2.0010358130406947771323734708736
x1[1] (numeric) = 2.0010327893324114962895077713962
absolute error = 3.0237082832808428656994774e-06
relative error = 0.00015110715478330872561096632883532 %
h = 0.0001
x2[1] (analytic) = 1.0007766011816002318726516267769
x2[1] (numeric) = 1.000778220637070264931720513975
absolute error = 1.6194554700330590688871981e-06
relative error = 0.00016181987749523670129651716777481 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2830.5MB, alloc=4.6MB, time=428.25
NO POLE
NO POLE
t[1] = 0.5527
x1[1] (analytic) = 2.0010357094645696002269431380787
x1[1] (numeric) = 2.0010326742457470266433515043767
absolute error = 3.0352188225735835916337020e-06
relative error = 0.00015168239168434116689574239870378 %
h = 0.0001
x2[1] (analytic) = 1.0007767047241277847664044821746
x2[1] (numeric) = 1.0007783305575893724508626361817
absolute error = 1.6258334615876844581540071e-06
relative error = 0.00016245716491131342208855099986835 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2834.3MB, alloc=4.6MB, time=428.53
NO POLE
NO POLE
t[1] = 0.5528
x1[1] (analytic) = 2.001035605898801517975839719761
x1[1] (numeric) = 2.0010325591475573201939839839176
absolute error = 3.0467512441977818557358434e-06
relative error = 0.0001522587221944648081062693997759 %
h = 0.0001
x2[1] (analytic) = 1.0007768082925449793844040765734
x2[1] (numeric) = 1.0007784405173588269792429292
absolute error = 1.6322248138475948388526266e-06
relative error = 0.0001630957872247641355952673937176 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2838.1MB, alloc=4.6MB, time=428.80
memory used=2842.0MB, alloc=4.6MB, time=429.08
NO POLE
NO POLE
t[1] = 0.5529
x1[1] (analytic) = 2.0010355023433894947213815303611
x1[1] (numeric) = 2.0010324440378412273079203226378
absolute error = 3.0583055482674134612077233e-06
relative error = 0.00015283614631953642322780916966797 %
h = 0.0001
x2[1] (analytic) = 1.0007769118868564762921945726914
x2[1] (numeric) = 1.0007785505163882049496225741716
absolute error = 1.6386295317286574280014802e-06
relative error = 0.00016373574492632917768394254035721 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2845.8MB, alloc=4.6MB, time=429.35
NO POLE
NO POLE
t[1] = 0.553
x1[1] (analytic) = 2.0010353987983324949094474743729
x1[1] (numeric) = 2.0010323289165975982373490896864
absolute error = 3.0698817348966720983846865e-06
relative error = 0.00015341466406542364340494502078163 %
h = 0.0001
x2[1] (analytic) = 1.0007770155070669370393119330918
x2[1] (numeric) = 1.0007786605546870848819837066211
absolute error = 1.6450476201478426717735293e-06
relative error = 0.00016437703850685869893013785583603 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2849.6MB, alloc=4.6MB, time=429.64
memory used=2853.4MB, alloc=4.6MB, time=429.92
NO POLE
NO POLE
t[1] = 0.5531
x1[1] (analytic) = 2.0010352952636294830894666908015
x1[1] (numeric) = 2.0010322137838252831201210112797
absolute error = 3.0814798041999693456795218e-06
relative error = 0.00015399427543800495699677000270487 %
h = 0.0001
x2[1] (analytic) = 1.0007771191531810241594755599357
x2[1] (numeric) = 1.0007787706322650473839639049217
absolute error = 1.6514790840232244883449860e-06
relative error = 0.00016501966845731268863447140625439 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2857.2MB, alloc=4.6MB, time=430.19
NO POLE
NO POLE
t[1] = 0.5532
x1[1] (analytic) = 2.0010351917392794239144081986579
x1[1] (numeric) = 2.0010320986395231319797376701364
absolute error = 3.0930997562919346705285215e-06
relative error = 0.00015457498044316970963218044342101 %
h = 0.0001
x2[1] (analytic) = 1.0007772228252034011707799735844
x2[1] (numeric) = 1.0007788807491316751512907673323
absolute error = 1.6579239282739805107937479e-06
relative error = 0.00016566363526876099884423392026651 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2861.0MB, alloc=4.6MB, time=430.47
NO POLE
NO POLE
memory used=2864.8MB, alloc=4.6MB, time=430.76
t[1] = 0.5533
x1[1] (analytic) = 2.0010350882252812821407705434885
x1[1] (numeric) = 2.0010319834836899947253402038097
absolute error = 3.1047415912874154303396788e-06
relative error = 0.00015515677908681810426527473467888 %
h = 0.0001
x2[1] (analytic) = 1.0007773265231387325758865300591
x2[1] (numeric) = 1.0007789909052965529682165776237
absolute error = 1.6643821578203923300475646e-06
relative error = 0.00016630893943238336837985031135723 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2868.7MB, alloc=4.6MB, time=431.03
NO POLE
NO POLE
t[1] = 0.5534
x1[1] (analytic) = 2.0010349847216340226285714449404
x1[1] (numeric) = 2.0010318683163247211516980019163
absolute error = 3.1164053093014768734430241e-06
relative error = 0.00015573967137486120123085741183293 %
h = 0.0001
x2[1] (analytic) = 1.0007774302469916838622151773651
x2[1] (numeric) = 1.0007791011007692677079530593122
absolute error = 1.6708537775838457378819471e-06
relative error = 0.00016695558143946944686618777206888 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2872.5MB, alloc=4.6MB, time=431.30
NO POLE
NO POLE
t[1] = 0.5535
x1[1] (analytic) = 2.0010348812283366103413374453612
x1[1] (numeric) = 2.0010317531374261609391974022624
absolute error = 3.1280909104494021400430988e-06
relative error = 0.00015632365731322091830004845852433 %
h = 0.0001
x2[1] (analytic) = 1.0007775339967669215021362506898
x2[1] (numeric) = 1.0007792113355594083331062185184
absolute error = 1.6773387924868309699678286e-06
relative error = 0.00016760356178141881876871123253851 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2876.3MB, alloc=4.6MB, time=431.58
memory used=2880.1MB, alloc=4.6MB, time=431.86
NO POLE
NO POLE
t[1] = 0.5536
x1[1] (analytic) = 2.0010347777453880103460935594344
x1[1] (numeric) = 2.0010316379469931636538303858668
absolute error = 3.1397983948466922631735676e-06
relative error = 0.00015690873690783003073599788651183 %
h = 0.0001
x2[1] (analytic) = 1.0007776377724691129531623064799
x2[1] (numeric) = 1.0007793216096765658961112754684
absolute error = 1.6838372074529429489689885e-06
relative error = 0.00016825288094974102743448730542504 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2883.9MB, alloc=4.6MB, time=432.13
NO POLE
NO POLE
t[1] = 0.5537
x1[1] (analytic) = 2.0010346742727871878133529248496
x1[1] (numeric) = 2.0010315227450245787471832708803
absolute error = 3.1515277626090661696539693e-06
relative error = 0.00015749491016463217134970559098692 %
h = 0.0001
x2[1] (analytic) = 1.0007777415741029266581399954077
x2[1] (numeric) = 1.0007794319231303335396676846563
absolute error = 1.6903490274068815276892486e-06
relative error = 0.00016890353943605559913803755949782 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2887.7MB, alloc=4.6MB, time=432.40
NO POLE
NO POLE
memory used=2891.5MB, alloc=4.6MB, time=432.68
t[1] = 0.5538
x1[1] (analytic) = 2.0010345708105331080171064540077
x1[1] (numeric) = 2.0010314075315192555564254054022
absolute error = 3.1632790138524606810486055e-06
relative error = 0.00015808217708958183055594645172339 %
h = 0.0001
x2[1] (analytic) = 1.000777845401673032045441974233
x2[1] (numeric) = 1.0007795422759303064971742436853
absolute error = 1.6968742572744517322694523e-06
relative error = 0.00016955553773209206713204214399375 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2895.4MB, alloc=4.6MB, time=432.95
NO POLE
NO POLE
t[1] = 0.5539
x1[1] (analytic) = 2.001034467358624736334812486761
x1[1] (numeric) = 2.0010312923064760433042978591929
absolute error = 3.1750521486930305146275681e-06
relative error = 0.00015867053768864435642930072537247 %
h = 0.0001
x2[1] (analytic) = 1.000777949255184099529158856569
x2[1] (numeric) = 1.0007796526680860820931642908054
absolute error = 1.7034129019825640054342364e-06
relative error = 0.00017020887632968999570289466591827 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2899.2MB, alloc=4.6MB, time=433.23
NO POLE
NO POLE
t[1] = 0.554
x1[1] (analytic) = 2.001034363917061038247386444187
x1[1] (numeric) = 2.0010311770698937910991021142833
absolute error = 3.1868471672471482843299037e-06
relative error = 0.00015925999196779595476028963428709 %
h = 0.0001
x2[1] (analytic) = 1.0007780531346408005092912025585
x2[1] (numeric) = 1.0007797630996072597437409911658
absolute error = 1.7099649664592344497886073e-06
relative error = 0.00017086355572079900423110944226977 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2903.0MB, alloc=4.6MB, time=433.50
memory used=2906.8MB, alloc=4.6MB, time=433.78
NO POLE
NO POLE
t[1] = 0.5541
x1[1] (analytic) = 2.0010342604858409793391904833987
x1[1] (numeric) = 2.0010310618217713479346887544804
absolute error = 3.1986640696314045017289183e-06
relative error = 0.00015985053993302368911161632212154 %
h = 0.0001
x2[1] (analytic) = 1.000778157040047807371941547471
x2[1] (numeric) = 1.0007798735705034409570127117992
absolute error = 1.7165304556335850711643282e-06
relative error = 0.0001715195763974787912565817295454 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2910.6MB, alloc=4.6MB, time=434.05
NO POLE
NO POLE
t[1] = 0.5542
x1[1] (analytic) = 2.0010341570649635252980231533872
x1[1] (numeric) = 2.001030946562107562690446153769
absolute error = 3.2105028559626075769996182e-06
relative error = 0.00016044218159032548087451197164707 %
h = 0.0001
x2[1] (analytic) = 1.0007782609714097934895064692246
x2[1] (numeric) = 1.0007799840807842293335284853572
absolute error = 1.7231093744358440220161326e-06
relative error = 0.00017217693885189915854870240218651 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2914.4MB, alloc=4.6MB, time=434.32
memory used=2918.3MB, alloc=4.6MB, time=434.60
NO POLE
NO POLE
t[1] = 0.5543
x1[1] (analytic) = 2.0010340536544276419151090519001
x1[1] (numeric) = 2.0010308312909012841312891636095
absolute error = 3.2223635263577838198882906e-06
relative error = 0.00016103491694571010932518726002684 %
h = 0.0001
x2[1] (analytic) = 1.0007783649287314332208686948445
x2[1] (numeric) = 1.0007800946304592305667135626132
absolute error = 1.7297017277973458448677687e-06
relative error = 0.00017283564357634003518132748242693 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2922.1MB, alloc=4.6MB, time=434.88
NO POLE
NO POLE
t[1] = 0.5544
x1[1] (analytic) = 2.0010339502542322950850884833539
x1[1] (numeric) = 2.001030716008151360907647799132
absolute error = 3.2342460809341774406842219e-06
relative error = 0.00016162874600519721168138905193621 %
h = 0.0001
x2[1] (analytic) = 1.0007784689120174019115892458621
x2[1] (numeric) = 1.0007802052195380524433050537522
absolute error = 1.7363075206505317158078901e-06
relative error = 0.00017349569106319150161260400314425 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2925.9MB, alloc=4.6MB, time=435.15
NO POLE
NO POLE
t[1] = 0.5545
x1[1] (analytic) = 2.00103384686437645080600711778
x1[1] (numeric) = 2.0010306007138566415554559242259
absolute error = 3.2461505198092505511935541e-06
relative error = 0.00016222366877481728315906235085213 %
h = 0.0001
x2[1] (analytic) = 1.0007785729212723758940996226652
x2[1] (numeric) = 1.0007803158480303048437876584639
absolute error = 1.7429267579289496880357987e-06
relative error = 0.00017415708180495381376965273602685 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2929.7MB, alloc=4.6MB, time=435.42
memory used=2933.5MB, alloc=4.6MB, time=435.70
NO POLE
NO POLE
t[1] = 0.5546
x1[1] (analytic) = 2.0010337434848590751793056508056
x1[1] (numeric) = 2.0010304854080159744961399355257
absolute error = 3.2580768431006831657152799e-06
relative error = 0.00016281968526061167702911753882995 %
h = 0.0001
x2[1] (analytic) = 1.0007786769565010324878940278057
x2[1] (numeric) = 1.0007804265159455997428294848584
absolute error = 1.7495594445672549354570527e-06
relative error = 0.00017481981629423742713810901680056 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2937.3MB, alloc=4.6MB, time=435.97
NO POLE
NO POLE
t[1] = 0.5547
x1[1] (analytic) = 2.0010336401156791344098094646675
x1[1] (numeric) = 2.0010303700906282080366074452922
absolute error = 3.2700250509263732020193753e-06
relative error = 0.0001634167954686326046743028451328 %
h = 0.0001
x2[1] (analytic) = 1.0007787810177080499997216282725
x2[1] (numeric) = 1.0007805372232935512097179572216
absolute error = 1.7562055855012099963289491e-06
relative error = 0.0001754838950237630208565225495059 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2941.1MB, alloc=4.6MB, time=436.24
memory used=2945.0MB, alloc=4.6MB, time=436.54
NO POLE
NO POLE
t[1] = 0.5548
x1[1] (analytic) = 2.0010335367568355948057182902611
x1[1] (numeric) = 2.0010302547616921903692359631894
absolute error = 3.2819951434044364823270717e-06
relative error = 0.00016401499940494313564618214399545 %
h = 0.0001
x2[1] (analytic) = 1.0007788851048981077237788567387
x2[1] (numeric) = 1.0007806479700837754087958126286
absolute error = 1.7628651856676850169558899e-06
relative error = 0.00017614931848636152181561705180715 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2948.8MB, alloc=4.6MB, time=436.81
NO POLE
NO POLE
t[1] = 0.5549
x1[1] (analytic) = 2.0010334334083274227785958702218
x1[1] (numeric) = 2.0010301394212067695718615769568
absolute error = 3.2939871206532067342932650e-06
relative error = 0.0001646142970756171977222179569214 %
h = 0.0001
x2[1] (analytic) = 1.000778989218075885941901751788
x2[1] (numeric) = 1.0007807587563258905998971864325
absolute error = 1.7695382500046579954346445e-06
relative error = 0.00017681608717497412876241093303331 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2952.6MB, alloc=4.6MB, time=437.08
NO POLE
NO POLE
t[1] = 0.555
x1[1] (analytic) = 2.0010333300701535848433596230406
x1[1] (numeric) = 2.0010300240691707936077676319772
absolute error = 3.3060009827912355919910634e-06
relative error = 0.00016521468848673957696295974480268 %
h = 0.0001
x2[1] (analytic) = 1.000779093357246065923758337132
x2[1] (numeric) = 1.0007808695820295171387837866475
absolute error = 1.7762247834512150254495155e-06
relative error = 0.00017748420158265233640919966703737 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2956.4MB, alloc=4.6MB, time=437.36
memory used=2960.2MB, alloc=4.6MB, time=437.64
NO POLE
NO POLE
t[1] = 0.5551
x1[1] (analytic) = 2.0010332267423130476182703082139
x1[1] (numeric) = 2.0010299087055831103256734097399
absolute error = 3.3180367299372925968984740e-06
relative error = 0.00016581617364440591776933749519351 %
h = 0.0001
x2[1] (analytic) = 1.0007791975224133299270410398226
x2[1] (numeric) = 1.0007809804472042774775811572432
absolute error = 1.7829247909475505401174206e-06
relative error = 0.00017815366220255795954740107150822 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2964.0MB, alloc=4.6MB, time=437.92
NO POLE
NO POLE
t[1] = 0.5552
x1[1] (analytic) = 2.0010331234248047778249216924253
x1[1] (numeric) = 2.0010297933304425674597228051985
absolute error = 3.3300943622103651988872268e-06
relative error = 0.00016641875255472272294006053510783 %
h = 0.0001
x2[1] (analytic) = 1.0007793017135823611976591474687
x2[1] (numeric) = 1.0007810913518597961652150303686
absolute error = 1.7896382774349675558828999e-06
relative error = 0.00017882446952796315716626436560846 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2967.8MB, alloc=4.6MB, time=438.19
memory used=2971.7MB, alloc=4.6MB, time=438.48
NO POLE
NO POLE
t[1] = 0.5553
x1[1] (analytic) = 2.0010330201176277422882302167622
x1[1] (numeric) = 2.0010296779437480126294730030245
absolute error = 3.3421738797296587572137377e-06
relative error = 0.00016702242522380735372912164963247 %
h = 0.0001
x2[1] (analytic) = 1.0007794059307578439699313044659
x2[1] (numeric) = 1.0007812022960056998478477675241
absolute error = 1.7963652478558779164630582e-06
relative error = 0.00017949662405225045657644390776299 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2975.5MB, alloc=4.6MB, time=438.76
NO POLE
NO POLE
t[1] = 0.5554
x1[1] (analytic) = 2.0010329168207809079364246649645
x1[1] (numeric) = 2.0010295625454982933398831527553
absolute error = 3.3542752826145965415122092e-06
relative error = 0.00016762719165778802990340644172345 %
h = 0.0001
x2[1] (analytic) = 1.0007795101739444634667780472448
x2[1] (numeric) = 1.0007813132796516172693148896982
absolute error = 1.8031057071538025368424534e-06
relative error = 0.00018017012626891277753843866528161 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2979.3MB, alloc=4.6MB, time=439.03
NO POLE
NO POLE
memory used=2983.1MB, alloc=4.6MB, time=439.31
t[1] = 0.5555
x1[1] (analytic) = 2.0010328135342632418010358327071
x1[1] (numeric) = 2.0010294471356922569813030428375
absolute error = 3.3663985709848197327898696e-06
relative error = 0.00016823305186280382980040797349776 %
h = 0.0001
x2[1] (analytic) = 1.0007796144431469058999143785474
x2[1] (numeric) = 1.0007814243028071792715616964885
absolute error = 1.8098596602733716473179411e-06
relative error = 0.00018084497667155345639589836755138 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2986.9MB, alloc=4.6MB, time=439.59
NO POLE
NO POLE
t[1] = 0.5556
x1[1] (analytic) = 2.0010327102580737110168861979151
x1[1] (numeric) = 2.0010293317143287508294617735643
absolute error = 3.3785437449601874244243508e-06
relative error = 0.00016884000584500469038604669435163 %
h = 0.0001
x2[1] (analytic) = 1.0007797187383698584700423807391
x2[1] (numeric) = 1.0007815353654820187950799742235
absolute error = 1.8166271121603250375934844e-06
relative error = 0.00018152117575388627021379718459499 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2990.7MB, alloc=4.6MB, time=439.86
NO POLE
NO POLE
t[1] = 0.5557
x1[1] (analytic) = 2.0010326069922112828220795921121
x1[1] (numeric) = 2.0010292162814066220454564289085
absolute error = 3.3907108046607766231632036e-06
relative error = 0.00016944805361055140731259560126684 %
h = 0.0001
x2[1] (analytic) = 1.0007798230596180093670438681625
x2[1] (numeric) = 1.0007816464676857708793447931041
absolute error = 1.8234080677615123009249416e-06
relative error = 0.0001821987240097354609214761424785 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=2994.5MB, alloc=4.6MB, time=440.14
memory used=2998.4MB, alloc=4.6MB, time=440.43
NO POLE
NO POLE
t[1] = 0.5558
x1[1] (analytic) = 2.0010325037366749245579908728012
x1[1] (numeric) = 2.001029100836924717675740747249
absolute error = 3.4028997502068822501255522e-06
relative error = 0.00017005719516561563497671071659436 %
h = 0.0001
x2[1] (analytic) = 1.0007799274068960477701730785439
x2[1] (numeric) = 1.0007817576094280726632513933824
absolute error = 1.8302025320248930783148385e-06
relative error = 0.00018287762193303575946055488749317 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3002.2MB, alloc=4.6MB, time=440.70
NO POLE
NO POLE
t[1] = 0.5559
x1[1] (analytic) = 2.0010324004914636036692555968788
x1[1] (numeric) = 2.0010289853808818846521137909926
absolute error = 3.4151105817190171418058862e-06
relative error = 0.00017066743051637988657756679869244 %
h = 0.0001
x2[1] (analytic) = 1.0007800317802086638482494034562
x2[1] (numeric) = 1.0007818687907185633855521605957
absolute error = 1.8370105098995373027571395e-06
relative error = 0.00018355787001783240993771416042784 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3006.0MB, alloc=4.6MB, time=440.97
NO POLE
NO POLE
memory used=3009.8MB, alloc=4.6MB, time=441.25
t[1] = 0.556
x1[1] (analytic) = 2.0010322972565762877037596950806
x1[1] (numeric) = 2.0010288699132769697917086150895
absolute error = 3.4273432993179120510799911e-06
relative error = 0.00017127875966903753417509833572629 %
h = 0.0001
x2[1] (analytic) = 1.0007801361795605487598501578497
x2[1] (numeric) = 1.0007819800115668843852936898741
absolute error = 1.8438320063356254435320244e-06
relative error = 0.0001842394687582811937823496127907 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3013.6MB, alloc=4.6MB, time=441.52
NO POLE
NO POLE
t[1] = 0.5561
x1[1] (analytic) = 2.001032194032011944312629147461
x1[1] (numeric) = 2.0010287544341088197969809344434
absolute error = 3.4395979031245156482130176e-06
relative error = 0.00017189118262979280874834583795463 %
h = 0.0001
x2[1] (analytic) = 1.0007802406049563946535033886565
x2[1] (numeric) = 1.0007820912719826791022539393389
absolute error = 1.8506670262844487505506824e-06
relative error = 0.00018492241864864845390909805645646 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3017.4MB, alloc=4.6MB, time=441.79
NO POLE
NO POLE
t[1] = 0.5562
x1[1] (analytic) = 2.001032090817769541250219659904
x1[1] (numeric) = 2.0010286389433762812556977902155
absolute error = 3.4518743932599945218696885e-06
relative error = 0.0001725046994048608002539073688671 %
h = 0.0001
x2[1] (analytic) = 1.0007803450564008946678807224761
x2[1] (numeric) = 1.0007822025719755930773794726107
absolute error = 1.8575155746984094987501346e-06
relative error = 0.00018560672018331111888523721820524 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3021.2MB, alloc=4.6MB, time=442.06
memory used=3025.1MB, alloc=4.6MB, time=442.35
NO POLE
NO POLE
t[1] = 0.5563
x1[1] (analytic) = 2.0010319876138480463741063416668
x1[1] (numeric) = 2.0010285234410782006409262150229
absolute error = 3.4641727698457331801266439e-06
relative error = 0.00017311931000046745768449535048718 %
h = 0.0001
x2[1] (analytic) = 1.0007804495338987429319902523517
x2[1] (numeric) = 1.0007823139115552739532227904443
absolute error = 1.8643776565310212325380926e-06
relative error = 0.00018629237385675672710295970088214 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3028.9MB, alloc=4.6MB, time=442.63
NO POLE
NO POLE
t[1] = 0.5564
x1[1] (analytic) = 2.0010318844202464276450733839556
x1[1] (numeric) = 2.0010284079272134243110218970302
absolute error = 3.4764930330033340514869254e-06
relative error = 0.00017373501442284958912759867815549 %
h = 0.0001
x2[1] (analytic) = 1.000780554037454634565369463643
x2[1] (numeric) = 1.0007824252907313714743797515094
absolute error = 1.8712532767369090102878664e-06
relative error = 0.00018697938016358345095652241244546 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3032.7MB, alloc=4.6MB, time=442.90
memory used=3036.5MB, alloc=4.6MB, time=443.18
NO POLE
NO POLE
t[1] = 0.5565
x1[1] (analytic) = 2.0010317812369636531271037395334
x1[1] (numeric) = 2.0010282924017807985096178429357
absolute error = 3.4888351828546174858965977e-06
relative error = 0.0001743518126782548618242500651674 %
h = 0.0001
x2[1] (analytic) = 1.0007806585670732656782781990046
x2[1] (numeric) = 1.0007825367095135374879270823338
absolute error = 1.8781424402718096488833292e-06
relative error = 0.00018766773959850012102427216458228 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3040.3MB, alloc=4.6MB, time=443.45
NO POLE
NO POLE
t[1] = 0.5566
x1[1] (analytic) = 2.0010316780639986909873688033597
x1[1] (numeric) = 2.0010281768647791693656130398507
absolute error = 3.5011992195216217557635090e-06
relative error = 0.00017496970477294180222789868756156 %
h = 0.0001
x2[1] (analytic) = 1.0007807631227593333718916624768
x2[1] (numeric) = 1.0007826481679114259438599764284
absolute error = 1.8850451520925719683139516e-06
relative error = 0.00018835745265632625025554863216329 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3044.1MB, alloc=4.6MB, time=443.73
NO POLE
NO POLE
t[1] = 0.5567
x1[1] (analytic) = 2.0010315749013505094962180942627
x1[1] (numeric) = 2.0010280613162073828931611160727
absolute error = 3.5135851431266030569781900e-06
relative error = 0.00017558869071317979606338811939705 %
h = 0.0001
x2[1] (analytic) = 1.0007808677045175357384934626979
x2[1] (numeric) = 1.0007827596659346928955297826111
absolute error = 1.8919614171571570363199132e-06
relative error = 0.00018904851983199205816246541513384 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3048.0MB, alloc=4.6MB, time=444.00
memory used=3051.8MB, alloc=4.6MB, time=444.29
NO POLE
NO POLE
t[1] = 0.5568
x1[1] (analytic) = 2.0010314717490180770271689376419
x1[1] (numeric) = 2.0010279457560642849916590007519
absolute error = 3.5259929537920355099368900e-06
relative error = 0.00017620877050524908838603948389039 %
h = 0.0001
x2[1] (analytic) = 1.0007809723123525718616686952438
x2[1] (numeric) = 1.0007828712035929965000817825479
absolute error = 1.8988912404246384130873041e-06
relative error = 0.00018974094162053849501657039406281 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3055.6MB, alloc=4.6MB, time=444.57
NO POLE
NO POLE
t[1] = 0.5569
x1[1] (analytic) = 2.0010313686070003620568961492042
x1[1] (numeric) = 2.0010278301843487214457355824513
absolute error = 3.5384226516406111605667529e-06
relative error = 0.00017682994415544078364083996067272 %
h = 0.0001
x2[1] (analytic) = 1.0007810769462691418164970641052
x2[1] (numeric) = 1.0007829827808959970188930575293
absolute error = 1.9058346268552023959934241e-06
relative error = 0.00019043471851711726605038610091115 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3059.4MB, alloc=4.6MB, time=444.84
memory used=3063.2MB, alloc=4.6MB, time=445.12
NO POLE
NO POLE
t[1] = 0.557
x1[1] (analytic) = 2.0010312654752963331652217197299
x1[1] (numeric) = 2.0010277146010595379252403666001
absolute error = 3.5508742367952399813531298e-06
relative error = 0.00017745221167005684572173648458457 %
h = 0.0001
x2[1] (analytic) = 1.0007811816062719466697460423075
x2[1] (numeric) = 1.0007830943978533568180104445
absolute error = 1.9127915814101482644021925e-06
relative error = 0.00019112985101699085566383133616002 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3067.0MB, alloc=4.6MB, time=445.39
NO POLE
NO POLE
t[1] = 0.5571
x1[1] (analytic) = 2.0010311623539049590351045008716
x1[1] (numeric) = 2.0010275990061955799852321318398
absolute error = 3.5633477093790498723690318e-06
relative error = 0.00017807557305541009803103481624771 %
h = 0.0001
x2[1] (analytic) = 1.0007812862923656884800640716832
x2[1] (numeric) = 1.0007832060544747403685885813597
absolute error = 1.9197621090518885245096765e-06
relative error = 0.00019182633961553255163552477379435 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3070.8MB, alloc=4.6MB, time=445.67
NO POLE
NO POLE
t[1] = 0.5572
x1[1] (analytic) = 2.001031059242825208452629891983
x1[1] (numeric) = 2.0010274833997556930659675852638
absolute error = 3.5758430695153866623067192e-06
relative error = 0.00017870002831782422353890379484453 %
h = 0.0001
x2[1] (analytic) = 1.0007813910045550702981738018039
x2[1] (numeric) = 1.000783317750769814247328041553
absolute error = 1.9267462147439491542397491e-06
relative error = 0.00019252418480822646933897158538677 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3074.7MB, alloc=4.6MB, time=445.94
memory used=3078.5MB, alloc=4.6MB, time=446.22
NO POLE
NO POLE
t[1] = 0.5573
x1[1] (analytic) = 2.0010309561420560503069995279805
x1[1] (numeric) = 2.0010273677817387224928900165502
absolute error = 3.5883603173278141095114303e-06
relative error = 0.00017932557746363376484298493335433 %
h = 0.0001
x2[1] (analytic) = 1.0007814957428447961670653680791
x2[1] (numeric) = 1.0007834294867482471369135579668
absolute error = 1.9337439034509698481898877e-06
relative error = 0.00019322338709066757596363414447795 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3082.3MB, alloc=4.6MB, time=446.50
NO POLE
NO POLE
t[1] = 0.5574
x1[1] (analytic) = 2.0010308530515964535905209682346
x1[1] (numeric) = 2.0010272521521435134766179509867
absolute error = 3.6008994529401139030172479e-06
relative error = 0.0001799522204991841242281072616279 %
h = 0.0001
x2[1] (analytic) = 1.0007816005072395711221897090305
x2[1] (numeric) = 1.0007835412624197098264523361531
absolute error = 1.9407551801387042626271226e-06
relative error = 0.00019392394695856171474088767258001 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3086.1MB, alloc=4.6MB, time=446.78
memory used=3089.9MB, alloc=4.6MB, time=447.06
NO POLE
NO POLE
t[1] = 0.5575
x1[1] (analytic) = 2.0010307499714453873985973864935
x1[1] (numeric) = 2.0010271365109689111129338013889
absolute error = 3.6134604764762856635851046e-06
relative error = 0.00018057995743083156372610747260398 %
h = 0.0001
x2[1] (analytic) = 1.0007817052977441011916519227494
x2[1] (numeric) = 1.0007836530777938752119124568947
absolute error = 1.9477800497740202605341453e-06
relative error = 0.00019462586490772562917486175804976 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3093.7MB, alloc=4.6MB, time=447.33
NO POLE
NO POLE
t[1] = 0.5576
x1[1] (analytic) = 2.0010306469016018209297172618366
x1[1] (numeric) = 2.0010270208582137603827725189109
absolute error = 3.6260433880605469447429257e-06
relative error = 0.00018120878826494320517575531203059 %
h = 0.0001
x2[1] (analytic) = 1.0007818101143630933964046625445
x2[1] (numeric) = 1.0007837649328804182965613681325
absolute error = 1.9548185173249001567055880e-06
relative error = 0.00019532914143408698727816882893638 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3097.5MB, alloc=4.6MB, time=447.60
NO POLE
NO POLE
t[1] = 0.5577
x1[1] (analytic) = 2.0010305438420647234854440706597
x1[1] (numeric) = 2.0010269051938769061522102427488
absolute error = 3.6386481878173332338279109e-06
relative error = 0.00018183871300789703028278427199216 %
h = 0.0001
x2[1] (analytic) = 1.0007819149571012557504415717878
x2[1] (numeric) = 1.0007838768276890161914044662724
absolute error = 1.9618705877604409628944846e-06
relative error = 0.00019603377703368440581252055096816 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3101.4MB, alloc=4.6MB, time=447.87
memory used=3105.2MB, alloc=4.6MB, time=448.15
NO POLE
NO POLE
t[1] = 0.5578
x1[1] (analytic) = 2.0010304407928330644704059796906
x1[1] (numeric) = 2.001026789517957193172452948736
absolute error = 3.6512748758712979530309546e-06
relative error = 0.00018246973166608188068002757857962 %
h = 0.0001
x2[1] (analytic) = 1.0007820198259632972609907579677
x2[1] (numeric) = 1.000783988762229348115623766889
absolute error = 1.9689362660508546330089213e-06
relative error = 0.00019673977220266747453423290198969 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3109.0MB, alloc=4.6MB, time=448.43
NO POLE
NO POLE
t[1] = 0.5579
x1[1] (analytic) = 2.0010303377539058133922855400354
x1[1] (numeric) = 2.0010266738304534660798250968317
absolute error = 3.6639234523473124604432037e-06
relative error = 0.00018310184424589745798765941906342 %
h = 0.0001
x2[1] (analytic) = 1.0007821247209539279287083059552
x2[1] (numeric) = 1.0007841007365110953970166648454
absolute error = 1.9760155571674683083588902e-06
relative error = 0.00019744712743729678044462120372164 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3112.8MB, alloc=4.6MB, time=448.70
memory used=3116.6MB, alloc=4.6MB, time=448.98
NO POLE
NO POLE
t[1] = 0.558
x1[1] (analytic) = 2.0010302347252819398618093822552
x1[1] (numeric) = 2.0010265581313645693957582775007
absolute error = 3.6765939173704660511047545e-06
relative error = 0.0001837350507537543238735414888602 %
h = 0.0001
x2[1] (analytic) = 1.0007822296420778587478718304928
x2[1] (numeric) = 1.0007842127505439414724347838461
absolute error = 1.9831084660827245629533533e-06
relative error = 0.00019815584323394393204528579215814 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3120.4MB, alloc=4.6MB, time=449.26
NO POLE
NO POLE
t[1] = 0.5581
x1[1] (analytic) = 2.0010301317069604135927379124732
x1[1] (numeric) = 2.0010264424206893475267798569862
absolute error = 3.6892862710660659580554870e-06
relative error = 0.00018436935119607390011367477366842 %
h = 0.0001
x2[1] (analytic) = 1.0007823345893398017065740679122
x2[1] (numeric) = 1.0007843248043375718882229154418
absolute error = 1.9902149977701816488475296e-06
relative error = 0.00019886592008909158359828953747794 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3124.2MB, alloc=4.6MB, time=449.54
NO POLE
NO POLE
memory used=3128.1MB, alloc=4.6MB, time=449.81
t[1] = 0.5582
x1[1] (analytic) = 2.0010300286989402044018550095129
x1[1] (numeric) = 2.001026326698426644764501621474
absolute error = 3.7020005135596373533880389e-06
relative error = 0.0001850047455792884686527566820453 %
h = 0.0001
x2[1] (analytic) = 1.0007824395627444697869165070901
x2[1] (numeric) = 1.0007844368979016743006580475032
absolute error = 1.9973351572045137415404131e-06
relative error = 0.00019957735849933345939122793470239 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3131.9MB, alloc=4.6MB, time=450.09
NO POLE
NO POLE
t[1] = 0.5583
x1[1] (analytic) = 2.0010299257012202822089577230651
x1[1] (numeric) = 2.0010262109645753052856084201486
absolute error = 3.7147366449769233493029165e-06
relative error = 0.00018564123390984117166484338882897 %
h = 0.0001
x2[1] (analytic) = 1.0007825445622965769652030596493
x2[1] (numeric) = 1.0007845490312459384763884821832
absolute error = 2.0044689493615111854225339e-06
relative error = 0.00020029015896137437800719292596421 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3135.7MB, alloc=4.6MB, time=450.38
NO POLE
NO POLE
t[1] = 0.5584
x1[1] (analytic) = 2.0010298227137996170368459728866
x1[1] (numeric) = 2.0010260952191341731518468071418
absolute error = 3.7274946654438849991657448e-06
relative error = 0.00018627881619418601161411750467767 %
h = 0.0001
x2[1] (analytic) = 1.0007826495880008382121337694116
x2[1] (numeric) = 1.0007846612043800562928730433844
absolute error = 2.0116163792180807392739728e-06
relative error = 0.00020100432197203027659963143536684 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3139.5MB, alloc=4.6MB, time=450.65
memory used=3143.3MB, alloc=4.6MB, time=450.93
NO POLE
NO POLE
t[1] = 0.5585
x1[1] (analytic) = 2.0010297197366771790113122490277
x1[1] (numeric) = 2.001025979462102092310013682372
absolute error = 3.7402745750867012985666557e-06
relative error = 0.00018691749243878785131576101708619 %
h = 0.0001
x2[1] (analytic) = 1.0007827546398619694929985611134
