|\^/| Maple 12 (IBM INTEL LINUX) ._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008 \ MAPLE / All rights reserved. Maple is a trademark of <____ ____> Waterloo Maple Inc. | Type ? for help. > #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