|\^/| 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 > glob_iolevel, > glob_max_terms, > DEBUGL, > INFO, > ALWAYS, > DEBUGMASSIVE, > #Top Generate Globals Decl > glob_iter, > glob_optimal_start, > glob_max_trunc_err, > glob_disp_incr, > djd_debug2, > glob_max_opt_iter, > glob_warned2, > glob_optimal_clock_start_sec, > glob_log10_abserr, > glob_dump_analytic, > glob_reached_optimal_h, > glob_start, > glob_large_float, > centuries_in_millinium, > sec_in_min, > djd_debug, > glob_dump, > glob_html_log, > MAX_UNCHANGED, > glob_orig_start_sec, > glob_warned, > glob_current_iter, > glob_max_sec, > glob_max_rel_trunc_err, > glob_max_iter, > glob_last_good_h, > glob_hmin_init, > glob_clock_sec, > years_in_century, > days_in_year, > glob_display_flag, > glob_log10relerr, > glob_log10abserr, > glob_normmax, > glob_look_poles, > glob_h, > hours_in_day, > glob_subiter_method, > glob_percent_done, > glob_no_eqs, > glob_relerr, > glob_almost_1, > glob_small_float, > glob_initial_pass, > glob_not_yet_finished, > glob_max_minutes, > glob_curr_iter_when_opt, > glob_clock_start_sec, > min_in_hour, > glob_smallish_float, > glob_abserr, > glob_log10_relerr, > glob_hmax, > glob_optimal_done, > glob_optimal_expect_sec, > glob_unchanged_h_cnt, > glob_max_hours, > glob_hmin, > glob_not_yet_start_msg, > glob_log10normmin, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_0D0, > array_const_1D0, > array_const_1, > array_const_3, > #END CONST > array_y2_init, > array_last_rel_error, > array_norms, > array_type_pole, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_m1, > array_pole, > array_tmp1_g, > array_y1_init, > array_1st_rel_error, > array_y2, > array_x, > array_y1, > array_y2_set_initial, > array_y1_higher_work, > array_y1_higher, > array_y2_higher_work2, > array_y1_higher_work2, > array_complex_pole, > array_y1_set_initial, > array_y2_higher, > array_y2_higher_work, > array_real_pole, > array_poles, > 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_x[1]; > omniout_float(ALWAYS,"x[1] ",33,ind_var,20," "); > analytic_val_y := exact_soln_y2(ind_var); > omniout_float(ALWAYS,"y2[1] (analytic) ",33,analytic_val_y,20," "); > term_no := 1; > numeric_val := array_y2[term_no]; > abserr := abs(numeric_val - analytic_val_y); > omniout_float(ALWAYS,"y2[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_y1(ind_var); > omniout_float(ALWAYS,"y1[1] (analytic) ",33,analytic_val_y,20," "); > term_no := 1; > numeric_val := array_y1[term_no]; > abserr := abs(numeric_val - analytic_val_y); > omniout_float(ALWAYS,"y1[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 glob_iolevel, glob_max_terms, DEBUGL, INFO, ALWAYS, DEBUGMASSIVE, glob_iter, glob_optimal_start, glob_max_trunc_err, glob_disp_incr, djd_debug2, glob_max_opt_iter, glob_warned2, glob_optimal_clock_start_sec, glob_log10_abserr, glob_dump_analytic, glob_reached_optimal_h, glob_start, glob_large_float, centuries_in_millinium, sec_in_min, djd_debug, glob_dump, glob_html_log, MAX_UNCHANGED, glob_orig_start_sec, glob_warned, glob_current_iter, glob_max_sec, glob_max_rel_trunc_err, glob_max_iter, glob_last_good_h, glob_hmin_init, glob_clock_sec, years_in_century, days_in_year, glob_display_flag, glob_log10relerr, glob_log10abserr, glob_normmax, glob_look_poles, glob_h, hours_in_day, glob_subiter_method, glob_percent_done, glob_no_eqs, glob_relerr, glob_almost_1, glob_small_float, glob_initial_pass, glob_not_yet_finished, glob_max_minutes, glob_curr_iter_when_opt, glob_clock_start_sec, min_in_hour, glob_smallish_float, glob_abserr, glob_log10_relerr, glob_hmax, glob_optimal_done, glob_optimal_expect_sec, glob_unchanged_h_cnt, glob_max_hours, glob_hmin, glob_not_yet_start_msg, glob_log10normmin, array_const_0D0, array_const_1D0, array_const_1, array_const_3, array_y2_init, array_last_rel_error, array_norms, array_type_pole, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_m1, array_pole, array_tmp1_g, array_y1_init, array_1st_rel_error, array_y2, array_x, array_y1, array_y2_set_initial, array_y1_higher_work, array_y1_higher, array_y2_higher_work2, array_y1_higher_work2, array_complex_pole, array_y1_set_initial, array_y2_higher, array_y2_higher_work, array_real_pole, array_poles, glob_last; if 0 <= iter then ind_var := array_x[1]; omniout_float(ALWAYS, "x[1] ", 33, ind_var, 20, " "); analytic_val_y := exact_soln_y2(ind_var); omniout_float(ALWAYS, "y2[1] (analytic) ", 33, analytic_val_y, 20, " "); term_no := 1; numeric_val := array_y2[term_no]; abserr := abs(numeric_val - analytic_val_y); omniout_float(ALWAYS, "y2[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_y1(ind_var); omniout_float(ALWAYS, "y1[1] (analytic) ", 33, analytic_val_y, 20, " "); term_no := 1; numeric_val := array_y1[term_no]; abserr := abs(numeric_val - analytic_val_y); omniout_float(ALWAYS, "y1[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 > glob_iolevel, > glob_max_terms, > DEBUGL, > INFO, > ALWAYS, > DEBUGMASSIVE, > #Top Generate Globals Decl > glob_iter, > glob_optimal_start, > glob_max_trunc_err, > glob_disp_incr, > djd_debug2, > glob_max_opt_iter, > glob_warned2, > glob_optimal_clock_start_sec, > glob_log10_abserr, > glob_dump_analytic, > glob_reached_optimal_h, > glob_start, > glob_large_float, > centuries_in_millinium, > sec_in_min, > djd_debug, > glob_dump, > glob_html_log, > MAX_UNCHANGED, > glob_orig_start_sec, > glob_warned, > glob_current_iter, > glob_max_sec, > glob_max_rel_trunc_err, > glob_max_iter, > glob_last_good_h, > glob_hmin_init, > glob_clock_sec, > years_in_century, > days_in_year, > glob_display_flag, > glob_log10relerr, > glob_log10abserr, > glob_normmax, > glob_look_poles, > glob_h, > hours_in_day, > glob_subiter_method, > glob_percent_done, > glob_no_eqs, > glob_relerr, > glob_almost_1, > glob_small_float, > glob_initial_pass, > glob_not_yet_finished, > glob_max_minutes, > glob_curr_iter_when_opt, > glob_clock_start_sec, > min_in_hour, > glob_smallish_float, > glob_abserr, > glob_log10_relerr, > glob_hmax, > glob_optimal_done, > glob_optimal_expect_sec, > glob_unchanged_h_cnt, > glob_max_hours, > glob_hmin, > glob_not_yet_start_msg, > glob_log10normmin, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_0D0, > array_const_1D0, > array_const_1, > array_const_3, > #END CONST > array_y2_init, > array_last_rel_error, > array_norms, > array_type_pole, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_m1, > array_pole, > array_tmp1_g, > array_y1_init, > array_1st_rel_error, > array_y2, > array_x, > array_y1, > array_y2_set_initial, > array_y1_higher_work, > array_y1_higher, > array_y2_higher_work2, > array_y1_higher_work2, > array_complex_pole, > array_y1_set_initial, > array_y2_higher, > array_y2_higher_work, > array_real_pole, > array_poles, > glob_last; > > local hnew, sz2, tmp; > #TOP ADJUST FOR POLE > > hnew := h_param; > glob_normmax := glob_small_float; > if (abs(array_y2_higher[1,1]) > glob_small_float) then # if number 1 > tmp := abs(array_y2_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_y1_higher[1,1]) > glob_small_float) then # if number 1 > tmp := abs(array_y1_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_x[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 glob_iolevel, glob_max_terms, DEBUGL, INFO, ALWAYS, DEBUGMASSIVE, glob_iter, glob_optimal_start, glob_max_trunc_err, glob_disp_incr, djd_debug2, glob_max_opt_iter, glob_warned2, glob_optimal_clock_start_sec, glob_log10_abserr, glob_dump_analytic, glob_reached_optimal_h, glob_start, glob_large_float, centuries_in_millinium, sec_in_min, djd_debug, glob_dump, glob_html_log, MAX_UNCHANGED, glob_orig_start_sec, glob_warned, glob_current_iter, glob_max_sec, glob_max_rel_trunc_err, glob_max_iter, glob_last_good_h, glob_hmin_init, glob_clock_sec, years_in_century, days_in_year, glob_display_flag, glob_log10relerr, glob_log10abserr, glob_normmax, glob_look_poles, glob_h, hours_in_day, glob_subiter_method, glob_percent_done, glob_no_eqs, glob_relerr, glob_almost_1, glob_small_float, glob_initial_pass, glob_not_yet_finished, glob_max_minutes, glob_curr_iter_when_opt, glob_clock_start_sec, min_in_hour, glob_smallish_float, glob_abserr, glob_log10_relerr, glob_hmax, glob_optimal_done, glob_optimal_expect_sec, glob_unchanged_h_cnt, glob_max_hours, glob_hmin, glob_not_yet_start_msg, glob_log10normmin, array_const_0D0, array_const_1D0, array_const_1, array_const_3, array_y2_init, array_last_rel_error, array_norms, array_type_pole, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_m1, array_pole, array_tmp1_g, array_y1_init, array_1st_rel_error, array_y2, array_x, array_y1, array_y2_set_initial, array_y1_higher_work, array_y1_higher, array_y2_higher_work2, array_y1_higher_work2, array_complex_pole, array_y1_set_initial, array_y2_higher, array_y2_higher_work, array_real_pole, array_poles, glob_last; hnew := h_param; glob_normmax := glob_small_float; if glob_small_float < abs(array_y2_higher[1, 1]) then tmp := abs(array_y2_higher[1, 1]); if tmp < glob_normmax then glob_normmax := tmp end if end if; if glob_small_float < abs(array_y1_higher[1, 1]) then tmp := abs(array_y1_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_x[1] end if; hnew := sz2 end proc > # Begin Function number 5 > prog_report := proc(x_start,x_end) > global > glob_iolevel, > glob_max_terms, > DEBUGL, > INFO, > ALWAYS, > DEBUGMASSIVE, > #Top Generate Globals Decl > glob_iter, > glob_optimal_start, > glob_max_trunc_err, > glob_disp_incr, > djd_debug2, > glob_max_opt_iter, > glob_warned2, > glob_optimal_clock_start_sec, > glob_log10_abserr, > glob_dump_analytic, > glob_reached_optimal_h, > glob_start, > glob_large_float, > centuries_in_millinium, > sec_in_min, > djd_debug, > glob_dump, > glob_html_log, > MAX_UNCHANGED, > glob_orig_start_sec, > glob_warned, > glob_current_iter, > glob_max_sec, > glob_max_rel_trunc_err, > glob_max_iter, > glob_last_good_h, > glob_hmin_init, > glob_clock_sec, > years_in_century, > days_in_year, > glob_display_flag, > glob_log10relerr, > glob_log10abserr, > glob_normmax, > glob_look_poles, > glob_h, > hours_in_day, > glob_subiter_method, > glob_percent_done, > glob_no_eqs, > glob_relerr, > glob_almost_1, > glob_small_float, > glob_initial_pass, > glob_not_yet_finished, > glob_max_minutes, > glob_curr_iter_when_opt, > glob_clock_start_sec, > min_in_hour, > glob_smallish_float, > glob_abserr, > glob_log10_relerr, > glob_hmax, > glob_optimal_done, > glob_optimal_expect_sec, > glob_unchanged_h_cnt, > glob_max_hours, > glob_hmin, > glob_not_yet_start_msg, > glob_log10normmin, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_0D0, > array_const_1D0, > array_const_1, > array_const_3, > #END CONST > array_y2_init, > array_last_rel_error, > array_norms, > array_type_pole, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_m1, > array_pole, > array_tmp1_g, > array_y1_init, > array_1st_rel_error, > array_y2, > array_x, > array_y1, > array_y2_set_initial, > array_y1_higher_work, > array_y1_higher, > array_y2_higher_work2, > array_y1_higher_work2, > array_complex_pole, > array_y1_set_initial, > array_y2_higher, > array_y2_higher_work, > array_real_pole, > array_poles, > 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(x_end),convfloat(x_start),convfloat(array_x[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(x_end),convfloat(x_start),convfloat(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec)); > percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[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(x_start, x_end) local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; global glob_iolevel, glob_max_terms, DEBUGL, INFO, ALWAYS, DEBUGMASSIVE, glob_iter, glob_optimal_start, glob_max_trunc_err, glob_disp_incr, djd_debug2, glob_max_opt_iter, glob_warned2, glob_optimal_clock_start_sec, glob_log10_abserr, glob_dump_analytic, glob_reached_optimal_h, glob_start, glob_large_float, centuries_in_millinium, sec_in_min, djd_debug, glob_dump, glob_html_log, MAX_UNCHANGED, glob_orig_start_sec, glob_warned, glob_current_iter, glob_max_sec, glob_max_rel_trunc_err, glob_max_iter, glob_last_good_h, glob_hmin_init, glob_clock_sec, years_in_century, days_in_year, glob_display_flag, glob_log10relerr, glob_log10abserr, glob_normmax, glob_look_poles, glob_h, hours_in_day, glob_subiter_method, glob_percent_done, glob_no_eqs, glob_relerr, glob_almost_1, glob_small_float, glob_initial_pass, glob_not_yet_finished, glob_max_minutes, glob_curr_iter_when_opt, glob_clock_start_sec, min_in_hour, glob_smallish_float, glob_abserr, glob_log10_relerr, glob_hmax, glob_optimal_done, glob_optimal_expect_sec, glob_unchanged_h_cnt, glob_max_hours, glob_hmin, glob_not_yet_start_msg, glob_log10normmin, array_const_0D0, array_const_1D0, array_const_1, array_const_3, array_y2_init, array_last_rel_error, array_norms, array_type_pole, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_m1, array_pole, array_tmp1_g, array_y1_init, array_1st_rel_error, array_y2, array_x, array_y1, array_y2_set_initial, array_y1_higher_work, array_y1_higher, array_y2_higher_work2, array_y1_higher_work2, array_complex_pole, array_y1_set_initial, array_y2_higher, array_y2_higher_work, array_real_pole, array_poles, 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(x_end), convfloat(x_start), convfloat(array_x[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(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h), convfloat(opt_clock_sec)); percent_done := comp_percent(convfloat(x_end), convfloat(x_start), convfloat(array_x[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 > glob_iolevel, > glob_max_terms, > DEBUGL, > INFO, > ALWAYS, > DEBUGMASSIVE, > #Top Generate Globals Decl > glob_iter, > glob_optimal_start, > glob_max_trunc_err, > glob_disp_incr, > djd_debug2, > glob_max_opt_iter, > glob_warned2, > glob_optimal_clock_start_sec, > glob_log10_abserr, > glob_dump_analytic, > glob_reached_optimal_h, > glob_start, > glob_large_float, > centuries_in_millinium, > sec_in_min, > djd_debug, > glob_dump, > glob_html_log, > MAX_UNCHANGED, > glob_orig_start_sec, > glob_warned, > glob_current_iter, > glob_max_sec, > glob_max_rel_trunc_err, > glob_max_iter, > glob_last_good_h, > glob_hmin_init, > glob_clock_sec, > years_in_century, > days_in_year, > glob_display_flag, > glob_log10relerr, > glob_log10abserr, > glob_normmax, > glob_look_poles, > glob_h, > hours_in_day, > glob_subiter_method, > glob_percent_done, > glob_no_eqs, > glob_relerr, > glob_almost_1, > glob_small_float, > glob_initial_pass, > glob_not_yet_finished, > glob_max_minutes, > glob_curr_iter_when_opt, > glob_clock_start_sec, > min_in_hour, > glob_smallish_float, > glob_abserr, > glob_log10_relerr, > glob_hmax, > glob_optimal_done, > glob_optimal_expect_sec, > glob_unchanged_h_cnt, > glob_max_hours, > glob_hmin, > glob_not_yet_start_msg, > glob_log10normmin, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_0D0, > array_const_1D0, > array_const_1, > array_const_3, > #END CONST > array_y2_init, > array_last_rel_error, > array_norms, > array_type_pole, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_m1, > array_pole, > array_tmp1_g, > array_y1_init, > array_1st_rel_error, > array_y2, > array_x, > array_y1, > array_y2_set_initial, > array_y1_higher_work, > array_y1_higher, > array_y2_higher_work2, > array_y1_higher_work2, > array_complex_pole, > array_y1_set_initial, > array_y2_higher, > array_y2_higher_work, > array_real_pole, > array_poles, > 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 - 3 - 1; > while ((m >= 10) and ((abs(array_y2_higher[1,m]) < glob_small_float) or (abs(array_y2_higher[1,m-1]) < glob_small_float) or (abs(array_y2_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_y2_higher[1,m]/array_y2_higher[1,m-1]; > rm1 := array_y2_higher[1,m-1]/array_y2_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 - 1 - 1; > while ((m >= 10) and ((abs(array_y1_higher[1,m]) < glob_small_float) or (abs(array_y1_higher[1,m-1]) < glob_small_float) or (abs(array_y1_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_y1_higher[1,m]/array_y1_higher[1,m-1]; > rm1 := array_y1_higher[1,m-1]/array_y1_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 - 3 - 1; > cnt := 0; > while ((cnt < 5) and (n >= 10)) do # do number 2 > if (abs(array_y2_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_y2_higher[1,m]) >= (glob_large_float)) or (abs(array_y2_higher[1,m-1]) >=(glob_large_float)) or (abs(array_y2_higher[1,m-2]) >= (glob_large_float)) or (abs(array_y2_higher[1,m-3]) >= (glob_large_float)) or (abs(array_y2_higher[1,m-4]) >= (glob_large_float)) or (abs(array_y2_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_y2_higher[1,m])/(array_y2_higher[1,m-1]); > rm1 := (array_y2_higher[1,m-1])/(array_y2_higher[1,m-2]); > rm2 := (array_y2_higher[1,m-2])/(array_y2_higher[1,m-3]); > rm3 := (array_y2_higher[1,m-3])/(array_y2_higher[1,m-4]); > rm4 := (array_y2_higher[1,m-4])/(array_y2_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 - 1 - 1; > cnt := 0; > while ((cnt < 5) and (n >= 10)) do # do number 2 > if (abs(array_y1_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_y1_higher[1,m]) >= (glob_large_float)) or (abs(array_y1_higher[1,m-1]) >=(glob_large_float)) or (abs(array_y1_higher[1,m-2]) >= (glob_large_float)) or (abs(array_y1_higher[1,m-3]) >= (glob_large_float)) or (abs(array_y1_higher[1,m-4]) >= (glob_large_float)) or (abs(array_y1_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_y1_higher[1,m])/(array_y1_higher[1,m-1]); > rm1 := (array_y1_higher[1,m-1])/(array_y1_higher[1,m-2]); > rm2 := (array_y1_higher[1,m-2])/(array_y1_higher[1,m-3]); > rm3 := (array_y1_higher[1,m-3])/(array_y1_higher[1,m-4]); > rm4 := (array_y1_higher[1,m-4])/(array_y1_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 glob_iolevel, glob_max_terms, DEBUGL, INFO, ALWAYS, DEBUGMASSIVE, glob_iter, glob_optimal_start, glob_max_trunc_err, glob_disp_incr, djd_debug2, glob_max_opt_iter, glob_warned2, glob_optimal_clock_start_sec, glob_log10_abserr, glob_dump_analytic, glob_reached_optimal_h, glob_start, glob_large_float, centuries_in_millinium, sec_in_min, djd_debug, glob_dump, glob_html_log, MAX_UNCHANGED, glob_orig_start_sec, glob_warned, glob_current_iter, glob_max_sec, glob_max_rel_trunc_err, glob_max_iter, glob_last_good_h, glob_hmin_init, glob_clock_sec, years_in_century, days_in_year, glob_display_flag, glob_log10relerr, glob_log10abserr, glob_normmax, glob_look_poles, glob_h, hours_in_day, glob_subiter_method, glob_percent_done, glob_no_eqs, glob_relerr, glob_almost_1, glob_small_float, glob_initial_pass, glob_not_yet_finished, glob_max_minutes, glob_curr_iter_when_opt, glob_clock_start_sec, min_in_hour, glob_smallish_float, glob_abserr, glob_log10_relerr, glob_hmax, glob_optimal_done, glob_optimal_expect_sec, glob_unchanged_h_cnt, glob_max_hours, glob_hmin, glob_not_yet_start_msg, glob_log10normmin, array_const_0D0, array_const_1D0, array_const_1, array_const_3, array_y2_init, array_last_rel_error, array_norms, array_type_pole, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_m1, array_pole, array_tmp1_g, array_y1_init, array_1st_rel_error, array_y2, array_x, array_y1, array_y2_set_initial, array_y1_higher_work, array_y1_higher, array_y2_higher_work2, array_y1_higher_work2, array_complex_pole, array_y1_set_initial, array_y2_higher, array_y2_higher_work, array_real_pole, array_poles, glob_last; n := glob_max_terms; m := n - 4; while 10 <= m and (abs(array_y2_higher[1, m]) < glob_small_float or abs(array_y2_higher[1, m - 1]) < glob_small_float or abs(array_y2_higher[1, m - 2]) < glob_small_float) do m := m - 1 end do; if 10 < m then rm0 := array_y2_higher[1, m]/array_y2_higher[1, m - 1]; rm1 := array_y2_higher[1, m - 1]/array_y2_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 - 2; while 10 <= m and (abs(array_y1_higher[1, m]) < glob_small_float or abs(array_y1_higher[1, m - 1]) < glob_small_float or abs(array_y1_higher[1, m - 2]) < glob_small_float) do m := m - 1 end do; if 10 < m then rm0 := array_y1_higher[1, m]/array_y1_higher[1, m - 1]; rm1 := array_y1_higher[1, m - 1]/array_y1_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 - 4; cnt := 0; while cnt < 5 and 10 <= n do if glob_small_float < abs(array_y2_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_y2_higher[1, m]) or glob_large_float <= abs(array_y2_higher[1, m - 1]) or glob_large_float <= abs(array_y2_higher[1, m - 2]) or glob_large_float <= abs(array_y2_higher[1, m - 3]) or glob_large_float <= abs(array_y2_higher[1, m - 4]) or glob_large_float <= abs(array_y2_higher[1, m - 5]) then array_complex_pole[1, 1] := glob_large_float; array_complex_pole[1, 2] := glob_large_float else rm0 := array_y2_higher[1, m]/array_y2_higher[1, m - 1]; rm1 := array_y2_higher[1, m - 1]/array_y2_higher[1, m - 2]; rm2 := array_y2_higher[1, m - 2]/array_y2_higher[1, m - 3]; rm3 := array_y2_higher[1, m - 3]/array_y2_higher[1, m - 4]; rm4 := array_y2_higher[1, m - 4]/array_y2_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 - 2; cnt := 0; while cnt < 5 and 10 <= n do if glob_small_float < abs(array_y1_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_y1_higher[1, m]) or glob_large_float <= abs(array_y1_higher[1, m - 1]) or glob_large_float <= abs(array_y1_higher[1, m - 2]) or glob_large_float <= abs(array_y1_higher[1, m - 3]) or glob_large_float <= abs(array_y1_higher[1, m - 4]) or glob_large_float <= abs(array_y1_higher[1, m - 5]) then array_complex_pole[2, 1] := glob_large_float; array_complex_pole[2, 2] := glob_large_float else rm0 := array_y1_higher[1, m]/array_y1_higher[1, m - 1]; rm1 := array_y1_higher[1, m - 1]/array_y1_higher[1, m - 2]; rm2 := array_y1_higher[1, m - 2]/array_y1_higher[1, m - 3]; rm3 := array_y1_higher[1, m - 3]/array_y1_higher[1, m - 4]; rm4 := array_y1_higher[1, m - 4]/array_y1_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 > glob_iolevel, > glob_max_terms, > DEBUGL, > INFO, > ALWAYS, > DEBUGMASSIVE, > #Top Generate Globals Decl > glob_iter, > glob_optimal_start, > glob_max_trunc_err, > glob_disp_incr, > djd_debug2, > glob_max_opt_iter, > glob_warned2, > glob_optimal_clock_start_sec, > glob_log10_abserr, > glob_dump_analytic, > glob_reached_optimal_h, > glob_start, > glob_large_float, > centuries_in_millinium, > sec_in_min, > djd_debug, > glob_dump, > glob_html_log, > MAX_UNCHANGED, > glob_orig_start_sec, > glob_warned, > glob_current_iter, > glob_max_sec, > glob_max_rel_trunc_err, > glob_max_iter, > glob_last_good_h, > glob_hmin_init, > glob_clock_sec, > years_in_century, > days_in_year, > glob_display_flag, > glob_log10relerr, > glob_log10abserr, > glob_normmax, > glob_look_poles, > glob_h, > hours_in_day, > glob_subiter_method, > glob_percent_done, > glob_no_eqs, > glob_relerr, > glob_almost_1, > glob_small_float, > glob_initial_pass, > glob_not_yet_finished, > glob_max_minutes, > glob_curr_iter_when_opt, > glob_clock_start_sec, > min_in_hour, > glob_smallish_float, > glob_abserr, > glob_log10_relerr, > glob_hmax, > glob_optimal_done, > glob_optimal_expect_sec, > glob_unchanged_h_cnt, > glob_max_hours, > glob_hmin, > glob_not_yet_start_msg, > glob_log10normmin, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_0D0, > array_const_1D0, > array_const_1, > array_const_3, > #END CONST > array_y2_init, > array_last_rel_error, > array_norms, > array_type_pole, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_m1, > array_pole, > array_tmp1_g, > array_y1_init, > array_1st_rel_error, > array_y2, > array_x, > array_y1, > array_y2_set_initial, > array_y1_higher_work, > array_y1_higher, > array_y2_higher_work2, > array_y1_higher_work2, > array_complex_pole, > array_y1_set_initial, > array_y2_higher, > array_y2_higher_work, > array_real_pole, > array_poles, > 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_y2[iii]) > array_norms[iii]) then # if number 4 > array_norms[iii] := abs(array_y2[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_y1[iii]) > array_norms[iii]) then # if number 4 > array_norms[iii] := abs(array_y1[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 glob_iolevel, glob_max_terms, DEBUGL, INFO, ALWAYS, DEBUGMASSIVE, glob_iter, glob_optimal_start, glob_max_trunc_err, glob_disp_incr, djd_debug2, glob_max_opt_iter, glob_warned2, glob_optimal_clock_start_sec, glob_log10_abserr, glob_dump_analytic, glob_reached_optimal_h, glob_start, glob_large_float, centuries_in_millinium, sec_in_min, djd_debug, glob_dump, glob_html_log, MAX_UNCHANGED, glob_orig_start_sec, glob_warned, glob_current_iter, glob_max_sec, glob_max_rel_trunc_err, glob_max_iter, glob_last_good_h, glob_hmin_init, glob_clock_sec, years_in_century, days_in_year, glob_display_flag, glob_log10relerr, glob_log10abserr, glob_normmax, glob_look_poles, glob_h, hours_in_day, glob_subiter_method, glob_percent_done, glob_no_eqs, glob_relerr, glob_almost_1, glob_small_float, glob_initial_pass, glob_not_yet_finished, glob_max_minutes, glob_curr_iter_when_opt, glob_clock_start_sec, min_in_hour, glob_smallish_float, glob_abserr, glob_log10_relerr, glob_hmax, glob_optimal_done, glob_optimal_expect_sec, glob_unchanged_h_cnt, glob_max_hours, glob_hmin, glob_not_yet_start_msg, glob_log10normmin, array_const_0D0, array_const_1D0, array_const_1, array_const_3, array_y2_init, array_last_rel_error, array_norms, array_type_pole, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_m1, array_pole, array_tmp1_g, array_y1_init, array_1st_rel_error, array_y2, array_x, array_y1, array_y2_set_initial, array_y1_higher_work, array_y1_higher, array_y2_higher_work2, array_y1_higher_work2, array_complex_pole, array_y1_set_initial, array_y2_higher, array_y2_higher_work, array_real_pole, array_poles, 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_y2[iii]) then array_norms[iii] := abs(array_y2[iii]) end if; iii := iii + 1 end do; iii := 1; while iii <= glob_max_terms do if array_norms[iii] < abs(array_y1[iii]) then array_norms[iii] := abs(array_y1[iii]) end if; iii := iii + 1 end do end if end proc > # Begin Function number 8 > atomall := proc() > global > glob_iolevel, > glob_max_terms, > DEBUGL, > INFO, > ALWAYS, > DEBUGMASSIVE, > #Top Generate Globals Decl > glob_iter, > glob_optimal_start, > glob_max_trunc_err, > glob_disp_incr, > djd_debug2, > glob_max_opt_iter, > glob_warned2, > glob_optimal_clock_start_sec, > glob_log10_abserr, > glob_dump_analytic, > glob_reached_optimal_h, > glob_start, > glob_large_float, > centuries_in_millinium, > sec_in_min, > djd_debug, > glob_dump, > glob_html_log, > MAX_UNCHANGED, > glob_orig_start_sec, > glob_warned, > glob_current_iter, > glob_max_sec, > glob_max_rel_trunc_err, > glob_max_iter, > glob_last_good_h, > glob_hmin_init, > glob_clock_sec, > years_in_century, > days_in_year, > glob_display_flag, > glob_log10relerr, > glob_log10abserr, > glob_normmax, > glob_look_poles, > glob_h, > hours_in_day, > glob_subiter_method, > glob_percent_done, > glob_no_eqs, > glob_relerr, > glob_almost_1, > glob_small_float, > glob_initial_pass, > glob_not_yet_finished, > glob_max_minutes, > glob_curr_iter_when_opt, > glob_clock_start_sec, > min_in_hour, > glob_smallish_float, > glob_abserr, > glob_log10_relerr, > glob_hmax, > glob_optimal_done, > glob_optimal_expect_sec, > glob_unchanged_h_cnt, > glob_max_hours, > glob_hmin, > glob_not_yet_start_msg, > glob_log10normmin, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_0D0, > array_const_1D0, > array_const_1, > array_const_3, > #END CONST > array_y2_init, > array_last_rel_error, > array_norms, > array_type_pole, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_m1, > array_pole, > array_tmp1_g, > array_y1_init, > array_1st_rel_error, > array_y2, > array_x, > array_y1, > array_y2_set_initial, > array_y1_higher_work, > array_y1_higher, > array_y2_higher_work2, > array_y1_higher_work2, > array_complex_pole, > array_y1_set_initial, > array_y2_higher, > array_y2_higher_work, > array_real_pole, > array_poles, > glob_last; > > local kkk, order_d, adj2, temporary, term; > #TOP ATOMALL > #END OUTFILE1 > #BEGIN ATOMHDR1 > #emit pre cos $eq_no = 1 > array_tmp1_g[1] := sin(array_x[1]); > array_tmp1[1] := cos(array_x[1]); > # emit pre mult $eq_no = 1 i = 1 > array_tmp2[1] := (array_m1[1] * (array_tmp1[1])); > #emit pre add $eq_no = 1 i = 1 > array_tmp3[1] := array_const_0D0[1] + array_tmp2[1]; > #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5 > if not array_y2_set_initial[1,4] then # if number 1 > if (1 <= glob_max_terms) then # if number 2 > temporary := array_tmp3[1] * (glob_h ^ (3)) * factorial_3(0,3); > array_y2[4] := temporary; > array_y2_higher[1,4] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,3] := temporary > ; > temporary := temporary / glob_h * (3.0); > array_y2_higher[3,2] := temporary > ; > temporary := temporary / glob_h * (4.0); > array_y2_higher[4,1] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 2; > # emit pre mult $eq_no = 2 i = 1 > array_tmp5[1] := (array_m1[1] * (array_y2[1])); > #emit pre add $eq_no = 2 i = 1 > array_tmp6[1] := array_tmp5[1] + array_const_1D0[1]; > #emit pre assign xxx $eq_no = 2 i = 1 $min_hdrs = 5 > if not array_y1_set_initial[2,2] then # if number 1 > if (1 <= glob_max_terms) then # if number 2 > temporary := array_tmp6[1] * (glob_h ^ (1)) * factorial_3(0,1); > array_y1[2] := temporary; > array_y1_higher[1,2] := temporary; > temporary := temporary / glob_h * (2.0); > array_y1_higher[2,1] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 2; > #END ATOMHDR1 > #BEGIN ATOMHDR2 > #emit pre cos $eq_no = 1 > array_tmp1_g[2] := (att(1,array_tmp1,array_x,1)); > array_tmp1[2] := (-att(1,array_tmp1_g,array_x,1)); > # emit pre mult $eq_no = 1 i = 2 > array_tmp2[2] := ats(2,array_m1,array_tmp1,1); > #emit pre add $eq_no = 1 i = 2 > array_tmp3[2] := array_const_0D0[2] + array_tmp2[2]; > #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5 > if not array_y2_set_initial[1,5] then # if number 1 > if (2 <= glob_max_terms) then # if number 2 > temporary := array_tmp3[2] * (glob_h ^ (3)) * factorial_3(1,4); > array_y2[5] := temporary; > array_y2_higher[1,5] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,4] := temporary > ; > temporary := temporary / glob_h * (3.0); > array_y2_higher[3,3] := temporary > ; > temporary := temporary / glob_h * (4.0); > array_y2_higher[4,2] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 3; > # emit pre mult $eq_no = 2 i = 2 > array_tmp5[2] := ats(2,array_m1,array_y2,1); > #emit pre add $eq_no = 2 i = 2 > array_tmp6[2] := array_tmp5[2] + array_const_1D0[2]; > #emit pre assign xxx $eq_no = 2 i = 2 $min_hdrs = 5 > if not array_y1_set_initial[2,3] then # if number 1 > if (2 <= glob_max_terms) then # if number 2 > temporary := array_tmp6[2] * (glob_h ^ (1)) * factorial_3(1,2); > array_y1[3] := temporary; > array_y1_higher[1,3] := temporary; > temporary := temporary / glob_h * (2.0); > array_y1_higher[2,2] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 3; > #END ATOMHDR2 > #BEGIN ATOMHDR3 > #emit pre cos $eq_no = 1 > array_tmp1_g[3] := (att(2,array_tmp1,array_x,1)); > array_tmp1[3] := (-att(2,array_tmp1_g,array_x,1)); > # emit pre mult $eq_no = 1 i = 3 > array_tmp2[3] := ats(3,array_m1,array_tmp1,1); > #emit pre add $eq_no = 1 i = 3 > array_tmp3[3] := array_const_0D0[3] + array_tmp2[3]; > #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5 > if not array_y2_set_initial[1,6] then # if number 1 > if (3 <= glob_max_terms) then # if number 2 > temporary := array_tmp3[3] * (glob_h ^ (3)) * factorial_3(2,5); > array_y2[6] := temporary; > array_y2_higher[1,6] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,5] := temporary > ; > temporary := temporary / glob_h * (3.0); > array_y2_higher[3,4] := temporary > ; > temporary := temporary / glob_h * (4.0); > array_y2_higher[4,3] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 4; > # emit pre mult $eq_no = 2 i = 3 > array_tmp5[3] := ats(3,array_m1,array_y2,1); > #emit pre add $eq_no = 2 i = 3 > array_tmp6[3] := array_tmp5[3] + array_const_1D0[3]; > #emit pre assign xxx $eq_no = 2 i = 3 $min_hdrs = 5 > if not array_y1_set_initial[2,4] then # if number 1 > if (3 <= glob_max_terms) then # if number 2 > temporary := array_tmp6[3] * (glob_h ^ (1)) * factorial_3(2,3); > array_y1[4] := temporary; > array_y1_higher[1,4] := temporary; > temporary := temporary / glob_h * (2.0); > array_y1_higher[2,3] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 4; > #END ATOMHDR3 > #BEGIN ATOMHDR4 > #emit pre cos $eq_no = 1 > array_tmp1_g[4] := (att(3,array_tmp1,array_x,1)); > array_tmp1[4] := (-att(3,array_tmp1_g,array_x,1)); > # emit pre mult $eq_no = 1 i = 4 > array_tmp2[4] := ats(4,array_m1,array_tmp1,1); > #emit pre add $eq_no = 1 i = 4 > array_tmp3[4] := array_const_0D0[4] + array_tmp2[4]; > #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5 > if not array_y2_set_initial[1,7] then # if number 1 > if (4 <= glob_max_terms) then # if number 2 > temporary := array_tmp3[4] * (glob_h ^ (3)) * factorial_3(3,6); > array_y2[7] := temporary; > array_y2_higher[1,7] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,6] := temporary > ; > temporary := temporary / glob_h * (3.0); > array_y2_higher[3,5] := temporary > ; > temporary := temporary / glob_h * (4.0); > array_y2_higher[4,4] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 5; > # emit pre mult $eq_no = 2 i = 4 > array_tmp5[4] := ats(4,array_m1,array_y2,1); > #emit pre add $eq_no = 2 i = 4 > array_tmp6[4] := array_tmp5[4] + array_const_1D0[4]; > #emit pre assign xxx $eq_no = 2 i = 4 $min_hdrs = 5 > if not array_y1_set_initial[2,5] then # if number 1 > if (4 <= glob_max_terms) then # if number 2 > temporary := array_tmp6[4] * (glob_h ^ (1)) * factorial_3(3,4); > array_y1[5] := temporary; > array_y1_higher[1,5] := temporary; > temporary := temporary / glob_h * (2.0); > array_y1_higher[2,4] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 5; > #END ATOMHDR4 > #BEGIN ATOMHDR5 > #emit pre cos $eq_no = 1 > array_tmp1_g[5] := (att(4,array_tmp1,array_x,1)); > array_tmp1[5] := (-att(4,array_tmp1_g,array_x,1)); > # emit pre mult $eq_no = 1 i = 5 > array_tmp2[5] := ats(5,array_m1,array_tmp1,1); > #emit pre add $eq_no = 1 i = 5 > array_tmp3[5] := array_const_0D0[5] + array_tmp2[5]; > #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5 > if not array_y2_set_initial[1,8] then # if number 1 > if (5 <= glob_max_terms) then # if number 2 > temporary := array_tmp3[5] * (glob_h ^ (3)) * factorial_3(4,7); > array_y2[8] := temporary; > array_y2_higher[1,8] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,7] := temporary > ; > temporary := temporary / glob_h * (3.0); > array_y2_higher[3,6] := temporary > ; > temporary := temporary / glob_h * (4.0); > array_y2_higher[4,5] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 6; > # emit pre mult $eq_no = 2 i = 5 > array_tmp5[5] := ats(5,array_m1,array_y2,1); > #emit pre add $eq_no = 2 i = 5 > array_tmp6[5] := array_tmp5[5] + array_const_1D0[5]; > #emit pre assign xxx $eq_no = 2 i = 5 $min_hdrs = 5 > if not array_y1_set_initial[2,6] then # if number 1 > if (5 <= glob_max_terms) then # if number 2 > temporary := array_tmp6[5] * (glob_h ^ (1)) * factorial_3(4,5); > array_y1[6] := temporary; > array_y1_higher[1,6] := temporary; > temporary := temporary / glob_h * (2.0); > array_y1_higher[2,5] := 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 cos $eq_no = 1 > array_tmp1_g[kkk] := (att(kkk-1,array_tmp1,array_x,1)); > array_tmp1[kkk] := (-att(kkk-1,array_tmp1_g,array_x,1)); > #emit mult $eq_no = 1 > array_tmp2[kkk] := ats(kkk,array_m1,array_tmp1,1); > #emit add $eq_no = 1 > array_tmp3[kkk] := array_const_0D0[kkk] + array_tmp2[kkk]; > #emit assign $eq_no = 1 > order_d := 3; > if (kkk + order_d + 1 <= glob_max_terms) then # if number 1 > if not array_y2_set_initial[1,kkk + order_d] then # if number 2 > temporary := array_tmp3[kkk] * (glob_h ^ (order_d)) / factorial_3((kkk - 1),(kkk + order_d - 1)); > array_y2[kkk + order_d] := temporary; > array_y2_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_y2_higher[adj2,term] := temporary; > adj2 := adj2 + 1; > term := term - 1; > od;# end do number 2 > fi;# end if 2 > fi;# end if 1 > ; > #emit mult $eq_no = 2 > array_tmp5[kkk] := ats(kkk,array_m1,array_y2,1); > #emit add $eq_no = 2 > array_tmp6[kkk] := array_tmp5[kkk] + array_const_1D0[kkk]; > #emit assign $eq_no = 2 > order_d := 1; > if (kkk + order_d + 1 <= glob_max_terms) then # if number 1 > if not array_y1_set_initial[2,kkk + order_d] then # if number 2 > temporary := array_tmp6[kkk] * (glob_h ^ (order_d)) / factorial_3((kkk - 1),(kkk + order_d - 1)); > array_y1[kkk + order_d] := temporary; > array_y1_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_y1_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 glob_iolevel, glob_max_terms, DEBUGL, INFO, ALWAYS, DEBUGMASSIVE, glob_iter, glob_optimal_start, glob_max_trunc_err, glob_disp_incr, djd_debug2, glob_max_opt_iter, glob_warned2, glob_optimal_clock_start_sec, glob_log10_abserr, glob_dump_analytic, glob_reached_optimal_h, glob_start, glob_large_float, centuries_in_millinium, sec_in_min, djd_debug, glob_dump, glob_html_log, MAX_UNCHANGED, glob_orig_start_sec, glob_warned, glob_current_iter, glob_max_sec, glob_max_rel_trunc_err, glob_max_iter, glob_last_good_h, glob_hmin_init, glob_clock_sec, years_in_century, days_in_year, glob_display_flag, glob_log10relerr, glob_log10abserr, glob_normmax, glob_look_poles, glob_h, hours_in_day, glob_subiter_method, glob_percent_done, glob_no_eqs, glob_relerr, glob_almost_1, glob_small_float, glob_initial_pass, glob_not_yet_finished, glob_max_minutes, glob_curr_iter_when_opt, glob_clock_start_sec, min_in_hour, glob_smallish_float, glob_abserr, glob_log10_relerr, glob_hmax, glob_optimal_done, glob_optimal_expect_sec, glob_unchanged_h_cnt, glob_max_hours, glob_hmin, glob_not_yet_start_msg, glob_log10normmin, array_const_0D0, array_const_1D0, array_const_1, array_const_3, array_y2_init, array_last_rel_error, array_norms, array_type_pole, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_m1, array_pole, array_tmp1_g, array_y1_init, array_1st_rel_error, array_y2, array_x, array_y1, array_y2_set_initial, array_y1_higher_work, array_y1_higher, array_y2_higher_work2, array_y1_higher_work2, array_complex_pole, array_y1_set_initial, array_y2_higher, array_y2_higher_work, array_real_pole, array_poles, glob_last; array_tmp1_g[1] := sin(array_x[1]); array_tmp1[1] := cos(array_x[1]); array_tmp2[1] := array_m1[1]*array_tmp1[1]; array_tmp3[1] := array_const_0D0[1] + array_tmp2[1]; if not array_y2_set_initial[1, 4] then if 1 <= glob_max_terms then temporary := array_tmp3[1]*glob_h^3*factorial_3(0, 3); array_y2[4] := temporary; array_y2_higher[1, 4] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 3] := temporary; temporary := temporary*3.0/glob_h; array_y2_higher[3, 2] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[4, 1] := temporary end if end if; kkk := 2; array_tmp5[1] := array_m1[1]*array_y2[1]; array_tmp6[1] := array_tmp5[1] + array_const_1D0[1]; if not array_y1_set_initial[2, 2] then if 1 <= glob_max_terms then temporary := array_tmp6[1]*glob_h*factorial_3(0, 1); array_y1[2] := temporary; array_y1_higher[1, 2] := temporary; temporary := temporary*2.0/glob_h; array_y1_higher[2, 1] := temporary end if end if; kkk := 2; array_tmp1_g[2] := att(1, array_tmp1, array_x, 1); array_tmp1[2] := -att(1, array_tmp1_g, array_x, 1); array_tmp2[2] := ats(2, array_m1, array_tmp1, 1); array_tmp3[2] := array_const_0D0[2] + array_tmp2[2]; if not array_y2_set_initial[1, 5] then if 2 <= glob_max_terms then temporary := array_tmp3[2]*glob_h^3*factorial_3(1, 4); array_y2[5] := temporary; array_y2_higher[1, 5] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 4] := temporary; temporary := temporary*3.0/glob_h; array_y2_higher[3, 3] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[4, 2] := temporary end if end if; kkk := 3; array_tmp5[2] := ats(2, array_m1, array_y2, 1); array_tmp6[2] := array_tmp5[2] + array_const_1D0[2]; if not array_y1_set_initial[2, 3] then if 2 <= glob_max_terms then temporary := array_tmp6[2]*glob_h*factorial_3(1, 2); array_y1[3] := temporary; array_y1_higher[1, 3] := temporary; temporary := temporary*2.0/glob_h; array_y1_higher[2, 2] := temporary end if end if; kkk := 3; array_tmp1_g[3] := att(2, array_tmp1, array_x, 1); array_tmp1[3] := -att(2, array_tmp1_g, array_x, 1); array_tmp2[3] := ats(3, array_m1, array_tmp1, 1); array_tmp3[3] := array_const_0D0[3] + array_tmp2[3]; if not array_y2_set_initial[1, 6] then if 3 <= glob_max_terms then temporary := array_tmp3[3]*glob_h^3*factorial_3(2, 5); array_y2[6] := temporary; array_y2_higher[1, 6] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 5] := temporary; temporary := temporary*3.0/glob_h; array_y2_higher[3, 4] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[4, 3] := temporary end if end if; kkk := 4; array_tmp5[3] := ats(3, array_m1, array_y2, 1); array_tmp6[3] := array_tmp5[3] + array_const_1D0[3]; if not array_y1_set_initial[2, 4] then if 3 <= glob_max_terms then temporary := array_tmp6[3]*glob_h*factorial_3(2, 3); array_y1[4] := temporary; array_y1_higher[1, 4] := temporary; temporary := temporary*2.0/glob_h; array_y1_higher[2, 3] := temporary end if end if; kkk := 4; array_tmp1_g[4] := att(3, array_tmp1, array_x, 1); array_tmp1[4] := -att(3, array_tmp1_g, array_x, 1); array_tmp2[4] := ats(4, array_m1, array_tmp1, 1); array_tmp3[4] := array_const_0D0[4] + array_tmp2[4]; if not array_y2_set_initial[1, 7] then if 4 <= glob_max_terms then temporary := array_tmp3[4]*glob_h^3*factorial_3(3, 6); array_y2[7] := temporary; array_y2_higher[1, 7] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 6] := temporary; temporary := temporary*3.0/glob_h; array_y2_higher[3, 5] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[4, 4] := temporary end if end if; kkk := 5; array_tmp5[4] := ats(4, array_m1, array_y2, 1); array_tmp6[4] := array_tmp5[4] + array_const_1D0[4]; if not array_y1_set_initial[2, 5] then if 4 <= glob_max_terms then temporary := array_tmp6[4]*glob_h*factorial_3(3, 4); array_y1[5] := temporary; array_y1_higher[1, 5] := temporary; temporary := temporary*2.0/glob_h; array_y1_higher[2, 4] := temporary end if end if; kkk := 5; array_tmp1_g[5] := att(4, array_tmp1, array_x, 1); array_tmp1[5] := -att(4, array_tmp1_g, array_x, 1); array_tmp2[5] := ats(5, array_m1, array_tmp1, 1); array_tmp3[5] := array_const_0D0[5] + array_tmp2[5]; if not array_y2_set_initial[1, 8] then if 5 <= glob_max_terms then temporary := array_tmp3[5]*glob_h^3*factorial_3(4, 7); array_y2[8] := temporary; array_y2_higher[1, 8] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 7] := temporary; temporary := temporary*3.0/glob_h; array_y2_higher[3, 6] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[4, 5] := temporary end if end if; kkk := 6; array_tmp5[5] := ats(5, array_m1, array_y2, 1); array_tmp6[5] := array_tmp5[5] + array_const_1D0[5]; if not array_y1_set_initial[2, 6] then if 5 <= glob_max_terms then temporary := array_tmp6[5]*glob_h*factorial_3(4, 5); array_y1[6] := temporary; array_y1_higher[1, 6] := temporary; temporary := temporary*2.0/glob_h; array_y1_higher[2, 5] := temporary end if end if; kkk := 6; while kkk <= glob_max_terms do array_tmp1_g[kkk] := att(kkk - 1, array_tmp1, array_x, 1); array_tmp1[kkk] := -att(kkk - 1, array_tmp1_g, array_x, 1); array_tmp2[kkk] := ats(kkk, array_m1, array_tmp1, 1); array_tmp3[kkk] := array_const_0D0[kkk] + array_tmp2[kkk]; order_d := 3; if kkk + order_d + 1 <= glob_max_terms then if not array_y2_set_initial[1, kkk + order_d] then temporary := array_tmp3[kkk]*glob_h^order_d/ factorial_3(kkk - 1, kkk + order_d - 1); array_y2[kkk + order_d] := temporary; array_y2_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_y2_higher[adj2, term] := temporary; adj2 := adj2 + 1; term := term - 1 end do end if end if; array_tmp5[kkk] := ats(kkk, array_m1, array_y2, 1); array_tmp6[kkk] := array_tmp5[kkk] + array_const_1D0[kkk]; order_d := 1; if kkk + order_d + 1 <= glob_max_terms then if not array_y1_set_initial[2, kkk + order_d] then temporary := array_tmp6[kkk]*glob_h^order_d/ factorial_3(kkk - 1, kkk + order_d - 1); array_y1[kkk + order_d] := temporary; array_y1_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_y1_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_y2 := proc(x) > 1.0 + cos(x); > end; exact_soln_y2 := proc(x) 1.0 + cos(x) end proc > exact_soln_y2p := proc(x) > -sin(x); > end; exact_soln_y2p := proc(x) -sin(x) end proc > exact_soln_y2pp := proc(x) > -cos(x); > end; exact_soln_y2pp := proc(x) -cos(x) end proc > exact_soln_y1 := proc(x) > 1.0 - sin(x); > end; exact_soln_y1 := proc(x) 1.0 - sin(x) 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, > x_start,x_end > ,it, log10norm, max_terms, opt_iter, tmp; > #Top Generate Globals Definition > #Bottom Generate Globals Deninition > global > glob_iolevel, > glob_max_terms, > DEBUGL, > INFO, > ALWAYS, > DEBUGMASSIVE, > #Top Generate Globals Decl > glob_iter, > glob_optimal_start, > glob_max_trunc_err, > glob_disp_incr, > djd_debug2, > glob_max_opt_iter, > glob_warned2, > glob_optimal_clock_start_sec, > glob_log10_abserr, > glob_dump_analytic, > glob_reached_optimal_h, > glob_start, > glob_large_float, > centuries_in_millinium, > sec_in_min, > djd_debug, > glob_dump, > glob_html_log, > MAX_UNCHANGED, > glob_orig_start_sec, > glob_warned, > glob_current_iter, > glob_max_sec, > glob_max_rel_trunc_err, > glob_max_iter, > glob_last_good_h, > glob_hmin_init, > glob_clock_sec, > years_in_century, > days_in_year, > glob_display_flag, > glob_log10relerr, > glob_log10abserr, > glob_normmax, > glob_look_poles, > glob_h, > hours_in_day, > glob_subiter_method, > glob_percent_done, > glob_no_eqs, > glob_relerr, > glob_almost_1, > glob_small_float, > glob_initial_pass, > glob_not_yet_finished, > glob_max_minutes, > glob_curr_iter_when_opt, > glob_clock_start_sec, > min_in_hour, > glob_smallish_float, > glob_abserr, > glob_log10_relerr, > glob_hmax, > glob_optimal_done, > glob_optimal_expect_sec, > glob_unchanged_h_cnt, > glob_max_hours, > glob_hmin, > glob_not_yet_start_msg, > glob_log10normmin, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_0D0, > array_const_1D0, > array_const_1, > array_const_3, > #END CONST > array_y2_init, > array_last_rel_error, > array_norms, > array_type_pole, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_m1, > array_pole, > array_tmp1_g, > array_y1_init, > array_1st_rel_error, > array_y2, > array_x, > array_y1, > array_y2_set_initial, > array_y1_higher_work, > array_y1_higher, > array_y2_higher_work2, > array_y1_higher_work2, > array_complex_pole, > array_y1_set_initial, > array_y2_higher, > array_y2_higher_work, > array_real_pole, > array_poles, > glob_last; > glob_last; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > glob_iolevel := INFO; > glob_iolevel := 5; > glob_max_terms := 30; > DEBUGL := 3; > INFO := 2; > ALWAYS := 1; > DEBUGMASSIVE := 4; > glob_iter := 0; > glob_optimal_start := 0.0; > glob_max_trunc_err := 0.1e-10; > glob_disp_incr := 0.1; > djd_debug2 := true; > glob_max_opt_iter := 10; > glob_warned2 := false; > glob_optimal_clock_start_sec := 0.0; > glob_log10_abserr := 0.1e-10; > glob_dump_analytic := false; > glob_reached_optimal_h := false; > glob_start := 0; > glob_large_float := 9.0e100; > centuries_in_millinium := 10.0; > sec_in_min := 60.0; > djd_debug := true; > glob_dump := false; > glob_html_log := true; > MAX_UNCHANGED := 10; > glob_orig_start_sec := 0.0; > glob_warned := false; > glob_current_iter := 0; > glob_max_sec := 10000.0; > glob_max_rel_trunc_err := 0.1e-10; > glob_max_iter := 1000; > glob_last_good_h := 0.1; > glob_hmin_init := 0.001; > glob_clock_sec := 0.0; > years_in_century := 100.0; > days_in_year := 365.0; > glob_display_flag := true; > glob_log10relerr := 0.0; > glob_log10abserr := 0.0; > glob_normmax := 0.0; > glob_look_poles := false; > glob_h := 0.1; > hours_in_day := 24.0; > glob_subiter_method := 3; > glob_percent_done := 0.0; > glob_no_eqs := 0; > glob_relerr := 0.1e-10; > glob_almost_1 := 0.9990; > glob_small_float := 0.1e-50; > glob_initial_pass := true; > glob_not_yet_finished := true; > glob_max_minutes := 0.0; > glob_curr_iter_when_opt := 0; > glob_clock_start_sec := 0.0; > min_in_hour := 60.0; > glob_smallish_float := 0.1e-100; > glob_abserr := 0.1e-10; > glob_log10_relerr := 0.1e-10; > glob_hmax := 1.0; > glob_optimal_done := false; > glob_optimal_expect_sec := 0.1; > glob_unchanged_h_cnt := 0; > glob_max_hours := 0.0; > glob_hmin := 0.00000000001; > glob_not_yet_start_msg := true; > glob_log10normmin := 0.1; > #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/mtest4postode.ode#################"); > omniout_str(ALWAYS,"diff ( y2 , x , 3 ) = m1 * cos(x) ;"); > omniout_str(ALWAYS,"diff ( y1 , x , 1 ) = m1 * y2 + 1.0;"); > 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,"x_start := 0.1;"); > omniout_str(ALWAYS,"x_end := 5.0;"); > omniout_str(ALWAYS,"glob_h := 0.00001;"); > omniout_str(ALWAYS,"array_y1_init[0 + 1] := exact_soln_y1(x_start);"); > omniout_str(ALWAYS,"array_y2_init[0 + 1] := exact_soln_y2(x_start);"); > omniout_str(ALWAYS,"array_y2_init[1 + 1] := exact_soln_y2p(x_start);"); > omniout_str(ALWAYS,"array_y2_init[2 + 1] := exact_soln_y2pp(x_start);"); > omniout_str(ALWAYS,"glob_max_iter := 20;"); > omniout_str(ALWAYS,"#END SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK"); > omniout_str(ALWAYS,"glob_h := 0.001 ;"); > 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_y2 := proc(x)"); > omniout_str(ALWAYS,"1.0 + cos(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_y2p := proc(x)"); > omniout_str(ALWAYS,"-sin(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_y2pp := proc(x)"); > omniout_str(ALWAYS,"-cos(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_y1 := proc(x)"); > omniout_str(ALWAYS,"1.0 - sin(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,""); > 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_y2_init:= Array(1..(max_terms + 1),[]); > array_last_rel_error:= Array(1..(max_terms + 1),[]); > array_norms:= 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_m1:= Array(1..(max_terms + 1),[]); > array_pole:= Array(1..(max_terms + 1),[]); > array_tmp1_g:= Array(1..(max_terms + 1),[]); > array_y1_init:= Array(1..(max_terms + 1),[]); > array_1st_rel_error:= Array(1..(max_terms + 1),[]); > array_y2:= Array(1..(max_terms + 1),[]); > array_x:= Array(1..(max_terms + 1),[]); > array_y1:= Array(1..(max_terms + 1),[]); > array_y2_set_initial := Array(1..(3+ 1) ,(1..max_terms+ 1),[]); > array_y1_higher_work := Array(1..