x2[1] (numeric) = 1.0007847734173137217388203737502
absolute error = 2.0187774517522458218126368e-06
relative error = 0.00020171984802822823517209929762184 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3147.1MB, alloc=4.6MB, time=451.21
NO POLE
NO POLE
t[1] = 0.5586
x1[1] (analytic) = 2.0010296167698519383611313130905
x1[1] (numeric) = 2.0010258636934779065919449312759
absolute error = 3.7530763740317691863818146e-06
relative error = 0.00018755726265012241399693351820272 %
h = 0.0001
x2[1] (analytic) = 1.0007828597178846877678710283886
x2[1] (numeric) = 1.0007848856700566309146283211983
absolute error = 2.0259521719431467572928097e-06
relative error = 0.00020243673762700650086291194109649 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3151.0MB, alloc=4.6MB, time=451.48
memory used=3154.8MB, alloc=4.6MB, time=451.76
NO POLE
NO POLE
t[1] = 0.5587
x1[1] (analytic) = 2.0010295138133228654180499005162
x1[1] (numeric) = 2.0010257479132604597145040634314
absolute error = 3.7659000624057035458370848e-06
relative error = 0.00018819812683467628335785568979325 %
h = 0.0001
x2[1] (analytic) = 1.0007829648220737109918022610282
x2[1] (numeric) = 1.0007849979626184820328234150137
absolute error = 2.0331405447710410211539855e-06
relative error = 0.00020315499126551451223469253638503 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3158.6MB, alloc=4.6MB, time=452.03
NO POLE
NO POLE
t[1] = 0.5588
x1[1] (analytic) = 2.0010294108670889306167764239029
x1[1] (numeric) = 2.0010256321214485952795708500717
absolute error = 3.7787456403353372055738312e-06
relative error = 0.00018884008499894690363299812064575 %
h = 0.0001
x2[1] (analytic) = 1.0007830699524337581150147115243
x2[1] (numeric) = 1.0007851102950089754185004315199
absolute error = 2.0403425752173034857199956e-06
relative error = 0.00020387460944101292356881865123439 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3162.4MB, alloc=4.6MB, time=452.30
NO POLE
NO POLE
t[1] = 0.5589
x1[1] (analytic) = 2.0010293079311491044949706773527
x1[1] (numeric) = 2.001025516318041156774029960491
absolute error = 3.7916131079477209407168617e-06
relative error = 0.00018948313714944257965237537678676 %
h = 0.0001
x2[1] (analytic) = 1.0007831751089695490830961009065
x2[1] (numeric) = 1.0007852226672378135097620493458
absolute error = 2.0475582682644266659484393e-06
relative error = 0.00020459559265087362916476830274648 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3166.2MB, alloc=4.6MB, time=452.57
memory used=3170.0MB, alloc=4.6MB, time=452.85
NO POLE
NO POLE
t[1] = 0.559
x1[1] (analytic) = 2.001029205005502357693233541848
x1[1] (numeric) = 2.0010254005030369875697595973413
absolute error = 3.8045024653701234739445067e-06
relative error = 0.00019012728329268247690294534483094 %
h = 0.0001
x2[1] (analytic) = 1.0007832802916858048371933638772
x2[1] (numeric) = 1.0007853350793147008581585943073
absolute error = 2.0547876288960209652304301e-06
relative error = 0.0002053179413925797876443665975195 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3173.8MB, alloc=4.6MB, time=453.13
NO POLE
NO POLE
t[1] = 0.5591
x1[1] (analytic) = 2.0010291020901476609550966916576
x1[1] (numeric) = 2.0010252846764349309236201308199
absolute error = 3.8174137127300314765608377e-06
relative error = 0.00019077252343519662159011389876908 %
h = 0.0001
x2[1] (analytic) = 1.0007833855005872473142066332555
x2[1] (numeric) = 1.0007854475312493441291278739207
absolute error = 2.0620306620968149212406652e-06
relative error = 0.00020604165616372584626093364076373 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3177.7MB, alloc=4.6MB, time=453.40
memory used=3181.5MB, alloc=4.6MB, time=453.67
NO POLE
NO POLE
t[1] = 0.5592
x1[1] (analytic) = 2.0010289991850839851270123017723
x1[1] (numeric) = 2.0010251688382338299774427317485
absolute error = 3.8303468501551495695700238e-06
relative error = 0.00019141885758352590069934483055612 %
h = 0.0001
x2[1] (analytic) = 1.0007834907356785994469832637361
x2[1] (numeric) = 1.0007855600230514521024351015669
absolute error = 2.0692873728526554518378308e-06
relative error = 0.00020676673746201756521333491499508 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3185.3MB, alloc=4.6MB, time=453.95
NO POLE
NO POLE
t[1] = 0.5593
x1[1] (analytic) = 2.001028896290310301158342756369
x1[1] (numeric) = 2.0010250529884325277580180035425
absolute error = 3.8433018777734003247528265e-06
relative error = 0.00019206628574422206205787506482007 %
h = 0.0001
x2[1] (analytic) = 1.0007835959969645851645118949715
x2[1] (numeric) = 1.0007856725547307356726129103233
absolute error = 2.0765577661505081010153518e-06
relative error = 0.00020749318578527204196493492919727 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3189.1MB, alloc=4.6MB, time=454.23
NO POLE
NO POLE
t[1] = 0.5594
x1[1] (analytic) = 2.0010287934058255801013503583046
x1[1] (numeric) = 2.0010249371270298671770846130717
absolute error = 3.8562787957129242657452329e-06
relative error = 0.00019271480792384771439653516301985 %
h = 0.0001
x2[1] (analytic) = 1.0007837012844499293921165539855
x2[1] (numeric) = 1.0007857851262969078494014564829
absolute error = 2.0838418469784572849024974e-06
relative error = 0.00020822100163141773556745522909088 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3192.9MB, alloc=4.6MB, time=454.51
memory used=3196.7MB, alloc=4.6MB, time=454.78
NO POLE
NO POLE
t[1] = 0.5595
x1[1] (analytic) = 2.0010286905316287931111870396384
x1[1] (numeric) = 2.0010248212540246910313179204111
absolute error = 3.8692776041020798691192273e-06
relative error = 0.00019336442412897632741167511738289 %
h = 0.0001
x2[1] (analytic) = 1.0007838065981393580516507969251
x2[1] (numeric) = 1.0007858977377596837581886127777
absolute error = 2.0911396203257065378158526e-06
relative error = 0.00020895018549849449098973770923929 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3200.5MB, alloc=4.6MB, time=455.07
NO POLE
NO POLE
t[1] = 0.5596
x1[1] (analytic) = 2.0010285876677189114458840731839
x1[1] (numeric) = 2.0010247053694158420023186074826
absolute error = 3.8822983030694435654657013e-06
relative error = 0.00019401513436619223182719543995059 %
h = 0.0001
x2[1] (analytic) = 1.0007839119380375980616918901606
x2[1] (numeric) = 1.0007860103891287806404502513246
absolute error = 2.0984510911825787583611640e-06
relative error = 0.00020968073788465356345141400782124 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3204.4MB, alloc=4.6MB, time=455.34
memory used=3208.2MB, alloc=4.6MB, time=455.61
NO POLE
NO POLE
t[1] = 0.5597
x1[1] (analytic) = 2.0010284848140949064663417850887
x1[1] (numeric) = 2.0010245894732021626566013055867
absolute error = 3.8953408927438097404795020e-06
relative error = 0.00019466693864209061945668352707258 %
h = 0.0001
x2[1] (analytic) = 1.000784017304149377337735030738
x2[1] (numeric) = 1.0007861230804139178541906163128
absolute error = 2.1057762645405164555855748e-06
relative error = 0.00021041265928815764276148241436589 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3212.0MB, alloc=4.6MB, time=455.89
NO POLE
NO POLE
t[1] = 0.5598
x1[1] (analytic) = 2.0010283819707557496363192684439
x1[1] (numeric) = 2.0010244735653824954455832218252
absolute error = 3.9084053732541907360466187e-06
relative error = 0.00019531983696327754326565531966996 %
h = 0.0001
x2[1] (analytic) = 1.0007841226964794247923876061954
x2[1] (numeric) = 1.0007862358116248168743827864493
absolute error = 2.1131151453920819951802539e-06
relative error = 0.00021114595020738087766179272150245 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3215.8MB, alloc=4.6MB, time=456.17
NO POLE
NO POLE
t[1] = 0.5599
x1[1] (analytic) = 2.0010282791377004125224240979215
x1[1] (numeric) = 2.0010243576459556827055727644134
absolute error = 3.9214917447298168513335081e-06
relative error = 0.00019597382933636991743390225959804 %
h = 0.0001
x2[1] (analytic) = 1.0007842281150324703355634937492
x2[1] (numeric) = 1.0007863485827712012934092271821
absolute error = 2.1204677387309578457334329e-06
relative error = 0.00021188061114080890017544034105493 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3219.6MB, alloc=4.6MB, time=456.44
memory used=3223.4MB, alloc=4.6MB, time=456.72
NO POLE
NO POLE
t[1] = 0.56
x1[1] (analytic) = 2.0010281763149278667941020454403
x1[1] (numeric) = 2.0010242417149205666577581668832
absolute error = 3.9346000073001363438785571e-06
relative error = 0.00019662891576799551741794349746224 %
h = 0.0001
x2[1] (analytic) = 1.0007843335598132448746773988584
x2[1] (numeric) = 1.0007864613938627968215024327183
absolute error = 2.1278340495519468250338599e-06
relative error = 0.00021261664258703884996007051517041 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3227.2MB, alloc=4.6MB, time=456.99
NO POLE
NO POLE
t[1] = 0.5601
x1[1] (analytic) = 2.0010280735024370842236267968607
x1[1] (numeric) = 2.0010241257722759894081961111754
absolute error = 3.9477301610948154306856853e-06
relative error = 0.00019728509626479298001358345716335 %
h = 0.0001
x2[1] (analytic) = 1.0007844390308264803148392331745
x2[1] (numeric) = 1.0007865742449093312871856578553
absolute error = 2.1352140828509723464246808e-06
relative error = 0.00021335404504477939866609363300265 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3231.1MB, alloc=4.6MB, time=457.26
memory used=3234.9MB, alloc=4.6MB, time=457.53
NO POLE
NO POLE
t[1] = 0.5602
x1[1] (analytic) = 2.0010279707002270366860896697073
x1[1] (numeric) = 2.0010240098180207929478003496224
absolute error = 3.9608822062437382893200849e-06
relative error = 0.00019794237083341180341857464256165 %
h = 0.0001
x2[1] (analytic) = 1.0007845445280769095590485318849
x2[1] (numeric) = 1.0007866871359205346377137396439
absolute error = 2.1426078436250786652077590e-06
relative error = 0.00021409281901285077429981268343135 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3238.7MB, alloc=4.6MB, time=457.80
NO POLE
NO POLE
t[1] = 0.5603
x1[1] (analytic) = 2.0010278679082966961593893319194
x1[1] (numeric) = 2.0010238938521538191523303258206
absolute error = 3.9740561428770070590060988e-06
relative error = 0.00019860073948051234729538572656964 %
h = 0.0001
x2[1] (analytic) = 1.0007846500515692665083889104584
x2[1] (numeric) = 1.0007868000669061389395140089005
absolute error = 2.1500153368724311250984421e-06
relative error = 0.00021483296499018478559146364445215 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3242.5MB, alloc=4.6MB, time=458.08
NO POLE
NO POLE
memory used=3246.3MB, alloc=4.6MB, time=458.35
t[1] = 0.5604
x1[1] (analytic) = 2.0010277651266450347242215216308
x1[1] (numeric) = 2.0010237778746739097823797943926
absolute error = 3.9872519711249418417272382e-06
relative error = 0.00019926020221276583283407498796984 %
h = 0.0001
x2[1] (analytic) = 1.0007847556013082860622225607998
x2[1] (numeric) = 1.0007869130378758783786272915869
absolute error = 2.1574365675923164047307871e-06
relative error = 0.00021557448347582484636816989961961 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3250.1MB, alloc=4.6MB, time=458.62
NO POLE
NO POLE
t[1] = 0.5605
x1[1] (analytic) = 2.001027662355271024564068767976
x1[1] (numeric) = 2.0010236618855799064833654396387
absolute error = 4.0004696911180807033283373e-06
relative error = 0.00019992075903685434281526897634983 %
h = 0.0001
x2[1] (analytic) = 1.0007848611772987041183847868213
x2[1] (numeric) = 1.0007870260488394892611490000766
absolute error = 2.1648715407851427642132553e-06
relative error = 0.00021631737496892599993181174192317 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3253.9MB, alloc=4.6MB, time=458.90
NO POLE
NO POLE
t[1] = 0.5606
x1[1] (analytic) = 2.0010275595941736379651901129253
x1[1] (numeric) = 2.0010235458848706507855154930782
absolute error = 4.0137093029871796746198471e-06
relative error = 0.00020058240995947082167324650543277 %
h = 0.0001
x2[1] (analytic) = 1.0007849667795452575733785794389
x2[1] (numeric) = 1.0007871390998067100136703143241
absolute error = 2.1723202614524402917348852e-06
relative error = 0.00021706163996875494344181173567776 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3257.8MB, alloc=4.6MB, time=459.17
memory used=3261.6MB, alloc=4.6MB, time=459.46
NO POLE
NO POLE
t[1] = 0.5607
x1[1] (analytic) = 2.0010274568433518473166108341475
x1[1] (numeric) = 2.00102342987254498410385834988
absolute error = 4.0269708068632127524842675e-06
relative error = 0.00020124515498731907555912793515423 %
h = 0.0001
x2[1] (analytic) = 1.0007850724080526843225692310028
x2[1] (numeric) = 1.0007872521907872811837194529571
absolute error = 2.1797827345968611502219543e-06
relative error = 0.00021780727897469005230283696678086 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3265.4MB, alloc=4.6MB, time=459.73
NO POLE
NO POLE
t[1] = 0.5608
x1[1] (analytic) = 2.0010273541028046251101121688999
x1[1] (numeric) = 2.0010233138486017477382111841823
absolute error = 4.0402542028773719009847176e-06
relative error = 0.00020190899412711377240416973781755 %
h = 0.0001
x2[1] (analytic) = 1.0007851780628257232603789891665
x2[1] (numeric) = 1.0007873653217909454402030343084
absolute error = 2.1872589652221798240451419e-06
relative error = 0.00021855429248622140455741933156912 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3269.2MB, alloc=4.6MB, time=460.00
memory used=3273.0MB, alloc=4.6MB, time=460.27
NO POLE
NO POLE
t[1] = 0.5609
x1[1] (analytic) = 2.0010272513725309439402210389463
x1[1] (numeric) = 2.0010231978130397828731685633017
absolute error = 4.0535594911610670524756446e-06
relative error = 0.00020257392738558044198316436864745 %
h = 0.0001
x2[1] (analytic) = 1.0007852837438691142804817502062
x2[1] (numeric) = 1.0007874784928274475738475274065
absolute error = 2.1947489583332933657772003e-06
relative error = 0.0002193026810029508052834945448489 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3276.8MB, alloc=4.6MB, time=460.54
NO POLE
NO POLE
t[1] = 0.561
x1[1] (analytic) = 2.0010271486525297765041997765023
x1[1] (numeric) = 2.0010230817658579305780910608312
absolute error = 4.0668866718459261087156711e-06
relative error = 0.0002032399547694554759779454310767 %
h = 0.0001
x2[1] (analytic) = 1.000785389451187598275997791795
x2[1] (numeric) = 1.0007875917039065344976407929425
absolute error = 2.2022527189362216430011475e-06
relative error = 0.000220052445024591810996861117204 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3280.7MB, alloc=4.6MB, time=460.82
NO POLE
NO POLE
t[1] = 0.5611
x1[1] (analytic) = 2.0010270459428000956020358512074
x1[1] (numeric) = 2.0010229657070550318070938686272
absolute error = 4.0802357450637949419825802e-06
relative error = 0.00020390707628548612804099810711105 %
h = 0.0001
x2[1] (analytic) = 1.0007854951847859171396885452431
x2[1] (numeric) = 1.0007877049550379552472737142319
absolute error = 2.2097702520381075851689888e-06
relative error = 0.00022080358505096975405855998210365 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3284.5MB, alloc=4.6MB, time=461.11
memory used=3288.3MB, alloc=4.6MB, time=461.38
NO POLE
NO POLE
t[1] = 0.5612
x1[1] (analytic) = 2.0010269432433408741364315981258
x1[1] (numeric) = 2.0010228496366299273990354076855
absolute error = 4.0936067109467373961904403e-06
relative error = 0.00020457529194043051385917494805304 %
h = 0.0001
x2[1] (analytic) = 1.0007856009446688137641514072081
x2[1] (numeric) = 1.0007878182462314609815819181891
absolute error = 2.2173015626472174305109810e-06
relative error = 0.00022155610158202176708717608281549 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3292.1MB, alloc=4.6MB, time=461.65
NO POLE
NO POLE
t[1] = 0.5613
x1[1] (analytic) = 2.0010268405541510851127939467726
x1[1] (numeric) = 2.0010227335545814580775059379058
absolute error = 4.1069995696270352880088668e-06
relative error = 0.00020524460174105761121751688598648 %
h = 0.0001
x2[1] (analytic) = 1.0007857067308410320420145908862
x2[1] (numeric) = 1.000787931577496804982987586333
absolute error = 2.2248466557729409729954468e-06
relative error = 0.00022230999511779680737606261957961 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3295.9MB, alloc=4.6MB, time=461.93
memory used=3299.7MB, alloc=4.6MB, time=462.21
NO POLE
NO POLE
t[1] = 0.5614
x1[1] (analytic) = 2.001026737875229701639224151168
x1[1] (numeric) = 2.0010226174609084644508161667451
absolute error = 4.1204143212371884079844229e-06
relative error = 0.00020591500569414726006317957629436 %
h = 0.0001
x2[1] (analytic) = 1.0007858125433073168661320166914
x2[1] (numeric) = 1.000788044948843742657941355842
absolute error = 2.2324055364257918093391506e-06
relative error = 0.00022306526615845568131548901719233 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3303.5MB, alloc=4.6MB, time=462.48
NO POLE
NO POLE
t[1] = 0.5615
x1[1] (analytic) = 2.0010266352065756969265075209188
x1[1] (numeric) = 2.0010225013556097870119858567594
absolute error = 4.1338509659099145216641594e-06
relative error = 0.00020658650380649016256946506654222 %
h = 0.0001
x2[1] (analytic) = 1.0007859183820724141297782424291
x2[1] (numeric) = 1.0007881583602820315373643106758
absolute error = 2.2399782096174075860682467e-06
relative error = 0.00022382191520427106881971365313852 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3307.4MB, alloc=4.6MB, time=462.75
NO POLE
NO POLE
t[1] = 0.5616
x1[1] (analytic) = 2.0010265325481880442881031533257
x1[1] (numeric) = 2.001022385238684266138732432034
absolute error = 4.1473095037781493707212917e-06
relative error = 0.00020725909608488788319995870210272 %
h = 0.0001
x2[1] (analytic) = 1.0007860242471410707268434329746
x2[1] (numeric) = 1.0007882718118214312770900627833
absolute error = 2.2475646803605502466298087e-06
relative error = 0.00022457994275562754775898216655714 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3311.2MB, alloc=4.6MB, time=463.03
memory used=3315.0MB, alloc=4.6MB, time=463.31
NO POLE
NO POLE
t[1] = 0.5617
x1[1] (analytic) = 2.0010264299000657171401336665179
x1[1] (numeric) = 2.0010222691101307420934595835021
absolute error = 4.1607899349750466740830158e-06
relative error = 0.00020793278253615284877277135880432 %
h = 0.0001
x2[1] (analytic) = 1.0007861301385180345520283694613
x2[1] (numeric) = 1.0007883853034717036583069234141
absolute error = 2.2551649536691062785539528e-06
relative error = 0.00022533934931302161839645255799407 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3318.8MB, alloc=4.6MB, time=463.58
NO POLE
NO POLE
t[1] = 0.5618
x1[1] (analytic) = 2.001026327262207689001374933615
x1[1] (numeric) = 2.0010221529699480550232458731514
absolute error = 4.1742922596339781290604636e-06
relative error = 0.00020860756316710834852488701792565 %
h = 0.0001
x2[1] (analytic) = 1.0007862360562080545010394979893
x2[1] (numeric) = 1.0007884988352426125880001645516
absolute error = 2.2627790345580869606665623e-06
relative error = 0.00022610013537706172783004775029316 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3322.6MB, alloc=4.6MB, time=463.85
memory used=3326.4MB, alloc=4.6MB, time=464.14
NO POLE
NO POLE
t[1] = 0.5619
x1[1] (analytic) = 2.0010262246346129334932458179137
x1[1] (numeric) = 2.0010220368181350449598333371193
absolute error = 4.1878164778885334124807944e-06
relative error = 0.00020928343798458853417661552894447 %
h = 0.0001
x2[1] (analytic) = 1.0007863420002158804707840178602
x2[1] (numeric) = 1.0007886124071439240993943704865
absolute error = 2.2704069280436286103526263e-06
relative error = 0.00022686230144846829443923685050418 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3330.2MB, alloc=4.6MB, time=464.41
NO POLE
NO POLE
t[1] = 0.562
x1[1] (analytic) = 2.0010261220172804243397979091028
x1[1] (numeric) = 2.0010219206546905518196160876756
absolute error = 4.2013625898725201818214272e-06
relative error = 0.00020996040699543841999615079025198 %
h = 0.0001
x2[1] (analytic) = 1.0007864479705462633595650093473
x2[1] (numeric) = 1.0007887260191854063523958795485
absolute error = 2.2780486391429928308702012e-06
relative error = 0.00022762584802807373233674591300516 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3334.1MB, alloc=4.6MB, time=464.68
NO POLE
NO POLE
t[1] = 0.5621
x1[1] (analytic) = 2.0010260194102091353677052605034
x1[1] (numeric) = 2.0010218044796134154036289140933
absolute error = 4.2149305957199640763464101e-06
relative error = 0.00021063847020651388286423416325675 %
h = 0.0001
x2[1] (analytic) = 1.0007865539672039550672766010072
x2[1] (numeric) = 1.0007888396713768296340353160145
absolute error = 2.2857041728745667587150073e-06
relative error = 0.00022839077561682247582519937372108 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3337.9MB, alloc=4.6MB, time=464.96
memory used=3341.7MB, alloc=4.6MB, time=465.24
NO POLE
NO POLE
t[1] = 0.5622
x1[1] (analytic) = 2.0010259168133980405062541273357
x1[1] (numeric) = 2.0010216882929024753975358824074
absolute error = 4.2285204955651087182449283e-06
relative error = 0.00021131762762468166233892319516855 %
h = 0.0001
x2[1] (analytic) = 1.0007866599901937084955991765442
x2[1] (numeric) = 1.0007889533637279663589102122113
absolute error = 2.2933735342578633110356671e-06
relative error = 0.00022915708471577100385869275574133 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3345.5MB, alloc=4.6MB, time=465.52
NO POLE
NO POLE
t[1] = 0.5623
x1[1] (analytic) = 2.0010258142268461137873327060116
x1[1] (numeric) = 2.0010215720945565713716189340611
absolute error = 4.2421322895424157137719505e-06
relative error = 0.00021199787925681936072046564079629 %
h = 0.0001
x2[1] (analytic) = 1.0007867660395202775481946212304
x2[1] (numeric) = 1.0007890670962485910696277208314
absolute error = 2.3010567283135214330996010e-06
relative error = 0.00022992477582608786450929815589986 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3349.3MB, alloc=4.6MB, time=465.79
memory used=3353.1MB, alloc=4.6MB, time=466.08
NO POLE
NO POLE
t[1] = 0.5624
x1[1] (analytic) = 2.0010257116505523293454208744542
x1[1] (numeric) = 2.0010214558845745427807664834396
absolute error = 4.2557659777865646543910146e-06
relative error = 0.00021267922510981544311627882866562 %
h = 0.0001
x2[1] (analytic) = 1.0007868721151884171309016078945
x2[1] (numeric) = 1.0007891808689484804372474174798
absolute error = 2.3087537600633063458095853e-06
relative error = 0.0002306938494490536994385029427019 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3356.9MB, alloc=4.6MB, time=466.35
NO POLE
NO POLE
t[1] = 0.5625
x1[1] (analytic) = 2.0010256090845156614175799334417
x1[1] (numeric) = 2.0010213396629552289644620142917
absolute error = 4.2694215604324531179191500e-06
relative error = 0.0002133616651905692375060342368545 %
h = 0.0001
x2[1] (analytic) = 1.0007869782172028831519309224827
x2[1] (numeric) = 1.00078929468183741326172419347
absolute error = 2.3164646345301097932709873e-06
relative error = 0.00023146430608606126837358308517994 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3360.8MB, alloc=4.6MB, time=466.62
NO POLE
NO POLE
memory used=3364.6MB, alloc=4.6MB, time=466.91
t[1] = 0.5626
x1[1] (analytic) = 2.0010255065287350843434423489788
x1[1] (numeric) = 2.0010212234296974691467726750383
absolute error = 4.2830990376151966696739405e-06
relative error = 0.00021404519950599093480684747877256 %
h = 0.0001
x2[1] (analytic) = 1.0007870843455684325220608292032
x2[1] (numeric) = 1.0007894085349251704723512388875
absolute error = 2.3241893567379502904096843e-06
relative error = 0.00023223614623861547358891173286231 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3368.4MB, alloc=4.6MB, time=467.18
NO POLE
NO POLE
t[1] = 0.5627
x1[1] (analytic) = 2.0010254039832095725652014956927
x1[1] (numeric) = 2.0010211071848001024363378729687
absolute error = 4.2967984094701288636227240e-06
relative error = 0.00021472982806300158893857350931059 %
h = 0.0001
x2[1] (analytic) = 1.0007871905002898231548324752596
x2[1] (numeric) = 1.0007895224282215351282031159392
absolute error = 2.3319279317119733706406796e-06
relative error = 0.00023300937040833338439220429651825 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3372.2MB, alloc=4.6MB, time=467.45
NO POLE
NO POLE
t[1] = 0.5628
x1[1] (analytic) = 2.0010253014479381006276014012548
x1[1] (numeric) = 2.0010209909282619678263578673235
absolute error = 4.3105196761328012435339313e-06
relative error = 0.00021541555086853311688920716662963 %
h = 0.0001
x2[1] (analytic) = 1.0007872966813718139667453351817
x2[1] (numeric) = 1.0007896363617362924185789226067
absolute error = 2.3396803644784518335874250e-06
relative error = 0.00023378397909694426161570091959958 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3376.0MB, alloc=4.6MB, time=467.72
memory used=3379.8MB, alloc=4.6MB, time=468.00
NO POLE
NO POLE
t[1] = 0.5629
x1[1] (analytic) = 2.0010251989229196431779264918287
x1[1] (numeric) = 2.001020874660081904194582361265
absolute error = 4.3242628377389833441305637e-06
relative error = 0.0002161023679295282987803890349259 %
h = 0.0001
x2[1] (analytic) = 1.0007874028888191648774526947631
x2[1] (numeric) = 1.0007897503354792296634455466215
absolute error = 2.3474466600647859928518584e-06
relative error = 0.00023455997280628958211228714034373 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3383.6MB, alloc=4.6MB, time=468.27
NO POLE
NO POLE
t[1] = 0.563
x1[1] (analytic) = 2.0010250964081531749659913385423
x1[1] (numeric) = 2.0010207583802587503032990927345
absolute error = 4.3380278944246626922458078e-06
relative error = 0.00021679027925294077793301654854113 %
h = 0.0001
x2[1] (analytic) = 1.0007875091226366368099571746115
x2[1] (numeric) = 1.0007898643494601363138810097808
absolute error = 2.3552268234995039238351693e-06
relative error = 0.00023533735203832306325655396414774 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3387.5MB, alloc=4.6MB, time=468.54
memory used=3391.3MB, alloc=4.6MB, time=468.82
NO POLE
NO POLE
t[1] = 0.5631
x1[1] (analytic) = 2.0010249939036376708441304049866
x1[1] (numeric) = 2.0010206420887913447993224241961
absolute error = 4.3518148463260448079807905e-06
relative error = 0.00021747928484573506093296048766953 %
h = 0.0001
x2[1] (analytic) = 1.00078761538282899169080629332
x2[1] (numeric) = 1.000789978403688803952517902622
absolute error = 2.3630208598122617116093020e-06
relative error = 0.00023611611729511068745079826603185 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3395.1MB, alloc=4.6MB, time=469.10
NO POLE
NO POLE
t[1] = 0.5632
x1[1] (analytic) = 2.0010248914093721057671877957387
x1[1] (numeric) = 2.0010205257856785262139819312677
absolute error = 4.3656236935795532058644710e-06
relative error = 0.00021816938471488651769688670607208 %
h = 0.0001
x2[1] (analytic) = 1.0007877216694009924502880702683
x2[1] (numeric) = 1.0007900924981750262939869094737
absolute error = 2.3708287740338436988392054e-06
relative error = 0.00023689626907883072663596435305638 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3398.9MB, alloc=4.6MB, time=469.38
NO POLE
NO POLE
t[1] = 0.5633
x1[1] (analytic) = 2.0010247889253554547925070059103
x1[1] (numeric) = 2.0010204094709191329631109902383
absolute error = 4.3794544363218293960156720e-06
relative error = 0.00021886057886738138153818320106967 %
h = 0.0001
x2[1] (analytic) = 1.0007878279823574030226266680606
x2[1] (numeric) = 1.0007902066329285991853604239022
absolute error = 2.3786505711961627337558416e-06
relative error = 0.00023767780789177376680752784627035 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3402.7MB, alloc=4.6MB, time=469.65
memory used=3406.5MB, alloc=4.6MB, time=469.94
NO POLE
NO POLE
t[1] = 0.5634
x1[1] (analytic) = 2.0010246864515866930799206717211
x1[1] (numeric) = 2.0010202931445120033470353644721
absolute error = 4.3933070746897328853072490e-06
relative error = 0.00021955286731021674923299247117181 %
h = 0.0001
x2[1] (analytic) = 1.0007879343217029883461780746084
x2[1] (numeric) = 1.0007903208079593206065962545711
absolute error = 2.3864862563322604181799627e-06
relative error = 0.00023846073423634273253632276196421 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3410.4MB, alloc=4.6MB, time=470.21
NO POLE
NO POLE
t[1] = 0.5635
x1[1] (analytic) = 2.0010245839880647958917403220971
x1[1] (numeric) = 2.0010201768064559755505617896986
absolute error = 4.4071816088203411785323985e-06
relative error = 0.00022024625005040058108634920164817 %
h = 0.0001
x2[1] (analytic) = 1.0007880406874425143636258248662
x2[1] (numeric) = 1.0007904350232769906709814215325
absolute error = 2.3943358344763073555966663e-06
relative error = 0.00023924504861505291149431278188689 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3414.2MB, alloc=4.6MB, time=470.48
memory used=3418.0MB, alloc=4.6MB, time=470.76
NO POLE
NO POLE
t[1] = 0.5636
x1[1] (analytic) = 2.001024481534788738592746131294
x1[1] (numeric) = 2.0010200604567498876429665581897
absolute error = 4.4210780388509497795731043e-06
relative error = 0.0002209407270949517009984232383918 %
h = 0.0001
x2[1] (analytic) = 1.0007881470795807480221767622282
x2[1] (numeric) = 1.0007905492788914116255760429682
absolute error = 2.4021993106636033992807400e-06
relative error = 0.00024003075153053197898530768207657 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3421.8MB, alloc=4.6MB, time=471.03
NO POLE
NO POLE
t[1] = 0.5637
x1[1] (analytic) = 2.0010243790917574966501766725444
x1[1] (numeric) = 2.0010199440953925775779841018223
absolute error = 4.4349963649190721925707221e-06
relative error = 0.00022163629845089979653086786039679 %
h = 0.0001
x2[1] (analytic) = 1.000788253498122457273756839593
x2[1] (numeric) = 1.0007906635748123878516573123986
absolute error = 2.4100766899305779004728056e-06
relative error = 0.00024081784348552002248062592989794 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3425.6MB, alloc=4.6MB, time=471.31
NO POLE
NO POLE
t[1] = 0.5638
x1[1] (analytic) = 2.0010242766589700456337186727308
x1[1] (numeric) = 2.0010198277223828831937955740273
absolute error = 4.4489365871624399230987035e-06
relative error = 0.0002223329641252854189732734061501 %
h = 0.0001
x2[1] (analytic) = 1.0007883599430724110752069601057
x2[1] (numeric) = 1.0007907779110497258651635663781
absolute error = 2.4179679773147899566062724e-06
relative error = 0.0002416063249828695661597043289539 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3429.4MB, alloc=4.6MB, time=471.58
memory used=3433.2MB, alloc=4.6MB, time=471.86
NO POLE
NO POLE
t[1] = 0.5639
x1[1] (analytic) = 2.0010241742364253612154967680819
x1[1] (numeric) = 2.0010197113377196422130174306249
absolute error = 4.4628987057190024793374570e-06
relative error = 0.00022303072412515998340972613432688 %
h = 0.0001
x2[1] (analytic) = 1.0007884664144353793884788575826
x2[1] (numeric) = 1.0007908922876132343171384426956
absolute error = 2.4258731778549286595851130e-06
relative error = 0.00024239619652554559545565599120019 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3437.1MB, alloc=4.6MB, time=472.13
NO POLE
NO POLE
t[1] = 0.564
x1[1] (analytic) = 2.0010240718241224191700632608944
x1[1] (numeric) = 2.0010195949414016922426900095453
absolute error = 4.4768827207269273732513491e-06
relative error = 0.00022372957845758576878547247403778 %
h = 0.0001
x2[1] (analytic) = 1.0007885729122161331808310166308
x2[1] (numeric) = 1.0007910067045127239941751290969
absolute error = 2.4337922965908133441124661e-06
relative error = 0.00024318745861662558160577702626404 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3440.9MB, alloc=4.6MB, time=472.40
memory used=3444.7MB, alloc=4.6MB, time=472.68
NO POLE
NO POLE
t[1] = 0.5641
x1[1] (analytic) = 2.001023969422060195374387877278
x1[1] (numeric) = 2.0010194785334278707742661094355
absolute error = 4.4908886323246001217678425e-06
relative error = 0.0002244295271296359179736885150327 %
h = 0.0001
x2[1] (analytic) = 1.0007886794364194444250246324652
x2[1] (numeric) = 1.0007911211617580078188607025489
absolute error = 2.4417253385633938360700837e-06
relative error = 0.00024398011175929950620700362692887 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3448.5MB, alloc=4.6MB, time=472.95
NO POLE
NO POLE
t[1] = 0.5642
x1[1] (analytic) = 2.0010238670302376658078475259256
x1[1] (numeric) = 2.0010193621137970151835995671515
absolute error = 4.5049164406506242479587741e-06
relative error = 0.00022513057014839443784235487311959 %
h = 0.0001
x2[1] (analytic) = 1.0007887859870500860995196104353
x2[1] (numeric) = 1.0007912356593589008502205590633
absolute error = 2.4496723088147507009486280e-06
relative error = 0.00024477415645686988577632002067095 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3452.3MB, alloc=4.6MB, time=473.22
NO POLE
NO POLE
t[1] = 0.5643
x1[1] (analytic) = 2.0010237646486538065522160579064
x1[1] (numeric) = 2.0010192456825079627309338341366
absolute error = 4.5189661458438212822237698e-06
relative error = 0.00022583270752095619932123678120268 %
h = 0.0001
x2[1] (analytic) = 1.0007888925641128321886706052673
x2[1] (numeric) = 1.0007913501973252202841629340973
absolute error = 2.4576332123880954923288300e-06
relative error = 0.00024556959321275179631611842658255 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3456.1MB, alloc=4.6MB, time=473.49
memory used=3459.9MB, alloc=4.6MB, time=473.77
NO POLE
NO POLE
t[1] = 0.5644
x1[1] (analytic) = 2.0010236622773075937916540274844
x1[1] (numeric) = 2.0010191292395595505608905516846
absolute error = 4.5330377480432307634757998e-06
relative error = 0.00022653593925442693746896959117288 %
h = 0.0001
x2[1] (analytic) = 1.0007889991676124576829231000302
x2[1] (numeric) = 1.0007914647756667854539235135509
absolute error = 2.4656080543277710004135207e-06
relative error = 0.00024636642253047289788451204707518 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3463.8MB, alloc=4.6MB, time=474.04
NO POLE
NO POLE
t[1] = 0.5645