(2+ 1) ,(1..max_terms+ 1),[]); > array_y1_higher := Array(1..(2+ 1) ,(1..max_terms+ 1),[]); > array_y2_higher_work2 := Array(1..(4+ 1) ,(1..max_terms+ 1),[]); > array_y1_higher_work2 := Array(1..(2+ 1) ,(1..max_terms+ 1),[]); > array_complex_pole := Array(1..(2+ 1) ,(1..3+ 1),[]); > array_y1_set_initial := Array(1..(3+ 1) ,(1..max_terms+ 1),[]); > array_y2_higher := Array(1..(4+ 1) ,(1..max_terms+ 1),[]); > array_y2_higher_work := Array(1..(4+ 1) ,(1..max_terms+ 1),[]); > array_real_pole := Array(1..(2+ 1) ,(1..3+ 1),[]); > array_poles := Array(1..(2+ 1) ,(1..3+ 1),[]); > term := 1; > while term <= max_terms do # do number 2 > array_y2_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_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_m1[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_tmp1_g[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_y1_init[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > 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_y2[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_y1[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_y2_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 <= max_terms do # do number 3 > array_y1_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 <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y1_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 <=4 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y2_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 <= max_terms do # do number 3 > array_y1_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_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 <=3 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y1_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 <=4 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y2_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 <=4 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y2_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 <=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 <=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 > ; > #BEGIN ARRAYS DEFINED AND INITIALIZATED > 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_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp1_g := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp1_g[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_y1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_y1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_x := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_y2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_y2[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > 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_1D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_1D0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_1D0[1] := 1.0; > 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_const_3 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_3[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_3[1] := 3; > 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 > x_start := 0.1; > x_end := 5.0; > glob_h := 0.00001; > array_y1_init[0 + 1] := exact_soln_y1(x_start); > array_y2_init[0 + 1] := exact_soln_y2(x_start); > array_y2_init[1 + 1] := exact_soln_y2p(x_start); > array_y2_init[2 + 1] := exact_soln_y2pp(x_start); > glob_max_iter := 20; > #END SECOND INPUT BLOCK > #BEGIN OVERRIDE BLOCK > glob_h := 0.001 ; > 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_y2_set_initial[1,1] := true; > array_y2_set_initial[1,2] := true; > array_y2_set_initial[1,3] := true; > array_y2_set_initial[1,4] := false; > array_y2_set_initial[1,5] := false; > array_y2_set_initial[1,6] := false; > array_y2_set_initial[1,7] := false; > array_y2_set_initial[1,8] := false; > array_y2_set_initial[1,9] := false; > array_y2_set_initial[1,10] := false; > array_y2_set_initial[1,11] := false; > array_y2_set_initial[1,12] := false; > array_y2_set_initial[1,13] := false; > array_y2_set_initial[1,14] := false; > array_y2_set_initial[1,15] := false; > array_y2_set_initial[1,16] := false; > array_y2_set_initial[1,17] := false; > array_y2_set_initial[1,18] := false; > array_y2_set_initial[1,19] := false; > array_y2_set_initial[1,20] := false; > array_y2_set_initial[1,21] := false; > array_y2_set_initial[1,22] := false; > array_y2_set_initial[1,23] := false; > array_y2_set_initial[1,24] := false; > array_y2_set_initial[1,25] := false; > array_y2_set_initial[1,26] := false; > array_y2_set_initial[1,27] := false; > array_y2_set_initial[1,28] := false; > array_y2_set_initial[1,29] := false; > array_y2_set_initial[1,30] := false; > array_y1_set_initial[2,1] := true; > array_y1_set_initial[2,2] := false; > array_y1_set_initial[2,3] := false; > array_y1_set_initial[2,4] := false; > array_y1_set_initial[2,5] := false; > array_y1_set_initial[2,6] := false; > array_y1_set_initial[2,7] := false; > array_y1_set_initial[2,8] := false; > array_y1_set_initial[2,9] := false; > array_y1_set_initial[2,10] := false; > array_y1_set_initial[2,11] := false; > array_y1_set_initial[2,12] := false; > array_y1_set_initial[2,13] := false; > array_y1_set_initial[2,14] := false; > array_y1_set_initial[2,15] := false; > array_y1_set_initial[2,16] := false; > array_y1_set_initial[2,17] := false; > array_y1_set_initial[2,18] := false; > array_y1_set_initial[2,19] := false; > array_y1_set_initial[2,20] := false; > array_y1_set_initial[2,21] := false; > array_y1_set_initial[2,22] := false; > array_y1_set_initial[2,23] := false; > array_y1_set_initial[2,24] := false; > array_y1_set_initial[2,25] := false; > array_y1_set_initial[2,26] := false; > array_y1_set_initial[2,27] := false; > array_y1_set_initial[2,28] := false; > array_y1_set_initial[2,29] := false; > array_y1_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_x[1] := x_start; > array_x[2] := glob_h; > order_diff := 3; > #Start Series array_y2 > term_no := 1; > while (term_no <= order_diff) do # do number 2 > array_y2[term_no] := array_y2_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_y2_higher[r_order,term_no] := array_y2_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 := 1; > #Start Series array_y1 > term_no := 1; > while (term_no <= order_diff) do # do number 2 > array_y1[term_no] := array_y1_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_y1_higher[r_order,term_no] := array_y1_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_y2(); > if (abs(array_y2_higher[1,1]) > glob_small_float) then # if number 3 > tmp := abs(array_y2_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_y1(); > if (abs(array_y1_higher[1,1]) > glob_small_float) then # if number 3 > tmp := abs(array_y1_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_x[1] <= x_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 <= 4 do # do number 3 > atomall(); > subiter := subiter + 1; > od;# end do number 3 > ; > else > subiter := 1; > while subiter <= 4 + 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_x[1] := array_x[1] + glob_h; > array_x[2] := glob_h; > #Jump Series array_y2 > order_diff := 3; > #START PART 1 SUM AND ADJUST > #START SUM AND ADJUST EQ =1 > #sum_and_adjust array_y2 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 4; > calc_term := 1; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[4,iii] := array_y2_higher[4,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 := 4; > calc_term := 1; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_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 := 3; > calc_term := 2; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[3,iii] := array_y2_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 := 2; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_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 := 3; > calc_term := 1; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[3,iii] := array_y2_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_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_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 := 3; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[2,iii] := array_y2_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 := 3; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_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_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[2,iii] := array_y2_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_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_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_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[2,iii] := array_y2_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_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_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 := 4; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[1,iii] := array_y2_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 := 4; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_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_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[1,iii] := array_y2_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_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_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_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[1,iii] := array_y2_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_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_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_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[1,iii] := array_y2_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_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_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_y2[term_no] := array_y2_higher_work2[1,term_no]; > ord := 1; > while ord <= order_diff do # do number 4 > array_y2_higher[ord,term_no] := array_y2_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_y1 > order_diff := 1; > #START PART 1 SUM AND ADJUST > #START SUM AND ADJUST EQ =2 > #sum_and_adjust array_y1 > #BEFORE ADJUST SUBSERIES EQ =2 > ord := 2; > calc_term := 1; > #adjust_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y1_higher_work[2,iii] := array_y1_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_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y1_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y1_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_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y1_higher_work[1,iii] := array_y1_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_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y1_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y1_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_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y1_higher_work[1,iii] := array_y1_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_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y1_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y1_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_y1[term_no] := array_y1_higher_work2[1,term_no]; > ord := 1; > while ord <= order_diff do # do number 4 > array_y1_higher[ord,term_no] := array_y1_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 ( y2 , x , 3 ) = m1 * cos(x) ;"); > omniout_str(INFO,"diff ( y1 , x , 1 ) = m1 * y2 + 1.0;"); > omniout_int(INFO,"Iterations ",32,glob_iter,4," ") > ; > prog_report(x_start,x_end); > if glob_html_log then # if number 4 > logstart(html_log_file); > logitem_str(html_log_file,"2012-06-15T21:28:26-05:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"mtest4") > ; > logitem_str(html_log_file,"diff ( y2 , x , 3 ) = m1 * cos(x) ;") > ; > logitem_float(html_log_file,x_start) > ; > logitem_float(html_log_file,x_end) > ; > logitem_float(html_log_file,array_x[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,"mtest4 diffeq.mxt") > ; > logitem_str(html_log_file,"mtest4 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 ( y1 , x , 1 ) = m1 * y2 + 1.0;") > ; > 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, x_start, x_end, it, log10norm, max_terms, opt_iter, tmp, subiter; global glob_iolevel, glob_max_terms, DEBUGL, INFO, ALWAYS, DEBUGMASSIVE, glob_iter, glob_optimal_start, glob_max_trunc_err, glob_disp_incr, djd_debug2, glob_max_opt_iter, glob_warned2, glob_optimal_clock_start_sec, glob_log10_abserr, glob_dump_analytic, glob_reached_optimal_h, glob_start, glob_large_float, centuries_in_millinium, sec_in_min, djd_debug, glob_dump, glob_html_log, MAX_UNCHANGED, glob_orig_start_sec, glob_warned, glob_current_iter, glob_max_sec, glob_max_rel_trunc_err, glob_max_iter, glob_last_good_h, glob_hmin_init, glob_clock_sec, years_in_century, days_in_year, glob_display_flag, glob_log10relerr, glob_log10abserr, glob_normmax, glob_look_poles, glob_h, hours_in_day, glob_subiter_method, glob_percent_done, glob_no_eqs, glob_relerr, glob_almost_1, glob_small_float, glob_initial_pass, glob_not_yet_finished, glob_max_minutes, glob_curr_iter_when_opt, glob_clock_start_sec, min_in_hour, glob_smallish_float, glob_abserr, glob_log10_relerr, glob_hmax, glob_optimal_done, glob_optimal_expect_sec, glob_unchanged_h_cnt, glob_max_hours, glob_hmin, glob_not_yet_start_msg, glob_log10normmin, array_const_0D0, array_const_1D0, array_const_1, array_const_3, array_y2_init, array_last_rel_error, array_norms, array_type_pole, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_m1, array_pole, array_tmp1_g, array_y1_init, array_1st_rel_error, array_y2, array_x, array_y1, array_y2_set_initial, array_y1_higher_work, array_y1_higher, array_y2_higher_work2, array_y1_higher_work2, array_complex_pole, array_y1_set_initial, array_y2_higher, array_y2_higher_work, array_real_pole, array_poles, glob_last; glob_last; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; glob_iolevel := INFO; glob_iolevel := 5; glob_max_terms := 30; DEBUGL := 3; INFO := 2; ALWAYS := 1; DEBUGMASSIVE := 4; glob_iter := 0; glob_optimal_start := 0.; glob_max_trunc_err := 0.1*10^(-10); glob_disp_incr := 0.1; djd_debug2 := true; glob_max_opt_iter := 10; glob_warned2 := false; glob_optimal_clock_start_sec := 0.; glob_log10_abserr := 0.1*10^(-10); glob_dump_analytic := false; glob_reached_optimal_h := false; glob_start := 0; glob_large_float := 0.90*10^101; centuries_in_millinium := 10.0; sec_in_min := 60.0; djd_debug := true; glob_dump := false; glob_html_log := true; MAX_UNCHANGED := 10; glob_orig_start_sec := 0.; glob_warned := false; glob_current_iter := 0; glob_max_sec := 10000.0; glob_max_rel_trunc_err := 0.1*10^(-10); glob_max_iter := 1000; glob_last_good_h := 0.1; glob_hmin_init := 0.001; glob_clock_sec := 0.; years_in_century := 100.0; days_in_year := 365.0; glob_display_flag := true; glob_log10relerr := 0.; glob_log10abserr := 0.; glob_normmax := 0.; glob_look_poles := false; glob_h := 0.1; hours_in_day := 24.0; glob_subiter_method := 3; glob_percent_done := 0.; glob_no_eqs := 0; glob_relerr := 0.1*10^(-10); glob_almost_1 := 0.9990; glob_small_float := 0.1*10^(-50); glob_initial_pass := true; glob_not_yet_finished := true; glob_max_minutes := 0.; glob_curr_iter_when_opt := 0; glob_clock_start_sec := 0.; min_in_hour := 60.0; glob_smallish_float := 0.1*10^(-100); glob_abserr := 0.1*10^(-10); glob_log10_relerr := 0.1*10^(-10); glob_hmax := 1.0; glob_optimal_done := false; glob_optimal_expect_sec := 0.1; glob_unchanged_h_cnt := 0; glob_max_hours := 0.; glob_hmin := 0.1*10^(-10); glob_not_yet_start_msg := true; glob_log10normmin := 0.1; 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/mtest4postode.ode#################"); omniout_str(ALWAYS, "diff ( y2 , x , 3 ) = m1 * cos(x) ;"); omniout_str(ALWAYS, "diff ( y1 , x , 1 ) = m1 * y2 + 1.0;"); 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, "x_start := 0.1;"); omniout_str(ALWAYS, "x_end := 5.0;"); omniout_str(ALWAYS, "glob_h := 0.00001;"); omniout_str(ALWAYS, "array_y1_init[0 + 1] := exact_soln_y1(x_start);"); omniout_str(ALWAYS, "array_y2_init[0 + 1] := exact_soln_y2(x_start);"); omniout_str(ALWAYS, "array_y2_init[1 + 1] := exact_soln_y2p(x_start);") ; omniout_str(ALWAYS, "array_y2_init[2 + 1] := exact_soln_y2pp(x_start);") ; omniout_str(ALWAYS, "glob_max_iter := 20;"); omniout_str(ALWAYS, "#END SECOND INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK"); omniout_str(ALWAYS, "glob_h := 0.001 ;"); 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_y2 := proc(x)"); omniout_str(ALWAYS, "1.0 + cos(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_y2p := proc(x)"); omniout_str(ALWAYS, "-sin(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_y2pp := proc(x)"); omniout_str(ALWAYS, "-cos(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_y1 := proc(x)"); omniout_str(ALWAYS, "1.0 - sin(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, ""); 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_y2_init := Array(1 .. max_terms + 1, []); array_last_rel_error := Array(1 .. max_terms + 1, []); array_norms := 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_m1 := Array(1 .. max_terms + 1, []); array_pole := Array(1 .. max_terms + 1, []); array_tmp1_g := Array(1 .. max_terms + 1, []); array_y1_init := Array(1 .. max_terms + 1, []); array_1st_rel_error := Array(1 .. max_terms + 1, []); array_y2 := Array(1 .. max_terms + 1, []); array_x := Array(1 .. max_terms + 1, []); array_y1 := Array(1 .. max_terms + 1, []); array_y2_set_initial := Array(1 .. 4, 1 .. max_terms + 1, []); array_y1_higher_work := Array(1 .. 3, 1 .. max_terms + 1, []); array_y1_higher := Array(1 .. 3, 1 .. max_terms + 1, []); array_y2_higher_work2 := Array(1 .. 5, 1 .. max_terms + 1, []); array_y1_higher_work2 := Array(1 .. 3, 1 .. max_terms + 1, []); array_complex_pole := Array(1 .. 3, 1 .. 4, []); array_y1_set_initial := Array(1 .. 4, 1 .. max_terms + 1, []); array_y2_higher := Array(1 .. 5, 1 .. max_terms + 1, []); array_y2_higher_work := Array(1 .. 5, 1 .. max_terms + 1, []); array_real_pole := Array(1 .. 3, 1 .. 4, []); array_poles := Array(1 .. 3, 1 .. 4, []); term := 1; while term <= max_terms do array_y2_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_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_m1[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_tmp1_g[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y1_init[term] := 0.; term := term + 1 end do; 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_y2[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_x[term] := 0.; term := term + 1 end do ; term := 1; while term <= max_terms do array_y1[term] := 0.; term := term + 1 end do; ord := 1; while ord <= 3 do term := 1; while term <= max_terms do array_y2_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 <= max_terms do array_y1_higher_work[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y1_higher[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 4 do term := 1; while term <= max_terms do array_y2_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 <= max_terms do array_y1_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_complex_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_y1_set_initial[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 4 do term := 1; while term <= max_terms do array_y2_higher[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 4 do term := 1; while term <= max_terms do array_y2_higher_work[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 <= 2 do term := 1; while term <= 3 do array_poles[ord, term] := 0.; term := term + 1 end do; ord := ord + 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_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1 end do; array_tmp1_g := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp1_g[term] := 0.; term := term + 1 end do; array_y1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_y1[term] := 0.; term := term + 1 end do; array_x := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1 end do; array_y2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_y2[term] := 0.; term := term + 1 end do; 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_1D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1D0[term] := 0.; term := term + 1 end do; array_const_1D0[1] := 1.0; 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_const_3 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_3[term] := 0.; term := term + 1 end do; array_const_3[1] := 3; 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; x_start := 0.1; x_end := 5.0; glob_h := 0.00001; array_y1_init[1] := exact_soln_y1(x_start); array_y2_init[1] := exact_soln_y2(x_start); array_y2_init[2] := exact_soln_y2p(x_start); array_y2_init[3] := exact_soln_y2pp(x_start); glob_max_iter := 20; glob_h := 0.001; 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_y2_set_initial[1, 1] := true; array_y2_set_initial[1, 2] := true; array_y2_set_initial[1, 3] := true; array_y2_set_initial[1, 4] := false; array_y2_set_initial[1, 5] := false; array_y2_set_initial[1, 6] := false; array_y2_set_initial[1, 7] := false; array_y2_set_initial[1, 8] := false; array_y2_set_initial[1, 9] := false; array_y2_set_initial[1, 10] := false; array_y2_set_initial[1, 11] := false; array_y2_set_initial[1, 12] := false; array_y2_set_initial[1, 13] := false; array_y2_set_initial[1, 14] := false; array_y2_set_initial[1, 15] := false; array_y2_set_initial[1, 16] := false; array_y2_set_initial[1, 17] := false; array_y2_set_initial[1, 18] := false; array_y2_set_initial[1, 19] := false; array_y2_set_initial[1, 20] := false; array_y2_set_initial[1, 21] := false; array_y2_set_initial[1, 22] := false; array_y2_set_initial[1, 23] := false; array_y2_set_initial[1, 24] := false; array_y2_set_initial[1, 25] := false; array_y2_set_initial[1, 26] := false; array_y2_set_initial[1, 27] := false; array_y2_set_initial[1, 28] := false; array_y2_set_initial[1, 29] := false; array_y2_set_initial[1, 30] := false; array_y1_set_initial[2, 1] := true; array_y1_set_initial[2, 2] := false; array_y1_set_initial[2, 3] := false; array_y1_set_initial[2, 4] := false; array_y1_set_initial[2, 5] := false; array_y1_set_initial[2, 6] := false; array_y1_set_initial[2, 7] := false; array_y1_set_initial[2, 8] := false; array_y1_set_initial[2, 9] := false; array_y1_set_initial[2, 10] := false; array_y1_set_initial[2, 11] := false; array_y1_set_initial[2, 12] := false; array_y1_set_initial[2, 13] := false; array_y1_set_initial[2, 14] := false; array_y1_set_initial[2, 15] := false; array_y1_set_initial[2, 16] := false; array_y1_set_initial[2, 17] := false; array_y1_set_initial[2, 18] := false; array_y1_set_initial[2, 19] := false; array_y1_set_initial[2, 20] := false; array_y1_set_initial[2, 21] := false; array_y1_set_initial[2, 22] := false; array_y1_set_initial[2, 23] := false; array_y1_set_initial[2, 24] := false; array_y1_set_initial[2, 25] := false; array_y1_set_initial[2, 26] := false; array_y1_set_initial[2, 27] := false; array_y1_set_initial[2, 28] := false; array_y1_set_initial[2, 29] := false; array_y1_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_x[1] := x_start; array_x[2] := glob_h; order_diff := 3; term_no := 1; while term_no <= order_diff do array_y2[term_no] := array_y2_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_y2_higher[r_order, term_no] := array_y2_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 := 1; term_no := 1; while term_no <= order_diff do array_y1[term_no] := array_y1_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_y1_higher[r_order, term_no] := array_y1_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_y2(); if glob_small_float < abs(array_y2_higher[1, 1]) then tmp := abs(array_y2_higher[1, 1]); log10norm := log10(tmp); if log10norm < glob_log10normmin then glob_log10normmin := log10norm end if end if; display_alot(current_iter); start_array_y1(); if glob_small_float < abs(array_y1_higher[1, 1]) then tmp := abs(array_y1_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_x[1] <= x_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 <= 4 do atomall(); subiter := subiter + 1 end do else subiter := 1; while subiter <= 4 + glob_max_terms do atomall(); subiter := subiter + 1 end do end if; if glob_look_poles then check_for_pole() end if; array_x[1] := array_x[1] + glob_h; array_x[2] := glob_h; order_diff := 3; ord := 4; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[4, iii] := array_y2_higher[4, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 4; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 3; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[3, iii] := array_y2_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 := 2; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 3; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[3, iii] := array_y2_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_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 2; calc_term := 3; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[2, iii] := array_y2_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 := 3; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_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_y2_higher_work[2, iii] := array_y2_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_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_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_y2_higher_work[2, iii] := array_y2_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_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 1; calc_term := 4; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[1, iii] := array_y2_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 := 4; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_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_y2_higher_work[1, iii] := array_y2_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_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_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_y2_higher_work[1, iii] := array_y2_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_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_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_y2_higher_work[1, iii] := array_y2_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_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_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_y2[term_no] := array_y2_higher_work2[1, term_no]; ord := 1; while ord <= order_diff do array_y2_higher[ord, term_no] := array_y2_higher_work2[ord, term_no]; ord := ord + 1 end do; term_no := term_no - 1 end do; order_diff := 1; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y1_higher_work[2, iii] := array_y1_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_y1_higher_work[ord, iii]; iii := iii - 1 end do; array_y1_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_y1_higher_work[1, iii] := array_y1_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_y1_higher_work[ord, iii]; iii := iii - 1 end do; array_y1_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_y1_higher_work[1, iii] := array_y1_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_y1_higher_work[ord, iii]; iii := iii - 1 end do; array_y1_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_y1[term_no] := array_y1_higher_work2[1, term_no]; ord := 1; while ord <= order_diff do array_y1_higher[ord, term_no] := array_y1_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 ( y2 , x , 3 ) = m1 * cos(x) ;"); omniout_str(INFO, "diff ( y1 , x , 1 ) = m1 * y2 + 1.0;"); omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "); prog_report(x_start, x_end); if glob_html_log then logstart(html_log_file); logitem_str(html_log_file, "2012-06-15T21:28:26-05:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "mtest4") ; logitem_str(html_log_file, "diff ( y2 , x , 3 ) = m1 * cos(x) ;"); logitem_float(html_log_file, x_start); logitem_float(html_log_file, x_end); logitem_float(html_log_file, array_x[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, "mtest4 diffeq.mxt"); logitem_str(html_log_file, "mtest4 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 ( y1 , x , 1 ) = m1 * y2 + 1.0;"); 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/mtest4postode.ode################# diff ( y2 , x , 3 ) = m1 * cos(x) ; diff ( y1 , x , 1 ) = m1 * y2 + 1.0; ! #BEGIN FIRST INPUT BLOCK Digits := 32; max_terms := 30; ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start := 0.1; x_end := 5.0; glob_h := 0.00001; array_y1_init[0 + 1] := exact_soln_y1(x_start); array_y2_init[0 + 1] := exact_soln_y2(x_start); array_y2_init[1 + 1] := exact_soln_y2p(x_start); array_y2_init[2 + 1] := exact_soln_y2pp(x_start); glob_max_iter := 20; #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK glob_h := 0.001 ; glob_look_poles := true; glob_max_iter := 1000; glob_max_minutes := 15; #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK exact_soln_y2 := proc(x) 1.0 + cos(x); end; exact_soln_y2p := proc(x) -sin(x); end; exact_soln_y2pp := proc(x) -cos(x); end; exact_soln_y1 := proc(x) 1.0 - sin(x); end; #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y2[1] (analytic) = 1.9950041652780257660955619878039 y2[1] (numeric) = 1.9950041652780257660955619878039 absolute error = 0 relative error = 0 % h = 0.001 y1[1] (analytic) = 0.90016658335317184769318580158938 y1[1] (numeric) = 0.90016658335317184769318580158938 absolute error = 0 relative error = 0 % h = 0.001 x[1] = 0.1 y2[1] (analytic) = 1.9950041652780257660955619878039 y2[1] (numeric) = 1.9950041652780257660955619878039 absolute error = 0 relative error = 0 % h = 0.001 y1[1] (analytic) = 0.90016658335317184769318580158938 y1[1] (numeric) = 0.90016658335317184769318580158938 absolute error = 0 relative error = 0 % h = 0.001 TOP MAIN SOLVE Loop memory used=3.8MB, alloc=3.1MB, time=0.22 NO POLE NO POLE x[1] = 0.101 y2[1] (analytic) = 1.994903834375976659378402999829 y2[1] (numeric) = 1.9949038341934664394012909185839 absolute error = 1.825102199771120812451e-10 relative error = 9.1488229573834506108571290687389e-09 % h = 0.001 y1[1] (analytic) = 0.89917162927043200487024788047681 y1[1] (numeric) = 0.89917162927047763051269622776999 absolute error = 4.562564244834729318e-14 relative error = 5.0741861690372650527904610993296e-12 % h = 0.001 TOP MAIN SOLVE Loop memory used=7.6MB, alloc=4.2MB, time=0.49 memory used=11.4MB, alloc=4.3MB, time=0.75 NO POLE NO POLE x[1] = 0.102 y2[1] (analytic) = 1.9948025085701760853346856764599 y2[1] (numeric) = 1.9948025071097961543053684133078 absolute error = 1.4603799310293172631521e-09 relative error = 7.3209248773006637627269282904849e-08 % h = 0.001 y1[1] (analytic) = 0.89817677601605448925135770391935 y1[1] (numeric) = 0.89817677601678461949076921734969 absolute error = 7.3013023941151343034e-13 relative error = 8.1290260326043288190470278235809e-11 % h = 0.001 TOP MAIN SOLVE Loop memory used=15.2MB, alloc=4.3MB, time=1.02 NO POLE NO POLE x[1] = 0.103 y2[1] (analytic) = 1.9947001879619498413211671928266 y2[1] (numeric) = 1.994700183032161739334729758572 absolute error = 4.9297881019864374342546e-09 relative error = 2.4714431430536749104740675040197e-07 % h = 0.001 y1[1] (analytic) = 0.89718202458489247230959578949541 y1[1] (numeric) = 0.89718202458858936061535958962337 absolute error = 3.69688830576380012796e-12 relative error = 4.1205554775512513471917282491335e-10 % h = 0.001 TOP MAIN SOLVE Loop memory used=19.0MB, alloc=4.3MB, time=1.29 memory used=22.8MB, alloc=4.3MB, time=1.57 NO POLE NO POLE x[1] = 0.104 y2[1] (analytic) = 1.9945968726536185270373744944846 y2[1] (numeric) = 1.9945968609658118462233238064179 absolute error = 1.16878066808140506880667e-08 relative error = 5.8597337843333488006791561297099e-07 % h = 0.001 y1[1] (analytic) = 0.89618737597169730231102924533054 y1[1] (numeric) = 0.89618737598338320221719191842414 absolute error = 1.168589990616267309360e-11 relative error = 1.3039572102309693950436998902713e-09 % h = 0.001 TOP MAIN SOLVE Loop memory used=26.7MB, alloc=4.3MB, time=1.84 NO POLE NO POLE x[1] = 0.105 y2[1] (analytic) = 1.9944925627484974422050131246041 y2[1] (numeric) = 1.9944925399160979446633783444402 absolute error = 2.28323994975416347801639e-08 relative error = 1.1447723558355913777363300708949e-06 % h = 0.001 y1[1] (analytic) = 0.89519283117111750956344639997322 y1[1] (numeric) = 0.89519283119965219264916935915673 absolute error = 2.853468308572295918351e-11 relative error = 3.1875459780428592250079423704652e-09 % h = 0.001 TOP MAIN SOLVE Loop memory used=30.5MB, alloc=4.3MB, time=2.11 memory used=34.3MB, alloc=4.3MB, time=2.38 NO POLE NO POLE x[1] = 0.106 y2[1] (analytic) = 1.9943872583508964832526761118722 y2[1] (numeric) = 1.9943872188884753169538475161843 absolute error = 3.94624211662988285956879e-08 relative error = 1.9786739511627852210245575409786e-06 % h = 0.001 y1[1] (analytic) = 0.89419839117769781176790938198128 y1[1] (numeric) = 0.89419839123687697697108253654392 absolute error = 5.917916520317315456264e-11 relative error = 6.6181247681771876135615985472376e-09 % h = 0.001 TOP MAIN SOLVE Loop memory used=38.1MB, alloc=4.3MB, time=2.65 NO POLE NO POLE x[1] = 0.107 y2[1] (analytic) = 1.9942809595661200390059562343918 y2[1] (numeric) = 1.9942808968885040525450466434685 absolute error = 6.26776159864609095909233e-08 relative error = 3.1428678936039776251881060448096e-06 % h = 0.001 y1[1] (analytic) = 0.89320405698587811947411929758354 y1[1] (numeric) = 0.89320405709553269263972180836863 absolute error = 1.0965457316560251078509e-10 relative error = 1.2276542219885616732044416743009e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=41.9MB, alloc=4.3MB, time=2.92 memory used=45.7MB, alloc=4.3MB, time=3.19 NO POLE NO POLE x[1] = 0.108 y2[1] (analytic) = 1.9941736665004668853830659694533 y2[1] (numeric) = 1.9941735729218500424784799060787 absolute error = 9.35786168429045860633746e-08 relative error = 4.6926011718489753206465608866796e-06 % h = 0.001 y1[1] (analytic) = 0.89220982958999254164058855096841 y1[1] (numeric) = 0.89220982977708886420449721509058 absolute error = 1.8709632256390866412217e-10 relative error = 2.0969991179080283387340604267290e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=49.5MB, alloc=4.3MB, time=3.46 NO POLE NO POLE x[1] = 0.109 y2[1] (analytic) = 1.9940653792612300790960704335539 y2[1] (numeric) = 1.9940652459942859737208664390916 absolute error = 1.332669441053752039944623e-07 relative error = 6.6831782694481419064370370223023e-06 % h = 0.001 y1[1] (analytic) = 0.89121570998426839130061474694456 y1[1] (numeric) = 0.89121571028400929700867141970888 absolute error = 2.9974090570805667276432e-10 relative error = 3.3632812163213287069236690518281e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=53.4MB, alloc=4.3MB, time=3.73 NO POLE NO POLE memory used=57.2MB, alloc=4.3MB, time=4.00 x[1] = 0.11 y2[1] (analytic) = 1.9939560979566968503578396114198 y2[1] (numeric) = 1.9939559151116923233913705138818 absolute error = 1.828450045269664690975380e-07 relative error = 9.1699614005712853566024566661120e-06 % h = 0.001 y1[1] (analytic) = 0.89022169916282519133505050991655 y1[1] (numeric) = 0.89022169961975196989631193662872 absolute error = 4.5692677856126142671217e-10 relative error = 5.1327301838515132541887056084713e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=61.0MB, alloc=4.3MB, time=4.28 NO POLE NO POLE x[1] = 0.111 y2[1] (analytic) = 1.993845822696148494594827167072 y2[1] (numeric) = 1.9938455792800583528810415756671 absolute error = 2.434160901417137855914049e-07 relative error = 1.2208370746167222774730999741113e-05 % h = 0.001 y1[1] (analytic) = 0.88922779811967368035286344632307 y1[1] (numeric) = 0.889227798788768926925069942571 absolute error = 6.6909524657220649624793e-10 relative error = 7.5244526541685846180823891012885e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=64.8MB, alloc=4.3MB, time=4.55 NO POLE NO POLE x[1] = 0.112 y2[1] (analytic) = 1.9937345535898602631657841241467 y2[1] (numeric) = 1.9937342375054831018634700182333 absolute error = 3.160843771613023141059134e-07 relative error = 1.5853884690525627267311496258209e-05 % h = 0.001 y1[1] (analytic) = 0.88823400784871481868048036989479 y1[1] (numeric) = 0.88823400879650616808489395673708 absolute error = 9.4779134940441358684229e-10 relative error = 1.0670514087835315721184990196243e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=68.6MB, alloc=4.3MB, time=4.82 memory used=72.4MB, alloc=4.3MB, time=5.09 NO POLE NO POLE x[1] = 0.113 y2[1] (analytic) = 1.9936222907491012530865166967484 y2[1] (numeric) = 1.9936218887941763821956646852667 absolute error = 4.019549248708908520114817e-07 relative error = 2.0162040058242765598662105752393e-05 % h = 0.001 y1[1] (analytic) = 0.8872403293437387944609098003048 y1[1] (numeric) = 0.88724033064940353902278767150582 absolute error = 1.30566474456187787120102e-09 relative error = 1.4716021143083444468883511482671e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=76.2MB, alloc=4.3MB, time=5.36 NO POLE NO POLE x[1] = 0.114 y2[1] (analytic) = 1.9935090342861342957607985460685 y2[1] (numeric) = 1.9935085321524597717081581974991 absolute error = 5.021336745240526403485694e-07 relative error = 2.5188432351592739098976883171706e-05 % h = 0.001 y1[1] (analytic) = 0.88624676359842402986363663600634 y1[1] (numeric) = 0.88624676535489461977372220889591 absolute error = 1.75647058991008557288957e-09 relative error = 1.9819204560796311158918393558900e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=80.1MB, alloc=4.3MB, time=5.63 memory used=83.9MB, alloc=4.3MB, time=5.91 NO POLE NO POLE x[1] = 0.115 y2[1] (analytic) = 1.9933947843142158447175487318465 y2[1] (numeric) = 1.9933941665867676078833463156425 absolute error = 6.177274482368342024162040e-07 relative error = 3.0988715988305844122567279277046e-05 % h = 0.001 y1[1] (analytic) = 0.8852533116063361874062827912803 y1[1] (numeric) = 0.88525331392140661249781407187201 absolute error = 2.31507042509153128059171e-09 relative error = 2.6151502566996567205721283023024e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=87.7MB, alloc=4.3MB, time=6.17 NO POLE NO POLE x[1] = 0.116 y2[1] (analytic) = 1.993279540947595862354387621489 y2[1] (numeric) = 1.9932787911036479814210676608578 absolute error = 7.498439478809333199606312e-07 relative error = 3.7618604539755672195704503518730e-05 % h = 0.001 y1[1] (analytic) = 0.88425997436092717638902747574917 y1[1] (numeric) = 0.88425997735836022822388105330731 absolute error = 2.99743305183485357755814e-09 relative error = 3.3897644796160313995016410227806e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=91.5MB, alloc=4.3MB, time=6.45 memory used=95.3MB, alloc=4.4MB, time=6.72 NO POLE NO POLE x[1] = 0.117 y2[1] (analytic) = 1.993163304301517705687684013279 y2[1] (numeric) = 1.9931624047097637296904302272597 absolute error = 8.995917539759972537860193e-07 relative error = 4.5133870969556573852644672943029e-05 % h = 0.001 y1[1] (analytic) = 0.88326675285553415944278068185407 y1[1] (numeric) = 0.88326675667616957259948935903721 absolute error = 3.82063541315670867718314e-09 relative error = 4.3255736738701929991821810321586e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=99.1MB, alloc=4.4MB, time=7.00 NO POLE NO POLE x[1] = 0.118 y2[1] (analytic) = 1.99304607449221801110920772362 y2[1] (numeric) = 1.9930450064118934300668912347145 absolute error = 1.0680803245810423164889055e-06 relative error = 5.3590347872573114034493740689458e-05 % h = 0.001 y1[1] (analytic) = 0.88227364808337855919210333203896 y1[1] (numeric) = 0.88227365288624203064760619494748 absolute error = 4.80286347145550286290852e-09 relative error = 5.4437344715996913987418014502441e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=102.9MB, alloc=4.4MB, time=7.27 memory used=106.8MB, alloc=4.4MB, time=7.55 NO POLE NO POLE x[1] = 0.119 y2[1] (analytic) = 1.9929278516369265781495028816522 y2[1] (numeric) = 1.9929265952169323931535969849339 absolute error = 1.2564199941849959058967183e-06 relative error = 6.3043927714343150818594604791545e-05 % h = 0.001 y1[1] (analytic) = 0.88128066103756506503386742263883 y1[1] (numeric) = 0.88128066700097815052997306143469 absolute error = 5.96341308549610563879586e-09 relative error = 6.7667581386333313959440751158943e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=110.6MB, alloc=4.4MB, time=7.82 NO POLE NO POLE x[1] = 0.12 y2[1] (analytic) = 1.9928086358538662522480981678576 y2[1] (numeric) = 1.9928071701318936558859894996074 absolute error = 1.4657219725963621086682502e-06 relative error = 7.3550563070916173156146755194178e-05 % h = 0.001 y1[1] (analytic) = 0.88028779271108064003264938572903 y1[1] (numeric) = 0.88028780003377152631731599185595 absolute error = 7.32269088628466660612692e-09 relative error = 8.3185191785205725817229582278112e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=114.4MB, alloc=4.4MB, time=8.09 memory used=118.2MB, alloc=4.4MB, time=8.37 NO POLE NO POLE x[1] = 0.121 y2[1] (analytic) = 1.9926884272622528065306712264356 y2[1] (numeric) = 1.9926867301639089745186868360493 absolute error = 1.6970983438320119843903863e-06 relative error = 8.5166266869108537222851444855799e-05 % h = 0.001 y1[1] (analytic) = 0.87929504409679352793384977345972 y1[1] (numeric) = 0.87929505299900867976650996474792 absolute error = 8.90221515183266019128820e-09 relative error = 1.0124263990338943570719884658547e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=122.0MB, alloc=4.4MB, time=8.64 NO POLE NO POLE x[1] = 0.122 y2[1] (analytic) = 1.992567225982294822593285474272 y2[1] (numeric) = 1.9925652743202298174936440935631 absolute error = 1.9516620650050996413807089e-06 relative error = 9.7947112627177244931564738880471e-05 % h = 0.001 y1[1] (analytic) = 0.87830241618745226029553225167281 y1[1] (numeric) = 0.87830242691206894110481571264086 absolute error = 1.072461668080928346096805e-08 relative error = 1.2210619580625604496766972714592e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=125.8MB, alloc=4.4MB, time=8.91 NO POLE NO POLE memory used=129.7MB, alloc=4.4MB, time=9.18 x[1] = 0.123 y2[1] (analytic) = 1.9924450321351935702938185222573 y2[1] (numeric) = 1.9924428016082283581886022424449 absolute error = 2.2305269652121052162798124e-06 relative error = 0.00011194923469591391211729047845673 % h = 0.001 y1[1] (analytic) = 0.8773099099756846637399747708799 y1[1] (numeric) = 0.87730992278932432882130814322096 absolute error = 1.281363966508133337234106e-08 relative error = 1.4605602329781585966890431183704e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=133.5MB, alloc=4.4MB, time=9.45 NO POLE NO POLE x[1] = 0.124 y2[1] (analytic) = 1.992321845843142886550702417515 y2[1] (numeric) = 1.9923193110353984675448320272597 absolute error = 2.5348077444190058703902553e-06 relative error = 0.00012722882850016057788340711862612 % h = 0.001 y1[1] (analytic) = 0.87631752645399686732592566296706 y1[1] (numeric) = 0.8763175416481394284656165814025 absolute error = 1.519414256113969091843544e-08 relative error = 1.7338626813299644838398569095937e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=137.3MB, alloc=4.4MB, time=9.72 NO POLE NO POLE x[1] = 0.125 y2[1] (analytic) = 1.9921976672293290531490969077882 y2[1] (numeric) = 1.9921948016093567065731803167291 absolute error = 2.8656199723465759165910591e-06 relative error = 0.0001438421507807490105938504288384 % h = 0.001 y1[1] (analytic) = 0.87532526661477231004255729128789 y1[1] (numeric) = 0.87532528450687127045409803355956 absolute error = 1.789209896041154074227167e-08 relative error = 2.0440514678169107385408029961746e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=141.1MB, alloc=4.4MB, time=10.00 memory used=144.9MB, alloc=4.4MB, time=10.28 NO POLE NO POLE x[1] = 0.126 y2[1] (analytic) = 1.9920724964179306735546179218037 y2[1] (numeric) = 1.9920692723378433187374263942675 absolute error = 3.2240800873548171915275362e-06 relative error = 0.0001618455198368651700091216376207 % h = 0.001 y1[1] (analytic) = 0.87433313145027074842610976010826 y1[1] (numeric) = 0.8743331523848692068835656677337 absolute error = 2.093459845845745590762544e-08 relative error = 2.3943503574813518799450506428590e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=148.7MB, alloc=4.4MB, time=10.54 NO POLE NO POLE x[1] = 0.127 y2[1] (analytic) = 1.9919463335341185487347444518721 y2[1] (numeric) = 1.9919427222287232222139558058926 absolute error = 3.6113053953265207886459795e-06 relative error = 0.00018129531576884048909451097993496 % h = 0.001 y1[1] (analytic) = 0.87334112195262726430021706667654 y1[1] (numeric) = 0.87334114630247478735269569607905 absolute error = 2.434984752305247862940251e-08 relative error = 2.7881256144919384670556855808051e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=152.5MB, alloc=4.4MB, time=10.82 memory used=156.4MB, alloc=4.4MB, time=11.09 NO POLE NO POLE x[1] = 0.128 y2[1] (analytic) = 1.9918191787040555519880280173089 y2[1] (numeric) = 1.9918151502899870020267595059188 absolute error = 4.0284140685499612685113901e-06 relative error = 0.00020224798072137164307687454596889 % h = 0.001 y1[1] (analytic) = 0.87234923911385127264090795551028 y1[1] (numeric) = 0.87234926728102163379123683812737 absolute error = 2.816717036115032888261709e-08 relative error = 3.2288869065516775268686123929550e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=160.2MB, alloc=4.4MB, time=11.37 NO POLE NO POLE x[1] = 0.129 y2[1] (analytic) = 1.9916910320548965027812298794554 y2[1] (numeric) = 1.991686555529751902056766165518 absolute error = 4.4765251446007244637139374e-06 relative error = 0.00022476001912717047739173118141771 % h = 0.001 y1[1] (analytic) = 0.87135748392582552956727360981603 y1[1] (numeric) = 0.87135751634283531429714753565341 absolute error = 3.241700978472987392583738e-08 relative error = 3.7202882149675067240095751196666e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=164.0MB, alloc=4.4MB, time=11.63 memory used=167.8MB, alloc=4.4MB, time=11.91 NO POLE NO POLE x[1] = 0.13 y2[1] (analytic) = 1.9915618937147880395945121711518 y2[1] (numeric) = 1.9915569369562628169245156348972 absolute error = 4.9567585252226699965362546e-06 relative error = 0.0002488879979510457702454113445178 % h = 0.001 y1[1] (analytic) = 0.87036585738030514045879418929169 y1[1] (numeric) = 0.87036589451123321598178708199262 absolute error = 3.713092807552299289270093e-08 relative error = 4.2661287504179619900084038170321e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=171.6MB, alloc=4.4MB, time=12.18 NO POLE NO POLE x[1] = 0.131 y2[1] (analytic) = 1.9914317638128684917748100954616 y2[1] (numeric) = 1.9914262935778932837451816765028 absolute error = 5.4702349752080296284189588e-06 relative error = 0.00027468854693441850961754543976923 % h = 0.001 y1[1] (analytic) = 0.86937436046891656820031609690237 y1[1] (numeric) = 0.86937440281052441682328782060967 absolute error = 4.234160784862297172370730e-08 relative error = 4.8703538744557724794642161087848e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=175.4MB, alloc=4.4MB, time=12.45 memory used=179.2MB, alloc=4.4MB, time=12.73 NO POLE NO POLE x[1] = 0.132 y2[1] (analytic) = 1.991300642479267750397513340263 y2[1] (numeric) = 1.9912946244031464737549522143109 absolute error = 6.0180761212766425611259521e-06 relative error = 0.00030221835884027236864738048589441 % h = 0.001 y1[1] (analytic) = 0.86838299418315664155567172956986 y1[1] (numeric) = 0.86838304226600955652823655953475 absolute error = 4.808285291497256482996489e-08 relative error = 5.5370560267824727772425950447837e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=183.1MB, alloc=4.4MB, time=13.00 NO POLE NO POLE x[1] = 0.133 y2[1] (analytic) = 1.9911685298451071381365858470171 y2[1] (numeric) = 1.9911619284406561838077754729064 absolute error = 6.6014044509543288103741107e-06 relative error = 0.00033153418969854106748331651015593 % h = 0.001 y1[1] (analytic) = 0.86739175951439156367093333907315 y1[1] (numeric) = 0.86739181390398070640179433997562 absolute error = 5.438958914273086100090247e-08 relative error = 6.2704756583323802609936126601075e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=186.9MB, alloc=4.4MB, time=13.28 memory used=190.7MB, alloc=4.4MB, time=13.55 NO POLE NO POLE x[1] = 0.134 y2[1] (analytic) = 1.9910354260424992781432540635797 y2[1] (numeric) = 1.9910282046991878277414805096873 absolute error = 7.2213433114504017735538924e-06 relative error = 0.00036269285905193431382871288060563 % h = 0.001 y1[1] (analytic) = 0.86640065745385592070829249982374 y1[1] (numeric) = 0.86640071875172123822638468897469 absolute error = 6.129786531751809218915095e-08 relative error = 7.0750021702035454423070657050853e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=194.5MB, alloc=4.4MB, time=13.82 NO POLE NO POLE x[1] = 0.135 y2[1] (analytic) = 1.9909013312045479619333948023605 y2[1] (numeric) = 1.9908934521876394276122807741562 absolute error = 7.8790169085343211140282043e-06 relative error = 0.00039575125020220401858848654329686 % h = 0.001 y1[1] (analytic) = 0.86540968899265169061155654955344 y1[1] (numeric) = 0.86540975783750569214908147741195 absolute error = 6.884485400153752492785851e-08 relative error = 7.9551748584735449834847890728841e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=198.3MB, alloc=4.4MB, time=14.10 NO POLE NO POLE x[1] = 0.136 y2[1] (analytic) = 1.990766245465348016283754816428 y2[1] (numeric) = 1.990757669915042604796669459878 absolute error = 8.5755503054114870853565500e-06 relative error = 0.00043076631045685248721036387982605 % h = 0.001 y1[1] (analytic) = 0.86441885512174725200425323733583 y1[1] (numeric) = 0.86441893219059964357782849595499 absolute error = 7.706885239157357525861916e-08 relative error = 8.9156838649382509311033298550191e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=202.1MB, alloc=4.4MB, time=14.37 memory used=205.9MB, alloc=4.4MB, time=14.64 NO POLE NO POLE x[1] = 0.137 y2[1] (analytic) = 1.9906301689599851691371351973316 y2[1] (numeric) = 1.9906208568905635709597155472915 absolute error = 9.3120694215981774196500401e-06 relative error = 0.00046779505137628429152191311768066 % h = 0.001 y1[1] (analytic) = 0.86342815683197639322133468075391 y1[1] (numeric) = 0.86342824284125956908662385272532 absolute error = 8.600928317586528917197141e-08 relative error = 9.9613711338119755382972898461626e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=209.8MB, alloc=4.4MB, time=14.92 NO POLE NO POLE x[1] = 0.138 y2[1] (analytic) = 1.9904931018245359145166746894438 