x1[1] (analytic) = 2.0010235599161980038126984539593
x1[1] (numeric) = 2.0010190127849506157024581250886
absolute error = 4.5471312473881102403288707e-06
relative error = 0.0002272402653559232515402495020727 %
h = 0.0001
x2[1] (analytic) = 1.0007891057975537385790095248333
x2[1] (numeric) = 1.000791579394393417830510135378
absolute error = 2.4735968396792515006105447e-06
relative error = 0.00024716464491367345917060201381792 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3467.6MB, alloc=4.6MB, time=474.31
memory used=3471.4MB, alloc=4.6MB, time=474.59
NO POLE
NO POLE
t[1] = 0.5646
x1[1] (analytic) = 2.0010234575653240130042525845323
x1[1] (numeric) = 2.0010188963186799950689802966752
absolute error = 4.5612466440179352722878571e-06
relative error = 0.00022794568583257260505312964979387 %
h = 0.0001
x2[1] (analytic) = 1.0007892124539414518801454152633
x2[1] (numeric) = 1.0007916940535149410231475818304
absolute error = 2.4815995734891430021665671e-06
relative error = 0.00024796426086610638207469931725263 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3475.2MB, alloc=4.6MB, time=474.86
NO POLE
NO POLE
t[1] = 0.5647
x1[1] (analytic) = 2.0010233552246845978575756581951
x1[1] (numeric) = 2.0010187798407465254581447177237
absolute error = 4.5753839380723994309404714e-06
relative error = 0.00022865220069151332585642149366819 %
h = 0.0001
x2[1] (analytic) = 1.0007893191367803755962256105697
x2[1] (numeric) = 1.0007918087530411807797224623522
absolute error = 2.4896162608051834968517825e-06
relative error = 0.000248765270891637226293502539167 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3479.0MB, alloc=4.6MB, time=475.13
NO POLE
NO POLE
memory used=3482.8MB, alloc=4.6MB, time=475.41
t[1] = 0.5648
x1[1] (analytic) = 2.0010232528942787349662726706422
x1[1] (numeric) = 2.0010186633511490435519715192703
absolute error = 4.5895431296914143011513719e-06
relative error = 0.00022935980993989460619720150527663 %
h = 0.0001
x2[1] (analytic) = 1.0007894258460752887440204916042
x2[1] (numeric) = 1.0007919234929819649872281871437
absolute error = 2.4976469066762432076955395e-06
relative error = 0.00024956767549424423391023266741884 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3486.6MB, alloc=4.6MB, time=475.68
NO POLE
NO POLE
t[1] = 0.5649
x1[1] (analytic) = 2.0010231505741054010262841402072
x1[1] (numeric) = 2.0010185468498863859168018817973
absolute error = 4.6037242190151094822584099e-06
relative error = 0.00023006851358487650278842319478555 %
h = 0.0001
x2[1] (analytic) = 1.0007895325818309713473722585245
x2[1] (numeric) = 1.0007920382733471236722100314123
absolute error = 2.5056915161523248377728878e-06
relative error = 0.00025037147517801835398972564237376 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3490.5MB, alloc=4.6MB, time=475.96
NO POLE
NO POLE
t[1] = 0.565
x1[1] (analytic) = 2.001023048264163572835875874822
x1[1] (numeric) = 2.0010184303369573890032866038072
absolute error = 4.6179272061838325892710148e-06
relative error = 0.00023077831163362993687663442516322 %
h = 0.0001
x2[1] (analytic) = 1.0007896393440522044373912482691
x2[1] (numeric) = 1.0007921530941464890012102903295
absolute error = 2.5137500942845638190420604e-06
relative error = 0.00025117667044716326717848382416801 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3494.3MB, alloc=4.6MB, time=476.23
memory used=3498.1MB, alloc=4.6MB, time=476.50
NO POLE
NO POLE
t[1] = 0.5651
x1[1] (analytic) = 2.0010229459644522272956287399999
x1[1] (numeric) = 2.0010183138123608891463746692817
absolute error = 4.6321520913381492540707182e-06
relative error = 0.00023148920409333669430980006457767 %
h = 0.0001
x2[1] (analytic) = 1.0007897461327437700526522918107
x2[1] (numeric) = 1.0007922679553898952812135247114
absolute error = 2.5218226461252285612329007e-06
relative error = 0.00025198326180599541030968730009427 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3501.9MB, alloc=4.6MB, time=476.77
NO POLE
NO POLE
t[1] = 0.5652
x1[1] (analytic) = 2.0010228436749703414084284278406
x1[1] (numeric) = 2.0010181972760957225653018140246
absolute error = 4.6463988746188431266138160e-06
relative error = 0.000232201190971189425605229927329 %
h = 0.0001
x2[1] (analytic) = 1.0007898529479104512393911111972
x2[1] (numeric) = 1.000792382857087178960091897442
absolute error = 2.5299091767277207007862448e-06
relative error = 0.00025279124975894400101316600134265 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3505.7MB, alloc=4.6MB, time=477.04
memory used=3509.5MB, alloc=4.6MB, time=477.32
NO POLE
NO POLE
t[1] = 0.5653
x1[1] (analytic) = 2.0010227413957168922794552270599
x1[1] (numeric) = 2.0010180807281607253635790908903
absolute error = 4.6606675561669158761361696e-06
relative error = 0.00023291427227439164601761205861439 %
h = 0.0001
x2[1] (analytic) = 1.0007899597895570320517007563873
x2[1] (numeric) = 1.000792497799248178627050600657
absolute error = 2.5380096911465753498442697e-06
relative error = 0.00025360063481055106233033363827145 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3513.4MB, alloc=4.6MB, time=477.59
NO POLE
NO POLE
t[1] = 0.5654
x1[1] (analytic) = 2.0010226391266908571161737940409
x1[1] (numeric) = 2.0010179641685547335289814338958
absolute error = 4.6749581361235871923601451e-06
relative error = 0.00023362844801015773560715130848128 %
h = 0.0001
x2[1] (analytic) = 1.000790066657688297551728081889
x2[1] (numeric) = 1.0007926127818827350130733737063
absolute error = 2.5461241944374613452918173e-06
relative error = 0.00025441141746547144733408438341936 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3517.2MB, alloc=4.6MB, time=477.87
NO POLE
NO POLE
t[1] = 0.5655
x1[1] (analytic) = 2.0010225368678912132283229249089
x1[1] (numeric) = 2.0010178475972765829335362212173
absolute error = 4.6892706146302947867036916e-06
relative error = 0.00023434371818571293930781325026724 %
h = 0.0001
x2[1] (analytic) = 1.0007901735523090338098702632086
x2[1] (numeric) = 1.0007927278050006909913681119138
absolute error = 2.5542526916571814978487052e-06
relative error = 0.00025522359822847286375365334135744 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3521.0MB, alloc=4.6MB, time=478.14
memory used=3524.8MB, alloc=4.6MB, time=478.42
NO POLE
NO POLE
t[1] = 0.5656
x1[1] (analytic) = 2.0010224346193169380279053286287
x1[1] (numeric) = 2.0010177310143251093335118370714
absolute error = 4.7036049918286943934915573e-06
relative error = 0.0002350600828082933669956733788864 %
h = 0.0001
x2[1] (analytic) = 1.0007902804734240279049713531188
x2[1] (numeric) = 1.0007928428686118915778125661531
absolute error = 2.5623951878636728412130343e-06
relative error = 0.00025603717760443589860444174453205 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3528.6MB, alloc=4.6MB, time=478.70
NO POLE
NO POLE
t[1] = 0.5657
x1[1] (analytic) = 2.0010223323809670090291774011247
x1[1] (numeric) = 2.0010176144196991483694062324797
absolute error = 4.7179612678606597711686450e-06
relative error = 0.00023577754188514599355737166924849 %
h = 0.0001
x2[1] (analytic) = 1.0007903874210380679245188777531
x2[1] (numeric) = 1.0007929579727261839314001332569
absolute error = 2.5705516881160068812555038e-06
relative error = 0.00025685215609835404282280787417649 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3532.4MB, alloc=4.6MB, time=478.98
memory used=3536.2MB, alloc=4.6MB, time=479.25
NO POLE
NO POLE
t[1] = 0.5658
x1[1] (analytic) = 2.0010222301528404038486390004234
x1[1] (numeric) = 2.0010174978133975355659354849179
absolute error = 4.7323394428682827035155055e-06
relative error = 0.00023649609542352865895867242017519 %
h = 0.0001
x2[1] (analytic) = 1.0007904943951559429648404725347
x2[1] (numeric) = 1.0007930731173534173546857372783
absolute error = 2.5787221974743898452647436e-06
relative error = 0.00025766853421533371590582464538999 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3540.1MB, alloc=4.6MB, time=479.52
NO POLE
NO POLE
t[1] = 0.5659
x1[1] (analytic) = 2.0010221279349361002050232228183
x1[1] (numeric) = 2.0010173811954191063320223568487
absolute error = 4.7467395169938730008659696e-06
relative error = 0.0002372157434307100683131294191227 %
h = 0.0001
x2[1] (analytic) = 1.0007906013957824431313005579472
x2[1] (numeric) = 1.0007931883025034432942318016233
absolute error = 2.5869067210001629312436761e-06
relative error = 0.00025848631246059429055600499529881 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3543.9MB, alloc=4.6MB, time=479.81
NO POLE
NO POLE
t[1] = 0.566
x1[1] (analytic) = 2.0010220257272530759192861800574
x1[1] (numeric) = 2.0010172645657626959607848531382
absolute error = 4.7611614903799585013269192e-06
relative error = 0.00023793648591396979195085645302405 %
h = 0.0001
x2[1] (analytic) = 1.0007907084229223595384970551573
x2[1] (numeric) = 1.0007933035281861153410543120718
absolute error = 2.5951052637558025572569145e-06
relative error = 0.00025930549133946811733099572357407 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3547.7MB, alloc=4.6MB, time=480.08
memory used=3551.5MB, alloc=4.6MB, time=480.35
NO POLE
NO POLE
t[1] = 0.5661
x1[1] (analytic) = 2.0010219235297903089145967775527
x1[1] (numeric) = 2.0010171479244271396295247773564
absolute error = 4.7756053631692850720001963e-06
relative error = 0.00023865832288059826548740310560827 %
h = 0.0001
x2[1] (analytic) = 1.0007908154765804843104581414934
x2[1] (numeric) = 1.0007934187944112892310689707057
absolute error = 2.6033178308049206108292123e-06
relative error = 0.00026012607135740054929824119395618 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3555.3MB, alloc=4.6MB, time=480.62
NO POLE
NO POLE
t[1] = 0.5662
x1[1] (analytic) = 2.0010218213425467772163264936117
x1[1] (numeric) = 2.0010170312714112723997162869608
absolute error = 4.7900711355048166102066509e-06
relative error = 0.00023938125433789678989273589149746 %
h = 0.0001
x2[1] (analytic) = 1.0007909225567616105808390457924
x2[1] (numeric) = 1.0007935341011888228455374407632
absolute error = 2.6115444272122646983949708e-06
relative error = 0.00026094805301994996669461751603115 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3559.1MB, alloc=4.6MB, time=480.90
memory used=3562.9MB, alloc=4.6MB, time=481.17
NO POLE
NO POLE
t[1] = 0.5663
x1[1] (analytic) = 2.0010217191655214589520391596913
x1[1] (numeric) = 2.0010169146067139292169944473639
absolute error = 4.8045588075297350447123274e-06
relative error = 0.0002401052802931775315603247074179 %
h = 0.0001
x2[1] (analytic) = 1.0007910296634705324931188836195
x2[1] (numeric) = 1.0007936494485285762115136824362
absolute error = 2.6197850580437183947988167e-06
relative error = 0.00026177143683278780159103835606107 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3566.8MB, alloc=4.6MB, time=481.44
NO POLE
NO POLE
t[1] = 0.5664
x1[1] (analytic) = 2.0010216169987133323514807416736
x1[1] (numeric) = 2.0010167979303339449111437848838
absolute error = 4.8190683793874403369567898e-06
relative error = 0.00024083040075376352237633461584405 %
h = 0.0001
x2[1] (analytic) = 1.0007911367967120452007975323695
x2[1] (numeric) = 1.0007937648364404115022903796308
absolute error = 2.6280397283663014928472613e-06
relative error = 0.0002625962233016985625620334656912 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3570.6MB, alloc=4.6MB, time=481.73
NO POLE
NO POLE
t[1] = 0.5665
x1[1] (analytic) = 2.0010215148421213757465691221627
x1[1] (numeric) = 2.001016681242270154196086838578
absolute error = 4.8335998512215504822835847e-06
relative error = 0.00024155661572698865978892291142716 %
h = 0.0001
x2[1] (analytic) = 1.0007912439564909448675925462599
x2[1] (numeric) = 1.0007938802649341930378454577079
absolute error = 2.6363084432481702529114480e-06
relative error = 0.00026342241293257985936030053770862 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3574.4MB, alloc=4.6MB, time=481.99
memory used=3578.2MB, alloc=4.6MB, time=482.27
NO POLE
NO POLE
t[1] = 0.5666
x1[1] (analytic) = 2.0010214126957445675713838838047
x1[1] (numeric) = 2.0010165645425213916698727109606
absolute error = 4.8481532231759015111728441e-06
relative error = 0.00024228392522019770687764157048323 %
h = 0.0001
x2[1] (analytic) = 1.0007913511428120286676361112201
x2[1] (numeric) = 1.000793995734019787285288692223
absolute error = 2.6445912077586176525810029e-06
relative error = 0.0002642500062314424275962318073625 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3582.0MB, alloc=4.6MB, time=482.55
NO POLE
NO POLE
t[1] = 0.5667
x1[1] (analytic) = 2.001021310559581886362156093628
x1[1] (numeric) = 2.0010164478310864918146656176024
absolute error = 4.8627284953945474904760256e-06
relative error = 0.00024301232924074629242294496392804 %
h = 0.0001
x2[1] (analytic) = 1.0007914583556800947856720396865
x2[1] (numeric) = 1.0007941112437070628593084086833
absolute error = 2.6528880269680736363689968e-06
relative error = 0.00026507900370441015342241616824197 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3585.8MB, alloc=4.6MB, time=482.82
memory used=3589.6MB, alloc=4.6MB, time=483.09
NO POLE
NO POLE
t[1] = 0.5668
x1[1] (analytic) = 2.0010212084336323107572580884055
x1[1] (numeric) = 2.0010163311079642889967334356137
absolute error = 4.8773256680217605246527918e-06
relative error = 0.00024374182779600091097580292393892 %
h = 0.0001
x2[1] (analytic) = 1.0007915655950999424172528053126
x2[1] (numeric) = 1.0007942267940058905226182733406
absolute error = 2.6611989059481053654680280e-06
relative error = 0.00026590940585772009822311768159442 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3593.5MB, alloc=4.6MB, time=483.36
NO POLE
NO POLE
t[1] = 0.5669
x1[1] (analytic) = 2.0010211063178948194971932610386
x1[1] (numeric) = 2.0010162143731536174664362510103
absolute error = 4.8919447412020307570100283e-06
relative error = 0.00024447242089333892292741913468472 %
h = 0.0001
x2[1] (analytic) = 1.0007916728610763717689366175996
x2[1] (numeric) = 1.0007943423849261431864041750383
absolute error = 2.6695238497714174675574387e-06
relative error = 0.00026674121319772252330873169767312 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3597.3MB, alloc=4.6MB, time=483.64
NO POLE
NO POLE
memory used=3601.1MB, alloc=4.6MB, time=483.92
t[1] = 0.567
x1[1] (analytic) = 2.0010210042123683914245858479624
x1[1] (numeric) = 2.0010160976266533113582149049621
absolute error = 4.9065857150800663709430003e-06
relative error = 0.00024520410854014855457905484744961 %
h = 0.0001
x2[1] (analytic) = 1.0007917801536141840584845364564
x2[1] (numeric) = 1.0007944580164776959107711981308
absolute error = 2.6778628635118522866616744e-06
relative error = 0.00026757442623088091461521946794418 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3604.9MB, alloc=4.6MB, time=484.19
NO POLE
NO POLE
t[1] = 0.5671
x1[1] (analytic) = 2.0010209021170520054841707175712
x1[1] (numeric) = 2.001015980868462204690579538924
absolute error = 4.9212485898007935911786472e-06
relative error = 0.00024593689074382889821195789049218 %
h = 0.0001
x2[1] (analytic) = 1.0007918874727181815150576266981
x2[1] (numeric) = 1.0007945736886704259051906864939
absolute error = 2.6862159522443901330597958e-06
relative error = 0.00026840904546377200740852213694879 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3608.7MB, alloc=4.6MB, time=484.47
NO POLE
NO POLE
t[1] = 0.5672
x1[1] (analytic) = 2.0010208000319446407227831596667
x1[1] (numeric) = 2.00101586409857913136609813865
absolute error = 4.9359333655093566850210167e-06
relative error = 0.00024667076751178991215739704892669 %
h = 0.0001
x2[1] (analytic) = 1.0007919948183931673794141524895
x2[1] (numeric) = 1.0007946894015142125289473986442
absolute error = 2.6945831210451495332461547e-06
relative error = 0.00026924507140308581099395520243292 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3612.5MB, alloc=4.6MB, time=484.75
memory used=3616.3MB, alloc=4.6MB, time=485.03
NO POLE
NO POLE
t[1] = 0.5673
x1[1] (analytic) = 2.0010206979570452762893486759257
x1[1] (numeric) = 2.0010157473170029251713850770889
absolute error = 4.9506400423511179635988368e-06
relative error = 0.00024740573885145242086680173499354 %
h = 0.0001
x2[1] (analytic) = 1.0007921021906439459041068117415
x2[1] (numeric) = 1.0007948051550189372915867539863
absolute error = 2.7029643749913874799422448e-06
relative error = 0.00027008250455562563343058447237698 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3620.2MB, alloc=4.6MB, time=485.30
NO POLE
NO POLE
t[1] = 0.5674
x1[1] (analytic) = 2.0010205958923528914348727713897
x1[1] (numeric) = 2.0010156305237324197770896561627
absolute error = 4.9653686204716577831152270e-06
relative error = 0.00024814180477024811498200701401098 %
h = 0.0001
x2[1] (analytic) = 1.0007922095894753223536800104694
x2[1] (numeric) = 1.0007949209491944838533621702061
absolute error = 2.7113597191614996821597367e-06
relative error = 0.0002709213454283081062505843876581 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3624.0MB, alloc=4.6MB, time=485.57
memory used=3627.8MB, alloc=4.6MB, time=485.86
NO POLE
NO POLE
t[1] = 0.5675
x1[1] (analytic) = 2.0010204938378664655124307469749
x1[1] (numeric) = 2.0010155137187664487378846474274
absolute error = 4.9801191000167745460995475e-06
relative error = 0.00024887896527561955140560392636437 %
h = 0.0001
x2[1] (analytic) = 1.0007923170148921030048671771206
x2[1] (numeric) = 1.0007950367840507380256824918281
absolute error = 2.7197691586350208153147075e-06
relative error = 0.00027176159452816320918357968896446 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3631.6MB, alloc=4.6MB, time=486.13
NO POLE
NO POLE
t[1] = 0.5676
x1[1] (analytic) = 2.0010203917935849779771574930029
x1[1] (numeric) = 2.0010153969021038454924548316155
absolute error = 4.9948914811324847026613874e-06
relative error = 0.00024961722037502015337139515583288 %
h = 0.0001
x2[1] (analytic) = 1.0007924244668990951467881168789
x2[1] (numeric) = 1.0007951526595975877715595099561
absolute error = 2.7281926984926247713930772e-06
relative error = 0.00027260325236233429488597158641255 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3635.4MB, alloc=4.6MB, time=486.40
NO POLE
NO POLE
t[1] = 0.5677
x1[1] (analytic) = 2.0010202897595074083862372837517
x1[1] (numeric) = 2.0010152800737434433634855370604
absolute error = 5.0096857639650227517466913e-06
relative error = 0.00025035657007591421051495601459437 %
h = 0.0001
x2[1] (analytic) = 1.0007925319455011070811464059542
x2[1] (numeric) = 1.0007952685758449232060555732144
absolute error = 2.7366303438161249091672602e-06
relative error = 0.00027344631943807811367524920059958 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3639.2MB, alloc=4.6MB, time=486.67
memory used=3643.1MB, alloc=4.6MB, time=486.95
NO POLE
NO POLE
t[1] = 0.5678
x1[1] (analytic) = 2.0010201877356327363988935730284
x1[1] (numeric) = 2.0010151632336840755576511770033
absolute error = 5.0245019486608412423960251e-06
relative error = 0.0002510970143857768789443007852132 %
h = 0.0001
x2[1] (analytic) = 1.0007926394507029481224268258657
x2[1] (numeric) = 1.0007953845328026365967312899093
absolute error = 2.7450820996884743044640436e-06
relative error = 0.00027429079626276483826928738352827 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3646.9MB, alloc=4.6MB, time=487.22
NO POLE
NO POLE
t[1] = 0.5679
x1[1] (analytic) = 2.0010200857219599417763787907604
x1[1] (numeric) = 2.001015046381924575165603785781
absolute error = 5.0393400353666107750049794e-06
relative error = 0.00025183855331209418131065433997741 %
h = 0.0001
x2[1] (analytic) = 1.0007927469825094285980928377257
x2[1] (numeric) = 1.000795500530480622364093321428
absolute error = 2.7535479711937660004837023e-06
relative error = 0.0002751366833438780885306318579496 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3650.7MB, alloc=4.6MB, time=487.49
memory used=3654.5MB, alloc=4.6MB, time=487.77
NO POLE
NO POLE
t[1] = 0.568
x1[1] (analytic) = 2.0010199837184880043819641406087
x1[1] (numeric) = 2.0010149295184637751619615538961
absolute error = 5.0542000242292200025867126e-06
relative error = 0.00025258118686236300687932914285645 %
h = 0.0001
x2[1] (analytic) = 1.0007928545409253598487840965324
x2[1] (numeric) = 1.0007956165688887770820422668943
absolute error = 2.7620279634172332581703619e-06
relative error = 0.00027598398118901495621577271356264 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3658.3MB, alloc=4.6MB, time=488.04
NO POLE
NO POLE
t[1] = 0.5681
x1[1] (analytic) = 2.0010198817252159041809293986002
x1[1] (numeric) = 2.0010148126433005084052973619684
absolute error = 5.0690819153957756320366318e-06
relative error = 0.00025332491504409111160070753945335 %
h = 0.0001
x2[1] (analytic) = 1.0007929621259555542285140054801
x2[1] (numeric) = 1.0007957326480369994783206390992
absolute error = 2.7705220814452498066336191e-06
relative error = 0.00027683269030588602972940716858772 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3662.1MB, alloc=4.6MB, time=488.31
NO POLE
NO POLE
t[1] = 0.5682
x1[1] (analytic) = 2.0010197797421426212405527127806
x1[1] (numeric) = 2.0010146957564336076381273135676
absolute error = 5.0839857090136024253992130e-06
relative error = 0.00025406973786479711818132941023809 %
h = 0.0001
x2[1] (analytic) = 1.0007930697376048251048673102937
x2[1] (numeric) = 1.0007958487679351904349609317243
absolute error = 2.7790303303653300936214306e-06
relative error = 0.00027768281120231541888369263509949 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3665.9MB, alloc=4.6MB, time=488.58
memory used=3669.8MB, alloc=4.6MB, time=488.87
NO POLE
NO POLE
t[1] = 0.5683
x1[1] (analytic) = 2.0010196777692671357301004038872
x1[1] (numeric) = 2.0010145788578619054868992669279
absolute error = 5.0989114052302432011369593e-06
relative error = 0.00025481565533201051615508512242022 %
h = 0.0001
x2[1] (analytic) = 1.0007931773758779868591977335964
x2[1] (numeric) = 1.0007959649285932529887337778772
absolute error = 2.7875527152661295360442808e-06
relative error = 0.00027853434438624077966249105653523 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3673.6MB, alloc=4.6MB, time=489.14
NO POLE
NO POLE
t[1] = 0.5684
x1[1] (analytic) = 2.0010195758065884279208167670416
x1[1] (numeric) = 2.001014461947584234461981365543
absolute error = 5.1138590041934588354014986e-06
relative error = 0.00025556266745327166195451385574755 %
h = 0.0001
x2[1] (analytic) = 1.0007932850407798548868256493186
x2[1] (numeric) = 1.0007960811300210923315961999571
absolute error = 2.7960892412374447705506385e-06
relative error = 0.00027938729036571333899060547577532 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3677.4MB, alloc=4.6MB, time=489.41
memory used=3681.2MB, alloc=4.6MB, time=489.70
NO POLE
NO POLE
t[1] = 0.5685
x1[1] (analytic) = 2.0010194738541054781859138744619
x1[1] (numeric) = 2.001014345025599426957650567643
absolute error = 5.1288285060512282633068189e-06
relative error = 0.00025631077423613177898220720760414 %
h = 0.0001
x2[1] (analytic) = 1.0007933927323152455972357971543
x2[1] (numeric) = 1.0007961973722286158111399508686
absolute error = 2.8046399133702139041537143e-06
relative error = 0.00028024164964889791950800994204766 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3685.0MB, alloc=4.6MB, time=489.97
NO POLE
NO POLE
t[1] = 0.5686
x1[1] (analytic) = 2.001019371911817267000561379195
x1[1] (numeric) = 2.001014228091906315252081174552
absolute error = 5.1438199109517484802046430e-06
relative error = 0.00025705997568815295768231816768651 %
h = 0.0001
x2[1] (analytic) = 1.000793500450488976414275037076
x2[1] (numeric) = 1.0007963136552257329310399466029
absolute error = 2.8132047367565167649095269e-06
relative error = 0.00028109742274407296434907351515755 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3688.8MB, alloc=4.6MB, time=490.24
NO POLE
NO POLE
t[1] = 0.5687
x1[1] (analytic) = 2.0010192699797227749418763198684
x1[1] (numeric) = 2.0010141111465037315073333579266
absolute error = 5.1588332190434345429619418e-06
relative error = 0.00025781027181690815561217542260321 %
h = 0.0001
x2[1] (analytic) = 1.0007936081953058657763501439129
x2[1] (numeric) = 1.0007964299790223553515027902038
absolute error = 2.8217837164895751526462909e-06
relative error = 0.00028195461015963056192677956517096 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3692.6MB, alloc=4.6MB, time=490.51
memory used=3696.5MB, alloc=4.6MB, time=490.80
NO POLE
NO POLE
t[1] = 0.5688
x1[1] (analytic) = 2.0010191680578209826889129264611
x1[1] (numeric) = 2.001013994189390507769341685875
absolute error = 5.1738684304749195712405861e-06
relative error = 0.00025856166262998119751400298572509 %
h = 0.0001
x2[1] (analytic) = 1.0007937159667707331366256420024
x2[1] (numeric) = 1.0007965463436283968897153871382
absolute error = 2.8303768576637530897451358e-06
relative error = 0.00028281321240407647072194127588084 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3700.3MB, alloc=4.6MB, time=491.06
NO POLE
NO POLE
t[1] = 0.5689
x1[1] (analytic) = 2.0010190661461108710226524270942
x1[1] (numeric) = 2.0010138772205654759679036479573
absolute error = 5.1889255453950547487791369e-06
relative error = 0.00025931414813496677538674515261068 %
h = 0.0001
x2[1] (analytic) = 1.0007938237648883989632216799219
x2[1] (numeric) = 1.0007966627490537735202936520884
absolute error = 2.8389841653745570719721665e-06
relative error = 0.00028367322998603014407741432031291 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3704.1MB, alloc=4.6MB, time=491.33
memory used=3707.9MB, alloc=4.6MB, time=491.61
NO POLE
NO POLE
t[1] = 0.569
x1[1] (analytic) = 2.0010189642445914208259928558409
x1[1] (numeric) = 2.0010137602400274679166681790661
absolute error = 5.2040045639529093246767748e-06
relative error = 0.00026006772833947044855799681231606 %
h = 0.0001
x2[1] (analytic) = 1.0007939315896636847394119453095
x2[1] (numeric) = 1.0007967791953084033757313071852
absolute error = 2.8476056447186363193618757e-06
relative error = 0.00028453466341422475499730768649235 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3711.7MB, alloc=4.6MB, time=491.88
NO POLE
NO POLE
t[1] = 0.5691
x1[1] (analytic) = 2.0010188623532616130837388615554
x1[1] (numeric) = 2.0010136432477753153131241821874
absolute error = 5.2191054862977706146793680e-06
relative error = 0.00026082240325110864375603908992643 %
h = 0.0001
x2[1] (analytic) = 1.0007940394411014129638216197812
x2[1] (numeric) = 1.0007968956824022067468487717005
absolute error = 2.8562413007937830271519193e-06
relative error = 0.00028539751319750722095119370161105 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3715.5MB, alloc=4.6MB, time=492.15
NO POLE
NO POLE
memory used=3719.3MB, alloc=4.6MB, time=492.43
t[1] = 0.5692
x1[1] (analytic) = 2.0010187604721204288825915177205
x1[1] (numeric) = 2.0010135262438078497385890500424
absolute error = 5.2342283125791440024676781e-06
relative error = 0.00026157817287750865518198028065427 %
h = 0.0001
x2[1] (analytic) = 1.0007941473192064071506253739525
x2[1] (numeric) = 1.0007970122103451060832421432173
absolute error = 2.8648911386989326167692648e-06
relative error = 0.00028626177984483822868331819279546 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3723.2MB, alloc=4.6MB, time=492.70
NO POLE
NO POLE
t[1] = 0.5693
x1[1] (analytic) = 2.0010186586011668494111381333155
x1[1] (numeric) = 2.001013409228123902658197185609
absolute error = 5.2493730429467529409477065e-06
relative error = 0.0002623350372263086445820022157568 %
h = 0.0001
x2[1] (analytic) = 1.0007942552239834918297454025723
x2[1] (numeric) = 1.0007971287791470259937322702956
absolute error = 2.8735551635341639868677233e-06
relative error = 0.00028712746386529225902681178260104 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3727.0MB, alloc=4.6MB, time=492.97
NO POLE
NO POLE
t[1] = 0.5694
x1[1] (analytic) = 2.001018556740399855959842064701
x1[1] (numeric) = 2.0010132922007223054208885215239
absolute error = 5.2645396775505389535431771e-06
relative error = 0.00026309299630515764131971184570706 %
h = 0.0001
x2[1] (analytic) = 1.0007943631554374925470494997778
x2[1] (numeric) = 1.0007972453888178932468139166534
absolute error = 2.8822333804006997644168756e-06
relative error = 0.00028799456576805761172290330734021 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3730.8MB, alloc=4.6MB, time=493.25
memory used=3734.6MB, alloc=4.6MB, time=493.52
NO POLE
NO POLE
t[1] = 0.5695
x1[1] (analytic) = 2.0010184548898184299210325285244
x1[1] (numeric) = 2.0010131751616018892593970383645
absolute error = 5.2797282165406616354901599e-06
relative error = 0.00026385205012171554244859827082512 %
h = 0.0001
x2[1] (analytic) = 1.0007944711135732358645491744777
x2[1] (numeric) = 1.0007973620393676367711050168801
absolute error = 2.8909257944009065558424024e-06
relative error = 0.00028886308606243643024513629636434 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3738.4MB, alloc=4.6MB, time=493.80
NO POLE
NO POLE
t[1] = 0.5696
x1[1] (analytic) = 2.0010183530494215527888944156428
x1[1] (numeric) = 2.001013058110761485290239281811
absolute error = 5.2949386600674986551338318e-06
relative error = 0.0002646121986836531127845950347883 %
h = 0.0001
x2[1] (analytic) = 1.0007945790983955493605978058711
x2[1] (numeric) = 1.0007974787308061876557960237018
absolute error = 2.8996324106382951982178307e-06
relative error = 0.00028973302525784472662858966022662 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3742.2MB, alloc=4.6MB, time=494.07
memory used=3746.1MB, alloc=4.6MB, time=494.35
NO POLE
NO POLE
t[1] = 0.5697
x1[1] (analytic) = 2.0010182512192082061594581060648
x1[1] (numeric) = 2.001012941048199924513702878688
absolute error = 5.3101710082816457552273768e-06
relative error = 0.00026537344199865198497874779128812 %
h = 0.0001
x2[1] (analytic) = 1.0007946871099092616300888391119
x2[1] (numeric) = 1.0007975954631434791510993468167
absolute error = 2.9083532342175210105077048e-06
relative error = 0.00029060438386381240630410336591935 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3749.9MB, alloc=4.6MB, time=494.63
NO POLE
NO POLE
t[1] = 0.5698
x1[1] (analytic) = 2.001018149399177371730589284911
x1[1] (numeric) = 2.0010128239739160378138350518863
absolute error = 5.3254252613339167542330247e-06
relative error = 0.00026613578007440465958998729918113 %
h = 0.0001
x2[1] (analytic) = 1.000794795148119202284654021125
x2[1] (numeric) = 1.0007977122363894466686988833184
absolute error = 2.9170882702443840448621934e-06
relative error = 0.00029147716238998329293751018710719 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3753.7MB, alloc=4.6MB, time=494.89
NO POLE
NO POLE
t[1] = 0.5699
x1[1] (analytic) = 2.0010180475893280313019787593924
x1[1] (numeric) = 2.0010127068879086559584311341639
absolute error = 5.3407014193753435476252285e-06
relative error = 0.00026689921291861450515800775645239 %
h = 0.0001
x2[1] (analytic) = 1.0007949032130302019528616765827
x2[1] (numeric) = 1.0007978290505540277821996397267
absolute error = 2.9258375238258293379631440e-06
relative error = 0.00029235136134611515327387458727438 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3757.5MB, alloc=4.6MB, time=495.17
memory used=3761.3MB, alloc=4.6MB, time=495.45
NO POLE
NO POLE
t[1] = 0.57
x1[1] (analytic) = 2.0010179457896591667751322768074
x1[1] (numeric) = 2.0010125897901766095990230808267
absolute error = 5.3559994825571761091959807e-06
relative error = 0.00026766374053899575827625048331051 %
h = 0.0001
x2[1] (analytic) = 1.0007950113046470922804150240494
x2[1] (numeric) = 1.0007979459056471622275774456434
absolute error = 2.9346010000699471624215940e-06
relative error = 0.00029322698124207972198673961382052 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3765.1MB, alloc=4.6MB, time=495.72
NO POLE
NO POLE
t[1] = 0.5701
x1[1] (analytic) = 2.0010178440001697601533603435571
x1[1] (numeric) = 2.0010124726807187292708679812889
absolute error = 5.3713194510308824923622682e-06
relative error = 0.00026842936294327352366499293974553 %
h = 0.0001
x2[1] (analytic) = 1.0007951194229747059303505323039
x2[1] (numeric) = 1.0007980628016787919036287590523
absolute error = 2.9433787040859732782267484e-06
relative error = 0.00029410402258786272653238273107239 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3768.9MB, alloc=4.6MB, time=495.99
memory used=3772.8MB, alloc=4.6MB, time=496.27
NO POLE
NO POLE
t[1] = 0.5702
x1[1] (analytic) = 2.001017742220858793541768045178
x1[1] (numeric) = 2.0010123555595338453929365695122
absolute error = 5.3866613249481488314756658e-06
relative error = 0.00026919608013918377424454307787371 %
h = 0.0001
x2[1] (analytic) = 1.0007952275680178765832363168437
x2[1] (numeric) = 1.0007981797386588608724205632814
absolute error = 2.9521706409842891842464377e-06
relative error = 0.00029498248589356391200908188986036 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3776.6MB, alloc=4.6MB, time=496.54
NO POLE
NO POLE
t[1] = 0.5703
x1[1] (analytic) = 2.0010176404517252491472448673932
x1[1] (numeric) = 2.0010122384266207882679017333246
absolute error = 5.4020251044608793431340686e-06
relative error = 0.00026996389213447335120853904438502 %
h = 0.0001
x2[1] (analytic) = 1.0007953357397814389373705765836
x2[1] (numeric) = 1.0007982967165973153597403556461
absolute error = 2.9609768158764223697790625e-06
relative error = 0.00029586237166939706602139242184275 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3780.4MB, alloc=4.6MB, time=496.82
NO POLE
NO POLE
t[1] = 0.5704
x1[1] (analytic) = 2.0010175386927681092784545181814
x1[1] (numeric) = 2.0010121212819783880821270226182
absolute error = 5.4174107897211963274955632e-06
relative error = 0.00027073279893689996409735422841968 %
h = 0.0001
x2[1] (analytic) = 1.0007954439382702287089800707537
x2[1] (numeric) = 1.0007984137355041037555462277918
absolute error = 2.9697972338750465661570381e-06
relative error = 0.00029674368042569004354943602619664 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3784.2MB, alloc=4.6MB, time=497.09
memory used=3788.0MB, alloc=4.6MB, time=497.37
NO POLE
NO POLE
t[1] = 0.5705
x1[1] (analytic) = 2.0010174369439863563458247508634
x1[1] (numeric) = 2.0010120041256054749056551564259
absolute error = 5.4328183808814401695944375e-06
relative error = 0.00027150280055423219087160764520236 %
h = 0.0001
x2[1] (analytic) = 1.0007955521634890826324186360058
x2[1] (numeric) = 1.0007985307953891766144170377543
absolute error = 2.9786319000939819984017485e-06
relative error = 0.00029762641267288479182320272657565 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3791.8MB, alloc=4.6MB, time=497.64
NO POLE
NO POLE
t[1] = 0.5706
x1[1] (analytic) = 2.0010173352053789728615371882063
x1[1] (numeric) = 2.0010118869575008786921965288772
absolute error = 5.4482478780941693406593291e-06
relative error = 0.00027227389699424947798577965575763 %
h = 0.0001
x2[1] (analytic) = 1.0007956604154428384603657437362
x2[1] (numeric) = 1.0007986478962624866560026737566
absolute error = 2.9874808196481956369300204e-06
relative error = 0.00029851056892153737520186679611339 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3795.6MB, alloc=4.6MB, time=497.91
memory used=3799.5MB, alloc=4.6MB, time=498.18
NO POLE
NO POLE
t[1] = 0.5707
x1[1] (analytic) = 2.0010172334769449414395171475456
x1[1] (numeric) = 2.0010117697776634292791177140326
absolute error = 5.4636992815121603994335130e-06
relative error = 0.00027304608826474214046193305801208 %
h = 0.0001
x2[1] (analytic) = 1.0007957686941363349640250976323
x2[1] (numeric) = 1.0007987650381339887654744097607
absolute error = 2.9963439976538014493121284e-06
relative error = 0.00029939614968231800005811770817681 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3803.3MB, alloc=4.6MB, time=498.45
NO POLE
NO POLE
t[1] = 0.5708
x1[1] (analytic) = 2.0010171317586832447954234669241
x1[1] (numeric) = 2.0010116525860919563874299695966
absolute error = 5.4791725912884079934973275e-06
relative error = 0.00027381937437351136196353949463488 %
h = 0.0001
x2[1] (analytic) = 1.000795876999574411933323271452
x2[1] (numeric) = 1.000798882221013639993975352793
absolute error = 3.0052214392280606520813410e-06
relative error = 0.00030028315546601103966750701067376 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3807.1MB, alloc=4.6MB, time=498.73
NO POLE
NO POLE
t[1] = 0.5709
x1[1] (analytic) = 2.0010170300505928657466383322486
x1[1] (numeric) = 2.0010115353827852896217777395097
absolute error = 5.4946678075761248605927389e-06
relative error = 0.00027459375532836919486941120792438 %
h = 0.0001
x2[1] (analytic) = 1.0007959853317619101771083870435
x2[1] (numeric) = 1.0007989994449113995590709820612
absolute error = 3.0141131494893819625950177e-06
relative error = 0.00030117158678351505910281209163697 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3810.9MB, alloc=4.6MB, time=498.99
memory used=3814.7MB, alloc=4.6MB, time=499.28
NO POLE
NO POLE
t[1] = 0.571
x1[1] (analytic) = 2.001016928352672787212257105464
x1[1] (numeric) = 2.0010114181677422584704271554184
absolute error = 5.5101849305287418299500456e-06
relative error = 0.00027536923113713856034773817204908 %
h = 0.0001
x2[1] (analytic) = 1.0007960936907036715233488326121
x2[1] (numeric) = 1.0007991167098372288451997798821
absolute error = 3.0230191335573218509472700e-06
relative error = 0.0003020614441458428401334180535814 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3818.5MB, alloc=4.6MB, time=499.56
NO POLE
NO POLE
t[1] = 0.5711
x1[1] (analytic) = 2.0010168266649219922130781537437
x1[1] (numeric) = 2.0010113009409616923052545370238
absolute error = 5.5257239602999078236167199e-06
relative error = 0.00027614580180765324843023051800927 %
h = 0.0001
x2[1] (analytic) = 1.0007962020764045388193320212452
x2[1] (numeric) = 1.0007992340158010914041239544381
absolute error = 3.0319393965525847919331929e-06
relative error = 0.00030295272806412140612971829459663 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3822.3MB, alloc=4.6MB, time=499.83
memory used=3826.2MB, alloc=4.6MB, time=500.10
NO POLE
NO POLE
t[1] = 0.5712
x1[1] (analytic) = 2.0010167249873394638715926796981
x1[1] (numeric) = 2.0010111837024424203817348913085
absolute error = 5.5412848970434898577883896e-06
relative error = 0.00027692346734775791808636635658908 %
h = 0.0001
x2[1] (analytic) = 1.0007963104888693559318631896993
x2[1] (numeric) = 1.0007993513628129529553802543813
absolute error = 3.0408739435970235170646820e-06
relative error = 0.00030384543904959204697253524343537 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3830.0MB, alloc=4.6MB, time=500.37
NO POLE
NO POLE
t[1] = 0.5713
x1[1] (analytic) = 2.001016623319924185411974552599
x1[1] (numeric) = 2.0010110664521832718389304106412
absolute error = 5.5568677409135730441419578e-06
relative error = 0.00027770222776530809729774491966265 %
h = 0.0001
x2[1] (analytic) = 1.0007964189281029677474642374616
x2[1] (numeric) = 1.0007994687508827813867308753039
absolute error = 3.0498227798136392666378423e-06
relative error = 0.00030473957761361034396756179654561 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3833.8MB, alloc=4.6MB, time=500.64
NO POLE
NO POLE
memory used=3837.6MB, alloc=4.6MB, time=500.91
t[1] = 0.5714
x1[1] (analytic) = 2.0010165216626751401600701406219
x1[1] (numeric) = 2.0010109491901830756994789697602
absolute error = 5.5724724920644605911708617e-06
relative error = 0.00027848208306817018313254506015716 %
h = 0.0001
x2[1] (analytic) = 1.0007965273941102201725726060899
x2[1] (numeric) = 1.0007995861800205467546144580928
absolute error = 3.0587859103265820418520029e-06
relative error = 0.00030563514426764619476482481432526 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3841.4MB, alloc=4.6MB, time=501.19
NO POLE
NO POLE
t[1] = 0.5715
x1[1] (analytic) = 2.0010164200155913115433881441039
x1[1] (numeric) = 2.0010108319164406608695826216339
absolute error = 5.5880991506506738055224700e-06
relative error = 0.00027926303326422144182008909100578 %
h = 0.0001
x2[1] (analytic) = 1.0007966358868959601337401988416
x2[1] (numeric) = 1.0007997036502362212845971791876
absolute error = 3.0677633402611508569803460e-06
relative error = 0.00030653213952328383828317145431067 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3845.2MB, alloc=4.6MB, time=501.47
NO POLE
NO POLE
t[1] = 0.5716
x1[1] (analytic) = 2.0010163183786716830910894298192
x1[1] (numeric) = 2.0010107146309548561389960921997
absolute error = 5.6037477168269520933376195e-06
relative error = 0.00028004507836135000882551199339813 %
h = 0.0001
x2[1] (analytic) = 1.0007967444064650355778323405993
x2[1] (numeric) = 1.0007998211615397793718239327604
absolute error = 3.0767550747437939915921611e-06
relative error = 0.00030743056389222187963977936878544 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3849.1MB, alloc=4.6MB, time=501.74
memory used=3852.9MB, alloc=4.6MB, time=502.02
NO POLE
NO POLE
t[1] = 0.5717
x1[1] (analytic) = 2.0010162167519152384339768662705
x1[1] (numeric) = 2.0010105973337244901810152739807
absolute error = 5.6194181907482529615922898e-06
relative error = 0.00028082821836745488892453593967907 %
h = 0.0001
x2[1] (analytic) = 1.0007968529528222954722267780999
x2[1] (numeric) = 1.0007999387139411975814696048353
absolute error = 3.0857611189021092428267354e-06
relative error = 0.00030833041788627331508469180426151 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3856.7MB, alloc=4.6MB, time=502.30
NO POLE
NO POLE
t[1] = 0.5718
x1[1] (analytic) = 2.001016115135320961304485159997
x1[1] (numeric) = 2.0010104800247483915524657185794
absolute error = 5.6351105725697520194414176e-06
relative error = 0.0002816124532904459562783502061804 %
h = 0.0001
x2[1] (analytic) = 1.0007969615259725898050127204764
x2[1] (numeric) = 1.0008000563074504546491904393674
absolute error = 3.0947814778648441777188910e-06
relative error = 0.00030923170201736555694037860028843 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3860.5MB, alloc=4.6MB, time=502.57
memory used=3864.3MB, alloc=4.6MB, time=502.85
NO POLE
NO POLE
t[1] = 0.5719
x1[1] (analytic) = 2.0010160135288878355366706928989
x1[1] (numeric) = 2.0010103627040253886936911280496
absolute error = 5.6508248624468429795648493e-06
relative error = 0.00028239778313824395450859641134126 %
h = 0.0001
x2[1] (analytic) = 1.0007970701259207695851899201201
x2[1] (numeric) = 1.0008001739420775314815754962984
absolute error = 3.1038161567618963855761783e-06
relative error = 0.00031013441679754045854632396511611 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3868.1MB, alloc=4.6MB, time=503.12
NO POLE
NO POLE
t[1] = 0.572
x1[1] (analytic) = 2.0010159119326148450662013605777
x1[1] (numeric) = 2.0010102453715543099285418451453
absolute error = 5.6665610605351376595154324e-06
relative error = 0.00028318420791878049677245910442698 %
h = 0.0001
x2[1] (analytic) = 1.0007971787526716868428677938712
x2[1] (numeric) = 1.0008002916178324111565982016086
absolute error = 3.1128651607243137304077374e-06
relative error = 0.00031103856273895433920864214551788 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3871.9MB, alloc=4.6MB, time=503.40
NO POLE
NO POLE
t[1] = 0.5721
x1[1] (analytic) = 2.0010158103465009739303464116931
x1[1] (numeric) = 2.0010101280273339834643633424469
absolute error = 5.6823191669904659830692462e-06
relative error = 0.0002839717276399980658378617301564 %
h = 0.0001
x2[1] (analytic) = 1.0007972874062301946294645845448
x2[1] (numeric) = 1.0008004093347250789240679893835
absolute error = 3.1219284948842946034048387e-06
relative error = 0.00031194414035387800915472204810214 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3875.8MB, alloc=4.6MB, time=503.67
memory used=3879.6MB, alloc=4.6MB, time=503.95
NO POLE
NO POLE
t[1] = 0.5722
x1[1] (analytic) = 2.0010157087705452062679662883356
x1[1] (numeric) = 2.0010100106713632373919847103649
absolute error = 5.6980991819688759815779707e-06
relative error = 0.000284760342309850014158767914588 %
h = 0.0001
x2[1] (analytic) = 1.0007973960866011470179065628026
x2[1] (numeric) = 1.0008005270927655222060820359128
absolute error = 3.1310061643751881754731102e-06
relative error = 0.00031285115015469679449290149970732 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3883.4MB, alloc=4.6MB, time=504.22
NO POLE
NO POLE
t[1] = 0.5723
x1[1] (analytic) = 2.0010156072047465263195024674152
x1[1] (numeric) = 2.0010098933036408996857071440203
absolute error = 5.7139011056266337953233949e-06
relative error = 0.00028555005193630056395058813255677 %
h = 0.0001
x2[1] (analytic) = 1.0007975047937893991028272693761
x2[1] (numeric) = 1.0008006448919637305974770858413
absolute error = 3.1400981743314946498164652e-06
relative error = 0.00031375959265391056217717245395575 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3887.2MB, alloc=4.6MB, time=504.50
memory used=3891.0MB, alloc=4.6MB, time=504.78
NO POLE
NO POLE
t[1] = 0.5724
x1[1] (analytic) = 2.0010155056491039184269673030655
x1[1] (numeric) = 2.0010097759241657982032924290023
absolute error = 5.7297249381202236748740632e-06
relative error = 0.0002863408565273248072656916920173 %
h = 0.0001
x2[1] (analytic) = 1.0007976135277998070007667976504
x2[1] (numeric) = 1.0008007627323296958662813703904
absolute error = 3.1492045298888655145727400e-06
relative error = 0.00031466946836413374497691804134029 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3894.8MB, alloc=4.6MB, time=505.05
NO POLE
NO POLE
t[1] = 0.5725
x1[1] (analytic) = 2.0010154041036163670339338700642
x1[1] (numeric) = 2.0010096585329367606859514260025
absolute error = 5.7455706796063479824440617e-06
relative error = 0.00028713275609090870606902412556945 %
h = 0.0001
x2[1] (analytic) = 1.0007977222886372278503711166163
x2[1] (numeric) = 1.0008008806138734119541666176677
absolute error = 3.1583252361841037955010514e-06
relative error = 0.00031558077779809536645168238017535 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3898.6MB, alloc=4.6MB, time=505.33
NO POLE
NO POLE
t[1] = 0.5726
x1[1] (analytic) = 2.0010153025682828566855258082685
x1[1] (numeric) = 2.0010095411299526147583325543263
absolute error = 5.7614383302419271932539422e-06
relative error = 0.00028792575063504909231382987954496 %
h = 0.0001
x2[1] (analytic) = 1.0007978310763065198125914341992
x2[1] (numeric) = 1.0008009985366048749769001550842
absolute error = 3.1674602983551643087208850e-06
relative error = 0.00031649352146863906593097418562095 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3902.5MB, alloc=4.6MB, time=505.60
memory used=3906.3MB, alloc=4.6MB, time=505.88
NO POLE
NO POLE
t[1] = 0.5727
x1[1] (analytic) = 2.0010152010431023720284071680665
x1[1] (numeric) = 2.0010094237152121879285102742807
absolute error = 5.7773278901840998968937858e-06
relative error = 0.00028871984016775366801748039592877 %
h = 0.0001
x2[1] (analytic) = 1.000797939890812542070883600972
x2[1] (numeric) = 1.0008011165005340832247971038974
absolute error = 3.1766097215411539135029254e-06
relative error = 0.00031740769988872312349910522395393 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3910.1MB, alloc=4.6MB, time=506.15
NO POLE
NO POLE
t[1] = 0.5728
x1[1] (analytic) = 2.001015099528073897810772256844
x1[1] (numeric) = 2.0010093062887143075879735684385
absolute error = 5.7932393595902227986884055e-06
relative error = 0.00028951502469704100533740755745232 %
h = 0.0001
x2[1] (analytic) = 1.0007980487321601548314075542607
x2[1] (numeric) = 1.0008012345056710371631726658991
absolute error = 3.1857735108823317651116384e-06
relative error = 0.00031832331357142048498506455931257 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3913.9MB, alloc=4.6MB, time=506.43
memory used=3917.7MB, alloc=4.6MB, time=506.71
NO POLE
NO POLE
t[1] = 0.5729
x1[1] (analytic) = 2.001014998023196418882335486466
x1[1] (numeric) = 2.0010091888504578010116144217794
absolute error = 5.8091727386178707210646866e-06
relative error = 0.00029031130423094054664714243621158 %
h = 0.0001
x2[1] (analytic) = 1.0007981576003542193232268026507
x2[1] (numeric) = 1.0008013525520257394327945022659
absolute error = 3.1949516715201095676996152e-06
relative error = 0.00031924036302991878695742953012206 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3921.5MB, alloc=4.6MB, time=506.98
NO POLE
NO POLE
t[1] = 0.573
x1[1] (analytic) = 2.0010148965284689201943212217741
x1[1] (numeric) = 2.001009071400441495357716300707
absolute error = 5.8251280274248366049210671e-06
relative error = 0.00029110867877749260461245945607562 %
h = 0.0001
x2[1] (analytic) = 1.0007982664953995977985079509009
x2[1] (numeric) = 1.0008014706396081948503352045918
absolute error = 3.2041442085970518272536909e-06
relative error = 0.00032015884877752038172431462219816 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3925.3MB, alloc=4.6MB, time=507.26
NO POLE
NO POLE
t[1] = 0.5731
x1[1] (analytic) = 2.0010147950438903867994536300988
x1[1] (numeric) = 2.0010089539386642176679426309422
absolute error = 5.8411052261691315109991566e-06
relative error = 0.00029190714834474836226762589424593 %
h = 0.0001
x2[1] (analytic) = 1.0007983754173011535327202652758
x2[1] (numeric) = 1.0008015887684284104088248581208
absolute error = 3.2133511272568761045928450e-06
relative error = 0.00032107877132764236233835894586506 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3929.2MB, alloc=4.6MB, time=507.54
memory used=3933.0MB, alloc=4.6MB, time=507.82
NO POLE
NO POLE
t[1] = 0.5732
x1[1] (analytic) = 2.0010146935694598038519465317866
x1[1] (numeric) = 2.0010088364651247948673252742928
absolute error = 5.8571043350089846212574938e-06
relative error = 0.0002927067129407698730917567272857 %
h = 0.0001
x2[1] (analytic) = 1.0007984843660637508248352793002
x2[1] (numeric) = 1.0008017069384963952781036971986
absolute error = 3.2225724326444532684178984e-06
relative error = 0.00032200013119381658760675370385605 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3936.8MB, alloc=4.6MB, time=508.09
NO POLE
NO POLE
t[1] = 0.5733
x1[1] (analytic) = 2.0010145921051761566074932517422
x1[1] (numeric) = 2.0010087189798220537642530042989
absolute error = 5.8731253541028432402474433e-06
relative error = 0.00029350737257363006108527485692315 %
h = 0.0001
x2[1] (analytic) = 1.0007985933416922549975264399487
x2[1] (numeric) = 1.0008018251498221608052748529616
absolute error = 3.2318081299058077484130129e-06
relative error = 0.00032292292888968970710631018741361 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3940.6MB, alloc=4.6MB, time=508.38
memory used=3944.4MB, alloc=4.6MB, time=508.66
NO POLE
NO POLE
t[1] = 0.5734
x1[1] (analytic) = 2.0010144906510384304232564719854
x1[1] (numeric) = 2.0010086014827548210504599807547
absolute error = 5.8891682836093727964912307e-06
relative error = 0.00029430912725141272084647666597584 %
h = 0.0001
x2[1] (analytic) = 1.0007987023441915323973687942744
x2[1] (numeric) = 1.0008019434024157205151571932823
absolute error = 3.2410582241881177883990079e-06
relative error = 0.00032384716492902318620356970728769 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3948.2MB, alloc=4.6MB, time=508.93
NO POLE
NO POLE
t[1] = 0.5735
x1[1] (analytic) = 2.0010143892070456107578580852226
x1[1] (numeric) = 2.0010084839739219233010142231052
absolute error = 5.9052331236874568438621174e-06
relative error = 0.00029511197698221251764820297468231 %
h = 0.0001
x2[1] (analytic) = 1.0007988113735664503950387164865
x2[1] (numeric) = 1.0008020616962870901107382549891
absolute error = 3.2503227206397156995385026e-06
relative error = 0.00032477283982569333107995622681187 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3952.0MB, alloc=4.6MB, time=509.21
NO POLE
NO POLE
memory used=3955.9MB, alloc=4.6MB, time=509.49
t[1] = 0.5736
x1[1] (analytic) = 2.0010142877731966831713690494332
x1[1] (numeric) = 2.0010083664533221869743060827196
absolute error = 5.9213198744961970629667136e-06
relative error = 0.00029591592177413498751461532280048 %
h = 0.0001
x2[1] (analytic) = 1.0007989204298218773855136754853
x2[1] (numeric) = 1.0008021800314462874736272683798
absolute error = 3.2596016244100881135928945e-06
relative error = 0.0003256999540936913137619727140115 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3959.7MB, alloc=4.6MB, time=509.76
NO POLE
NO POLE
t[1] = 0.5737
x1[1] (analytic) = 2.0010141863494906333252992434703
x1[1] (numeric) = 2.0010082489209544384120367140396
absolute error = 5.9374285361949132625294307e-06
relative error = 0.00029672096163529653729807763776406 %
h = 0.0001
x2[1] (analytic) = 1.0007990295129626827882720428617
x2[1] (numeric) = 1.0008022984079033326645082740469
absolute error = 3.2688949406498762362311852e-06
relative error = 0.00032662850824712319715644224965509 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3963.5MB, alloc=4.6MB, time=510.03
NO POLE
NO POLE
t[1] = 0.5738
x1[1] (analytic) = 2.0010140849359264469825873236757
x1[1] (numeric) = 2.0010081313768175038392065446036
absolute error = 5.9535591089431433807790721e-06
relative error = 0.00029752709657382444475614323924368 %
h = 0.0001
x2[1] (analytic) = 1.0007991386229937370474929413688
x2[1] (numeric) = 1.0008024168256682479235933320334
absolute error = 3.2782026745108761003906646e-06
relative error = 0.00032755850280020996009079493812481 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3967.3MB, alloc=4.6MB, time=510.30
memory used=3971.1MB, alloc=4.6MB, time=510.58
NO POLE
NO POLE
t[1] = 0.5739
x1[1] (analytic) = 2.0010139835325031100075905815091
x1[1] (numeric) = 2.0010080138209102093641037439459
absolute error = 5.9697115929006434868375632e-06
relative error = 0.00029833432659785685862864722041396 %
h = 0.0001
x2[1] (analytic) = 1.000799247759919911632256133876
x2[1] (numeric) = 1.000802535284751057671075823338
absolute error = 3.2875248311460388196894620e-06
relative error = 0.00032848993826728752235840140816168 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3974.9MB, alloc=4.6MB, time=510.85
NO POLE
NO POLE
t[1] = 0.574
x1[1] (analytic) = 2.0010138821392196083660748021921
x1[1] (numeric) = 2.0010078962532313809782926913716
absolute error = 5.9858859882273877821108205e-06
relative error = 0.00029914265171554279871490420125016 %
h = 0.0001
x2[1] (analytic) = 1.0007993569237460790367419528101
x2[1] (numeric) = 1.0008026537851617885075838437882
absolute error = 3.2968614157094708418909781e-06
relative error = 0.00032942281516280676976895424007646 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3978.8MB, alloc=4.6MB, time=511.13
memory used=3982.6MB, alloc=4.6MB, time=511.40
NO POLE
NO POLE
t[1] = 0.5741
x1[1] (analytic) = 2.0010137807560749281252041243655
x1[1] (numeric) = 2.0010077786737798445566024426061
absolute error = 6.0020822950835686016817594e-06
relative error = 0.00029995207193504215595101143418619 %
h = 0.0001
x2[1] (analytic) = 1.0007994661144771127804312700951
x2[1] (numeric) = 1.0008027723269104692146336902996
absolute error = 3.3062124333564342024202045e-06
relative error = 0.0003303571340013335792038979165787 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3986.4MB, alloc=4.6MB, time=511.68
NO POLE
NO POLE
t[1] = 0.5742
x1[1] (analytic) = 2.0010136793830680554535309007611
x1[1] (numeric) = 2.0010076610825544258571151953203
absolute error = 6.0183005136295964157054408e-06
relative error = 0.00030076258726452569248725726745222 %
h = 0.0001
x2[1] (analytic) = 1.0007995753321178874083055075959
x2[1] (numeric) = 1.0008028909100071307550834395409
absolute error = 3.3155778892433467779319450e-06
relative error = 0.00033129289529754884367690866373654 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3990.2MB, alloc=4.6MB, time=511.94
NO POLE
NO POLE
t[1] = 0.5743
x1[1] (analytic) = 2.001013578020197976620985559887
x1[1] (numeric) = 2.0010075434795539505211547535303
absolute error = 6.0345406440260998308063567e-06
relative error = 0.00030157419771217504176563497640837 %
h = 0.0001
x2[1] (analytic) = 1.0007996845766732784910466880758
x2[1] (numeric) = 1.0008030095344618062735866190222
absolute error = 3.3249577885277825399309464e-06
relative error = 0.000332230099566248497399424889078 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3994.0MB, alloc=4.6MB, time=512.22
memory used=3997.8MB, alloc=4.7MB, time=512.49
NO POLE
NO POLE
t[1] = 0.5744
x1[1] (analytic) = 2.0010134766674636779988664687272
x1[1] (numeric) = 2.0010074258647772440732749908721
absolute error = 6.0508026864339255914778551e-06
relative error = 0.00030238690328618270859746197818755 %
h = 0.0001
x2[1] (analytic) = 1.0007997938481481626252375266741
x2[1] (numeric) = 1.0008031282002845310970459706258
absolute error = 3.3343521363684718084439517e-06
relative error = 0.0003331687473223435408512294434033 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4001.6MB, alloc=4.7MB, time=512.76
NO POLE
NO POLE
t[1] = 0.5745
x1[1] (analytic) = 2.0010133753248641460598297964545
x1[1] (numeric) = 2.0010073082382231319212483127509
absolute error = 6.0670866410141385814837036e-06
relative error = 0.00030320070399475206924110439998403 %
h = 0.0001
x2[1] (analytic) = 1.0007999031465474174335615629145
x2[1] (numeric) = 1.0008032469074853427350673065984
absolute error = 3.3437609379253015057436839e-06
relative error = 0.00033410883908086006585608446322451 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4005.5MB, alloc=4.7MB, time=513.03
memory used=4009.3MB, alloc=4.7MB, time=513.31
NO POLE
NO POLE
t[1] = 0.5746
x1[1] (analytic) = 2.0010132739923983673778793791567
x1[1] (numeric) = 2.0010071905998904393560541173654
absolute error = 6.0833925079280218252617913e-06
relative error = 0.00030401559984609737147980698131864 %
h = 0.0001
x2[1] (analytic) = 1.0008000124718759215650033332491
x2[1] (numeric) = 1.0008033656560742808804134580227
absolute error = 3.3531841983593154101247736e-06
relative error = 0.00033505037535693928066242005032401 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4013.1MB, alloc=4.7MB, time=513.58
NO POLE
NO POLE
t[1] = 0.5747
x1[1] (analytic) = 2.0010131726700653286283565855772
x1[1] (numeric) = 2.0010070729497779915518672556061
absolute error = 6.0997202873370764893299711e-06
relative error = 0.00030483159084844373469962841554816 %
h = 0.0001
x2[1] (analytic) = 1.0008001218241385546950485841491
x2[1] (numeric) = 1.0008034844460613874094583157877
absolute error = 3.3626219228327144097316386e-06
relative error = 0.0003359933566658375350290775452935 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4016.9MB, alloc=4.7MB, time=513.86
NO POLE
NO POLE
t[1] = 0.5748
x1[1] (analytic) = 2.0010130713578640165879301838679
x1[1] (numeric) = 2.0010069552878846135660464898285
absolute error = 6.1160699794030218836940394e-06
relative error = 0.00030564867701002714996748198101606 %
h = 0.0001
x2[1] (analytic) = 1.0008002312033401975258845257472
x2[1] (numeric) = 1.000803603277456706382640964076
absolute error = 3.3720741165088567564383288e-06
relative error = 0.00033693778352292634531610866148238 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4020.7MB, alloc=4.7MB, time=514.14
memory used=4024.5MB, alloc=4.7MB, time=514.41
NO POLE
NO POLE
t[1] = 0.5749
x1[1] (analytic) = 2.0010129700557934181345862093563
x1[1] (numeric) = 2.0010068376142091303391229515002
absolute error = 6.1324415842877954632578561e-06
relative error = 0.00030646685833909448010928160709152 %
h = 0.0001
x2[1] (analytic) = 1.0008003406094857317866001260438
x2[1] (numeric) = 1.0008037221502702840449199063864
absolute error = 3.3815407845522583197803426e-06
relative error = 0.00033788365644369241958063103632238 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4028.3MB, alloc=4.7MB, time=514.68
NO POLE
NO POLE
t[1] = 0.575
x1[1] (analytic) = 2.001012868763852520247617833325
x1[1] (numeric) = 2.0010067199287503666947885977224
absolute error = 6.1488351021535528292356026e-06
relative error = 0.00030728613484390345978819326047593 %
h = 0.0001
x2[1] (analytic) = 1.0008004500425800402333864456798
x2[1] (numeric) = 1.0008038410645121688262273841119
absolute error = 3.3910219321285928409384321e-06
relative error = 0.00033883097594373768267774186608364 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4032.2MB, alloc=4.7MB, time=514.95
memory used=4036.0MB, alloc=4.7MB, time=515.23
NO POLE
NO POLE
t[1] = 0.5751
x1[1] (analytic) = 2.0010127674820403100076152328048
x1[1] (numeric) = 2.0010066022315071473398846666257
absolute error = 6.1652505331626677305661791e-06
relative error = 0.00030810650653272269558299171706445 %
h = 0.0001
x2[1] (analytic) = 1.0008005595026280066497370132897
x2[1] (numeric) = 1.0008039600201924113419237876896
absolute error = 3.4005175644046921867743999e-06
relative error = 0.00033977974253877930136648984124578 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4039.8MB, alloc=4.7MB, time=515.50
NO POLE
NO POLE
t[1] = 0.5752
x1[1] (analytic) = 2.0010126662103557745964554613805
x1[1] (numeric) = 2.0010064845224782968643901316395
absolute error = 6.1816878774777320653297410e-06
relative error = 0.00030892797341383166606652270968832 %
h = 0.0001
x2[1] (analytic) = 1.0008006689896345158466482414384
x2[1] (numeric) = 1.0008040790173210643932521603435
absolute error = 3.4100276865485466039189051e-06
relative error = 0.00034072995674464970942090707846041 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4043.6MB, alloc=4.7MB, time=515.77
NO POLE
NO POLE
memory used=4047.4MB, alloc=4.7MB, time=516.05
t[1] = 0.5753
x1[1] (analytic) = 2.0010125649487979012972923210099
x1[1] (numeric) = 2.0010063668016626397414101546354
absolute error = 6.1981471352615558821663745e-06
relative error = 0.0003097505354955207218842704570558 %
h = 0.0001
x2[1] (analytic) = 1.0008007785036044536628198831524
x2[1] (numeric) = 1.0008041980559081829677927944368
absolute error = 3.4195523037293049729112844e-06
relative error = 0.00034168161907729663274610157598721 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4051.2MB, alloc=4.7MB, time=516.33
NO POLE
NO POLE
t[1] = 0.5754
x1[1] (analytic) = 2.0010124636973656774945462348551
x1[1] (numeric) = 2.0010062490690590003271645379446
absolute error = 6.2146283066771673816969105e-06
relative error = 0.00031057419278609108583303052923507 %
h = 0.0001
x2[1] (analytic) = 1.0008008880445427069648555290528
x2[1] (numeric) = 1.000804317135963824239917920454
absolute error = 3.4290914211172750623914012e-06
relative error = 0.00034263473005278311449941141889969 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4055.0MB, alloc=4.7MB, time=516.60
NO POLE
NO POLE
t[1] = 0.5755
x1[1] (analytic) = 2.0010123624560580906738941211265
x1[1] (numeric) = 2.0010061313246662028609761752487
absolute error = 6.2311313918878129179458778e-06
relative error = 0.00031139894529385485293968809997415 %
h = 0.0001
x2[1] (analytic) = 1.0008009976124541636474631450982
x2[1] (numeric) = 1.0008044362574980475712464886305
absolute error = 3.4386450438839237833435323e-06
relative error = 0.00034358929018728754021662163059334 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4058.9MB, alloc=4.7MB, time=516.87
memory used=4062.7MB, alloc=4.7MB, time=517.16
NO POLE
NO POLE
t[1] = 0.5756
x1[1] (analytic) = 2.0010122612248741284222592679402
x1[1] (numeric) = 2.0010060135684830714652595013442
absolute error = 6.2476563910569569997665960e-06
relative error = 0.00031222479302713499054010160616781 %
h = 0.0001
x2[1] (analytic) = 1.0008011072073437126336556509448
x2[1] (numeric) = 1.0008045554205209145110990432488
absolute error = 3.4482131772018774433923040e-06
relative error = 0.0003445452999971036629432447869254 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4066.5MB, alloc=4.7MB, time=517.43
NO POLE
NO POLE
t[1] = 0.5757
x1[1] (analytic) = 2.0010121600038127784278012091866
x1[1] (numeric) = 2.0010058958005084301455089407803
absolute error = 6.2642033043482822922684063e-06
relative error = 0.00031305173599426533835809172483761 %
h = 0.0001
x2[1] (analytic) = 1.0008012168292162438749515389335
x2[1] (numeric) = 1.00080467462504248879695268962
absolute error = 3.4577958262449220011506865e-06
relative error = 0.00034550275999864062837086621951963 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4070.3MB, alloc=4.7MB, time=517.70
memory used=4074.1MB, alloc=4.7MB, time=517.98
NO POLE
NO POLE
t[1] = 0.5758
x1[1] (analytic) = 2.0010120587928730284799056014122
x1[1] (numeric) = 2.0010057780207411027902873553703
absolute error = 6.2807721319256896182460419e-06
relative error = 0.00031387977420359060858453575290195 %
h = 0.0001
x2[1] (analytic) = 1.0008013264780766483515755337103
x2[1] (numeric) = 1.0008047938710728363548961537691
absolute error = 3.4673929961880033206200588e-06
relative error = 0.00034646167070842299997855496447921 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4077.9MB, alloc=4.7MB, time=518.26
NO POLE
NO POLE
t[1] = 0.5759
x1[1] (analytic) = 2.0010119575920538664691741017137
x1[1] (numeric) = 2.001005660229179913171214490576
absolute error = 6.2973628739532979596111377e-06
relative error = 0.00031470890766346638595656737506395 %
h = 0.0001
x2[1] (analytic) = 1.0008014361539298180726592924889
x2[1] (numeric) = 1.000804913158622025300084934843
absolute error = 3.4770046922072274256423541e-06
relative error = 0.00034742203264309078417934139289834 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4081.8MB, alloc=4.7MB, time=518.54
NO POLE
NO POLE
t[1] = 0.576
x1[1] (analytic) = 2.0010118564013542803874142466435
x1[1] (numeric) = 2.0010055424258236849429554207654
absolute error = 6.3139755305954444588258781e-06
relative error = 0.00031553913638225912783688176016761 %
h = 0.0001
x2[1] (analytic) = 1.0008015458567806460764421459638
x2[1] (numeric) = 1.0008050324877001259371965502599
absolute error = 3.4866309194798607544042961e-06
relative error = 0.00034838384631939945547176249950441 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4085.6MB, alloc=4.7MB, time=518.81
memory used=4089.4MB, alloc=4.7MB, time=519.09
NO POLE
NO POLE
t[1] = 0.5761
x1[1] (analytic) = 2.0010117552207732583276293321282
x1[1] (numeric) = 2.0010054246106712416432089933434
absolute error = 6.3306101020166844203387848e-06
relative error = 0.00031637046036834616429314608129407 %
h = 0.0001
x2[1] (analytic) = 1.0008016555866340264304718798815
x2[1] (numeric) = 1.0008051518583172107608858736185
absolute error = 3.4962716831843304139937370e-06
relative error = 0.00034934711225421998159647586570305 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4093.2MB, alloc=4.7MB, time=519.37
NO POLE
NO POLE
t[1] = 0.5762
x1[1] (analytic) = 2.0010116540503097884840082943984
x1[1] (numeric) = 2.0010053067837214066926962717552
absolute error = 6.3472665883817913120226432e-06
relative error = 0.00031720287963011569817751538995344 %
h = 0.0001
x2[1] (analytic) = 1.0008017653434948542318055572781
x2[1] (numeric) = 1.0008052712704833544562405653863
absolute error = 3.5059269885002244350081082e-06
relative error = 0.00035031183096453884869794333325474 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4097.0MB, alloc=4.7MB, time=519.64
memory used=4100.8MB, alloc=4.7MB, time=519.91
NO POLE
NO POLE
t[1] = 0.5763
x1[1] (analytic) = 2.0010115528899628591519155919308
x1[1] (numeric) = 2.0010051889449730033951489773628
absolute error = 6.3639449898557567666145680e-06
relative error = 0.00031803639417596680520625387467667 %
h = 0.0001
x2[1] (analytic) = 1.000801875127368025607210381391
x2[1] (numeric) = 1.0008053907242086338992365963851
absolute error = 3.5155968406082920262149941e-06
relative error = 0.00035127800296745808649118536483277 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4104.6MB, alloc=4.7MB, time=520.20
NO POLE