y2[1] (numeric) = 1.9904830121235041188887695691605 absolute error = 1.00897010317956279051202833e-05 relative error = 0.00050689454902140353108973070499163 % h = 0.001 y1[1] (analytic) = 0.86243759511403732147547160042766 y1[1] (numeric) = 0.86243769082073271132980328748545 absolute error = 9.570669538985433168705779e-08 relative error = 1.1097231374427658881188362980596e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=213.6MB, alloc=4.4MB, time=15.19 memory used=217.4MB, alloc=4.4MB, time=15.46 NO POLE NO POLE x[1] = 0.139 y2[1] (analytic) = 1.9903550441960673764493670065295 y2[1] (numeric) = 1.9903441346233026131915882650424 absolute error = 1.09095727647632577787414871e-05 relative error = 0.00054812194420165819737044023343287 % h = 0.001 y1[1] (analytic) = 0.86144717095849167215892866552446 y1[1] (numeric) = 0.86144727716125694296555748805225 absolute error = 1.0620276527080662882252779e-07 relative error = 1.2328413029976036327433896601804e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=221.2MB, alloc=4.4MB, time=15.73 NO POLE NO POLE x[1] = 0.14 y2[1] (analytic) = 1.9902159962126371718989482270114 y2[1] (numeric) = 1.9902042233995349808578874267311 absolute error = 1.17728131021910410608002803e-05 relative error = 0.00059153444272353335818454326355892 % h = 0.001 y1[1] (analytic) = 0.86045688535576351828201164829463 y1[1] (numeric) = 0.86045700289606062958881948540778 absolute error = 1.1754029711130680783711315e-07 relative error = 1.3660219252322994802931021638812e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=225.0MB, alloc=4.4MB, time=16.00 memory used=228.8MB, alloc=4.4MB, time=16.28 NO POLE NO POLE x[1] = 0.141 y2[1] (analytic) = 1.9900759580132932727082913350357 y2[1] (numeric) = 1.9900632774619157016833323732044 absolute error = 1.26805513775710249589618313e-05 relative error = 0.00063718931563949488432369564836243 % h = 0.001 y1[1] (analytic) = 0.85946673929613838004907694910232 y1[1] (numeric) = 0.85946686905936249167365919460889 absolute error = 1.2976322411162458224550657e-07 relative error = 1.5098108882944600742892581192794e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=232.6MB, alloc=4.4MB, time=16.55 NO POLE NO POLE x[1] = 0.142 y2[1] (analytic) = 1.9899349297380738665514459649294 y2[1] (numeric) = 1.9899212958202987985549756311683 absolute error = 1.36339177750679964703337611e-05 relative error = 0.0006851438994973854443997276754098 % h = 0.001 y1[1] (analytic) = 0.85847673376976223457309391585971 y1[1] (numeric) = 0.8584768766863714655253231590895 absolute error = 1.4291660923095222924322979e-07 relative error = 1.6647697440019558622559370441384e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=236.5MB, alloc=4.4MB, time=16.82 memory used=240.3MB, alloc=4.4MB, time=17.10 NO POLE NO POLE x[1] = 0.143 y2[1] (analytic) = 1.9897929115280072168954623969991 y2[1] (numeric) = 1.9897782774846788275971515358424 absolute error = 1.46340433283892983108611567e-05 relative error = 0.00073545559659027449835974056701027 % h = 0.001 y1[1] (analytic) = 0.85748686976664052572975024321969 y1[1] (numeric) = 0.85748702681328656324205854630426 absolute error = 1.5704664603751230830308457e-07 relative error = 1.8314758111719137057627514441923e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=244.1MB, alloc=4.4MB, time=17.37 NO POLE NO POLE x[1] = 0.144 y2[1] (analytic) = 1.9896499035251115219721398428361 y2[1] (numeric) = 1.9896342214651918681768376061747 absolute error = 1.56820599196537953022366614e-05 relative error = 0.00078818187520676402442595303629949 % h = 0.001 y1[1] (analytic) = 0.85649714827663717415209059733904 y1[1] (numeric) = 0.85649732047729673168686143287783 absolute error = 1.7220065955753477083553879e-07 relative error = 2.0105222755734879662096754884341e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=247.9MB, alloc=4.4MB, time=17.64 memory used=251.7MB, alloc=4.4MB, time=17.92 NO POLE NO POLE x[1] = 0.145 y2[1] (analytic) = 1.989505905872394772759840048366 y2[1] (numeric) = 1.9894891267721165127674926892067 absolute error = 1.67791002782599923473591593e-05 relative error = 0.00084338026988175171857169861853622 % h = 0.001 y1[1] (analytic) = 0.85550757028947358736667847149108 y1[1] (numeric) = 0.85550775871658071046929040749991 absolute error = 1.8842710712310261193600883e-07 relative error = 2.2025182905084700168881935084860e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=255.5MB, alloc=4.4MB, time=18.19 NO POLE NO POLE x[1] = 0.146 y2[1] (analytic) = 1.9893609187138546099755082328197 y2[1] (numeric) = 1.9893429924158748566703820098333 absolute error = 1.79262979797533051262229864e-05 relative error = 0.00090110838164765341001614649909659 % h = 0.001 y1[1] (analytic) = 0.85451813679472767007227113628341 y1[1] (numeric) = 0.85451834257030688893748750974039 absolute error = 2.0577557921886521637345698e-07 relative error = 2.4080890780238245773524602586217e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=259.4MB, alloc=4.4MB, time=18.46 NO POLE NO POLE memory used=263.2MB, alloc=4.4MB, time=18.73 x[1] = 0.147 y2[1] (analytic) = 1.9892149421944781800770443715908 y2[1] (numeric) = 1.9891958174070334875923994047151 absolute error = 1.91247874446924846449668757e-05 relative error = 0.00096142387828608644060999400092609 % h = 0.001 y1[1] (analytic) = 0.85352884878183283456199740572324 y1[1] (numeric) = 0.85352907307863316218054951275192 absolute error = 2.2429680032761855210702868e-07 relative error = 2.6278760307602699271196212414669e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=267.0MB, alloc=4.4MB, time=19.00 NO POLE NO POLE x[1] = 0.148 y2[1] (analytic) = 1.9890679764602419902761688205978 y2[1] (numeric) = 1.9890476007563044750793971626028 absolute error = 2.03757039375151967716579950e-05 relative error = 0.0010243844945800157603926180622892 % h = 0.001 y1[1] (analytic) = 0.85253970724007701129002779687021 y1[1] (numeric) = 0.85253995128270678604139354747652 absolute error = 2.4404262977475136575060631e-07 relative error = 2.8625368144410479339555024743921e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=270.8MB, alloc=4.4MB, time=19.27 NO POLE NO POLE x[1] = 0.149 y2[1] (analytic) = 1.9889200216581117625619272692718 y2[1] (numeric) = 1.9888983414745463598040340378269 absolute error = 2.16801835654027578932314449e-05 relative error = 0.0010900480325663644960280347317544 % h = 0.001 y1[1] (analytic) = 0.85155071315860165958372651632402 y1[1] (numeric) = 0.8515509782246642311402620554786 absolute error = 2.6506606257155653553915458e-07 relative error = 3.1127454710050589292717966245559e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=274.6MB, alloc=4.4MB, time=19.54 memory used=278.4MB, alloc=4.4MB, time=19.83 NO POLE NO POLE x[1] = 0.15 y2[1] (analytic) = 1.9887710779360422867349809986543 y2[1] (numeric) = 1.9887480385727651427071521491866 absolute error = 2.30393632771440278288494677e-05 relative error = 0.0011584723617890907532725608107102 % h = 0.001 y1[1] (analytic) = 0.85056186752640077850227456131236 y1[1] (numeric) = 0.85056215494763103590901304688717 absolute error = 2.8742123025740673848557481e-07 relative error = 3.3791925223885657812606148879556e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=282.2MB, alloc=4.4MB, time=20.10 NO POLE NO POLE x[1] = 0.151 y2[1] (analytic) = 1.9886211454429772724528294103012 y2[1] (numeric) = 1.9885966910621152739916936229441 absolute error = 2.44543808619984611357873571e-05 relative error = 0.0012297154195527324190913596740271 % h = 0.001 y1[1] (analytic) = 0.8495731713323199178427530766738 y1[1] (numeric) = 0.84957348249572165863634262914485 absolute error = 3.1116340174079358955247105e-07 relative error = 3.6625850749597010571347350443183e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=286.1MB, alloc=4.4MB, time=20.37 memory used=289.9MB, alloc=4.4MB, time=20.65 NO POLE NO POLE x[1] = 0.152 y2[1] (analytic) = 1.9884702243288492002861127807586 y2[1] (numeric) = 1.988444297953900641968167986089 absolute error = 2.59263749485583179447946696e-05 relative error = 0.0013038352111764217335241453915517 % h = 0.001 y1[1] (analytic) = 0.84858462556505518929467596156972 y1[1] (numeric) = 0.84858496191403932852408776132876 absolute error = 3.3634898413922941179975904e-07 relative error = 3.9636469246100409310559963322127e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=293.7MB, alloc=4.4MB, time=20.92 NO POLE NO POLE x[1] = 0.153 y2[1] (analytic) = 1.9883183147445791717861441852958 y2[1] (numeric) = 1.9882908582595755617506814644894 absolute error = 2.74564850036100354627208064e-05 relative error = 0.0013808898102483714059022756954962 % h = 0.001 y1[1] (analytic) = 0.84759623121315227774396057131025 y1[1] (numeric) = 0.8475965942486758957547581777281 absolute error = 3.6303552361801079760641785e-07 relative error = 4.2831186625075394858652108869178e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=297.5MB, alloc=4.4MB, time=21.19 memory used=301.3MB, alloc=4.4MB, time=21.47 NO POLE NO POLE x[1] = 0.154 y2[1] (analytic) = 1.9881654168420767585638205233501 y2[1] (numeric) = 1.9881363709907457638025394899808 absolute error = 2.90458513309947612810333693e-05 relative error = 0.0014609373588808340545403467649649 % h = 0.001 y1[1] (analytic) = 0.84660798926500545272732521024132 y1[1] (numeric) = 0.84660838054671168057044741313408 absolute error = 3.9128170622784312220289276e-07 relative error = 4.6217577815151472764361875175223e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=305.1MB, alloc=4.4MB, time=21.74 NO POLE NO POLE x[1] = 0.155 y2[1] (analytic) = 1.9880115307742398503800635667605 y2[1] (numeric) = 1.9879808351591693823304338708747 absolute error = 3.06956150704680496296958858e-05 relative error = 0.001544036067965536753565272201189 % h = 0.001 y1[1] (analytic) = 0.84561990070885658003810196121268 y1[1] (numeric) = 0.84562032185621532136327385091849 absolute error = 4.2114735874132517188970581e-07 relative error = 4.9803387832794684722420229460094e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=308.9MB, alloc=4.4MB, time=22.01 memory used=312.8MB, alloc=4.4MB, time=22.29 NO POLE NO POLE x[1] = 0.156 y2[1] (analytic) = 1.9878566566949545022479429403361 y2[1] (numeric) = 1.9878242497767579435262262317805 absolute error = 3.24069181965587217167085556e-05 relative error = 0.001630244217429592475104747118479 % h = 0.001 y1[1] (analytic) = 0.84463196653279413348445324573189 y1[1] (numeric) = 0.84463241922624362177750370344733 absolute error = 4.5269344948829305045771544e-07 relative error = 5.3596532859938415784383930154015e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=316.6MB, alloc=4.4MB, time=22.56 NO POLE NO POLE x[1] = 0.157 y2[1] (analytic) = 1.9877007947590947805466339326243 y2[1] (numeric) = 1.9876666138555773536553394810406 absolute error = 3.41809035174268912944515837e-05 relative error = 0.0017196201564918902196350275559526 % h = 0.001 y1[1] (analytic) = 0.84364418772475220680098035650535 y1[1] (numeric) = 0.84364467370684139682350882269367 absolute error = 4.8598208919002252846618832e-07 relative error = 5.7605101328402596503477081540569e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=320.4MB, alloc=4.4MB, time=22.83 memory used=324.2MB, alloc=4.4MB, time=23.11 NO POLE NO POLE x[1] = 0.158 y2[1] (analytic) = 1.9875439451225226081473640229073 y2[1] (numeric) = 1.987507926407848886990769217469 absolute error = 3.60187146737211565948054383e-05 relative error = 0.0018122223039199656318851579648485 % h = 0.001 y1[1] (analytic) = 0.84265656527250952571471205067536 y1[1] (numeric) = 0.84265708634904131800371322707918 absolute error = 5.2107653179228900117640382e-07 relative error = 6.1837355011145770675982065741068e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=328.0MB, alloc=4.4MB, time=23.38 NO POLE NO POLE x[1] = 0.159 y2[1] (analytic) = 1.9873861079420876085515029984672 y2[1] (numeric) = 1.9873481864459501735917271424647 absolute error = 3.79214961374349597758560025e-05 relative error = 0.0019081091482873539043112178689266 % h = 0.001 y1[1] (analytic) = 0.84166910016368846016646113768246 y1[1] (numeric) = 0.84166965820486375745068321858483 absolute error = 5.5804117529728422208090237e-07 relative error = 6.6301730120394813232790100056876e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=331.8MB, alloc=4.4MB, time=23.66 NO POLE NO POLE memory used=335.6MB, alloc=4.4MB, time=23.94 x[1] = 0.16 y2[1] (analytic) = 1.9872272833756269490409525240183 y2[1] (numeric) = 1.9871873929824161869259286989385 absolute error = 3.98903932107621150238250798e-05 relative error = 0.0020073392482314267747898959808578 % h = 0.001 y1[1] (analytic) = 0.84068179338575403668853684031401 y1[1] (numeric) = 0.8406823903273166310775169520277 absolute error = 5.9694156259438898011171369e-07 relative error = 7.1006838412697399122788768996589e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=339.5MB, alloc=4.4MB, time=24.25 NO POLE NO POLE x[1] = 0.161 y2[1] (analytic) = 1.9870674715819651828409920129024 y2[1] (numeric) = 1.9870255450299402313345373148481 absolute error = 4.19265520249515064546980543e-05 relative error = 0.0021099712327117154298357987926516 % h = 0.001 y1[1] (analytic) = 0.83969464592601295093980055114447 y1[1] (numeric) = 0.83969528377039524074069030610128 absolute error = 6.3784438228980088975495681e-07 relative error = 7.5961468300942642734633215203530e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=343.3MB, alloc=4.4MB, time=24.56 NO POLE NO POLE x[1] = 0.162 y2[1] (analytic) = 1.9869066727209140902957386371875 y2[1] (numeric) = 1.9868626416013749293387777864796 absolute error = 4.40311195391609569608507079e-05 relative error = 0.0022160638012687211293214249990116 % h = 0.001 y1[1] (analytic) = 0.83870765877161258039905244922922 y1[1] (numeric) = 0.83870833958908211541551689332016 absolute error = 6.8081746953501646444409094e-07 relative error = 8.1174585973395648545100739878412e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=347.1MB, alloc=4.4MB, time=24.84 memory used=350.9MB, alloc=4.4MB, time=25.11 NO POLE NO POLE x[1] = 0.163 y2[1] (analytic) = 1.9867448869532725190563803011996 y2[1] (numeric) = 1.9866986817097332087872314949437 absolute error = 4.62052435393102691488062559e-05 relative error = 0.0023256757242832153733727507396628 % h = 0.001 y1[1] (analytic) = 0.83772083290953999721773628358307 y1[1] (numeric) = 0.83772155883934685138438103339595 absolute error = 7.2592980685416664474981288e-07 relative error = 8.6655336519792037280824881103726e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=354.7MB, alloc=4.4MB, time=25.39 NO POLE NO POLE x[1] = 0.164 y2[1] (analytic) = 1.9865821144408262232823413902376 y2[1] (numeric) = 1.9865336643681892898428263086747 absolute error = 4.84500726369334395150815629e-05 relative error = 0.0024388658432360314368269368609709 % h = 0.001 y1[1] (analytic) = 0.8367341693266209812329494706565 y1[1] (numeric) = 0.83673494257814595143790350179805 absolute error = 7.7325152497020495403114155e-07 relative error = 9.2413045064538837956084116250121e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=358.5MB, alloc=4.4MB, time=25.65 memory used=362.4MB, alloc=4.4MB, time=25.94 NO POLE NO POLE x[1] = 0.165 y2[1] (analytic) = 1.9864183553463477018555420932949 y2[1] (numeric) = 1.9863675885900796718085341850236 absolute error = 5.07667562680300470079082713e-05 relative error = 0.0025556930709683491013718540549928 % h = 0.001 y1[1] (analytic) = 0.83574766900951903314174549271711 y1[1] (numeric) = 0.83574849186342266308920085232024 absolute error = 8.2285390362994745535960313e-07 relative error = 9.8457217907068464723003457742518e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=366.2MB, alloc=4.4MB, time=26.21 NO POLE NO POLE x[1] = 0.166 y2[1] (analytic) = 1.9862536098335960356079130855139 y2[1] (numeric) = 1.9862004533889041197907896453303 absolute error = 5.31564446919158171234401836e-05 relative error = 0.0026762163919424744202399879797376 % h = 0.001 y1[1] (analytic) = 0.83476133294473438783771542275181 y1[1] (numeric) = 0.83476220775410681580140009938015 absolute error = 8.7480937242796368467662834e-07 relative error = 0.00010479754366939282856271875186385 % h = 0.001 TOP MAIN SOLVE Loop memory used=370.0MB, alloc=4.4MB, time=26.48 memory used=373.8MB, alloc=4.4MB, time=26.75 NO POLE NO POLE x[1] = 0.167 y2[1] (analytic) = 1.9860878780673167235623283428443 y2[1] (numeric) = 1.9860322577783266511996424601391 absolute error = 5.56202889900723626858827052e-05 relative error = 0.0028004948625031163551019002365169 % h = 0.001 y1[1] (analytic) = 0.83377516211860302791083523922592 y1[1] (numeric) = 0.83377609131011465722857153252346 absolute error = 9.2919151162931773629329754e-07 relative error = 0.00011144389445090496747764344616607 % h = 0.001 TOP MAIN SOLVE Loop memory used=377.6MB, alloc=4.4MB, time=27.02 NO POLE NO POLE x[1] = 0.168 y2[1] (analytic) = 1.985921160213241518187119847961 y2[1] (numeric) = 1.9858630007721765220846580444865 absolute error = 5.81594410649961024618034745e-05 relative error = 0.0029285876111391621295968476108587 % h = 0.001 y1[1] (analytic) = 0.83278915751729569731156543076966 y1[1] (numeric) = 0.83279014359234868847024342218634 absolute error = 9.8607505299115867799141668e-07 relative error = 0.00011840632699047591503704244181767 % h = 0.001 TOP MAIN SOLVE Loop memory used=381.4MB, alloc=4.4MB, time=27.30 memory used=385.2MB, alloc=4.4MB, time=27.57 NO POLE NO POLE x[1] = 0.169 y2[1] (analytic) = 1.9857534564380882596643389329105 y2[1] (numeric) = 1.9856926813844492133055792274431 absolute error = 6.07750536390463587597054674e-05 relative error = 0.0030605538387459531487504661859799 % h = 0.001 y1[1] (analytic) = 0.83180332012681691518018922661023 y1[1] (numeric) = 0.83180436566269749833966336218768 absolute error = 1.04553588058315947413557745e-06 relative error = 0.00012569508383589486590192293521608 % h = 0.001 TOP MAIN SOLVE Loop memory used=389.1MB, alloc=4.4MB, time=27.85 NO POLE NO POLE x[1] = 0.17 y2[1] (analytic) = 1.9855847669095607091719299902125 y2[1] (numeric) = 1.9855212986293074165367632253302 absolute error = 6.34682802532926351667648823e-05 relative error = 0.0031964528188880633383616756890734 % h = 0.001 y1[1] (analytic) = 0.83081765093300398984237562332915 y1[1] (numeric) = 0.83081875858403559664597198067599 absolute error = 1.10765103160680359635734684e-06 relative error = 0.00013332059452070103833225383842962 % h = 0.001 TOP MAIN SOLVE Loop memory used=392.9MB, alloc=4.4MB, time=28.12 NO POLE NO POLE memory used=396.7MB, alloc=4.4MB, time=28.39 x[1] = 0.171 y2[1] (analytic) = 1.9854150917963483811799832702289 y2[1] (numeric) = 1.9853488515210820201044078142565 absolute error = 6.62402752663610755754559724e-05 relative error = 0.0033363438980625817632932181287322 % h = 0.001 y1[1] (analytic) = 0.8298321509215260329719532122995 y1[1] (numeric) = 0.82983332342022324649045573734332 absolute error = 1.17249869721351850252504382e-06 relative error = 0.00014129347674845597768137187039328 % h = 0.001 TOP MAIN SOLVE Loop memory used=400.5MB, alloc=4.4MB, time=28.67 NO POLE NO POLE x[1] = 0.172 y2[1] (analytic) = 1.9852444312681263747612344685321 y2[1] (numeric) = 1.9851753390742730946555808648301 absolute error = 6.90921938532801056536037020e-05 relative error = 0.0034802864959629013884725803676593 % h = 0.001 y1[1] (analytic) = 0.82884682107788297392188064494727 y1[1] (numeric) = 0.82884806123610629557704651063946 absolute error = 1.24015822332165516586569219e-06 relative error = 0.00014962453758450539153096629318519 % h = 0.001 TOP MAIN SOLVE Loop memory used=404.3MB, alloc=4.4MB, time=28.94 NO POLE NO POLE x[1] = 0.173 y2[1] (analytic) = 1.9850727854955552039159797927608 y2[1] (numeric) = 1.9850007603035508786580675700996 absolute error = 7.20251920043252579122226612e-05 relative error = 0.0036283401057430158513025295522609 % h = 0.001 y1[1] (analytic) = 0.82786166238740457422439940478408 y1[1] (numeric) = 0.8278629730975160065372366644728 absolute error = 1.31071011143231283725968872e-06 relative error = 0.00015832477465527995643729442133588 % h = 0.001 TOP MAIN SOLVE Loop memory used=408.1MB, alloc=4.4MB, time=29.21 memory used=411.9MB, alloc=4.4MB, time=29.49 NO POLE NO POLE x[1] = 0.174 y2[1] (analytic) = 1.9849001546502806269115761840325 y2[1] (numeric) = 1.984825114223756763730049866958 absolute error = 7.50404265238631815263170745e-05 relative error = 0.0037805642942823261190931802545815 % h = 0.001 y1[1] (analytic) = 0.82687667583524944226135438597639 y1[1] (numeric) = 0.82687806007126888626957926946858 absolute error = 1.38423601944400822488349219e-06 relative error = 0.00016740537735518488826750310215236 % h = 0.001 TOP MAIN SOLVE Loop memory used=415.8MB, alloc=4.4MB, time=29.78 NO POLE NO POLE x[1] = 0.175 y2[1] (analytic) = 1.9847265389049334746366973533995 y2[1] (numeric) = 1.9846483998499042797986327214128 absolute error = 7.81390550291948380646319867e-05 relative error = 0.0039370187024509589100604804432523 % h = 0.001 y1[1] (analytic) = 0.82589186240640404810566760804859 y1[1] (numeric) = 0.8258933232251665142939441392701 absolute error = 1.46081876246618827653122151e-06 relative error = 0.00017687772806112842282655416463487 % h = 0.001 TOP MAIN SOLVE Loop memory used=419.6MB, alloc=4.4MB, time=30.07 memory used=423.4MB, alloc=4.4MB, time=30.34 NO POLE NO POLE x[1] = 0.176 y2[1] (analytic) = 1.9845519384331294779705172790773 y2[1] (numeric) = 1.9844706161971800800862321192778 absolute error = 8.13222359493978842851597995e-05 relative error = 0.0040977630453755987613893175663595 % h = 0.001 y1[1] (analytic) = 0.82490722308568173853495022516409 y1[1] (numeric) = 0.82490876362799537012070132761264 absolute error = 1.54054231363158575110244855e-06 relative error = 0.00018675340335473971093291293784061 % h = 0.001 TOP MAIN SOLVE Loop memory used=427.2MB, alloc=4.4MB, time=30.63 NO POLE NO POLE x[1] = 0.177 y2[1] (analytic) = 1.9843763534094690941669937952475 y2[1] (numeric) = 1.9842917622809449259238397759814 absolute error = 8.45911285241682431540192661e-05 relative error = 0.0042628571127058356328331743212737 % h = 0.001 y1[1] (analytic) = 0.82392275885772175221823781629032 y1[1] (numeric) = 0.82392438234952665963500471697206 absolute error = 1.62349180490741676690068174e-06 relative error = 0.0001970441752523269923177006521679 % h = 0.001 TOP MAIN SOLVE Loop memory used=431.0MB, alloc=4.4MB, time=30.89 memory used=434.8MB, alloc=4.4MB, time=31.17 NO POLE NO POLE x[1] = 0.178 y2[1] (analytic) = 1.9841997840095373322544258881378 y2[1] (numeric) = 1.9841118371167346713901797523072 absolute error = 8.79468928026608642461358306e-05 relative error = 0.0044323607688810299393164746377158 % h = 0.001 y1[1] (analytic) = 0.82293847070698823507683376943031 y1[1] (numeric) = 0.82294018046051614049634931449014 absolute error = 1.70975352790541951554505983e-06 relative error = 0.00020776201244262727572048217409878 % h = 0.001 TOP MAIN SOLVE Loop memory used=438.6MB, alloc=4.4MB, time=31.44 NO POLE NO POLE x[1] = 0.179 y2[1] (analytic) = 1.9840222304099035774504592998064 y2[1] (numeric) = 1.9839308397202612477757723369942 absolute error = 9.13906896423296746869628122e-05 relative error = 0.0046063339533976969110205221769561 % h = 0.001 y1[1] (analytic) = 0.82195435961776925582024539899536 y1[1] (numeric) = 0.82195615903270394655357685560478 absolute error = 1.79941493469073333145660942e-06 relative error = 0.0002189190815323991183585159512607 % h = 0.001 TOP MAIN SOLVE Loop memory used=442.5MB, alloc=4.4MB, time=31.72 memory used=446.3MB, alloc=4.4MB, time=31.99 NO POLE NO POLE x[1] = 0.18 y2[1] (analytic) = 1.9838436927881214145927160246115 y2[1] (numeric) = 1.9837487691074136478709207322133 absolute error = 9.49236807077667217952923982e-05 relative error = 0.0047848366810774121844693161993791 % h = 0.001 y1[1] (analytic) = 0.82097042657417582165819726030079 y1[1] (numeric) = 0.82097231913881441127550530036479 absolute error = 1.89256463858961730804006400e-06 relative error = 0.00023052774829991046657859904599222 % h = 0.001 TOP MAIN SOLVE Loop memory used=450.1MB, alloc=4.4MB, time=32.27 NO POLE NO POLE x[1] = 0.181 y2[1] (analytic) = 1.9836641713227284505852242677207 y2[1] (numeric) = 1.9835656242942589100766362540165 absolute error = 9.85470284695405085880137042e-05 relative error = 0.0049679290423352405331876013535449 % h = 0.001 y1[1] (analytic) = 0.81998667256014089418970594908918 y1[1] (numeric) = 0.81998866185255589019735879178511 absolute error = 1.98929241499600765284269593e-06 relative error = 0.00024260057895637389098527440653907 % h = 0.001 TOP MAIN SOLVE Loop memory used=453.9MB, alloc=4.4MB, time=32.54 memory used=457.7MB, alloc=4.4MB, time=32.81 NO POLE NO POLE x[1] = 0.182 y2[1] (analytic) = 1.983483666193246135860826419216 y2[1] (numeric) = 1.9833814042970431023375179369145 absolute error = 0.0001022618962030335233084823015 relative error = 0.0051556712034486896515803393680671 % h = 0.001 y1[1] (analytic) = 0.81900309855941840547020049692454 y1[1] (numeric) = 0.81900518824862058238317562979767 absolute error = 2.08968920217691297513287313e-06 relative error = 0.00025515034141538192370002133673727 % h = 0.001 TOP MAIN SOLVE Loop memory used=461.5MB, alloc=4.4MB, time=33.08 NO POLE NO POLE x[1] = 0.183 y2[1] (analytic) = 1.9833021775801795848597435813723 y2[1] (numeric) = 1.9831961081321923058956026097864 absolute error = 0.0001060694479872789641409715859 relative error = 0.0053481234068271909107804511002098 % h = 0.001 y1[1] (analytic) = 0.81801970555558227425767229525488 y1[1] (numeric) = 0.81802189940268435090437279837506 absolute error = 2.19384710207664670050312018e-06 relative error = 0.00026819000657039558266723118185126 % h = 0.001 TOP MAIN SOLVE Loop memory used=465.3MB, alloc=4.4MB, time=33.36 NO POLE NO POLE memory used=469.2MB, alloc=4.4MB, time=33.63 x[1] = 0.184 y2[1] (analytic) = 1.9831197056650173955244761705281 y2[1] (numeric) = 1.9830097348163135988642016893521 absolute error = 0.000109970848703796660274481176 relative error = 0.0055453459712821090103302376477434 % h = 0.001 y1[1] (analytic) = 0.81703649453202542243883830191132 y1[1] (numeric) = 0.81703879639140654233464656724751 absolute error = 2.30185938111989580826533619e-06 relative error = 0.00028173274958033954810860385704581 % h = 0.001 TOP MAIN SOLVE Loop memory used=473.0MB, alloc=4.4MB, time=33.91 NO POLE NO POLE x[1] = 0.185 y2[1] (analytic) = 1.9829362506302314678112210986348 y2[1] (numeric) = 1.9828222833661960396207411174537 absolute error = 0.0001139672640354281904799811811 relative error = 0.0057473992922972824547014198869328 % h = 0.001 y1[1] (analytic) = 0.81605346647195879163630110379855 y1[1] (numeric) = 0.81605588029242980526138967329754 absolute error = 2.41382047101362508856949899e-06 relative error = 0.00029579195116335783936263282118585 % h = 0.001 TOP MAIN SOLVE Loop memory used=476.8MB, alloc=4.4MB, time=34.18 NO POLE NO POLE x[1] = 0.186 y2[1] (analytic) = 1.9827518126592768212179870230509 y2[1] (numeric) = 1.9826337527988116500176210493869 absolute error = 0.000118059860465171200365973664 relative error = 0.0059543438423000967888193076444761 % h = 0.001 y1[1] (analytic) = 0.81507062235841035999768922853466 y1[1] (numeric) = 0.81507315218437990781380657019998 absolute error = 2.52982596954781611734166532e-06 relative error = 0.00031038119889878422645484441696856 % h = 0.001 TOP MAIN SOLVE Loop memory used=480.6MB, alloc=4.4MB, time=34.45 memory used=484.4MB, alloc=4.4MB, time=34.73 NO POLE NO POLE x[1] = 0.187 y2[1] (analytic) = 1.9825663919365914113295901364508 y2[1] (numeric) = 1.9824441421313163984101120825055 absolute error = 0.0001222498052750129194780539453 relative error = 0.0061662401709330925319382942518529 % h = 0.001 y1[1] (analytic) = 0.81408796317422415916776091581804 y1[1] (numeric) = 0.81409061314686555420790921817688 absolute error = 2.64997264139504014830235884e-06 relative error = 0.00032551428853738199985241470749652 % h = 0.001 TOP MAIN SOLVE Loop memory used=488.2MB, alloc=4.4MB, time=35.00 NO POLE NO POLE x[1] = 0.188 y2[1] (analytic) = 1.9823799886475959453797139518383 y2[1] (numeric) = 1.9822534503810511825003049972844 absolute error = 0.0001265382665447628794089545539 relative error = 0.0063831489053261097544187411936282 % h = 0.001 y1[1] (analytic) = 0.81310548990205929144445437633573 y1[1] (numeric) = 0.81310826426047820030857686885629 absolute error = 2.77435841890886412249252056e-06 relative error = 0.00034120522531990811398892221583312 % h = 0.001 TOP MAIN SOLVE Loop memory used=492.1MB, alloc=4.4MB, time=35.27 memory used=495.9MB, alloc=4.4MB, time=35.55 NO POLE NO POLE x[1] = 0.189 y2[1] (analytic) = 1.9821926029786936968302175205875 y2[1] (numeric) = 1.9820616765655428119961311669729 absolute error = 0.0001309264131508848340863536146 relative error = 0.0066051307503689712471794425311111 % h = 0.001 y1[1] (analytic) = 0.81212320352438894711986738208099 y1[1] (numeric) = 0.81212610660679186820886428315966 absolute error = 2.90308240292108899690107867e-06 relative error = 0.00035746822530405711532675642703144 % h = 0.001 TOP MAIN SOLVE Loop memory used=499.7MB, alloc=4.4MB, time=35.82 NO POLE NO POLE x[1] = 0.19 y2[1] (analytic) = 1.9820042351172703189678775041899 y2[1] (numeric) = 1.9818688197025049910844709769 absolute error = 0.0001354154147653278834065272899 relative error = 0.0068322464889847062388453127157245 % h = 0.001 y1[1] (analytic) = 0.81114110502349942200714884701869 y1[1] (numeric) = 0.8111441412683629598267438028943 absolute error = 3.03624486353781959495587561e-06 relative error = 0.00037431771669984066398176876736047 % h = 0.001 TOP MAIN SOLVE Loop memory used=503.5MB, alloc=4.4MB, time=36.11 memory used=507.3MB, alloc=4.4MB, time=36.41 NO POLE NO POLE x[1] = 0.191 y2[1] (analytic) = 1.9818148852516936575187505029481 y2[1] (numeric) = 1.9816748788098393007173677804057 absolute error = 0.0001400064418543568013827225424 relative error = 0.0070645569824033166208767961408441 % h = 0.001 y1[1] (analytic) = 0.81015919538148913515428487112495 y1[1] (numeric) = 0.81016236932873006951946767929321 absolute error = 3.17394724093436518280816826e-06 relative error = 0.00039176834121345885929303762006337 % h = 0.001 TOP MAIN SOLVE Loop memory used=511.1MB, alloc=4.4MB, time=36.69 NO POLE NO POLE x[1] = 0.192 y2[1] (analytic) = 1.9816245535713135622803430272392 y2[1] (numeric) = 1.9814798529056361807103651052653 absolute error = 0.0001447006656773815699779219739 relative error = 0.0073021231704360876462558262158351 % h = 0.001 y1[1] (analytic) = 0.80917747558026764674576153393323 y1[1] (numeric) = 0.8091807918724137957157380441244 absolute error = 3.31629214614896997651019117e-06 relative error = 0.00040983495539971998420627003699914 % h = 0.001 TOP MAIN SOLVE Loop memory used=514.9MB, alloc=4.4MB, time=36.96 memory used=518.8MB, alloc=4.4MB, time=37.23 NO POLE NO POLE x[1] = 0.193 y2[1] (analytic) = 1.9814332402664616977717774791618 y2[1] (numeric) = 1.9812837410081759116519850123521 absolute error = 0.0001494992582857861197924668097 relative error = 0.0075450060717504450726130383525464 % h = 0.001 y1[1] (analytic) = 0.80819594660155467619308653584224 y1[1] (numeric) = 0.80819940998491655156587289118395 absolute error = 3.46338336187537278635534171e-06 relative error = 0.00042853263202306569097876640836783 % h = 0.001 TOP MAIN SOLVE Loop memory used=522.6MB, alloc=4.4MB, time=37.51 NO POLE NO POLE x[1] = 0.194 y2[1] (analytic) = 1.9812409455284513529021434943852 y2[1] (numeric) = 1.9810865421359295966233656971412 absolute error = 0.000154403392521756278777797244 relative error = 0.0077932667841453607260124393555202 % h = 0.001 y1[1] (analytic) = 0.8072146094268791204151515965821 y1[1] (numeric) = 0.80721822475272237461015741799114 absolute error = 3.61532584325419500582140904e-06 relative error = 0.00044787666142725906153365703114659 % h = 0.001 TOP MAIN SOLVE Loop memory used=526.4MB, alloc=4.4MB, time=37.78 NO POLE NO POLE memory used=530.2MB, alloc=4.4MB, time=38.06 x[1] = 0.195 y2[1] (analytic) = 1.9810476695495772496572249758333 y2[1] (numeric) = 1.9808882553075601427270766144995 absolute error = 0.0001594142420171069301483613338 relative error = 0.008046966484827308466962928795193 % h = 0.001 y1[1] (analytic) = 0.80623346503757807230941733039465 y1[1] (numeric) = 0.80623723726329673546557105931839 absolute error = 3.77222571866315615372892374e-06 relative error = 0.00046788255291379338981815033656966 % h = 0.001 TOP MAIN SOLVE Loop memory used=534.0MB, alloc=4.4MB, time=38.33 NO POLE NO POLE x[1] = 0.196 y2[1] (analytic) = 1.9808534125231153508047941324606 y2[1] (numeric) = 1.9806888795419232424241295980278 absolute error = 0.0001645329811921083806645344328 relative error = 0.0083061664306867725456010308312403 % h = 0.001 y1[1] (analytic) = 0.80525251441479583941490212666118 y1[1] (numeric) = 0.80525644860508634553108152581306 absolute error = 3.93419029050611617939915188e-06 relative error = 0.00048856603612907995078192586693738 % h = 0.001 TOP MAIN SOLVE Loop memory used=537.8MB, alloc=4.4MB, time=38.61 NO POLE NO POLE x[1] = 0.197 y2[1] (analytic) = 1.980658174643322666618664817809 y2[1] (numeric) = 1.980488413858068354678204637026 absolute error = 0.000169760785254311940460180783 relative error = 0.0085709279585753103383860018378851 % h = 0.001 y1[1] (analytic) = 0.80427175853948296276795637290694 y1[1] (numeric) = 0.80427585986751896371169814240102 absolute error = 4.10132803600094374176949408e-06 relative error = 0.00050994306246047344111492245563692 % h = 0.001 TOP MAIN SOLVE Loop memory used=541.6MB, alloc=4.4MB, time=38.88 memory used=545.5MB, alloc=4.4MB, time=39.16 NO POLE NO POLE x[1] = 0.198 y2[1] (analytic) = 1.9804619561054370606216984442784 y2[1] (numeric) = 1.9802868572752396859061091669375 absolute error = 0.0001750988301973747155892773409 relative error = 0.0088413124855831714640672056856651 % h = 0.001 y1[1] (analytic) = 0.80329119839239523595180316432647 y1[1] (numeric) = 0.80329547214100320216147776240257 absolute error = 4.27374860796620967459807610e-06 relative error = 0.00053202980644119420069622503774832 % h = 0.001 TOP MAIN SOLVE Loop memory used=549.3MB, alloc=4.4MB, time=39.44 NO POLE NO POLE x[1] = 0.199 y2[1] (analytic) = 1.9802647571056770543479567300861 y2[1] (numeric) = 1.980084208812877170733489922895 absolute error = 0.0001805482927998836144668071911 relative error = 0.0091173815093174752821243692489437 % h = 0.001 y1[1] (analytic) = 0.8023108349540927243408264502072 y1[1] (numeric) = 0.8023152865169283310456775143386 absolute error = 4.45156283560670485106413140e-06 relative error = 0.00055484266716420675083540590593992 % h = 0.001 TOP MAIN SOLVE Loop memory used=553.1MB, alloc=4.4MB, time=39.71 memory used=556.9MB, alloc=4.4MB, time=39.99 NO POLE NO POLE x[1] = 0.2 y2[1] (analytic) = 1.9800665778412416311241965167482 y2[1] (numeric) = 1.9798804674906174525548166007378 absolute error = 0.0001861103506241785693799160104 relative error = 0.0093991966081809487823441222927353 % h = 0.001 y1[1] (analytic) = 0.80133066920493878454058737288161 y1[1] (numeric) = 0.80133530408766408232224961925798 absolute error = 4.63488272529778166224637637e-06 relative error = 0.00057839826970511461586264659482954 % h = 0.001 TOP MAIN SOLVE Loop memory used=560.7MB, alloc=4.4MB, time=40.26 NO POLE NO POLE x[1] = 0.201 y2[1] (analytic) = 1.979867418510310038870902875571 y2[1] (numeric) = 1.9796756323282948638966567655983 absolute error = 0.0001917861820151749742461099727 relative error = 0.0096868194416512268796811635754754 % h = 0.001 y1[1] (analytic) = 0.80035070212509908402454935910971 y1[1] (numeric) = 0.800355525946560452542874497075 absolute error = 4.82382146136851832513796529e-06 relative error = 0.0006027134665541318284726309536143 % h = 0.001 TOP MAIN SOLVE Loop memory used=564.5MB, alloc=4.4MB, time=40.53 memory used=568.3MB, alloc=4.4MB, time=40.81 NO POLE NO POLE x[1] = 0.202 y2[1] (analytic) = 1.9796672793120415919230577021024 y2[1] (numeric) = 1.9794697023459424065832616448649 absolute error = 0.0001975769660991853397960572375 relative error = 0.0099803117505607171340595556727636 % h = 0.001 y1[1] (analytic) = 0.79937093469454062096849232708521 y1[1] (numeric) = 0.7993759531879475046737293608673 absolute error = 5.01849340688370523703378209e-06 relative error = 0.00062780533905719195647819393731997 % h = 0.001 TOP MAIN SOLVE Loop memory used=572.2MB, alloc=4.4MB, time=41.09 NO POLE NO POLE x[1] = 0.203 y2[1] (analytic) = 1.9794661604465754718708419777594 y2[1] (numeric) = 1.9792626765637927317034826400171 absolute error = 0.0002034838827827401673593377423 relative error = 0.010279735357377030920299111479998 % h = 0.001 y1[1] (analytic) = 0.79839136789303074428359617456935 y1[1] (numeric) = 0.79839658690713516893619047834927 absolute error = 5.21901410442465259430377992e-06 relative error = 0.00065369119886625592931193252695082 % h = 0.001 TOP MAIN SOLVE Loop memory used=576.0MB, alloc=4.4MB, time=41.37 memory used=579.8MB, alloc=4.4MB, time=41.67 NO POLE NO POLE x[1] = 0.204 y2[1] (analytic) = 1.979264062115030527420470857911 y2[1] (numeric) = 1.9790545540022791193780385904976 absolute error = 0.0002095081127514080424322674134 relative error = 0.010585152166483983078903672337185 % h = 0.001 y1[1] (analytic) = 0.79741200270013617384917351498742 y1[1] (numeric) = 0.7974174282004130426676682598019 absolute error = 5.42550027686881849474481448e-06 relative error = 0.00068038858939888038675659786910794 % h = 0.001 TOP MAIN SOLVE Loop memory used=583.6MB, alloc=4.4MB, time=41.97 NO POLE NO POLE x[1] = 0.205 y2[1] (analytic) = 1.9790609845195050732753617255673 y2[1] (numeric) = 1.9788453336820364583261540224363 absolute error = 0.000215650837468614949207703131 relative error = 0.010896624164463162084022369288921 % h = 0.001 y1[1] (analytic) = 0.79643284009522202094603142867336 y1[1] (numeric) = 0.79643847816505018920277531160751 absolute error = 5.63806982816825674388293415e-06 relative error = 0.00070791528730710872001752219520413 % h = 0.001 TOP MAIN SOLVE Loop memory used=587.4MB, alloc=4.4MB, time=42.27 memory used=591.2MB, alloc=4.4MB, time=42.57 NO POLE NO POLE x[1] = 0.206 y2[1] (analytic) = 1.9788569278630766880378363294873 y2[1] (numeric) = 1.9786350146239022252305888156691 absolute error = 0.0002219132391744628072475138182 relative error = 0.011214213420376072770491782271676 % h = 0.001 y1[1] (analytic) = 0.79545388105745080889144179581925 y1[1] (numeric) = 0.79545973789929493577502857420438 absolute error = 5.85684184412688358677838513e-06 relative error = 0.00073628930395574742640229090509454 % h = 0.001 TOP MAIN SOLVE Loop memory used=595.0MB, alloc=4.4MB, time=42.87 NO POLE NO POLE x[1] = 0.207 y2[1] (analytic) = 1.9786518923498020111315591049884 y2[1] (numeric) = 1.9784235958489174639000799241038 absolute error = 0.0002282965008845472314791808846 relative error = 0.011537982086046853667486346006677 % h = 0.001 y1[1] (analytic) = 0.79447512656578149387669957607767 y1[1] (numeric) = 0.7944812085023746704392876427424 absolute error = 6.08193659317656258806666473e-06 relative error = 0.00076552888691009085357432356223294 % h = 0.001 TOP MAIN SOLVE Loop memory used=598.9MB, alloc=4.4MB, time=43.54 NO POLE NO POLE memory used=602.7MB, alloc=4.4MB, time=44.25 x[1] = 0.208 y2[1] (analytic) = 1.9784458781847165387449147550011 y2[1] (numeric) = 1.978211076378327764228215987073 absolute error = 0.0002348018063887745166987679281 relative error = 0.011867992396345570991946473875924 % h = 0.001 y1[1] (analytic) = 0.79349657759896848600824819717701 y1[1] (numeric) = 0.79350289107449563801513234798445 absolute error = 6.31347552715200688415080744e-06 relative error = 0.00079565252143315786762822661419819 % h = 0.001 TOP MAIN SOLVE Loop memory used=606.5MB, alloc=4.4MB, time=44.96 NO POLE NO POLE x[1] = 0.209 y2[1] (analytic) = 1.9782388855738344187955291479752 y2[1] (numeric) = 1.9779974552335842409477658728807 absolute error = 0.0002414303402501778477632750945 relative error = 0.01220430666947209136061876159635 % h = 0.001 y1[1] (analytic) = 0.79251823513556067055335101134286 y1[1] (numeric) = 0.79252478671684273505138365405896 absolute error = 6.55158128206449803264271610e-06 relative error = 0.00082667893199250444112625326521233 % h = 0.001 TOP MAIN SOLVE Loop memory used=610.3MB, alloc=4.4MB, time=45.68 NO POLE NO POLE x[1] = 0.21 y2[1] (analytic) = 1.9780309147241482449161385680994 y2[1] (numeric) = 1.9777827314363445121794824002953 absolute error = 0.0002481832878037327366561678041 relative error = 0.012546987307240535285230369919266 % h = 0.001 y1[1] (analytic) = 0.79154010015390042939128757377236 y1[1] (numeric) = 0.79154689653157930381197290852561 absolute error = 6.79637767887442068533475325e-06 relative error = 0.00085862708377667662276776090582847 % h = 0.001 TOP MAIN SOLVE Loop memory used=614.1MB, alloc=4.4MB, time=46.38 memory used=617.9MB, alloc=4.4MB, time=47.23 NO POLE NO POLE x[1] = 0.211 y2[1] (analytic) = 1.9778219658436288494620133319462 y2[1] (numeric) = 1.9775669040084736777744026892683 absolute error = 0.0002550618351551716876106426779 relative error = 0.012896096795364313521030349558814 % h = 0.001 y1[1] (analytic) = 0.79056217363212266267105329188374 y1[1] (numeric) = 0.79056922162184692528336545886781 absolute error = 7.04798972426261231216698407e-06 relative error = 0.0008915161842213688195682864797293 % h = 0.001 TOP MAIN SOLVE Loop memory used=621.8MB, alloc=4.4MB, time=47.95 NO POLE NO POLE x[1] = 0.212 y2[1] (analytic) = 1.977612039141225095540142764105 y2[1] (numeric) = 1.9773499719720452974486667986576 absolute error = 0.0002620671691797980914759654474 relative error = 0.013251697703741748344664342856873 % h = 0.001 y1[1] (analytic) = 0.78958445654815381067654078755991 y1[1] (numeric) = 0.78959176309176521120374562797108 absolute error = 7.30654361140052720484041117e-06 relative error = 0.00092536568454535279533314449574316 % h = 0.001 TOP MAIN SOLVE Loop memory used=625.6MB, alloc=4.4MB, time=48.61 memory used=629.4MB, alloc=4.4MB, time=49.29 NO POLE NO POLE x[1] = 0.213 y2[1] (analytic) = 1.9774011348268636680603895025966 y2[1] (numeric) = 1.9771319343493423687098765162206 absolute error = 0.000269200477521299350512986376 relative error = 0.013613852686742281843105853944728 % h = 0.001 y1[1] (analytic) = 0.7886069498797108759001811071231 y1[1] (numeric) = 0.78861452204643159511417101938498 absolute error = 7.57216672071921398991226188e-06 relative error = 0.00096019528129624326585395995415091 % h = 0.001 TOP MAIN SOLVE Loop memory used=633.2MB, alloc=4.4MB, time=49.94 NO POLE NO POLE x[1] = 0.214 y2[1] (analytic) = 1.9771892531114488638088220829006 y2[1] (numeric) = 1.976912790162858304574016374598 absolute error = 0.0002764629485905592348057083026 relative error = 0.013982624483493273301147205468491 % h = 0.001 y1[1] (analytic) = 0.78762965460430044532602270531804 y1[1] (numeric) = 0.78763749959192112243190510119695 absolute error = 7.84498762067710588239587891e-06 relative error = 0.0009960249179061664516672404232681 % h = 0.001 TOP MAIN SOLVE Loop memory used=637.0MB, alloc=4.4MB, time=50.58 memory used=640.8MB, alloc=4.4MB, time=51.24 NO POLE NO POLE x[1] = 0.215 y2[1] (analytic) = 1.9769763942068623805434357272442 y2[1] (numeric) = 1.9766925384352979110719591764499 absolute error = 0.0002838557715644694714765507943 relative error = 0.014358075918167387780756474185232 % h = 0.001 y1[1] (analytic) = 0.78665257169921771292322592014294 y1[1] (numeric) = 0.78666069683528623954613799516791 absolute error = 8.12513606852662291207502497e-06 relative error = 0.0010328747862573984334242245124167 % h = 0.001 TOP MAIN SOLVE Loop memory used=644.6MB, alloc=4.4MB, time=51.88 NO POLE NO POLE x[1] = 0.216 y2[1] (analytic) = 1.9767625583259631051124722434151 y2[1] (numeric) = 1.9764711781895783645445785223193 absolute error = 0.0002913801363847405678937210958 relative error = 0.014740269900270577991433202982359 % h = 0.001 y1[1] (analytic) = 0.78567570214154550235095044495269 y1[1] (numeric) = 0.78568411488455658193630637539127 absolute error = 8.41274301107958535593043858e-06 relative error = 0.0010707653282580406429633726171454 % h = 0.001 TOP MAIN SOLVE Loop memory used=648.5MB, alloc=4.4MB, time=52.53 memory used=652.3MB, alloc=4.4MB, time=53.19 NO POLE NO POLE x[1] = 0.217 y2[1] (analytic) = 1.9765477456825869005955509147589 y2[1] (numeric) = 1.9762487084488301887254910461929 absolute error = 0.000299037233756711870059868566 relative error = 0.015129269424930661556545603894591 % h = 0.001 y1[1] (analytic) = 0.78469904690815328987561309286506 y1[1] (numeric) = 0.78470775484873876131322435813787 absolute error = 8.70794058547143761126527281e-06 relative error = 0.001109717237427800315083846275444 % h = 0.001 TOP MAIN SOLVE Loop memory used=656.1MB, alloc=4.4MB, time=53.84 NO POLE NO POLE x[1] = 0.218 y2[1] (analytic) = 1.976331956491546392467823240215 y2[1] (numeric) = 1.9760251282363982316104512760972 absolute error = 0.0003068282551481608573719641178 relative error = 0.015525137573186495786505378790094 % h = 0.001 y1[1] (analytic) = 0.78372260697569622750149293613085 y1[1] (numeric) = 0.7837316178378161517832382417381 absolute error = 9.01086211992428174530560725e-06 relative error = 0.001149751460493944220823314565269 % h = 0.001 TOP MAIN SOLVE Loop memory used=659.9MB, alloc=4.4MB, time=54.51 NO POLE NO POLE memory used=663.7MB, alloc=4.4MB, time=55.16 x[1] = 0.219 y2[1] (analytic) = 1.9761151909686307537873653602166 y2[1] (numeric) = 1.9758004365758426421124222504175 absolute error = 0.0003147543927881116749431097991 relative error = 0.015927937512277752075533272893402 % h = 0.001 y1[1] (analytic) = 0.78274638332061416631566068978145 y1[1] (numeric) = 0.78275570496274867503561893232871 absolute error = 9.32164213450871995824254726e-06 relative error = 0.0011908891989974945027798973347575 % h = 0.001 TOP MAIN SOLVE Loop memory used=667.5MB, alloc=4.4MB, time=55.81 NO POLE NO POLE x[1] = 0.22 y2[1] (analytic) = 1.9758974493306054894060229810447 y2[1] (numeric) = 1.97557463249093984650134523495 absolute error = 0.0003228168396656429046777460947 relative error = 0.016337732495935292044689125401921 % h = 0.001 y1[1] (analytic) = 0.78177037691913068004820899454299 y1[1] (numeric) = 0.78178001733547258455340686805402 absolute error = 9.64041634190450519787351103e-06 relative error = 0.0012331519109097359367197831491105 % h = 0.001 TOP MAIN SOLVE Loop memory used=671.3MB, alloc=4.4MB, time=56.46 NO POLE NO POLE x[1] = 0.221 y2[1] (analytic) = 1.9756787317952122192039245867742 y2[1] (numeric) = 1.9753477150056835246276321009987 absolute error = 0.0003310167895286945762924857755 relative error = 0.016754585864672147559784573791852 % h = 0.001 y1[1] (analytic) = 0.78079458874725208884876003870549 y1[1] (numeric) = 0.78080455606890024884792523085853 absolute error = 9.96732164815999916519215304e-06 relative error = 0.0012765613122591044514131356618323 % h = 0.001 TOP MAIN SOLVE Loop memory used=675.2MB, alloc=4.4MB, time=57.11 memory used=679.0MB, alloc=4.4MB, time=57.77 NO POLE NO POLE x[1] = 0.222 y2[1] (analytic) = 1.9754590385811684603478797042797 y2[1] (numeric) = 1.9751196831442855859284041411063 absolute error = 0.0003393554368828744194755631734 relative error = 0.017178561046075106758764787794103 % h = 0.001 y1[1] (analytic) = 0.77981901978076648328022674235797 y1[1] (numeric) = 0.77982932227691993371717821133971 absolute error = 1.030249615345043695146898174e-05 relative error = 0.0013211393787685272503757332665431 % h = 0.001 TOP MAIN SOLVE Loop memory used=682.8MB, alloc=4.4MB, time=58.42 NO POLE NO POLE x[1] = 0.223 y2[1] (analytic) = 1.975238369908167408573879962885 y2[1] (numeric) = 1.9748905359311771452155013162613 absolute error = 0.0003478339769902633583786466237 relative error = 0.017609721555096908229137739923214 % h = 0.001 y1[1] (analytic) = 0.778843670995242748530803510147 y1[1] (numeric) = 0.77885431707439558352835206824458 absolute error = 1.064607915283499754855809758e-05 relative error = 0.0013669083475032853949971003982748 % h = 0.001 TOP MAIN SOLVE Loop memory used=686.6MB, alloc=4.4MB, time=59.08 memory used=690.4MB, alloc=4.4MB, time=59.75 NO POLE NO POLE x[1] = 0.224 y2[1] (analytic) = 1.9750167259968777184939216661375 y2[1] (numeric) = 1.9746602723910094982442861466537 absolute error = 0.0003564536058682202496355194838 relative error = 0.018048130994349045482045646014964 % h = 0.001 y1[1] (analytic) = 0.77786854336602958884516234048672 y1[1] (numeric) = 0.77787954157716660152463770009073 absolute error = 1.099821113701267947535960401e-05 relative error = 0.0014138907185294702284427347752511 % h = 0.001 TOP MAIN SOLVE Loop memory used=694.2MB, alloc=4.4MB, time=60.42 NO POLE NO POLE x[1] = 0.225 y2[1] (analytic) = 1.9747941070689432829273695688655 y2[1] (numeric) = 1.9744288915486550970622666772566 absolute error = 0.0003652155202881858651028916089 relative error = 0.018493853054395183875613416469905 % h = 0.001 y1[1] (analytic) = 0.7768936378682545521758298599428 y1[1] (numeric) = 0.77690499690204762915659442207098 absolute error = 1.135903379307698076456212818e-05 relative error = 0.0014621092565831055437637893763887 % h = 0.001 TOP MAIN SOLVE Loop memory used=698.0MB, alloc=4.4MB, time=61.06 memory used=701.9MB, alloc=4.4MB, time=61.72 NO POLE NO POLE x[1] = 0.226 y2[1] (analytic) = 1.9745705133469830112570825281373 y2[1] (numeric) = 1.9741963924292085251365631696916 absolute error = 0.0003741209177744861205193584457 relative error = 0.018946951514045192146273332307828 % h = 0.001 y1[1] (analytic) = 0.77591895547682305505572063133211 y1[1] (numeric) = 0.77593068416682832443827561685942 absolute error = 1.172869000526938255498552731e-05 relative error = 0.0015115869927500079278679363078717 % h = 0.001 TOP MAIN SOLVE Loop memory used=705.7MB, alloc=4.4MB, time=62.36 NO POLE NO POLE x[1] = 0.227 y2[1] (analytic) = 1.9743459450545906068105226719777 y2[1] (numeric) = 1.9739627740579874722592433929936 absolute error = 0.0003831709966031345512792789841 relative error = 0.019407490240649790712853784930269 % h = 0.001 y1[1] (analytic) = 0.77494449716641740769280186292349 y1[1] (numeric) = 0.7749566044902731393283379031748 absolute error = 1.210732385573163553604025131e-05 relative error = 0.0015623472261564582454361601908068 % h = 0.001 TOP MAIN SOLVE Loop memory used=709.5MB, alloc=4.4MB, time=63.02 memory used=713.3MB, alloc=4.4MB, time=63.68 NO POLE NO POLE x[1] = 0.228 y2[1] (analytic) = 1.9741204024163343432660707047136 y2[1] (numeric) = 1.9737280354605337092295516080195 absolute error = 0.0003923669558006340365190966941 relative error = 0.019875533190395818924332881245236 % h = 0.001 y1[1] (analytic) = 0.7739702639114958392878644239937 y1[1] (numeric) = 0.77398275899212109613635644097349 absolute error = 1.249508062525684849201697979e-05 relative error = 0.0016144135256707577635482752053666 % h = 0.001 TOP MAIN SOLVE Loop memory used=717.1MB, alloc=4.4MB, time=64.33 NO POLE NO POLE x[1] = 0.229 y2[1] (analytic) = 1.9738938856577568400847709426156 y2[1] (numeric) = 1.9734921756626140623120565633544 absolute error = 0.0004017099951427777727143792612 relative error = 0.020351144408602123428295102551418 % h = 0.001 y1[1] (analytic) = 0.77299625668629152357637484888623 y1[1] (numeric) = 0.7730091487930855629545699669381 absolute error = 1.289210679403937819511805187e-05 relative error = 0.0016678097316157429587417459872375 % h = 0.001 TOP MAIN SOLVE Loop memory used=720.9MB, alloc=4.4MB, time=64.97 memory used=724.8MB, alloc=4.4MB, time=65.64 NO POLE NO POLE x[1] = 0.23 y2[1] (analytic) = 1.9736663950053748369677306480716 y2[1] (numeric) = 1.9732551936902213874697440446479 absolute error = 0.0004112013151534494979866034237 relative error = 0.020834388030016069843291103452549 % h = 0.001 y1[1] (analytic) = 0.77202247646481160459538278763993 y1[1] (numeric) = 0.77203577501485402811528012849802 absolute error = 1.329855004242351989734085809e-05 relative error = 0.0017225599574923335935109742379163 % h = 0.001 TOP MAIN SOLVE Loop memory used=728.6MB, alloc=4.4MB, time=66.30 NO POLE NO POLE x[1] = 0.231 y2[1] (analytic) = 1.9734379306866789673393992048733 y2[1] (numeric) = 1.9730170885695755443710797443686 absolute error = 0.0004208421171034229683194605047 relative error = 0.021325328279110679924487233119713 % h = 0.001 y1[1] (analytic) = 0.77104892422083622267645813619863 y1[1] (numeric) = 0.77106263878008787367413065896369 absolute error = 1.371455925165099767252276506e-05 relative error = 0.0017786885917141891988949926735052 % h = 0.001 TOP MAIN SOLVE Loop memory used=732.4MB, alloc=4.4MB, time=66.95 NO POLE NO POLE x[1] = 0.232 y2[1] (analytic) = 1.9732084929301335308569536513194 y2[1] (numeric) = 1.9727778593271243701700684449965 absolute error = 0.0004306336030091606868852063229 relative error = 0.021824029470382396418202543250828 % h = 0.001 y1[1] (analytic) = 0.77007560092791754066563185318355 y1[1] (numeric) = 0.77008974121242214791949291047661 absolute error = 1.414028450460725386105729306e-05 relative error = 0.001836220299353549653838237700598 % h = 0.001 TOP MAIN SOLVE Loop memory used=736.2MB, alloc=4.4MB, time=67.60 memory used=740.0MB, alloc=4.4MB, time=68.25 NO POLE NO POLE x[1] = 0.233 y2[1] (analytic) = 1.9729780819651762649460180617296 y2[1] (numeric) = 1.9725375049895446530583357356737 absolute error = 0.0004405769756316118876823260559 relative error = 0.022330556008649477807167002988048 % h = 0.001 y1[1] (analytic) = 0.76910250755937877037131424320659 y1[1] (numeric) = 0.76911708343646533690818523537062 absolute error = 1.457587708656653687099216403e-05 relative error = 0.0018951800238983361104798572814419 % h = 0.001 TOP MAIN SOLVE Loop memory used=743.8MB, alloc=4.4MB, time=68.92 NO POLE NO POLE x[1] = 0.234 y2[1] (analytic) = 1.972746698022218115362945240631 y2[1] (numeric) = 1.9722960245837431055882587103142 absolute error = 0.0004506734384750097746865303168 relative error = 0.022844972389351025154595459283179 % h = 0.001 y1[1] (analytic) = 0.7681296450883131992411642587249 y1[1] (numeric) = 0.76814466657779913502775468020593 absolute error = 1.502148948593578659042148103e-05 relative error = 0.0019555929890205890774703128026511 % h = 0.001 TOP MAIN SOLVE Loop memory used=747.6MB, alloc=4.4MB, time=69.56 memory used=751.5MB, alloc=4.4MB, time=70.22 NO POLE NO POLE x[1] = 0.235 y2[1] (analytic) = 1.9725143413326430057838901673172 y2[1] (numeric) = 1.9720534171368573377661723241218 absolute error = 0.0004609241957856680177178431954 relative error = 0.023367343198846643261457650928908 % h = 0.001 y1[1] (analytic) = 0.7671570144875832172688831434866 y1[1] (numeric) = 0.76717249176297821458555043017518 absolute error = 1.547727539499731666728668858e-05 relative error = 0.0020174847003563210408686756404218 % h = 0.001 TOP MAIN SOLVE Loop memory used=755.3MB, alloc=4.4MB, time=70.86 NO POLE NO POLE x[1] = 0.236 y2[1] (analytic) = 1.9722810121288076064209056016861 y2[1] (numeric) = 1.9718096816762568299146783153925 absolute error = 0.0004713304525507765062272862936 relative error = 0.023897733114716738357635394194243 % h = 0.001 y1[1] (analytic) = 0.76618461672981934413190551069257 y1[1] (numeric) = 0.76620056011952999442481941478886 absolute error = 1.594338971065029291390409629e-05 relative error = 0.0020808809472968615741791869619451 % h = 0.001 TOP MAIN SOLVE Loop memory used=759.1MB, alloc=4.4MB, time=71.51 memory used=762.9MB, alloc=4.4MB, time=72.19 NO POLE NO POLE x[1] = 0.237 y2[1] (analytic) = 1.9720467106440411016652912352422 y2[1] (numeric) = 1.9715648172295439053030838303717 absolute error = 0.0004818934144971963622074048705 relative error = 0.024436206906063454553993998410927 % h = 0.001 y1[1] (analytic) = 0.76521245278741925656096071810253 y1[1] (numeric) = 0.76522887277595440756805545872518 absolute error = 1.641998853515100709474062265e-05 relative error = 0.002145807804791773465680896787925 % h = 0.001 TOP MAIN SOLVE Loop memory used=766.7MB, alloc=4.4MB, time=72.84 NO POLE NO POLE x[1] = 0.238 y2[1] (analytic) = 1.9718114371126449567584287438953 y2[1] (numeric) = 1.9713188228245547025449971208103 absolute error = 0.000492614288090254213431623085 relative error = 0.024982829433812251288756129978204 % h = 0.001 y1[1] (analytic) = 0.76424052363254681594247717044265 y1[1] (numeric) = 0.76425743086172366788783433447586 absolute error = 1.690722917685194535716403321e-05 relative error = 0.0022122916351634189724294510943859 % h = 0.001 TOP MAIN SOLVE Loop memory used=770.5MB, alloc=4.4MB, time=73.48 memory used=774.3MB, alloc=4.4MB, time=74.14 NO POLE NO POLE x[1] = 0.239 y2[1] (analytic) = 1.9715751917698926834903360717 y2[1] (numeric) = 1.971071697489360147762107916704 absolute error = 0.000503494280532535728228154996 relative error = 0.025537665651014124007952814283975 % h = 0.001 y1[1] (analytic) = 0.76326883023713109615480194662958 y1[1] (numeric) = 0.76328623550728203580536804593346 absolute error = 1.740527015093965056609930388e-05 relative error = 0.00228035908993325589620565381184 % h = 0.001 TOP MAIN SOLVE Loop memory used=778.2MB, alloc=4.4MB, time=74.78 NO POLE NO POLE x[1] = 0.24 y2[1] (analytic) = 1.9713379748520296049261752469634 y2[1] (numeric) = 1.9708234402522669265131803105168 absolute error = 0.0005145345997626784129949364466 relative error = 0.02610078060314847032613813759657 % h = 0.001 y1[1] (analytic) = 0.76229737357286541163920791551018 y1[1] (numeric) = 0.76231528784404558301701264434626 absolute error = 1.791427118017137780472883608e-05 relative error = 0.0023500371116599437672919734776492 % h = 0.001 TOP MAIN SOLVE Loop memory used=782.0MB, alloc=4.4MB, time=75.43 memory used=785.8MB, alloc=4.4MB, time=76.08 NO POLE NO POLE x[1] = 0.241 y2[1] (analytic) = 1.9710997865962726191609490041922 y2[1] (numeric) = 1.9705740501418184554872862239765 absolute error = 0.0005257364544541636736627802157 relative error = 0.026672239428426603919991576228485 % h = 0.001 y1[1] (analytic) = 0.76132615461120634570666026902879 y1[1] (numeric) = 0.76134458900440195624896485011342 absolute error = 1.843439319561054230458108463e-05 relative error = 0.0024213529357893410173167540134562 % h = 0.001 TOP MAIN SOLVE Loop memory used=789.6MB, alloc=4.4MB, time=76.72 NO POLE NO POLE x[1] = 0.242 y2[1] (analytic) = 1.9708606272408099621026224571645 y2[1] (numeric) = 1.9703235261867958539603077642904 absolute error = 0.0005371010540141081423146928741 relative error = 0.027252107358095918413894830263102 % h = 0.001 y1[1] (analytic) = 0.76035517432337277908131416597463 y1[1] (numeric) = 0.76037414012171014004038372570403 absolute error = 1.896579833736095906955972940e-05 relative error = 0.0024943340925164746225579741259516 % h = 0.001 TOP MAIN SOLVE Loop memory used=793.4MB, alloc=4.4MB, time=77.37 NO POLE NO POLE memory used=797.2MB, alloc=4.4MB, time=78.04 x[1] = 0.243 y2[1] (analytic) = 1.9706204970248009692839070399837 y2[1] (numeric) = 1.9700718674162189150137370133593 absolute error = 0.0005486296085820542701700266244 relative error = 0.027840449716744703523058665615876 % h = 0.001 y1[1] (analytic) = 0.75938443368034491868171494273065 y1[1] (numeric) = 0.75940394233030021855517461655864 absolute error = 1.950864995529987345967382799e-05 relative error = 0.0025690084086595643040858194843153 % h = 0.001 TOP MAIN SOLVE Loop memory used=801.0MB, alloc=4.4MB, time=78.71 NO POLE NO POLE x[1] = 0.244 y2[1] (analytic) = 1.9703793961883758367029449043108 y2[1] (numeric) = 1.9698190728593470765148020312707 absolute error = 0.0005603233290287601881428730401 relative error = 0.028437331922607615726289664028948 % h = 0.001 y1[1] (analytic) = 0.7584139336528633266406721097428 y1[1] (numeric) = 0.75843399676547313642267354816949 absolute error = 2.006311260980978200143842669e-05 relative error = 0.0026454040095461839809883195759354 % h = 0.001 TOP MAIN SOLVE Loop memory used=804.9MB, alloc=4.4MB, time=79.36 NO POLE NO POLE x[1] = 0.245 y2[1] (analytic) = 1.9701373249726353806931329320715 y2[1] (numeric) = 1.9695651415456803918569480940265 absolute error = 0.000572183426954988836184838045 relative error = 0.029042819487871805747027038557188 % h = 0.001 y1[1] (analytic) = 0.7574436752114279495647781137546 y1[1] (numeric) = 0.75746430456350045860747123863506 absolute error = 2.062935207250904269312488046e-05 relative error = 0.0027235493209116437877094892125991 % h = 0.001 TOP MAIN SOLVE Loop memory used=808.7MB, alloc=4.4MB, time=80.01 memory used=812.5MB, alloc=4.4MB, time=80.66 NO POLE NO POLE x[1] = 0.246 y2[1] (analytic) = 1.9698942836196507968223264937931 y2[1] (numeric) = 1.969310072504960500459703425105 absolute error = 0.0005842111146902963626230686881 relative error = 0.029656978018983705127845885557936 % h = 0.001 y1[1] (analytic) = 0.75647365932629714803454260620757 y1[1] (numeric) = 0.75649486686162412930861685684499 absolute error = 2.120753532698127407425063742e-05 relative error = 0.0028034730708096765862778375404036 % h = 0.001 TOP MAIN SOLVE Loop memory used=816.3MB, alloc=4.4MB, time=81.31 NO POLE NO POLE x[1] = 0.247 y2[1] (analytic) = 1.9696502723724634178216640533481 y2[1] (numeric) = 1.969053864767171598026958921072 absolute error = 0.0005964076052918197947051322761 relative error = 0.030279873216956474190215507217988 % h = 0.001 y1[1] (analytic) = 0.75550388696748672634611271759229 y1[1] (numeric) = 0.75552568479805622988844262707144 absolute error = 2.179783056950354232990947915e-05 relative error = 0.0028852042915355135289582064704128 % h = 0.001 TOP MAIN SOLVE Loop memory used=820.1MB, alloc=4.4MB, time=81.96 memory used=823.9MB, alloc=4.4MB, time=82.61 NO POLE NO POLE x[1] = 0.248 y2[1] (analytic) = 1.9694052914750844705442546902599 y2[1] (numeric) = 1.9687965173625414065626916130422 absolute error = 0.0006087741125430639815630772177 relative error = 0.030911570877678113677919845128134 % h = 0.001 y1[1] (analytic) = 0.75453435910476896249554959594889 y1[1] (numeric) = 0.75455675951197873583125135112221 absolute error = 2.240040720977333570175517332e-05 relative error = 0.0029687723215614338566655276240263 % h = 0.001 TOP MAIN SOLVE Loop memory used=827.7MB, alloc=4.4MB, time=83.26 NO POLE NO POLE x[1] = 0.249 y2[1] (analytic) = 1.9691593411724948319539715808613 y2[1] (numeric) = 1.9685380293215421441431618483483 absolute error = 0.000621311850952687810809732513 relative error = 0.031552136892220242389191710140878 % h = 0.001 y1[1] (analytic) = 0.75356507670767163840663122515975 y1[1] (numeric) = 0.75358809214354327273210988934774 absolute error = 2.301543587163432547866418799e-05 relative error = 0.0030542068074848747533795090127455 % h = 0.001 TOP MAIN SOLVE Loop memory used=831.6MB, alloc=4.4MB, time=83.93 memory used=835.4MB, alloc=4.4MB, time=84.58 NO POLE NO POLE x[1] = 0.25 y2[1] (analytic) = 1.9689124217106447841445954494942 y2[1] (numeric) = 1.9682783996748914944446144203017 absolute error = 0.0006340220357532896999810291925 relative error = 0.032201637247147543109283472110704 % h = 0.001 y1[1] (analytic) = 0.75259604074547707040315129515061 y1[1] (numeric) = 0.75261968383387087131599261168825 absolute error = 2.364308839380091284131653764e-05 relative error = 0.003141537705989187716839166012934 % h = 0.001 TOP MAIN SOLVE Loop memory used=839.2MB, alloc=4.4MB, time=85.23 NO POLE NO POLE x[1] = 0.251 y2[1] (analytic) = 1.9686645333364537683895529705847 y2[1] (numeric) = 1.9680176274535535760255141184239 absolute error = 0.0006469058829001923640388521608 relative error = 0.032860138024827879161894280036352 % h = 0.001 y1[1] (analytic) = 0.75162725218722113992668365162059 y1[1] (numeric) = 0.75165153572505172148751979959713 absolute error = 2.428353783058156083614797654e-05 relative error = 0.0032307952858171285510206049951325 % h = 0.001 TOP MAIN SOLVE Loop memory used=843.0MB, alloc=4.4MB, time=85.87 memory used=846.8MB, alloc=4.4MB, time=86.53 NO POLE NO POLE x[1] = 0.252 y2[1] (analytic) = 1.9684156762978101382224960718362 y2[1] (numeric) = 1.9677557116887399113623464169944 absolute error = 0.0006599646090702268601496548418 relative error = 0.033527705403743083904597815190236 % h = 0.001 y1[1] (analytic) = 0.75065871200169232450078160745575 y1[1] (numeric) = 0.75068364896014492541153694908166 absolute error = 2.493695845260091075534162591e-05 relative error = 0.0033220101297571687363560896731607 % h = 0.001 TOP MAIN SOLVE Loop memory used=850.6MB, alloc=4.4MB, time=87.18 NO POLE NO POLE x[1] = 0.253 y2[1] (analytic) = 1.9681658508435709115489690579392 y2[1] (numeric) = 1.9674926514119103956380142661945 absolute error = 0.0006731994316605159109547917447 relative error = 0.034204405658800425500165132939257 % h = 0.001 y1[1] (analytic) = 0.74969042115743072894258115154618 y1[1] (numeric) = 0.74971602468317824962478189426124 absolute error = 2.560352574752068220074271506e-05 relative error = 0.003415213136642716589383139025493 % h = 0.001 TOP MAIN SOLVE Loop memory used=854.5MB, alloc=4.4MB, time=87.83 memory used=858.3MB, alloc=4.4MB, time=88.49 NO POLE NO POLE x[1] = 0.254 y2[1] (analytic) = 1.9679150572235615217894114431114 y2[1] (numeric) = 1.9672284456547742652818621975319 absolute error = 0.0006866115687872565075492455795 relative error = 0.034890305161644749302454420310901 % h = 0.001 y1[1] (analytic) = 0.7487223806227271168227768433228 y1[1] (numeric) = 0.74874866403914787617888763975527 absolute error = 2.628341642075935611079643247e-05 relative error = 0.0035104355233643372845656274010792 % h = 0.001 TOP MAIN SOLVE Loop memory used=862.1MB, alloc=4.4MB, time=89.15 NO POLE NO POLE x[1] = 0.255 y2[1] (analytic) = 1.9676632956885755680537453494437 y2[1] (numeric) = 1.9669630934492910662603592036019 absolute error = 0.0007002022392845017933861458418 relative error = 0.035585470380971300202343582981116 % h = 0.001 y1[1] (analytic) = 0.74775459136562194217493893295701 y1[1] (numeric) = 0.74778156817401815281496975887715 absolute error = 2.697680839621064003082592014e-05 relative error = 0.0036077088268950614774514290796353 % h = 0.001 TOP MAIN SOLVE Loop memory used=865.9MB, alloc=4.4MB, time=89.79 NO POLE NO POLE x[1] = 0.256 y2[1] (analytic) = 1.9674105664903745643477972964435 y2[1] (numeric) = 1.9666965938276716221174721015832 absolute error = 0.0007139726627029422303251948603 relative error = 0.036289967882839227286012575043704 % h = 0.001 y1[1] (analytic) = 0.7467870543539043814551399978256 y1[1] (numeric) = 0.74681473823472134217004818302624 absolute error = 2.768388081696071490818520064e-05 relative error = 0.003707064906328872940170363197372 % h = 0.001 TOP MAIN SOLVE Loop memory used=869.7MB, alloc=4.4MB, time=90.45 memory used=873.5MB, alloc=4.4MB, time=91.11 NO POLE NO POLE x[1] = 0.257 y2[1] (analytic) = 1.967156869881687687811805175334 y2[1] (numeric) = 1.9664289458223790017637613401757 absolute error = 0.0007279240593086860480438351583 relative error = 0.037003864330985773164740395946136 % h = 0.001 y1[1] (analytic) = 0.74581977055511136575285913553355 y1[1] (numeric) = 0.74584817536915737001555417583495 absolute error = 2.840481404600426269504030140e-05 relative error = 0.0038085359449324662975797931202383 % h = 0.001 TOP MAIN SOLVE Loop memory used=877.3MB, alloc=4.4MB, time=91.76 NO POLE NO POLE x[1] = 0.258 y2[1] (analytic) = 1.9669022061162115259912621695806 y2[1] (numeric) = 1.9661601484661294870132314609651 absolute error = 0.0007420576500820389780307086155 relative error = 0.037727226487141150342266799612593 % h = 0.001 y1[1] (analytic) = 0.74485274093652661325413150250981 y1[1] (numeric) = 0.74488188072619357252817425354315 absolute error = 2.913978966695927404275103334e-05 relative error = 0.0039121544522103666351814140022828 % h = 0.001 TOP MAIN SOLVE Loop memory used=881.2MB, alloc=4.4MB, time=92.40 memory used=885.0MB, alloc=4.4MB, time=93.08 NO POLE NO POLE x[1] = 0.259 y2[1] (analytic) = 1.9666465754486098231403503507787 y2[1] (numeric) = 1.9658902007918935398669686774448 absolute error = 0.0007563746567162832733816733339 relative error = 0.03846012121134410699268109037686 % h = 0.001 y1[1] (analytic) = 0.74388596646517966195791073494597 y1[1] (numeric) = 0.74391585545566444259328378073485 absolute error = 2.988899048478063537304578888e-05 relative error = 0.0040179532659835034383101796021485 % h = 0.001 TOP MAIN SOLVE Loop memory used=888.8MB, alloc=4.4MB, time=93.72 NO POLE NO POLE x[1] = 0.26 y2[1] (analytic) = 1.9663899781345132255582176464501 y2[1] (numeric) = 1.9656191018328967695425982881371 absolute error = 0.000770876301616456015619358313 relative error = 0.039202615462258184528740018516492 % h = 0.001 y1[1] (analytic) = 0.74291944810784490264661153563478 y1[1] (numeric) = 0.74295010070837137514122393798239 absolute error = 3.065260052647249461240234761e-05 relative error = 0.0041259655544813320160840949283328 % h = 0.001 TOP MAIN SOLVE Loop memory used=892.6MB, alloc=4.4MB, time=94.37 memory used=896.4MB, alloc=4.4MB, time=95.03 NO POLE NO POLE x[1] = 0.261 y2[1] (analytic) = 1.9661324144305190259583528434479 y2[1] (numeric) = 1.9653468506226208992485948944384 absolute error = 0.0007855638078981267097579490095 relative error = 0.039954776297488669347483834117772 % h = 0.001 y1[1] (analytic) = 0.74195318683104061211179945608533 y1[1] (numeric) = 0.74198461763608241151667672510003 absolute error = 3.143080504179940487726901470e-05 relative error = 0.004236224818447596263251323987038 % h = 0.001 TOP MAIN SOLVE Loop memory used=900.2MB, alloc=4.4MB, time=95.68 NO POLE NO POLE x[1] = 0.262 y2[1] (analytic) = 1.9658738845941909068713142575752 y2[1] (numeric) = 1.9650734461948047327024786489574 absolute error = 0.0008004383993861741688356086178 relative error = 0.040716670873900241147014113284701 % h = 0.001 y1[1] (analytic) = 0.74098718360102798663599464814456 y1[1] (numeric) = 0.74101940739153198288139363061052 absolute error = 3.222379050399624539898246596e-05 relative error = 0.0043487648932598273184287944828659 % h = 0.001 TOP MAIN SOLVE Loop memory used=904.0MB, alloc=4.4MB, time=96.32 memory used=907.9MB, alloc=4.4MB, time=96.99 NO POLE NO POLE x[1] = 0.263 y2[1] (analytic) = 1.9656143888840586830810686666656 y2[1] (numeric) = 1.9647988875834451203919310162313 absolute error = 0.0008155013006135626891376504343 relative error = 0.041488366447935320215319134925458 % h = 0.001 y1[1] (analytic) = 0.74002143938381017573155610324072 y1[1] (numeric) = 0.74005447112842065265053456467474 absolute error = 3.303174461047691897846143402e-05 relative error = 0.0044636199510626733883447650698463 % h = 0.001 TOP MAIN SOLVE Loop memory used=911.7MB, alloc=4.4MB, time=97.63 NO POLE NO POLE x[1] = 0.264 y2[1] (analytic) = 1.9653539275596180430951980707674 y2[1] (numeric) = 1.9645231738227979255778637847846 absolute error = 0.0008307537368201175173342859828 relative error = 0.042269930375933116099082461968428 % h = 0.001 y1[1] (analytic) = 0.73905595514513131613761264028424 y1[1] (numeric) = 0.73908981000141485796287461912389 absolute error = 3.385485628354182526197883965e-05 relative error = 0.0045808245029151567246276800227983 % h = 0.001 TOP MAIN SOLVE Loop memory used=915.5MB, alloc=4.4MB, time=98.28 memory used=919.3MB, alloc=4.4MB, time=98.95 NO POLE NO POLE x[1] = 0.265 y2[1] (analytic) = 1.9650925008813302896492328092017 y2[1] (numeric) = 1.9642463039473789900384753275417 absolute error = 0.00084619693395129961075748166 relative error = 0.043061430114449380067488068652139 % h = 0.001 y1[1] (analytic) = 0.73809073185047556607600664521424 y1[1] (numeric) = 0.73812542516614665018513718436597 absolute error = 3.469331567108410913053915173e-05 relative error = 0.0047004134009519544624765842087137 % h = 0.001 TOP MAIN SOLVE Loop memory used=923.1MB, alloc=4.4MB, time=99.60 NO POLE NO POLE x[1] = 0.266 y2[1] (analytic) = 1.9648301091106220792453705301393 y2[1] (numeric) = 1.9639682769919650995533283666184 absolute error = 0.0008618321186569796920421635209 relative error = 0.043862933220576863793140958356571 % h = 0.001 y1[1] (analytic) = 0.73712577046506613976721630616662 y1[1] (numeric) = 0.73716131777921343445071291881183 absolute error = 3.554731414729468349661264521e-05 relative error = 0.0048224218405588007592564139741466 % h = 0.001 TOP MAIN SOLVE Loop memory used=926.9MB, alloc=4.4MB, time=100.24 NO POLE NO POLE memory used=930.7MB, alloc=4.4MB, time=100.90 x[1] = 0.267 y2[1] (analytic) = 1.9645667525098851607258414739579 y2[1] (numeric) = 1.9636890919915949491264837584938 absolute error = 0.0008776605182902115993577154641 relative error = 0.04467450735226648667935583703798 % h = 0.001 y1[1] (analytic) = 0.73616107195386434220722182826113 y1[1] (numeric) = 0.7361974889981777082330250320801 absolute error = 3.641704431336602580320381897e-05 relative error = 0.0049468853625621084057371220318176 % h = 0.001 TOP MAIN SOLVE Loop memory used=934.6MB, alloc=4.4MB, time=101.55 NO POLE NO POLE x[1] = 0.268 y2[1] (analytic) = 1.9643024313424761128811814969892 y2[1] (numeric) = 1.9634087479815701079477250765099 absolute error = 0.0008936833609060049334564204793 relative error = 0.045496220268649214270228148005178 % h = 0.001 y1[1] (analytic) = 0.73519663728156860420628085106048 y1[1] (numeric) = 0.73523393998156679895380230859389 absolute error = 3.730269999819474752145753341e-05 relative error = 0.0050738398554329088233918450097793 % h = 0.001 TOP MAIN SOLVE Loop memory used=938.4MB, alloc=4.4MB, time=102.20 NO POLE NO POLE x[1] = 0.269 y2[1] (analytic) = 1.9640371458727160810936752273647 y2[1] (numeric) = 1.9631272439974559840909090295551 absolute error = 0.0009099018752600970027661978096 relative error = 0.046328139830358650187091739505914 % h = 0.001 y1[1] (analytic) = 0.73423246741261351769057802984597 y1[1] (numeric) = 0.73427067188887260062652226327448 absolute error = 3.820447625908293594423342851e-05 relative error = 0.0052033215575052101079396980857046 % h = 0.001 TOP MAIN SOLVE Loop memory used=942.2MB, alloc=4.4MB, time=102.85 memory used=946.0MB, alloc=4.4MB, time=103.51 NO POLE NO POLE x[1] = 0.27 y2[1] (analytic) = 1.9637708963658905130162327094922 y2[1] (numeric) = 1.9628445790750827889484770186607 absolute error = 0.0009263172908077240677556908315 relative error = 0.047170333999854344042185730078493 % h = 0.001 y1[1] (analytic) = 0.73326856331116887126771347897946 y1[1] (numeric) = 0.73330768588055130953528778586673 absolute error = 3.912256938243826757430688727e-05 relative error = 0.0053353670592088735322173135625684 % h = 0.001 TOP MAIN SOLVE Loop memory used=949.8MB, alloc=4.4MB, time=104.15 NO POLE NO POLE x[1] = 0.271 y2[1] (analytic) = 1.9635036830882488932869638582654 y2[1] (numeric) = 1.9625607522505465014011633970797 absolute error = 0.0009429308377023918858004611857 relative error = 0.048022870841745817787599863473817 % h = 0.001 y1[1] (analytic) = 0.73230492594113868605699451178298 y1[1] (numeric) = 0.73234498311802315894940159499773 absolute error = 4.005717688447289240708321475e-05 relative error = 0.0054700133053171096805444799093104 % h = 0.001 TOP MAIN SOLVE Loop memory used=953.6MB, alloc=4.4MB, time=104.80 memory used=957.5MB, alloc=4.4MB, time=105.46 NO POLE NO POLE x[1] = 0.272 y2[1] (analytic) = 1.9632355063070044772797160084106 y2[1] (numeric) = 1.9622757625602098317219362642202 absolute error = 0.0009597437467946455577797441904 relative error = 0.048885818523117312964842909650602 % h = 0.001 y1[1] (analytic) = 0.73134155626616025178549484656383 y1[1] (numeric) = 0.73138256476367215287390378737196 absolute error = 4.100849751190108840894080813e-05 relative error = 0.0056072975972086961520682601277283 % h = 0.001 TOP MAIN SOLVE Loop memory used=961.3MB, alloc=4.4MB, time=106.11 NO POLE NO POLE x[1] = 0.273 y2[1] (analytic) = 1.9629663662903340238908408084099 y2[1] (numeric) = 1.9619896090407031852132068895725 absolute error = 0.0009767572496308386776339188374 relative error = 0.049759245313853261327682576516344 % h = 0.001 y1[1] (analytic) = 0.73037845524960316315084518264563 y1[1] (numeric) = 0.73042043198084579883633873154335 absolute error = 4.197673124263568549354889772e-05 relative error = 0.0057472575951450195421823790365275 % h = 0.001 TOP MAIN SOLVE Loop memory used=965.1MB, alloc=4.4MB, time=106.76 memory used=968.9MB, alloc=4.4MB, time=107.42 NO POLE NO POLE x[1] = 0.274 y2[1] (analytic) = 1.9626962633073775273624576722117 y2[1] (numeric) = 1.9617022907289256255763441295007 absolute error = 0.000993972578451901786113542711 relative error = 0.050643219586964481318238054805307 % h = 0.001 y1[1] (analytic) = 0.72941562385456835645171878353456 y1[1] (numeric) = 0.72945858593385483971001851947499 absolute error = 4.296207928648325829973594043e-05 relative error = 0.0058899313205620451890806093668538 % h = 0.001 TOP MAIN SOLVE Loop memory used=972.7MB, alloc=4.4MB, time=108.07 NO POLE NO POLE x[1] = 0.275 y2[1] (analytic) = 1.9624251976282379481424819654439 y2[1] (numeric) = 1.9614138066620458380125304674654 absolute error = 0.0010113909661921101299514979785 relative error = 0.051537809818915102883667832150487 % h = 0.001 y1[1] (analytic) = 0.72845306304388714648697543665472 y1[1] (numeric) = 0.72849702778797298457405115260075 absolute error = 4.396474408583808707571594603e-05 relative error = 0.0060353571583773189568710391918323 % h = 0.001 TOP MAIN SOLVE Loop memory used=976.5MB, alloc=4.4MB, time=108.73 memory used=980.3MB, alloc=4.4MB, time=109.40 NO POLE NO POLE x[1] = 0.276 y2[1] (analytic) = 1.9621531695239809427816870660775 y2[1] (numeric) = 1.9611241558775030920539965769011 absolute error = 0.0010290136464778507276904891764 relative error = 0.052443084589950223128185888867787 % h = 0.001 y1[1] (analytic) = 0.72749077378012026372442689042862 y1[1] (numeric) = 0.72753575870943663861040260233814 absolute error = 4.498492931637488597571190952e-05 relative error = 0.006183573859312106117509697330398 % h = 0.001 TOP MAIN SOLVE Loop memory used=984.2MB, alloc=4.4MB, time=110.04 NO POLE NO POLE x[1] = 0.277 y2[1] (analytic) = 1.9618801792666345928680704024572 y2[1] (numeric) = 1.9608333374130082041246715755936 absolute error = 0.0010468418536263887433988268636 relative error = 0.053359112584424295302558934967044 % h = 0.001 y1[1] (analytic) = 0.72652875702555689174018659985692 y1[1] (numeric) = 0.72657477986544463203826284796793 absolute error = 4.602283988774029807624811101e-05 relative error = 0.0063346205422287731911648312180347 % h = 0.001 TOP MAIN SOLVE Loop memory used=988.0MB, alloc=4.4MB, time=110.69 NO POLE NO POLE memory used=991.8MB, alloc=4.4MB, time=111.35 x[1] = 0.278 y2[1] (analytic) = 1.9616062271291891329987945343101 y2[1] (numeric) = 1.9605413503065444998292864109885 absolute error = 0.0010648768226446331695081233216 relative error = 0.054285962591130253640686072856475 % h = 0.001 y1[1] (analytic) = 0.72556701374221370492956634116763 y1[1] (numeric) = 0.72561409242415794808598695749178 absolute error = 4.707868194424315642061632415e-05 relative error = 0.0064885366964835194085555132360159 % h = 0.001 TOP MAIN SOLVE Loop memory used=995.6MB, alloc=4.4MB, time=112.03 NO POLE NO POLE x[1] = 0.279 y2[1] (analytic) = 1.9613313133855966777899753047686 y2[1] (numeric) = 1.9602481935963687759699680874069 absolute error = 0.0010831197892279018200072173617 relative error = 0.055223703503629376560340282051583 % h = 0.001 y1[1] (analytic) = 0.72460554489183390649048198455785 y1[1] (numeric) = 0.72465369755469945000088323950423 absolute error = 4.815266286554351040125494638e-05 relative error = 0.006645362184294565269379101254819 % h = 0.001 TOP MAIN SOLVE Loop memory used=999.4MB, alloc=4.4MB, time=112.71 NO POLE NO POLE x[1] = 0.28 y2[1] (analytic) = 1.9610554383107709479245900535965 y2[1] (numeric) = 1.9599538663210122622893627186537 absolute error = 0.0011015719897586856352273349428 relative error = 0.056172404320581890752658529472095 % h = 0.001 y1[1] (analytic) = 0.72364435143588626668033044154215 y1[1] (numeric) = 0.72369359642715360709712145626812 absolute error = 4.924499126734041679101472597e-05 relative error = 0.0068051372431259064882108711778195 % h = 0.001 TOP MAIN SOLVE Loop memory used=1003.2MB, alloc=4.4MB, time=113.38 memory used=1007.0MB, alloc=4.4MB, time=114.04 NO POLE NO POLE x[1] = 0.281 y2[1] (analytic) = 1.9607786021805869952387798436879 y2[1] (numeric) = 1.959658367519281582939325662977 absolute error = 0.0011202346613054122994541807109 relative error = 0.057132134146078318692504221046019 % h = 0.001 y1[1] (analytic) = 0.72268343433556416134729952995054 y1[1] (numeric) = 0.72273379021256621984203505006238 absolute error = 5.035587700205849473552011184e-05 relative error = 0.0069679024880867424432859238640607 % h = 0.001 TOP MAIN SOLVE Loop memory used=1010.9MB, alloc=4.4MB, time=114.69 NO POLE NO POLE x[1] = 0.282 y2[1] (analytic) = 1.9605008052718809268468206145129 y2[1] (numeric) = 1.9593616962302597176742172717673 absolute error = 0.0011391090416212091726033427456 relative error = 0.05810296218997157210939223739543 % h = 0.001 y1[1] (analytic) = 0.72172279455178461073707222518593 y1[1] (numeric) = 0.72177428008294414398109229647707 absolute error = 5.148553115953324402007129114e-05 relative error = 0.0071336989143466890744188779849962 % h = 0.001 TOP MAIN SOLVE Loop memory used=1014.7MB, alloc=4.4MB, time=115.34 memory used=1018.5MB, alloc=4.4MB, time=116.00 NO POLE NO POLE x[1] = 0.283 y2[1] (analytic) = 1.9602220478624496283050391375165 y2[1] (numeric) = 1.9590638514933069627678430587815 absolute error = 0.001158196369142665537196078735 relative error = 0.059084957768209793966263048519843 % h = 0.001 y1[1] (analytic) = 0.72076243304518731857588649095688 y1[1] (numeric) = 0.72081506721125501370181225966152 absolute error = 5.263416606769512592576870464e-05 relative error = 0.0073025678995668870140421140339462 % h = 0.001 TOP MAIN SOLVE Loop memory used=1022.3MB, alloc=4.4MB, time=116.65 NO POLE NO POLE x[1] = 0.284 y2[1] (analytic) = 1.9599423302310504858149506095312 y2[1] (numeric) = 1.9587648323480618916530773730313 absolute error = 0.0011774978829885941618732364999 relative error = 0.060078190303169951501018490605876 % h = 0.001 y1[1] (analytic) = 0.71980235077613371143091160634557 y1[1] (numeric) = 0.71985615277142696383690238558656 absolute error = 5.380199529325240599077924099e-05 relative error = 0.0074745512063471165800102470998709 % h = 0.001 TOP MAIN SOLVE Loop memory used=1026.1MB, alloc=4.4MB, time=117.30 memory used=1029.9MB, alloc=4.4MB, time=117.96 NO POLE NO POLE x[1] = 0.285 y2[1] (analytic) = 1.959661652657401107465895681044 y2[1] (numeric) = 1.9584646378344423152832099357927 absolute error = 0.0011970148229587921826857452513 relative error = 0.061082729323992182893387823796693 % h = 0.001 y1[1] (analytic) = 0.71884254870470597834890162875478 y1[1] (numeric) = 0.71889753793834835110689553016008 absolute error = 5.498923364237275799390140530e-05 relative error = 0.0076496909846890321104894913464072 % h = 0.001 TOP MAIN SOLVE Loop memory used=1033.7MB, alloc=4.4MB, time=118.62 NO POLE NO POLE x[1] = 0.286 y2[1] (analytic) = 1.9593800154221790435174556766546 y2[1] (numeric) = 1.9581632669926462422140548804699 absolute error = 0.0012167484295328013034007961847 relative error = 0.062098644466914900127378784497719 % h = 0.001 y1[1] (analytic) = 0.71788302779070611077408635400021 y1[1] (numeric) = 0.71793922388786747440256517953565 absolute error = 5.619609716136362847882553544e-05 relative error = 0.0078280297744756289799886585649851 % h = 0.001 TOP MAIN SOLVE Loop memory used=1037.6MB, alloc=4.4MB, time=119.29 memory used=1041.4MB, alloc=4.4MB, time=119.94 NO POLE NO POLE x[1] = 0.287 y2[1] (analytic) = 1.9590974188070215057219257252902 y2[1] (numeric) = 1.9578607188631528384058622132845 absolute error = 0.0012366999438686673160635120057 relative error = 0.063126005475610650627284612765023 % h = 0.001 y1[1] (analytic) = 0.71692378899365494274625985557732 y1[1] (numeric) = 0.71698121179679229410739858017572 absolute error = 5.742280313735136113872459840e-05 relative error = 0.008009610507967057501457340399441 % h = 0.001 TOP MAIN SOLVE Loop memory used=1045.2MB, alloc=4.4MB, time=120.59 NO POLE NO POLE x[1] = 0.288 y2[1] (analytic) = 1.9588138630945250856871264776764 y2[1] (numeric) = 1.9575569924867233867440718929587 absolute error = 0.0012568706078016989430545847177 relative error = 0.06416488220152274025296458611009 % h = 0.001 y1[1] (analytic) = 0.71596483327279119138002640493412 y1[1] (numeric) = 0.71602350284289015046040845617284 absolute error = 5.866957009895908038205123872e-05 relative error = 0.0081944765123128987924406122283052 % h = 0.001 TOP MAIN SOLVE Loop memory used=1049.0MB, alloc=4.4MB, time=121.24 memory used=1052.8MB, alloc=4.4MB, time=121.90 NO POLE NO POLE x[1] = 0.289 y2[1] (analytic) = 1.9585293485682454722798360482323 y2[1] (numeric) = 1.9572520869044022462779510087183 absolute error = 0.001277261663843226001885039514 relative error = 0.065215344604202620247892540620459 % h = 0.001 y1[1] (analytic) = 0.71500616158707049762616329342395 y1[1] (numeric) = 0.7150660982048874809595649509937 absolute error = 5.993661781698333340165756975e-05 relative error = 0.0083826715120810185636032452326008 % h = 0.001 TOP MAIN SOLVE Loop memory used=1056.6MB, alloc=4.4MB, time=122.55 NO POLE NO POLE x[1] = 0.29 y2[1] (analytic) = 1.9582438755126971680701247779319 y2[1] (numeric) = 1.9569460011575178111761548180579 absolute error = 0.001297874355179356893969959874 relative error = 0.066277462751648040741275321094443 % h = 0.001 y1[1] (analytic) = 0.71404777489516446731605979449563 y1[1] (numeric) = 0.71410899906246953680613039019054 absolute error = 6.122416730506949007059569491e-05 relative error = 0.0085742396318031156755854332827053 % h = 0.001 TOP MAIN SOLVE Loop memory used=1060.4MB, alloc=4.4MB, time=123.19 NO POLE NO POLE x[1] = 0.291 y2[1] (analytic) = 1.9579574442133532048168763737751 y2[1] (numeric) = 1.9566387342876834693982526887882 absolute error = 0.0013187099256697354186236849869 relative error = 0.067351306820641973413381189423192 % h = 0.001 y1[1] (analytic) = 0.71308967415545971249019122160201 y1[1] (numeric) = 0.7131522065962800983901804207215 absolute error = 6.253244082038589998919911949e-05 relative error = 0.0087692253985370832051925834814269 % h = 0.001 TOP MAIN SOLVE Loop memory used=1064.3MB, alloc=4.4MB, time=123.84 memory used=1068.1MB, alloc=4.4MB, time=124.50 NO POLE NO POLE x[1] = 0.292 y2[1] (analytic) = 1.9576700549566448579947799393226 y2[1] (numeric) = 1.9563302853367985610812602739181 absolute error = 0.0013397696198462969135196654045 relative error = 0.068436947097092305941087049103178 % h = 0.001 y1[1] (analytic) = 0.71213186032605689301158675327299 y1[1] (numeric) = 0.71219572198792118981759604133509 absolute error = 6.386166186429680600928806210e-05 relative error = 0.008967673744446300664420579619771 % h = 0.001 TOP MAIN SOLVE Loop memory used=1071.9MB, alloc=4.4MB, time=125.15 NO POLE NO POLE x[1] = 0.293 y2[1] (analytic) = 1.9573817080299613603630783692788 y2[1] (numeric) = 1.9560206533470493366402195329201 absolute error = 0.0013610546829120237228588363587 relative error = 0.069534453976372310848553029091759 % h = 0.001 y1[1] (analytic) = 0.71117433436476975846524941180534 y1[1] (numeric) = 0.71123954641995279247881199700298 absolute error = 6.521205518303401356258519764e-05 relative error = 0.0091696300093959769258425551761304 % h = 0.001 TOP MAIN SOLVE Loop memory used=1075.7MB, alloc=4.4MB, time=125.79 memory used=1079.5MB, alloc=4.4MB, time=126.46 NO POLE NO POLE x[1] = 0.294 y2[1] (analytic) = 1.9570924037216496145763595393507 y2[1] (numeric) = 1.9557098373609099145818684988784 absolute error = 0.0013825663607396999944910404723 relative error = 0.070643897963661891395863628412128 % h = 0.001 y1[1] (analytic) = 0.71021709722912419034448629606947 y1[1] (numeric) = 0.71028368107589255765960796862874 absolute error = 6.658384676836731512167255927e-05 relative error = 0.0093751399435666643255017148906024 % h = 0.001 TOP MAIN SOLVE Loop memory used=1083.3MB, alloc=4.4MB, time=127.09 NO POLE NO POLE x[1] = 0.295 y2[1] (analytic) = 1.956802142321013904837677680568 y2[1] (numeric) = 1.9553978364211432390304429779303 absolute error = 0.0014043058998706658072347026377 relative error = 0.071765349674289607146436370209669 % h = 0.001 y1[1] (analytic) = 0.70926014987635724452510688202316 y1[1] (numeric) = 0.70932812714021551819422994721753 absolute error = 6.797726385827366912306519437e-05 relative error = 0.0095842497100850653397358958179885 % h = 0.001 TOP MAIN SOLVE Loop memory used=1087.2MB, alloc=4.4MB, time=127.75 memory used=1091.0MB, alloc=4.4MB, time=128.42 NO POLE NO POLE x[1] = 0.296 y2[1] (analytic) = 1.9565109241183156075942932849186 y2[1] (numeric) = 1.9550846495708020369646526552782 absolute error = 0.0014262745475135706296406296404 relative error = 0.072898879834075481861991867598794 % h = 0.001 y1[1] (analytic) = 0.70830349326341619402844691665405 y1[1] (numeric) = 0.70837288579835379916113013936124 absolute error = 6.939253493760513268322270719e-05 relative error = 0.0097970058876722541653728077794627 % h = 0.001 TOP MAIN SOLVE Loop memory used=1094.8MB, alloc=4.4MB, time=129.07 NO POLE NO POLE x[1] = 0.297 y2[1] (analytic) = 1.9562187494047729012763208465347 y2[1] (numeric) = 1.9547702758532297751648743708766 absolute error = 0.0014484735515431261114464756581 relative error = 0.07404455927967459638190348097673 % h = 0.001 y1[1] (analytic) = 0.70734712834695757207417514224732 y1[1] (numeric) = 0.70741795823669632762161470827513 absolute error = 7.082988973875554743956602781e-05 relative error = 0.010013455473309436473550367498387 % h = 0.001 TOP MAIN SOLVE Loop memory used=1098.6MB, alloc=4.4MB, time=129.71 memory used=1102.4MB, alloc=4.4MB, time=130.37 NO POLE NO POLE x[1] = 0.298 y2[1] (analytic) = 1.9559256184725604750785746997598 y2[1] (numeric) = 1.9544547143120616168696056176801 absolute error = 0.0014709041604988582089690820797 relative error = 0.075202458958921469151800466057412 % h = 0.001 y1[1] (analytic) = 0.70639105608334621542383979809208 y1[1] (numeric) = 0.70646334564258854140168961171397 absolute error = 7.228955924232597784981362189e-05 relative error = 0.01023364588492137155610505619366 % h = 0.001 TOP MAIN SOLVE Loop memory used=1106.2MB, alloc=4.4MB, time=131.02 NO POLE NO POLE x[1] = 0.299 y2[1] (analytic) = 1.9556315316148092367859041722236 y2[1] (numeric) = 1.9541379639912253781402216060789 absolute error = 0.0014935676235838586456825661447 relative error = 0.076372649931175227074385791494782 % h = 0.001 y1[1] (analytic) = 0.70543527742865430801611155600021 y1[1] (numeric) = 0.70550904920433209691739575489764 absolute error = 7.377177567778890128419889743e-05 relative error = 0.010457624964077582040104297683213 % h = 0.001 TOP MAIN SOLVE Loop memory used=1110.0MB, alloc=4.4MB, time=131.67 memory used=1113.9MB, alloc=4.4MB, time=132.33 NO POLE NO POLE x[1] = 0.3 y2[1] (analytic) = 1.955336489125606019642310227568 y2[1] (numeric) = 1.9538200239349424839330795298442 absolute error = 0.0015164651906635357092306977238 relative error = 0.077555203367665569363548764912712 % h = 0.001 y1[1] (analytic) = 0.70447979333866042489467925431497 y1[1] (numeric) = 0.70455507011118457604392563308666 absolute error = 7.527677252415114924637877169e-05 relative error = 0.010685440978711477310748685906475 % h = 0.001 TOP MAIN SOLVE Loop memory used=1117.7MB, alloc=4.4MB, time=132.97 NO POLE NO POLE x[1] = 0.301 y2[1] (analytic) = 1.9550404912999932882641367286816 y2[1] (numeric) = 1.953500893187728923878013961559 absolute error = 0.0015395981122643643861227671226 relative error = 0.078750190551839527091003364985646 % h = 0.001 y1[1] (analytic) = 0.70352460476884857642975450243418 y1[1] (numeric) = 0.70360140955335919202881459466656 absolute error = 7.680478451061559906009223238e-05 relative error = 0.010917142625857517755609409696674 % h = 0.001 TOP MAIN SOLVE Loop memory used=1121.5MB, alloc=4.4MB, time=133.62 NO POLE NO POLE memory used=1125.3MB, alloc=4.4MB, time=134.27 x[1] = 0.302 y2[1] (analytic) = 1.9547435384339688435976304082261 y2[1] (numeric) = 1.9531805707943962077622675991188 absolute error = 0.0015629676395726358353628091073 relative error = 0.079957682879709021122865855969098 % h = 0.001 y1[1] (analytic) = 0.70256971267440725283414093426342 y1[1] (numeric) = 0.70264806872202449444950081152537 absolute error = 7.835604761724161535987726195e-05 relative error = 0.011152779034406547924069068373572 % h = 0.001 TOP MAIN SOLVE Loop memory used=1129.1MB, alloc=4.4MB, time=134.93 NO POLE NO POLE x[1] = 0.303 y2[1] (analytic) = 1.9544456308244855269211645888734 y2[1] (numeric) = 1.9528590558000523207189018794505 absolute error = 0.0015865750244332062022627094229 relative error = 0.081177751860199221151799980517187 % h = 0.001 y1[1] (analytic) = 0.7016151180102284689748235944506 y1[1] (numeric) = 0.70169504880930407321554899913965 absolute error = 7.993079907560424072540468905e-05 relative error = 0.011392399767879427684974608343493 % h = 0.001 TOP MAIN SOLVE Loop memory used=1132.9MB, alloc=4.4MB, time=135.57 NO POLE NO POLE x[1] = 0.304 y2[1] (analytic) = 1.9541467687694509228924226510006 y2[1] (numeric) = 1.9525363472501026781187322711193 absolute error = 0.0016104215193482447736903798813 relative error = 0.082410469115497708538604907125291 % h = 0.001 y1[1] (analytic) = 0.70066082173090680948103364573289 y1[1] (numeric) = 0.70074235100827626161583388412062 absolute error = 8.152927736945213480023838773e-05 relative error = 0.011636054827219091462964435416092 % h = 0.001 TOP MAIN SOLVE Loop memory used=1136.7MB, alloc=4.4MB, time=136.22 memory used=1140.6MB, alloc=4.4MB, time=136.88 NO POLE NO POLE x[1] = 0.305 y2[1] (analytic) = 1.9538469525677270616408382006383 y2[1] (numeric) = 1.9522124441902510801648333539671 absolute error = 0.0016345083774759814760048466712 relative error = 0.083655906381404445685400273665073 % h = 0.001 y1[1] (analytic) = 0.69970682479073847414974328925156 y1[1] (numeric) = 0.69978997651297383841098037201228 absolute error = 8.315172223536426123708276072e-05 relative error = 0.011883794653601166639773706792411 % h = 0.001 TOP MAIN SOLVE Loop memory used=1144.4MB, alloc=4.4MB, time=137.52 NO POLE NO POLE x[1] = 0.306 y2[1] (analytic) = 1.9535461825191301199055898452054 y2[1] (numeric) = 1.951887345666500666188659091357 absolute error = 0.0016588368526294537169307538484 relative error = 0.084914135507682554670874238891852 % h = 0.001 y1[1] (analytic) = 0.69875312814372032364954549226047 y1[1] (numeric) = 0.69883792651838372897135832287645 absolute error = 8.479837466340532181283061598e-05 relative error = 0.01213567013126328322112896545931 % h = 0.001 TOP MAIN SOLVE Loop memory used=1148.2MB, alloc=4.4MB, time=138.18 memory used=1152.0MB, alloc=4.4MB, time=138.84 NO POLE NO POLE x[1] = 0.307 y2[1] (analytic) = 1.9532444589244301212194494390108 y2[1] (numeric) = 1.9515610507251548686468239989839 absolute error = 0.0016834081992752525726254400269 relative error = 0.086185228458409907886404553688874 % h = 0.001 y1[1] (analytic) = 0.69779973274354892552387281926885 y1[1] (numeric) = 0.69788620222044670546093079664504 absolute error = 8.646947689777993705797737619e-05 relative error = 0.01239173259035320789269298921478 % h = 0.001 TOP MAIN SOLVE Loop memory used=1155.8MB, alloc=4.4MB, time=139.49 NO POLE NO POLE x[1] = 0.308 y2[1] (analytic) = 1.9529417820853506351387836146492 y2[1] (numeric) = 1.9512335584128183668175912135485 absolute error = 0.0017082236725322683211924011007 relative error = 0.087469257312331533420239416364524 % h = 0.001 y1[1] (analytic) = 0.69684663954361960049450936332003 y1[1] (numeric) = 0.6969348048160570860672555843664 absolute error = 8.816527243748557274622104637e-05 relative error = 0.012652033809795936619991091477489 % h = 0.001 TOP MAIN SOLVE Loop memory used=1159.6MB, alloc=4.4MB, time=140.14 memory used=1163.4MB, alloc=4.4MB, time=140.80 NO POLE NO POLE x[1] = 0.309 y2[1] (analytic) = 1.9526381523045684755200093702652 y2[1] (numeric) = 1.9509048677763980401961137648869 absolute error = 0.0017332845281704353238956053783 relative error = 0.088766294263212837945334405407018 % h = 0.001 y1[1] (analytic) = 0.6958938494970254690663494738148 y1[1] (numeric) = 0.69598373550306243327794079531909 absolute error = 8.988600603696421159132150429e-05 relative error = 0.012916626020179880987420008474542 % h = 0.001 TOP MAIN SOLVE Loop memory used=1167.3MB, alloc=4.4MB, time=141.44 NO POLE NO POLE x[1] = 0.31 y2[1] (analytic) = 1.9523335698857133978428054362022 y2[1] (numeric) = 1.9505749778631039215874756563933 absolute error = 0.0017585920226094762553297798089 relative error = 0.090076411620193649874884213535951 % h = 0.001 y1[1] (analytic) = 0.69494136355655649843435667604104 y1[1] (numeric) = 0.69503299548026325120385622351233 absolute error = 9.163192370675276949954747129e-05 relative error = 0.013185561906662284520389594864482 % h = 0.001 TOP MAIN SOLVE Loop memory used=1171.1MB, alloc=4.4MB, time=142.09 memory used=1174.9MB, alloc=4.4MB, time=142.78 NO POLE NO POLE x[1] = 0.311 y2[1] (analytic) = 1.9520280351333677955803820978034 y2[1] (numeric) = 1.950243887720450149896579660775 absolute error = 0.0017841474129176456838024370284 relative error = 0.091399681808143085558063364293972 % h = 0.001 y1[1] (analytic) = 0.69398918267469854969367587537158 y1[1] (numeric) = 0.69408258594741268194940317033659 absolute error = 9.340327271413225572729496501e-05 relative error = 0.013458894611894006292456273204909 % h = 0.001 TOP MAIN SOLVE Loop memory used=1178.7MB, alloc=4.4MB, time=143.41 NO POLE NO POLE x[1] = 0.312 y2[1] (analytic) = 1.9517215483530663956171131040662 y2[1] (numeric) = 1.9499115963962559226139290413302 absolute error = 0.001809951956810473003184062736 relative error = 0.092736177368015241296998701668996 % h = 0.001 y1[1] (analytic) = 0.69303730780363242535385163593833 y1[1] (numeric) = 0.69313250810521620103014635306915 absolute error = 9.520030158377567629471713082e-05 relative error = 0.013736677738963810186056785287389 % h = 0.001 TOP MAIN SOLVE Loop memory used=1182.5MB, alloc=4.4MB, time=144.06 memory used=1186.3MB, alloc=4.4MB, time=144.72 NO POLE NO POLE x[1] = 0.313 y2[1] (analytic) = 1.9514141098512959527138342444951 y2[1] (numeric) = 1.9495781029386464479963507130473 absolute error = 0.0018360069126495047174835314478 relative error = 0.09408597095720571397453833170291 % h = 0.001 y1[1] (analytic) = 0.69208573989523291715810501948532 y1[1] (numeric) = 0.69218276315533131183811248157739 absolute error = 9.702326009839468000746209207e-05 relative error = 0.014018965354362299251223323622024 % h = 0.001 TOP MAIN SOLVE Loop memory used=1190.2MB, alloc=4.4MB, time=145.37 NO POLE NO POLE x[1] = 0.314 y2[1] (analytic) = 1.9511057199354949430211141288279 y2[1] (numeric) = 1.9492434063960538969417076628815 absolute error = 0.0018623135394410460794064659464 relative error = 0.095449135349908953090956988872778 % h = 0.001 y1[1] (analytic) = 0.69113447990106785420862116504429 y1[1] (numeric) = 0.6912333523003672391550610378957 absolute error = 9.887239929938494643987285141e-05 relative error = 0.014305811990965635691539442407443 % h = 0.001 TOP MAIN SOLVE Loop memory used=1194.0MB, alloc=4.4MB, time=146.01 NO POLE NO POLE x[1] = 0.315 y2[1] (analytic) = 1.9507963789140532566408036563392 y2[1] (numeric) = 1.9489075058172183545566487545751 absolute error = 0.0018888730968349020841549017641 relative error = 0.096825743437476447016346627217749 % h = 0.001 y1[1] (analytic) = 0.69018352877239715139879948406602 y1[1] (numeric) = 0.69028427674388462171403374537977 absolute error = 0.00010074797148747031523426131375 relative error = 0.014597272651039188100663944698907 % h = 0.001 TOP MAIN SOLVE Loop memory used=1197.8MB, alloc=4.4MB, time=146.66 memory used=1201.6MB, alloc=4.4MB, time=147.32 NO POLE NO POLE x[1] = 0.316 y2[1] (analytic) = 1.9504860870963118892361716131461 y2[1] (numeric) = 1.9485704002511887714164443503517 absolute error = 0.0019156868451231178197272627944 relative error = 0.098215868228775746274083524453678 % h = 0.001 y1[1] (analytic) = 0.68923288746017185815341803867781 y1[1] (numeric) = 0.68933553769039520380949016586311 absolute error = 0.0001026502302233456560721271853 relative error = 0.014893402809261248676091733665471 % h = 0.001 TOP MAIN SOLVE Loop memory used=1205.4MB, alloc=4.4MB, time=147.99 NO POLE NO POLE x[1] = 0.317 y2[1] (analytic) = 1.9501748447925626326909347873552 y2[1] (numeric) = 1.948232088747323914515956489728 absolute error = 0.0019427560452387181749782976272 relative error = 0.099619582850550326679439465616051 % h = 0.001 y1[1] (analytic) = 0.6882825569150332074776633628236 y1[1] (numeric) = 0.68838713634536152595633781465451 absolute error = 0.00010457943032831847867445183091 relative error = 0.015194258415766964249521758704313 % h = 0.001 TOP MAIN SOLVE Loop memory used=1209.2MB, alloc=4.4MB, time=148.65 memory used=1213.0MB, alloc=4.4MB, time=149.30 NO POLE NO POLE x[1] = 0.318 