NO POLE
t[1] = 0.5764
x1[1] (analytic) = 2.0010114517397314587278810884015
x1[1] (numeric) = 2.0010050710944248549372979301942
absolute error = 6.3806453066037905831582073e-06
relative error = 0.00031887100401430943403946146934529 %
h = 0.0001
x2[1] (analytic) = 1.000801984938258437713364599254
x2[1] (numeric) = 1.000805510219503128157193864093
absolute error = 3.5252812446904438292648390e-06
relative error = 0.00035224562878019529343360702771595 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4108.5MB, alloc=4.7MB, time=520.46
NO POLE
NO POLE
t[1] = 0.5765
x1[1] (analytic) = 2.0010113505996145757095899366516
x1[1] (numeric) = 2.0010049532320757843888614885649
absolute error = 6.3973675387913207284480867e-06
relative error = 0.00031970670915356440636090588654053 %
h = 0.0001
x2[1] (analytic) = 1.000802094776170988737058445982
x2[1] (numeric) = 1.000805629756376918489231901781
absolute error = 3.5349802059297521734557990e-06
relative error = 0.00035321470892008366190189672669123 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4112.3MB, alloc=4.7MB, time=520.74
memory used=4116.1MB, alloc=4.7MB, time=521.02
NO POLE
NO POLE
t[1] = 0.5766
x1[1] (analytic) = 2.0010112494696111986958724636638
x1[1] (numeric) = 2.0010048353579246147025339875722
absolute error = 6.4141116865839933384760916e-06
relative error = 0.00032054350960216341695795998627707 %
h = 0.0001
x2[1] (analytic) = 1.0008022046411105778953951297549
x2[1] (numeric) = 1.0008057493348400883467256805036
absolute error = 3.5446937295104513305507487e-06
relative error = 0.00035418524390457200337399860238082 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4119.9MB, alloc=4.7MB, time=521.29
NO POLE
NO POLE
t[1] = 0.5767
x1[1] (analytic) = 2.001011148349720316386694056551
x1[1] (numeric) = 2.0010047174719701687139741764617
absolute error = 6.4308777501476727198800893e-06
relative error = 0.0003213814053685490338016445604007 %
h = 0.0001
x2[1] (analytic) = 1.0008023145330821054359918575086
x2[1] (numeric) = 1.0008058689549027233737615039615
absolute error = 3.5544218206179377696464529e-06
relative error = 0.00035515723425122477361615955114962 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4123.7MB, alloc=4.7MB, time=521.56
memory used=4127.5MB, alloc=4.7MB, time=521.84
NO POLE
NO POLE
t[1] = 0.5768
x1[1] (analytic) = 2.0010110472399409175831450495556
x1[1] (numeric) = 2.0010045995742112691417936548662
absolute error = 6.4476657296484413513946894e-06
relative error = 0.00032222039646117469812677645800727 %
h = 0.0001
x2[1] (analytic) = 1.0008024244520904726371809013401
x2[1] (numeric) = 1.0008059886165749114075929962558
absolute error = 3.5641644844387704120949157e-06
relative error = 0.00035613068047772209787505204254499 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4131.3MB, alloc=4.7MB, time=522.11
NO POLE
NO POLE
t[1] = 0.5769
x1[1] (analytic) = 2.0010109461402719911874306120607
x1[1] (numeric) = 2.0010044816646467385875453079168
absolute error = 6.4644756252525998853041439e-06
relative error = 0.00032306048288850472451222212216692 %
h = 0.0001
x2[1] (analytic) = 1.0008025343981405818082107056362
x2[1] (numeric) = 1.0008061083198667424790971825517
absolute error = 3.5739217261606708864769155e-06
relative error = 0.00035710558310185979607497352050548 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4135.2MB, alloc=4.7MB, time=522.39
NO POLE
NO POLE
t[1] = 0.577
x1[1] (analytic) = 2.0010108450507125262028606376118
x1[1] (numeric) = 2.0010043637432753995357117402257
absolute error = 6.4813074371266671488973861e-06
relative error = 0.00032390166465901430096125649329596 %
h = 0.0001
memory used=4139.0MB, alloc=4.7MB, time=522.65
x2[1] (analytic) = 1.0008026443712373362894470349332
x2[1] (numeric) = 1.000806228064788308813230662671
absolute error = 3.5836935509725237836277378e-06
relative error = 0.00035808194264154940802012351427552 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4142.8MB, alloc=4.7MB, time=522.93
NO POLE
NO POLE
t[1] = 0.5771
x1[1] (analytic) = 2.0010107439712615117338396339503
x1[1] (numeric) = 2.0010042458100960743536937087415
absolute error = 6.4981611654373801459252088e-06
relative error = 0.00032474394178118948898202730448295 %
h = 0.0001
x2[1] (analytic) = 1.0008027543713856404525741625154
x2[1] (numeric) = 1.0008063478513497048294858776323
absolute error = 3.5934799640643769117151169e-06
relative error = 0.00035905975961481821860195950499972 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4146.6MB, alloc=4.7MB, time=523.21
NO POLE
NO POLE
t[1] = 0.5772
x1[1] (analytic) = 2.0010106429019179369858566140571
x1[1] (numeric) = 2.001004127865107585291798554476
absolute error = 6.5150368103516940580595811e-06
relative error = 0.00032558731426352722366812473410606 %
h = 0.0001
x2[1] (analytic) = 1.0008028643985903997007960997615
x2[1] (numeric) = 1.0008064676795610271423474691568
absolute error = 3.6032809706274415513693953e-06
relative error = 0.0003600390345398092830116323641267 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4150.4MB, alloc=4.7MB, time=523.48
memory used=4154.2MB, alloc=4.7MB, time=523.75
NO POLE
NO POLE
t[1] = 0.5773
x1[1] (analytic) = 2.001010541842680791265474988208
x1[1] (numeric) = 2.0010040099083087544832286331029
absolute error = 6.5319343720367822463551051e-06
relative error = 0.00032643178211453531377925648102795 %
h = 0.0001
x2[1] (analytic) = 1.0008029744528565204690378662455
x2[1] (numeric) = 1.0008065875494323745617487321593
absolute error = 3.6130965758540927108659138e-06
relative error = 0.00036101976793478145195750259938916 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4158.0MB, alloc=4.7MB, time=524.03
NO POLE
NO POLE
t[1] = 0.5774
x1[1] (analytic) = 2.0010104407935490639803224570387
x1[1] (numeric) = 2.0010038919396984039440697444279
absolute error = 6.5488538506600362527126108e-06
relative error = 0.00032727734534273244182202817773052 %
h = 0.0001
x2[1] (analytic) = 1.0008030845341889102241468006019
x2[1] (numeric) = 1.0008067074609738480935281602427
absolute error = 3.6229267849378693813596408e-06
relative error = 0.0003620019603181093968877381944587 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4161.9MB, alloc=4.7MB, time=524.31
NO POLE
NO POLE
memory used=4165.7MB, alloc=4.7MB, time=524.58
t[1] = 0.5775
x1[1] (analytic) = 2.0010103397545217446390809056218
x1[1] (numeric) = 2.0010037739592753555732795607306
absolute error = 6.5657952463890658013448912e-06
relative error = 0.00032812400395664816413082924165778 %
h = 0.0001
x2[1] (analytic) = 1.000803194642592477465093912162
x2[1] (numeric) = 1.0008068274141955509398860842152
absolute error = 3.6327716030734747921720532e-06
relative error = 0.00036298561220828363521799521803508 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4169.5MB, alloc=4.7MB, time=524.86
NO POLE
NO POLE
t[1] = 0.5776
x1[1] (analytic) = 2.0010102387255978228514762985528
x1[1] (numeric) = 2.0010036559670384311526760539776
absolute error = 6.5827585593916988002445752e-06
relative error = 0.00032897175796482291094882404514691 %
h = 0.0001
x2[1] (analytic) = 1.0008033047780721317231752733704
x2[1] (numeric) = 1.0008069474091075884998414036486
absolute error = 3.6426310354567766661302782e-06
relative error = 0.00036397072412391055556418206834942 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4173.3MB, alloc=4.7MB, time=525.14
NO POLE
NO POLE
t[1] = 0.5777
x1[1] (analytic) = 2.001010137706776288328268576048
x1[1] (numeric) = 2.0010035379629864523469259219073
absolute error = 6.5997437898359813426541407e-06
relative error = 0.00032982060737580798650904852420537 %
h = 0.0001
x2[1] (analytic) = 1.000803414940632783562213452988
x2[1] (numeric) = 1.0008070674457200683696884114962
absolute error = 3.6525050872848074749585082e-06
relative error = 0.00036495729658371244298030850880192 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4177.1MB, alloc=4.7MB, time=525.41
memory used=4180.9MB, alloc=4.7MB, time=525.68
NO POLE
NO POLE
t[1] = 0.5778
x1[1] (analytic) = 2.0010100366980561308812415510518
x1[1] (numeric) = 2.0010034199471182407035330129854
absolute error = 6.6167509378901777085380664e-06
relative error = 0.0003306705521981655691156121514913 %
h = 0.0001
x2[1] (analytic) = 1.0008035251302793445787589900927
x2[1] (numeric) = 1.0008071875240431003434537117899
absolute error = 3.6623937637557646947216972e-06
relative error = 0.00036594533010652750420142027073005 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4184.7MB, alloc=4.7MB, time=525.96
NO POLE
NO POLE
t[1] = 0.5779
x1[1] (analytic) = 2.0010099356994363404231928073547
x1[1] (numeric) = 2.0010033019194326176528267502316
absolute error = 6.6337800037227703660571231e-06
relative error = 0.00033152159244046871122500531379555 %
h = 0.0001
x2[1] (analytic) = 1.0008036353470167274022919088828
x2[1] (numeric) = 1.0008073076440867964133532304347
absolute error = 3.6722970700690110613215519e-06
relative error = 0.00036693482521130989289162047889264 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4188.6MB, alloc=4.7MB, time=526.23
memory used=4192.4MB, alloc=4.7MB, time=526.50
NO POLE
NO POLE
t[1] = 0.578
x1[1] (analytic) = 2.0010098347109159069679235987209
x1[1] (numeric) = 2.0010031838799284045079505539179
absolute error = 6.6508309875024599730448030e-06
relative error = 0.00033237372811130133952751201938222 %
h = 0.0001
x2[1] (analytic) = 1.0008037455908498456954232742926
x2[1] (numeric) = 1.0008074278058612707702493191194
absolute error = 3.6822150114250748260448268e-06
relative error = 0.00036792578241712973489717876553902 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4196.2MB, alloc=4.7MB, time=526.77
NO POLE
NO POLE
t[1] = 0.5781
x1[1] (analytic) = 2.0010097337324938206302287490269
x1[1] (numeric) = 2.0010030658286044224648502631368
absolute error = 6.6679038893981653784858901e-06
relative error = 0.00033322695921925825502872809042787 %
h = 0.0001
x2[1] (analytic) = 1.000803855861783614154096788429
x2[1] (numeric) = 1.0008075480093766398041079523626
absolute error = 3.6921475930256500111639336e-06
relative error = 0.00036891820224317315350472903882474 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4200.0MB, alloc=4.7MB, time=527.05
NO POLE
NO POLE
t[1] = 0.5782
x1[1] (analytic) = 2.0010096327641690716258865534086
x1[1] (numeric) = 2.0010029477654594926022625562411
absolute error = 6.6849987095790236239971675e-06
relative error = 0.00033408128577294513313118463098454 %
h = 0.0001
x2[1] (analytic) = 1.0008039661598229485077904278358
x2[1] (numeric) = 1.0008076682546430221044560177121
absolute error = 3.7020948200735966655898763e-06
relative error = 0.00036991208520874229470455698122029 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4203.8MB, alloc=4.7MB, time=527.32
memory used=4207.6MB, alloc=4.7MB, time=527.60
NO POLE
NO POLE
t[1] = 0.5783
x1[1] (analytic) = 2.0010095318059406502716486804202
x1[1] (numeric) = 2.0010028296904924358817033701539
absolute error = 6.7021154482143899453102663e-06
relative error = 0.00033493670778097852371607700566581 %
h = 0.0001
x2[1] (analytic) = 1.0008040764849727655197181215945
x2[1] (numeric) = 1.0008077885416705384608386991179
absolute error = 3.7120566977729411205775234e-06
relative error = 0.00037090743183325535245897835353051 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4211.5MB, alloc=4.7MB, time=527.87
NO POLE
NO POLE
t[1] = 0.5784
x1[1] (analytic) = 2.0010094308578075469852300752005
x1[1] (numeric) = 2.0010027116037020731474563185494
absolute error = 6.7192541054738377737566511e-06
relative error = 0.00033579322525198585122509907950161 %
h = 0.0001
x2[1] (analytic) = 1.0008041868372379829870314702698
x2[1] (numeric) = 1.0008079088704693118632769534956
absolute error = 3.7220332313288762454832258e-06
relative error = 0.00037190424263624659397580890034016 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4215.3MB, alloc=4.7MB, time=528.15
memory used=4219.1MB, alloc=4.7MB, time=528.43
NO POLE
NO POLE
t[1] = 0.5785
x1[1] (analytic) = 2.001009329919768752285298863651
x1[1] (numeric) = 2.0010025935050872251265611089042
absolute error = 6.7364146815271587377547468e-06
relative error = 0.00033665083819460541474238295416057 %
h = 0.0001
x2[1] (analytic) = 1.0008042972166235197410215057077
x2[1] (numeric) = 1.0008080292410494675027250805008
absolute error = 3.7320244259477617035747931e-06
relative error = 0.00037290251813736638498692706234402 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4222.9MB, alloc=4.7MB, time=528.70
NO POLE
NO POLE
t[1] = 0.5786
x1[1] (analytic) = 2.001009228991823256791466257622
x1[1] (numeric) = 2.0010024753946467124288019584185
absolute error = 6.7535971765443626642992035e-06
relative error = 0.00033750954661748638807654404093993 %
h = 0.0001
x2[1] (analytic) = 1.000804407623134295647320491695
x2[1] (numeric) = 1.0008081496534211327715283855326
absolute error = 3.7420302868371242078938376e-06
relative error = 0.00037390225885638121503193036126494 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4226.7MB, alloc=4.7MB, time=528.99
NO POLE
NO POLE
t[1] = 0.5787
x1[1] (analytic) = 2.001009128073970051224276461109
x1[1] (numeric) = 2.0010023572723793555466960088082
absolute error = 6.7708015906956775804523008e-06
relative error = 0.00033836935052928881984283153580798 %
h = 0.0001
x2[1] (analytic) = 1.0008045180567752316061037654861
x2[1] (numeric) = 1.0008082701075944372638809359845
absolute error = 3.7520508192056577771704984e-06
relative error = 0.00037490346531317372274688663278778 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4230.5MB, alloc=4.7MB, time=529.26
memory used=4234.3MB, alloc=4.7MB, time=529.54
NO POLE
NO POLE
t[1] = 0.5788
x1[1] (analytic) = 2.001009027166208126405196577458
x1[1] (numeric) = 2.0010022391382839748554817399667
absolute error = 6.7880279241515497148374913e-06
relative error = 0.0003392302499386836335453842868227 %
h = 0.0001
x2[1] (analytic) = 1.0008046285175512495522916202093
x2[1] (numeric) = 1.0008083906035795127762834107626
absolute error = 3.7620860282632239917905533e-06
relative error = 0.00037590613802774272115818081328453 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4238.2MB, alloc=4.7MB, time=529.81
NO POLE
NO POLE
t[1] = 0.5789
x1[1] (analytic) = 2.0010089262685364732566065175802
x1[1] (numeric) = 2.0010021209923593906131073824967
absolute error = 6.8052761770826434991350835e-06
relative error = 0.00034009224485435262765959206423945 %
h = 0.0001
x2[1] (analytic) = 1.0008047390054672724557512281559
x2[1] (numeric) = 1.0008085111413864933080010430889
absolute error = 3.7721359192208522498149330e-06
relative error = 0.00037691027752020322298145866553523 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4242.0MB, alloc=4.7MB, time=530.08
memory used=4245.8MB, alloc=4.7MB, time=530.36
NO POLE
NO POLE
t[1] = 0.579
x1[1] (analytic) = 2.0010088253809540828017889091757
x1[1] (numeric) = 2.0010020028346044229602193291123
absolute error = 6.8225463496598415695800634e-06
relative error = 0.00034095533528498847571456219864387 %
h = 0.0001
x2[1] (analytic) = 1.0008048495205282243214986049643
x2[1] (numeric) = 1.0008086317210255150615216566091
absolute error = 3.7822004972907400230516448e-06
relative error = 0.00037791588431078646592566809920473 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4249.6MB, alloc=4.7MB, time=530.63
NO POLE
NO POLE
t[1] = 0.5791
x1[1] (analytic) = 2.0010087245034599461649190069666
x1[1] (numeric) = 2.0010018846650178919201505449104
absolute error = 6.8398384420542447684620562e-06
relative error = 0.00034181952123929472637569165739241 %
h = 0.0001
x2[1] (analytic) = 1.0008049600627390301899006147046
x2[1] (numeric) = 1.0008087523425067164430137948238
absolute error = 3.7922797676862531131801192e-06
relative error = 0.00037892295891983993800219936131204 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4253.4MB, alloc=4.7MB, time=530.90
NO POLE
NO POLE
memory used=4257.2MB, alloc=4.7MB, time=531.18
t[1] = 0.5792
x1[1] (analytic) = 2.0010086236360530545710546039382
x1[1] (numeric) = 2.0010017664835986173989089765124
absolute error = 6.8571524544371721456274258e-06
relative error = 0.00034268480272598580352734444473679 %
h = 0.0001
x2[1] (analytic) = 1.0008050706321046161368770158731
x2[1] (numeric) = 1.0008088730058402380627849438614
absolute error = 3.8023737356219259079279883e-06
relative error = 0.00037993150186782740283912492226108 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4261.0MB, alloc=4.7MB, time=531.45
NO POLE
NO POLE
t[1] = 0.5793
x1[1] (analytic) = 2.0010085227787323993461259435903
x1[1] (numeric) = 2.0010016482903454191851659600749
absolute error = 6.8744883869801609599835154e-06
relative error = 0.00034355117975378700635563449086691 %
h = 0.0001
x2[1] (analytic) = 1.0008051812286299092741025483046
x2[1] (numeric) = 1.000808993711036222735739848612
absolute error = 3.8124824063134616373003074e-06
relative error = 0.00038094151367532892500054013277399 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4264.9MB, alloc=4.7MB, time=531.72
NO POLE
NO POLE
t[1] = 0.5794
x1[1] (analytic) = 2.0010084219314969719169256331959
x1[1] (numeric) = 2.0010015300852571169502446281703
absolute error = 6.8918462398549666810050256e-06
relative error = 0.00034441865233143450943131385028108 %
h = 0.0001
x2[1] (analytic) = 1.0008052918523198377492090610105
x2[1] (numeric) = 1.0008091144581048154818389222409
absolute error = 3.8226057849777326298612304e-06
relative error = 0.00038195299486304089531100564710414 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4268.7MB, alloc=4.7MB, time=531.99
memory used=4272.5MB, alloc=4.7MB, time=532.27
NO POLE
NO POLE
t[1] = 0.5795
x1[1] (analytic) = 2.0010083210943457638110985580694
x1[1] (numeric) = 2.0010014118683325302481083155366
absolute error = 6.9092260132335629902425328e-06
relative error = 0.00034528722046767536279276634973068 %
h = 0.0001
x2[1] (analytic) = 1.0008054025031793307459876809502
x2[1] (numeric) = 1.0008092352470561635265567491009
absolute error = 3.8327438768327805690681507e-06
relative error = 0.00038296594595177605618509271779018 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4276.3MB, alloc=4.7MB, time=532.54
NO POLE
NO POLE
t[1] = 0.5796
x1[1] (analytic) = 2.0010082202672777666571317968428
x1[1] (numeric) = 2.0010012936395704785153489636966
absolute error = 6.9266277072881417828331462e-06
relative error = 0.00034615688417126749202910660109985 %
h = 0.0001
x2[1] (analytic) = 1.0008055131812133184845910227462
x2[1] (numeric) = 1.0008093560779004163013406810616
absolute error = 3.8428966870978167496583154e-06
relative error = 0.00038398036746246352696203207749729 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4280.1MB, alloc=4.7MB, time=532.81
memory used=4283.9MB, alloc=4.7MB, time=533.09
NO POLE
NO POLE
t[1] = 0.5797
x1[1] (analytic) = 2.0010081194502919721843445377511
x1[1] (numeric) = 2.0010011753989697810711755244461
absolute error = 6.9440513221911131690133050e-06
relative error = 0.00034702764345097969836338445949762 %
h = 0.0001
x2[1] (analytic) = 1.0008056238864267322217354393473
x2[1] (numeric) = 1.0008094769506477254440695272751
absolute error = 3.8530642209932223340879278e-06
relative error = 0.00038499625991614882924546784288675 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4287.7MB, alloc=4.7MB, time=533.35
NO POLE
NO POLE
t[1] = 0.5798
x1[1] (analytic) = 2.0010080186433873722228779959247
x1[1] (numeric) = 2.0010010571465292571174023622114
absolute error = 6.9614968581151054756337133e-06
relative error = 0.00034789949831559165873589480194327 %
h = 0.0001
x2[1] (analytic) = 1.0008057346188245042509033136525
x2[1] (numeric) = 1.0008095978653082447995123373968
absolute error = 3.8632464837405486090237443e-06
relative error = 0.00038601362383399391224831698614045 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4291.6MB, alloc=4.7MB, time=533.63
NO POLE
NO POLE
t[1] = 0.5799
x1[1] (analytic) = 2.0010079178465629587036853316914
x1[1] (numeric) = 2.0010009388822477257384376552755
absolute error = 6.9789643152329652476764159e-06
relative error = 0.00034877244877389392588759278688156 %
h = 0.0001
x2[1] (analytic) = 1.0008058453784115679025453910993
x2[1] (numeric) = 1.0008097188218921304197872782801
absolute error = 3.8734434805625172418871808e-06
relative error = 0.00038703245973727717814273581901789 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4295.4MB, alloc=4.7MB, time=533.90
memory used=4299.2MB, alloc=4.7MB, time=534.17
NO POLE
NO POLE
t[1] = 0.58
x1[1] (analytic) = 2.0010078170598177236585215698858
x1[1] (numeric) = 2.0010008206061240059012717958732
absolute error = 6.9964536937177572497740126e-06
relative error = 0.00034964649483468792844361447490603 %
h = 0.0001
x2[1] (analytic) = 1.0008059561651928575442831532282
x2[1] (numeric) = 1.0008098398204095405648206041638
absolute error = 3.8836552166830205374509356e-06
relative error = 0.00038805276814739350741519412494447 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4303.0MB, alloc=4.7MB, time=534.44
NO POLE
NO POLE
t[1] = 0.5801
x1[1] (analytic) = 2.0010077162831506592199335201667
x1[1] (numeric) = 2.0010007023181569164554657891554
absolute error = 7.0139649937427644677310113e-06
relative error = 0.00035052163650678597099690282600027 %
h = 0.0001
x2[1] (analytic) = 1.0008060669791733085811112322291
x2[1] (numeric) = 1.0008099608608706357028057203714
absolute error = 3.8938816973271216944881423e-06
relative error = 0.00038907454958585428422665822408094 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4306.8MB, alloc=4.7MB, time=534.71
memory used=4310.6MB, alloc=4.7MB, time=534.99
NO POLE
NO POLE
t[1] = 0.5802
x1[1] (analytic) = 2.0010076155165607576212496983426
x1[1] (numeric) = 2.0010005840183452761331396510211
absolute error = 7.0314982154814881100473215e-06
relative error = 0.00035139787379901123419193915357411 %
h = 0.0001
x2[1] (analytic) = 1.0008061778203578574555998664796
x2[1] (numeric) = 1.0008100819432855785106623405406
absolute error = 3.9041229277210550624740610e-06
relative error = 0.000390097804574287421777883736713 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4314.5MB, alloc=4.7MB, time=535.26
NO POLE
NO POLE
t[1] = 0.5803
x1[1] (analytic) = 2.0010075147600470111965702487052
x1[1] (numeric) = 2.0010004657066879035489608048188
absolute error = 7.0490533591076476094438864e-06
relative error = 0.00035227520672019777480857994565743 %
h = 0.0001
x2[1] (analytic) = 1.0008062886887514416480973970812
x2[1] (numeric) = 1.0008102030676645338744957374024
absolute error = 3.9143789130922263983403212e-06
relative error = 0.00039112253363443738767981931986319 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4318.3MB, alloc=4.7MB, time=535.53
NO POLE
NO POLE
t[1] = 0.5804
x1[1] (analytic) = 2.00100741401360841238075686737
x1[1] (numeric) = 2.0010003473831836172001324769161
absolute error = 7.0666304247951806243904539e-06
relative error = 0.00035315363527919052584599906856145 %
h = 0.0001
x2[1] (analytic) = 1.0008063995843589996769328054035
x2[1] (numeric) = 1.0008103242340176688900560871284
absolute error = 3.9246496586692131232817249e-06
relative error = 0.00039214873728816522932912216239208 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4322.1MB, alloc=4.7MB, time=535.80
memory used=4325.9MB, alloc=4.7MB, time=536.08
NO POLE
NO POLE
t[1] = 0.5805
x1[1] (analytic) = 2.0010073132772439537094227266253
x1[1] (numeric) = 2.0010002290478312354663820911371
absolute error = 7.0842294127182430406354882e-06
relative error = 0.00035403315948484529660673543828162 %
h = 0.0001
x2[1] (analytic) = 1.0008065105071854710986182916444
x2[1] (numeric) = 1.0008104454423551528631979072653
absolute error = 3.9349351696817645796156209e-06
relative error = 0.00039317641605744859928878627362743 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4329.7MB, alloc=4.7MB, time=536.36
NO POLE
NO POLE
t[1] = 0.5806
x1[1] (analytic) = 2.0010072125509526278189224002879
x1[1] (numeric) = 2.0010001107006295766099496620687
absolute error = 7.1018503230512089727382192e-06
relative error = 0.00035491377934602877278084602002999 %
h = 0.0001
x2[1] (analytic) = 1.0008066214572357965080518944125
x2[1] (numeric) = 1.0008105666926871573103395882753
absolute error = 3.9452354513608022876938628e-06
relative error = 0.00039420557046438178067388475041203 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4333.5MB, alloc=4.7MB, time=536.63
memory used=4337.3MB, alloc=4.7MB, time=536.91
NO POLE
NO POLE
t[1] = 0.5807
x1[1] (analytic) = 2.0010071118347334274463417900672
x1[1] (numeric) = 2.0009999923415774587755761872347
absolute error = 7.1194931559686707656028325e-06
relative error = 0.00035579549487161851653016429614341 %
h = 0.0001
x2[1] (analytic) = 1.0008067324345149175387201513419
x2[1] (numeric) = 1.0008106879850238559589230187017
absolute error = 3.9555505089384202028673598e-06
relative error = 0.00039523620103117571254242686770506 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4341.2MB, alloc=4.7MB, time=537.18
NO POLE
NO POLE
t[1] = 0.5808
x1[1] (analytic) = 2.0010070111285853454294880529354
x1[1] (numeric) = 2.0009998739706736999904920381377
absolute error = 7.1371579116454389960147977e-06
relative error = 0.00035667830607050296657266408774278 %
h = 0.0001
x2[1] (analytic) = 1.0008068434390277768629008007475
x2[1] (numeric) = 1.0008108093193754247478733039778
absolute error = 3.9658803476478849725032303e-06
relative error = 0.00039626830828015801529133092777251 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4345.0MB, alloc=4.7MB, time=537.45
NO POLE
NO POLE
memory used=4348.8MB, alloc=4.7MB, time=537.73
t[1] = 0.5809
x1[1] (analytic) = 2.0010069104325073747068795295063
x1[1] (numeric) = 2.0009997555879171181644053501693
absolute error = 7.1548445902565424741793370e-06
relative error = 0.00035756221295158143826692883040948 %
h = 0.0001
x2[1] (analytic) = 1.0008069544707793181918655243273
x2[1] (numeric) = 1.0008109306957520418280585788991
absolute error = 3.9762249727236361930545718e-06
relative error = 0.00039730189273377301605751415269247 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4352.6MB, alloc=4.7MB, time=538.00
NO POLE
NO POLE
t[1] = 0.581
x1[1] (analytic) = 2.0010068097464985083177356734196
x1[1] (numeric) = 2.0009996371933065310894904113878
absolute error = 7.1725531919772282452620318e-06
relative error = 0.00035844721552376412369672618925438 %
h = 0.0001
x2[1] (analytic) = 1.0008070655297744862760827309214
x2[1] (numeric) = 1.0008110521141638875627499137767
absolute error = 3.9865843894012866671828553e-06
relative error = 0.00039833695491458177412410037529931 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4356.4MB, alloc=4.7MB, time=538.28
NO POLE
NO POLE
t[1] = 0.5811
x1[1] (analytic) = 2.0010067090705577394019669817338
x1[1] (numeric) = 2.0009995187868407564403760501634
absolute error = 7.1902837169829615909315704e-06
relative error = 0.00035933331379597209175568816861755 %
h = 0.0001
x2[1] (analytic) = 1.0008071766160182269054203813354
x2[1] (numeric) = 1.0008111735746211445280813142912
absolute error = 3.9969586029176226609329558e-06
relative error = 0.00039937349534526210633174662338925 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4360.2MB, alloc=4.7MB, time=538.55
memory used=4364.0MB, alloc=4.7MB, time=538.84
NO POLE
NO POLE
t[1] = 0.5812
x1[1] (analytic) = 2.0010066084046840612001649263252
x1[1] (numeric) = 2.0009994003685186117741340216914
absolute error = 7.2080361654494260309046338e-06
relative error = 0.00036022050777713728823209656679138 %
h = 0.0001
x2[1] (analytic) = 1.0008072877295154869093488542364
x2[1] (numeric) = 1.0008112950771339975135098150663
absolute error = 4.0073476185106041609608299e-06
relative error = 0.00040041151454860861249508963203025 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4367.9MB, alloc=4.7MB, time=539.11
NO POLE
NO POLE
t[1] = 0.5813
x1[1] (analytic) = 2.0010065077488764670535918862934
x1[1] (numeric) = 2.0009992819383389145302673933727
absolute error = 7.2258105375525233244929207e-06
relative error = 0.00036110879747620253589377383105608 %
h = 0.0001
x2[1] (analytic) = 1.0008073988702712141571438531292
x2[1] (numeric) = 1.0008114166217126335222756669803
absolute error = 4.0177514414193651318138511e-06
relative error = 0.00040145101304753270082431327882332 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4371.7MB, alloc=4.7MB, time=539.38
memory used=4375.5MB, alloc=4.7MB, time=539.66
NO POLE
NO POLE
t[1] = 0.5814
x1[1] (analytic) = 2.0010064071031339504041710813743
x1[1] (numeric) = 2.0009991634963004820306989290612
absolute error = 7.2436068334683734721523131e-06
relative error = 0.00036199818290212153457307938330871 %
h = 0.0001
x2[1] (analytic) = 1.0008075100382903575580893544218
x2[1] (numeric) = 1.0008115382083672417718626182353
absolute error = 4.0281700768842137732638135e-06
relative error = 0.00040249199136506261335183794692601 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4379.3MB, alloc=4.7MB, time=539.93
NO POLE
NO POLE
t[1] = 0.5815
x1[1] (analytic) = 2.0010063064674555047944765063592
x1[1] (numeric) = 2.0009990450424021314797594721793
absolute error = 7.2614250533733147170341799e-06
relative error = 0.00036288866406385886125201128666796 %
h = 0.0001
x2[1] (analytic) = 1.0008076212335778670616805965882
x2[1] (numeric) = 1.0008116598371080136944582892021
absolute error = 4.0386035301466327776926139e-06
relative error = 0.00040353445002434345136413275067732 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4383.1MB, alloc=4.7MB, time=540.20
NO POLE
NO POLE
t[1] = 0.5816
x1[1] (analytic) = 2.0010062058418401238677228665204
x1[1] (numeric) = 2.0009989265766426799641763276996
absolute error = 7.2792651974439035465388208e-06
relative error = 0.00036378024097038997014741336831328 %
h = 0.0001
x2[1] (analytic) = 1.0008077324561386936578271104353
x2[1] (numeric) = 1.0008117815079451429374146410604
absolute error = 4.0490518064492795875306251e-06
relative error = 0.00040457838954863720083865183841019 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4386.9MB, alloc=4.7MB, time=540.47
memory used=4390.7MB, alloc=4.7MB, time=540.76
NO POLE
NO POLE
t[1] = 0.5817
x1[1] (analytic) = 2.0010061052262868013677555140436
x1[1] (numeric) = 2.0009988080990209444530616429943
absolute error = 7.2971272658569146938710493e-06
relative error = 0.00036467291363070119279628773890483 %
h = 0.0001
x2[1] (analytic) = 1.0008078437059777893770557904845
x2[1] (numeric) = 1.000811903220888825363708538253
absolute error = 4.0595149110359866527477685e-06
relative error = 0.00040562381046132275788589551738705 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4394.6MB, alloc=4.7MB, time=541.03
NO POLE
NO POLE
t[1] = 0.5818
x1[1] (analytic) = 2.0010060046207945311390403854663
x1[1] (numeric) = 2.0009986896095357417979007875513
absolute error = 7.3150112587893411395979150e-06
relative error = 0.00036556668205378973814121271889578 %
h = 0.0001
x2[1] (analytic) = 1.0008079549831001072907140074743
x2[1] (numeric) = 1.0008120249759492590524024047728
absolute error = 4.0699928491517616883972985e-06
relative error = 0.00040667071328589595419659738541275 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4398.4MB, alloc=4.7MB, time=541.30
memory used=4402.2MB, alloc=4.7MB, time=541.58
NO POLE
NO POLE
t[1] = 0.5819
x1[1] (analytic) = 2.001005904025362307126653940122
x1[1] (numeric) = 2.000998571108185888732540731557
absolute error = 7.3329171764183941132085650e-06
relative error = 0.00036646154624866369261586616205832 %
h = 0.0001
x2[1] (analytic) = 1.0008080662875106015111727619919
x2[1] (numeric) = 1.0008121467731366442991049743018
absolute error = 4.0804856260427879322123099e-06
relative error = 0.00040771909854596958249403852375509 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4406.0MB, alloc=4.7MB, time=541.86
NO POLE
NO POLE
t[1] = 0.582
x1[1] (analytic) = 2.0010058034399891233762730995919
x1[1] (numeric) = 2.0009984525949702018731784233459
absolute error = 7.3508450189215030946762460e-06
relative error = 0.00036735750622434202023065425649907 %
h = 0.0001
x2[1] (analytic) = 1.0008081776192142271920298792437
x2[1] (numeric) = 1.0008122686124611836164321342207
absolute error = 4.0909932469564244022549770e-06
relative error = 0.00040876896676527342199148955617635 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4409.8MB, alloc=4.7MB, time=542.13
NO POLE
NO POLE
t[1] = 0.5821
x1[1] (analytic) = 2.0010057028646739740341651881604
x1[1] (numeric) = 2.0009983340698874977183491657169
absolute error = 7.3687947864763158160224435e-06
relative error = 0.00036825456198985456265844562357113 %
h = 0.0001
x2[1] (analytic) = 1.0008082889782159405283132449719
x2[1] (numeric) = 1.0008123904939330817344678635083
absolute error = 4.1015157171412061546185364e-06
relative error = 0.00040982031846765426385478170858555 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4413.6MB, alloc=4.7MB, time=542.40
memory used=4417.5MB, alloc=4.7MB, time=542.69
NO POLE
NO POLE
t[1] = 0.5822
x1[1] (analytic) = 2.0010056022994158533471778742791
x1[1] (numeric) = 2.0009982155329365926489149911156
absolute error = 7.3867664792606982628831635e-06
relative error = 0.00036915271355424203932041098486255 %
h = 0.0001
x2[1] (analytic) = 1.0008084003645206987566840825243
x2[1] (numeric) = 1.0008125124175625456012252645498
absolute error = 4.1120530418468445411820255e-06
relative error = 0.00041087315417707593667000800379343 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4421.3MB, alloc=4.7MB, time=542.97
NO POLE
NO POLE
t[1] = 0.5823
x1[1] (analytic) = 2.0010055017442137556627291130341
x1[1] (numeric) = 2.0009980969841163029280530356838
absolute error = 7.4047600974527346760773503e-06
relative error = 0.0003700519609265560474719680777387 %
h = 0.0001
x2[1] (analytic) = 1.0008085117781334601556402710874