y2[1] (analytic) = 1.9498626523140477648174919429938 y2[1] (numeric) = 1.9478925703552933179107926745513 absolute error = 0.0019700819587544469066992684425 relative error = 0.10103696054778029516611477011737 % h = 0.001 y1[1] (analytic) = 0.68733253808731166531597667717754 y1[1] (numeric) = 0.68743907391519661459816613432062 absolute error = 0.00010653582788494928218945714308 relative error = 0.015499895899212626095348889378145 % h = 0.001 TOP MAIN SOLVE Loop memory used=1216.9MB, alloc=4.4MB, time=149.96 NO POLE NO POLE x[1] = 0.319 y2[1] (analytic) = 1.9495495099729597381146719444671 y2[1] (numeric) = 1.9475518441250782330476926191894 absolute error = 0.0019976658478815050669793252777 relative error = 0.10246807468404394114221517246216 % h = 0.001 y1[1] (analytic) = 0.6863828319270259802216671389056 y1[1] (numeric) = 0.68649135160726367086499461899368 absolute error = 0.00010851968023769064332748008808 relative error = 0.015810372169860464610475877674295 % h = 0.001 TOP MAIN SOLVE Loop memory used=1220.7MB, alloc=4.4MB, time=150.60 memory used=1224.5MB, alloc=4.4MB, time=151.25 NO POLE NO POLE x[1] = 0.32 y2[1] (analytic) = 1.9492354180824408675753072737661 y2[1] (numeric) = 1.9472099091069725787831976355643 absolute error = 0.0020255089754682887921096382018 relative error = 0.10391299874188013622597299251639 % h = 0.001 y1[1] (analytic) = 0.68543343938388223333824245658285 y1[1] (numeric) = 0.6855439706298757583808463314305 absolute error = 0.00011053124599352504260387484765 relative error = 0.016125744622684096099941456204858 % h = 0.001 TOP MAIN SOLVE Loop memory used=1228.3MB, alloc=4.4MB, time=151.90 NO POLE NO POLE x[1] = 0.321 y2[1] (analytic) = 1.9489203769565830175439451328269 y2[1] (numeric) = 1.9468667643515838910896526344402 absolute error = 0.0020536126049991264542924983867 relative error = 0.10537180632315158522032576724671 % h = 0.001 y1[1] (analytic) = 0.68448436140727288869340688885654 y1[1] (numeric) = 0.68459693219229549012145900522302 absolute error = 0.00011257078502260142805211636648 relative error = 0.016446071140494770053869877789393 % h = 0.001 TOP MAIN SOLVE Loop memory used=1232.1MB, alloc=4.4MB, time=152.55 memory used=1235.9MB, alloc=4.4MB, time=153.21 NO POLE NO POLE x[1] = 0.322 y2[1] (analytic) = 1.9486043869104272876250092733052 y2[1] (numeric) = 1.9465224089098342724475910370424 absolute error = 0.0020819780005930151774182362628 relative error = 0.10684457114940893119431269392026 % h = 0.001 y1[1] (analytic) = 0.68353559894627584380667633277783 y1[1] (numeric) = 0.68365023750473471432244687442334 absolute error = 0.00011463855845887051577054164551 relative error = 0.016771410097088566462055528355707 % h = 0.001 TOP MAIN SOLVE Loop memory used=1239.7MB, alloc=4.4MB, time=153.86 NO POLE NO POLE x[1] = 0.323 y2[1] (analytic) = 1.948287448259963697641726645576 y2[1] (numeric) = 1.946176841832961340923553204702 absolute error = 0.002110606427002356718173440874 relative error = 0.1083313670622557175481309866301 % h = 0.001 y1[1] (analytic) = 0.68258715294965348061155989410811 y1[1] (numeric) = 0.68270388777835419943822732239514 absolute error = 0.00011673482870071882666742828703 relative error = 0.017101820360414693883194234170143 % h = 0.001 TOP MAIN SOLVE Loop memory used=1243.6MB, alloc=4.4MB, time=154.50 memory used=1247.4MB, alloc=4.4MB, time=155.16 NO POLE NO POLE x[1] = 0.324 y2[1] (analytic) = 1.9479695613221308716461339080079 y2[1] (numeric) = 1.9458300621725191789323893087862 absolute error = 0.0021394991496116927137445992217 relative error = 0.10983226802371420994761070730148 % h = 0.001 y1[1] (analytic) = 0.68163902436585171669325701733906 y1[1] (numeric) = 0.68175788422526331815202739093872 absolute error = 0.00011885985941160145877037359966 relative error = 0.017437361295765040166452036064955 % h = 0.001 TOP MAIN SOLVE Loop memory used=1251.2MB, alloc=4.4MB, time=155.81 NO POLE NO POLE x[1] = 0.325 y2[1] (analytic) = 1.9476507264148157209804797864775 y2[1] (numeric) = 1.9454820689803792816830978786909 absolute error = 0.0021686574344364392973819077866 relative error = 0.11134734811659208102281793132863 % h = 0.001 y1[1] (analytic) = 0.68069121414299905684281893765035 y1[1] (numeric) = 0.68081222805851973043728613965663 absolute error = 0.00012101391552067359446720200628 relative error = 0.017778092768985128913814932616834 % h = 0.001 TOP MAIN SOLVE Loop memory used=1255.0MB, alloc=4.4MB, time=156.45 NO POLE NO POLE memory used=1258.8MB, alloc=4.4MB, time=157.10 x[1] = 0.326 y2[1] (analytic) = 1.9473309438568531263903402226954 y2[1] (numeric) = 1.9451328613087315053072515821361 absolute error = 0.0021980825481216210830886405593 relative error = 0.11287668154484996073448238164331 % h = 0.001 y1[1] (analytic) = 0.67974372322890564492872290056454 y1[1] (numeric) = 0.6798669204921290656707697941313 absolute error = 0.00012319726322342074204689356676 relative error = 0.018124075149706635972582742208768 % h = 0.001 TOP MAIN SOLVE Loop memory used=1262.6MB, alloc=4.4MB, time=157.78 NO POLE NO POLE x[1] = 0.327 y2[1] (analytic) = 1.9470102139680256191897641982033 y2[1] (numeric) = 1.9447824382100850146690621094172 absolute error = 0.0022277757579406045207020887861 relative error = 0.11442034263396985532096704744275 % h = 0.001 y1[1] (analytic) = 0.67879655257106231608680727764583 y1[1] (numeric) = 0.67892196274104460379771756977291 absolute error = 0.00012541016998228771091029212708 relative error = 0.018475369314601621458551076474564 % h = 0.001 TOP MAIN SOLVE Loop memory used=1266.4MB, alloc=4.4MB, time=158.42 NO POLE NO POLE x[1] = 0.328 y2[1] (analytic) = 1.9466885370690630614787690688678 y2[1] (numeric) = 1.9444307987372692308561363516265 absolute error = 0.0022577383317938306226327172413 relative error = 0.11597840583132443774755393004424 % h = 0.001 y1[1] (analytic) = 0.67784970311663964922951538822866 y1[1] (numeric) = 0.67797735602116695554933700616515 absolute error = 0.00012765290452730631982161793649 relative error = 0.018832036650658634031962676472074 % h = 0.001 TOP MAIN SOLVE Loop memory used=1270.3MB, alloc=4.4MB, time=159.06 memory used=1274.1MB, alloc=4.4MB, time=159.73 NO POLE NO POLE x[1] = 0.329 y2[1] (analytic) = 1.9463659134816423254135051923513 y2[1] (numeric) = 1.9440779419434347783499763821673 absolute error = 0.002287971538207547063528810184 relative error = 0.1175509457065472125889120648564 % h = 0.001 y1[1] (analytic) = 0.67690317581248701987539551785335 y1[1] (numeric) = 0.67703310154934374171296859438689 absolute error = 0.00012992573685672183757307653354 relative error = 0.019194139058480845380299215351609 % h = 0.001 TOP MAIN SOLVE Loop memory used=1277.9MB, alloc=4.4MB, time=160.36 NO POLE NO POLE x[1] = 0.33 y2[1] (analytic) = 1.9460423435283869715294105783662 y2[1] (numeric) = 1.9437238668820544318752760711396 absolute error = 0.0023184766463325396541345072266 relative error = 0.11913803695190355828474149072803 % h = 0.001 y1[1] (analytic) = 0.67595697160513165329980430382978 y1[1] (numeric) = 0.67608920054336927145524042711844 absolute error = 0.00013222893823761815543612328866 relative error = 0.01956173895560637410452426055017 % h = 0.001 TOP MAIN SOLVE Loop memory used=1281.7MB, alloc=4.4MB, time=161.00 memory used=1285.5MB, alloc=4.4MB, time=161.67 NO POLE NO POLE x[1] = 0.331 y2[1] (analytic) = 1.9457178275328669261176772385331 y2[1] (numeric) = 1.9433685726069240629270674833803 absolute error = 0.0023492549259428631906097551528 relative error = 0.12073975438266264971775001399161 % h = 0.001 y1[1] (analytic) = 0.67501109144077767800776033714693 y1[1] (numeric) = 0.67514565422198421969853454835082 absolute error = 0.00013456278120654169077421120389 relative error = 0.019934899279850959458575534358702 % h = 0.001 TOP MAIN SOLVE Loop memory used=1289.3MB, alloc=4.4MB, time=162.31 NO POLE NO POLE x[1] = 0.332 y2[1] (analytic) = 1.9453923658195981576553518593481 y2[1] (numeric) = 1.9430120581721635859747705330898 absolute error = 0.0023803076474345716805813262583 relative error = 0.12235617293747026407231858120135 % h = 0.001 y1[1] (analytic) = 0.67406553626530517952989450779567 y1[1] (numeric) = 0.67420246380487530355108762620496 absolute error = 0.00013692753957012402119311840929 relative error = 0.020313683492673146655839021046037 % h = 0.001 TOP MAIN SOLVE Loop memory used=1293.1MB, alloc=4.4MB, time=162.95 memory used=1297.0MB, alloc=4.4MB, time=163.62 NO POLE NO POLE x[1] = 0.333 y2[1] (analytic) = 1.9450659587140423522893943681328 y2[1] (numeric) = 1.9426543226322179043421996910741 absolute error = 0.0024116360818244479471946770587 relative error = 0.12398736767872247294144597075396 % h = 0.001 y1[1] (analytic) = 0.67312030702426925454244329747574 y1[1] (numeric) = 0.67325963051267495779104951873312 absolute error = 0.00013932348840570324860622125738 relative error = 0.0206981555825621467311189458177 % h = 0.001 TOP MAIN SOLVE Loop memory used=1300.8MB, alloc=4.4MB, time=164.27 NO POLE NO POLE x[1] = 0.334 y2[1] (analytic) = 1.9447386065426065883750189078808 y2[1] (numeric) = 1.9422953650418578557625818646749 absolute error = 0.0024432415007487326124370432059 relative error = 0.12563341379294022365883447768021 % h = 0.001 y1[1] (analytic) = 0.67217540466289906531223089961467 y1[1] (numeric) = 0.67231715556696100940482424861686 absolute error = 0.00014175090406194409259334900219 relative error = 0.021088380068448535232347309055464 % h = 0.001 TOP MAIN SOLVE Loop memory used=1304.6MB, alloc=4.4MB, time=164.91 memory used=1308.4MB, alloc=4.4MB, time=165.57 NO POLE NO POLE x[1] = 0.335 y2[1] (analytic) = 1.9444103096326430100686426826321 y2[1] (numeric) = 1.9419351844561811576076398954485 absolute error = 0.0024751251764618524610027871836 relative error = 0.12729438659114481284228543783037 % h = 0.001 y1[1] (analytic) = 0.67123083012609689446758572163781 y1[1] (numeric) = 0.67137504019025635118001884839359 absolute error = 0.00014421006415945671243312675578 relative error = 0.021484422003137955313056630895819 % h = 0.001 TOP MAIN SOLVE Loop memory used=1312.2MB, alloc=4.4MB, time=166.24 NO POLE NO POLE x[1] = 0.336 y2[1] (analytic) = 1.9440810683124484999757690804005 y2[1] (numeric) = 1.9415737799306133517897964455887 absolute error = 0.0025072883818351481859726348118 relative error = 0.12897036150923425514391695751657 % h = 0.001 y1[1] (analytic) = 0.67028658435843720009613649849422 y1[1] (numeric) = 0.67043328560602861435332648323559 absolute error = 0.00014670124759141425718998474137 relative error = 0.021886346976767992104573009377491 % h = 0.001 TOP MAIN SOLVE Loop memory used=1316.0MB, alloc=4.4MB, time=166.88 memory used=1319.9MB, alloc=4.4MB, time=167.55 NO POLE NO POLE x[1] = 0.337 y2[1] (analytic) = 1.943750882911264350854132425743 y2[1] (numeric) = 1.9412111505209087493365533709686 absolute error = 0.0025397323903556015175790547744 relative error = 0.13066141410836055021209622298808 % h = 0.001 y1[1] (analytic) = 0.66934266830416567117043291956346 y1[1] (numeric) = 0.66949189303868984031367120337104 absolute error = 0.00014922473452416914323828380758 relative error = 0.022294221120288386566077725004224 % h = 0.001 TOP MAIN SOLVE Loop memory used=1323.7MB, alloc=4.4MB, time=168.19 NO POLE NO POLE x[1] = 0.338 y2[1] (analytic) = 1.9434197537592759363724326587988 y2[1] (numeric) = 1.9408472952831513746361020065006 absolute error = 0.0025724584761245617363306522982 relative error = 0.13236762007530785087939540263172 % h = 0.001 y1[1] (analytic) = 0.66839908290719828330233534324402 y1[1] (numeric) = 0.66855086371359615136094262297508 absolute error = 0.00015178080639786805860727973106 relative error = 0.022708111108964758341239693481155 % h = 0.001 TOP MAIN SOLVE Loop memory used=1327.5MB, alloc=4.4MB, time=168.83 NO POLE NO POLE x[1] = 0.339 y2[1] (analytic) = 1.9430876811876123809249891820363 y2[1] (numeric) = 1.9404822132737559093532201182831 absolute error = 0.0026054679138564715717690637532 relative error = 0.13408905522287153560033356548316 % h = 0.001 y1[1] (analytic) = 0.66745582911112035482711784475499 y1[1] (numeric) = 0.66761019885704742052064976676866 absolute error = 0.00015436974592706569353192201367 relative error = 0.023128084165906008492144399032598 % h = 0.001 TOP MAIN SOLVE Loop memory used=1331.3MB, alloc=4.4MB, time=169.47 memory used=1335.1MB, alloc=4.4MB, time=170.13 NO POLE NO POLE x[1] = 0.34 y2[1] (analytic) = 1.9427546655283462285026440600266 y2[1] (numeric) = 1.9401159035494686360145116067154 absolute error = 0.0026387619788775924881324533112 relative error = 0.13582579549023818817215736515868 % h = 0.001 y1[1] (analytic) = 0.66651290785918560321822851296921 y1[1] (numeric) = 0.66666989969628694041482426964391 absolute error = 0.0001569918371013371965957566747 relative error = 0.023554208065615574334844931770538 % h = 0.001 TOP MAIN SOLVE Loop memory used=1338.9MB, alloc=4.4MB, time=170.77 NO POLE NO POLE x[1] = 0.341 y2[1] (analytic) = 1.9424207071144931106202457013121 y2[1] (numeric) = 1.9397483651673683812620453754201 absolute error = 0.002672341947124729358200325892 relative error = 0.13757791694336648778144062205188 % h = 0.001 y1[1] (analytic) = 0.66557032009431520183365058143904 y1[1] (numeric) = 0.66572996745950109118950405838515 absolute error = 0.00015964736518588935585347694611 relative error = 0.023986551137566709966145890350225 % h = 0.001 TOP MAIN SOLVE Loop memory used=1342.7MB, alloc=4.4MB, time=171.41 memory used=1346.6MB, alloc=4.4MB, time=172.09 NO POLE NO POLE x[1] = 0.342 y2[1] (analytic) = 1.9420858062800114133010450948604 y2[1] (numeric) = 1.9393795971848674587744501124121 absolute error = 0.0027062090951439545265949824483 relative error = 0.1393454957753690124288475228521 % h = 0.001 y1[1] (analytic) = 0.66462806675909683699480764717492 y1[1] (numeric) = 0.66479040337581900749912958797428 absolute error = 0.00016233661672217050432194079936 relative error = 0.024425182269801967448310781979183 % h = 0.001 TOP MAIN SOLVE Loop memory used=1350.4MB, alloc=4.4MB, time=172.73 NO POLE NO POLE x[1] = 0.343 y2[1] (analytic) = 1.9417499633598019431183376166772 y2[1] (numeric) = 1.9390095986597126118545220624991 absolute error = 0.0027403647000893312638155541781 relative error = 0.14112860830689495879400608912848 % h = 0.001 y1[1] (analytic) = 0.66368614879578376539895589819304 y1[1] (numeric) = 0.6638512086753122445481856480565 absolute error = 0.00016505987952847914922974986346 relative error = 0.024870170912557055007368853448317 % h = 0.001 TOP MAIN SOLVE Loop memory used=1354.2MB, alloc=4.4MB, time=173.37 memory used=1358.0MB, alloc=4.4MB, time=174.03 NO POLE NO POLE x[1] = 0.344 y2[1] (analytic) = 1.9414131786897075922946843649114 y2[1] (numeric) = 1.9386383686499859556824032033828 absolute error = 0.0027748100397216366122811615286 relative error = 0.14292733098651378161207799234856 % h = 0.001 y1[1] (analytic) = 0.66274456714629387186600593736127 y1[1] (numeric) = 0.66291238458899444319042269789671 absolute error = 0.00016781744270057132441676053544 relative error = 0.025321587081909250001699841221332 % h = 0.001 TOP MAIN SOLVE Loop memory used=1361.8MB, alloc=4.4MB, time=174.67 NO POLE NO POLE x[1] = 0.345 y2[1] (analytic) = 1.9410754526065130028590479241997 y2[1] (numeric) = 1.9382659062141059192333875723628 absolute error = 0.0028095463924070836256603518369 relative error = 0.14474174039109975564328785565688 % h = 0.001 y1[1] (analytic) = 0.66180332275220872742071645564298 y1[1] (numeric) = 0.66197393234882099408599263057743 absolute error = 0.00017060959661226666527617493445 relative error = 0.02577950136345054583070789360038 % h = 0.001 TOP MAIN SOLVE Loop memory used=1365.6MB, alloc=4.4MB, time=175.31 memory used=1369.4MB, alloc=4.4MB, time=175.97 NO POLE NO POLE x[1] = 0.346 y2[1] (analytic) = 1.9407367854479442298621784020909 y2[1] (numeric) = 1.9378922104108281868594138259141 absolute error = 0.0028445750371160430027645761768 relative error = 0.1465719132262174633263900315813 % h = 0.001 y1[1] (analytic) = 0.66086241655477264771120167246664 y1[1] (numeric) = 0.66103585318768870091683480927438 absolute error = 0.00017343663291605320563313680774 relative error = 0.026243984915985713378773000134171 % h = 0.001 TOP MAIN SOLVE Loop memory used=1373.3MB, alloc=4.4MB, time=176.60 NO POLE NO POLE x[1] = 0.347 y2[1] (analytic) = 1.9403971775526684036505865221322 y2[1] (numeric) = 1.9375172802992466395333024507247 absolute error = 0.0028798972534217641172840714075 relative error = 0.14841792632650821121680362482798 % h = 0.001 y1[1] (analytic) = 0.65992184949489175176469412463536 y1[1] (numeric) = 0.66009814833943544266064916019569 absolute error = 0.00017629884454369089595503556033 relative error = 0.026715109475255459027404930622172 % h = 0.001 TOP MAIN SOLVE Loop memory used=1377.1MB, alloc=4.4MB, time=177.26 memory used=1380.9MB, alloc=4.4MB, time=177.92 NO POLE NO POLE x[1] = 0.348 y2[1] (analytic) = 1.9400566292602933911994414996184 y2[1] (numeric) = 1.9371411149387942957547963820347 absolute error = 0.0029155143214990954446451175837 relative error = 0.15027985665607737831993739025789 % h = 0.001 y1[1] (analytic) = 0.65898162251313302108150404793491 y1[1] (numeric) = 0.65916081903883983492379404818352 absolute error = 0.00017919652570681384229000024861 relative error = 0.027192947357684862718737379907132 % h = 0.001 TOP MAIN SOLVE Loop memory used=1384.7MB, alloc=4.4MB, time=178.56 NO POLE NO POLE x[1] = 0.349 y2[1] (analytic) = 1.9397151409113674565047323670778 y2[1] (numeric) = 1.9367637133892442521174641233139 absolute error = 0.0029514275221232043872682437639 relative error = 0.15215778130888269944005522546448 % h = 0.001 y1[1] (analytic) = 0.65804173654972335906811625740272 y1[1] (numeric) = 0.6582238665216208903334476020519 absolute error = 0.00018212997189753126533134464918 relative error = 0.02767757146415728101630636344816 % h = 0.001 TOP MAIN SOLVE Loop memory used=1388.5MB, alloc=4.4MB, time=179.21 NO POLE NO POLE memory used=1392.3MB, alloc=4.4MB, time=179.85 x[1] = 0.35 y2[1] (analytic) = 1.9393727128473789200350323573037 y2[1] (numeric) = 1.9363850747107106235355248004543 absolute error = 0.0029876381366682964995075568494 relative error = 0.15405177750912348667490044468658 % h = 0.001 y1[1] (analytic) = 0.65710219254454865081036509308237 y1[1] (numeric) = 0.65728729202443767798937209747127 absolute error = 0.0001850994798890271790070043889 relative error = 0.028169055283813901584575741034472 % h = 0.001 TOP MAIN SOLVE Loop memory used=1396.1MB, alloc=4.4MB, time=180.50 NO POLE NO POLE x[1] = 0.351 y2[1] (analytic) = 1.9390293454107558172432068921403 y2[1] (numeric) = 1.9360051979636494831296549237295 absolute error = 0.0030241474471063341135519684108 relative error = 0.15596192261163079219620301663794 % h = 0.001 y1[1] (analytic) = 0.65616299143715282318762765801042 y1[1] (numeric) = 0.65635109678488898197562194560688 absolute error = 0.00018810534773615878799428759646 relative error = 0.028667472897879136997024102802593 % h = 0.001 TOP MAIN SOLVE Loop memory used=1400.0MB, alloc=4.4MB, time=181.15 NO POLE NO POLE x[1] = 0.352 y2[1] (analytic) = 1.9386850389448655561384066652863 y2[1] (numeric) = 1.9356240822088598017708369717936 absolute error = 0.0030609567360057543675696934927 relative error = 0.15788829410225851546613862293805 % h = 0.001 y1[1] (analytic) = 0.65522413416673690532897523416392 y1[1] (numeric) = 0.65541528204151295893253677577464 absolute error = 0.00019114787477605360356154161072 relative error = 0.029172898983512047283912400887428 % h = 0.001 TOP MAIN SOLVE Loop memory used=1403.8MB, alloc=4.4MB, time=181.79 memory used=1407.6MB, alloc=4.4MB, time=182.44 NO POLE NO POLE x[1] = 0.353 y2[1] (analytic) = 1.9383397937940145739186882470937 y2[1] (numeric) = 1.9352417265074843872813102539492 absolute error = 0.0030980672865301866373779931445 relative error = 0.15983096959827545804979189827668 % h = 0.001 y1[1] (analytic) = 0.65428562167215808941222242013895 y1[1] (numeric) = 0.65447984903378679468936204009282 absolute error = 0.00019422736162870527713961995387 relative error = 0.029685408817683982145233158771665 % h = 0.001 TOP MAIN SOLVE Loop memory used=1411.4MB, alloc=4.4MB, time=183.09 NO POLE NO POLE x[1] = 0.354 y2[1] (analytic) = 1.9379936103034479926646055787134 y2[1] (numeric) = 1.9348581299210108232916848498111 absolute error = 0.0031354803824371693729207289023 relative error = 0.16179002684875832919369870013092 % h = 0.001 y1[1] (analytic) = 0.65334745489192879180681319143277 y1[1] (numeric) = 0.65354479900212635995784050748031 absolute error = 0.00019734411019756815102731604754 relative error = 0.03020507828108263528192359970605 % h = 0.001 TOP MAIN SOLVE Loop memory used=1415.2MB, alloc=4.4MB, time=183.73 memory used=1419.0MB, alloc=4.4MB, time=184.39 NO POLE NO POLE x[1] = 0.355 y2[1] (analytic) = 1.937646488819349274094116661967 y2[1] (numeric) = 1.9344732915112724077532797693307 absolute error = 0.0031731973080768663408368926363 relative error = 0.16376554373498570535060387714493 % h = 0.001 y1[1] (analytic) = 0.65240963476421571456148274036527 y1[1] (numeric) = 0.65261013318788586508711895338135 absolute error = 0.00020049842367015052563621301608 relative error = 0.030731983862042704839331633651195 % h = 0.001 TOP MAIN SOLVE Loop memory used=1422.9MB, alloc=4.4MB, time=185.04 NO POLE NO POLE x[1] = 0.356 y2[1] (analytic) = 1.9372984296888398733791506900099 y2[1] (numeric) = 1.9340872103404490911047468209214 absolute error = 0.0032112193483907822744038690885 relative error = 0.16575759827083294684067191507813 % h = 0.001 y1[1] (analytic) = 0.65147216222683890723763360789966 y1[1] (numeric) = 0.65167585283335751388031529028119 absolute error = 0.00020369060651860664268168238153 relative error = 0.031266202660503355511281638424715 % h = 0.001 TOP MAIN SOLVE Loop memory used=1426.7MB, alloc=4.4MB, time=185.68 memory used=1430.5MB, alloc=4.4MB, time=186.34 NO POLE NO POLE x[1] = 0.357 y2[1] (analytic) = 1.9369494332599788920241818021889 y2[1] (numeric) = 1.9336998854710684140920420211384 absolute error = 0.0032495477889104779321397810505 relative error = 0.16776626860316807484952819134309 % h = 0.001 y1[1] (analytic) = 0.65053503821727082908936427390812 y1[1] (numeric) = 0.65074195918177115647309232241673 absolute error = 0.00020692096450032738372804850861 relative error = 0.031807812391992679421023970091288 % h = 0.001 TOP MAIN SOLVE Loop memory used=1434.3MB, alloc=4.4MB, time=187.00 NO POLE NO POLE x[1] = 0.358 y2[1] (analytic) = 1.9365994998817627298071565844923 y2[1] (numeric) = 1.9333113159660064452408067260203 absolute error = 0.003288183915756284566349858472 relative error = 0.16979163301224861197368851849635 % h = 0.001 y1[1] (analytic) = 0.64959826367263541159108802577568 y1[1] (numeric) = 0.6498084534772939412745852460795 absolute error = 0.00021018980465852968349722030382 relative error = 0.032356891391639354476997054665259 % h = 0.001 TOP MAIN SOLVE Loop memory used=1438.1MB, alloc=4.4MB, time=187.64 memory used=1441.9MB, alloc=4.4MB, time=188.29 NO POLE NO POLE x[1] = 0.359 y2[1] (analytic) = 1.9362486299041247357831233746356 y2[1] (numeric) = 1.9329215008884887179802210117895 absolute error = 0.0033271290156360178029023628461 relative error = 0.17183376991211938953415435910381 % h = 0.001 y1[1] (analytic) = 0.64866183952970712131367957764527 y1[1] (numeric) = 0.64887533696502996597103095455438 absolute error = 0.00021349743532284465735137690911 relative error = 0.032913518618211700496813986699375 % h = 0.001 TOP MAIN SOLVE Loop memory used=1445.7MB, alloc=4.4MB, time=188.93 NO POLE NO POLE x[1] = 0.36 y2[1] (analytic) = 1.9358968236779348583509123681247 y2[1] (numeric) = 1.9325304393020911674173921811359 absolute error = 0.0033663843758436909335201869888 relative error = 0.17389275785101132488921070548583 % h = 0.001 y1[1] (analytic) = 0.64772576672491002315008656407927 y1[1] (numeric) = 0.64794261089101992759244814403574 absolute error = 0.00021684416610990444236157995647 relative error = 0.033477773658184335002338367995129 % h = 0.001 TOP MAIN SOLVE Loop memory used=1449.6MB, alloc=4.4MB, time=189.57 memory used=1453.4MB, alloc=4.4MB, time=190.25 NO POLE NO POLE x[1] = 0.361 y2[1] (analytic) = 1.935544081554999294383216458587 y2[1] (numeric) = 1.9321381302707410667613416207733 absolute error = 0.0034059512842582276218748378137 relative error = 0.17596867551174117198776329473542 % h = 0.001 y1[1] (analytic) = 0.64679004619431684389134268244803 y1[1] (numeric) = 0.64701027650224077164271815381177 absolute error = 0.00022023030792392775137547136374 relative error = 0.034049736729832632212269592798763 % h = 0.001 TOP MAIN SOLVE Loop memory used=1457.2MB, alloc=4.4MB, time=190.89 NO POLE NO POLE x[1] = 0.362 y2[1] (analytic) = 1.9351904038880601374204236822605 y2[1] (numeric) = 1.9317445728587179633956535863602 absolute error = 0.0034458310293421740247700959003 relative error = 0.17806160171211224841489172984612 % h = 0.001 y1[1] (analytic) = 0.64585467887364803615391890795416 y1[1] (numeric) = 0.6460783350466053402934174106068 absolute error = 0.00022365617295730413949850265264 relative error = 0.034629488687355190396450224454311 % h = 0.001 TOP MAIN SOLVE Loop memory used=1461.0MB, alloc=4.4MB, time=191.53 NO POLE NO POLE x[1] = 0.363 y2[1] (analytic) = 1.9348357910307950249285530727796 y2[1] (numeric) = 1.9313497661306546145988498422136 absolute error = 0.003486024900140410329703230566 relative error = 0.18017161540531614219167536019668 % h = 0.001 y1[1] (analytic) = 0.64491966569827084265934885386328 y1[1] (numeric) = 0.64514678777296201964175328321996 absolute error = 0.00022712207469117698240442935668 relative error = 0.035217111025024514408273196524048 % h = 0.001 TOP MAIN SOLVE Loop memory used=1464.8MB, alloc=4.4MB, time=192.17 memory used=1468.6MB, alloc=4.4MB, time=192.83 NO POLE NO POLE x[1] = 0.364 y2[1] (analytic) = 1.9344802433378167846216466682912 y2[1] (numeric) = 1.9309537091515379229115544355197 absolute error = 0.0035265341862788617100922327715 relative error = 0.18229879568033540160176959779442 % h = 0.001 y1[1] (analytic) = 0.64398500760319836086706399723811 y1[1] (numeric) = 0.64421563593109438603295608949488 absolute error = 0.00023062832789602516589209225677 relative error = 0.03581268588136612187824139177258 % h = 0.001 TOP MAIN SOLVE Loop memory used=1472.4MB, alloc=4.4MB, time=193.47 NO POLE NO POLE x[1] = 0.365 y2[1] (analytic) = 1.9341237611646730798489713484808 y2[1] (numeric) = 1.9305564009867098711495132379544 absolute error = 0.0035673601779632086994581105264 relative error = 0.18444322176234721132767186990051 % h = 0.001 y1[1] (analytic) = 0.64305070552308860796137413726246 y1[1] (numeric) = 0.64328488077172085144748093319897 absolute error = 0.00023417524863224348610679593651 relative error = 0.036416296043366283233055203279605 % h = 0.001 TOP MAIN SOLVE Loop memory used=1476.3MB, alloc=4.4MB, time=194.11 memory used=1480.1MB, alloc=4.4MB, time=194.76 NO POLE NO POLE x[1] = 0.366 y2[1] (analytic) = 1.9337663448678460540473851142766 y2[1] (numeric) = 1.9301578407018684570615332417718 absolute error = 0.0036085041659775969858518725048 relative error = 0.18660497301312805819011879390337 % h = 0.001 y1[1] (analytic) = 0.64211676039224358619352809909695 y1[1] (numeric) = 0.64235452354649430795337398358085 absolute error = 0.0002377631542507217598458844839 relative error = 0.037028024950708607400714891322962 % h = 0.001 TOP MAIN SOLVE Loop memory used=1483.9MB, alloc=4.4MB, time=195.41 NO POLE NO POLE x[1] = 0.367 y2[1] (analytic) = 1.9334079948047519742592233578357 y2[1] (numeric) = 1.9297580273630686276314069524996 absolute error = 0.0036499674416833466278164053361 relative error = 0.18878412893145938979459956818833 % h = 0.001 y1[1] (analytic) = 0.64118317314460834857978934112779 y1[1] (numeric) = 0.64142456550800177122415874521009 absolute error = 0.0002413923633934226443694040823 relative error = 0.037647956700039686773165292629056 % h = 0.001 TOP MAIN SOLVE Loop memory used=1487.7MB, alloc=4.4MB, time=196.07 memory used=1491.5MB, alloc=4.4MB, time=196.74 NO POLE NO POLE x[1] = 0.368 y2[1] (analytic) = 1.9330487113337408737160616048967 y2[1] (numeric) = 1.9293569600367232130228875763949 absolute error = 0.0036917512970176606931740285018 relative error = 0.19098076915353426939955516517281 % h = 0.001 y1[1] (analytic) = 0.64024994471377006495646076745515 y1[1] (numeric) = 0.64049500790976402312259880018322 absolute error = 0.00024506319599395816613803272807 relative error = 0.038276176049264016724123552156996 % h = 0.001 TOP MAIN SOLVE Loop memory used=1495.3MB, alloc=4.4MB, time=197.37 NO POLE NO POLE x[1] = 0.369 y2[1] (analytic) = 1.9326884948140961934887121457059 y2[1] (numeric) = 1.9289546377896038601667810577627 absolute error = 0.0037338570244923333219310879432 relative error = 0.19319497345336503033145885229854 % h = 0.001 y1[1] (analytic) = 0.63931707603295708839279269051843 y1[1] (numeric) = 0.63956585200623525335069443890352 absolute error = 0.00024877597327816495790174838509 relative error = 0.038912768421868406721060347995973 % h = 0.001 TOP MAIN SOLVE Loop memory used=1499.1MB, alloc=4.4MB, time=198.01 memory used=1503.0MB, alloc=4.4MB, time=198.67 NO POLE NO POLE x[1] = 0.37 y2[1] (analytic) = 1.9323273456060344232038129044909 y2[1] (numeric) = 1.9285510596888419659892213791231 absolute error = 0.0037762859171924572145915253678 relative error = 0.19542682174319193328264101709946 % h = 0.001 y1[1] (analytic) = 0.63838456803503802196270753087285 y1[1] (numeric) = 0.63863709905280270016627152940808 absolute error = 0.00025253101776467820356399853523 relative error = 0.039557819911276101826997378478125 % h = 0.001 TOP MAIN SOLVE Loop memory used=1506.8MB, alloc=4.4MB, time=199.31 NO POLE NO POLE x[1] = 0.371 y2[1] (analytic) = 1.9319652640707047408273678308622 y2[1] (numeric) = 1.9281462248019296102801958960296 absolute error = 0.0038190392687751305471719348326 relative error = 0.19767639407389282983843039766 % h = 0.001 y1[1] (analytic) = 0.63745242165252078587627448231464 y1[1] (numeric) = 0.63770875030578629016652190862333 absolute error = 0.00025632865326550429024742630869 relative error = 0.0402114172852308351599860008053 % h = 0.001 TOP MAIN SOLVE Loop memory used=1510.6MB, alloc=4.4MB, time=199.95 memory used=1514.4MB, alloc=4.4MB, time=200.61 NO POLE NO POLE x[1] = 0.372 y2[1] (analytic) = 1.9316022505701886515155990295735 y2[1] (numeric) = 1.9277401321967204882013878380913 absolute error = 0.0038621183734681633142111914822 relative error = 0.19994377063539383559093478491331 % h = 0.001 y1[1] (analytic) = 0.63652063781755168497186701080265 y1[1] (numeric) = 0.63678080702243827713885551197863 absolute error = 0.00026016920488659216698850117598 relative error = 0.04087364799021103366599270435931 % h = 0.001 TOP MAIN SOLVE Loop memory used=1518.2MB, alloc=4.4MB, time=201.25 NO POLE NO POLE x[1] = 0.373 y2[1] (analytic) = 1.9312383054674996255334717777569 y2[1] (numeric) = 1.927332780941430842432403468433 absolute error = 0.0039055245260687831010683093239 relative error = 0.20222903175708101620757723378567 % h = 0.001 y1[1] (analytic) = 0.63558921746191447656993569494098 y1[1] (numeric) = 0.63585327046094287997942539049568 absolute error = 0.0002640529990284034094896955547 relative error = 0.041544600155874401364586967939356 % h = 0.001 TOP MAIN SOLVE Loop memory used=1522.0MB, alloc=4.4MB, time=201.91 NO POLE NO POLE memory used=1525.9MB, alloc=4.4MB, time=202.57 x[1] = 0.374 y2[1] (analytic) = 1.9308734291265827352412545110794 y2[1] (numeric) = 1.9269241701046403949544517554456 absolute error = 0.0039492590219423402868027556338 relative error = 0.20453225790821308983333896280184 % h = 0.001 y1[1] (analytic) = 0.6346581615170294386893285541723 y1[1] (numeric) = 0.6349261418804159196796876967986 absolute error = 0.0002679803633864809903591426263 relative error = 0.042224362599533106046457949710068 % h = 0.001 TOP MAIN SOLVE Loop memory used=1529.7MB, alloc=4.4MB, time=203.22 NO POLE NO POLE x[1] = 0.375 y2[1] (analytic) = 1.9305076219123142911494767922296 y2[1] (numeric) = 1.9265142987552932784705447732228 absolute error = 0.0039933231570210126789320190068 relative error = 0.2068535296983351492165376036407 % h = 0.001 y1[1] (analytic) = 0.63372747091395243862709064828374 y1[1] (numeric) = 0.63399942254090445538135965345436 absolute error = 0.00027195162695201675426900517062 relative error = 0.042913024830659797237531934140866 % h = 0.001 TOP MAIN SOLVE Loop memory used=1533.5MB, alloc=4.4MB, time=203.86 NO POLE NO POLE x[1] = 0.376 y2[1] (analytic) = 1.9301408841905014770426492067458 y2[1] (numeric) = 1.926103165962698967461287410563 absolute error = 0.0040377182278025095813617961828 relative error = 0.20919292787769340695888945092692 % h = 0.001 y1[1] (analytic) = 0.63279714658337400190267436834815 y1[1] (numeric) = 0.63307311370338641950013944865537 absolute error = 0.00027596712001241759746508030722 relative error = 0.043610677055424685096477652348423 % h = 0.001 TOP MAIN SOLVE Loop memory used=1537.3MB, alloc=4.4MB, time=204.50 memory used=1541.1MB, alloc=4.4MB, time=205.15 NO POLE NO POLE x[1] = 0.377 y2[1] (analytic) = 1.929773216327881984172110062437 y2[1] (numeric) = 1.9256907707965332088753253328229 absolute error = 0.0040824455313487752967847296141 relative error = 0.21155053333765096730156702768245 % h = 0.001 y1[1] (analytic) = 0.63186718945561838156749147481296 y1[1] (numeric) = 0.63214721662977025191855293549385 absolute error = 0.00028002717415187035106146068089 relative error = 0.044317410181263911780828258208603 % h = 0.001 TOP MAIN SOLVE Loop memory used=1544.9MB, alloc=4.4MB, time=205.79 NO POLE NO POLE x[1] = 0.378 y2[1] (analytic) = 1.9294046186921236445183646995176 y2[1] (numeric) = 1.9252771123268389524535205062536 absolute error = 0.004127506365284692064844193264 relative error = 0.21392642711110462786996879178458 % h = 0.001 y1[1] (analytic) = 0.6309376004606426278807375731069 y1[1] (numeric) = 0.63122173258289453324829294195082 absolute error = 0.00028413212225190536755536884392 relative error = 0.045033315821479448701975274305801 % h = 0.001 TOP MAIN SOLVE Loop memory used=1548.7MB, alloc=4.4MB, time=206.44 memory used=1552.6MB, alloc=4.4MB, time=207.11 NO POLE NO POLE x[1] = 0.379 y2[1] (analytic) = 1.929035091651824063123284149087 y2[1] (numeric) = 1.9248621896240272806859239607203 absolute error = 0.0041729020277967824373601883667 relative error = 0.21632069037290271481096633495904 % h = 0.001 y1[1] (analytic) = 0.63000838052803565835241935086267 y1[1] (numeric) = 0.63029666282652761716241792922985 absolute error = 0.00028828229849195880999857836718 relative error = 0.045758486299870754991061263745538 % h = 0.001 TOP MAIN SOLVE Loop memory used=1556.4MB, alloc=4.4MB, time=207.75 NO POLE NO POLE x[1] = 0.38 y2[1] (analytic) = 1.9286646355765102494925308077246 y2[1] (numeric) = 1.9244460017588783384006158339106 absolute error = 0.004218633817631911091914973814 relative error = 0.21873340444026395476748613832801 % h = 0.001 y1[1] (analytic) = 0.6290795305870173281545145336508 y1[1] (numeric) = 0.62937200862536726179777766620626 absolute error = 0.00029247803834993364326313255546 relative error = 0.04649301465539843441647605243483 % h = 0.001 TOP MAIN SOLVE Loop memory used=1560.2MB, alloc=4.4MB, time=208.40 memory used=1564.0MB, alloc=4.4MB, time=209.05 NO POLE NO POLE x[1] = 0.381 y2[1] (analytic) = 1.9282932508366382480685797257438 y2[1] (numeric) = 1.9240285478025422619834831082691 absolute error = 0.0042647030340959860850966174747 relative error = 0.22116465077319738714641801968419 % h = 0.001 y1[1] (analytic) = 0.62815105156643750090119414798726 y1[1] (numeric) = 0.62844777124504026022803451753536 absolute error = 0.0002967196786027593268403695481 relative error = 0.047236994646880129929409428097632 % h = 0.001 TOP MAIN SOLVE Loop memory used=1567.8MB, alloc=4.4MB, time=209.69 NO POLE NO POLE x[1] = 0.382 y2[1] (analytic) = 1.9279209378035927677747050360532 y2[1] (numeric) = 1.9236098268265401082280058209576 absolute error = 0.0043111109770526595466992150956 relative error = 0.2236145109749233201470210099821 % h = 0.001 y1[1] (analytic) = 0.6272229443947751197990363113152 y1[1] (numeric) = 0.62752395195210207000764987236772 absolute error = 0.00030100755732695020861356105252 relative error = 0.047990520757718896966896492946217 % h = 0.001 TOP MAIN SOLVE Loop memory used=1571.6MB, alloc=4.4MB, time=210.34 memory used=1575.4MB, alloc=4.4MB, time=210.99 NO POLE NO POLE x[1] = 0.383 y2[1] (analytic) = 1.927547696849686810630301979607 y2[1] (numeric) = 1.9231898379027647828141228971326 absolute error = 0.0043578589469220278161790824744 relative error = 0.22608306679229533402821970322693 % h = 0.001 y1[1] (analytic) = 0.62629521000013727916816039866944 y1[1] (numeric) = 0.62660055201403644178720616965406 absolute error = 0.00030534201389916261904577098462 relative error = 0.048753688200664298612177091093067 % h = 0.001 TOP MAIN SOLVE Loop memory used=1579.3MB, alloc=4.4MB, time=211.63 NO POLE NO POLE x[1] = 0.384 y2[1] (analytic) = 1.9271735283481612994379159120923 y2[1] (numeric) = 1.9227685801034819684152491277509 absolute error = 0.0044049482446793310226667843414 relative error = 0.22857040011622333510445030955807 % h = 0.001 y1[1] (analytic) = 0.62536784931025829633521006481245 y1[1] (numeric) = 0.62567757269925504700043590468689 absolute error = 0.00030972338899675066522583987444 relative error = 0.049526592922606467700146562016889 % h = 0.001 TOP MAIN SOLVE Loop memory used=1583.1MB, alloc=4.4MB, time=212.27 memory used=1586.9MB, alloc=4.4MB, time=212.93 NO POLE NO POLE x[1] = 0.385 y2[1] (analytic) = 1.9267984326731847045423506047928 y2[1] (numeric) = 1.9223460525013310524325151849644 absolute error = 0.0044523801718536521098354198284 relative error = 0.23107659298209766397102588033623 % h = 0.001 y1[1] (analytic) = 0.6244408632524987838991132287812 y1[1] (numeric) = 0.62475501527709710462332992981881 absolute error = 0.00031415202459832072421670103761 relative error = 0.050309331609403382961371848315468 % h = 0.001 TOP MAIN SOLVE Loop memory used=1590.7MB, alloc=4.4MB, time=213.56 NO POLE NO POLE x[1] = 0.386 y2[1] (analytic) = 1.9264224101998526696622290804899 y2[1] (numeric) = 1.9219222541693260543553029409407 absolute error = 0.0045001560305266153069261395492 relative error = 0.23360172757021426147134464274292 % h = 0.001 y1[1] (analytic) = 0.62351425275384472237054675500772 y1[1] (numeric) = 0.62383288101782900700569829021806 absolute error = 0.00031862826398428463515153521034 relative error = 0.051102001690741608321756857666742 % h = 0.001 TOP MAIN SOLVE Loop memory used=1594.5MB, alloc=4.4MB, time=214.20 NO POLE NO POLE x[1] = 0.387 y2[1] (analytic) = 1.9260454613041876367943811528091 y2[1] (numeric) = 1.9214971841808565527471487296524 absolute error = 0.0045482771233310840472324231567 relative error = 0.23614588620620089592966425587421 % h = 0.001 y1[1] (analytic) = 0.62258801874090653318603319147135 y1[1] (numeric) = 0.62291117119264394477555776306935 absolute error = 0.000323152451737411589524571598 relative error = 0.051904701345030746516637901914092 % h = 0.001 TOP MAIN SOLVE Loop memory used=1598.3MB, alloc=4.4MB, time=214.85 memory used=1602.1MB, alloc=4.4MB, time=215.50 NO POLE NO POLE x[1] = 0.388 y2[1] (analytic) = 1.9256675863631384701914327645926 y2[1] (numeric) = 1.9210708416096886118560875658081 absolute error = 0.0045967447534498583353451987845 relative error = 0.2387091513614444551846082583568 % h = 0.001 y1[1] (analytic) = 0.62166216213991815209759655070879 y1[1] (numeric) = 0.62198988707366153081672119580114 absolute error = 0.00032772493374337871912464509235 relative error = 0.052717529504331860238049795146223 % h = 0.001 TOP MAIN SOLVE Loop memory used=1606.0MB, alloc=4.4MB, time=216.14 NO POLE NO POLE x[1] = 0.389 y2[1] (analytic) = 1.9252887857545800794129731476774 y2[1] (numeric) = 1.9206432255299657078485117106587 absolute error = 0.0046455602246143715644614370187 relative error = 0.24129160565351930697005919696023 % h = 0.001 y1[1] (analytic) = 0.62073668387673610293890374394874 y1[1] (numeric) = 0.62106902993392742331996466571868 absolute error = 0.00033234605719132038106092176994 relative error = 0.053540585859320116112303421750551 % h = 0.001 TOP MAIN SOLVE Loop memory used=1609.8MB, alloc=4.4MB, time=216.80 memory used=1613.6MB, alloc=4.4MB, time=217.45 NO POLE NO POLE x[1] = 0.39 y2[1] (analytic) = 1.9249090598573130414506767528811 y2[1] (numeric) = 1.9202143350162096546656173508972 absolute error = 0.0046947248411033867850594019839 relative error = 0.24389333184661673120162608583581 % h = 0.001 y1[1] (analytic) = 0.61981158487683857176881790215284 y1[1] (numeric) = 0.62014860104741294790814940984428 absolute error = 0.00033701617057437613933150769144 relative error = 0.054373970864281908902035788652814 % h = 0.001 TOP MAIN SOLVE Loop memory used=1617.4MB, alloc=4.4MB, time=218.09 NO POLE NO POLE x[1] = 0.391 y2[1] (analytic) = 1.9245284090510632219277578250411 y2[1] (numeric) = 1.9197841691433215295015135342831 absolute error = 0.004744239907741692426244290758 relative error = 0.24651441285197542773845212629334 % h = 0.001 y1[1] (analytic) = 0.61888686606532448139328944033205 y1[1] (numeric) = 0.61922860168901471883567639981138 absolute error = 0.00034173562369023744238695947933 relative error = 0.055217785742146725442715149196107 % h = 0.001 TOP MAIN SOLVE Loop memory used=1621.2MB, alloc=4.4MB, time=218.74 memory used=1625.0MB, alloc=4.4MB, time=219.39 NO POLE NO POLE x[1] = 0.392 y2[1] (analytic) = 1.9241468337164813953731364236214 y2[1] (numeric) = 1.919352726986582597902067883959 absolute error = 0.0047941067298987974710685396624 relative error = 0.24915493172831310320175219855921 % h = 0.001 y1[1] (analytic) = 0.61796252836691256626651034317064 y1[1] (numeric) = 0.61830903313455425926265236232623 absolute error = 0.00034650476764169299614201915559 relative error = 0.056072132489554009958390037360772 % h = 0.001 TOP MAIN SOLVE Loop memory used=1628.8MB, alloc=4.4MB, time=220.03 NO POLE NO POLE x[1] = 0.393 y2[1] (analytic) = 1.9237643342351428645706956146894 y2[1] (numeric) = 1.9189200076216552384835639926909 absolute error = 0.0048443266134876260871316219985 relative error = 0.25181497168225914044313870075305 % h = 0.001 y1[1] (analytic) = 0.6170385727059404477722567707261 y1[1] (numeric) = 0.61738989666077762060414697099961 absolute error = 0.00035132395483717283189020027351 relative error = 0.056937113881955294555447223771884 % h = 0.001 TOP MAIN SOLVE Loop memory used=1632.7MB, alloc=4.4MB, time=220.67 memory used=1636.5MB, alloc=4.4MB, time=221.32 NO POLE NO POLE x[1] = 0.394 y2[1] (analytic) = 1.9233809109895470789840104849733 y2[1] (numeric) = 1.9184860101245838672702457784522 absolute error = 0.0048949008649632117137647065211 relative error = 0.25449461606878835426750903884307 % h = 0.001 y1[1] (analytic) = 0.61611500000636370988634470278558 y1[1] (numeric) = 0.61647119354535500095492186025955 absolute error = 0.00035619353899129106857715747397 relative error = 0.057812833478751860866476898248413 % h = 0.001 TOP MAIN SOLVE Loop memory used=1640.3MB, alloc=4.4MB, time=221.87 NO POLE NO POLE x[1] = 0.395 y2[1] (analytic) = 1.9229965643631172522569305532408 y2[1] (numeric) = 1.9180507335717958616498244638837 absolute error = 0.0049458307913213906071060893571 relative error = 0.25719394839165583702702864787258 % h = 0.001 y1[1] (analytic) = 0.61519181119175497522112295934603 y1[1] (numeric) = 0.61555292506688036259001303658439 absolute error = 0.00036111387512538736889007723836 relative error = 0.058699395628468201009222976457974 % h = 0.001 TOP MAIN SOLVE Loop memory used=1644.1MB, alloc=4.4MB, time=222.14 memory used=1647.9MB, alloc=4.4MB, time=222.42 NO POLE NO POLE x[1] = 0.396 y2[1] (analytic) = 1.9226112947401999787903980783825 y2[1] (numeric) = 1.9176141770401024839460242241994 absolute error = 0.0049971177000974948443738541831 relative error = 0.25991305230383289771455003271115 % h = 0.001 y1[1] (analytic) = 0.61426900718530298145292755264793 y1[1] (numeric) = 0.61463509250487104854154918644176 absolute error = 0.00036608531956806708862163379383 relative error = 0.059596905473961548238213499958288 % h = 0.001 TOP MAIN SOLVE Loop memory used=1651.7MB, alloc=4.4MB, time=222.69 NO POLE NO POLE x[1] = 0.397 y2[1] (analytic) = 1.9222251025060648493958856873514 y2[1] (numeric) = 1.9171763396066998046072429310706 absolute error = 0.0050487628993650447886427562808 relative error = 0.26265201160794409819666114144629 % h = 0.001 y1[1] (analytic) = 0.61334658890981165813342094323165 y1[1] (numeric) = 0.61371769713976739825218930408327 absolute error = 0.00037110822995574011876836085162 relative error = 0.060505468957667749899213853740492 % h = 0.001 TOP MAIN SOLVE Loop memory used=1655.6MB, alloc=4.4MB, time=222.96 NO POLE NO POLE memory used=1659.4MB, alloc=4.4MB, time=223.23 x[1] = 0.398 y2[1] (analytic) = 1.9218379880469040660258376694886 y2[1] (numeric) = 1.9167372203491696250104048039027 absolute error = 0.0051007676977344410154328655859 relative error = 0.26541091025670539023845561150695 % h = 0.001 y1[1] (analytic) = 0.61242455728769920388573938859978 y1[1] (numeric) = 0.61280074025293236230556398572531 absolute error = 0.00037618296523315841982459712553 relative error = 0.061425192826883757549319214829114 % h = 0.001 TOP MAIN SOLVE Loop memory used=1663.2MB, alloc=4.4MB, time=223.51 NO POLE NO POLE x[1] = 0.399 y2[1] (analytic) = 1.9214499517498320555815002067615 y2[1] (numeric) = 1.9162968183454803998790821647305 absolute error = 0.005153133404351655702418042031 relative error = 0.26818983235336335698406324402156 % h = 0.001 y1[1] (analytic) = 0.6115029132409971639863711882616 y1[1] (numeric) = 0.61188422312665111623410565964245 absolute error = 0.00038130988565395224773447138085 relative error = 0.062356184639087011378499591047274 % h = 0.001 TOP MAIN SOLVE Loop memory used=1667.0MB, alloc=4.4MB, time=223.77 NO POLE NO POLE x[1] = 0.4 y2[1] (analytic) = 1.9210609940028850827985267320518 y2[1] (numeric) = 1.9158551326739881593149638786863 absolute error = 0.0052058613288969234835628533655 relative error = 0.2709888621521355625689716536195 % h = 0.001 y1[1] (analytic) = 0.61058165769134950833368824320429 y1[1] (numeric) = 0.61096814704413067340465394431111 absolute error = 0.00038648935278116507096570110682 relative error = 0.063298552767291998361930427680455 % h = 0.001 TOP MAIN SOLVE Loop memory used=1670.8MB, alloc=4.4MB, time=224.04 memory used=1674.6MB, alloc=4.4MB, time=224.32 NO POLE NO POLE x[1] = 0.401 y2[1] (analytic) = 1.9206711151950208622107455298569 y2[1] (numeric) = 1.9154121624134374304417484486495 absolute error = 0.0052589527815834317689970812074 relative error = 0.27380808405865201355220959666745 % h = 0.001 y1[1] (analytic) = 0.60966079156001170980405296118265 y1[1] (numeric) = 0.61005251328949949698222324896586 absolute error = 0.00039172172948778717817028778321 relative error = 0.064252406405444265886685585532658 % h = 0.001 TOP MAIN SOLVE Loop memory used=1678.4MB, alloc=4.4MB, time=224.59 NO POLE NO POLE x[1] = 0.402 y2[1] (analytic) = 1.9202803157161181691924776156028 y2[1] (numeric) = 1.9149679066429621586605401202611 absolute error = 0.0053124090731560105319374953417 relative error = 0.27664758263039773586854918978383 % h = 0.001 y1[1] (analytic) = 0.60874031576784982299642215164349 y1[1] (numeric) = 0.6091373231478071109723206527684 absolute error = 0.00039700737995728797589850112491 relative error = 0.065217855573852174931541204296665 % h = 0.001 TOP MAIN SOLVE Loop memory used=1682.3MB, alloc=4.4MB, time=224.85 memory used=1686.1MB, alloc=4.4MB, time=225.13 NO POLE NO POLE x[1] = 0.403 y2[1] (analytic) = 1.9198885959569764500797938512206 y2[1] (numeric) = 1.9145223644420866285158267419844 absolute error = 0.0053662315148898215639671092362 relative error = 0.27950744257715647101301828276519 % h = 0.001 y1[1] (analytic) = 0.60782023123533956336636916560423 y1[1] (numeric) = 0.60822257790502371034220302023894 absolute error = 0.00040234666968414697583385463471 relative error = 0.066195011124656679234944404247567 % h = 0.001 TOP MAIN SOLVE Loop memory used=1689.9MB, alloc=4.4MB, time=225.40 NO POLE NO POLE x[1] = 0.404 y2[1] (analytic) = 1.9194959563093154313711011756945 y2[1] (numeric) = 1.9140755348907263841711185143098 absolute error = 0.0054204214185890471999826613847 relative error = 0.28238774876145549518219583590688 % h = 0.001 y1[1] (analytic) = 0.60690053888256538675044514638653 y1[1] (numeric) = 0.60730827884803977022146323166037 absolute error = 0.00040773996547438347101808527384 relative error = 0.06718398474733941926384798340686 % h = 0.001 TOP MAIN SOLVE Loop memory used=1693.7MB, alloc=4.4MB, time=225.66 memory used=1697.5MB, alloc=4.4MB, time=225.94 NO POLE NO POLE x[1] = 0.405 y2[1] (analytic) = 1.9191023971657747280074487499645 y2[1] (numeric) = 1.9136274170691891494933271525426 absolute error = 0.0054749800965855785141215974219 relative error = 0.28528858619901156510899246340157 % h = 0.001 y1[1] (analytic) = 0.60598123962921956928179986676729 y1[1] (numeric) = 0.60639442726466565418233632783644 absolute error = 0.00041318763544608490053646106915 relative error = 0.06818488897426942219531148944183 % h = 0.001 TOP MAIN SOLVE Loop memory used=1701.3MB, alloc=4.4MB, time=226.22 NO POLE NO POLE x[1] = 0.406 y2[1] (analytic) = 1.9187079189199134507329457358444 y2[1] (numeric) = 1.9131780100581757477449653788709 absolute error = 0.0055299088617377029879803569735 relative error = 0.28821004005917799433989553407565 % h = 0.001 y1[1] (analytic) = 0.60506233439460128769798223684934 y1[1] (numeric) = 0.60548102444363122160011728886513 absolute error = 0.00041869004902993390213505201579 relative error = 0.069197837186288701543732781772963 % h = 0.001 TOP MAIN SOLVE Loop memory used=1705.1MB, alloc=4.4MB, time=226.49 memory used=1709.0MB, alloc=4.4MB, time=226.77 NO POLE NO POLE x[1] = 0.407 y2[1] (analytic) = 1.9183125219662098125356833485036 y2[1] (numeric) = 1.9127273129387810208832470515906 absolute error = 0.005585209027428791652436296913 relative error = 0.29115219566539286371598356180704 % h = 0.001 y1[1] (analytic) = 0.60414382409761570004184017477465 y1[1] (numeric) = 0.60456807167458543409408308647674 absolute error = 0.00042424757696973405224291170209 relative error = 0.070222943618337052509517213500746 % h = 0.001 TOP MAIN SOLVE Loop memory used=1712.8MB, alloc=4.4MB, time=227.03 NO POLE NO POLE x[1] = 0.408 y2[1] (analytic) = 1.9179162067000607341695547415594 y2[1] (numeric) = 1.9122753247924947484651686324644 absolute error = 0.005640881907565985704386109095 relative error = 0.29411513849562836983138826495128 % h = 0.001 y1[1] (analytic) = 0.60322570965677302675643913930379 y1[1] (numeric) = 0.60365557024809596104931256898183 absolute error = 0.00042986059132293429287342967804 relative error = 0.07126032336511634159013091337422 % h = 0.001 TOP MAIN SOLVE Loop memory used=1716.6MB, alloc=4.4MB, time=227.30 memory used=1720.4MB, alloc=4.4MB, time=227.58 NO POLE NO POLE x[1] = 0.409 y2[1] (analytic) = 1.9175189735177814487573672029263 y2[1] (numeric) = 1.9118220447012025661576530872094 absolute error = 0.0056969288165788825997141157169 relative error = 0.29709895418284131525530482185278 % h = 0.001 y1[1] (analytic) = 0.60230799199018763217491822926617 y1[1] (numeric) = 0.60274352145564878421979865697625 absolute error = 0.00043552946546115204488042771008 relative error = 0.07231009238679459148203971459449 % h = 0.001 TOP MAIN SOLVE Loop memory used=1724.2MB, alloc=4.4MB, time=227.84 NO POLE NO POLE x[1] = 0.41 y2[1] (analytic) = 1.917120822816605105475642058277 y2[1] (numeric) = 1.9113674717471868838518377090462 absolute error = 0.0057533510694182216238043492308 relative error = 0.30010372851542474431612169433756 % h = 0.001 y1[1] (analytic) = 0.60139067201557710640620235994886 y1[1] (numeric) = 0.60183192658964780141324824665816 absolute error = 0.0004412545740706950070458867093 relative error = 0.073372367514750164812227786282784 % h = 0.001 TOP MAIN SOLVE Loop memory used=1728.0MB, alloc=4.4MB, time=228.11 NO POLE NO POLE x[1] = 0.411 y2[1] (analytic) = 1.9167217549946823723214985972821 y2[1] (numeric) = 1.9109116050131278033805877510986 absolute error = 0.0058101499815545689409108461835 relative error = 0.30312954743766072825876112988404 % h = 0.001 y1[1] (analytic) = 0.6004737506502613476174886306349 y1[1] (numeric) = 0.60092078694341442925796613592406 absolute error = 0.00044703629315308164047750528916 relative error = 0.074447266457356352771044076922312 % h = 0.001 TOP MAIN SOLVE Loop memory used=1731.8MB, alloc=4.4MB, time=228.38 memory used=1735.7MB, alloc=4.4MB, time=228.66 NO POLE NO POLE x[1] = 0.412 y2[1] (analytic) = 1.9163217704510810379620192557123 y2[1] (numeric) = 1.910454443582104035838318150206 absolute error = 0.0058673268689770021237011055063 relative error = 0.30617649705017430359889028392296 % h = 0.001 y1[1] (analytic) = 0.59955722881116164471442460072855 y1[1] (numeric) = 0.6000101038111872050522202063268 absolute error = 0.00045287500002556033779560559825 relative error = 0.075534907805806677274266780069236 % h = 0.001 TOP MAIN SOLVE Loop memory used=1739.5MB, alloc=4.4MB, time=228.93 NO POLE NO POLE x[1] = 0.413 y2[1] (analytic) = 1.915920869585785612666494204004 y2[1] (numeric) = 1.9099959865375938185022060224033 absolute error = 0.0059248830481917941642881816007 relative error = 0.30924466361038856751028102485672 % h = 0.001 y1[1] (analytic) = 0.59864110741479976041989579421255 y1[1] (numeric) = 0.59909987848812138769648601149726 absolute error = 0.00045877107332162727659021728471 relative error = 0.076635411039981217861735114882457 % h = 0.001 TOP MAIN SOLVE Loop memory used=1743.3MB, alloc=4.4MB, time=229.20 memory used=1747.1MB, alloc=4.4MB, time=229.48 NO POLE NO POLE x[1] = 0.414 y2[1] (analytic) = 1.9155190527996969283219444100102 y2[1] (numeric) = 1.9095362329634758313538770089331 absolute error = 0.0059828198362210969680674010771 relative error = 0.3123341335329809340942640959365 % h = 0.001 y1[1] (analytic) = 0.59772538737729701475233935357361 y1[1] (numeric) = 0.59819011227028855770896983975178 absolute error = 0.00046472489299154295663048617817 relative error = 0.07774889653435427714290516837816 % h = 0.001 TOP MAIN SOLVE Loop memory used=1750.9MB, alloc=4.4MB, time=229.75 NO POLE NO POLE x[1] = 0.415 y2[1] (analytic) = 1.9151163204946317375323231603814 y2[1] (numeric) = 1.9090751819440301132006489511791 absolute error = 0.0060411385506016243316742092023 relative error = 0.31544499339034055539294061077523 % h = 0.001 y1[1] (analytic) = 0.5968100696143733689045003648061 y1[1] (numeric) = 0.59728080645467621632481023532902 absolute error = 0.00047073684030284742030987052292 relative error = 0.078875485563943701226476250587955 % h = 0.001 TOP MAIN SOLVE Loop memory used=1754.7MB, alloc=4.4MB, time=230.02 memory used=1758.6MB, alloc=4.4MB, time=230.30 NO POLE NO POLE x[1] = 0.416 y2[1] (analytic) = 1.9147126730733223118017969413405 y2[1] (numeric) = 1.9086128325639389773954167733542 absolute error = 0.0060998405093833344063801679863 relative error = 0.31857732991302691102058105394077 % h = 0.001 y1[1] (analytic) = 0.59589515504134650952354697466115 y1[1] (numeric) = 0.5963719623391873836793588790213 absolute error = 0.00047680729784087415581190436015 relative error = 0.080015300310302174222042560442947 % h = 0.001 TOP MAIN SOLVE Loop memory used=1762.4MB, alloc=4.4MB, time=230.57 NO POLE NO POLE x[1] = 0.417 y2[1] (analytic) = 1.9143081109394160388025074955377 y2[1] (numeric) = 1.908149183908287927154262853134 absolute error = 0.0061589270311281116482446424037 relative error = 0.32173122999022957030045924796932 % h = 0.001 y1[1] (analytic) = 0.59498064457313093339346001994986 y1[1] (numeric) = 0.59546358122264019607594264488599 absolute error = 0.00048293664950926268248262493613 relative error = 0.081168463867550808576790886084444 % h = 0.001 TOP MAIN SOLVE Loop memory used=1766.2MB, alloc=4.4MB, time=230.83 memory used=1770.0MB, alloc=4.4MB, time=231.11 NO POLE NO POLE x[1] = 0.418 y2[1] (analytic) = 1.9139026344974750187272177871901 y2[1] (numeric) = 1.9076842350625665704708775627024 absolute error = 0.0062183994349084482563402244877 relative error = 0.32490678067022913080723633602329 % h = 0.001 y1[1] (analytic) = 0.59406653912423703252061248643465 y1[1] (numeric) = 0.59455566440476750233850956524144 absolute error = 0.00048912528053046981789707880679 relative error = 0.082335100248455355709830079219311 % h = 0.001 TOP MAIN SOLVE Loop memory used=1773.8MB, alloc=4.4MB, time=231.38 NO POLE NO POLE x[1] = 0.419 y2[1] (analytic) = 1.9134962441529756597272455228257 y2[1] (numeric) = 1.9072179851126695346268750658644 absolute error = 0.0062782590403061251003704569613 relative error = 0.32810406916085933722792791993227 % h = 0.001 y1[1] (analytic) = 0.59315283960877017962345371165307 y1[1] (numeric) = 0.59364821318621645924956235126775 absolute error = 0.00049537357744627962610863961468 relative error = 0.083515334390545364131046263158137 % h = 0.001 TOP MAIN SOLVE Loop memory used=1777.6MB, alloc=4.4MB, time=231.65 memory used=1781.4MB, alloc=4.4MB, time=231.93 NO POLE NO POLE x[1] = 0.42 y2[1] (analytic) = 1.9130889403123082724360887896657 y2[1] (numeric) = 1.9067504331448973802970898609866 absolute error = 0.0063385071674108921389989286791 relative error = 0.33132318282997038446745629167522 % h = 0.001 y1[1] (analytic) = 0.59223954694042981402721284191366 y1[1] (numeric) = 0.59274122886854812607378403124522 absolute error = 0.00050168192811831204657118933156 relative error = 0.084709292162276614980675906665887 % h = 0.001 TOP MAIN SOLVE Loop memory used=1785.3MB, alloc=4.4MB, time=232.20 NO POLE NO POLE x[1] = 0.421 y2[1] (analytic) = 1.912680723382776663579149287984 y2[1] (numeric) = 1.9062815782459575152489399645456 absolute error = 0.0063991451368191483302093234384 relative error = 0.33456420920589340893780940839574 % h = 0.001 y1[1] (analytic) = 0.59132666203250852796453564868418 y1[1] (numeric) = 0.59183471275423705816776118277101 absolute error = 0.00050805072172853020322553408683 relative error = 0.08591710036923716770032643329332 % h = 0.001 TOP MAIN SOLVE Loop memory used=1789.1MB, alloc=4.4MB, time=232.47 NO POLE NO POLE memory used=1792.9MB, alloc=4.4MB, time=232.74 x[1] = 0.422 y2[1] (analytic) = 1.9122715937725977286699595476886 y2[1] (numeric) = 1.9058114195029651076349430359963 absolute error = 0.0064601742696326210350165116923 relative error = 0.33782723597790617198289909457761 % h = 0.001 y1[1] (analytic) = 0.59041418579789115328296840365935 y1[1] (numeric) = 0.59092866614667089967621114919691 absolute error = 0.00051448034877974639324274553756 relative error = 0.087138886760397351346203046712012 % h = 0.001 TOP MAIN SOLVE Loop memory used=1796.7MB, alloc=4.4MB, time=233.01 NO POLE NO POLE x[1] = 0.423 y2[1] (analytic) = 1.9118615518909010437933214328626 y2[1] (numeric) = 1.9053399560034439988774721515208 absolute error = 0.0065215958874570449158492813418 relative error = 0.34111235099669993940433311718753 % h = 0.001 y1[1] (analytic) = 0.58950211914905384856020210494802 y1[1] (numeric) = 0.59002309035014997531512054402709 absolute error = 0.00052097120109612675491843907907 relative error = 0.08837478003440403988107577197087 % h = 0.001 TOP MAIN SOLVE Loop memory used=1800.5MB, alloc=4.4MB, time=233.28 NO POLE NO POLE x[1] = 0.424 y2[1] (analytic) = 1.911450598147728456475764151092 y2[1] (numeric) = 1.9048671868353276161448383419779 absolute error = 0.0065834113124008403309258091141 relative error = 0.34441964227484756106648948028526 % h = 0.001 y1[1] (analytic) = 0.58859046299806318662798993905953 y1[1] (numeric) = 0.58911798666988688124220326010328 absolute error = 0.00052752367182369461421332104375 relative error = 0.089624909845919552633299934278852 % h = 0.001 TOP MAIN SOLVE Loop memory used=1804.3MB, alloc=4.4MB, time=233.55 memory used=1808.1MB, alloc=4.4MB, time=233.83 NO POLE NO POLE x[1] = 0.425 y2[1] (analytic) = 1.9110387329540336756437308970901 y2[1] (numeric) = 1.9043931110869598844177874190471 absolute error = 0.006645621867073791225943478043 relative error = 0.3477491979872727545725067344397 % h = 0.001 y1[1] (analytic) = 0.58767921825657524250565045469569 y1[1] (numeric) = 0.58821335641200607501508711308532 absolute error = 0.00053413815543083250943665838963 relative error = 0.090889406812005523989246805829043 % h = 0.001 TOP MAIN SOLVE Loop memory used=1812.0MB, alloc=4.4MB, time=234.10 NO POLE NO POLE x[1] = 0.426 y2[1] (analytic) = 1.9106259567216818606699041723951 y2[1] (numeric) = 1.9039177278470961381454990231455 absolute error = 0.0067082288745857225244051492496 relative error = 0.35110110647172059701608150399647 % h = 0.001 y1[1] (analytic) = 0.58676838583583468174406851476933 y1[1] (numeric) = 0.58730920088354346463763916100618 absolute error = 0.00054081504770878289357064623685 relative error = 0.092168402518552089290072155439506 % h = 0.001 TOP MAIN SOLVE Loop memory used=1815.8MB, alloc=4.4MB, time=234.37 memory used=1819.6MB, alloc=4.4MB, time=234.65 NO POLE NO POLE x[1] = 0.427 y2[1] (analytic) = 1.910212269863449209508080734783 y2[1] (numeric) = 1.9034410362049040324901762371954 absolute error = 0.0067712336585451770179044975876 relative error = 0.35447545622922922882729401429989 % h = 0.001 y1[1] (analytic) = 0.58585796664667384918110568257234 y1[1] (numeric) = 0.58640552139244599669484065354197 absolute error = 0.00054755474577214751373497096963 relative error = 0.093462029526752736835115000400137 % h = 0.001 TOP MAIN SOLVE Loop memory used=1823.4MB, alloc=4.4MB, time=234.92 NO POLE NO POLE x[1] = 0.428 y2[1] (analytic) = 1.9097976727930225459170080424865 y2[1] (numeric) = 1.9029630352499644541593145217282 absolute error = 0.0068346375430580917576935207583 relative error = 0.35787233592460277374406436382709 % h = 0.001 y1[1] (analytic) = 0.58494796159951185810933128660698 y1[1] (numeric) = 0.58550231924757124357662347608765 absolute error = 0.00055435764805938546729218948067 relative error = 0.094770421379625178852645939298774 % h = 0.001 TOP MAIN SOLVE Loop memory used=1827.2MB, alloc=4.4MB, time=235.19 memory used=1831.0MB, alloc=4.4MB, time=235.47 NO POLE NO POLE x[1] = 0.429 y2[1] (analytic) = 1.9093821659249989057735949693482 y2[1] (numeric) = 1.9024837240722724318247391391322 absolute error = 0.006898441852726473948855830216 relative error = 0.3612918343868854789542768467509 % h = 0.001 y1[1] (analytic) = 0.58403837160435367985698499627348 y1[1] (numeric) = 0.58459959575868698979108086476756 absolute error = 0.00056122415433330993409586849408 relative error = 0.096093712608578597284445917401407 % h = 0.001 TOP MAIN SOLVE Loop memory used=1834.8MB, alloc=4.4MB, time=235.73 NO POLE NO POLE x[1] = 0.43 y2[1] (analytic) = 1.9089657496748851224759104776634 y2[1] (numeric) = 1.9020031017622380461275006480821 absolute error = 0.0069626479126470763484098295813 relative error = 0.36473404060983707946709700492745 % h = 0.001 y1[1] (analytic) = 0.58312919757078923378308132737543 y1[1] (numeric) = 0.58369735223647081736746607913563 absolute error = 0.0005681546656815835843847517602 relative error = 0.097432038740027623244066978735539 % h = 0.001 TOP MAIN SOLVE Loop memory used=1838.7MB, alloc=4.4MB, time=236.01 memory used=1842.5MB, alloc=4.4MB, time=236.29 NO POLE NO POLE x[1] = 0.431 y2[1] (analytic) = 1.90854842445909741143638484568 y2[1] (numeric) = 1.901521167410687339267718463331 absolute error = 0.007027257048410072168666382349 relative error = 0.36819904375240939078554649011664 % h = 0.001 y1[1] (analytic) = 0.58222044040799247768756608226273 y1[1] (numeric) = 0.582795589992509690349393629532 absolute error = 0.00057514958451721266182754726927 relative error = 0.098785536302053412049884320411424 % h = 0.001 TOP MAIN SOLVE Loop memory used=1846.3MB, alloc=4.4MB, time=236.56 NO POLE NO POLE x[1] = 0.432 y2[1] (analytic) = 1.9081301906949609536656289565175 y2[1] (numeric) = 1.9010379201088632241784628910972 absolute error = 0.0070922705860977294871660654203 relative error = 0.37168693313922413396599446432517 % h = 0.001 y1[1] (analytic) = 0.58131210102472049863743431437966 y1[1] (numeric) = 0.58189431033929953837865856586024 absolute error = 0.00058220931457903974122425148058 relative error = 0.10015434283111217880347464201406 % h = 0.001 TOP MAIN SOLVE Loop memory used=1850.1MB, alloc=4.4MB, time=236.82 memory used=1853.9MB, alloc=4.4MB, time=237.11 NO POLE NO POLE x[1] = 0.433 y2[1] (analytic) = 1.9077110488007094784472880646543 y2[1] (numeric) = 1.900553358948426393282766466239 absolute error = 0.0071576898522830851645215984153 relative error = 0.37519779826105199716387137686866 % h = 0.001 y1[1] (analytic) = 0.58040418032931260420971899102467 y1[1] (numeric) = 0.58099351459024483937009024393115 absolute error = 0.00058933426093223516037125290648 relative error = 0.10153859687879156258173329612047 % h = 0.001 TOP MAIN SOLVE Loop memory used=1857.7MB, alloc=4.4MB, time=237.37 NO POLE NO POLE x[1] = 0.434 y2[1] (analytic) = 1.9072909991954848451043473650912 y2[1] (numeric) = 1.9000674830214562268328558342825 absolute error = 0.0072235161740286182714915308087 relative error = 0.37873172877529293777861174875949 % h = 0.001 y1[1] (analytic) = 0.57949667922968941415225911125708 y1[1] (numeric) = 0.5800932040596582012778578944846 absolute error = 0.00059652482996878712559878322752 relative error = 0.10293843801861519043775911523722 % h = 0.001 TOP MAIN SOLVE Loop memory used=1861.5MB, alloc=4.4MB, time=237.64 NO POLE NO POLE x[1] = 0.435 y2[1] (analytic) = 1.9068700422993366238573075988539 y2[1] (numeric) = 1.8995802914204517008306958391458 absolute error = 0.0072897508788849230266117597081 relative error = 0.38228881450645772932458728972391 % h = 0.001 y1[1] (analytic) = 0.57858959863335195246315561810729 y1[1] (numeric) = 0.57919338006275994295364622854904 absolute error = 0.00060378142940799049049061044175 relative error = 0.10435400685289581556118117075234 % h = 0.001 TOP MAIN SOLVE Loop memory used=1865.4MB, alloc=4.4MB, time=237.91 memory used=1869.2MB, alloc=4.4MB, time=238.19 NO POLE NO POLE x[1] = 0.436 y2[1] (analytic) = 1.9064481785332216757746498366219 y2[1] (numeric) = 1.8990917832383322945289378960913 absolute error = 0.0073563952948893812457119405306 relative error = 0.38586914544665075716860048986071 % h = 0.001 y1[1] (analytic) = 0.5776829394473807398898230255586 y1[1] (numeric) = 0.57829404391567767409712022092805 absolute error = 0.00061110446829693420729719536945 relative error = 0.10578544501963740713356943969242 % h = 0.001 TOP MAIN SOLVE Loop memory used=1873.0MB, alloc=4.4MB, time=238.45 NO POLE NO POLE x[1] = 0.437 y2[1] (analytic) = 1.9060254083190037318160094899842 y2[1] (numeric) = 1.8986019575684388975113651490334 absolute error = 0.0074234507505648343046443409508 relative error = 0.38947281175605406728837198968416 % h = 0.001 y1[1] (analytic) = 0.57677670257843488684854426117356 y1[1] (numeric) = 0.57739519693544587429909912131419 absolute error = 0.00061849435701098745055486014063 relative error = 0.10723289519948657262915795328913 % h = 0.001 TOP MAIN SOLVE Loop memory used=1876.8MB, alloc=4.4MB, time=238.72 memory used=1880.6MB, alloc=4.4MB, time=239.00 NO POLE NO POLE x[1] = 0.438 y2[1] (analytic) = 1.9056017320794529709684805071144 y2[1] (numeric) = 1.8981108135045347163519273318321 absolute error = 0.0074909185749182546165531752823 relative error = 0.3930999037634126722203727614701 % h = 0.001 y1[1] (analytic) = 0.57587088893275118676543580473445 y1[1] (numeric) = 0.57649684044000547117786064982114 absolute error = 0.00062595150725428441242484508669 relative error = 0.10869650112273369655561426441805 % h = 0.001 TOP MAIN SOLVE Loop memory used=1884.4MB, alloc=4.4MB, time=239.27 NO POLE NO POLE x[1] = 0.439 y2[1] (analytic) = 1.9051771502382455974764716165229 y2[1] (numeric) = 1.8976183501408061808514586746129 absolute error = 0.00755880009743941662501294191 relative error = 0.39675051196652111837932465510918 % h = 0.001 y1[1] (analytic) = 0.57496549941614320983972978185704 y1[1] (numeric) = 0.57559897574820341760899724059461 absolute error = 0.00063347633206020776926745873757 relative error = 0.11017640757636418290431607172075 % h = 0.001 TOP MAIN SOLVE Loop memory used=1888.3MB, alloc=4.4MB, time=239.54 memory used=1892.1MB, alloc=4.4MB, time=239.82 NO POLE NO POLE x[1] = 0.44 y2[1] (analytic) = 1.9047516632199634171655373889984 y2[1] (numeric) = 1.8971245665718638498511726184709 absolute error = 0.0076270966480995673143647705275 relative error = 0.40042472703271131894572039885744 % h = 0.001 y1[1] (analytic) = 0.57406053493400039723027924922008 y1[1] (numeric) = 0.57470160417979226804924710361069 absolute error = 0.00064106924579187081896785439061 relative error = 0.11167276041116019188485097493941 % h = 0.001 TOP MAIN SOLVE Loop memory used=1895.9MB, alloc=4.4MB, time=240.09 NO POLE NO POLE x[1] = 0.441 y2[1] (analytic) = 1.9043252714500934128606077938682 y2[1] (numeric) = 1.89662946189274331662202752514 absolute error = 0.0076958095573500962385802687282 relative error = 0.40412263979934165653179692419676 % h = 0.001 y1[1] (analytic) = 0.57315599639128715566619248482993 y1[1] (numeric) = 0.5738047270554297539547237807952 absolute error = 0.00064873066414259828853129596527 relative error = 0.11318570654885326485454837135925 % h = 0.001 TOP MAIN SOLVE Loop memory used=1899.7MB, alloc=4.4MB, time=240.36 memory used=1903.5MB, alloc=4.4MB, time=240.63 NO POLE NO POLE x[1] = 0.442 y2[1] (analytic) = 1.9038979753550273188990408313166 y2[1] (numeric) = 1.8961330351989061138290579923362 absolute error = 0.0077649401561212050699828389804 relative error = 0.40784434127428735985053413310341 % h = 0.001 y1[1] (analytic) = 0.57225188469254195248250167261022 y1[1] (numeric) = 0.57290834569667835829396877819916 absolute error = 0.00065646100413640581146710558894 relative error = 0.11471539398932823472109660468596 % h = 0.001 TOP MAIN SOLVE Loop memory used=1907.3MB, alloc=4.4MB, time=240.90 NO POLE NO POLE x[1] = 0.443 y2[1] (analytic) = 1.9034697753620611947389237276696 y2[1] (numeric) = 1.89563528558624061806976681052 absolute error = 0.0078344897758205766691569171496 relative error = 0.41158992263643215862644517158249 % h = 0.001 y1[1] (analytic) = 0.57134820074187641108177094557285 y1[1] (numeric) = 0.57201246142600488915625276114219 absolute error = 0.00066426068412847807448181556934 relative error = 0.11626197181787882249501025661546 % h = 0.001 TOP MAIN SOLVE Loop memory used=1911.1MB, alloc=4.4MB, time=241.17 memory used=1915.0MB, alloc=4.4MB, time=241.45 NO POLE NO POLE x[1] = 0.444 y2[1] (analytic) = 1.9030406718993949976630490853117 y2[1] (numeric) = 1.8951362121510629539856730227609 absolute error = 0.0079044597483320436773760625508 relative error = 0.4153594752361612210011741463697 % h = 0.001 y1[1] (analytic) = 0.57044494544297440682254832588658 y1[1] (numeric) = 0.57111707556678005245555170398722 absolute error = 0.00067213012380564563300337810064 relative error = 0.11782559021251532409921202585002 % h = 0.001 TOP MAIN SOLVE Loop memory used=1918.8MB, alloc=4.4MB, time=241.72 NO POLE NO POLE x[1] = 0.445 y2[1] (analytic) = 1.9026106653961321545789932832218 y2[1] (numeric) = 1.8946358139901178979461119762311 absolute error = 0.0079748514060142566328813069907 relative error = 0.41915309059585537770122325091249 % h = 0.001 y1[1] (analytic) = 0.56954211969909116333556567331613 y1[1] (numeric) = 0.5702221894432780237306252905347 absolute error = 0.00068006974418686039505961721857 relative error = 0.1194064004513247950056045931523 % h = 0.001 TOP MAIN SOLVE Loop memory used=1922.6MB, alloc=4.4MB, time=241.99 NO POLE NO POLE memory used=1926.4MB, alloc=4.4MB, time=242.26 x[1] = 0.446 y2[1] (analytic) = 1.9021797562822791329157253280146 y2[1] (numeric) = 1.8941340902005797813033836816043 absolute error = 0.0080456660816993516123416464103 relative error = 0.42297086041038663724949368423039 % h = 0.001 y1[1] (analytic) = 0.56863972441305234926859032575643 y1[1] (numeric) = 0.56932780438067601904162576492223 absolute error = 0.0006880799676236697730354391658 relative error = 0.1210045549198841437635574178892 % h = 0.001 TOP MAIN SOLVE Loop memory used=1930.2MB, alloc=4.4MB, time=242.53 NO POLE NO POLE x[1] = 0.447 y2[1] (analytic) = 1.9017479449887450106171752588427 y2[1] (numeric) = 1.8936310398800533932183462252855 absolute error = 0.0081169051086916173988290335572 relative error = 0.42681287654761499651674378408174 % h = 0.001 y1[1] (analytic) = 0.56773776048725317546083168693519 y1[1] (numeric) = 0.56843392170505386496366633638499 absolute error = 0.0006961612178006895028346494498 relative error = 0.12262020711872654901305235557651 % h = 0.001 TOP MAIN SOLVE Loop memory used=1934.0MB, alloc=4.4MB, time=242.80 NO POLE NO POLE x[1] = 0.448 y2[1] (analytic) = 1.9013152319473410452331921125551 y2[1] (numeric) = 1.8931266621265748830555514089548 absolute error = 0.0081885698207661621776407036003 relative error = 0.4306792310488865509235436872539 % h = 0.001 y1[1] (analytic) = 0.56683622882365749254780558680187 y1[1] (numeric) = 0.56754054274339356767777914427277 absolute error = 0.0007043139197360751299735574709 relative error = 0.12425351167086161813615478604142 % h = 0.001 TOP MAIN SOLVE Loop memory used=1937.8MB, alloc=4.4MB, time=243.07 memory used=1941.7MB, alloc=4.4MB, time=243.34 NO POLE NO POLE x[1] = 0.449 y2[1] (analytic) = 1.9008816175907802421083223581184 y2[1] (numeric) = 1.8926209560386126623470202213636 absolute error = 0.0082606615521675797613021367548 relative error = 0.43457001612953290861783880961435 % h = 0.001 y1[1] (analytic) = 0.56593513032379688899755880966357 y1[1] (numeric) = 0.56664766882357888115969369232968 absolute error = 0.00071253849978199216213488266611 relative error = 0.12590462432934970929484175421395 % h = 0.001 TOP MAIN SOLVE Loop memory used=1945.5MB, alloc=4.4MB, time=243.61 NO POLE NO POLE x[1] = 0.45 y2[1] (analytic) = 1.9004471023526769216688406114864 y2[1] (numeric) = 1.892113920715068306323756178684 absolute error = 0.0083331816376086153450844328024 relative error = 0.43848532417937191296782474185839 % h = 0.001 y1[1] (analytic) = 0.5650344658887697895791557537681 y1[1] (numeric) = 0.56575530127439487446686756342218 absolute error = 0.00072083538562508488771180965408 relative error = 0.12757370198493084223136734861716 % h = 0.001 TOP MAIN SOLVE Loop memory used=1949.3MB, alloc=4.4MB, time=243.88 memory used=1953.1MB, alloc=4.4MB, time=244.15 NO POLE NO POLE x[1] = 0.451 y2[1] (analytic) = 1.9000116866675462858084653438511 y2[1] (numeric) = 1.8916055552552774550140950019722 absolute error = 0.0084061314122688307943703418789 relative error = 0.44242524776320967772448402077232 % h = 0.001 y1[1] (analytic) = 0.56413423641924055426432875377253 y1[1] (numeric) = 0.56486344142552749812420212764854 absolute error = 0.00072920500628694385987337387601 relative error = 0.12926090267370862686962386080455 % h = 0.001 TOP MAIN SOLVE Loop memory used=1956.9MB, alloc=4.4MB, time=244.42 NO POLE NO POLE x[1] = 0.452 y2[1] (analytic) = 1.8995753709708039833731931975225 y2[1] (numeric) = 1.8910958587590107139079895334721 absolute error = 0.0084795122117932694652036640504 relative error = 0.44638987962134393922284089760123 % h = 0.001 y1[1] (analytic) = 0.56323444281543857756319316437161 y1[1] (numeric) = 0.56397209060756314960887685807806 absolute error = 0.00073764779212457204568369370645 relative error = 0.13096638558488964245271469882421 % h = 0.001 TOP MAIN SOLVE Loop memory used=1960.7MB, alloc=4.4MB, time=244.69 memory used=1964.5MB, alloc=4.4MB, time=244.97 NO POLE NO POLE x[1] = 0.453 y2[1] (analytic) = 1.899138155698765674745686424569 y2[1] (numeric) = 1.8905848303264745541863292275487 absolute error = 0.0085533253722911205593571970203 relative error = 0.45037931267006873000575392416168 % h = 0.001 y1[1] (analytic) = 0.56233508597715738829492786929617 y1[1] (numeric) = 0.56308125015198823793473676924938 absolute error = 0.00074616417483084963980889995321 relative error = 0.1326903110685787036835449625866 % h = 0.001 TOP MAIN SOLVE Loop memory used=1968.4MB, alloc=4.4MB, time=245.24 NO POLE NO POLE x[1] = 0.454 y2[1] (analytic) = 1.898700041288646595529648863792 y2[1] (numeric) = 1.8900724690583122125143939870069 absolute error = 0.0086275722303343830152548767851 relative error = 0.45439364000218037826888815272607 % h = 0.001 y1[1] (analytic) = 0.56143616680375374979432144492579 y1[1] (numeric) = 0.56219092139118874733666839400419 absolute error = 0.0007547545874349975423469490784 relative error = 0.13443284064363045410201534676233 % h = 0.001 TOP MAIN SOLVE Loop memory used=1972.2MB, alloc=4.4MB, time=245.50 memory used=1976.0MB, alloc=4.4MB, time=245.79 NO POLE NO POLE x[1] = 0.455 y2[1] (analytic) = 1.8982610281785611193346267716233 y2[1] (numeric) = 1.8895587740556045903985425514175 absolute error = 0.0087022541229565289360842202058 relative error = 0.45843295488748483754038923944738 % h = 0.001 y1[1] (analytic) = 0.56053768619414676055508377189468 y1[1] (numeric) = 0.56130110565844980005540061424407 absolute error = 0.00076341946430303950031684234939 relative error = 0.13619413700555773073473590541941 % h = 0.001 TOP MAIN SOLVE Loop memory used=1979.8MB, alloc=4.4MB, time=246.06 NO POLE NO POLE x[1] = 0.456 y2[1] (analytic) = 1.8978211168075223196616717221096 y2[1] (numeric) = 1.8890437444198711531052360808357 absolute error = 0.0087773723876511665564356412739 relative error = 0.46249735077330635102372099486988 % h = 0.001 y1[1] (analytic) = 0.55963964504681695531082245130418 y1[1] (numeric) = 0.56041180428795521822316756077312 absolute error = 0.00077215924113826291234510946894 relative error = 0.13797436403449714789142349882521 % h = 0.001 TOP MAIN SOLVE Loop memory used=1983.6MB, alloc=4.4MB, time=246.33 NO POLE NO POLE memory used=1987.4MB, alloc=4.4MB, time=246.61 x[1] = 0.457 y2[1] (analytic) = 1.8973803076154415308903036902821 y2[1] (numeric) = 1.8885273792530708281414980159648 absolute error = 0.0088529283623707027488056743173 relative error = 0.46658692128499745504712618169505 % h = 0.001 y1[1] (analytic) = 0.55874204425980540655458294449053 y1[1] (numeric) = 0.55952301861478708485067169652697 absolute error = 0.00078097435498167829608875203644 relative error = 0.13977368680323235185667981979875 % h = 0.001 TOP MAIN SOLVE Loop memory used=1991.3MB, alloc=4.4MB, time=246.88 NO POLE NO POLE x[1] = 0.458 y2[1] (analytic) = 1.8969386010431279083672133319129 y2[1] (numeric) = 1.8880096776576029032959117343793 absolute error = 0.0089289233855250050713015975336 relative error = 0.47070176022645032607822786501476 % h = 0.001 y1[1] (analytic) = 0.55784488473071282649785091673299 y1[1] (numeric) = 0.5586347499749253039157860961886 absolute error = 0.00078986524421247741793517945561 relative error = 0.14159227158527540213703925313066 % h = 0.001 TOP MAIN SOLVE Loop memory used=1995.1MB, alloc=4.4MB, time=247.15 NO POLE NO POLE x[1] = 0.459 y2[1] (analytic) = 1.8964959975322879875971433709198 y2[1] (numeric) = 1.8874906387363079242392579618842 absolute error = 0.0090053587959800633578854090356 relative error = 0.47484196158060947577740561815323 % h = 0.001 y1[1] (analytic) = 0.55694816735669866946991482582499 y1[1] (numeric) = 0.55774699970524715955443583345187 absolute error = 0.00079883234854849008452100762688 relative error = 0.14343028586300673887140511011897 % h = 0.001 TOP MAIN SOLVE Loop memory used=1998.9MB, alloc=4.4MB, time=247.42 memory used=2002.7MB, alloc=4.4MB, time=247.70 NO POLE NO POLE x[1] = 0.46 y2[1] (analytic) = 1.8960524975255252425363899035004 y2[1] (numeric) = 1.8869702615924685916838943384495 absolute error = 0.0090822359330566508524955650509 relative error = 0.47900761950998579857875762501655 % h = 0.001 y1[1] (analytic) = 0.5560518930344802347584863560711 y1[1] (numeric) = 0.55685976914352687435409928501481 absolute error = 0.00080787610904663959561292894371 relative error = 0.14528789833587419999864086924434 % h = 0.001 TOP MAIN SOLVE Loop memory used=2006.5MB, alloc=4.4MB, time=247.97 NO POLE NO POLE x[1] = 0.461 y2[1] (analytic) = 1.895608101466339642989365325457 y2[1] (numeric) = 1.886448545329810658100979979413 absolute error = 0.009159556136528984888385346044 relative error = 0.48319882835717197630269644577792 % h = 0.001 y1[1] (analytic) = 0.55515606266033176989247585701442 y1[1] (numeric) = 0.55597305962843516675037105776442 absolute error = 0.00081699696810339685789520075 relative error = 0.14716527892865155579953607700978 % h = 0.001 TOP MAIN SOLVE Loop memory used=2010.3MB, alloc=4.4MB, time=248.24 memory used=2014.1MB, alloc=4.4MB, time=248.52 NO POLE NO POLE x[1] = 0.462 y2[1] (analytic) = 1.8951628097991272111086654861145 y2[1] (numeric) = 1.8859254890525038239946483148032 absolute error = 0.0092373207466233871140171713113 relative error = 0.4874156826453592443195231750822 % h = 0.001 y1[1] (analytic) = 0.55426067713008357436781950404435 y1[1] (numeric) = 0.55508687249953880752702914255325 absolute error = 0.0008261953694552331592096385089 relative error = 0.14906259879975703249201497043911 % h = 0.001 TOP MAIN SOLVE Loop memory used=2018.0MB, alloc=4.4MB, time=248.79 NO POLE NO POLE x[1] = 0.463 y2[1] (analytic) = 1.8947166229691795769990845687246 y2[1] (numeric) = 1.8854010918651626337322319326835 absolute error = 0.0093155311040169432668526360411 relative error = 0.49165827707885552379868217109795 % h = 0.001 y1[1] (analytic) = 0.55336573733912110381725445498295 y1[1] (numeric) = 0.55420120909730017542004979446361 absolute error = 0.00083547175817907160279533948066 relative error = 0.15098003034963230065869449413616 % h = 0.001 TOP MAIN SOLVE Loop memory used=2021.8MB, alloc=4.4MB, time=249.06 memory used=2025.6MB, alloc=4.4MB, time=249.33 NO POLE NO POLE x[1] = 0.464 y2[1] (analytic) = 1.8942695414226835334260220933066 y2[1] (numeric) = 1.8848753528728473709296435963673 absolute error = 0.0093941885498361624963784969393 relative error = 0.4959267065436049245938167213544 % h = 0.001 y1[1] (analytic) = 0.55247124418238407462493783279988 y1[1] (numeric) = 0.55331607076307681182601453550752 absolute error = 0.00084482658069273720107670270764 relative error = 0.15291774722918240842512644128904 % h = 0.001 TOP MAIN SOLVE Loop memory used=2029.4MB, alloc=4.4MB, time=249.60 NO POLE NO POLE x[1] = 0.465 y2[1] (analytic) = 1.8938215656067205896287273334791 y2[1] (numeric) = 1.8843482711810649533910180501981 absolute error = 0.009473294425655636237709283281 relative error = 0.50022106610770862332922518899997 % h = 0.001 y1[1] (analytic) = 0.55157719855436556898680491976248 y1[1] (numeric) = 0.55243145883912097461535457131828 absolute error = 0.0008542602847554056285496515558 relative error = 0.15487592434827714348567966547903 % h = 0.001 TOP MAIN SOLVE Loop memory used=2033.2MB, alloc=4.4MB, time=249.87 memory used=2037.0MB, alloc=4.4MB, time=250.15 NO POLE NO POLE x[1] = 0.466 y2[1] (analytic) = 1.8933726959692665242388273340021 y2[1] (numeric) = 1.883819845895769827601719674327 absolute error = 0.0095528500734966966371076596751 relative error = 0.50454145102194712126885760540917 % h = 0.001 y1[1] (analytic) = 0.55068360134911114041756150258825 y1[1] (numeric) = 0.55154737466857919105087880855206 absolute error = 0.00086377331946805063331730596381 relative error = 0.15685473788431431229244093408042 % h = 0.001 TOP MAIN SOLVE Loop memory used=2040.8MB, alloc=4.4MB, time=250.41 NO POLE NO POLE x[1] = 0.467 y2[1] (analytic) = 1.8929229329591909373045856104637 y2[1] (numeric) = 1.8832900761233648627738214955548 absolute error = 0.0096328568358260745307641149089 relative error = 0.50888795672030388656459459600233 % h = 0.001 y1[1] (analytic) = 0.54979045346021791970520486153262 y1[1] (numeric) = 0.5506638195954918098120325544342 absolute error = 0.00087336613527389010682769290158 relative error = 0.1588543652908454289811498534749 % h = 0.001 TOP MAIN SOLVE Loop memory used=2044.7MB, alloc=4.4MB, time=250.68 memory used=2048.5MB, alloc=4.4MB, time=250.96 NO POLE NO POLE x[1] = 0.468 y2[1] (analytic) = 1.892472277026256801421339506815 y2[1] (numeric) = 1.8827589609707022444431615088338 absolute error = 0.0097133160555545569781779979812 relative error = 0.51326067882049038549621420217183 % h = 0.001 y1[1] (analytic) = 0.54889775578083372131396744881682 y1[1] (numeric) = 0.54978079496479255212533487415429 absolute error = 0.00088303918395883081136742533747 relative error = 0.16087498530626431090745185965751 % h = 0.001 TOP MAIN SOLVE Loop memory used=2052.3MB, alloc=4.4MB, time=251.23 NO POLE NO POLE x[1] = 0.469 y2[1] (analytic) = 1.8920207286211200119685650802794 y2[1] (numeric) = 1.8822264995450843676170827124477 absolute error = 0.0097942290760356443514823678317 relative error = 0.51765971312447250733117785031341 % h = 0.001 y1[1] (analytic) = 0.54800550920365615023657685337748 y1[1] (numeric) = 0.54889830212230806200144347563515 absolute error = 0.00089279291865191176486662225767 relative error = 0.16291677796255908200707569946186 % h = 0.001 TOP MAIN SOLVE Loop memory used=2056.1MB, alloc=4.4MB, time=251.50 NO POLE NO POLE x[1] = 0.47 y2[1] (analytic) = 1.8915682881953289364540192765334 y2[1] (numeric) = 1.8816926909542647294719637092042 absolute error = 0.0098755972410642069820555673292 relative error = 0.52208515561899838744815467739067 % h = 0.001 y1[1] (analytic) = 0.54711371462093170929672519960359 y1[1] (numeric) = 0.54801634241475745557929688457342 absolute error = 0.00090262779382574628257168496983 relative error = 0.16497992459412808957534504408767 % h = 0.001 TOP MAIN SOLVE Loop memory used=2059.9MB, alloc=4.4MB, time=251.77 memory used=2063.7MB, alloc=4.4MB, time=252.05 NO POLE NO POLE x[1] = 0.471 y2[1] (analytic) = 1.8911149562013239629654100509787 y2[1] (numeric) = 1.8811575343064488215996471761833 absolute error = 0.0099574218948751413657628747954 relative error = 0.52653710247612763338405391101237 % h = 0.001 y1[1] (analytic) = 0.54622237292445490690264067751721 y1[1] (numeric) = 0.54713491718975186957778456557201 absolute error = 0.0009125442652969626751438880548 relative error = 0.16706460784666024448514960484754 % h = 0.001 TOP MAIN SOLVE Loop memory used=2067.5MB, alloc=4.4MB, time=252.32 NO POLE NO POLE x[1] = 0.472 y2[1] (analytic) = 1.890660733092437047730045984399 y2[1] (numeric) = 1.8806210287102950218018739566884 absolute error = 0.0100397043821420259281720277106 relative error = 0.53101565005376195848024828122475 % h = 0.001 y1[1] (analytic) = 0.54533148500556736525265345075175 y1[1] (numeric) = 0.54625402779579400885539653765662 absolute error = 0.00092254279022664360274308690487 relative error = 0.16917101168608029932856595685407 % h = 0.001 TOP MAIN SOLVE Loop memory used=2071.4MB, alloc=4.4MB, time=252.58 memory used=2075.2MB, alloc=4.4MB, time=252.86 NO POLE NO POLE x[1] = 0.473 y2[1] (analytic) = 1.8902056193228912617829178333128 y2[1] (numeric) = 1.8800831732749154854318309800393 absolute error = 0.0101224460479757763510868532735 relative error = 0.53552089489617722781964777317382 % h = 0.001 y1[1] (analytic) = 0.54444105175515692899364773668793 y1[1] (numeric) = 0.5453736755822776930783049244891 absolute error = 0.00093262382712076408465718780117 relative error = 0.17129932140755958347617374294829 % h = 0.001 TOP MAIN SOLVE Loop memory used=2079.0MB, alloc=4.4MB, time=253.13 NO POLE NO POLE x[1] = 0.474 y2[1] (analytic) = 1.8897496153478003367436653469044 y2[1] (numeric) = 1.879543967109877036281921667734 absolute error = 0.0102056482379233004617436791704 relative error = 0.54005293373455692116232267772478 % h = 0.001 y1[1] (analytic) = 0.54355107406365677433329140022077 y1[1] (numeric) = 0.54449386189948740249733077115824 absolute error = 0.00094278783583062816403937093747 relative error = 0.17344972364459271860020553924176 % h = 0.001 TOP MAIN SOLVE Loop memory used=2082.8MB, alloc=4.4MB, time=253.40 memory used=2086.6MB, alloc=4.4MB, time=253.67 NO POLE NO POLE x[1] = 0.475 y2[1] (analytic) = 1.8892927216231682097028835735269 y2[1] (numeric) = 1.879003409325202057016867938283 absolute error = 0.0102893122979661526860156352439 relative error = 0.54461186348752701760347812518655 % h = 0.001 y1[1] (analytic) = 0.54266155282104451860693394885391 y1[1] (numeric) = 0.54361458809859782283425035054337 absolute error = 0.00095303527755330422731640168946 relative error = 0.17562240637814084280344997487498 % h = 0.001 TOP MAIN SOLVE Loop memory used=2090.4MB, alloc=4.4MB, time=253.95 NO POLE NO POLE x[1] = 0.476 y2[1] (analytic) = 1.8888349386058885672182237704341 y2[1] (numeric) = 1.8784614990313693791512533776885 absolute error = 0.0103734395745191880669703927456 relative error = 0.54919778126169230669374936155561 % h = 0.001 y1[1] (analytic) = 0.54177248891684133030006336214914 y1[1] (numeric) = 0.54273585553167338927789607290649 absolute error = 0.00096336661483205897783271075735 relative error = 0.17781755894584187613575438231289 % h = 0.001 TOP MAIN SOLVE Loop memory used=2094.2MB, alloc=4.4MB, time=254.22 memory used=2098.1MB, alloc=4.4MB, time=254.50 NO POLE NO POLE x[1] = 0.477 y2[1] (analytic) = 1.8883762667537443884207449206015 y2[1] (numeric) = 1.8779182353393151725706175980993 absolute error = 0.0104580314144292158501273225022 relative error = 0.55381078435217413077801821358879 % h = 0.001 y1[1] (analytic) = 0.54088388324011103952721173299992 y1[1] (numeric) = 0.54185766555166782959050800257407 absolute error = 0.00097378231155679006329626957415 relative error = 0.18003537205128836496450715340378 % h = 0.001 TOP MAIN SOLVE Loop memory used=2101.9MB, alloc=4.4MB, time=254.78 NO POLE NO POLE x[1] = 0.478 y2[1] (analytic) = 1.8879167065254074872319727502484 y2[1] (numeric) = 1.877373617360433834595212263621 absolute error = 0.0105430891649736526367604866274 relative error = 0.55845097024314956332524675707909 % h = 0.001 y1[1] (analytic) = 0.53999573667945924896819924174937 y1[1] (numeric) = 0.54098001951242370632479287531891 absolute error = 0.00098428283296445735659363356954 relative error = 0.18227603777337344739508816862677 % h = 0.001 TOP MAIN SOLVE Loop memory used=2105.7MB, alloc=4.4MB, time=255.04 memory used=2109.5MB, alloc=4.4MB, time=255.32 NO POLE NO POLE x[1] = 0.479 y2[1] (analytic) = 1.8874562583804380536921240299613 y2[1] (numeric) = 1.8768276442065788785855297196 absolute error = 0.0106286141738591751065943103613 relative error = 0.56311843660839202803818442071229 % h = 0.001 y1[1] (analytic) = 0.53910805012303244526260552683451 y1[1] (numeric) = 0.54010291876867195815214839934487 absolute error = 0.00099486864563951288954287251036 relative error = 0.18453974957570548671243053084928 % h = 0.001 TOP MAIN SOLVE Loop memory used=2113.3MB, alloc=4.4MB, time=255.59 NO POLE NO POLE x[1] = 0.48 y2[1] (analytic) = 1.8869949227792841943999548311587 y2[1] (numeric) = 1.8762803149900638220887156199265 absolute error = 0.0107146077892203723112392112322 relative error = 0.56781328131181336354822989739458 % h = 0.001 y1[1] (analytic) = 0.53822082445851711086335705741136 y1[1] (numeric) = 0.53922636467603144030251151161202 absolute error = 0.00100554021751432943915445420066 relative error = 0.18682670231609192463601611284008 % h = 0.001 TOP MAIN SOLVE Loop memory used=2117.1MB, alloc=4.4MB, time=255.87 NO POLE NO POLE memory used=2121.0MB, alloc=4.4MB, time=256.15 x[1] = 0.481 y2[1] (analytic) = 1.8865327001832814720646922980094 y2[1] (numeric) = 1.8757316288236630745249774060175 absolute error = 0.0108010713596183975397148919919 relative error = 0.57253560240800733851721956676807 % h = 0.001 y1[1] (analytic) = 0.53733406057313883635031865429955 y1[1] (numeric) = 0.53835035859100846411629014961552 absolute error = 0.00101629801786962776597149531597 relative error = 0.18913709225609291104831429262763 % h = 0.001 TOP MAIN SOLVE Loop memory used=2124.8MB, alloc=4.4MB, time=256.42 NO POLE NO POLE x[1] = 0.482 y2[1] (analytic) = 1.8860695910546524441705103828338 y2[1] (numeric) = 1.8751815848206128244131009511463 absolute error = 0.0108880062340396197574094316875 relative error = 0.57728549814279462198446993060913 % h = 0.001 y1[1] (analytic) = 0.5364477593536614332047768455809 y1[1] (numeric) = 0.53747490187099633570883898664827 absolute error = 0.00102714251733490250406214106737 relative error = 0.19147111707064527177135637230631 % h = 0.001 TOP MAIN SOLVE Loop memory used=2128.6MB, alloc=4.4MB, time=256.69 NO POLE NO POLE x[1] = 0.483 y2[1] (analytic) = 1.8856055958565062007540108804759 y2[1] (numeric) = 1.8746301820946119261341881446744 absolute error = 0.0109754137618942746198227358015 relative error = 0.58206306695376921381402310144442 % h = 0.001 y1[1] (analytic) = 0.53556192168638604704570228229476 y1[1] (numeric) = 0.53659999587427489374794046603298 absolute error = 0.00103807418788884670223818373822 relative error = 0.19382897585775738092831178762985 % h = 0.001 TOP MAIN SOLVE Loop memory used=2132.4MB, alloc=4.4MB, time=256.96 memory used=2136.2MB, alloc=4.4MB, time=257.23 NO POLE NO POLE x[1] = 0.484 y2[1] (analytic) = 1.8851407150528379012951719841238 y2[1] (numeric) = 1.8740774197598227862327286525236 absolute error = 0.0110632952930151150624433316002 relative error = 0.58686840747084634011373193881822 % h = 0.001 y1[1] (analytic) = 0.53467654845715027132867797789364 y1[1] (numeric) = 0.5357256419600100463447533568042 absolute error = 0.00104909350285977501607537891056 relative error = 0.19621086914827550943709618440523 % h = 0.001 TOP MAIN SOLVE Loop memory used=2140.0MB, alloc=4.4MB, time=257.50 NO POLE NO POLE x[1] = 0.485 y2[1] (analytic) = 1.8846749491085283107222274715935 y2[1] (numeric) = 1.8735232969308722492541195528893 absolute error = 0.0111516521776560614681079187042 relative error = 0.59170161851681181851457527559539 % h = 0.001 y1[1] (analytic) = 0.53379164055132726150837967245725 y1[1] (numeric) = 0.53485184148825330705869193985317 absolute error = 0.00106020093692604555031226739592 relative error = 0.1986169989157222262417013310814 % h = 0.001 TOP MAIN SOLVE Loop memory used=2143.8MB, alloc=4.4MB, time=257.77 memory used=2147.7MB, alloc=4.4MB, time=258.05 NO POLE NO POLE x[1] = 0.486 y2[1] (analytic) = 1.884208298489343334530940517158 y2[1] (numeric) = 1.8729678127228524831177470097493 absolute error = 0.0112404857664908514131935074087 relative error = 0.59656279910787289821541409543961 % h = 0.001 y1[1] (analytic) = 0.53290719885382484966549415911054 y1[1] (numeric) = 0.53397859581994133001669981961757 absolute error = 0.00107139696611648035120566050703 relative error = 0.20104756858620743399460399537028 % h = 0.001 TOP MAIN SOLVE Loop memory used=2151.5MB, alloc=4.4MB, time=258.32 NO POLE NO POLE x[1] = 0.487 y2[1] (analytic) = 1.8837407636619335530187370096079 y2[1] (numeric) = 1.8724109662513218640247446111611 absolute error = 0.0113297974106116889939923984468 relative error = 0.60145204845421057971528679237287 % h = 0.001 y1[1] (analytic) = 0.53202322424908465959896094565383 y1[1] (numeric) = 0.53310590631689544414738324200368 absolute error = 0.00108268206781078454842229634985 relative error = 0.20350278304841262606080251893945 % h = 0.001 TOP MAIN SOLVE Loop memory used=2155.3MB, alloc=4.4MB, time=258.59 memory used=2159.1MB, alloc=4.4MB, time=258.86 NO POLE NO POLE x[1] = 0.488 y2[1] (analytic) = 1.8832723450938337546341641423728 y2[1] (numeric) = 1.871852756632305860899543464662 absolute error = 0.0114195884615278937346206777108 relative error = 0.60636946596053341917229604525133 % h = 0.001 y1[1] (analytic) = 0.53113971762108122238442215908945 y1[1] (numeric) = 0.53223377434182118653046968436879 absolute error = 0.00109405672073996414604752527934 relative error = 0.20598284866364895692126897633535 % h = 0.001 TOP MAIN SOLVE Loop memory used=2162.9MB, alloc=4.4MB, time=259.13 NO POLE NO POLE x[1] = 0.489 y2[1] (analytic) = 1.882803043253462468442140926205 y2[1] (numeric) = 1.8712931829822979193643296082962 absolute error = 0.0115098602711645490778113179088 relative error = 0.6113151512266328223451616554627 % h = 0.001 y1[1] (analytic) = 0.53025667985332109239976513452147 y1[1] (numeric) = 0.53136220125830783486205836806641 absolute error = 0.00110552140498674246229323354494 relative error = 0.20848797327598972331142058794197 % h = 0.001 TOP MAIN SOLVE Loop memory used=2166.7MB, alloc=4.4MB, time=259.40 memory used=2170.5MB, alloc=4.4MB, time=259.68 NO POLE NO POLE x[1] = 0.49 y2[1] (analytic) = 1.8823328586101214957054681591367 y2[1] (numeric) = 1.8707322444182603452455247628849 absolute error = 0.0116006141918611504599433962518 relative error = 0.61628920404793983309060320949314 % h = 0.001 y1[1] (analytic) = 0.52937411182884196381864166281204 y1[1] (numeric) = 0.53049118843082793903613022826472 absolute error = 0.00111707660198597521748856545268 relative error = 0.21101836622247785873914161982576 % h = 0.001 TOP MAIN SOLVE Loop memory used=2174.4MB, alloc=4.4MB, time=259.95 NO POLE NO POLE x[1] = 0.491 y2[1] (analytic) = 1.8818617916339954405830662721614 y2[1] (numeric) = 1.8701699400576251876114069191326 absolute error = 0.0116918515763702529716593530288 relative error = 0.62129172441608342140687392348912 % h = 0.001 y1[1] (analytic) = 0.52849201443021178757284740340174 y1[1] (numeric) = 0.52962073722473685184278575948942 absolute error = 0.00112872279452506426993835608768 relative error = 0.2135742383434090493874676299092 % h = 0.001 TOP MAIN SOLVE Loop memory used=2178.2MB, alloc=4.4MB, time=260.22 NO POLE NO POLE memory used=2182.0MB, alloc=4.4MB, time=260.50 x[1] = 0.492 y2[1] (analytic) = 1.8813898427961512399454103523624 y2[1] (numeric) = 1.8696062690182951213399877220225 absolute error = 0.0117835737778561186054226303399 relative error = 0.62632281251945027603099279104772 % h = 0.001 y1[1] (analytic) = 0.52761038853952788878444449984064 y1[1] (numeric) = 0.52875084900627225878368003861383 absolute error = 0.00114046046674436999923553877319 relative error = 0.21615580199269108481982510721135 % h = 0.001 TOP MAIN SOLVE Loop memory used=2185.8MB, alloc=4.4MB, time=260.77 NO POLE NO POLE x[1] = 0.493 y2[1] (analytic) = 1.8809170125685376923076325280146 y2[1] (numeric) = 1.8690412304186443292162640846965 absolute error = 0.0118757821498933630913684433181 relative error = 0.63138256874374610661451647562344 % h = 0.001 y1[1] (analytic) = 0.52672923503841608466850996583417 y1[1] (numeric) = 0.5278815251425537070051251098222 absolute error = 0.00115229010413762233661514398803 relative error = 0.21876327104828006237125508519982 % h = 0.001 TOP MAIN SOLVE Loop memory used=2189.6MB, alloc=4.4MB, time=261.04 NO POLE NO POLE x[1] = 0.494 y2[1] (analytic) = 1.8804433014239849858807627825173 y2[1] (numeric) = 1.868474823377519383557961934643 absolute error = 0.0119684780464656023228008478743 relative error = 0.63647109367255846052005555374089 % h = 0.001 y1[1] (analytic) = 0.52584855480802980290739193898176 y1[1] (numeric) = 0.52701276700158213334933079840447 absolute error = 0.00116421219355233044193885942271 relative error = 0.22139686092269406962789934564672 % h = 0.001 TOP MAIN SOLVE Loop memory used=2193.4MB, alloc=4.4MB, time=261.31 memory used=2197.2MB, alloc=4.4MB, time=261.59 NO POLE NO POLE x[1] = 0.495 y2[1] (analytic) = 1.8799687098362042257415801458792 y2[1] (numeric) = 1.8679070470142401273688904665208 absolute error = 0.0120616628219640983726896793584 relative error = 0.6415884880879210592981720154778 % h = 0.001 y1[1] (analytic) = 0.52496834872904920049735542787856 y1[1] (numeric) = 0.52614457595223939152425590210242 absolute error = 0.00117622722319019102690047422386 relative error = 0.2240567885736049749697589659599 % h = 0.001 TOP MAIN SOLVE Loop memory used=2201.1MB, alloc=4.4MB, time=261.86 NO POLE NO POLE x[1] = 0.496 y2[1] (analytic) = 1.8794932382797869601215470938628 y2[1] (numeric) = 1.8673379004486005550190257483396 absolute error = 0.0121553378311864051025213455232 relative error = 0.64673485297087965992179665499081 % h = 0.001 y1[1] (analytic) = 0.52408861768168028306849870586105 y1[1] (numeric) = 0.5252769533642877783925425901166 absolute error = 0.00118833568260749532404388425555 relative error = 0.2267432725145089617789203274254 % h = 0.001 TOP MAIN SOLVE Loop memory used=2204.9MB, alloc=4.4MB, time=262.13 memory used=2208.7MB, alloc=4.4MB, time=262.41 NO POLE NO POLE x[1] = 0.497 y2[1] (analytic) = 1.8790168872302047058153008658165 y2[1] (numeric) = 1.8667673828008696924504430009856 absolute error = 0.0122495044293350133648578648309 relative error = 0.65191028950205944587287643040467 % h = 0.001 y1[1] (analytic) = 0.52320936254565402467882103140682 y1[1] (numeric) = 0.52440990060836955938000772080009 absolute error = 0.00120053806271553470118668939327 relative error = 0.22945653282547644759766302825156 % h = 0.001 TOP MAIN SOLVE Loop memory used=2212.5MB, alloc=4.4MB, time=262.68 NO POLE NO POLE x[1] = 0.498 y2[1] (analytic) = 