x2[1] (numeric) = 1.0008126343833597843831076888721
absolute error = 4.1226052263242274674177847e-06
relative error = 0.00041192747441761933191635532614523 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4425.1MB, alloc=4.7MB, time=543.24
memory used=4428.9MB, alloc=4.7MB, time=543.51
NO POLE
NO POLE
t[1] = 0.5824
x1[1] (analytic) = 2.0010054011990666754287970896209
x1[1] (numeric) = 2.0009979784234254447012439121746
absolute error = 7.4227756412307275531774463e-06
relative error = 0.00037095230411585906228883211460582 %
h = 0.0001
x2[1] (analytic) = 1.0008086232190591840457197050902
x2[1] (numeric) = 1.0008127563913350094653699568265
absolute error = 4.1331722758254196502517363e-06
relative error = 0.0004129832797134824294440685903762 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4432.7MB, alloc=4.7MB, time=543.80
NO POLE
NO POLE
t[1] = 0.5825
x1[1] (analytic) = 2.0010053006639736071939101638241
x1[1] (numeric) = 2.0009978598508628339962600817339
absolute error = 7.4408131107731976500820902e-06
relative error = 0.00037185374313122443695317160630233 %
h = 0.0001
x2[1] (analytic) = 1.0008087346873028307897036947863
x2[1] (numeric) = 1.0008128784414984344525796712363
absolute error = 4.1437541956036628759764500e-06
relative error = 0.00041404057058898032295754793925631 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4436.5MB, alloc=4.7MB, time=544.07
NO POLE
NO POLE
t[1] = 0.5826
x1[1] (analytic) = 2.0010052001389335456071368155023
x1[1] (numeric) = 2.0009977412664272867231542245478
absolute error = 7.4588725062588839825909545e-06
relative error = 0.00037275627798173640273986959491134 %
h = 0.0001
x2[1] (analytic) = 1.000808846182869361792820408023
x2[1] (numeric) = 1.000813000533860275169078625029
absolute error = 4.1543509909133762582170060e-06
relative error = 0.0004150993475685452455035800044735 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4440.3MB, alloc=4.7MB, time=544.34
memory used=4444.2MB, alloc=4.7MB, time=544.62
NO POLE
NO POLE
t[1] = 0.5827
x1[1] (analytic) = 2.0010050996239454854180755910791
x1[1] (numeric) = 2.0009976226701176186742476093564
absolute error = 7.4769538278667438279817227e-06
relative error = 0.0003736599086764900691028903162997 %
h = 0.0001
x2[1] (analytic) = 1.0008089577057637395029483532061
x2[1] (numeric) = 1.000813122668430749659444302872
absolute error = 4.1649626670101564959496659e-06
relative error = 0.00041615961117672659496470418524117 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4448.0MB, alloc=4.7MB, time=544.90
NO POLE
NO POLE
t[1] = 0.5828
x1[1] (analytic) = 2.001004999119008421476845051039
x1[1] (numeric) = 2.0009975040619326455241184618327
absolute error = 7.4950570757759527265892063e-06
relative error = 0.00037456463522459142376175129769723 %
h = 0.0001
x2[1] (analytic) = 1.0008090692559909274108199034675
x2[1] (numeric) = 1.000813244845220078188951476831
absolute error = 4.1755892291507781315733635e-06
relative error = 0.00041722136193819095955771508893449 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4451.8MB, alloc=4.7MB, time=545.17
memory used=4455.6MB, alloc=4.7MB, time=545.45
NO POLE
NO POLE
t[1] = 0.5829
x1[1] (analytic) = 2.0010048986241213487340737184286
x1[1] (numeric) = 2.000997385441871182829590331828
absolute error = 7.5131822501659044833866006e-06
relative error = 0.00037547045763515733278810084065665 %
h = 0.0001
x2[1] (analytic) = 1.0008091808335558900502248620449
x2[1] (numeric) = 1.0008133670642384832440338960691
absolute error = 4.1862306825931938090340242e-06
relative error = 0.00041828460037772214333730193830585 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4459.4MB, alloc=4.7MB, time=545.72
NO POLE
NO POLE
t[1] = 0.583
x1[1] (analytic) = 2.0010047981392832622408900283627
x1[1] (numeric) = 2.0009972668099320460297204594824
absolute error = 7.5313293512162111695688803e-06
relative error = 0.00037637737591731554069240093968494 %
h = 0.0001
x2[1] (analytic) = 1.0008092924384635929982140688804
x2[1] (numeric) = 1.000813489325496189532746070607
absolute error = 4.1968870325965345320017266e-06
relative error = 0.00041934932702022119170482623940653 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4463.2MB, alloc=4.7MB, time=545.99
NO POLE
NO POLE
memory used=4467.0MB, alloc=4.7MB, time=546.26
t[1] = 0.5831
x1[1] (analytic) = 2.0010046976644931571489122785358
x1[1] (numeric) = 2.0009971481661140504457881402012
absolute error = 7.5494983791067031241383346e-06
relative error = 0.00037728539008020467051071562186897 %
h = 0.0001
x2[1] (analytic) = 1.0008094040707190028753030484479
x2[1] (numeric) = 1.0008136116290034239852251491619
absolute error = 4.2075582844211099221007140e-06
relative error = 0.00042041554239070641692223841478892 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4470.9MB, alloc=4.7MB, time=546.53
NO POLE
NO POLE
t[1] = 0.5832
x1[1] (analytic) = 2.0010045971997500287102385807383
x1[1] (numeric) = 2.0009970295104160112812830884961
absolute error = 7.5676893340174289554922422e-06
relative error = 0.00037819450013297422389160472780108 %
h = 0.0001
x2[1] (analytic) = 1.0008095157303270873456756988165
x2[1] (numeric) = 1.0008137339747704157541528910853
absolute error = 4.2182444433284084771922688e-06
relative error = 0.00042148324701431342363113463610841 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4474.7MB, alloc=4.7MB, time=546.81
NO POLE
NO POLE
t[1] = 0.5833
x1[1] (analytic) = 2.0010044967450528722774368133772
x1[1] (numeric) = 2.0009969108428367436218938006925
absolute error = 7.5859022161286555430126847e-06
relative error = 0.00037910470608478458118312305915765 %
h = 0.0001
x2[1] (analytic) = 1.0008096274172928151173880219577
x2[1] (numeric) = 1.0008138563628073962152177324174
absolute error = 4.2289455145810978297104597e-06
relative error = 0.00042255244141629513437695478046574 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4478.5MB, alloc=4.7MB, time=547.08
memory used=4482.3MB, alloc=4.7MB, time=547.36
NO POLE
NO POLE
t[1] = 0.5834
x1[1] (analytic) = 2.0010043963004006833035345750021
x1[1] (numeric) = 2.0009967921633750624354959165014
absolute error = 7.6041370256208680386585007e-06
relative error = 0.00038001600794480700151992500818809 %
h = 0.0001
x2[1] (analytic) = 1.0008097391316211559425718953056
x2[1] (numeric) = 1.0008139787931245989675769460784
absolute error = 4.2396615034430250050507728e-06
relative error = 0.00042362312612202181513832255470506 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4486.1MB, alloc=4.7MB, time=547.64
NO POLE
NO POLE
t[1] = 0.5835
x1[1] (analytic) = 2.0010042958657924573420091388351
x1[1] (numeric) = 2.0009966734720297825721405794566
absolute error = 7.6223937626747698685593785e-06
relative error = 0.00038092840572222362291047456448264 %
h = 0.0001
x2[1] (analytic) = 1.0008098508733170806176388845779
x2[1] (numeric) = 1.000814101265732259834318896215
absolute error = 4.2503924151792166800116371e-06
relative error = 0.00042469530165698110086152877190361 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4489.9MB, alloc=4.7MB, time=547.92
memory used=4493.7MB, alloc=4.7MB, time=548.20
NO POLE
NO POLE
t[1] = 0.5836
x1[1] (analytic) = 2.0010041954412271900467774083059
x1[1] (numeric) = 2.000996554768799718764042796217
absolute error = 7.6406724274712827346120889e-06
relative error = 0.00038184189942622746232436077429614 %
h = 0.0001
x2[1] (analytic) = 1.0008099626423855609834840978654
x2[1] (numeric) = 1.0008142237806406168629253867206
absolute error = 4.2611382550558794412888552e-06
relative error = 0.00042576896854677802100015879423651 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4497.6MB, alloc=4.7MB, time=548.47
NO POLE
NO POLE
t[1] = 0.5837
x1[1] (analytic) = 2.0010040950267038771721858735908
x1[1] (numeric) = 2.0009964360536836856255697947334
absolute error = 7.6589730201915466160788574e-06
relative error = 0.00038275648906602241577971861776095 %
h = 0.0001
x2[1] (analytic) = 1.0008100744388315699256900809988
x2[1] (numeric) = 1.0008143463378599103257341039497
absolute error = 4.2718990283404000440229509e-06
relative error = 0.00042684412731713502505986524629853 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4501.4MB, alloc=4.7MB, time=548.75
NO POLE
NO POLE
t[1] = 0.5838
x1[1] (analytic) = 2.0010039946222215145730005691563
x1[1] (numeric) = 2.0009963173266804976532293812806
absolute error = 7.6772955410169197711878757e-06
relative error = 0.00038367217465082325843075529930624 %
h = 0.0001
x2[1] (analytic) = 1.0008101862626600813747307542015
x2[1] (numeric) = 1.0008144689374003827204011536438
absolute error = 4.2826747403013456703994423e-06
relative error = 0.00042792077849389200814828679318718 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4505.2MB, alloc=4.7MB, time=549.02
memory used=4509.0MB, alloc=4.7MB, time=549.30
NO POLE
NO POLE
t[1] = 0.5839
x1[1] (analytic) = 2.0010038942277790982043970323064
x1[1] (numeric) = 2.0009961985877889692256582963535
absolute error = 7.6956399901289787387359529e-06
relative error = 0.00038458895618985564465538197158909 %
h = 0.0001
x2[1] (analytic) = 1.0008102981138760703061753900349
x2[1] (numeric) = 1.0008145915792722787703636920888
absolute error = 4.2934653962084641883020539e-06
relative error = 0.00042899892260300633653011426722782 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4512.8MB, alloc=4.7MB, time=549.58
NO POLE
NO POLE
t[1] = 0.584
x1[1] (analytic) = 2.0010037938433756241219502627347
x1[1] (numeric) = 2.0009960798370079146036105694285
absolute error = 7.7140063677095183396933062e-06
relative error = 0.00038550683369235610814295088325698 %
h = 0.0001
x2[1] (analytic) = 1.0008104099924845127408926326463
x2[1] (numeric) = 1.000814714263485845425302651523
absolute error = 4.3042710013326844100188767e-06
relative error = 0.00043007856017055287318730497755545 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4516.6MB, alloc=4.7MB, time=549.85
memory used=4520.4MB, alloc=4.7MB, time=550.13
NO POLE
NO POLE
t[1] = 0.5841
x1[1] (analytic) = 2.0010036934690100884816246830801
x1[1] (numeric) = 2.0009959610743361479299458725886
absolute error = 7.7323946739405516788104915e-06
relative error = 0.00038642580716757206198209797084686 %
h = 0.0001
x2[1] (analytic) = 1.0008105218984903857452545583259
x2[1] (numeric) = 1.0008148369900513318616055598141
absolute error = 4.3150915609461163510014882e-06
relative error = 0.00043115969172272400338444632650661 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4524.3MB, alloc=4.7MB, time=550.40
NO POLE
NO POLE
t[1] = 0.5842
x1[1] (analytic) = 2.0010035931046814875397641004864
x1[1] (numeric) = 2.0009958422997724832296178730133
absolute error = 7.7508049090043101462274731e-06
relative error = 0.00038734587662476179874869085515566 %
h = 0.0001
x2[1] (analytic) = 1.0008106338318986674313407773835
x2[1] (numeric) = 1.0008149597589789894828294544245
absolute error = 4.3259270803220514886770410e-06
relative error = 0.00043224231778582966023926953700351 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4528.1MB, alloc=4.7MB, time=550.67
NO POLE
NO POLE
t[1] = 0.5843
x1[1] (analytic) = 2.0010034927503888176530816691653
x1[1] (numeric) = 2.0009957235133157344096625843327
absolute error = 7.7692370730832434190848326e-06
relative error = 0.00038826704207319449059388224739455 %
h = 0.0001
x2[1] (analytic) = 1.0008107457927143369571425773496
x2[1] (numeric) = 1.0008150825702790719201638906843
absolute error = 4.3367775647349630213133347e-06
relative error = 0.00043332643888629735029831489460113 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4531.9MB, alloc=4.7MB, time=550.94
memory used=4535.7MB, alloc=4.7MB, time=551.22
NO POLE
NO POLE
t[1] = 0.5844
x1[1] (analytic) = 2.0010033924061310752786498539645
x1[1] (numeric) = 2.0009956047149647152591867168456
absolute error = 7.7876911663600194631371189e-06
relative error = 0.00038918930352215018933226886039384 %
h = 0.0001
x2[1] (analytic) = 1.0008108577809423745267671075131
x2[1] (numeric) = 1.0008152054239618350328940443903
absolute error = 4.3476430194605061269368772e-06
relative error = 0.00043441205555067217911774904853254 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4539.5MB, alloc=4.7MB, time=551.49
NO POLE
NO POLE
t[1] = 0.5845
x1[1] (analytic) = 2.0010032920719072569738903949374
x1[1] (numeric) = 2.0009954859047182394493560266015
absolute error = 7.8061671890175245343683359e-06
relative error = 0.00039011266098091982653015565525888 %
h = 0.0001
x2[1] (analytic) = 1.0008109697965877613906416048001
x2[1] (numeric) = 1.0008153283200375369088639087507
absolute error = 4.3585234497755182223039506e-06
relative error = 0.00043549916830561687684933582532583 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4543.3MB, alloc=4.7MB, time=551.76
memory used=4547.2MB, alloc=4.7MB, time=552.04
NO POLE
NO POLE
t[1] = 0.5846
x1[1] (analytic) = 2.0010031917477163593965642729179
x1[1] (numeric) = 2.0009953670825751205333836633466
absolute error = 7.8246651412388631806095713e-06
relative error = 0.00039103711445880521359392559370589 %
h = 0.0001
x2[1] (analytic) = 1.0008110818396554798457176610053
x2[1] (numeric) = 1.0008154512585164378649395856942
absolute error = 4.3694188609580192219246889e-06
relative error = 0.00043658777767791182383156120918258 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4551.0MB, alloc=4.7MB, time=552.31
NO POLE
NO POLE
t[1] = 0.5847
x1[1] (analytic) = 2.0010030914335573793047616760977
x1[1] (numeric) = 2.0009952482485341719465185173339
absolute error = 7.8431850232073582431587638e-06
relative error = 0.00039196266396511904185851476146026 %
h = 0.0001
x2[1] (analytic) = 1.0008111939101505132356755313812
x2[1] (numeric) = 1.0008155742394088004474726715623
absolute error = 4.3803292582872117971401811e-06
relative error = 0.00043767788419445507618591378276343 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4554.8MB, alloc=4.7MB, time=552.58
NO POLE
NO POLE
memory used=4558.6MB, alloc=4.7MB, time=552.86
t[1] = 0.5848
x1[1] (analytic) = 2.0010029911294293135568919676076
x1[1] (numeric) = 2.0009951294025942070060335649965
absolute error = 7.8617268351065508584026111e-06
relative error = 0.00039288930950918488267599298297136 %
h = 0.0001
x2[1] (analytic) = 1.0008113060080778459511284845962
x2[1] (numeric) = 1.0008156972627248894327637372047
absolute error = 4.3912546470434816352526085e-06
relative error = 0.00043876948838226239141832144238459 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4562.4MB, alloc=4.7MB, time=553.13
NO POLE
NO POLE
t[1] = 0.5849
x1[1] (analytic) = 2.0010028908353311591116736541012
x1[1] (numeric) = 2.0009950105447540389112142134847
absolute error = 7.8802905771202004594406165e-06
relative error = 0.00039381705110033718750424981781388 %
h = 0.0001
x2[1] (analytic) = 1.0008114181334424634298271940675
x2[1] (numeric) = 1.0008158203284749718275259024956
absolute error = 4.4021950325083976987084281e-06
relative error = 0.00043986259076846725402574551135136 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4566.2MB, alloc=4.7MB, time=553.40
NO POLE
NO POLE
t[1] = 0.585
x1[1] (analytic) = 2.001002790551261913028124355342
x1[1] (numeric) = 2.0009948916750124807433466440666
absolute error = 7.8988762494322847777112754e-06
relative error = 0.00039474588874792128799578600405704 %
h = 0.0001
x2[1] (analytic) = 1.0008115302862493521568641706782
x2[1] (numeric) = 1.0008159434366693168693485052913
absolute error = 4.4131504199647124843346131e-06
relative error = 0.00044095719188032090110793328519797 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4570.0MB, alloc=4.7MB, time=553.67
memory used=4573.9MB, alloc=4.7MB, time=553.95
NO POLE
NO POLE
t[1] = 0.5851
x1[1] (analytic) = 2.001002690277220572465550774794
x1[1] (numeric) = 2.0009947727933683454657061543921
absolute error = 7.9174838522269998446204019e-06
relative error = 0.00039567582246129339608661035891108 %
h = 0.0001
x2[1] (analytic) = 1.0008116424665034996648782368864
x2[1] (numeric) = 1.0008160665873181960271608648469
absolute error = 4.4241208146963622826279605e-06
relative error = 0.00044205329224519234798432994265616 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4577.7MB, alloc=4.7MB, time=554.23
NO POLE
NO POLE
t[1] = 0.5852
x1[1] (analytic) = 2.0010025900132061346835386712145
x1[1] (numeric) = 2.00099465389982044592354549962
absolute error = 7.9361133856887599931715945e-06
relative error = 0.00039660685224982060408524208699054 %
h = 0.0001
x2[1] (analytic) = 1.0008117546742098945342590422353
x2[1] (numeric) = 1.0008161897804318830016961397123
absolute error = 4.4351062219884674370974770e-06
relative error = 0.00044315089239056841381615087604873 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4581.5MB, alloc=4.7MB, time=554.50
memory used=4585.3MB, alloc=4.7MB, time=554.79
NO POLE
NO POLE
t[1] = 0.5853
x1[1] (analytic) = 2.0010024897592175970419428312498
x1[1] (numeric) = 2.0009945349943675948440832324083
absolute error = 7.9547648500021978595988415e-06
relative error = 0.00039753897812288088476181852649323 %
h = 0.0001
x2[1] (analytic) = 1.0008118669093735263933516202716
x2[1] (numeric) = 1.0008163130160206537259552801254
absolute error = 4.4461066471273326036598538e-06
relative error = 0.00044424999284405374723361543482519 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4589.1MB, alloc=4.7MB, time=555.06
NO POLE
NO POLE
t[1] = 0.5854
x1[1] (analytic) = 2.0010023895152539570008770430342
x1[1] (numeric) = 2.0009944160770086048364920417676
absolute error = 7.9734382453521643850012666e-06
relative error = 0.0003984722000898630914373083585965 %
h = 0.0001
x2[1] (analytic) = 1.0008119791719993859186609868801
x2[1] (numeric) = 1.0008164362940947863656710749228
absolute error = 4.4571220954004470100880427e-06
relative error = 0.00044535059413337085196834325578183 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4592.9MB, alloc=4.7MB, time=555.33
NO POLE
NO POLE
t[1] = 0.5855
x1[1] (analytic) = 2.0010022892813142121207040707907
x1[1] (numeric) = 2.0009942971477422883918870907775
absolute error = 7.9921335719237288169800132e-06
relative error = 0.00039940651816016695807283020542264 %
h = 0.0001
x2[1] (analytic) = 1.0008120914620924648350567800445
x2[1] (numeric) = 1.0008165596146645613197722929859
absolute error = 4.4681525720964847155129414e-06
relative error = 0.00044645269678636011249091390384407 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4596.7MB, alloc=4.7MB, time=555.62
memory used=4600.6MB, alloc=4.7MB, time=555.90
NO POLE
NO POLE
t[1] = 0.5856
x1[1] (analytic) = 2.0010021890573973600620256304345
x1[1] (numeric) = 2.0009941782065674578833143531655
absolute error = 8.0108508299021787112772690e-06
relative error = 0.00040034193234320309935907669684714 %
h = 0.0001
x2[1] (analytic) = 1.0008122037796577559159779410412
x2[1] (numeric) = 1.0008166829777402612208479192423
absolute error = 4.4791980825053048699782011e-06
relative error = 0.00044755630133097981965359106684015 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4604.4MB, alloc=4.7MB, time=556.17
NO POLE
NO POLE
t[1] = 0.5857
x1[1] (analytic) = 2.0010020888435023985856723661797
x1[1] (numeric) = 2.0009940592534829255657389487491
absolute error = 8.0295900194730199334174306e-06
relative error = 0.00040127844264839301080584399147116 %
h = 0.0001
x2[1] (analytic) = 1.0008123161247002529836374370739
x2[1] (numeric) = 1.0008168063833321709356114852412
absolute error = 4.4902586319179519740481673e-06
relative error = 0.0004486614082953061963382123278446 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4608.2MB, alloc=4.7MB, time=556.44
memory used=4612.0MB, alloc=4.7MB, time=556.72
NO POLE
NO POLE
t[1] = 0.5858
x1[1] (analytic) = 2.0010019886396283255526938281469
x1[1] (numeric) = 2.00099394028848750357603347774
absolute error = 8.0483511408219766603504069e-06
relative error = 0.00040221604908516906883166669210245 %
h = 0.0001
x2[1] (analytic) = 1.0008124284972249509092270253593
x2[1] (numeric) = 1.0008169298314505775653654943223
absolute error = 4.5013342256266561384689630e-06
relative error = 0.00044976801820753342310924536877813 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4615.8MB, alloc=4.7MB, time=557.00
NO POLE
NO POLE
t[1] = 0.5859
x1[1] (analytic) = 2.0010018884457741389243484509741
x1[1] (numeric) = 2.0009938213115800039329663539113
absolute error = 8.0671341941349913820970628e-06
relative error = 0.00040315475166297453085355823102066 %
h = 0.0001
x2[1] (analytic) = 1.00081254089723684561312205867
x2[1] (numeric) = 1.0008170533221057704464659413961
absolute error = 4.5124248689248333438827261e-06
relative error = 0.00045087613159597366387201171871317 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4619.6MB, alloc=4.7MB, time=557.27
NO POLE
NO POLE
t[1] = 0.586
x1[1] (analytic) = 2.001001788261938836762093533429
x1[1] (numeric) = 2.0009937023227592385371901366267
absolute error = 8.0859391795982249033968023e-06
relative error = 0.00040409455039126353537685668036348 %
h = 0.0001
x2[1] (analytic) = 1.0008126533247409340650863323436
x2[1] (numeric) = 1.0008171768553080411507869273566
absolute error = 4.5235305671070857005950130e-06
relative error = 0.00045198574898905709153607918028788 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4623.4MB, alloc=4.7MB, time=557.55
memory used=4627.3MB, alloc=4.7MB, time=557.83
NO POLE
NO POLE
t[1] = 0.5861
x1[1] (analytic) = 2.0010016880881214172275752190238
x1[1] (numeric) = 2.0009935833220240191712298617321
absolute error = 8.1047660973980563453572917e-06
relative error = 0.00040503544527950110208517602292963 %
h = 0.0001
x2[1] (analytic) = 1.0008127657797422142844769727672
x2[1] (numeric) = 1.0008173004310676834861853681437
absolute error = 4.5346513254692017083953765e-06
relative error = 0.00045309687091533191368382367791945 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4631.1MB, alloc=4.7MB, time=558.11
NO POLE
NO POLE
t[1] = 0.5862
x1[1] (analytic) = 2.0010015879243208785826184776315
x1[1] (numeric) = 2.0009934643093731574994713713095
absolute error = 8.1236149477210831471063220e-06
relative error = 0.00040597743633716313193046283873502 %
h = 0.0001
x2[1] (analytic) = 1.0008128782622456853404493673437
x2[1] (numeric) = 1.0008174240493949934969657984755
absolute error = 4.5457871493081565164311318e-06
relative error = 0.00045420949790346439824416184101761 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4634.9MB, alloc=4.7MB, time=558.38
memory used=4638.7MB, alloc=4.7MB, time=558.66
NO POLE
NO POLE
t[1] = 0.5863
x1[1] (analytic) = 2.0010014877705362191892170881041
x1[1] (numeric) = 2.0009933452848054650681496422928
absolute error = 8.1424857307541210674458113e-06
relative error = 0.00040692052357373640722315844761549 %
h = 0.0001
x2[1] (analytic) = 1.0008129907722563473521621359497
x2[1] (numeric) = 1.0008175477103002694643452702689
absolute error = 4.5569380439221121831343192e-06
relative error = 0.00045532363048223889917145511579097 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4642.5MB, alloc=4.7MB, time=558.94
NO POLE
NO POLE
t[1] = 0.5864
x1[1] (analytic) = 2.0010013876267664375095236218928
x1[1] (numeric) = 2.0009932262483197533053371139457
absolute error = 8.1613784466842041865079471e-06
relative error = 0.00040786470699871859172246650319199 %
h = 0.0001
x2[1] (analytic) = 1.0008131033097792014889821438929
x2[1] (numeric) = 1.0008176714137938119069183457682
absolute error = 4.5681040146104179362018753e-06
relative error = 0.00045643926918055788212958651895151 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4646.3MB, alloc=4.7MB, time=559.21
NO POLE
NO POLE
t[1] = 0.5865
x1[1] (analytic) = 2.0010012874930105321058394276693
x1[1] (numeric) = 2.0009931071999148335209320142013
absolute error = 8.1802930956985849074134680e-06
relative error = 0.00040880998662161823072672601352454 %
h = 0.0001
x2[1] (analytic) = 1.000813215874819249970689556376
x2[1] (numeric) = 1.0008177951598859235811221854008
absolute error = 4.5792850666736104326290248e-06
relative error = 0.00045755641452744195018121117656979 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4650.2MB, alloc=4.7MB, time=559.49
memory used=4654.0MB, alloc=4.7MB, time=559.77
NO POLE
NO POLE
t[1] = 0.5866
x1[1] (analytic) = 2.0010011873692675016406046169487
x1[1] (numeric) = 2.0009929881395895169066466848636
absolute error = 8.1992296779847339579320851e-06
relative error = 0.00040975636245195475116388980376042 %
h = 0.0001
x2[1] (analytic) = 1.0008133284673814960676829344777
x2[1] (numeric) = 1.0008179189485869094817017303781
absolute error = 4.5904812054134140187959004e-06
relative error = 0.00045867506705202986948218133167677 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4657.8MB, alloc=4.7MB, time=560.04
NO POLE
NO POLE
t[1] = 0.5867
x1[1] (analytic) = 2.0010010872555363448763880507141
x1[1] (numeric) = 2.0009928690673426145359959056706
absolute error = 8.2181881937303403921450435e-06
relative error = 0.00041070383449925846168210844108006 %
h = 0.0001
x2[1] (analytic) = 1.0008134410874709441011843726568
x2[1] (numeric) = 1.0008180427799070768421749800621
absolute error = 4.6016924361327409906074053e-06
relative error = 0.00045979522728357859498114720361307 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4661.6MB, alloc=4.7MB, time=560.31
memory used=4665.4MB, alloc=4.7MB, time=560.60
NO POLE
NO POLE
t[1] = 0.5868
x1[1] (analytic) = 2.0010009871518160606758773270424
x1[1] (numeric) = 2.0009927499831729373642852172187
absolute error = 8.2371686431233115921098237e-06
relative error = 0.00041165240277307055274041961225883 %
h = 0.0001
x2[1] (analytic) = 1.0008135537350925994434446777894
x2[1] (numeric) = 1.0008181666538567351352983641161
absolute error = 4.6129187641356918536863267e-06
relative error = 0.00046091689575146329612433447259148 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4669.2MB, alloc=4.7MB, time=560.87
NO POLE
NO POLE
t[1] = 0.5869
x1[1] (analytic) = 2.0010008870581056480018687697306
x1[1] (numeric) = 2.000992630887079296228599242749
absolute error = 8.2561710263517732695269816e-06
relative error = 0.00041260206728294309669954288919065 %
h = 0.0001
x2[1] (analytic) = 1.0008136664102514685179485897451
x2[1] (numeric) = 1.0008182905704461960735322094585
absolute error = 4.6241601947275555836197134e-06
relative error = 0.00046204007298517738256549963252971 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4673.0MB, alloc=4.7MB, time=561.14
NO POLE
NO POLE
memory used=4676.9MB, alloc=4.7MB, time=561.43
t[1] = 0.587
x1[1] (analytic) = 2.0010007869744041059172574179246
x1[1] (numeric) = 2.0009925117790605018477900087945
absolute error = 8.2751953436040694674091301e-06
relative error = 0.00041355282803843904791278003261091 %
h = 0.0001
x2[1] (analytic) = 1.0008137791129525587996200435147
x2[1] (numeric) = 1.000818414529685773609506302039
absolute error = 4.6354167332148098862585243e-06
relative error = 0.00046316475951433252988106382569099 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4680.7MB, alloc=4.7MB, time=561.70
NO POLE
NO POLE
t[1] = 0.5871
x1[1] (analytic) = 2.0010006869007104335850270167472
x1[1] (numeric) = 2.0009923926591153648224652646887
absolute error = 8.2942415950687625617520585e-06
relative error = 0.0004145046850491322428170206444277 %
h = 0.0001
x2[1] (analytic) = 1.0008138918432008788150274728918
x2[1] (numeric) = 1.0008185385315857839364855434569
absolute error = 4.6466883849051214580705651e-06
relative error = 0.0004642909558686587052904268217922 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4684.5MB, alloc=4.7MB, time=561.97
NO POLE
NO POLE
t[1] = 0.5872
x1[1] (analytic) = 2.0010005868370236302682400089289
x1[1] (numeric) = 2.000992273527242695634976800935
absolute error = 8.3133097809346332632079939e-06
relative error = 0.00041545763832460740002385337886823 %
h = 0.0001
x2[1] (analytic) = 1.0008140046010014381425891557224
x2[1] (numeric) = 1.0008186625761565454888357024394
absolute error = 4.6579751551073462465467170e-06
relative error = 0.0004654186625780041933814614553028 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4688.3MB, alloc=4.7MB, time=562.25
memory used=4692.1MB, alloc=4.7MB, time=562.54
NO POLE
NO POLE
t[1] = 0.5873
x1[1] (analytic) = 2.0010004867833426953300275274375
x1[1] (numeric) = 2.0009921543834413046494087664376
absolute error = 8.3323999013906806187609999e-06
relative error = 0.00041641168787446012041078247787198 %
h = 0.0001
x2[1] (analytic) = 1.0008141173863592474127786007264
x2[1] (numeric) = 1.0008187866634083789424892612003
absolute error = 4.6692770491315297106604739e-06
relative error = 0.00046654788017233562184119010360118 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4695.9MB, alloc=4.7MB, time=562.81
NO POLE
NO POLE
t[1] = 0.5874
x1[1] (analytic) = 2.0010003867396666282335793891105
x1[1] (numeric) = 2.000992035227710002111565984593
absolute error = 8.3515119566261220134045175e-06
relative error = 0.00041736683370829688721254987591993 %
h = 0.0001
x2[1] (analytic) = 1.0008142301992793183083299759019
x2[1] (numeric) = 1.0008189107933516072154113566973
absolute error = 4.6805940722889070813807954e-06
relative error = 0.00046767860918173798719164386937116 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4699.7MB, alloc=4.7MB, time=563.08
memory used=4703.6MB, alloc=4.7MB, time=563.36
NO POLE
NO POLE
t[1] = 0.5875
x1[1] (analytic) = 2.0010002867059944285421340892859
x1[1] (numeric) = 2.0009919160600475981489622682421
absolute error = 8.3706459468303931718210438e-06
relative error = 0.0004183230758357350661125626547236 %
h = 0.0001
x2[1] (analytic) = 1.0008143430397666635644435785191
x2[1] (numeric) = 1.0008190349659965554680658168077
absolute error = 4.6919262298919036222382886e-06
relative error = 0.00046881085013641468053090570013093 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4707.4MB, alloc=4.7MB, time=563.64
NO POLE
NO POLE
t[1] = 0.5876
x1[1] (analytic) = 2.0010001866823250959189687974353
x1[1] (numeric) = 2.0009917968804529027708087334832
absolute error = 8.3898018721931481600639521e-06
relative error = 0.0004192804142664029053344260279958 %
h = 0.0001
x2[1] (analytic) = 1.000814455907826296968991346713
x2[1] (numeric) = 1.0008191591813535511038812914412
absolute error = 4.7032735272541348899447282e-06
relative error = 0.00046994460356668751327933832804161 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4711.2MB, alloc=4.7MB, time=563.91
NO POLE
NO POLE
t[1] = 0.5877
x1[1] (analytic) = 2.0010000866686576301273893537966
x1[1] (numeric) = 2.0009916776889247258680021123456
absolute error = 8.4089797329042593872414510e-06
relative error = 0.00042023884900993953573358173667639 %
h = 0.0001
x2[1] (analytic) = 1.0008145688034632333627224126823
x2[1] (numeric) = 1.0008192834394329237697174786092
absolute error = 4.7146359696904069950659269e-06
relative error = 0.00047107987000299674293099816291107 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4715.0MB, alloc=4.7MB, time=564.18
memory used=4718.8MB, alloc=4.7MB, time=564.46
NO POLE
NO POLE
t[1] = 0.5878
x1[1] (analytic) = 2.0009999866649910310307202670067
x1[1] (numeric) = 2.0009915584854618772131130643235
absolute error = 8.4281795291538176072026832e-06
relative error = 0.00042119838007599497088905188990788 %
h = 0.0001
x2[1] (analytic) = 1.0008146817266824886394686975041
x2[1] (numeric) = 1.0008194077402450053563314454699
absolute error = 4.7260135625167168627479658e-06
relative error = 0.00047221664997590109881023604146631 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4722.6MB, alloc=4.7MB, time=564.73
NO POLE
NO POLE
t[1] = 0.5879
x1[1] (analytic) = 2.0009998866713242985922947127351
x1[1] (numeric) = 2.0009914392700631664603744867703
absolute error = 8.4474012611321319202259648e-06
relative error = 0.00042215900747423010719528829205349 %
h = 0.0001
x2[1] (analytic) = 1.0008147946774890797463505475703
x2[1] (numeric) = 1.0008195320838001299988440443676
absolute error = 4.7374063110502524934967973e-06
relative error = 0.00047335494401607780783348601571236 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4726.4MB, alloc=4.7MB, time=565.00
memory used=4730.3MB, alloc=4.7MB, time=565.27
NO POLE
NO POLE
t[1] = 0.588
x1[1] (analytic) = 2.0009997866876564328754445333169
x1[1] (numeric) = 2.000991320042727403145669824153
absolute error = 8.4666449290297297747091639e-06
relative error = 0.00042312073121431672395412719610014 %
h = 0.0001
x2[1] (analytic) = 1.0008149076558880246839824126574
x2[1] (numeric) = 1.0008196564701086340772064238867
absolute error = 4.7488142206093932240112293e-06
relative error = 0.00047449475265432262027624299346566 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4734.1MB, alloc=4.7MB, time=565.54
NO POLE
NO POLE
t[1] = 0.5881
x1[1] (analytic) = 2.0009996867139864340434902383864
x1[1] (numeric) = 2.0009912008034533966865213761671
absolute error = 8.4859105330373569688622193e-06
relative error = 0.00042408355130593748346684952373877 %
h = 0.0001
x2[1] (analytic) = 1.0008150206618843425066785656344
x2[1] (numeric) = 1.0008197808991808562166666349381
absolute error = 4.7602372965137099880693037e-06
relative error = 0.0004756360764215498355452304637821 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4737.9MB, alloc=4.7MB, time=565.81
NO POLE
NO POLE
t[1] = 0.5882
x1[1] (analytic) = 2.0009995867503133023597310065101
x1[1] (numeric) = 2.0009910815522399563820786047111
absolute error = 8.5051980733459776524017990e-06
relative error = 0.00042504746775878593112634653744202 %
h = 0.0001
x2[1] (analytic) = 1.0008151336954830533226588638201
x2[1] (numeric) = 1.0008199053710271372882363318982
absolute error = 4.7716755440839655774680781e-06
relative error = 0.00047677891584879232795575913030204 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4741.7MB, alloc=4.7MB, time=566.08
memory used=4745.5MB, alloc=4.7MB, time=566.36
NO POLE
NO POLE
t[1] = 0.5883
x1[1] (analytic) = 2.0009994867966360381874346878198
x1[1] (numeric) = 2.000990962289085891413106439721
absolute error = 8.5245075501467743282480988e-06
relative error = 0.00042601248058256649550939097984382 %
h = 0.0001
x2[1] (analytic) = 1.0008152467566891782942545519955
x2[1] (numeric) = 1.0008200298856578204091575688193
absolute error = 4.7831289686421149030168238e-06
relative error = 0.00047792327146720157251427769516619 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4749.3MB, alloc=4.7MB, time=566.63
NO POLE
NO POLE
t[1] = 0.5884
x1[1] (analytic) = 2.0009993868529536419898278076453
x1[1] (numeric) = 2.000990843013990010841973583865
absolute error = 8.5438389636311478542237803e-06
relative error = 0.00042697858978699448846901364575085 %
h = 0.0001
x2[1] (analytic) = 1.0008153598455077396381141070817
x2[1] (numeric) = 1.0008201544430832509433696907305
absolute error = 4.7945975755113052555836488e-06
relative error = 0.0004790691438080476707061165964836 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4753.2MB, alloc=4.7MB, time=566.90
memory used=4757.0MB, alloc=4.7MB, time=567.19
NO POLE
NO POLE
t[1] = 0.5885
x1[1] (analytic) = 2.0009992869192651143300855711465
x1[1] (numeric) = 2.0009907237269511236126408160971
absolute error = 8.5631923139907174447550494e-06
relative error = 0.00042794579538179610522698544207048 %
h = 0.0001
x2[1] (analytic) = 1.0008154729619437606254091244902
x2[1] (numeric) = 1.0008202790433137765019763200486
absolute error = 4.8060813700158765671955584e-06
relative error = 0.00048021653340271937628842589198815 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4760.8MB, alloc=4.7MB, time=567.47
NO POLE
NO POLE
t[1] = 0.5886
x1[1] (analytic) = 2.0009991869955694558713218689452
x1[1] (numeric) = 2.0009906044279680385506492940712
absolute error = 8.5825676014173206725748740e-06
relative error = 0.00042891409737670842446640487099971 %
h = 0.0001
x2[1] (analytic) = 1.000815586106002265582040246155
x2[1] (numeric) = 1.000820403686359746943712438118
absolute error = 4.8175803574813616721919630e-06
relative error = 0.00048136544078272412108830818173411 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4764.6MB, alloc=4.7MB, time=567.75
NO POLE
NO POLE
memory used=4768.4MB, alloc=4.7MB, time=568.02
t[1] = 0.5887
x1[1] (analytic) = 2.0009990870818656673765792837562
x1[1] (numeric) = 2.0009904851170395643631088554139
absolute error = 8.6019648261030134704283423e-06
relative error = 0.0004298834957814794084243910067524 %
h = 0.0001
x2[1] (analytic) = 1.0008156992776882798888431302532
x2[1] (numeric) = 1.0008205283722315143754115618983
absolute error = 4.8290945432344865684316451e-06
relative error = 0.00048251586647968804080614770245827 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4772.2MB, alloc=4.7MB, time=568.30
NO POLE
NO POLE
t[1] = 0.5888
x1[1] (analytic) = 2.0009989871781527497088190980181
x1[1] (numeric) = 2.0009903657941645096386863178572
absolute error = 8.6213839882400701327801609e-06
relative error = 0.00043085399060586790298488192615643 %
h = 0.0001
x2[1] (analytic) = 1.0008158124770068299817944626244
x2[1] (numeric) = 1.0008206531009394331524730158201
absolute error = 4.8406239326031706785531957e-06
relative error = 0.00048366781102535600082413654635225 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4776.0MB, alloc=4.7MB, time=568.58
NO POLE
NO POLE
t[1] = 0.5889
x1[1] (analytic) = 2.0009988872844297038309113025222
x1[1] (numeric) = 2.0009902464593416828475937782303
absolute error = 8.6408250880209833175242919e-06
relative error = 0.00043182558185964363777153855345318 %
h = 0.0001
x2[1] (analytic) = 1.0008159257039629433522180098952
x2[1] (numeric) = 1.0008207778724938598793292988267
absolute error = 4.8521685309165271112889315e-06
relative error = 0.00048482127495159162201999907686356 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4779.9MB, alloc=4.7MB, time=568.85
memory used=4783.7MB, alloc=4.7MB, time=569.12
NO POLE
NO POLE
t[1] = 0.589
x1[1] (analytic) = 2.0009987874006955308056246060418
x1[1] (numeric) = 2.0009901271125698923415769103102
absolute error = 8.6602881256384640476957316e-06
relative error = 0.00043279826955258722624075404954574 %
h = 0.0001
x2[1] (analytic) = 1.0008160389585616485469907143189
x2[1] (numeric) = 1.0008209026869051534099135466218
absolute error = 4.8637283435048629228323029e-06
relative error = 0.00048597625879037730658591547422767 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4787.5MB, alloc=4.7MB, time=569.39
NO POLE
NO POLE
t[1] = 0.5891
x1[1] (analytic) = 2.0009986875269492317956164459595
x1[1] (numeric) = 2.000990007753847946353903261532
absolute error = 8.6797731012854417131844275e-06
relative error = 0.00043377205369449016577476858109051 %
h = 0.0001
x2[1] (analytic) = 1.000816152240807975168748830337
x2[1] (numeric) = 1.0008210275441836748481270891424
absolute error = 4.8753033756996793782588054e-06
relative error = 0.00048713276307381426385264560319365 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4791.3MB, alloc=4.7MB, time=569.66
memory used=4795.1MB, alloc=4.7MB, time=569.94
NO POLE
NO POLE
t[1] = 0.5892
x1[1] (analytic) = 2.0009985876631898080634229998941
x1[1] (numeric) = 2.0009898883831746529993505485576
absolute error = 8.6992800151550640724513365e-06
relative error = 0.0004347469342951548377748896146712 %
h = 0.0001
x2[1] (analytic) = 1.0008162655507069538760941028727
x2[1] (numeric) = 1.0008211524443397875483071032755
absolute error = 4.8868936328336722130004028e-06
relative error = 0.00048829078833412253611885397571828 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4798.9MB, alloc=4.7MB, time=570.21
NO POLE
NO POLE
t[1] = 0.5893
x1[1] (analytic) = 2.0009984878094162609714491983255
x1[1] (numeric) = 2.0009897690005488202741949517035
absolute error = 8.7188088674406972542466220e-06
relative error = 0.0004357229113643945077548176214246 %
h = 0.0001
x2[1] (analytic) = 1.0008163788882636163837999873621
x2[1] (numeric) = 1.0008212773873838571156943608387
absolute error = 4.8984991202407318943734766e-06
relative error = 0.00048945033510364102448563718088683 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4802.7MB, alloc=4.7MB, time=570.50
NO POLE
NO POLE
t[1] = 0.5894
x1[1] (analytic) = 2.0009983879656275919819587382194
x1[1] (numeric) = 2.0009896496059692560561994082271
absolute error = 8.7383596583359257593299923e-06
relative error = 0.00043669998491203332543407731236953 %
h = 0.0001
x2[1] (analytic) = 1.0008164922534829954630179115346
x2[1] (numeric) = 1.000821402373326251406901071843
absolute error = 4.9101198432559438831603084e-06
relative error = 0.00049061140391482751469625439490728 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4806.6MB, alloc=4.7MB, time=570.77
memory used=4810.4MB, alloc=4.7MB, time=571.05
NO POLE
NO POLE
t[1] = 0.5895
x1[1] (analytic) = 2.0009982881318228026570640976492
x1[1] (numeric) = 2.000989530199434768104601904472
absolute error = 8.7579323880345524621931772e-06
relative error = 0.00043767815494790632483155424982831 %
h = 0.0001
x2[1] (analytic) = 1.0008166056463701249414835789479
x2[1] (numeric) = 1.0008215274021773405303788230577
absolute error = 4.9217558072155888952441098e-06
relative error = 0.00049177399530025870298106235337018 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4814.2MB, alloc=4.7MB, time=571.32
NO POLE
NO POLE
t[1] = 0.5896
x1[1] (analytic) = 2.0009981883080008946587165514177
x1[1] (numeric) = 2.0009894107809441640601037668713
absolute error = 8.7775270567305986127845464e-06
relative error = 0.00043865742148185942435913701516193 %
h = 0.0001
x2[1] (analytic) = 1.0008167190669300397037233142875
x2[1] (numeric) = 1.0008216524739474968468866118963
absolute error = 4.9334070174571431632976088e-06
relative error = 0.00049293810979263022190765561838427 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4818.0MB, alloc=4.7MB, time=571.59
memory used=4821.8MB, alloc=4.7MB, time=571.86
NO POLE
NO POLE
t[1] = 0.5897
x1[1] (analytic) = 2.000998088494160869748696187676
x1[1] (numeric) = 2.0009892913504962514448579518097
absolute error = 8.7971436646183038382358663e-06
relative error = 0.00043963778452374942691546476321568 %
h = 0.0001
x2[1] (analytic) = 1.0008168325151677756912604504393
x2[1] (numeric) = 1.0008217775886470949699589756429
absolute error = 4.9450734793192786985252036e-06
relative error = 0.00049410374792475666623621316301409 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4825.6MB, alloc=4.7MB, time=572.13
NO POLE
NO POLE
t[1] = 0.5898
x1[1] (analytic) = 2.0009979886903017297886019255421
x1[1] (numeric) = 2.0009891719080898376624573343435
absolute error = 8.8167822118921261445911986e-06
relative error = 0.00044061924408344401997978033370123 %
h = 0.0001
x2[1] (analytic) = 1.0008169459910883699028217573416
x2[1] (numeric) = 1.0008219027462865117663742160378
absolute error = 4.9567551981418635524586962e-06
relative error = 0.00049527091022957161878005244529603 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4829.4MB, alloc=4.7MB, time=572.40
NO POLE
NO POLE
t[1] = 0.5899
x1[1] (analytic) = 2.0009978888964224767398415337162
x1[1] (numeric) = 2.0009890524537237299979229957794
absolute error = 8.8364426987467419185379368e-06
relative error = 0.00044160180017082177570588872492443 %
h = 0.0001
x2[1] (analytic) = 1.0008170594946968603945439126269
x2[1] (numeric) = 1.0008220279468761263566227192423
absolute error = 4.9684521792659620788066154e-06
relative error = 0.00049643959724012767627139186430615 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4833.3MB, alloc=4.7MB, time=572.67
memory used=4837.1MB, alloc=4.7MB, time=572.95
NO POLE
NO POLE
t[1] = 0.59
x1[1] (analytic) = 2.000997789112522112663621650095
x1[1] (numeric) = 2.0009889329873967356176925101106
absolute error = 8.8561251253770459291399844e-06
relative error = 0.00044258545279577215101622112007466 %
h = 0.0001
x2[1] (analytic) = 1.0008171730259982862801800140618
x2[1] (numeric) = 1.0008221531904263201153753712012
absolute error = 4.9801644280338351953571394e-06
relative error = 0.00049760980948959647523232255067653 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4840.9MB, alloc=4.7MB, time=573.23
NO POLE
NO POLE
t[1] = 0.5901
x1[1] (analytic) = 2.0009976893385996397209378023838
x1[1] (numeric) = 2.0009888135091076615696082293115
absolute error = 8.8758294919781513295730723e-06
relative error = 0.0004435702019681954876960043414497 %
h = 0.0001
x2[1] (analytic) = 1.0008172865849976877313061337908
x2[1] (numeric) = 1.0008222784769474766719520684229
absolute error = 4.9918919497889406459346321e-06
relative error = 0.00049878154751126871785099083361062 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4844.7MB, alloc=4.7MB, time=573.50
memory used=4848.5MB, alloc=4.7MB, time=573.78
NO POLE
NO POLE
t[1] = 0.5902
x1[1] (analytic) = 2.0009975895746540601725644297064
x1[1] (numeric) = 2.0009886940188553147829055674898
absolute error = 8.8955557987453896588622166e-06
relative error = 0.00044455604769800301248753579289708 %
h = 0.0001
x2[1] (analytic) = 1.0008174001717001059775279143957
x2[1] (numeric) = 1.0008224038064499819107903241956
absolute error = 5.0036347498759332624097999e-06
relative error = 0.00049995481183855419786299199701174 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4852.3MB, alloc=4.7MB, time=574.05
NO POLE
NO POLE
t[1] = 0.5903
x1[1] (analytic) = 2.0009974898206843763790449052128
x1[1] (numeric) = 2.0009885745166385020682012838966
absolute error = 8.9153040458743108436213162e-06
relative error = 0.00044554298999511683718456386079811 %
h = 0.0001
x2[1] (analytic) = 1.0008175137861105833066872067765
x2[1] (numeric) = 1.0008225291789442239719139702599
absolute error = 5.0153928336406652267634834e-06
relative error = 0.00050112960300498182643797669669258 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4856.1MB, alloc=4.7MB, time=574.33
NO POLE
NO POLE
t[1] = 0.5904
x1[1] (analytic) = 2.0009973900766895908006815596849
x1[1] (numeric) = 2.0009884550024560301174817647941
absolute error = 8.9350742335606831997948908e-06
relative error = 0.00044653102886946995872677380389038 %
h = 0.0001
x2[1] (analytic) = 1.0008176274282341630650687498631
x2[1] (numeric) = 1.0008226545944405932514019539557
absolute error = 5.0271662064301863332040926e-06
relative error = 0.00050230592154419965807147083107596 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4860.0MB, alloc=4.7MB, time=574.59
memory used=4863.8MB, alloc=4.7MB, time=574.87
NO POLE
NO POLE
t[1] = 0.5905
x1[1] (analytic) = 2.000997290342668705997525706139
x1[1] (numeric) = 2.0009883354763067055040913041809
absolute error = 8.9548663620004934344019581e-06
relative error = 0.00044752016433100625929437907226999 %
h = 0.0001
x2[1] (analytic) = 1.0008177410980758896576068921653
x2[1] (numeric) = 1.0008227800529494824018572308641
absolute error = 5.0389548735927442503386988e-06
relative error = 0.00050348376798997491648191011739347 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4867.6MB, alloc=4.7MB, time=575.15
NO POLE
NO POLE
t[1] = 0.5906
x1[1] (analytic) = 2.0009971906186207246293676654266
x1[1] (numeric) = 2.0009882159381893346827203833744
absolute error = 8.9746804313899466472820522e-06
relative error = 0.00044851039638968050640281815583413 %
h = 0.0001
x2[1] (analytic) = 1.0008178547956408085480923551718
x2[1] (numeric) = 1.0008229055544812863328757529624
absolute error = 5.0507588404777847833977906e-06
relative error = 0.0005046631428761940205128900458314 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4871.4MB, alloc=4.7MB, time=575.42
memory used=4875.2MB, alloc=4.7MB, time=575.70
NO POLE
NO POLE
t[1] = 0.5907
x1[1] (analytic) = 2.0009970909045446494557267928326
x1[1] (numeric) = 2.0009880963881027239893939494508
absolute error = 8.9945164419254663328433818e-06
relative error = 0.00044950172505545835299755689250975 %
h = 0.0001
x2[1] (analytic) = 1.0008179685209339662593790386022
x2[1] (numeric) = 1.0008230310990464022115155523123
absolute error = 5.0625781124359521365137101e-06
relative error = 0.00050584404673686261004063275333719 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4879.0MB, alloc=4.7MB, time=575.97
NO POLE
NO POLE
t[1] = 0.5908
x1[1] (analytic) = 2.0009969912004394833358415056698
x1[1] (numeric) = 2.0009879768260456796414596925424
absolute error = 9.0143743938036943818131274e-06
relative error = 0.00045049415033831633754899619659956 %
h = 0.0001
x2[1] (analytic) = 1.0008180822739604103735908675254
x2[1] (numeric) = 1.0008231566866552294627659202998
absolute error = 5.0744126948190891750527744e-06
relative error = 0.000507026480106105571886671259664 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4882.9MB, alloc=4.7MB, time=576.24
NO POLE
NO POLE
memory used=4886.7MB, alloc=4.7MB, time=576.51
t[1] = 0.5909
x1[1] (analytic) = 2.0009968915063042292286593118718
x1[1] (numeric) = 2.0009878572520170077375763219916
absolute error = 9.0342542872214910829898802e-06
relative error = 0.00045148767224824188414748534248788 %
h = 0.0001
x2[1] (analytic) = 1.0008181960547251895323286813481
x2[1] (numeric) = 1.0008232823173181697700166824468
absolute error = 5.0862625929802376880010987e-06
relative error = 0.00050821044351816706573575262729204 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4890.5MB, alloc=4.7MB, time=576.79
NO POLE
NO POLE
t[1] = 0.591
x1[1] (analytic) = 2.0009967918221378901928268395824
x1[1] (numeric) = 2.0009877376660155142577018413623
absolute error = 9.0541561223759351249982201e-06
relative error = 0.00045248229079523330259844067408249 %
h = 0.0001
x2[1] (analytic) = 1.0008183098632333534368771646859
x2[1] (numeric) = 1.0008234079910456270755275688133
absolute error = 5.0981278122736386504041274e-06
relative error = 0.00050939593750741055005896061764022 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4894.3MB, alloc=4.7MB, time=577.06
NO POLE
NO POLE
t[1] = 0.5911
x1[1] (analytic) = 2.0009966921479394693866798677418
x1[1] (numeric) = 2.0009876180680400050630818223079
absolute error = 9.0740798994643235980454339e-06
relative error = 0.00045347800598929978851756979527537 %
h = 0.0001
x2[1] (analytic) = 1.0008184236994899528484118201209
x2[1] (numeric) = 1.0008235337078480075808976800097
absolute error = 5.1100083580547324858598888e-06
relative error = 0.00051058296260831880804205933520542 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4898.1MB, alloc=4.7MB, time=577.33
memory used=4901.9MB, alloc=4.7MB, time=577.61
NO POLE
NO POLE
t[1] = 0.5912
x1[1] (analytic) = 2.0009965924837079700682333576703
x1[1] (numeric) = 2.0009874984580892858962376772961
absolute error = 9.0940256186841719956803742e-06
relative error = 0.00045447481784046142342620126672027 %
h = 0.0001
x2[1] (analytic) = 1.0008185375635000395882059828587
x2[1] (numeric) = 1.000823659467735719747535048838
absolute error = 5.1219042356801593290659793e-06
relative error = 0.00051177151935549397351905838202531 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4905.7MB, alloc=4.7MB, time=577.88
NO POLE
NO POLE
t[1] = 0.5913
x1[1] (analytic) = 2.0009964928294423955951714856482
x1[1] (numeric) = 2.0009873788361621623809549311906
absolute error = 9.1139932802332142165544576e-06
relative error = 0.00045547272635874917484671973927263 %
h = 0.0001
x2[1] (analytic) = 1.0008186514552686665378378772894
x2[1] (numeric) = 1.0008237852707191742971262975817
absolute error = 5.1338154505077592884202923e-06
relative error = 0.00051296160828365755691100097407564 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4909.6MB, alloc=4.7MB, time=578.15
memory used=4913.4MB, alloc=4.7MB, time=578.43
NO POLE
NO POLE
t[1] = 0.5914
x1[1] (analytic) = 2.0009963931851417494248376764925
x1[1] (numeric) = 2.0009872592022574400222714916891
absolute error = 9.1339828843094025661848034e-06
relative error = 0.00045647173155420489639810658437229 %
h = 0.0001
x2[1] (analytic) = 1.0008187653748008876393977154633
x2[1] (numeric) = 1.0008239111168087842121063909638
absolute error = 5.1457420078965727086755005e-06
relative error = 0.00051415322992765047116997582171204 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4917.2MB, alloc=4.7MB, time=578.70
NO POLE
NO POLE
t[1] = 0.5915
x1[1] (analytic) = 2.0009962935508050351142246381309
x1[1] (numeric) = 2.0009871395563739242064659186177
absolute error = 9.1539944311109077587195132e-06
relative error = 0.0004574718334368813278915860416691 %
h = 0.0001
x2[1] (analytic) = 1.0008188793221017578956948374885
x2[1] (numeric) = 1.0008240370060149647361284847915
absolute error = 5.1576839132068404336473030e-06
relative error = 0.00051534638482243305772835384601793 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4921.0MB, alloc=4.7MB, time=578.98
NO POLE
NO POLE
t[1] = 0.5916
x1[1] (analytic) = 2.000996193926431256319964397171
x1[1] (numeric) = 2.0009870198985104202010456920819
absolute error = 9.1740279208361189187050891e-06
relative error = 0.00045847303201684209542637676925957 %
h = 0.0001
x2[1] (analytic) = 1.0008189932971763333704648938587
x2[1] (numeric) = 1.0008241629383481333745338703077
absolute error = 5.1696411718000040689764490e-06
relative error = 0.00051654107350308511245325084285773 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4924.8MB, alloc=4.7MB, time=579.26
memory used=4928.6MB, alloc=4.7MB, time=579.53
NO POLE
NO POLE
t[1] = 0.5917
x1[1] (analytic) = 2.000996094312019416798318335467
x1[1] (numeric) = 2.0009869002286657331547354794737
absolute error = 9.1940833536836435828559933e-06
relative error = 0.00045947532730416171148554893677424 %
h = 0.0001
x2[1] (analytic) = 1.0008191073000296711885770697203
x2[1] (numeric) = 1.0008242889138187098948220142681
absolute error = 5.1816137890387062449445478e-06
relative error = 0.00051773729650480591160621699657673 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4932.4MB, alloc=4.7MB, time=579.81
NO POLE
NO POLE
t[1] = 0.5918
x1[1] (analytic) = 2.0009959947075685204051672276825
x1[1] (numeric) = 2.0009867805468386680974654013347
absolute error = 9.2141607298523077018263478e-06
relative error = 0.00046047871930892557503198679665887 %
h = 0.0001
x2[1] (analytic) = 1.0008192213306668295362413510869
x2[1] (numeric) = 1.0008244149324371163271206947632
absolute error = 5.1936017702867908793436763e-06
relative error = 0.00051893505436291423780815429513729 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4936.3MB, alloc=4.7MB, time=580.09
memory used=4940.1MB, alloc=4.7MB, time=580.37
NO POLE
NO POLE
t[1] = 0.5919
x1[1] (analytic) = 2.0009958951130775710960012798489
x1[1] (numeric) = 2.0009866608530280299403592960753
absolute error = 9.2342600495411556419837736e-06
relative error = 0.00046148320804122997160445670397432 %
h = 0.0001
x2[1] (analytic) = 1.0008193353890928676612158330085
x2[1] (numeric) = 1.000824540994213776964656232805
absolute error = 5.2056051209093034403997965e-06
relative error = 0.00052013434761284840600946302834591 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4943.9MB, alloc=4.7MB, time=580.64
NO POLE
NO POLE
t[1] = 0.592
x1[1] (analytic) = 2.0009957955285455729259101689204
x1[1] (numeric) = 2.00098654114723262347572298355
absolute error = 9.2543813129494501871853704e-06
relative error = 0.0004624887935111820734137806350001 %
h = 0.0001
x2[1] (analytic) = 1.0008194494753128458730140697052
x2[1] (numeric) = 1.0008246670991591183642238196972
absolute error = 5.2176238462724912097499920e-06
relative error = 0.00052133517679016628946541820108158 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4947.7MB, alloc=4.7MB, time=580.91
NO POLE
NO POLE
t[1] = 0.5921
x1[1] (analytic) = 2.0009956959539715300495730833249
x1[1] (numeric) = 2.0009864214294512533770325274882
absolute error = 9.2745245202766725405558367e-06
relative error = 0.00046349547572889993943911519995416 %
h = 0.0001
x2[1] (analytic) = 1.0008195635893318255431124666733
x2[1] (numeric) = 1.0008247932472835693466579402085
absolute error = 5.2296579517438035454735352e-06
relative error = 0.00052253754243054534571677696318634 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4951.5MB, alloc=4.7MB, time=581.19
memory used=4955.3MB, alloc=4.7MB, time=581.47
NO POLE
NO POLE
t[1] = 0.5922
x1[1] (analytic) = 2.000995596389354446721248764511
x1[1] (numeric) = 2.0009863016996827241989224967808
absolute error = 9.2946896717225223262677302e-06
relative error = 0.00046450325470451251552433614514111 %
h = 0.0001
x2[1] (analytic) = 1.0008196777311548691051577147711
x2[1] (numeric) = 1.0008249194385975609973028915681
absolute error = 5.2417074426918921451767970e-06
relative error = 0.0005237414450697826425756181676419 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4959.1MB, alloc=4.7MB, time=581.74
NO POLE
NO POLE
t[1] = 0.5923
x1[1] (analytic) = 2.0009954968346933272947655494904
x1[1] (numeric) = 2.0009861819579258403771742256223
absolute error = 9.3148767674869175913238681e-06
relative error = 0.00046551213044815963447452832484904 %
h = 0.0001
x2[1] (analytic) = 1.0008197919007870400551742662949
x2[1] (numeric) = 1.0008250456731115266664833983031
absolute error = 5.2537723244866113091320082e-06
relative error = 0.00052494688524379488411641490883798 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4963.0MB, alloc=4.7MB, time=582.02
memory used=4966.8MB, alloc=4.7MB, time=582.30
NO POLE
NO POLE
t[1] = 0.5924
x1[1] (analytic) = 2.0009953972899871762235114143759
x1[1] (numeric) = 2.0009860622041794062287040725085
absolute error = 9.3350858077699948073418674e-06
relative error = 0.00046652210296999201615258114830182 %
h = 0.0001
x2[1] (analytic) = 1.0008199060982334029517718530506
x2[1] (numeric) = 1.0008251719508359019699753229367
absolute error = 5.2658526024990182034698861e-06
relative error = 0.00052615386348861843667234132235921 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4970.6MB, alloc=4.7MB, time=582.57
NO POLE
NO POLE
t[1] = 0.5925
x1[1] (analytic) = 2.0009952977552349980604240189159
x1[1] (numeric) = 2.0009859424384422259515516780896
absolute error = 9.3553167927721088723408263e-06
relative error = 0.00046753317228017126757588955694932 %
h = 0.0001
x2[1] (analytic) = 1.0008200203234990234163530464328
x2[1] (numeric) = 1.0008252982717811247894764725671
absolute error = 5.2779482821013731234261343e-06
relative error = 0.00052736238034040935483681437813509 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4974.4MB, alloc=4.7MB, time=582.84
NO POLE
NO POLE
memory used=4978.2MB, alloc=4.7MB, time=583.12
t[1] = 0.5926
x1[1] (analytic) = 2.0009951982304357974579807520231
x1[1] (numeric) = 2.0009858226607131036248682218784
absolute error = 9.3755697226938331125301447e-06
relative error = 0.00046854533838886988301316043245513 %
h = 0.0001
x2[1] (analytic) = 1.0008201345765889681333208595162
x2[1] (numeric) = 1.0008254246359576352730775013456
absolute error = 5.2900593686671397566418294e-06
relative error = 0.00052857243633544340747027196830505 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4982.0MB, alloc=4.7MB, time=583.40
NO POLE
NO POLE
t[1] = 0.5927
x1[1] (analytic) = 2.0009950987155885791681887782999
x1[1] (numeric) = 2.0009857028709908432089046778135
absolute error = 9.3958445977359592841004864e-06
relative error = 0.00046955860130627124408132456562638 %
h = 0.0001
x2[1] (analytic) = 1.0008202488575083048502863911704
x2[1] (numeric) = 1.000825551043375875835732908874
absolute error = 5.3021858675709854465177036e-06
relative error = 0.0005297840320101161037121881215028 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4985.9MB, alloc=4.7MB, time=583.67
NO POLE
NO POLE
t[1] = 0.5928
x1[1] (analytic) = 2.000994999210692348042575085558
x1[1] (numeric) = 2.000985583069274248545000068678
absolute error = 9.4161414180994975750168800e-06
relative error = 0.00047057296104256961984255403667015 %
h = 0.0001
x2[1] (analytic) = 1.0008203631662621023782765122049
x2[1] (numeric) = 1.0008256774940462911597321345406
absolute error = 5.3143277841887814556223357e-06
relative error = 0.00053099716790094271899832652495051 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4989.7MB, alloc=4.7MB, time=583.94
memory used=4993.5MB, alloc=4.7MB, time=584.22
NO POLE
NO POLE
t[1] = 0.5929
x1[1] (analytic) = 2.0009948997157461090321765333336
x1[1] (numeric) = 2.0009854632555621233555697193727
absolute error = 9.4364601839856766068139609e-06
relative error = 0.00047158841760797016690138512702593 %
h = 0.0001
x2[1] (analytic) = 1.0008204775028554305919415935533
x2[1] (numeric) = 1.0008258039879793281951707478137
absolute error = 5.3264851238976032291542604e-06
relative error = 0.00053221184454455832108323327593543 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=4997.3MB, alloc=4.7MB, time=584.49
NO POLE
NO POLE
t[1] = 0.593
x1[1] (analytic) = 2.0009948002307488671875299023983
x1[1] (numeric) = 2.0009853434298532712440935090445
absolute error = 9.4568008955959434363933538e-06
relative error = 0.00047260497101268892950194673309847 %
h = 0.0001
x2[1] (analytic) = 1.0008205918672933604297632765047
x2[1] (numeric) = 1.0008259305251854361604217345121
absolute error = 5.3386578920757306584580074e-06
relative error = 0.00053342806247771779606796994408205 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5001.1MB, alloc=4.7MB, time=584.76
NO POLE
NO POLE
memory used=5004.9MB, alloc=4.7MB, time=585.05
t[1] = 0.5931
x1[1] (analytic) = 2.000994700755699627658661945264
x1[1] (numeric) = 2.0009852235921464956951041220689
absolute error = 9.4771635531319635578231951e-06
relative error = 0.00047362262126695283962529425221558 %
h = 0.0001
x2[1] (analytic) = 1.000820706259580963894262284991
x2[1] (numeric) = 1.0008260571056750665426068790725
absolute error = 5.3508460941026483445940815e-06
relative error = 0.00053464582223729587443308799582721 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5008.7MB, alloc=4.7MB, time=585.33
NO POLE
NO POLE
t[1] = 0.5932
x1[1] (analytic) = 2.0009946012905973956950794376833
x1[1] (numeric) = 2.0009851037424406000741752978878
absolute error = 9.4975481567956209041397955e-06
relative error = 0.00047464136838099971708684895611236 %
h = 0.0001
x2[1] (analytic) = 1.0008208206797233140522062799384
x2[1] (numeric) = 1.0008261837294586730980682428323
absolute error = 5.3630497353590458619628939e-06
relative error = 0.00053586512436028715707684553255847 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5012.6MB, alloc=4.7MB, time=585.60
NO POLE
NO POLE
t[1] = 0.5933
x1[1] (analytic) = 2.0009945018354411766457592311444
x1[1] (numeric) = 2.0009849838807343876279100797013
absolute error = 9.5179547067890178491514431e-06
relative error = 0.00047566121236507826963394286724374 %
h = 0.0001
x2[1] (analytic) = 1.0008209351277254850348177556912
x2[1] (numeric) = 1.0008263103965467118528397383477
absolute error = 5.3752688212268180219826565e-06
relative error = 0.00053708596938380614135866745371569 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5016.4MB, alloc=4.7MB, time=585.87
memory used=5020.2MB, alloc=4.7MB, time=586.15
NO POLE
NO POLE
t[1] = 0.5934
x1[1] (analytic) = 2.0009944023902299759591383063612
x1[1] (numeric) = 2.0009848640070266614839290620142
absolute error = 9.5383832033144752092443470e-06
relative error = 0.00047668215322944809304346913823437 %
h = 0.0001
x2[1] (analytic) = 1.0008210496035925520379819785167
x2[1] (numeric) = 1.0008264371069496411031187997667
absolute error = 5.3875033570890651368212500e-06
relative error = 0.00053830835784508724714785005620754 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5024.0MB, alloc=4.7MB, time=586.42
NO POLE
NO POLE
t[1] = 0.5935
x1[1] (analytic) = 2.0009943029549627991831038277574
x1[1] (numeric) = 2.0009847441213162246508586370364
absolute error = 9.5588336465745322451907210e-06
relative error = 0.00047770419098437967121963791478523 %
h = 0.0001
x2[1] (analytic) = 1.0008211641073295913224549671985
x2[1] (numeric) = 1.0008265638606779214157381492757
absolute error = 5.3997533483300932831820772e-06
relative error = 0.00053953229028148484287751114141708 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5027.8MB, alloc=4.7MB, time=586.69
memory used=5031.6MB, alloc=4.7MB, time=586.98
NO POLE
NO POLE
t[1] = 0.5936
x1[1] (analytic) = 2.0009942035296386519649831989454
x1[1] (numeric) = 2.0009846242236018800183192399381
absolute error = 9.5793060367719466639590073e-06
relative error = 0.00047872732564015437629183767734795 %
h = 0.0001
x2[1] (analytic) = 1.0008212786389416802140715157289
x2[1] (numeric) = 1.0008266906577420156286376596396
absolute error = 5.4120188003354145661439107e-06
relative error = 0.00054075776723047327160378648121945 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5035.4MB, alloc=4.7MB, time=587.26
NO POLE
NO POLE
t[1] = 0.5937
x1[1] (analytic) = 2.0009941041142565400515341191997
x1[1] (numeric) = 2.0009845043138824303569135929582
absolute error = 9.5998003741096946205262415e-06
relative error = 0.00047975155720706446871260212684395 %
h = 0.0001
x2[1] (analytic) = 1.0008213931984338971039532581057
x2[1] (numeric) = 1.0008268174981523888513363128545
absolute error = 5.4242997184917473830547488e-06
relative error = 0.00054198478922964687707027395403099 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5039.3MB, alloc=4.7MB, time=587.54
NO POLE
NO POLE
t[1] = 0.5938
x1[1] (analytic) = 2.0009940047088154692889346409242
x1[1] (numeric) = 2.0009843843921566783182149483674
absolute error = 9.6203166587909707196925568e-06
relative error = 0.00048077688569541309735568250978928 %
h = 0.0001
x2[1] (analytic) = 1.0008215077858113214487167752441
x2[1] (numeric) = 1.0008269443819195084654042549328
absolute error = 5.4365961081870166874796887e-06
relative error = 0.00054321335681672002977772619226186 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5043.1MB, alloc=4.7MB, time=587.80
memory used=5046.9MB, alloc=4.7MB, time=588.10
NO POLE
NO POLE
t[1] = 0.5939
x1[1] (analytic) = 2.0009939053133144456227732281143
x1[1] (numeric) = 2.0009842644584234264347553302847
absolute error = 9.6408548910191880178978296e-06
relative error = 0.00048180331111551429961422549307927 %
h = 0.0001
x2[1] (analytic) = 1.0008216224010790337706817440114
x2[1] (numeric) = 1.0008270713090538441249349468395
absolute error = 5.4489079748103542532028281e-06
relative error = 0.00054444347052952715305899278235272 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5050.7MB, alloc=4.7MB, time=588.37
NO POLE
NO POLE
t[1] = 0.594
x1[1] (analytic) = 2.0009938059277524750980388158125
x1[1] (numeric) = 2.0009841445126814771200137753479
absolute error = 9.6614150709979780250404646e-06
relative error = 0.00048283083347769300149905649378917 %
h = 0.0001
x2[1] (analytic) = 1.0008217370442421156580791283924
x2[1] (numeric) = 1.0008271982795658677570174115997
absolute error = 5.4612353237520989382832073e-06
relative error = 0.00054567513090602274915921315846384 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5054.5MB, alloc=4.7MB, time=588.64
memory used=5058.3MB, alloc=4.7MB, time=588.92
NO POLE
NO POLE
t[1] = 0.5941
x1[1] (analytic) = 2.0009937065521285638591108705584
x1[1] (numeric) = 2.0009840245549296326684045722374
absolute error = 9.6819971989311907062983210e-06
relative error = 0.00048385945279228501773706854425963 %
h = 0.0001
x2[1] (analytic) = 1.0008218517153056497652594127942
x2[1] (numeric) = 1.0008273252934660535622085775961
absolute error = 5.4735781604037969491648019e-06
relative error = 0.00054690833848428142532126113101941 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5062.1MB, alloc=4.7MB, time=589.19
NO POLE
NO POLE
t[1] = 0.5942
x1[1] (analytic) = 2.0009936071864417181497494518327
x1[1] (numeric) = 2.0009839045851666952552655000538
absolute error = 9.7026012750228944839517789e-06
relative error = 0.00048488916906963705186971664779795 %