1.8785396571638084727091762926628 y2[1] (numeric) = 1.8661954931917924769082173452345 absolute error = 0.0123441639720159958009589474283 relative error = 0.6571148990622339531936033321017 % h = 0.001 y1[1] (analytic) = 0.52233058420022548808332190104733 y1[1] (numeric) = 0.52354341905600649300416566950832 absolute error = 0.00121283485578100492084376846099 relative error = 0.23219679116398203525870385757312 % h = 0.001 TOP MAIN SOLVE Loop memory used=2216.3MB, alloc=4.4MB, time=262.95 memory used=2220.1MB, alloc=4.4MB, time=263.22 NO POLE NO POLE x[1] = 0.499 y2[1] (analytic) = 1.8780615485578282874302356064793 y2[1] (numeric) = 1.8656222307425906361954132854232 absolute error = 0.0124393178152376512348223210561 relative error = 0.66234878323289553663228806807211 % h = 0.001 y1[1] (analytic) = 0.52145228352417294547901156562125 y1[1] (numeric) = 0.52267751007959935452325813804248 absolute error = 0.00122522655542640904424657242123 relative error = 0.2349642707758151488038842809889 % h = 0.001 TOP MAIN SOLVE Loop memory used=2224.0MB, alloc=4.4MB, time=263.49 NO POLE NO POLE x[1] = 0.5 y2[1] (analytic) = 1.8775825618903727161162815826038 y2[1] (numeric) = 1.8650475945749635674512836748656 absolute error = 0.0125349673154091486649979077382 relative error = 0.66761204379682738103172425096335 % h = 0.001 y1[1] (analytic) = 0.52057446139579699972671206478443 y1[1] (numeric) = 0.52181217505242745870626729661696 absolute error = 0.00123771365663045897955523183253 relative error = 0.23775919650607201285847581883451 % h = 0.001 TOP MAIN SOLVE Loop memory used=2227.8MB, alloc=4.4MB, time=263.76 memory used=2231.6MB, alloc=4.4MB, time=264.04 NO POLE NO POLE x[1] = 0.501 y2[1] (analytic) = 1.8771026976404283863073312442114 y2[1] (numeric) = 1.8644715838110892154517993848847 absolute error = 0.0126311138293391708555318593267 relative error = 0.67290478273867706312574205269616 % h = 0.001 y1[1] (analytic) = 0.5196971186929197060505275579023 y1[1] (numeric) = 0.52094741534864818172438948829795 absolute error = 0.00125029665572847567386193039565 relative error = 0.24058179481022964003656526152001 % h = 0.001 TOP MAIN SOLVE Loop memory used=2235.4MB, alloc=4.4MB, time=264.31 NO POLE NO POLE x[1] = 0.502 y2[1] (analytic) = 1.8766219562878595079590282378478 y2[1] (numeric) = 1.8638941975736249504316313770067 absolute error = 0.0127277587142345575273968608411 relative error = 0.67822710224553166892757477799246 % h = 0.001 y1[1] (analytic) = 0.51882025629288369421586225178126 y1[1] (numeric) = 0.52008323234329648216444760439967 absolute error = 0.00126297605041278794858535261841 relative error = 0.24343229376530249691930388783316 % h = 0.001 TOP MAIN SOLVE Loop memory used=2239.2MB, alloc=4.4MB, time=264.57 NO POLE NO POLE memory used=2243.0MB, alloc=4.4MB, time=264.85 x[1] = 0.503 y2[1] (analytic) = 1.8761403383134073935784728664688 y2[1] (numeric) = 1.8633154349857084454267073564063 absolute error = 0.0128249033276989481517655100625 relative error = 0.68357910470749447191165780056264 % h = 0.001 y1[1] (analytic) = 0.51794387507255129118686374714781 y1[1] (numeric) = 0.5192196274122844211647211173859 absolute error = 0.00127575233973312997785737023809 relative error = 0.24631092308108252517278287513258 % h = 0.001 TOP MAIN SOLVE Loop memory used=2246.8MB, alloc=4.4MB, time=265.12 NO POLE NO POLE x[1] = 0.504 y2[1] (analytic) = 1.8756578441986899774829496441145 y2[1] (numeric) = 1.8627352951709585531364656641212 absolute error = 0.0129225490277314243464839799933 relative error = 0.68896089271826317720854710600586 % h = 0.001 y1[1] (analytic) = 0.51706797590830364426416914635909 y1[1] (numeric) = 0.51835660193240068167367363540682 absolute error = 0.00128862602409703740950448904773 relative error = 0.24921791411146320045655926379542 % h = 0.001 TOP MAIN SOLVE Loop memory used=2250.7MB, alloc=4.4MB, time=265.39 NO POLE NO POLE x[1] = 0.505 y2[1] (analytic) = 1.8751744744262013341820331134515 y2[1] (numeric) = 1.8621537772534761823049295458537 absolute error = 0.0130206971727251518771035675978 relative error = 0.69437256907570973705078459926177 % h = 0.001 y1[1] (analytic) = 0.51619255967603984470383078452566 y1[1] (numeric) = 0.5174941572813100868320587197035 absolute error = 0.00130159760527024212822793517784 relative error = 0.25215349986584831791803880764495 % h = 0.001 TOP MAIN SOLVE Loop memory used=2254.5MB, alloc=4.4MB, time=265.67 memory used=2258.3MB, alloc=4.4MB, time=265.95 NO POLE NO POLE x[1] = 0.506 y2[1] (analytic) = 1.8746902294793111958835535440366 y2[1] (numeric) = 1.8615708803578451736197254163589 absolute error = 0.0131193491214660222638281276777 relative error = 0.6998142367824617427257496661044 % h = 0.001 y1[1] (analytic) = 0.51531762725117605181829796504763 y1[1] (numeric) = 0.51663229483755311747888558273415 absolute error = 0.00131466758637706566058761768652 relative error = 0.25511791502064619927266684037172 % h = 0.001 TOP MAIN SOLVE Loop memory used=2262.1MB, alloc=4.4MB, time=266.21 NO POLE NO POLE x[1] = 0.507 y2[1] (analytic) = 1.8742051098422644691239050052961 y2[1] (numeric) = 1.8609866036091331751281692204742 absolute error = 0.0132185062331312939957357848219 relative error = 0.7052859990464853983098215353436 % h = 0.001 y1[1] (analytic) = 0.51444317950864461756033059850955 y1[1] (numeric) = 0.51577101598054542878172716101618 absolute error = 0.00132783647190081122139656250663 relative error = 0.25811139593085002273583642830265 % h = 0.001 TOP MAIN SOLVE Loop memory used=2265.9MB, alloc=4.4MB, time=266.49 memory used=2269.7MB, alloc=4.4MB, time=266.77 NO POLE NO POLE x[1] = 0.508 y2[1] (analytic) = 1.8737191160001807505231791838722 y2[1] (numeric) = 1.8604009461328925171695454747765 absolute error = 0.0133181698672882333536337090957 relative error = 0.71078795928167008147653507915623 % h = 0.001 y1[1] (analytic) = 0.51356921732289321159072016094739 y1[1] (numeric) = 0.51491032209057736599185393233572 absolute error = 0.00134110476768415440113377138833 relative error = 0.26113418064170498340025264989871 % h = 0.001 TOP MAIN SOLVE Loop memory used=2273.5MB, alloc=4.4MB, time=267.04 NO POLE NO POLE x[1] = 0.509 y2[1] (analytic) = 1.873232248439053841665609190164 y2[1] (numeric) = 1.859813907055161086822704057661 absolute error = 0.013418341383892754842905132503 relative error = 0.71632022110841449668984412328896 % h = 0.001 y1[1] (analytic) = 0.51269574156788394683069290369378 y1[1] (numeric) = 0.51405021454881347932467772215043 absolute error = 0.00135447298092953249398481845665 relative error = 0.26418650890046299804285859849611 % h = 0.001 TOP MAIN SOLVE Loop memory used=2277.4MB, alloc=4.4MB, time=267.31 memory used=2281.2MB, alloc=4.4MB, time=267.59 NO POLE NO POLE x[1] = 0.51 y2[1] (analytic) = 1.8727445076457512631058084735755 y2[1] (numeric) = 1.8592254855024632018681003003175 absolute error = 0.013519022143288061237708173258 relative error = 0.72188288835421442611211142762052 % h = 0.001 y1[1] (analytic) = 0.51182275311709250549986976232543 y1[1] (numeric) = 0.51319069473729203796599061870142 absolute error = 0.00136794162019953246612085637599 relative error = 0.26726862216822567479900616940957 % h = 0.001 TOP MAIN SOLVE Loop memory used=2285.0MB, alloc=4.4MB, time=267.86 NO POLE NO POLE x[1] = 0.511 y2[1] (analytic) = 1.8722558941080137675012908401947 y2[1] (numeric) = 1.8586356806018104842634044166374 absolute error = 0.0136202135062032832378864235573 relative error = 0.7274760650542520835750235544153 % h = 0.001 y1[1] (analytic) = 0.51095025284350726564065692667989 y1[1] (numeric) = 0.51233176403892454320448499055474 absolute error = 0.00138151119541727756382806387485 relative error = 0.2703807636318762746590242510874 % h = 0.001 TOP MAIN SOLVE Loop memory used=2288.8MB, alloc=4.4MB, time=268.13 memory used=2292.6MB, alloc=4.4MB, time=268.41 NO POLE NO POLE x[1] = 0.512 y2[1] (analytic) = 1.8717664083144548518717584403411 y2[1] (numeric) = 1.8580444914807027331318067965145 absolute error = 0.0137219168337521187399516438266 relative error = 0.73309985545198707698028217958655 % h = 0.001 y1[1] (analytic) = 0.51007824161962842812994054747852 y1[1] (numeric) = 0.51147342383749524069104147401202 absolute error = 0.0013951822178668125611009265335 relative error = 0.27352317821610139832438794050067 % h = 0.001 TOP MAIN SOLVE Loop memory used=2296.4MB, alloc=4.4MB, time=268.68 NO POLE NO POLE x[1] = 0.513 y2[1] (analytic) = 1.8712760507545602689856454666536 y2[1] (numeric) = 1.8574519172671287972621461743068 absolute error = 0.0138241334874314717234992923468 relative error = 0.73875436399974898451565133810387 % h = 0.001 y1[1] (analytic) = 0.50920672031746714417895856778793 y1[1] (numeric) = 0.51061567551766063182527267106144 absolute error = 0.00140895520019348764631410327351 relative error = 0.27669611259550313860802225601323 % h = 0.001 TOP MAIN SOLVE Loop memory used=2300.2MB, alloc=4.4MB, time=268.95 memory used=2304.1MB, alloc=4.4MB, time=269.23 NO POLE NO POLE x[1] = 0.514 y2[1] (analytic) = 1.8707848219186875378744061761341 y2[1] (numeric) = 1.8568579570895674471199881724044 absolute error = 0.0139268648291200907544180037297 relative error = 0.74443969535933155009074294486654 % h = 0.001 y1[1] (analytic) = 0.50833568980854464332222217937555 y1[1] (numeric) = 0.50975852046494898426981117128481 absolute error = 0.00142283065640434094758899190926 relative error = 0.27989981520680244527658810155972 % h = 0.001 TOP MAIN SOLVE Loop memory used=2307.9MB, alloc=4.4MB, time=269.50 NO POLE NO POLE x[1] = 0.515 y2[1] (analytic) = 1.8702927222980654534750367218189 y2[1] (numeric) = 1.856262610076988246368782208897 absolute error = 0.0140301122210772071062545129219 relative error = 0.75015595440258850341580101604782 % h = 0.001 y1[1] (analytic) = 0.5074651509638913618963589149652 y1[1] (numeric) = 0.50890196006575984159283138339178 absolute error = 0.00143680910186847969647246842658 relative error = 0.28313453626113445601261078664378 % h = 0.001 TOP MAIN SOLVE Loop memory used=2311.7MB, alloc=4.4MB, time=269.77 NO POLE NO POLE x[1] = 0.516 y2[1] (analytic) = 1.8697997523847935954013211515137 y2[1] (numeric) = 1.8556658753588524229002252482574 absolute error = 0.0141338770259411725010959032563 relative error = 0.75590324621203101016569865272616 % h = 0.001 y1[1] (analytic) = 0.50659510465404607200974889747675 y1[1] (numeric) = 0.50804599570736353203929553381856 absolute error = 0.00145089105331746002954663634181 relative error = 0.28640052775643655402174444213239 % h = 0.001 TOP MAIN SOLVE Loop memory used=2315.5MB, alloc=4.4MB, time=270.03 memory used=2319.3MB, alloc=4.4MB, time=270.31 NO POLE NO POLE x[1] = 0.517 y2[1] (analytic) = 1.8693059126718418358442928023069 y2[1] (numeric) = 1.8550677520651137393729613647492 absolute error = 0.0142381606067280964713314375577 relative error = 0.76168167608142675769039136099441 % h = 0.001 y1[1] (analytic) = 0.50572555174905501100382527654134 y1[1] (numeric) = 0.50719062877790067643141506110424 absolute error = 0.0014650770288456654275897845629 relative error = 0.28969804348992991972604988421979 % h = 0.001 TOP MAIN SOLVE Loop memory used=2323.1MB, alloc=4.4MB, time=270.58 NO POLE NO POLE x[1] = 0.518 y2[1] (analytic) = 1.8688112036530498466024031903571 y2[1] (numeric) = 1.8544682393262193632587465799319 absolute error = 0.0143429643268304833436566104252 relative error = 0.76749134951640068175217599297926 % h = 0.001 y1[1] (analytic) = 0.50485649311847101140690939091887 y1[1] (numeric) = 0.50633586066638169519881950554226 absolute error = 0.00147936754791068379191011462339 relative error = 0.29302733907069535096863814639086 % h = 0.001 TOP MAIN SOLVE Loop memory used=2326.9MB, alloc=4.4MB, time=270.85 memory used=2330.8MB, alloc=4.4MB, time=271.13 NO POLE NO POLE x[1] = 0.519 y2[1] (analytic) = 1.8683156258231266052418913657465 y2[1] (numeric) = 1.8538673362731107363952089281715 absolute error = 0.014448289550015868846682437575 relative error = 0.77333237223503733978928682687386 % h = 0.001 y1[1] (analytic) = 0.50398792963135263138145070291028 y1[1] (numeric) = 0.50548169276268631453892586389707 absolute error = 0.00149376313133368315747516098679 relative error = 0.29638867193234413320914499310708 % h = 0.001 TOP MAIN SOLVE Loop memory used=2334.6MB, alloc=4.4MB, time=271.40 NO POLE NO POLE x[1] = 0.52 y2[1] (analytic) = 1.8678191796776499003878475719885 y2[1] (numeric) = 1.8532650420372244440443341974681 absolute error = 0.0145541376404254563435133745204 relative error = 0.77920485016848493622461938679792 % h = 0.001 y1[1] (analytic) = 0.50311986215626328566554105745225 y1[1] (numeric) = 0.50462812645756307170800224877549 absolute error = 0.00150826430129978604246119132324 relative error = 0.2997823013457847483140100257191 % h = 0.001 TOP MAIN SOLVE Loop memory used=2338.4MB, alloc=4.4MB, time=271.67 memory used=2342.2MB, alloc=4.4MB, time=271.95 NO POLE NO POLE x[1] = 0.521 y2[1] (analytic) = 1.8673218657130658361464659190853 y2[1] (numeric) = 1.8526613557504930834558082871883 absolute error = 0.014660509962572752690657631897 relative error = 0.78510888946156100535770886315444 % h = 0.001 y1[1] (analytic) = 0.50225229156127037700957232430744 y1[1] (numeric) = 0.50377516314262881944342056154787 absolute error = 0.00152287158135844243384823724043 relative error = 0.30320848843208621774120318294546 % h = 0.001 TOP MAIN SOLVE Loop memory used=2346.0MB, alloc=4.4MB, time=272.22 NO POLE NO POLE x[1] = 0.522 y2[1] (analytic) = 1.8668236844266883356589816478407 y2[1] (numeric) = 1.852056276545346131934347619431 absolute error = 0.0147674078813422037246340284097 relative error = 0.79104459647335975739750376047327 % h = 0.001 y1[1] (analytic) = 0.50138521871394442810890598662047 y1[1] (numeric) = 0.50292280421036822951759375652507 absolute error = 0.0015375854964238014086877699046 relative error = 0.30666749617543888318664624675659 % h = 0.001 TOP MAIN SOLVE Loop memory used=2349.8MB, alloc=4.4MB, time=272.50 memory used=2353.7MB, alloc=4.4MB, time=272.77 NO POLE NO POLE x[1] = 0.523 y2[1] (analytic) = 1.866324636316698643787789431451 y2[1] (numeric) = 1.8514498035547108144101495367704 absolute error = 0.0148748327619878293776398946806 relative error = 0.79701207777786109321296700323081 % h = 0.001 y1[1] (analytic) = 0.50051864448135821403342274309759 y1[1] (numeric) = 0.50207105105413329542409414241266 absolute error = 0.00155240657277508139067139931507 relative error = 0.31015958943621343509990125600102 % h = 0.001 TOP MAIN SOLVE Loop memory used=2357.5MB, alloc=4.4MB, time=273.04 NO POLE NO POLE x[1] = 0.524 y2[1] (analytic) = 1.865824721882144828935240028212 y2[1] (numeric) = 1.850841935912012970511595115996 absolute error = 0.014982785970131858423644912216 relative error = 0.80301144016454129339810650342562 % h = 0.001 y1[1] (analytic) = 0.49965256973008589515481969418814 y1[1] (numeric) = 0.50121990506814283419645003488257 absolute error = 0.00156733533805693904163034069443 relative error = 0.3136850349641190068905346311274 % h = 0.001 TOP MAIN SOLVE Loop memory used=2361.3MB, alloc=4.4MB, time=273.31 memory used=2365.1MB, alloc=4.4MB, time=273.59 NO POLE NO POLE x[1] = 0.525 y2[1] (analytic) = 1.8653239416229412839956134665064 y2[1] (numeric) = 1.8502326727511779211393373252207 absolute error = 0.0150912688717633628562761412857 relative error = 0.80904279063898538726768547076034 % h = 0.001 y1[1] (analytic) = 0.4987869953262021505725221848984 y1[1] (numeric) = 0.50036936764748198736011894142399 absolute error = 0.00158237232127983678759675652559 relative error = 0.31724410141146116013471782959245 % h = 0.001 TOP MAIN SOLVE Loop memory used=2368.9MB, alloc=4.4MB, time=273.86 NO POLE NO POLE x[1] = 0.526 y2[1] (analytic) = 1.864822296039868226440767810055 y2[1] (numeric) = 1.8496220132066313345409079503406 absolute error = 0.0152002828332368918998598597144 relative error = 0.81510623642350120741958986251887 % h = 0.001 y1[1] (analytic) = 0.49792192213528131203907687825382 y1[1] (numeric) = 0.49951944018810172101813632645884 absolute error = 0.00159751805282040897905944820502 relative error = 0.32083705934650059365490448696531 % h = 0.001 TOP MAIN SOLVE Loop memory used=2372.7MB, alloc=4.4MB, time=274.12 NO POLE NO POLE x[1] = 0.527 y2[1] (analytic) = 1.8643197856345711975399634177419 y2[1] (numeric) = 1.8490099564133000918849772163109 absolute error = 0.015309829221271105654986201431 memory used=2376.5MB, alloc=4.4MB, time=274.39 relative error = 0.82120188495773513551963666323826 % h = 0.001 y1[1] (analytic) = 0.49705735102239649838589213394419 y1[1] (numeric) = 0.49867012408681832507093987103127 absolute error = 0.00161277306442182668504773708708 relative error = 0.32446418126691341698465187692353 % h = 0.001 TOP MAIN SOLVE Loop memory used=2380.4MB, alloc=4.4MB, time=274.67 NO POLE NO POLE x[1] = 0.528 y2[1] (analytic) = 1.8638164109095605607143634781479 y2[1] (numeric) = 1.8483965015066131523344005290517 absolute error = 0.0154199094029474083799629490962 relative error = 0.82732984389928954498449249227197 % h = 0.001 y1[1] (analytic) = 0.49619328285211875045019126633951 y1[1] (numeric) = 0.49782142074131291157087000720531 absolute error = 0.0016281378891941611206787408658 relative error = 0.32812574161335383644666251048489 % h = 0.001 TOP MAIN SOLVE Loop memory used=2384.2MB, alloc=4.4MB, time=274.94 NO POLE NO POLE x[1] = 0.529 y2[1] (analytic) = 1.8633121723682109990267124642498 y2[1] (numeric) = 1.8477816476225024176171872650082 absolute error = 0.0155305247457085814095251992416 relative error = 0.83349022112434194625833770122351 % h = 0.001 y1[1] (analytic) = 0.49532971848851616650404375485096 y1[1] (numeric) = 0.49697333155013091221184837262826 absolute error = 0.0016436130616147457078046177773 relative error = 0.33182201678312010986575102457168 % h = 0.001 TOP MAIN SOLVE Loop memory used=2388.0MB, alloc=4.4MB, time=275.22 memory used=2391.8MB, alloc=4.4MB, time=275.50 NO POLE NO POLE x[1] = 0.53 y2[1] (analytic) = 1.8628070705147610118066950185642 y2[1] (numeric) = 1.847165393897403596094527037469 absolute error = 0.0156416766173574157121679810952 relative error = 0.839683124728265840398956984498 % h = 0.001 y1[1] (analytic) = 0.49446665879515303818633897753392 y1[1] (numeric) = 0.49612585791268157495473669553948 absolute error = 0.00165919911752853676839771800556 relative error = 0.33555328514392463381054340913041 % h = 0.001 TOP MAIN SOLVE Loop memory used=2395.6MB, alloc=4.4MB, time=275.78 NO POLE NO POLE x[1] = 0.531 y2[1] (analytic) = 1.8623011058543124104124786433371 y2[1] (numeric) = 1.8465477394682570663250093716878 absolute error = 0.0157533663860553440874692716493 relative error = 0.84590866302625328670906392904653 % h = 0.001 y1[1] (analytic) = 0.49360410463508898693856653588713 y1[1] (numeric) = 0.49527900122923745978887948482382 absolute error = 0.00167489659414847285031294893669 relative error = 0.33931982704776903520915143952243 % h = 0.001 TOP MAIN SOLVE Loop memory used=2399.4MB, alloc=4.4MB, time=276.04 memory used=2403.2MB, alloc=4.4MB, time=276.32 NO POLE NO POLE x[1] = 0.532 y2[1] (analytic) = 1.861794278892829813128944434192 y2[1] (numeric) = 1.8459286834725087401241732246612 absolute error = 0.0158655954203210730047712095308 relative error = 0.85216694455393919016887421812429 % h = 0.001 y1[1] (analytic) = 0.49274205687087810094526673499584 y1[1] (numeric) = 0.49443276290093393363033476352492 absolute error = 0.00169070603005583268506802852908 relative error = 0.34312192484492514721570651654486 % h = 0.001 TOP MAIN SOLVE Loop memory used=2407.1MB, alloc=4.4MB, time=276.59 NO POLE NO POLE x[1] = 0.533 y2[1] (analytic) = 1.8612865901371401392031109589661 y2[1] (numeric) = 1.8453082250481109251185232900846 absolute error = 0.0159783650890292140845876688815 relative error = 0.85845807806802731444623072652259 % h = 0.001 y1[1] (analytic) = 0.49188051636456807258001427849642 y1[1] (numeric) = 0.49358714432976866435729794754554 absolute error = 0.00170662796520059177728366904912 relative error = 0.34695986289802275731736595380548 % h = 0.001 TOP MAIN SOLVE Loop memory used=2410.9MB, alloc=4.4MB, time=276.87 memory used=2414.7MB, alloc=4.4MB, time=277.14 NO POLE NO POLE x[1] = 0.534 y2[1] (analytic) = 1.8607780400949321020172572462665 y2[1] (numeric) = 1.8446863633335231867931505345426 absolute error = 0.0160916767614089152241067117239 relative error = 0.86478217254691802628095384853904 % h = 0.001 y1[1] (analytic) = 0.491019483977699336357797732307 y1[1] (numeric) = 0.49274214691860111398322483406898 absolute error = 0.00172266294090177762542710176198 relative error = 0.35083392759624502386611359077273 % h = 0.001 TOP MAIN SOLVE Loop memory used=2418.5MB, alloc=4.4MB, time=277.41 NO POLE NO POLE x[1] = 0.535 y2[1] (analytic) = 1.8602686292747557014002517105828 y2[1] (numeric) = 1.8440630974677132100320949173838 absolute error = 0.016205531807042491368156793199 relative error = 0.8711393371913377770605424362984 % h = 0.001 y1[1] (analytic) = 0.49015896057130420739465680467269 y1[1] (numeric) = 0.49189777207115203096816052653621 absolute error = 0.00173881149984782357350372186352 relative error = 0.35474440736963246549726860135663 % h = 0.001 TOP MAIN SOLVE Loop memory used=2422.3MB, alloc=4.4MB, time=277.68 memory used=2426.1MB, alloc=4.4MB, time=277.96 NO POLE NO POLE x[1] = 0.536 y2[1] (analytic) = 1.8597583581860217150775947025839 y2[1] (numeric) = 1.8434384265901576601505887539906 absolute error = 0.0163199315958640549270059485933 relative error = 0.87752968142497032742488504550095 % h = 0.001 y1[1] (analytic) = 0.48929894700590602037543898281642 y1[1] (numeric) = 0.49105402119200294166878198480763 absolute error = 0.00175507418609692129334300199121 relative error = 0.35869159270349643625800545282827 % h = 0.001 TOP MAIN SOLVE Loop memory used=2429.9MB, alloc=4.4MB, time=278.23 NO POLE NO POLE x[1] = 0.537 y2[1] (analytic) = 1.8592472273390011892606832345142 y2[1] (numeric) = 1.8428123498408430434183196902712 absolute error = 0.016434877498158145842363544243 relative error = 0.88395331489508972075825814283432 % h = 0.001 y1[1] (analytic) = 0.48843944414151826903053655836697 y1[1] (numeric) = 0.49021089568659564092766275042441 absolute error = 0.00177145154507737189712619205744 relative error = 0.3626757761529430077152990167389 % h = 0.001 TOP MAIN SOLVE Loop memory used=2433.8MB, alloc=4.4MB, time=278.50 NO POLE NO POLE memory used=2437.6MB, alloc=4.4MB, time=278.77 x[1] = 0.538 y2[1] (analytic) = 1.8587352372448249283758072913827 y2[1] (numeric) = 1.8421848663602665670728527651833 absolute error = 0.0165503708845583613029545261994 relative error = 0.89041034747319501144758787850394 % h = 0.001 y1[1] (analytic) = 0.48758045283764374612246456475538 y1[1] (numeric) = 0.48936839696123168180226925766232 absolute error = 0.00178794412358793567980469290694 relative error = 0.36669725235750818784447777983381 % h = 0.001 TOP MAIN SOLVE Loop memory used=2441.4MB, alloc=4.4MB, time=279.05 NO POLE NO POLE x[1] = 0.539 y2[1] (analytic) = 1.8582223884154829839333879989048 y2[1] (numeric) = 1.8415559752894369988223515479388 absolute error = 0.016666413126045985111036450966 relative error = 0.89690088925564675380673532574824 % h = 0.001 y1[1] (analytic) = 0.48672197395327368394313963993034 y1[1] (numeric) = 0.4885265264230718644341990013392 absolute error = 0.00180455246979818049105936140886 relative error = 0.37075631805590541511794209792893 % h = 0.001 TOP MAIN SOLVE Loop memory used=2445.2MB, alloc=4.4MB, time=279.31 NO POLE NO POLE x[1] = 0.54 y2[1] (analytic) = 1.8577086813638241425379687789178 y2[1] (numeric) = 1.8409256757698755258367388472396 absolute error = 0.0167830055939486167012299316782 relative error = 0.90342505056430525758743209552582 % h = 0.001 y1[1] (analytic) = 0.48586400834688689532271931704176 y1[1] (numeric) = 0.48768528548013572405917169209522 absolute error = 0.00182127713324882873645237505346 relative error = 0.37485327210088627491954198576441 % h = 0.001 TOP MAIN SOLVE Loop memory used=2449.0MB, alloc=4.4MB, time=279.59 memory used=2452.8MB, alloc=4.4MB, time=279.87 NO POLE NO POLE x[1] = 0.541 y2[1] (analytic) = 1.8571941166035554130394714822349 y2[1] (numeric) = 1.8402939669436166132264380014565 absolute error = 0.0169001496599387998130334807784 relative error = 0.90998294194717061601844430837104 % h = 0.001 y1[1] (analytic) = 0.485006556876448915150860734182 y1[1] (numeric) = 0.48684467554130101815828538911226 absolute error = 0.00183811866485210300742465493026 relative error = 0.3789884154742153942045800504482 % h = 0.001 TOP MAIN SOLVE Loop memory used=2456.7MB, alloc=4.4MB, time=280.14 NO POLE NO POLE x[1] = 0.542 y2[1] (analytic) = 1.8566786946492415128262303476392 y2[1] (numeric) = 1.8396608479532088620078362710801 absolute error = 0.0170178466960326508183940765591 relative error = 0.91657467417902451233557840953604 % h = 0.001 y1[1] (analytic) = 0.48414962039941114241125724185424 y1[1] (numeric) = 0.48600469801630321275105045897341 absolute error = 0.00185507761689207033979321711917 relative error = 0.38316205130176047920939151806818 % h = 0.001 TOP MAIN SOLVE Loop memory used=2460.5MB, alloc=4.4MB, time=280.41 memory used=2464.3MB, alloc=4.4MB, time=280.68 NO POLE NO POLE x[1] = 0.543 y2[1] (analytic) = 1.8561624160163043532603174939409 y2[1] (numeric) = 1.8390263179417158665546123680527 absolute error = 0.0171360980745884867057051258882 relative error = 0.92320035826207381078626261077617 % h = 0.001 y1[1] (analytic) = 0.48329319977270998273031087355997 y1[1] (numeric) = 0.48516535431573496783071506758588 absolute error = 0.00187215454302498510040419402591 relative error = 0.38737448486869846998894833825938 % h = 0.001 TOP MAIN SOLVE Loop memory used=2468.1MB, alloc=4.4MB, time=280.95 NO POLE NO POLE x[1] = 0.544 y2[1] (analytic) = 1.8556452812210225242556745097304 y2[1] (numeric) = 1.838390376052717071534070670725 absolute error = 0.0172549051683054527216038390054 relative error = 0.92986010542659593811364319849079 % h = 0.001 y1[1] (analytic) = 0.48243729585276599144079813076171 y1[1] (numeric) = 0.48432664585104562194239676979894 absolute error = 0.00188934999827963050159863903723 relative error = 0.39162602363483879462694350303459 % h = 0.001 TOP MAIN SOLVE Loop memory used=2471.9MB, alloc=4.4MB, time=281.22 memory used=2475.7MB, alloc=4.4MB, time=281.49 NO POLE NO POLE x[1] = 0.545 y2[1] (analytic) = 1.8551272907805307779995655626503 y2[1] (numeric) = 1.8377530214303086283276251881742 absolute error = 0.0173742693502221496719403744761 relative error = 0.93655402713158606154642592997843 % h = 0.001 y1[1] (analytic) = 0.4815819094954830171613860184838 y1[1] (numeric) = 0.48348857403454067590453561854239 absolute error = 0.00190666453905765874314960005859 relative error = 0.39591697725006471512135251898945 % h = 0.001 TOP MAIN SOLVE Loop memory used=2479.5MB, alloc=4.4MB, time=281.77 NO POLE NO POLE x[1] = 0.546 y2[1] (analytic) = 1.8546084452128195118178683066931 y2[1] (numeric) = 1.8371142532191042509345768534719 absolute error = 0.0174941919937152608832914532212 relative error = 0.94328223506540606934206961680236 % h = 0.001 y1[1] (analytic) = 0.48072704155624734589285475196364 y1[1] (numeric) = 0.4826511402793812756741850719893 absolute error = 0.00192409872313392978133032002566 relative error = 0.40024765756989376620057123052765 % h = 0.001 TOP MAIN SOLVE Loop memory used=2483.4MB, alloc=4.4MB, time=282.04 memory used=2487.2MB, alloc=4.4MB, time=282.31 NO POLE NO POLE x[1] = 0.547 y2[1] (analytic) = 1.8540887450367342501847197221881 y2[1] (numeric) = 1.8364740705642360713583282421949 absolute error = 0.0176146744724981788263914799932 relative error = 0.95004484114643535995240213654167 % h = 0.001 y1[1] (analytic) = 0.47987269288992684563188303805971 y1[1] (numeric) = 0.48181434599958369435665783340918 absolute error = 0.00194165310965684872477479534947 relative error = 0.40461837867115829767193513948637 % h = 0.001 TOP MAIN SOLVE Loop memory used=2491.0MB, alloc=4.4MB, time=282.58 NO POLE NO POLE x[1] = 0.548 y2[1] (analytic) = 1.8535681907719751258770348787904 y2[1] (numeric) = 1.8358324726113554944741803300361 absolute error = 0.0177357181606196314028545487543 relative error = 0.95684195752372344590227889461988 % h = 0.001 y1[1] (analytic) = 0.47901886435087011150325131755937 y1[1] (numeric) = 0.48097819261001881336004461402247 absolute error = 0.0019593282591487018567932964631 relative error = 0.40902945686780714034678982821982 % h = 0.001 TOP MAIN SOLVE Loop memory used=2494.8MB, alloc=4.4MB, time=282.85 NO POLE NO POLE memory used=2498.6MB, alloc=4.4MB, time=283.13 x[1] = 0.549 y2[1] (analytic) = 1.8530467829390963602744174669085 y2[1] (numeric) = 1.8351894585066340523778564217896 absolute error = 0.0178573244324623078965610451189 relative error = 0.96367369657764437849354054998222 % h = 0.001 y1[1] (analytic) = 0.47816555679290561141131783611242 y1[1] (numeric) = 0.48014268152641160269512466429437 absolute error = 0.00197712473350599128380682818195 relative error = 0.41348121072682942512537264792842 % h = 0.001 TOP MAIN SOLVE Loop memory used=2502.4MB, alloc=4.4MB, time=283.40 NO POLE NO POLE x[1] = 0.55 y2[1] (analytic) = 1.8525245220595057428049817976178 y2[1] (numeric) = 1.8345450273967642582138989032573 absolute error = 0.0179794946627414845910828943605 relative error = 0.9705401709205529994682509985789 % h = 0.001 y1[1] (analytic) = 0.47731277106934083221162189224271 y1[1] (numeric) = 0.4793078141653406004211877737142 absolute error = 0.00199504309599976820956588147149 relative error = 0.4179739610843015944616629834471 % h = 0.001 TOP MAIN SOLVE Loop memory used=2506.2MB, alloc=4.4MB, time=283.67 NO POLE NO POLE x[1] = 0.551 y2[1] (analytic) = 1.8520014086554641095376068251937 y2[1] (numeric) = 1.8338991784289604594830849877519 absolute error = 0.0181022302265036500545218374418 relative error = 0.97744149339744302578700855411351 % h = 0.001 y1[1] (analytic) = 0.47646050803296142640346809076379 y1[1] (numeric) = 0.47847359194423739123828829319486 absolute error = 0.00201308391127596483482020243107 relative error = 0.42250803106155865516415574032291 % h = 0.001 TOP MAIN SOLVE Loop memory used=2510.1MB, alloc=4.4MB, time=283.94 memory used=2513.9MB, alloc=4.4MB, time=284.22 NO POLE NO POLE x[1] = 0.552 y2[1] (analytic) = 1.8514774432500848209211435999679 y2[1] (numeric) = 1.8332519107509596908280081498509 absolute error = 0.018225532499125130093135450117 relative error = 0.98437777708660697370002335640528 % h = 0.001 y1[1] (analytic) = 0.47560876853603035934434490894292 y1[1] (numeric) = 0.47764001628138608422645258779497 absolute error = 0.00203124774535572488210767885205 relative error = 0.42708374608149073132431707310876 % h = 0.001 TOP MAIN SOLVE Loop memory used=2517.7MB, alloc=4.4MB, time=284.49 NO POLE NO POLE x[1] = 0.553 y2[1] (analytic) = 1.8509526263673332386710984122557 y2[1] (numeric) = 1.8326032235110225262959724608916 absolute error = 0.0183494028563107123751259513641 relative error = 0.99134913530029792831064265463695 % h = 0.001 y1[1] (analytic) = 0.47475755343028705698703036092402 y1[1] (numeric) = 0.47680708859592278973236218051269 absolute error = 0.00204953516563573274533181958867 relative error = 0.43170143388496598610141307209154 % h = 0.001 TOP MAIN SOLVE Loop memory used=2521.5MB, alloc=4.4MB, time=284.76 memory used=2525.3MB, alloc=4.4MB, time=285.04 NO POLE NO POLE x[1] = 0.554 y2[1] (analytic) = 1.8504269585320262018043147406284 y2[1] (numeric) = 1.8319531158579339310783475633841 absolute error = 0.0184738426740922707259671772443 relative error = 0.99835568158539316485308313950353 % h = 0.001 y1[1] (analytic) = 0.47390686356694655414023702323283 y1[1] (numeric) = 0.47597481030783509540403570042449 absolute error = 0.00206794674088854126379867719166 relative error = 0.4363614245473809911315950477946 % h = 0.001 TOP MAIN SOLVE Loop memory used=2529.1MB, alloc=4.4MB, time=285.31 NO POLE NO POLE x[1] = 0.555 y2[1] (analytic) = 1.849900440269831501822177969805 y2[1] (numeric) = 1.8313015869410041127255325450576 absolute error = 0.0185988533288273890966454247474 relative error = 1.0053975297240596279282963193885 % h = 0.001 y1[1] (analytic) = 0.47305669979669864325364816064811 y1[1] (numeric) = 0.47514318283796154137403360044321 absolute error = 0.0020864830412628981203854397951 relative error = 0.44106405049533963247172688565924 % h = 0.001 TOP MAIN SOLVE Loop memory used=2532.9MB, alloc=4.4MB, time=285.58 memory used=2536.8MB, alloc=4.4MB, time=285.85 NO POLE NO POLE x[1] = 0.556 y2[1] (analytic) = 1.8493730721072673570428676949146 y2[1] (numeric) = 1.8306486359100693718366774976478 absolute error = 0.0187244361971979852061901972668 relative error = 1.0124747937344212749641494380013 % h = 0.001 y1[1] (analytic) = 0.47220706296970702372819616733216 y1[1] (numeric) = 0.47431220760799109459171046144707 absolute error = 0.00210514463828407086351429411491 relative error = 0.44580964652346165223561234475746 % h = 0.001 TOP MAIN SOLVE Loop memory used=2540.6MB, alloc=4.4MB, time=286.12 NO POLE NO POLE x[1] = 0.557 y2[1] (analytic) = 1.8488448545717018860831832798337 y2[1] (numeric) = 1.8299942619154929522233120707741 absolute error = 0.0188505926562089338598712090596 relative error = 1.0195875878712282901884510033019 % h = 0.001 y1[1] (analytic) = 0.47135795393560845175243401287092 y1[1] (numeric) = 0.47348188604046262230504055048339 absolute error = 0.00212393210485417055260653761247 relative error = 0.4505985498113219354331989555837 % h = 0.001 TOP MAIN SOLVE Loop memory used=2544.4MB, alloc=4.4MB, time=286.40 memory used=2548.2MB, alloc=4.4MB, time=286.68 NO POLE NO POLE x[1] = 0.558 y2[1] (analytic) = 1.8483157881913525804904691877283 y2[1] (numeric) = 1.8293384641081658905460308573494 absolute error = 0.0189773240831866899444383303789 relative error = 1.0267360266265281754257870301158 % h = 0.001 y1[1] (analytic) = 0.47050937354351189066584985678171 y1[1] (numeric) = 0.47265221955876436469254315117769 absolute error = 0.00214284601525247402669329439598 relative error = 0.45543109994052166198319048330253 % h = 0.001 TOP MAIN SOLVE Loop memory used=2552.0MB, alloc=4.4MB, time=286.94 NO POLE NO POLE x[1] = 0.559 y2[1] (analytic) = 1.8477858734952857765251674518325 y2[1] (numeric) = 1.8286812416395078654233859739075 absolute error = 0.019104631855777911101781477925 relative error = 1.0339202247303387240516619844271 % h = 0.001 y1[1] (analytic) = 0.46966132264199766184997446810299 y1[1] (numeric) = 0.47182320958713340664583503437882 absolute error = 0.00216188694513574479586056627583 relative error = 0.4603076389118924544374964438794 % h = 0.001 TOP MAIN SOLVE Loop memory used=2555.8MB, alloc=4.4MB, time=287.21 NO POLE NO POLE memory used=2559.7MB, alloc=4.4MB, time=287.49 x[1] = 0.56 y2[1] (analytic) = 1.8472551110134161260945255038663 y2[1] (numeric) = 1.8280225936614680460121377270265 absolute error = 0.0192325173519480800823877768398 relative error = 1.0411402971513228844600575496319 % h = 0.001 y1[1] (analytic) = 0.46881380207911659614813055888797 y1[1] (numeric) = 0.47099485755065514870333828644368 absolute error = 0.00218105547153855255520772755571 relative error = 0.46522851116283466263330428992676 % h = 0.001 TOP MAIN SOLVE Loop memory used=2563.5MB, alloc=4.4MB, time=287.76 NO POLE NO POLE x[1] = 0.561 y2[1] (analytic) = 1.846723501276506066837988426341 y2[1] (numeric) = 1.8273625193265259400580147856685 absolute error = 0.0193609819499801267799736406725 relative error = 1.0483963590974655194232331106084 % h = 0.001 y1[1] (analytic) = 0.46796681270238918581467261178217 y1[1] (numeric) = 0.47016716487526277713567256140957 absolute error = 0.0022003521728735913209999496274 relative error = 0.4701940635847909372765119336836 % h = 0.001 TOP MAIN SOLVE Loop memory used=2567.3MB, alloc=4.4MB, time=288.02 NO POLE NO POLE x[1] = 0.562 y2[1] (analytic) = 1.8461910448161652913648055433158 y2[1] (numeric) = 1.8267010177876922414161358087453 absolute error = 0.0194900270284730499486697345705 relative error = 1.0556885260167520677453946681034 % h = 0.001 y1[1] (analytic) = 0.46712035535880473699456525237423 y1[1] (numeric) = 0.46934013298773673318326167161779 absolute error = 0.00221977762893199618869641924356 relative error = 0.47520464554085625536005466988446 % h = 0.001 TOP MAIN SOLVE Loop memory used=2571.1MB, alloc=4.4MB, time=288.29 memory used=2574.9MB, alloc=4.4MB, time=288.57 NO POLE NO POLE x[1] = 0.563 y2[1] (analytic) = 1.8456577421648502156443821119545 y2[1] (numeric) = 1.8260380881985096770402450075603 absolute error = 0.0196196539663405386041371043942 relative error = 1.0630169135978491146347541534098 % h = 0.001 y1[1] (analytic) = 0.46627443089482052273414768667114 y1[1] (numeric) = 0.4685137633157041814466852791377 absolute error = 0.00223933242088365871253759246656 relative error = 0.48026060888352557133356603471444 % h = 0.001 TOP MAIN SOLVE Loop memory used=2578.7MB, alloc=4.4MB, time=288.84 NO POLE NO POLE x[1] = 0.564 y2[1] (analytic) = 1.8451235938558634465499077244872 y2[1] (numeric) = 1.8253737297130538534399146539602 absolute error = 0.019749864142809593109993070527 relative error = 1.0703816377707868772414892139169 % h = 0.001 y1[1] (analytic) = 0.46542904015636093652393119286274 y1[1] (numeric) = 0.46768805728763847743030729759512 absolute error = 0.00225901713127754090637610473238 relative error = 0.48536230797258027906810693522923 % h = 0.001 TOP MAIN SOLVE Loop memory used=2582.5MB, alloc=4.4MB, time=289.10 memory used=2586.4MB, alloc=4.4MB, time=289.38 NO POLE NO POLE x[1] = 0.565 y2[1] (analytic) = 1.8445886004233532485557938769029 y2[1] (numeric) = 1.8247079414859341026048680770657 absolute error = 0.0198806589374191459509257998372 relative error = 1.077782814707643611832194886805 % h = 0.001 y1[1] (analytic) = 0.46458418398881664637427612450758 y1[1] (numeric) = 0.46686301633285863423971346073248 absolute error = 0.0022788323440419878654373362249 relative error = 0.49051009969311468090267747079433 % h = 0.001 TOP MAIN SOLVE Loop memory used=2590.2MB, alloc=4.4MB, time=289.65 NO POLE NO POLE x[1] = 0.566 y2[1] (analytic) = 1.8440527624023130095894540068917 y2[1] (numeric) = 1.8240407226722943273955772243283 absolute error = 0.0200120397300186821938767825634 relative error = 1.0852205608232319490945935775 % h = 0.001 y1[1] (analytic) = 0.46373986323704374942479434939252 y1[1] (numeric) = 0.46603864188152878843349136021855 absolute error = 0.00229877864448503900869701082603 relative error = 0.49570434347370367141920313487859 % h = 0.001 TOP MAIN SOLVE Loop memory used=2594.0MB, alloc=4.4MB, time=289.92 memory used=2597.8MB, alloc=4.4MB, time=290.20 NO POLE NO POLE x[1] = 0.567 y2[1] (analytic) = 1.8435160803285807060379601492125 y2[1] (numeric) = 1.823372072427813846399289396386 absolute error = 0.0201440079007668596386707528265 relative error = 1.0926949927757871640895388184508 % h = 0.001 y1[1] (analytic) = 0.4628960787453629270883225145933 y1[1] (numeric) = 0.46521493536465766502988710088329 absolute error = 0.00231885661929473794156458628999 relative error = 0.50094540130471285507098956006186 % h = 0.001 TOP MAIN SOLVE Loop memory used=2601.6MB, alloc=4.4MB, time=290.48 NO POLE NO POLE x[1] = 0.568 y2[1] (analytic) = 1.842978554738838366910111201784 y2[1] (numeric) = 1.8227019899087082382506382997612 absolute error = 0.0202765648301301286594729020228 relative error = 1.1002062274676573873907118120711 % h = 0.001 y1[1] (analytic) = 0.46205283135755860073031099369233 y1[1] (numeric) = 0.46439189821409804166887356667655 absolute error = 0.00233906685653944093856257298422 relative error = 0.50623363775675232838761203111505 % h = 0.001 TOP MAIN SOLVE Loop memory used=2605.4MB, alloc=4.4MB, time=290.75 memory used=2609.2MB, alloc=4.4MB, time=291.02 NO POLE NO POLE x[1] = 0.569 y2[1] (analytic) = 1.8424401861706115371544486403868 y2[1] (numeric) = 1.8220304742717301854159950968612 absolute error = 0.0204097118988813517384535435256 relative error = 1.1077543820459957639758681709427 % h = 0.001 y1[1] (analytic) = 0.46121012191687808788447283669442 y1[1] (numeric) = 0.46356953186254621193016613523771 absolute error = 0.00235940994566812404569329854329 relative error = 0.51156941999927536919820858909436 % h = 0.001 TOP MAIN SOLVE Loop memory used=2613.1MB, alloc=4.4MB, time=291.29 NO POLE NO POLE x[1] = 0.57 y2[1] (analytic) = 1.841900975162268740133756363916 y2[1] (numeric) = 1.8213575246741703174407156689997 absolute error = 0.0205434504880984226930406949163 relative error = 1.1153395739034545664570459720544 % h = 0.001 y1[1] (analytic) = 0.46036795126603075900553650692117 y1[1] (numeric) = 0.46274783774354144780772252301581 absolute error = 0.00237988647751068880218601609464 relative error = 0.51695311781932328715655642154082 % h = 0.001 TOP MAIN SOLVE Loop memory used=2616.9MB, alloc=4.4MB, time=291.56 memory used=2620.7MB, alloc=4.4MB, time=291.84 NO POLE NO POLE x[1] = 0.571 y2[1] (analytic) = 1.841360922253020939256582195639 y2[1] (numeric) = 1.8206831402738580536584408452619 absolute error = 0.0206777819791628855981413503771 relative error = 1.1229619206788812692607956552829 % h = 0.001 y1[1] (analytic) = 0.45952632024718719475994565206105 y1[1] (numeric) = 0.46192681729146546134126428639557 absolute error = 0.00240049704427826658131863433452 relative error = 0.52238510364041770181652513078913 % h = 0.001 TOP MAIN SOLVE Loop memory used=2624.5MB, alloc=4.4MB, time=292.11 NO POLE NO POLE x[1] = 0.572 y2[1] (analytic) = 1.8408200279829209987663194088936 y2[1] (numeric) = 1.8200073202291624453616068879848 absolute error = 0.0208127077537585534047125209088 relative error = 1.130621540258016590393237837116 % h = 0.001 y1[1] (analytic) = 0.45868522970197834385534861860512 y1[1] (numeric) = 0.46110647194154186540535834726285 absolute error = 0.00242124223956352155000972865773 relative error = 0.5278657525416015265969293842702 % h = 0.001 TOP MAIN SOLVE Loop memory used=2628.3MB, alloc=4.4MB, time=292.38 NO POLE NO POLE x[1] = 0.573 y2[1] (analytic) = 1.8402782928928631436883874880982 y2[1] (numeric) = 1.8193300636989930174323240644106 absolute error = 0.0209482291938701262560634236876 relative error = 1.1383185507741945074485971982128 % h = 0.001 y1[1] (analytic) = 0.45784468047149468140971988010875 y1[1] (numeric) = 0.4602868031298356336565977538832 absolute error = 0.00244212265834095224687787377445 relative error = 0.53339544227662994919187683721824 % h = 0.001 TOP MAIN SOLVE Loop memory used=2632.1MB, alloc=4.4MB, time=292.65 memory used=2635.9MB, alloc=4.4MB, time=292.93 NO POLE NO POLE x[1] = 0.574 y2[1] (analytic) = 1.8397357175245824189360521778498 y2[1] (numeric) = 1.8186513698428006094327816737059 absolute error = 0.0210843476817818095032705041439 relative error = 1.1460530706090442545437996592406 % h = 0.001 y1[1] (analytic) = 0.45700467339628536786095501008776 y1[1] (numeric) = 0.45946781229325255963942172986765 absolute error = 0.00246313889696719177846671977989 relative error = 0.53897455329331271132787224161924 % h = 0.001 TOP MAIN SOLVE Loop memory used=2639.8MB, alloc=4.4MB, time=293.20 NO POLE NO POLE x[1] = 0.575 y2[1] (analytic) = 1.8391923024206541475754257142438 y2[1] (numeric) = 1.8179712378205782161543384390114 absolute error = 0.0212210646000759314210872752324 relative error = 1.1538252183931943068857565069698 % h = 0.001 y1[1] (analytic) = 0.45616520931635740841778028988382 y1[1] (numeric) = 0.45864950086953871505111590536066 absolute error = 0.00248429155318130663333561547684 relative error = 0.54460346875300900324366041727177 % h = 0.001 TOP MAIN SOLVE Loop memory used=2643.6MB, alloc=4.4MB, time=293.47 memory used=2647.4MB, alloc=4.4MB, time=293.75 NO POLE NO POLE x[1] = 0.576 y2[1] (analytic) = 1.8386480481244933882501889733704 y2[1] (numeric) = 1.8172896667928618276244577155017 absolute error = 0.0213583813316315606257312578687 relative error = 1.1616351130069783597020933975254 % h = 0.001 y1[1] (analytic) = 0.45532628907117481305281750051966 y1[1] (numeric) = 0.45783187029727990716653446540483 absolute error = 0.00250558122610509411371696488517 relative error = 0.55028257455027630087455254211481 % h = 0.001 TOP MAIN SOLVE Loop memory used=2651.2MB, alloc=4.4MB, time=294.02 NO POLE NO POLE x[1] = 0.577 y2[1] (analytic) = 1.8381029551803543917665781122205 y2[1] (numeric) = 1.8166066559207312685706475075902 absolute error = 0.0214962992596231231959306046303 relative error = 1.1694828735811433082903146734104 % h = 0.001 y1[1] (analytic) = 0.45448791349965775703864390540909 y1[1] (numeric) = 0.45701492201590113542308679071501 absolute error = 0.00252700851624337838444288530592 relative error = 0.55601225933267448646128372333563 % h = 0.001 TOP MAIN SOLVE Loop memory used=2655.0MB, alloc=4.4MB, time=294.28 memory used=2658.8MB, alloc=4.4MB, time=294.56 NO POLE NO POLE x[1] = 0.578 y2[1] (analytic) = 1.837557024133330056839179116969 y2[1] (numeric) = 1.8159222043658110373405658314086 absolute error = 0.0216348197675190194986132855604 relative error = 1.1773686194975592359647246151467 % h = 0.001 y1[1] (analytic) = 0.45365008344018174202768688779204 y1[1] (numeric) = 0.45619865746566604716653200582991 absolute error = 0.00254857402548430513884511803787 relative error = 0.56179291452072660617581541098954 % h = 0.001 TOP MAIN SOLVE Loop memory used=2662.6MB, alloc=4.4MB, time=294.83 NO POLE NO POLE x[1] = 0.579 y2[1] (analytic) = 1.8370102555293513849980745127954 y2[1] (numeric) = 1.8152363112902711442774525025264 absolute error = 0.021773944239080240720622010269 relative error = 1.1852924703899314167048575386955 % h = 0.001 y1[1] (analytic) = 0.45281279973057675767679216292994 y1[1] (numeric) = 0.4553830780876763925581256888013 absolute error = 0.00257027835709963488133352587136 relative error = 0.56762493432803763136446320547346 % h = 0.001 TOP MAIN SOLVE Loop memory used=2666.5MB, alloc=4.4MB, time=295.10 memory used=2670.3MB, alloc=4.4MB, time=295.38 NO POLE NO POLE x[1] = 0.58 y2[1] (analytic) = 1.83646264991518693465788732805 y2[1] (numeric) = 1.8145489758568279495500489735474 absolute error = 0.0219136740583589851078383545026 relative error = 1.1932545461445143393336984802894 % h = 0.001 y1[1] (analytic) = 0.45197606320812644381730394042354 y1[1] (numeric) = 0.45456818532387147864366383522862 absolute error = 0.00259212211574503482635989480508 relative error = 0.5735087157815726031538574563667 % h = 0.001 TOP MAIN SOLVE Loop memory used=2674.1MB, alloc=4.4MB, time=295.65 NO POLE NO POLE x[1] = 0.581 y2[1] (analytic) = 1.8359142078384422743492682436758 y2[1] (numeric) = 1.8138601972287450004361683917338 absolute error = 0.022054010609697273913099851942 relative error = 1.2012549669008277600786060162892 % h = 0.001 y1[1] (analytic) = 0.45113987470956725317149486650297 y1[1] (numeric) = 0.45375398061702762258497000754959 absolute error = 0.00261410590746036941347514104662 relative error = 0.57944465874209555344910865258779 % h = 0.001 TOP MAIN SOLVE Loop memory used=2677.9MB, alloc=4.4MB, time=295.92 memory used=2681.7MB, alloc=4.4MB, time=296.21 NO POLE NO POLE x[1] = 0.582 y2[1] (analytic) = 1.8353649298475594351133726963536 y2[1] (numeric) = 1.8131699745698338680590785931581 absolute error = 0.0221949552777255670542941031955 relative error = 1.209293853052374790392578985578 % h = 0.001 y1[1] (analytic) = 0.45030423507108761461618302979055 y1[1] (numeric) = 0.45294046541075760405437243805413 absolute error = 0.00263623033966998943818940826358 relative error = 0.58543316592477060877774955494981 % h = 0.001 TOP MAIN SOLVE Loop memory used=2685.5MB, alloc=4.4MB, time=296.48 NO POLE NO POLE x[1] = 0.583 y2[1] (analytic) = 1.834814816491816362059875540848 y2[1] (numeric) = 1.8124783070444549835758612970679 absolute error = 0.0223365094473613784840142437801 relative error = 1.2173713252473620269383399557812 % h = 0.001 y1[1] (analytic) = 0.44946914512832709699437276684941 y1[1] (numeric) = 0.45212764114951011679271869109876 absolute error = 0.00265849602118301979834592424935 relative error = 0.59147464291992669699917887394622 % h = 0.001 TOP MAIN SOLVE Loop memory used=2689.4MB, alloc=4.4MB, time=296.75 NO POLE NO POLE memory used=2693.2MB, alloc=4.4MB, time=297.02 x[1] = 0.584 y2[1] (analytic) = 1.8342638683213263650890717134926 y2[1] (numeric) = 1.8117851938175184738169113121763 absolute error = 0.0224786745038078912721604013163 relative error = 1.2254875043894217306626406439057 % h = 0.001 y1[1] (analytic) = 0.44863460571637557347575545580759 y1[1] (numeric) = 0.45131550927856921933147632646121 absolute error = 0.00268090356219364585572087065362 relative error = 0.59756949821398729060907482702476 % h = 0.001 TOP MAIN SOLVE Loop memory used=2697.0MB, alloc=4.4MB, time=297.29 NO POLE NO POLE x[1] = 0.585 y2[1] (analytic) = 1.8337120858870375687786121746697 y2[1] (numeric) = 1.8110906340544849963757401154464 absolute error = 0.0226214518325525724028720592233 relative error = 1.2336425116383360619132286122508 % h = 0.001 y1[1] (analytic) = 0.4478006176697723864669059374871 y1[1] (numeric) = 0.45050407124405378487946884168873 absolute error = 0.00270345357428139841256290420163 relative error = 0.60371814321056663422323940101586 % h = 0.001 TOP MAIN SOLVE Loop memory used=2700.8MB, alloc=4.4MB, time=297.56 NO POLE NO POLE x[1] = 0.586 y2[1] (analytic) = 1.8331594697407323614354252435016 y2[1] (numeric) = 1.8103946269213665741482487136369 absolute error = 0.0227648428193657872871765298647 relative error = 1.2418364684107633785760508567071 % h = 0.001 y1[1] (analytic) = 0.44696718182250551307200965377196 y1[1] (numeric) = 0.44969332849291695037479700665842 absolute error = 0.00272614667041143730278735288646 relative error = 0.60992099225173391782725465461791 % h = 0.001 TOP MAIN SOLVE Loop memory used=2704.6MB, alloc=4.4MB, time=297.83 memory used=2708.4MB, alloc=4.4MB, time=298.11 NO POLE NO POLE x[1] = 0.587 y2[1] (analytic) = 1.8326060204350268433133742727858 y2[1] (numeric) = 1.8096971715847274293206352484054 absolute error = 0.0229088488502994139927390243804 relative error = 1.2500694963809666042355088365097 % h = 0.001 y1[1] (analytic) = 0.44613429900801073110495504241853 y1[1] (numeric) = 0.44888328247294556470249653838216 absolute error = 0.00274898346493483359754149596363 relative error = 0.61617846263944687152888103947973 % h = 0.001 TOP MAIN SOLVE Loop memory used=2712.2MB, alloc=4.4MB, time=298.38 NO POLE NO POLE x[1] = 0.588 y2[1] (analytic) = 1.8320517385233702739972034464729 y2[1] (numeric) = 1.8089982672116848168051033571311 absolute error = 0.0230534713116854571921000893418 