h = 0.0001
x2[1] (analytic) = 1.0008219664142747198129008774994
x2[1] (numeric) = 1.0008274523507648780150057180764
absolute error = 5.4859364901582021048405770e-06
relative error = 0.00054814309380249791987644207121431 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5066.0MB, alloc=4.7MB, time=589.46
NO POLE
NO POLE
t[1] = 0.5943
x1[1] (analytic) = 2.0009935078306909443130852744941
x1[1] (numeric) = 2.000983784603391466936846065549
absolute error = 9.7232272994773762392089451e-06
relative error = 0.00048591998232010669635161758532388 %
h = 0.0001
x2[1] (analytic) = 1.0008220811411544105882179162747
x2[1] (numeric) = 1.0008275794514728198643189868898
absolute error = 5.4983103184092761010706151e-06
relative error = 0.00054937939739898712834044390245545 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5069.8MB, alloc=4.7MB, time=589.73
memory used=5073.6MB, alloc=4.7MB, time=590.01
NO POLE
NO POLE
t[1] = 0.5944
x1[1] (analytic) = 2.0009934084848752487916097722117
x1[1] (numeric) = 2.0009836646096027496502957392102
absolute error = 9.7438752724991413140330015e-06
relative error = 0.00048695189255406243264925533318845 %
h = 0.0001
x2[1] (analytic) = 1.0008221958959498079451693961451
x2[1] (numeric) = 1.0008277065956003601339440504722
absolute error = 5.5106996505521887746543271e-06
relative error = 0.00055061724981218412951454276990822 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5077.4MB, alloc=4.7MB, time=590.29
NO POLE
NO POLE
t[1] = 0.5945
x1[1] (analytic) = 2.0009933091489936381271651618887
x1[1] (numeric) = 2.0009835446037993452136521901973
absolute error = 9.7645451942929135129716914e-06
relative error = 0.00048798489978188363133979185759188 %
h = 0.0001
x2[1] (analytic) = 1.0008223106786659988046670593398
x2[1] (numeric) = 1.000827833783157982123034816099
absolute error = 5.5231044919833183677567592e-06
relative error = 0.00055185665158064421159206459901203 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5081.2MB, alloc=4.7MB, time=590.56
memory used=5085.0MB, alloc=4.7MB, time=590.84
NO POLE
NO POLE
t[1] = 0.5946
x1[1] (analytic) = 2.0009932098230451189609345090817
x1[1] (numeric) = 2.0009834245859800553258295201335
absolute error = 9.7852370650636351049889482e-06
relative error = 0.00048901900401396055220998351079622 %
h = 0.0001
x2[1] (analytic) = 1.0008224254893080711547839674207
x2[1] (numeric) = 1.0008279610141561714065762564255
absolute error = 5.5355248481002517922890048e-06
relative error = 0.0005530976032430428982701033841007 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5088.8MB, alloc=4.7MB, time=591.11
NO POLE
NO POLE
t[1] = 0.5947
x1[1] (analytic) = 2.0009931105070286980334317944123
x1[1] (numeric) = 2.0009833045561436815666064957485
absolute error = 9.8059508850164668252986638e-06
relative error = 0.00049005420526069434435520289450895 %
h = 0.0001
x2[1] (analytic) = 1.0008225403278811140509629875997
x2[1] (numeric) = 1.0008280882886054158358573303343
absolute error = 5.5479607243017848943427346e-06
relative error = 0.00055434010533817597486649745789935 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5092.7MB, alloc=4.7MB, time=591.38
NO POLE
NO POLE
memory used=5096.5MB, alloc=4.7MB, time=591.65
t[1] = 0.5948
x1[1] (analytic) = 2.0009930112009433821844919809718
x1[1] (numeric) = 2.0009831845142890253966147803752
absolute error = 9.8266866543567878772005966e-06
relative error = 0.00049109050353249704627856618574797 %
h = 0.0001
x2[1] (analytic) = 1.0008226551943902176162253212552
x2[1] (numeric) = 1.0008282156065162055389440001084
absolute error = 5.5604121259879227186788532e-06
relative error = 0.00055558415840495951444206450304025 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5100.3MB, alloc=4.7MB, time=591.92
NO POLE
NO POLE
t[1] = 0.5949
x1[1] (analytic) = 2.0009929119047881783532610827201
x1[1] (numeric) = 2.0009830644604148881573271642984
absolute error = 9.8474443732901959339184217e-06
relative error = 0.00049212789883979158599016605543153 %
h = 0.0001
x2[1] (analytic) = 1.0008227700888404730413790746535
x2[1] (numeric) = 1.0008283429678990329211523449505
absolute error = 5.5728790585598797732702970e-06
relative error = 0.00055682976298242990392809671617877 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5104.1MB, alloc=4.7MB, time=592.20
NO POLE
NO POLE
t[1] = 0.595
x1[1] (analytic) = 2.0009928126185620935781862338771
x1[1] (numeric) = 2.0009829443945200710710457939568
absolute error = 9.8682240420225071404399203e-06
relative error = 0.00049316639119301178110641003007587 %
h = 0.0001
x2[1] (analytic) = 1.0008228850112369725852278718869
x2[1] (numeric) = 1.0008284703727643926655217708671
absolute error = 5.5853615274200802938989802e-06
relative error = 0.00055807691960974387025911673591509 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5107.9MB, alloc=4.7MB, time=592.47
memory used=5111.7MB, alloc=4.7MB, time=592.74
NO POLE
NO POLE
t[1] = 0.5951
x1[1] (analytic) = 2.0009927133422641349970057593067
x1[1] (numeric) = 2.0009828243166033752408903999969
absolute error = 9.8890256607597561153593098e-06
relative error = 0.00049420598060260233894946437187174 %
h = 0.0001
x2[1] (analytic) = 1.0008229999615848095747795100341
x2[1] (numeric) = 1.0008285978211227817332883169372
absolute error = 5.5978595379721585088069031e-06
relative error = 0.00055932562882617850651089568509265 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5115.6MB, alloc=4.7MB, time=593.02
NO POLE
NO POLE
t[1] = 0.5952
x1[1] (analytic) = 2.0009926140758933098467392458947
x1[1] (numeric) = 2.0009827042266636016507865241801
absolute error = 9.9098492297081959527217146e-06
relative error = 0.00049524666707901885664680347744718 %
h = 0.0001
x2[1] (analytic) = 1.0008231149398890784054546565522
x2[1] (numeric) = 1.0008287253129846993643580579851
absolute error = 5.6103730956209589034014329e-06
relative error = 0.00056057589117113129804373427834171 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5119.4MB, alloc=4.7MB, time=593.29
memory used=5123.2MB, alloc=4.7MB, time=593.56
NO POLE
NO POLE
t[1] = 0.5953
x1[1] (analytic) = 2.0009925148194486254636776149186
x1[1] (numeric) = 2.0009825841246995511654537451412
absolute error = 9.9306947490742982238697774e-06
relative error = 0.00049628845063272782123086478563012 %
h = 0.0001
x2[1] (analytic) = 1.0008232299461548745412955889098
x2[1] (numeric) = 1.0008288528483606470777806036764
absolute error = 5.6229022057725364850147666e-06
relative error = 0.00056182770718412014865100788575539 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5127.0MB, alloc=4.7MB, time=593.83
NO POLE
NO POLE
t[1] = 0.5954
x1[1] (analytic) = 2.0009924155729290892833731954108
x1[1] (numeric) = 2.000982464010710024530393903
absolute error = 9.9515622190647529792924108e-06
relative error = 0.00049733133127420660973880918452331 %
h = 0.0001
x2[1] (analytic) = 1.0008233449803872945151749764668
x2[1] (numeric) = 1.0008289804272611286722226940571
absolute error = 5.6354468738341570477175903e-06
relative error = 0.00056308107740478340671297691317205 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5130.8MB, alloc=4.7MB, time=594.11
NO POLE
NO POLE
t[1] = 0.5955
x1[1] (analytic) = 2.0009923163363337088406297985138
x1[1] (numeric) = 2.0009823438846938223718793228244
absolute error = 9.9724516398864687504756894e-06
relative error = 0.00049837530901394348931238692819471 %
h = 0.0001
x2[1] (analytic) = 1.0008234600425914359290047046138
x2[1] (numeric) = 1.0008291080496966502264418915551
absolute error = 5.6480071052142974371869413e-06
relative error = 0.00056433600237287989135586307015341 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5134.6MB, alloc=4.7MB, time=594.37
memory used=5138.4MB, alloc=4.7MB, time=594.65
NO POLE
NO POLE
t[1] = 0.5956
x1[1] (analytic) = 2.0009922171096614917694927928287
x1[1] (numeric) = 2.0009822237466497451969410369457
absolute error = 9.9933630117465725517558830e-06
relative error = 0.00049942038386243761729790909327597 %
h = 0.0001
x2[1] (analytic) = 1.0008235751327723974539447411739
x2[1] (numeric) = 1.0008292357156777200997603694631
absolute error = 5.6605829053226458156282892e-06
relative error = 0.00056559248262828891861619307591769 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5142.3MB, alloc=4.7MB, time=594.92
NO POLE
NO POLE
t[1] = 0.5957
x1[1] (analytic) = 2.0009921178929114458032391807551
x1[1] (numeric) = 2.0009821035965765933933570061259
absolute error = 1.00142963348524098821746292e-05
relative error = 0.0005004665558301990413463244908193 %
h = 0.0001
x2[1] (analytic) = 1.00082369025093527883061204508
x2[1] (numeric) = 1.0008293634252148489325387969232
absolute error = 5.6731742795701019267518432e-06
relative error = 0.00056685051871101032761041045419199 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5146.1MB, alloc=4.7MB, time=595.19
memory used=5149.9MB, alloc=4.7MB, time=595.47
NO POLE
NO POLE
t[1] = 0.5958
x1[1] (analytic) = 2.0009920186860825787743676758243
x1[1] (numeric) = 2.0009819834344731672296403395764
absolute error = 1.00352516094115447273362479e-05
relative error = 0.00050151382492774869951340215865801 %
h = 0.0001
x2[1] (analytic) = 1.0008238053970851808692895173343
x2[1] (numeric) = 1.0008294911783185496466503204322
absolute error = 5.6857812333687773608030979e-06
relative error = 0.00056811011116116450670975657750219 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5153.7MB, alloc=4.7MB, time=595.74
NO POLE
NO POLE
t[1] = 0.5959
x1[1] (analytic) = 2.0009919194891738986145887810239
x1[1] (numeric) = 2.0009818632603382668550275138288
absolute error = 1.00562288356317595612671951e-05
relative error = 0.00050256219116561842036001930464303 %
h = 0.0001
x2[1] (analytic) = 1.0008239205712272054501349942573
x2[1] (numeric) = 1.0008296189749993374459546418866
absolute error = 5.6984037721319958196476293e-06
relative error = 0.00056937126051899241972042206143807 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5157.5MB, alloc=4.7MB, time=596.01
NO POLE
NO POLE
t[1] = 0.596
x1[1] (analytic) = 2.0009918203021844133548148681153
x1[1] (numeric) = 2.0009817430741706922994665904571
absolute error = 1.00772280137210553482776582e-05
relative error = 0.00050361165455435092305255481100834 %
h = 0.0001
x2[1] (analytic) = 1.000824035773366455523390283036
x2[1] (numeric) = 1.0008297468152677298167721931881
absolute error = 5.7110419012742933819101521e-06
relative error = 0.00057063396732485563206896954944924 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5161.3MB, alloc=4.7MB, time=596.28
memory used=5165.1MB, alloc=4.7MB, time=596.56
NO POLE
NO POLE
t[1] = 0.5961
x1[1] (analytic) = 2.0009917211251131311251502579425
x1[1] (numeric) = 2.0009816228759692434736054326511
absolute error = 1.00982491438876515448252914e-05
relative error = 0.00050466221510449981746338823020751 %
h = 0.0001
x2[1] (analytic) = 1.0008241510035080351095902395806
x2[1] (numeric) = 1.0008298746991342465283584074276
absolute error = 5.7236956262114187681678470e-06
relative error = 0.00057189823211923633699302868889591 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5169.0MB, alloc=4.7MB, time=596.84
NO POLE
NO POLE
t[1] = 0.5962
x1[1] (analytic) = 2.0009916219579590601548813017332
x1[1] (numeric) = 2.0009815026657327201687799206415
absolute error = 1.01192922263399861013810917e-05
relative error = 0.00050571387282662960427150429751648 %
h = 0.0001
x2[1] (analytic) = 1.0008242662616570492997718886952
x2[1] (numeric) = 1.000830002626609409633378086668
absolute error = 5.7363649523603336061979728e-06
relative error = 0.00057316405544273738173726470854811 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5172.8MB, alloc=4.7MB, time=597.12
memory used=5176.6MB, alloc=4.7MB, time=597.39
NO POLE
NO POLE
t[1] = 0.5963
x1[1] (analytic) = 2.0009915228007212087724664633918
x1[1] (numeric) = 2.0009813824434599220570021659761
absolute error = 1.01403572612867154642974157e-05
relative error = 0.00050676662773131567506320297070477 %
h = 0.0001
x2[1] (analytic) = 1.0008243815478186042556835865739
x2[1] (numeric) = 1.0008301305977037434683798663453
absolute error = 5.7490498851392126962797714e-06
relative error = 0.00057443143783608229375462133824605 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5180.4MB, alloc=4.7MB, time=597.66
NO POLE
NO POLE
t[1] = 0.5964
x1[1] (analytic) = 2.0009914236533985854055264027838
x1[1] (numeric) = 2.0009812622091496486909487246471
absolute error = 1.01614442489367145776781367e-05
relative error = 0.00050782047982914431243291497209505 %
h = 0.0001
x2[1] (analytic) = 1.0008244968619978072099942256294
x2[1] (numeric) = 1.0008302586124277746542707763072
absolute error = 5.7617504299674442765506778e-06
relative error = 0.00057570037984011530691283921107675 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5184.2MB, alloc=4.7MB, time=597.94
NO POLE
NO POLE
t[1] = 0.5965
x1[1] (analytic) = 2.0009913245159901985808340600121
x1[1] (numeric) = 2.0009811419628006995039488090692
absolute error = 1.01825531894990768852509429e-05
relative error = 0.00050887542913071269008412287329837 %
h = 0.0001
memory used=5188.0MB, alloc=4.7MB, time=598.21
x2[1] (analytic) = 1.000824612204199766466502481662
x2[1] (numeric) = 1.0008303866707920320967908985089
absolute error = 5.7744665922656302884168469e-06
relative error = 0.00057697088199580138770625085841729 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5191.8MB, alloc=4.7MB, time=598.49
NO POLE
NO POLE
t[1] = 0.5966
x1[1] (analytic) = 2.0009912253884950569243047406848
x1[1] (numeric) = 2.0009810217044118738099724989091
absolute error = 1.02036840831831143322417757e-05
relative error = 0.000509931475646628872930387672957 %
h = 0.0001
x2[1] (analytic) = 1.0008247275744295914003461033783
x2[1] (numeric) = 1.0008305147728070469869881213855
absolute error = 5.7871983774555866420180072e-06
relative error = 0.00057824294484422626147285323830364 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5195.7MB, alloc=4.7MB, time=598.76
NO POLE
NO POLE
t[1] = 0.5967
x1[1] (analytic) = 2.0009911262709121691609862021741
x1[1] (numeric) = 2.0009809014339819708036189507654
absolute error = 1.02248369301983573672514087e-05
relative error = 0.00051098861938751181719648089778724 %
h = 0.0001
x2[1] (analytic) = 1.0008248429726923924582112442683
x2[1] (numeric) = 1.0008306429184833528016929909202
absolute error = 5.7999457909603434817466519e-06
relative error = 0.00057951656892659643861665877752196 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5199.5MB, alloc=4.7MB, time=599.03
memory used=5203.3MB, alloc=4.7MB, time=599.31
NO POLE
NO POLE
t[1] = 0.5968
x1[1] (analytic) = 2.000991027163240544115048740867
x1[1] (numeric) = 2.0009807811515097895601046066991
absolute error = 1.02460117307545549441341679e-05
relative error = 0.00051204686036399137051962225221677 %
h = 0.0001
x2[1] (analytic) = 1.0008249583989932811585418368479
x2[1] (numeric) = 1.0008307711078314853039936584286
absolute error = 5.8127088382041454518215807e-06
relative error = 0.00058079175478423924083532618755952 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5207.1MB, alloc=4.7MB, time=599.58
NO POLE
NO POLE
t[1] = 0.5969
x1[1] (analytic) = 2.0009909280654791907097752804067
x1[1] (numeric) = 2.0009806608569941290352514016153
absolute error = 1.02672084850616745238787914e-05
relative error = 0.00051310619858670827205082273196569 %
h = 0.0001
x2[1] (analytic) = 1.0008250738533373700917490092766
x2[1] (numeric) = 1.0008308993408619825437109250781
absolute error = 5.8254875246124519619158015e-06
relative error = 0.00058206850295860282735307190485864 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5210.9MB, alloc=4.7MB, time=599.86
NO POLE
NO POLE
memory used=5214.7MB, alloc=4.7MB, time=600.14
t[1] = 0.597
x1[1] (analytic) = 2.000990828977627117967551460926
x1[1] (numeric) = 2.0009805405504337880654749694946
absolute error = 1.02884271933299020764914314e-05
relative error = 0.00051416663406631415255633334180869 %
h = 0.0001
x2[1] (analytic) = 1.0008251893357297729204205443582
x2[1] (numeric) = 1.0008310276175853848578733831616
absolute error = 5.8382818556119374528388034e-06
relative error = 0.00058334681399125622115886322560702 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5218.6MB, alloc=4.7MB, time=600.41
NO POLE
NO POLE
t[1] = 0.5971
x1[1] (analytic) = 2.0009907298996833350098557292704
x1[1] (numeric) = 2.0009804202318275653677728484752
absolute error = 1.03096678557696420828807952e-05
relative error = 0.00051522816681347153451919925290748 %
h = 0.0001
x2[1] (analytic) = 1.0008253048461756043795303809336
x2[1] (numeric) = 1.0008311559380122348711926541455
absolute error = 5.8510918366304916622732119e-06
relative error = 0.00058462668842388933524989415530834 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5222.4MB, alloc=4.7MB, time=600.68
NO POLE
NO POLE
t[1] = 0.5972
x1[1] (analytic) = 2.0009906308316468510572494302134
x1[1] (numeric) = 2.0009802999011742595397126847854
absolute error = 1.03309304725915175367454280e-05
relative error = 0.00051629079683885383224091953995012 %
h = 0.0001
x2[1] (analytic) = 1.000825420384679980276648157672
x2[1] (numeric) = 1.0008312843021530774965387235117
absolute error = 5.8639174730972198905658397e-06
relative error = 0.00058590812679831299888034524314257 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5226.2MB, alloc=4.7MB, time=600.95
memory used=5230.0MB, alloc=4.7MB, time=601.23
NO POLE
NO POLE
t[1] = 0.5973
x1[1] (analytic) = 2.0009905317735166754293668986622
x1[1] (numeric) = 2.000980179558472669059420435526
absolute error = 1.03522150440063699464631362e-05
relative error = 0.00051735452415314535194321243343689 %
h = 0.0001
x2[1] (analytic) = 1.0008255359512480174921487992727
x2[1] (numeric) = 1.0008314127100184599354153724125
absolute error = 5.8767587704424432665731398e-06
relative error = 0.00058719112965645898381542800164439 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5233.8MB, alloc=4.7MB, time=601.50
NO POLE
NO POLE
t[1] = 0.5974
x1[1] (analytic) = 2.0009904327252918175449055528533
x1[1] (numeric) = 2.0009800592037215922855685703029
absolute error = 1.03735215702252593369825504e-05
relative error = 0.00051841934876704129186988604743909 %
h = 0.0001
x2[1] (analytic) = 1.0008256515458848339794221450817
x2[1] (numeric) = 1.0008315411616189316784357061581
absolute error = 5.8896157340976990135610764e-06
relative error = 0.00058847569754038003059071539147732 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5237.6MB, alloc=4.7MB, time=601.78
memory used=5241.4MB, alloc=4.7MB, time=602.06
NO POLE
NO POLE
t[1] = 0.5975
x1[1] (analytic) = 2.0009903336869712869216159885403
x1[1] (numeric) = 2.0009799388369198274573642717093
absolute error = 1.03948500514594642517168310e-05
relative error = 0.00051948527069124774238881472806512 %
h = 0.0001
x2[1] (analytic) = 1.0008257671685955487650826201354
x2[1] (numeric) = 1.0008316696569650445057977795571
absolute error = 5.9024883694957407151594217e-06
relative error = 0.00058976183099224987477675911165632 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5245.3MB, alloc=4.7MB, time=602.33
NO POLE
NO POLE
t[1] = 0.5976
x1[1] (analytic) = 2.000990234658554093176292074171
x1[1] (numeric) = 2.0009798184580661726945376346582
absolute error = 1.04162004879204817544395128e-05
relative error = 0.0005205522899364816860940208430302 %
h = 0.0001
x2[1] (analytic) = 1.0008258828193852819491789486365
x2[1] (numeric) = 1.0008317981960673524877603191279
absolute error = 5.9153766820705385813704914e-06
relative error = 0.00059104953055436327324899490515884 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5249.1MB, alloc=4.7MB, time=602.61
NO POLE
NO POLE
t[1] = 0.5977
x1[1] (analytic) = 2.0009901356400392460247610470553
x1[1] (numeric) = 2.0009796980671594259973298645643
absolute error = 1.04375728798200274311824910e-05
relative error = 0.00052162040651347099790786213257643 %
h = 0.0001
x2[1] (analytic) = 1.0008259984982591547054039098727
x2[1] (numeric) = 1.0008319267789364119851185422022
absolute error = 5.9282806772572797146323295e-06
relative error = 0.00059233879676913603046293687001162 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5252.9MB, alloc=4.7MB, time=602.89
memory used=5256.7MB, alloc=4.7MB, time=603.16
NO POLE
NO POLE
t[1] = 0.5978
x1[1] (analytic) = 2.0009900366314257552818736105236
x1[1] (numeric) = 2.0009795776641983852464814743755
absolute error = 1.04589672273700353921361481e-05
relative error = 0.00052268962043295444518332459706204 %
h = 0.0001
x2[1] (analytic) = 1.0008261142052222892813041365863
x2[1] (numeric) = 1.0008320554055827816496800729389
absolute error = 5.9412003604923683759363526e-06
relative error = 0.00059362963017910502473466172594591 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5260.5MB, alloc=4.7MB, time=603.44
NO POLE
NO POLE
t[1] = 0.5979
x1[1] (analytic) = 2.0009899376327126308614940320753
x1[1] (numeric) = 2.0009794572491818482032204804539
absolute error = 1.04803835307826582735516214e-05
relative error = 0.0005237599317056816878064209065338 %
h = 0.0001
x2[1] (analytic) = 1.0008262299402798089984899558022
x2[1] (numeric) = 1.000832184076017022424740955269
absolute error = 5.9541357372134262509994668e-06
relative error = 0.00059492203132692823452658427644404 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5264.3MB, alloc=4.7MB, time=603.71
memory used=5268.1MB, alloc=4.7MB, time=603.99
NO POLE
NO POLE
t[1] = 0.598
x1[1] (analytic) = 2.0009898386438988827764902425173
x1[1] (numeric) = 2.0009793368221086125092505973064
absolute error = 1.05018217902702672396452109e-05
relative error = 0.00052483134034241327829869432259373 %
h = 0.0001
x2[1] (analytic) = 1.0008263457034368382528452721242
x2[1] (numeric) = 1.00083231279024969754556176279
absolute error = 5.9670868128592927164906658e-06
relative error = 0.00059621600075538476473852485634075 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5272.0MB, alloc=4.7MB, time=604.26
NO POLE
NO POLE
t[1] = 0.5981
x1[1] (analytic) = 2.0009897396649835211387239360928
x1[1] (numeric) = 2.0009792163829774756867394311641
absolute error = 1.05232820060454519845049287e-05
relative error = 0.00052590384635392066191982818783927 %
h = 0.0001
x2[1] (analytic) = 1.0008264614946985025147374935058
x2[1] (numeric) = 1.00083244154829137253984380563
absolute error = 5.9800535928700251063121242e-06
relative error = 0.00059751153900737487300407009466849 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5275.8MB, alloc=4.7MB, time=604.53
NO POLE
NO POLE
t[1] = 0.5982
x1[1] (analytic) = 2.0009896406959655561590406715998
x1[1] (numeric) = 2.0009790959317872351383066724115
absolute error = 1.05447641783210207339991883e-05
relative error = 0.00052697744975098617677036090322254 %
h = 0.0001
x2[1] (analytic) = 1.0008265773140699283292274995074
x2[1] (numeric) = 1.0008325703501526152282054343013
absolute error = 5.9930360826868989779347939e-06
relative error = 0.00059880864662591999599222771290665 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5279.6MB, alloc=4.7MB, time=604.80
memory used=5283.4MB, alloc=4.7MB, time=605.08
NO POLE
NO POLE
t[1] = 0.5983
x1[1] (analytic) = 2.0009895417368439981472599744996
x1[1] (numeric) = 2.000978975468536688147012286864
absolute error = 1.05662683073100002476876356e-05
relative error = 0.00052805215054440305389450648359053 %
h = 0.0001
x2[1] (analytic) = 1.0008266931615562433162796520443
x2[1] (numeric) = 1.0008326991958439957246584405621
absolute error = 6.0060342877524083787885178e-06
relative error = 0.00060010732415416277571437670824835 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5287.2MB, alloc=4.7MB, time=605.35
NO POLE
NO POLE
t[1] = 0.5984
x1[1] (analytic) = 2.0009894427876178575121654400152
x1[1] (numeric) = 2.000978854993224631876344705895
absolute error = 1.05877943932256358207341202e-05
relative error = 0.0005291279487449754173830806217466 %
h = 0.0001
x2[1] (analytic) = 1.0008268090371625761709718486374
x2[1] (numeric) = 1.0008328280853760864370845553071
absolute error = 6.0190482135102661127066697e-06
relative error = 0.00060140757213536708583651374190176 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5291.0MB, alloc=4.7MB, time=605.62
memory used=5294.8MB, alloc=4.7MB, time=605.90
NO POLE
NO POLE
t[1] = 0.5985
x1[1] (analytic) = 2.0009893438482861447614948372187
x1[1] (numeric) = 2.0009787345058498633702090154114
absolute error = 1.06093424362813912858218073e-05
relative error = 0.00053020484436351828447653227633244 %
h = 0.0001
x2[1] (analytic) = 1.0008269249408940566637056181731
x2[1] (numeric) = 1.0008329570187594620677120435054
absolute error = 6.0320778654054040064253323e-06
relative error = 0.00060270939111291805799679685216824 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5298.7MB, alloc=4.7MB, time=606.17
NO POLE
NO POLE
t[1] = 0.5986
x1[1] (analytic) = 2.0009892449188478705019302141089
x1[1] (numeric) = 2.0009786140064111795529151436782
absolute error = 1.06309124366909490150704307e-05
relative error = 0.00053128283741085756566808080882342 %
h = 0.0001
x2[1] (analytic) = 1.0008270408727558156404162591809
x2[1] (numeric) = 1.0008330859960046996135923962063
absolute error = 6.0451232488839731761370254e-06
relative error = 0.00060401278163032210812838763199159 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5302.5MB, alloc=4.7MB, time=606.43
NO POLE
NO POLE
memory used=5306.3MB, alloc=4.7MB, time=606.72
t[1] = 0.5987
x1[1] (analytic) = 2.0009891459993020454390880036782
x1[1] (numeric) = 2.0009784934949073772291660479913
absolute error = 1.06525043946682099219556869e-05
relative error = 0.0005323619278978300648069586699437 %
h = 0.0001
x2[1] (analytic) = 1.0008271568327529850227830206386
x2[1] (numeric) = 1.0008332150171223783670771196316
absolute error = 6.0581843693933442940989930e-06
relative error = 0.00060531774423120696278759267092281 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5310.1MB, alloc=4.7MB, time=607.00
NO POLE
NO POLE
t[1] = 0.5988
x1[1] (analytic) = 2.0009890470896476803775091309686
x1[1] (numeric) = 2.0009783729713372530840459001991
absolute error = 1.06741183104272934632307695e-05
relative error = 0.00053344211583528347920175959582662 %
h = 0.0001
x2[1] (analytic) = 1.000827272820890697808439325312
x2[1] (numeric) = 1.000833344082123079916294621375
absolute error = 6.0712612323821078552960630e-06
relative error = 0.00060662427945932168548730556100308 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5313.9MB, alloc=4.7MB, time=607.27
NO POLE
NO POLE
t[1] = 0.5989
x1[1] (analytic) = 2.0009889481898837862206491211173
x1[1] (numeric) = 2.0009782524356996036830082710724
absolute error = 1.06957541841825376408500449e-05
relative error = 0.00053452340123407639972389236420123 %
h = 0.0001
x2[1] (analytic) = 1.0008273888371740880711830356382
x2[1] (numeric) = 1.0008334731910173881456271937273
absolute error = 6.0843538433000744441580891e-06
relative error = 0.00060793238785853670303575035637511 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5317.7MB, alloc=4.7MB, time=607.54
memory used=5321.6MB, alloc=4.7MB, time=607.83
NO POLE
NO POLE
t[1] = 0.599
x1[1] (analytic) = 2.000988849300009373970868208391
x1[1] (numeric) = 2.0009781318879932254718643135226
absolute error = 1.07174120161484990038948684e-05
relative error = 0.00053560578410507831091114006593332 %
h = 0.0001
x2[1] (analytic) = 1.0008275048816082909611867621606
x2[1] (numeric) = 1.0008336023438158892361880941476
absolute error = 6.0974622075982750013319870e-06
relative error = 0.00060924206997284383188052762619675 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5325.4MB, alloc=4.7MB, time=608.10
NO POLE
NO POLE
t[1] = 0.5991
x1[1] (analytic) = 2.0009887504200234547294214462095
x1[1] (numeric) = 2.0009780113282169147767709446679
absolute error = 1.07390918065399526505015416e-05
relative error = 0.00053668926445916959107132493720394 %
h = 0.0001
x2[1] (analytic) = 1.0008276209541984427052082145253
x2[1] (numeric) = 1.0008337315405291716662987228997
absolute error = 6.1105863307289610905083744e-06
relative error = 0.0006105533263463563044579639806145 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5329.2MB, alloc=4.7MB, time=608.37
memory used=5333.0MB, alloc=4.7MB, time=608.65
NO POLE
NO POLE
t[1] = 0.5992
x1[1] (analytic) = 2.0009886515499250396964488181584
x1[1] (numeric) = 2.0009778907563694678042190267479
absolute error = 1.07607935555718922297914105e-05
relative error = 0.00053777384230724151238607872264603 %
h = 0.0001
x2[1] (analytic) = 1.0008277370549496806068005950454
x2[1] (numeric) = 1.0008338607811678262119658978735
absolute error = 6.1237262181456051653028281e-06
relative error = 0.00061186615752330879554776632921214 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5336.8MB, alloc=4.7MB, time=608.92
NO POLE
NO POLE
t[1] = 0.5993
x1[1] (analytic) = 2.0009885526897131401709653499907
x1[1] (numeric) = 2.000977770172449680641021546886
absolute error = 1.07825172634595299438031047e-05
relative error = 0.00053885951766019624101471858973481 %
h = 0.0001
x2[1] (analytic) = 1.0008278531838671430465230348436
x2[1] (numeric) = 1.0008339900657424459473592266113
absolute error = 6.1368818753029008361917677e-06
relative error = 0.00061318056404805744863298175163133 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5340.6MB, alloc=4.7MB, time=609.19
NO POLE
NO POLE
t[1] = 0.5994
x1[1] (analytic) = 2.0009884538393867675508512226163
x1[1] (numeric) = 2.0009776495764563492543017956996
absolute error = 1.08042629304182965494269167e-05
relative error = 0.00053994629052894683719822854476227 %
h = 0.0001
x2[1] (analytic) = 1.0008279693409559694821510725795
x2[1] (numeric) = 1.0008341193942636262452885755578
absolute error = 6.1500533076567631375029783e-06
relative error = 0.00061449654646507990226526414979334 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5344.4MB, alloc=4.7MB, time=609.46
memory used=5348.3MB, alloc=4.7MB, time=609.74
NO POLE
NO POLE
t[1] = 0.5995
x1[1] (analytic) = 2.0009883549989449333328418860813
x1[1] (numeric) = 2.0009775289683882694914815447581
absolute error = 1.08260305566638413603413232e-05
relative error = 0.00054103416092441725536334644565379 %
h = 0.0001
x2[1] (analytic) = 1.0008280855262213004488871757724
x2[1] (numeric) = 1.0008342487667419647776816365542
absolute error = 6.1632405206643287944607818e-06
relative error = 0.00061581410531897531643544857134978 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5352.1MB, alloc=4.7MB, time=610.00
NO POLE
NO POLE
t[1] = 0.5996
x1[1] (analytic) = 2.0009882561683866491125181745354
x1[1] (numeric) = 2.0009774083482442370802692228884
absolute error = 1.08478201424120322489516470e-05
relative error = 0.00054212312885754234422675654196722 %
h = 0.0001
x2[1] (analytic) = 1.0008282017396682775595713047265
x2[1] (numeric) = 1.0008343781831880615160615905954
absolute error = 6.1764435197839564902858689e-06
relative error = 0.0006171332411544643989494343437554 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5355.9MB, alloc=4.7MB, time=610.27
memory used=5359.7MB, alloc=4.7MB, time=610.55
NO POLE
NO POLE
t[1] = 0.5997
x1[1] (analytic) = 2.0009881573477109265842964221874
x1[1] (numeric) = 2.0009772877160230476286480913282
absolute error = 1.08696316878789556483308592e-05
relative error = 0.00054321319433926784689938752738713 %
h = 0.0001
x2[1] (analytic) = 1.0008283179813020435048915190669
x2[1] (numeric) = 1.0008345076436125187320248688709
absolute error = 6.1896623104752271333498040e-06
relative error = 0.00061845395451638943180937816831689 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5363.5MB, alloc=4.7MB, time=610.82
NO POLE
NO POLE
t[1] = 0.5998
x1[1] (analytic) = 2.0009880585369167775414185802492
x1[1] (numeric) = 2.0009771670717234966248644177264
absolute error = 1.08914651932809165541625228e-05
relative error = 0.00054430435738055040099081615999206 %
h = 0.0001
x2[1] (analytic) = 1.0008284342511277420535946268963
x2[1] (numeric) = 1.0008346371480259409977190111076
absolute error = 6.2028968981989441243842113e-06
relative error = 0.00061977624594971429760019793386254 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5367.3MB, alloc=4.7MB, time=611.09
NO POLE
NO POLE
t[1] = 0.5999
x1[1] (analytic) = 2.000987959736003213875942334869
x1[1] (numeric) = 2.0009770464153443794374156489911
absolute error = 1.09133206588344385266858779e-05
relative error = 0.00054539661799235753871377646059489 %
h = 0.0001
x2[1] (analytic) = 1.0008285505491505180526968765786
x2[1] (numeric) = 1.0008347666964389351863206212353
absolute error = 6.2161472884171336237446567e-06
relative error = 0.00062110011599952450588138863912881 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=5371.1MB, alloc=4.7MB, time=611.37
memory used=5375.0MB, alloc=4.7MB, time=611.64
NO POLE
NO POLE
t[1] = 0.6
x1[1] (analytic) = 2.000987860944969247578731226051
x1[1] (numeric) = 2.0009769257468844913150385829845
absolute error = 1.09351980847562636926430665e-05
relative error = 0.00054648997618566768698877438951152 %
h = 0.0001
x2[1] (analytic) = 1.0008286668753755174276946911611
x2[1] (numeric) = 1.0008348962888621104725134203941
absolute error = 6.2294134865930448187292330e-06
relative error = 0.0006224255652110272195841511035134 %
h = 0.0001
Finished!
Maximum Iterations Reached before Solution Completed!
diff (x1,t,1) = 4.0 * x2 - 2.0 * diff (x2,t ,1) - 2.0 * x1;
diff (x2,t,2) = 3.0 * diff(x2,t,1) - 2.0 * x2 - diff(x1,t,2) - diff (x1,t,1) + x1;
Iterations = 1000
Total Elapsed Time = 10 Minutes 11 Seconds
Elapsed Time(since restart) = 10 Minutes 11 Seconds
Expected Time Remaining = 7 Hours 28 Minutes 7 Seconds
Optimized Time Remaining = 7 Hours 28 Minutes 6 Seconds
Time to Timeout = 4 Minutes 48 Seconds
Percent Done = 2.224 %
> quit
memory used=5376.4MB, alloc=4.7MB, time=611.74