relative error = 1.2583417174815436733859215125863 % h = 0.001 y1[1] (analytic) = 0.44530197005917078565362517614627 y1[1] (numeric) = 0.44807393463275963607848389835269 absolute error = 0.00277196457358885042485872220642 relative error = 0.62249097465715627185102595708066 % h = 0.001 TOP MAIN SOLVE Loop memory used=2716.1MB, alloc=4.4MB, time=298.64 memory used=2719.9MB, alloc=4.4MB, time=298.92 NO POLE NO POLE x[1] = 0.589 y2[1] (analytic) = 1.8314966245600445189533243156914 y2[1] (numeric) = 1.8082979129699098571225378538181 absolute error = 0.0231987115901346618307864618733 relative error = 1.2666532539041600607477985181463 % h = 0.001 y1[1] (analytic) = 0.44447019580831455619722208164774 y1[1] (numeric) = 0.4472652864218117786003428284388 absolute error = 0.00279509061349722240312074679106 relative error = 0.62885895159158286405610169544344 % h = 0.001 TOP MAIN SOLVE Loop memory used=2723.7MB, alloc=4.4MB, time=299.19 NO POLE NO POLE x[1] = 0.59 y2[1] (analytic) = 1.8309406791001634952479965224907 y2[1] (numeric) = 1.8075961080276283687313148474728 absolute error = 0.0233445710725351265166816750179 relative error = 1.2750042281002834017680751365559 % h = 0.001 y1[1] (analytic) = 0.44363897708721622427745662112423 y1[1] (numeric) = 0.44645733929038665796550507449712 absolute error = 0.00281836220317043368804845337289 relative error = 0.63528281975466821959944052475653 % h = 0.001 TOP MAIN SOLVE Loop memory used=2727.5MB, alloc=4.4MB, time=299.47 memory used=2731.3MB, alloc=4.4MB, time=299.74 NO POLE NO POLE x[1] = 0.591 y2[1] (analytic) = 1.8303839026996726164334569930729 y2[1] (numeric) = 1.806892851553621699801413969215 absolute error = 0.0234910511460509166320430238579 relative error = 1.2833947627819202114091147634936 % h = 0.001 y1[1] (analytic) = 0.44280831472709444172443626508772 y1[1] (numeric) = 0.44565009468960043635737957947353 absolute error = 0.00284177996250599463294331438581 relative error = 0.64176300850570106257192831800315 % h = 0.001 TOP MAIN SOLVE Loop memory used=2735.1MB, alloc=4.4MB, time=300.01 NO POLE NO POLE x[1] = 0.592 y2[1] (analytic) = 1.8298262959153482366025527143388 y2[1] (numeric) = 1.8061881427172275594330009340797 absolute error = 0.0236381531981206771695517802591 relative error = 1.2918249809223547083570434438115 % h = 0.001 y1[1] (analytic) = 0.44197820955861149943808253047211 y1[1] (numeric) = 0.4448435540714002164999852598187 absolute error = 0.00286534451278871706190272934659 relative error = 0.64829995027362061391196637172564 % h = 0.001 TOP MAIN SOLVE Loop memory used=2738.9MB, alloc=4.4MB, time=300.28 memory used=2742.8MB, alloc=4.4MB, time=300.56 NO POLE NO POLE x[1] = 0.593 y2[1] (analytic) = 1.8292678593047970936124330390686 y2[1] (numeric) = 1.8054819806883408483186492189961 absolute error = 0.0237858786164562452937838200725 relative error = 1.3002950057568897518058453593136 % h = 0.001 y1[1] (analytic) = 0.44114866241187249672590930256691 y1[1] (numeric) = 0.44403771888856348488164331053874 absolute error = 0.00288905647669098815573400797183 relative error = 0.65489408057949851724610673571052 % h = 0.001 TOP MAIN SOLVE Loop memory used=2746.6MB, alloc=4.4MB, time=300.83 NO POLE NO POLE x[1] = 0.594 y2[1] (analytic) = 1.8287085934264557514778582959995 y2[1] (numeric) = 1.8047743646374144888483701947914 absolute error = 0.0239342287890412626294881012081 relative error = 1.3088049607835898979996182661492 % h = 0.001 y1[1] (analytic) = 0.44031967411642451119799270292604 y1[1] (numeric) = 0.44323259059469755414828581514222 absolute error = 0.00291291647827304295029311221618 relative error = 0.66154583805920092545808506442976 % h = 0.001 TOP MAIN SOLVE Loop memory used=2750.4MB, alloc=4.4MB, time=301.10 NO POLE NO POLE memory used=2754.2MB, alloc=4.4MB, time=301.37 x[1] = 0.595 y2[1] (analytic) = 1.8281484988395900419346823114442 y2[1] (numeric) = 1.8040652937354602546566216072586 absolute error = 0.0240832051041297872780607041856 relative error = 1.317354969764026583741464305631 % h = 0.001 y1[1] (analytic) = 0.43949124550125576921996260821254 y1[1] (numeric) = 0.44242817064423900466693826712846 absolute error = 0.00293692514298323544697565891592 relative error = 0.66825566448623234248937598274937 % h = 0.001 TOP MAIN SOLVE Loop memory used=2758.0MB, alloc=4.4MB, time=301.64 NO POLE NO POLE x[1] = 0.596 y2[1] (analytic) = 1.827587576104294505174067278921 y2[1] (numeric) = 1.803354767154049599610464860349 absolute error = 0.024232808950244905563602418572 relative error = 1.3259451567240254441036748087799 % h = 0.001 y1[1] (analytic) = 0.43866337739479481692484536691856 y1[1] (numeric) = 0.44162446049245312525993443948806 absolute error = 0.0029610830976583083350890725695 relative error = 0.67502400479476283044272219731824 % h = 0.001 TOP MAIN SOLVE Loop memory used=2761.8MB, alloc=4.4MB, time=301.91 NO POLE NO POLE x[1] = 0.597 y2[1] (analytic) = 1.8270258257814918297479902425356 y2[1] (numeric) = 1.8026427840653144862380421134007 absolute error = 0.0243830417161773435099481291349 relative error = 1.3345756459544157716001581534384 % h = 0.001 y1[1] (analytic) = 0.43783607062490969178458670204891 y1[1] (numeric) = 0.44082146159543335311042286795415 absolute error = 0.00298539097052366132583616590524 relative error = 0.68185130710284020779526717093164 % h = 0.001 TOP MAIN SOLVE Loop memory used=2765.6MB, alloc=4.4MB, time=302.19 memory used=2769.5MB, alloc=4.4MB, time=302.46 NO POLE NO POLE x[1] = 0.598 y2[1] (analytic) = 1.8264632484329322916466012885597 y2[1] (numeric) = 1.8019293436419482135965447639958 absolute error = 0.0245339047909840780500565245639 relative error = 1.3432465620117821241084578859025 % h = 0.001 y1[1] (analytic) = 0.43700932601890709474208322817614 y1[1] (numeric) = 0.44001917541010071283972504245133 absolute error = 0.00300984939119361809764181427519 relative error = 0.68873802273578888043190363107513 % h = 0.001 TOP MAIN SOLVE Loop memory used=2773.3MB, alloc=4.4MB, time=302.73 NO POLE NO POLE x[1] = 0.599 y2[1] (analytic) = 1.8258998446211931925479943678021 y2[1] (numeric) = 1.8012144450572062445788454485461 absolute error = 0.024685399563986947969148919256 relative error = 1.3519580297192180888552146628306 % h = 0.001 y1[1] (analytic) = 0.43618314440353156290455045076672 y1[1] (numeric) = 0.43921760339420325475710622933716 absolute error = 0.00303445899067169185255577857044 relative error = 0.69568460624979696328421279409262 % h = 0.001 TOP MAIN SOLVE Loop memory used=2777.1MB, alloc=4.4MB, time=303.01 memory used=2780.9MB, alloc=4.4MB, time=303.28 NO POLE NO POLE x[1] = 0.6 y2[1] (analytic) = 1.8253356149096782972409524989554 y2[1] (numeric) = 1.8004980874849070326579662540449 absolute error = 0.0248375274247712645829862449105 relative error = 1.3607101741670822098055405805255 % h = 0.001 y1[1] (analytic) = 0.43535752660496464279905455434134 y1[1] (numeric) = 0.43841674700631549228252067461877 absolute error = 0.00305922040135084948346612027743 relative error = 0.70269151545569336660791334896868 % h = 0.001 TOP MAIN SOLVE Loop memory used=2784.7MB, alloc=4.4MB, time=303.55 NO POLE NO POLE x[1] = 0.601 y2[1] (analytic) = 1.8247705598626172702212299301249 y2[1] (numeric) = 1.7997802700994328480685563965846 absolute error = 0.0249902897631844221526735335403 relative error = 1.3695031207137560858234986177951 % h = 0.001 y1[1] (analytic) = 0.43453247344882406419103472386862 y1[1] (numeric) = 0.43761660770583783854289376535236 absolute error = 0.00308413425701377435185904148374 relative error = 0.70975921144291653735409180591832 % h = 0.001 TOP MAIN SOLVE Loop memory used=2788.5MB, alloc=4.4MB, time=303.82 memory used=2792.4MB, alloc=4.4MB, time=304.10 NO POLE NO POLE x[1] = 0.602 y2[1] (analytic) = 1.8242046800450651114619346622117 y2[1] (numeric) = 1.7990609920757306034245531852327 absolute error = 0.025143687969334508037381476979 relative error = 1.3783369949864046469977137076521 % h = 0.001 y1[1] (analytic) = 0.43370798576016291446664218080111 y1[1] (numeric) = 0.43681718695299604214250455289655 absolute error = 0.00310920119283312767586237209544 relative error = 0.71688815860367656268869942252906 % h = 0.001 TOP MAIN SOLVE Loop memory used=2796.2MB, alloc=4.4MB, time=304.37 NO POLE NO POLE x[1] = 0.603 y2[1] (analytic) = 1.8236379760229015913585755637194 y2[1] (numeric) = 1.7983402525893126787722006536725 absolute error = 0.0252977234335889125863749100469 relative error = 1.3872119228817386165530858567069 % h = 0.001 y1[1] (analytic) = 0.43288406436346881357972155134577 y1[1] (numeric) = 0.43601848620884062210803286759001 absolute error = 0.00313442184537180852831131624424 relative error = 0.72407882465731235949295437639836 % h = 0.001 TOP MAIN SOLVE Loop memory used=2800.0MB, alloc=4.4MB, time=304.64 memory used=2803.8MB, alloc=4.4MB, time=304.92 NO POLE NO POLE x[1] = 0.604 y2[1] (analytic) = 1.8230704483628306848493391318916 y2[1] (numeric) = 1.79761805081625774607760080666 absolute error = 0.0254523975465729387717383252316 relative error = 1.396128030566779165796630236017 % h = 0.001 y1[1] (analytic) = 0.43206071008266308956425961991864 y1[1] (numeric) = 0.43522050693524630200883607975922 absolute error = 0.00315979685258321244457645984058 relative error = 0.7313316806748456906364864754761 % h = 0.001 TOP MAIN SOLVE Loop memory used=2807.6MB, alloc=4.4MB, time=305.20 NO POLE NO POLE x[1] = 0.605 y2[1] (analytic) = 1.822502097632380004711161779855 y2[1] (numeric) = 1.7968943859332115931479729938133 absolute error = 0.0256077116991684115631887860417 relative error = 1.4050854444796247695726347627487 % h = 0.001 y1[1] (analytic) = 0.4312379237410999546131259552665 y1[1] (numeric) = 0.43442325059491144325302138673233 absolute error = 0.00318532685381148863989543146583 relative error = 0.73864720110373376595743768254362 % h = 0.001 TOP MAIN SOLVE Loop memory used=2811.4MB, alloc=4.4MB, time=305.47 memory used=2815.2MB, alloc=4.4MB, time=305.75 NO POLE NO POLE x[1] = 0.606 y2[1] (analytic) = 1.8219329243999002340321643536487 y2[1] (numeric) = 1.7961692571173879469857974895446 absolute error = 0.0257636672825122870463668641041 relative error = 1.4140842913302202697296028698574 % h = 0.001 y1[1] (analytic) = 0.43041570616156568172392933044603 y1[1] (numeric) = 0.43362671865135747755988032973973 absolute error = 0.0032110124897917958359509992937 relative error = 0.74602586379282220321144452643478 % h = 0.001 TOP MAIN SOLVE Loop memory used=2819.1MB, alloc=4.4MB, time=306.01 NO POLE NO POLE x[1] = 0.607 y2[1] (analytic) = 1.8213629292345645578610164066595 y2[1] (numeric) = 1.7954426635465692965750199250594 absolute error = 0.0259202656879952612859964816001 relative error = 1.4231246981011281541288384153497 % h = 0.001 y1[1] (analytic) = 0.42959405816627778191281329073545 y1[1] (numeric) = 0.43283091256892833860925306821946 absolute error = 0.00323685440265055669643977748401 relative error = 0.7534681500175001417666651529408 % h = 0.001 TOP MAIN SOLVE Loop memory used=2822.9MB, alloc=4.4MB, time=306.28 NO POLE NO POLE x[1] = 0.608 y2[1] (analytic) = 1.8207921127063680940337985820488 y2[1] (numeric) = 1.7947146043991077150984937862873 absolute error = 0.0260775083072603789353047957615 relative error = 1.4322067920483020587520315093507 % h = 0.001 y1[1] (analytic) = 0.42877298057688418199701365561464 y1[1] (numeric) = 0.43203583381278989286839076211578 absolute error = 0.00326285323590571087137710650114 relative error = 0.76097454450505931952698941469115 % h = 0.001 TOP MAIN SOLVE Loop memory used=2826.7MB, alloc=4.4MB, time=306.55 memory used=2830.5MB, alloc=4.4MB, time=306.83 NO POLE NO POLE x[1] = 0.609 y2[1] (analytic) = 1.8202204753861273231789322762638 y2[1] (numeric) = 1.7939850788539256815858387603703 absolute error = 0.0262353965322016415930935158935 relative error = 1.4413307007018625004928189360111 % h = 0.001 y1[1] (analytic) = 0.42795247421446240294700017218763 y1[1] (numeric) = 0.43124148384892936959688523526122 absolute error = 0.00328900963446696664988506307359 relative error = 0.76854553546025894146252848818925 % h = 0.001 TOP MAIN SOLVE Loop memory used=2834.3MB, alloc=4.4MB, time=307.10 NO POLE NO POLE x[1] = 0.61 y2[1] (analytic) = 1.8196480178454795179007465786548 y2[1] (numeric) = 1.7932540860905169019908932829184 absolute error = 0.0263939317549626159098532957364 relative error = 1.4504965518668748482450213184288 % h = 0.001 y1[1] (analytic) = 0.42713253989951873880902396783728 y1[1] (numeric) = 0.4304478641441547900302359148648 absolute error = 0.00331532424463605122121194702752 relative error = 0.77618161459109818621769330163941 % h = 0.001 TOP MAIN SOLVE Loop memory used=2838.1MB, alloc=4.4MB, time=307.37 memory used=2841.9MB, alloc=4.4MB, time=307.65 NO POLE NO POLE x[1] = 0.611 y2[1] (analytic) = 1.8190747406568821711422533035835 y2[1] (numeric) = 1.7925216252889471296979402086492 absolute error = 0.0265531153679350414443130949343 relative error = 1.4597044736241295399281017225428 % h = 0.001 y1[1] (analytic) = 0.42631317845198743619889187949639 y1[1] (numeric) = 0.429654976166094395742624863492 absolute error = 0.00334179771410695954373298399561 relative error = 0.78388327713479821555494001041605 % h = 0.001 TOP MAIN SOLVE Loop memory used=2845.8MB, alloc=4.4MB, time=307.92 NO POLE NO POLE x[1] = 0.612 y2[1] (analytic) = 1.8185006443936124237277017522008 y2[1] (numeric) = 1.7917876956298549854558850992533 absolute error = 0.0267129487637574382718166529475 relative error = 1.468954594330924553118347526617 % h = 0.001 y1[1] (analytic) = 0.42549439069122987436778816569248 y1[1] (numeric) = 0.42886282138319607618947154071376 absolute error = 0.00336843069196620182168337502128 relative error = 0.7916510218839955698789169101307 % h = 0.001 TOP MAIN SOLVE Loop memory used=2849.6MB, alloc=4.4MB, time=308.19 memory used=2853.4MB, alloc=4.4MB, time=308.47 NO POLE NO POLE x[1] = 0.613 y2[1] (analytic) = 1.8179257296297664910854856612912 y2[1] (numeric) = 1.7910522962944527767395671943762 absolute error = 0.026873433335313714345918466915 relative error = 1.4782470426218501369823496044565 % h = 0.001 y1[1] (analytic) = 0.42467617743603374584096353547619 y1[1] (numeric) = 0.42807140126472679543033975182212 absolute error = 0.00339522382869304958937621634593 relative error = 0.79948535121314885177365157451262 % h = 0.001 TOP MAIN SOLVE Loop memory used=2857.2MB, alloc=4.4MB, time=308.74 NO POLE NO POLE x[1] = 0.614 y2[1] (analytic) = 1.8173499969402590891519756162284 y2[1] (numeric) = 1.7903154264645273165373837044734 absolute error = 0.027034570475731772614591911755 relative error = 1.4875819474095758132375406945669 % h = 0.001 y1[1] (analytic) = 0.42385853950461223763011085547598 y1[1] (numeric) = 0.42728071728077201803277006065769 absolute error = 0.00342217777615978040265920518171 relative error = 0.80738677110516061837696110976883 % h = 0.001 TOP MAIN SOLVE Loop memory used=2861.0MB, alloc=4.4MB, time=309.01 memory used=2864.8MB, alloc=4.4MB, time=309.29 NO POLE NO POLE x[1] = 0.615 y2[1] (analytic) = 1.8167734469008228594568510241632 y2[1] (numeric) = 1.7895770853224407415644086379834 absolute error = 0.0271963615783821178924423861798 relative error = 1.4969594378856396538928587673708 % h = 0.001 y1[1] (analytic) = 0.4230414777146032130202463226353 y1[1] (numeric) = 0.42649077090223513415761176266874 absolute error = 0.00344929318763192113736544003344 relative error = 0.8153557911782164225138745338568 % h = 0.001 TOP MAIN SOLVE Loop memory used=2868.6MB, alloc=4.4MB, time=309.56 NO POLE NO POLE x[1] = 0.616 y2[1] (analytic) = 1.8161960800880077933905065620621 y2[1] (numeric) = 1.7888372720511313299001879497673 absolute error = 0.0273588080368764634903186122948 relative error = 1.5063796435212398435510217742974 % h = 0.001 y1[1] (analytic) = 0.42222499288306839393191431568267 y1[1] (numeric) = 0.42570156360083688382642933282205 absolute error = 0.00347657071776848989451501713938 relative error = 0.82339292471284296181697799455035 % h = 0.001 TOP MAIN SOLVE Loop memory used=2872.5MB, alloc=4.4MB, time=309.83 memory used=2876.3MB, alloc=4.4MB, time=310.10 NO POLE NO POLE x[1] = 0.617 y2[1] (analytic) = 1.8156178970791806556541088321442 y2[1] (numeric) = 1.7880959858341143180503933730883 absolute error = 0.0275219112450663376037154590559 relative error = 1.5158426940680285340824378849861 % h = 0.001 y1[1] (analytic) = 0.42140908582649254385953356306188 y1[1] (numeric) = 0.42491309684911478037155908091101 absolute error = 0.00350401102262223651202551784913 relative error = 0.83149868867918731457871611750324 % h = 0.001 TOP MAIN SOLVE Loop memory used=2880.1MB, alloc=4.4MB, time=310.37 NO POLE NO POLE x[1] = 0.618 y2[1] (analytic) = 1.8150388984525244068928797746095 y2[1] (numeric) = 1.7873532258554827174315178735453 absolute error = 0.0276856725970416894613619010642 relative error = 1.5253487195589079995094307124941 % h = 0.001 y1[1] (analytic) = 0.42059375736078265138670168890796 y1[1] (numeric) = 0.4241253721204225330693925641564 absolute error = 0.00353161475963988168269087524844 relative error = 0.83967360376451926081132365804649 % h = 0.001 TOP MAIN SOLVE Loop memory used=2883.9MB, alloc=4.4MB, time=310.64 NO POLE NO POLE memory used=2887.7MB, alloc=4.4MB, time=310.91 x[1] = 0.619 y2[1] (analytic) = 1.8144590847870376255131842043293 y2[1] (numeric) = 1.786608991299908130277796240333 absolute error = 0.0278500934871294952353879639963 relative error = 1.5348978503088290989682326157153 % h = 0.001 y1[1] (analytic) = 0.41977900830126711427927462169634 y1[1] (numeric) = 0.42333839088892946895746412376818 absolute error = 0.00355938258766235467818950207184 relative error = 0.84791819440095870693677084905879 % h = 0.001 TOP MAIN SOLVE Loop memory used=2891.5MB, alloc=4.4MB, time=311.19 NO POLE NO POLE x[1] = 0.62 y2[1] (analytic) = 1.8138784566625339286839996543607 y2[1] (numeric) = 1.7858632813526415649695349079765 absolute error = 0.0280151753098923637144647463842 relative error = 1.5444902169155920556450914783973 % h = 0.001 y1[1] (analytic) = 0.41896483946269492415703677241779 y1[1] (numeric) = 0.42255215462961995383592072833268 absolute error = 0.00358731516692502967888395591489 relative error = 0.85623298879343025269446647770238 % h = 0.001 TOP MAIN SOLVE Loop memory used=2895.3MB, alloc=4.4MB, time=311.46 NO POLE NO POLE x[1] = 0.621 y2[1] (analytic) = 1.8132970146596413925233475247695 y2[1] (numeric) = 1.7851160951995142507820356802776 absolute error = 0.0281809194601271417413118444919 relative error = 1.5541259502606495596118479251047 % h = 0.001 y1[1] (analytic) = 0.41815125165923485174477731054103 y1[1] (numeric) = 0.42176666481829281245395312250705 absolute error = 0.00361541315905796070917581196602 relative error = 0.86461851894784695924109138793405 % h = 0.001 TOP MAIN SOLVE Loop memory used=2899.2MB, alloc=4.4MB, time=311.73 memory used=2903.0MB, alloc=4.4MB, time=312.01 NO POLE NO POLE x[1] = 0.622 y2[1] (analytic) = 1.8127147593598019714702653502798 y2[1] (numeric) = 1.7843674320269384520542986076177 absolute error = 0.0283473273328635194159667426621 relative error = 1.5638051815099122025154712762262 % h = 0.001 y1[1] (analytic) = 0.41733824570447463270358728661891 y1[1] (numeric) = 0.42098192293156074788176809454151 absolute error = 0.0036436772270861151781808079226 relative error = 0.87307532069952539802748238183879 % h = 0.001 TOP MAIN SOLVE Loop memory used=2906.8MB, alloc=4.4MB, time=312.27 NO POLE NO POLE x[1] = 0.623 y2[1] (analytic) = 1.8121316913452709168429008147311 y2[1] (numeric) = 1.7836172910219082817766898489823 absolute error = 0.0285144003233626350662109657488 relative error = 1.5735280421145562521052942018669 % h = 0.001 y1[1] (analytic) = 0.41652582241142015404319177017304 y1[1] (numeric) = 0.42019793044684976006868249060874 absolute error = 0.0036721080354296060254907204357 relative error = 0.88160393374183408087463743192441 % h = 0.001 TOP MAIN SOLVE Loop memory used=2910.6MB, alloc=4.4MB, time=312.54 memory used=2914.4MB, alloc=4.4MB, time=312.82 NO POLE NO POLE x[1] = 0.624 y2[1] (analytic) = 1.8115478111991161945833089542001 y2[1] (numeric) = 1.7828656713720005145967609311061 absolute error = 0.028682139827115679986548023094 relative error = 1.5832946638118337746110585438477 % h = 0.001 y1[1] (analytic) = 0.41571398259249464111613059045704 y1[1] (numeric) = 0.41941468884239856358792041779795 absolute error = 0.00370070624990392247178982734091 relative error = 0.890204901655077392737387715761 % h = 0.001 TOP MAIN SOLVE Loop memory used=2918.2MB, alloc=4.4MB, time=313.09 NO POLE NO POLE x[1] = 0.625 y2[1] (analytic) = 1.8109631195052179021895348039411 y2[1] (numeric) = 1.7821125722653753992424063989887 absolute error = 0.0288505472398425029471284049524 relative error = 1.5931051786258851130143786754066 % h = 0.001 y1[1] (analytic) = 0.41490272705953784519460068584992 y1[1] (numeric) = 0.41863219959725800456869589092793 absolute error = 0.00372947253772015937409520507801 relative error = 0.89887877193561716994283567879032 % h = 0.001 TOP MAIN SOLVE Loop memory used=2922.1MB, alloc=4.4MB, time=313.36 memory used=2925.9MB, alloc=4.4MB, time=313.64 NO POLE NO POLE x[1] = 0.626 y2[1] (analytic) = 1.810377616848267684835564557014 y2[1] (numeric) = 1.7813579928907774703615474346894 absolute error = 0.0290196239574902144740171223246 relative error = 1.6029597188685537292858446017604 % h = 0.001 y1[1] (analytic) = 0.41409205662380523163077248496947 y1[1] (numeric) = 0.41785046419129047681616399104777 absolute error = 0.0037584075674852451853915060783 relative error = 0.90762609602523408822408249141424 % h = 0.001 TOP MAIN SOLVE Loop memory used=2929.7MB, alloc=4.4MB, time=313.92 NO POLE NO POLE x[1] = 0.627 y2[1] (analytic) = 1.8097913038137681506797291146007 y2[1] (numeric) = 1.7806019324375363597775296047863 absolute error = 0.0291893713762317909021995098144 relative error = 1.6128584171402034186897253152123 % h = 0.001 y1[1] (analytic) = 0.4132819720959671686013921591217 y1[1] (numeric) = 0.41706948410516933711982441562555 absolute error = 0.00378751200920216851843225650385 relative error = 0.91644742934073104664089070533288 % h = 0.001 TOP MAIN SOLVE Loop memory used=2933.5MB, alloc=4.4MB, time=314.19 memory used=2937.3MB, alloc=4.4MB, time=314.46 NO POLE NO POLE x[1] = 0.628 y2[1] (analytic) = 1.8092041809880322853621447195559 y2[1] (numeric) = 1.779844390095567607159423481169 absolute error = 0.0293597908924646782027212383869 relative error = 1.6228014063305379042880942534892 % h = 0.001 y1[1] (analytic) = 0.41247247428610811643748100141646 y1[1] (numeric) = 0.41628926082037831975096211197261 absolute error = 0.00381678653427020331348111055615 relative error = 0.92534333130378075549061339969974 % h = 0.001 TOP MAIN SOLVE Loop memory used=2941.1MB, alloc=4.4MB, time=314.73 NO POLE NO POLE x[1] = 0.629 y2[1] (analytic) = 1.8086162489581828656917761757053 y2[1] (numeric) = 1.7790853650553734701064174649318 absolute error = 0.0295308839028093955853587107735 relative error = 1.6327888196194228198061836193628 % h = 0.001 y1[1] (analytic) = 0.4116635640037258175399426027822 y1[1] (numeric) = 0.41550979581921095014971049641402 absolute error = 0.00384623181548513260976789363182 relative error = 0.93431436537101975856787188531207 % h = 0.001 TOP MAIN SOLVE Loop memory used=2944.9MB, alloc=4.4MB, time=315.01 NO POLE NO POLE memory used=2948.8MB, alloc=4.4MB, time=315.28 x[1] = 0.63 y2[1] (analytic) = 1.8080275083121518725237089657771 y2[1] (numeric) = 1.7783248565080437336454927290424 absolute error = 0.0297026518041081388782162367347 relative error = 1.6428207904777100890508833551228 % h = 0.001 y1[1] (analytic) = 0.41085524205773048688188790920538 y1[1] (numeric) = 0.41473109058476995780232357209323 absolute error = 0.00387584852703947092043566288785 relative error = 0.94336109906439114263302035598006 % h = 0.001 TOP MAIN SOLVE Loop memory used=2952.6MB, alloc=4.4MB, time=315.56 NO POLE NO POLE x[1] = 0.631 y2[1] (analytic) = 1.8074379596386799028272173906462 y2[1] (numeric) = 1.7775628636452565191415707821784 absolute error = 0.0298750959934233836856466084678 relative error = 1.6528974526680647101045342831593 % h = 0.001 y1[1] (analytic) = 0.41004750925644400309848765780185 y1[1] (numeric) = 0.41395314660096668830924406808974 absolute error = 0.00390563734452268521075641028789 relative error = 0.95248410400173820970037653573151 % h = 0.001 TOP MAIN SOLVE Loop memory used=2956.4MB, alloc=4.4MB, time=315.83 NO POLE NO POLE x[1] = 0.632 y2[1] (analytic) = 1.8068476035273155809452166617754 y2[1] (numeric) = 1.7767993856592790926193247436515 absolute error = 0.0300482178680364883258919181239 relative error = 1.6630189402457939525465238811145 % h = 0.001 y1[1] (analytic) = 0.40924036640759910016516110180038 y1[1] (numeric) = 0.41317596535252051464455553173276 absolute error = 0.00393559894492141447939442993238 relative error = 0.96168395592765141076054025265317 % h = 0.001 TOP MAIN SOLVE Loop memory used=2960.2MB, alloc=4.4MB, time=316.10 memory used=2964.0MB, alloc=4.4MB, time=316.37 NO POLE NO POLE x[1] = 0.633 y2[1] (analytic) = 1.8062564405684149690456876873498 y2[1] (numeric) = 1.7760344217429686724958460076755 absolute error = 0.0302220188254462965498416796743 relative error = 1.6731853875596789759856779172397 % h = 0.001 y1[1] (analytic) = 0.40843381431833855966490934618239 y1[1] (numeric) = 0.41239954832495824760740711460966 absolute error = 0.00396573400661968794249776842727 relative error = 0.97096123474457086280992450204978 % h = 0.001 TOP MAIN SOLVE Loop memory used=2967.8MB, alloc=4.4MB, time=316.65 NO POLE NO POLE x[1] = 0.634 y2[1] (analytic) = 1.8056644713531409767656641006336 y2[1] (numeric) = 1.7752679710897732367233585643786 absolute error = 0.030396500263367740042305536255 relative error = 1.6833969292528088782170522929114 % h = 0.001 y1[1] (analytic) = 0.40762785379521440364560102657702 y1[1] (numeric) = 0.41162389700461354546600060079526 absolute error = 0.00399604320939914182039957421824 relative error = 0.9803165245441467945779836757455 % h = 0.001 TOP MAIN SOLVE Loop memory used=2971.6MB, alloc=4.4MB, time=316.92 memory used=2975.5MB, alloc=4.4MB, time=317.19 NO POLE NO POLE x[1] = 0.635 y2[1] (analytic) = 1.8050716964734627700483718865097 y2[1] (numeric) = 1.774500032893732329341173834913 absolute error = 0.0305716635797304407071980515967 relative error = 1.6936537002634171813474674895948 % h = 0.001 y1[1] (analytic) = 0.40682248564418708806801747405878 y1[1] (numeric) = 0.41084901287862632279473003326582 absolute error = 0.00402652723443923472671255920704 relative error = 0.98975041363886029012167973873748 % h = 0.001 TOP MAIN SOLVE Loop memory used=2979.3MB, alloc=4.4MB, time=317.46 NO POLE NO POLE x[1] = 0.636 y2[1] (analytic) = 1.8044781165221551791741127690167 y2[1] (numeric) = 1.7737306063494778664360794687748 absolute error = 0.0307475101726773127380333002419 relative error = 1.7039558358257207642649935671835 % h = 0.001 y1[1] (analytic) = 0.40601771067062469684546391773531 y1[1] (numeric) = 0.41007489743494215850506510130877 absolute error = 0.00405718676431746165960118357346 relative error = 0.99926349459390672350065909306462 % h = 0.001 TOP MAIN SOLVE Loop memory used=2983.1MB, alloc=4.4MB, time=317.73 memory used=2986.9MB, alloc=4.4MB, time=318.01 NO POLE NO POLE x[1] = 0.637 y2[1] (analytic) = 1.8038837320927981059854833289476 y2[1] (numeric) = 1.7729596906522349415103561430113 absolute error = 0.0309240414405631644751271859363 relative error = 1.7143034714707612498585872799724 % h = 0.001 y1[1] (analytic) = 0.40521352967930213647575268544688 y1[1] (numeric) = 0.4093015521623117030707702579955 absolute error = 0.00408802248300956659501757254862 relative error = 1.0088563642593443020586424891741 % h = 0.001 TOP MAIN SOLVE Loop memory used=2990.7MB, alloc=4.4MB, time=318.28 NO POLE NO POLE x[1] = 0.638 y2[1] (analytic) = 1.8032885437797759303075226262437 y2[1] (numeric) = 1.772187284997822630256616995367 absolute error = 0.0311012587819533000509056308767 relative error = 1.7246967430272488554252051410054 % h = 0.001 y1[1] (analytic) = 0.40440994347440033126636377052741 y1[1] (numeric) = 0.40852897855029008494805234244868 absolute error = 0.00411903507588975368168857192127 relative error = 1.0185296238025101604199219760604 % h = 0.001 TOP MAIN SOLVE Loop memory used=2994.5MB, alloc=4.4MB, time=318.55 memory used=2998.3MB, alloc=4.4MB, time=318.83 NO POLE NO POLE x[1] = 0.639 y2[1] (analytic) = 1.8026925521782769155633819069852 y2[1] (numeric) = 1.7714133885826547947386649165957 absolute error = 0.0312791635956221208247169903895 relative error = 1.7351357866224087147329677518259 % h = 0.001 y1[1] (analytic) = 0.40360695285950541915358753939926 y1[1] (numeric) = 0.407757178089236316191230286707 absolute error = 0.00415022522973089703764274730774 relative error = 1.028283878740706472167920019667 % h = 0.001 TOP MAIN SOLVE Loop memory used=3002.2MB, alloc=4.4MB, time=319.10 NO POLE NO POLE x[1] = 0.64 y2[1] (analytic) = 1.8020957578842926135861107792603 y2[1] (numeric) = 1.7706380006037408869775635211486 absolute error = 0.0314577572805517266085472581117 relative error = 1.7456207386828296802403320033753 % h = 0.001 y1[1] (analytic) = 0.40280455863760794811645376079207 y1[1] (numeric) = 0.40698615227031269726452129146814 absolute error = 0.00418159363270474914806753067607 relative error = 1.0381197389741590713088478243291 % h = 0.001 TOP MAIN SOLVE Loop memory used=3006.0MB, alloc=4.4MB, time=319.37 memory used=3009.8MB, alloc=4.4MB, time=319.65 NO POLE NO POLE x[1] = 0.641 y2[1] (analytic) = 1.801498161494617268627155046077 y2[1] (numeric) = 1.7698611202586867519421182102335 absolute error = 0.0316370412359305166850368358435 relative error = 1.75615173593531561400273942759 % h = 0.001 y1[1] (analytic) = 0.40200276161110207318625054258986 y1[1] (numeric) = 0.40621590258548422105053865887417 absolute error = 0.00421314097438214786428811628431 relative error = 1.0480378188192511010409982131131 % h = 0.001 TOP MAIN SOLVE Loop memory used=3013.6MB, alloc=4.4MB, time=319.93 NO POLE NO POLE x[1] = 0.642 y2[1] (analytic) = 1.8008997636068472205621621867689 y2[1] (numeric) = 1.7690827467456954299429643368323 absolute error = 0.0318170168611517906191978499366 relative error = 1.7667289154077391758298516239013 % h = 0.001 y1[1] (analytic) = 0.40120156258178475405243616672017 y1[1] (numeric) = 0.40544643052751797605609727379186 absolute error = 0.00424486794573322200366110707169 relative error = 1.0580387370420342330525638322939 % h = 0.001 TOP MAIN SOLVE Loop memory used=3017.4MB, alloc=4.4MB, time=320.20 NO POLE NO POLE x[1] = 0.643 y2[1] (analytic) = 1.8003005648193803072946912810412 y2[1] (numeric) = 1.7683028792635679584294600786546 absolute error = 0.0319976855558123488652312023866 relative error = 1.7773524144298981172882578897351 % h = 0.001 y1[1] (analytic) = 0.40040096235085495326574621610695 y1[1] (numeric) = 0.40467773758998254881592352773273 absolute error = 0.00427677523912759555017731162578 relative error = 1.0681231168920200265615702827239 % h = 0.001 TOP MAIN SOLVE Loop memory used=3021.2MB, alloc=4.4MB, time=320.47 memory used=3025.1MB, alloc=4.4MB, time=320.75 NO POLE NO POLE x[1] = 0.644 y2[1] (analytic) = 1.7997005657314152663584249718963 y2[1] (numeric) = 1.7675215170117041731885822222013 absolute error = 0.032179048719711093169842749695 relative error = 1.7880223706343740901764465399529 % h = 0.001 y1[1] (analytic) = 0.3996009617189128350392977905129 y1[1] (numeric) = 0.40390982526724742549486728165309 absolute error = 0.00430886354833459045556949114019 relative error = 1.0782915861362540225940887101418 % h = 0.001 TOP MAIN SOLVE Loop memory used=3028.9MB, alloc=4.4MB, time=321.02 NO POLE NO POLE x[1] = 0.645 y2[1] (analytic) = 1.7990997669429511357184818651779 y2[1] (numeric) = 1.76673865919010350894502365911 absolute error = 0.0323611077528476267734582060679 relative error = 1.7987389219573939781308705021828 % h = 0.001 y1[1] (analytic) = 0.39880156148595896464849201010053 y1[1] (numeric) = 0.40314269505448239268921426537221 absolute error = 0.00434113356852342804072225527168 relative error = 1.0885447770936751955749230570138 % h = 0.001 TOP MAIN SOLVE Loop memory used=3032.7MB, alloc=4.4MB, time=321.29 memory used=3036.5MB, alloc=4.4MB, time=321.57 NO POLE NO POLE x[1] = 0.646 y2[1] (analytic) = 1.7984981690547866537724285643704 y2[1] (numeric) = 1.7659543049993657993616919947503 absolute error = 0.0325438640554208544107365696201 relative error = 1.8095022066396937600541102203657 % h = 0.001 y1[1] (analytic) = 0.3980027624513935084305154067426 y1[1] (numeric) = 0.40237634844765693742769811224639 absolute error = 0.00437358599626342899718270550379 relative error = 1.0988833266697634111820809030757 % h = 0.001 TOP MAIN SOLVE Loop memory used=3040.3MB, alloc=4.4MB, time=321.84 NO POLE NO POLE x[1] = 0.647 y2[1] (analytic) = 1.7978957726685196585515913395922 y2[1] (numeric) = 1.7651684536406920764398092686381 absolute error = 0.0327273190278275821117820709541 relative error = 1.8203123632273849140884432879685 % h = 0.001 y1[1] (analytic) = 0.39720456541401543438424020351384 y1[1] (numeric) = 0.40161078694353964637281202803675 absolute error = 0.00440622152952421198857182452291 relative error = 1.1093078763914775665962092592547 % h = 0.001 TOP MAIN SOLVE Loop memory used=3044.1MB, alloc=4.4MB, time=322.11 memory used=3047.9MB, alloc=4.4MB, time=322.39 NO POLE NO POLE x[1] = 0.648 y2[1] (analytic) = 1.7972925783865464861232682294208 y2[1] (numeric) = 1.7643811043158853693178133866348 absolute error = 0.032911474070661116805454842786 relative error = 1.8311695305728233708905711686974 % h = 0.001 y1[1] (analytic) = 0.39640697117202171337132288239725 y1[1] (numeric) = 0.40084601203969760422302089260915 absolute error = 0.0044390408676758908516980102119 relative error = 1.1198190724424871167625325328634 % h = 0.001 TOP MAIN SOLVE Loop memory used=3051.8MB, alloc=4.4MB, time=322.66 NO POLE NO POLE x[1] = 0.649 y2[1] (analytic) = 1.796688586812061368194443173288 y2[1] (numeric) = 1.7635922562273515024682624660977 absolute error = 0.0330963305847098657261807071903 relative error = 1.8420738478354810249958294522888 % h = 0.001 y1[1] (analytic) = 0.39560998052300652091929983903959 y1[1] (numeric) = 0.40008202523449579131647539220387 absolute error = 0.00447204471148927039717555316428 relative error = 1.1304175656986997180794436029039 % h = 0.001 TOP MAIN SOLVE Loop memory used=3055.6MB, alloc=4.4MB, time=322.93 memory used=3059.4MB, alloc=4.4MB, time=323.20 NO POLE NO POLE x[1] = 0.65 y2[1] (analytic) = 1.7960837985490558289176045706799 y2[1] (numeric) = 1.7628019085780998932919438971426 absolute error = 0.0332818899709559356256606735373 relative error = 1.8530254544828198130929199456304 % h = 0.001 y1[1] (analytic) = 0.39481359426396043962747832139406 y1[1] (numeric) = 0.39931882802709648043683057851086 absolute error = 0.0045052337631360408093522571168 relative error = 1.1411040117640877490385954521401 % h = 0.001 TOP MAIN SOLVE Loop memory used=3063.2MB, alloc=4.4MB, time=323.48 NO POLE NO POLE x[1] = 0.651 y2[1] (analytic) = 1.7954782142023180808992714612743 y2[1] (numeric) = 1.7620100605717443491083905259768 absolute error = 0.0334681536305737317908809352975 relative error = 1.8640244902911683680630511272422 % h = 0.001 y1[1] (analytic) = 0.39401781319126966217642024629276 y1[1] (numeric) = 0.39855642191745863282177204868158 absolute error = 0.00453860872618897064535180238882 relative error = 1.1518790710068164957699962124138 % h = 0.001 TOP MAIN SOLVE Loop memory used=3067.0MB, alloc=4.4MB, time=323.74 memory used=3070.8MB, alloc=4.4MB, time=324.02 NO POLE NO POLE x[1] = 0.652 y2[1] (analytic) = 1.7948718343774324204118313174373 y2[1] (numeric) = 1.7612167114125038635420069698526 absolute error = 0.0336551229649285568698243475847 relative error = 1.8750710953466012576703587112656 % h = 0.001 y1[1] (analytic) = 0.39322263810071519494181588439859 y1[1] (numeric) = 0.39779480840633729337485373770105 absolute error = 0.00457217030562209843303785330246 relative error = 1.1627434085956768191961528424113 % h = 0.001 TOP MAIN SOLVE Loop memory used=3074.6MB, alloc=4.4MB, time=324.29 NO POLE NO POLE x[1] = 0.653 y2[1] (analytic) = 1.7942646596807786218092942371924 y2[1] (numeric) = 1.7604218603052034123030096775807 absolute error = 0.0338427993755752095062845596117 relative error = 1.8861654100458208168236008943974 % h = 0.001 y1[1] (analytic) = 0.39242806978747206221354379959662 y1[1] (numeric) = 0.39703398899528298508125211123188 absolute error = 0.00460591920781092286770831163526 relative error = 1.1736976945368251495757187103427 % h = 0.001 TOP MAIN SOLVE Loop memory used=3078.5MB, alloc=4.4MB, time=324.56 NO POLE NO POLE memory used=3082.3MB, alloc=4.4MB, time=324.84 x[1] = 0.654 y2[1] (analytic) = 1.7936566907195313311475691218565 y2[1] (numeric) = 1.7596255064552747483623849547307 absolute error = 0.0340311842642565827851841671258 relative error = 1.8973075750970415823623839163512 % h = 0.001 y1[1] (analytic) = 0.39163410904610851102071282369871 y1[1] (numeric) = 0.39627396518664110262804234312552 absolute error = 0.00463985614053259160732951942681 relative error = 1.1847426037108336836234122862916 % h = 0.001 TOP MAIN SOLVE Loop memory used=3086.1MB, alloc=4.4MB, time=325.12 NO POLE NO POLE x[1] = 0.655 y2[1] (analytic) = 1.7930479281016594590098682180164 y2[1] (numeric) = 1.7588276490687571965200697786266 absolute error = 0.0342202790329022624897984393898 relative error = 1.9084977315208773393545734767205 % h = 0.001 y1[1] (analytic) = 0.39084075667058521656348124135303 y1[1] (numeric) = 0.39551473848355130522960285727422 absolute error = 0.00467398181296608866612161592119 relative error = 1.1958788159100536891332763738774 % h = 0.001 TOP MAIN SOLVE Loop memory used=3089.9MB, alloc=4.4MB, time=325.39 NO POLE NO POLE x[1] = 0.656 y2[1] (analytic) = 1.792438372435925572537847198391 y2[1] (numeric) = 1.7580282873522984473655608350223 absolute error = 0.0344100850836271251722863633687 relative error = 1.9197360206512307879250869456293 % h = 0.001 y1[1] (analytic) = 0.39004801345425448825244775327319 y1[1] (numeric) = 0.39475631038994690865875540834838 absolute error = 0.00470829693569242040630765507519 relative error = 1.2071070158762948521107832537993 % h = 0.001 TOP MAIN SOLVE Loop memory used=3093.7MB, alloc=4.4MB, time=325.66 memory used=3097.5MB, alloc=4.4MB, time=325.94 NO POLE NO POLE x[1] = 0.657 y2[1] (analytic) = 1.7918280243318852866690887503875 y2[1] (numeric) = 1.7572274205131553506301578159145 absolute error = 0.034600603818729936038930934473 relative error = 1.9310225841361858396699408130042 % h = 0.001 y1[1] (analytic) = 0.38925588018985947635640817832977 y1[1] (numeric) = 0.3939986824105542764842486702286 absolute error = 0.00474280222069480012784049189883 relative error = 1.2184278933388236318400600108966 % h = 0.001 TOP MAIN SOLVE Loop memory used=3101.3MB, alloc=4.4MB, time=326.21 NO POLE NO POLE x[1] = 0.658 y2[1] (analytic) = 1.7912168843998866545815384348186 y2[1] (numeric) = 1.7564250477591947079300476263164 absolute error = 0.0347918366406919466514908085022 relative error = 1.9423575639389025527432480758038 % h = 0.001 y1[1] (analytic) = 0.38846435766953337925927124668149 y1[1] (numeric) = 0.3932418560508922105151940945982 absolute error = 0.00477749838135883125592284791671 relative error = 1.2298421430526836200798660322143 % h = 0.001 TOP MAIN SOLVE Loop memory used=3105.2MB, alloc=4.4MB, time=326.48 memory used=3109.0MB, alloc=4.4MB, time=326.76 NO POLE NO POLE x[1] = 0.659 y2[1] (analytic) = 1.7906049532510695573455023702928 y2[1] (numeric) = 1.7556211682988940648994367569727 absolute error = 0.0349837849521754924460656133201 relative error = 1.953741102338514714738821900682 % h = 0.001 y1[1] (analytic) = 0.38767344668479865132692622696415 y1[1] (numeric) = 0.3924858328172713404530635952094 absolute error = 0.00481238613247268912613736824525 relative error = 1.2413504648373409317002145054323 % h = 0.001 TOP MAIN SOLVE Loop memory used=3112.8MB, alloc=4.4MB, time=327.03 NO POLE NO POLE x[1] = 0.66 y2[1] (analytic) = 1.7899922314973650927838170912302 y2[1] (numeric) = 1.7548157813413425027129396899512 absolute error = 0.035176450156022590070877401279 relative error = 1.9651733419310300825221455615447 % h = 0.001 y1[1] (analytic) = 0.3868831480265662113848545206037 y1[1] (numeric) = 0.39173061421679351275185940577473 absolute error = 0.00484746619022730136700488517103 relative error = 1.2529535636156576855450633095578 % h = 0.001 TOP MAIN SOLVE Loop memory used=3116.6MB, alloc=4.4MB, time=327.30 memory used=3120.4MB, alloc=4.4MB, time=327.57 NO POLE NO POLE x[1] = 0.661 y2[1] (analytic) = 1.7893787197514949635408027192822 y2[1] (numeric) = 1.7540088860962414289964318147869 absolute error = 0.0353698336552535345443709044953 relative error = 1.9766544256302332882027149806897 % h = 0.001 y1[1] (analytic) = 0.38609346248513465180727674557586 y1[1] (numeric) = 0.39097620175735117868706725126286 absolute error = 0.004882739272216526879790505687 relative error = 1.2646521494531966661397387033242 % h = 0.001 TOP MAIN SOLVE Loop memory used=3124.2MB, alloc=4.4MB, time=327.84 NO POLE NO POLE x[1] = 0.662 y2[1] (analytic) = 1.7887644186269708643606113791516 y2[1] (numeric) = 1.7532004817739053681255759443931 absolute error = 0.0355639368530654962350354347585 relative error = 1.9881844966685914204711498448102 % h = 0.001 y1[1] (analytic) = 0.38530439085018944821862622039934 y1[1] (numeric) = 0.39022259694762678163400476359464 absolute error = 0.0049182060974373334153785431953 relative error = 1.276446937597860289059188411755 % h = 0.001 TOP MAIN SOLVE Loop memory used=3128.0MB, alloc=4.4MB, time=328.11 memory used=3131.9MB, alloc=4.4MB, time=328.39 NO POLE NO POLE x[1] = 0.663 y2[1] (analytic) = 1.7881493287380938685755835804134 y2[1] (numeric) = 1.7523905675852627509112321322775 absolute error = 0.0357587611528311176643514481359 relative error = 1.9997636985981622905600028731152 % h = 0.001 y1[1] (analytic) = 0.38451593391080216980813914682333 y1[1] (numeric) = 0.38946980129709214355617786333994 absolute error = 0.00495386738628997374803871651661 relative error = 1.2883386485198670253393406955544 % h = 0.001 TOP MAIN SOLVE Loop memory used=3135.7MB, alloc=4.4MB, time=328.66 NO POLE NO POLE x[1] = 0.664 y2[1] (analytic) = 1.7875334506999538138052260769289 y2[1] (numeric) = 1.7515791427418567036709611057205 absolute error = 0.0359543079580971101342649712084 relative error = 2.0113921752915053921218750365979 % h = 0.001 y1[1] (analytic) = 0.38372809245542969025835117655314 y1[1] (numeric) = 0.38871781631600785070425861900771 absolute error = 0.00498972386057816044590744245457 relative error = 1.3003280079520684732533861374554 % h = 0.001 TOP MAIN SOLVE Loop memory used=3139.5MB, alloc=4.4MB, time=328.93 NO POLE NO POLE memory used=3143.3MB, alloc=4.4MB, time=329.21 x[1] = 0.665 y2[1] (analytic) = 1.7869167851284286868664255048233 y2[1] (numeric) = 1.750766206455845836685832243477 absolute error = 0.0361505786725828501805932613463 relative error = 2.0230700709425955643532680215779 % h = 0.001 y1[1] (analytic) = 0.38294086727191339928828943345192 y1[1] (numeric) = 0.38796664351542263852629888490028 absolute error = 0.00502577624350923923800945144836 relative error = 1.3124157469306102990923752442681 % h = 0.001 TOP MAIN SOLVE Loop memory used=3147.1MB, alloc=4.4MB, time=329.48 NO POLE NO POLE x[1] = 0.666 y2[1] (analytic) = 1.786299332640184007895512888763 y2[1] (numeric) = 1.7499517579400050320417476412603 absolute error = 0.0363475747001789758537652475027 relative error = 2.0347975300677393677275746561203 % h = 0.001 y1[1] (analytic) = 0.38215425914747841481214844796039 y1[1] (numeric) = 0.38721628440717277578979480726694 absolute error = 0.00506202525969436097764635930655 relative error = 1.3246026018359403022898771865558 % h = 0.001 TOP MAIN SOLVE Loop memory used=3150.9MB, alloc=4.4MB, time=329.76 NO POLE NO POLE x[1] = 0.667 y2[1] (analytic) = 1.7856810938526722136827948944167 y2[1] (numeric) = 1.7491357964077262308544944237488 absolute error = 0.0365452974449459828283004706679 relative error = 2.0465746975064941817357240375272 % h = 0.001 y1[1] (analytic) = 0.38136826886873279571423784499337 y1[1] (numeric) = 0.38646674050388144791621807664105 absolute error = 0.00509847163514865220198023164768 relative error = 1.3368893144341668943183772495571 % h = 0.001 TOP MAIN SOLVE Loop memory used=3154.8MB, alloc=4.4MB, time=330.03 memory used=3158.6MB, alloc=4.4MB, time=330.30 NO POLE NO POLE x[1] = 0.668 y2[1] (analytic) = 1.7850620693841320402201684925159 y2[1] (numeric) = 1.7483183210730192198777380781296 absolute error = 0.0367437483111128203424304143863 relative error = 2.0584017184225900340682613784353 % h = 0.001 y1[1] (analytic) = 0.38058289722166675524098901029949 y1[1] (numeric) = 0.38571801331895813952863059177795 absolute error = 0.00513511609729138428764158147846 relative error = 1.3492766319187713152654724961476 % h = 0.001 TOP MAIN SOLVE Loop memory used=3162.4MB, alloc=4.4MB, time=330.57 NO POLE NO POLE x[1] = 0.669 y2[1] (analytic) = 1.7844422598535879044624364868518 y2[1] (numeric) = 1.7474993311505124174931702012506 absolute error = 0.0369429287030754869692662856012 relative error = 2.0702787383048541707080537980994 % h = 0.001 y1[1] (analytic) = 0.37979814499165187501080734321209 y1[1] (numeric) = 0.38497010436659801621299998752759 absolute error = 0.0051719593749461412021926443155 relative error = 1.3617653069526769468756928308341 % h = 0.001 TOP MAIN SOLVE Loop memory used=3166.2MB, alloc=4.4MB, time=330.85 memory used=3170.0MB, alloc=4.4MB, time=331.13 NO POLE NO POLE x[1] = 0.67 y2[1] (analytic) = 1.7838216658808492853029421448381 y2[1] (numeric) = 1.7466788258554536590820246702996 absolute error = 0.0371428400253956262209174745385 relative error = 2.0822059029681383764383730954089 % h = 0.001 y1[1] (analytic) = 0.37901401296344031964255608587341 y1[1] (numeric) = 0.38422301516178130549383426527487 absolute error = 0.00520900219834098585127817940146 relative error = 1.3743560977106791161239316082586 % h = 0.001 TOP MAIN SOLVE Loop memory used=3173.8MB, alloc=4.4MB, time=331.39 NO POLE NO POLE x[1] = 0.671 y2[1] (analytic) = 1.7832002880865101037641419549564 y2[1] (numeric) = 1.7458568044037109817771768655586 absolute error = 0.0373434836827991219869650893978 relative error = 2.0941833585542490553068156285958 % h = 0.001 y1[1] (analytic) = 0.37823050192116405200345710038291 y1[1] (numeric) = 0.38347674722027267702475455026141 absolute error = 0.0052462452991086250212974498785 relative error = 1.3870497679222388190740880679959 % h = 0.001 TOP MAIN SOLVE Loop memory used=3177.6MB, alloc=4.4MB, time=331.67 memory used=3181.5MB, alloc=4.4MB, time=331.95 NO POLE NO POLE x[1] = 0.672 y2[1] (analytic) = 1.7825781270919481024037363204577 y2[1] (numeric) = 1.7450332660117734085950411932005 absolute error = 0.0375448610801746938086951272572 relative error = 2.1062112515328800806213784709548 % h = 0.001 y1[1] (analytic) = 0.37744761264833404907719334590347 y1[1] (numeric) = 0.3827313020586206219946257851644 absolute error = 0.00528368941028657291743243926093 relative error = 1.399847086914643830876744541268 % h = 0.001 TOP MAIN SOLVE Loop memory used=3185.3MB, alloc=4.4MB, time=332.23 NO POLE NO POLE x[1] = 0.673 y2[1] (analytic) = 1.7819551835193242239369787831393 y2[1] (numeric) = 1.7442082098967517319464827762953 absolute error = 0.037746973622572491990496006844 relative error = 2.1182897287025484240910206963397 % h = 0.001 y1[1] (analytic) = 0.37666534592783951845299718755764 y1[1] (numeric) = 0.38198668119415683174986595375005 absolute error = 0.00532133526631731329686876619241 relative error = 1.41274882965654070427773635527 % h = 0.001 TOP MAIN SOLVE Loop memory used=3189.1MB, alloc=4.4MB, time=332.50 memory used=3192.9MB, alloc=4.4MB, time=332.77 NO POLE NO POLE x[1] = 0.674 y2[1] (analytic) = 1.7813314579915819890757851548342 y2[1] (numeric) = 1.7433816352763792965259598031802 absolute error = 0.037949822715202692549825351654 relative error = 2.1304189371915325737591996574374 % h = 0.001 y1[1] (analytic) = 0.37588370254194711543650804796045 y1[1] (numeric) = 0.38124288614499557563355521224071 absolute error = 0.00535918360304846019704716428026 relative error = 1.425755776801841195950604940547 % h = 0.001 TOP MAIN SOLVE Loop memory used=3196.7MB, alloc=4.4MB, time=333.05 NO POLE NO POLE x[1] = 0.675 y2[1] (analytic) = 1.780706951132446873585264717454 y2[1] (numeric) = 1.7425535413690127815781136441151 absolute error = 0.0381534097634340920071510733389 relative error = 2.1425990244588137504151851444595 % h = 0.001 y1[1] (analytic) = 0.3751026832723001607831822904657 y1[1] (numeric) = 0.38049991843003307804196708923464 absolute error = 0.00539723515773291725878479876894 relative error = 1.4388687147340066973355106609132 % h = 0.001 TOP MAIN SOLVE Loop memory used=3200.5MB, alloc=4.4MB, time=333.31 memory used=3204.3MB, alloc=4.4MB, time=333.59 NO POLE NO POLE x[1] = 0.676 y2[1] (analytic) = 1.7800816635664256845582964350008 y2[1] (numeric) = 1.7417239273936329825410244697006 absolute error = 0.0383577361727927020172719653002 relative error = 2.1548301382950199322044200434444 % h = 0.001 y1[1] (analytic) = 0.37432228889991785905503760065086 y1[1] (numeric) = 0.37975777956894689469914469759533 absolute error = 0.00543549066902903564410709694447 relative error = 1.4520884356107142844706507956496 % h = 0.001 TOP MAIN SOLVE Loop memory used=3208.2MB, alloc=4.4MB, time=333.87 NO POLE NO POLE x[1] = 0.677 y2[1] (analytic) = 1.7794555959188059359087739029204 y2[1] (numeric) = 1.7408927925698455920653507278658 absolute error = 0.0385628033489603438434231750546 relative error = 2.1671124268233726971958152495331 % h = 0.001 y1[1] (analytic) = 0.37354252020519451760151350923091 y1[1] (numeric) = 0.37901647108219528815014568368216 absolute error = 0.00547395087700077054863217445125 relative error = 1.4654157374089080395450840931364 % h = 0.001 TOP MAIN SOLVE Loop memory used=3212.0MB, alloc=4.4MB, time=334.15 NO POLE NO POLE x[1] = 0.678 y2[1] (analytic) = 1.7788287488156552230841435414996 y2[1] (numeric) = 1.7400601361178819804085714603533 absolute error = 0.0387686126977732426755720811463 relative error = 2.1794460385006368937006398298156 % h = 0.001 y1[1] (analytic) = 0.37276337796789876616522907547561 y1[1] (numeric) = 0.37827599449101660247358042062543 absolute error = 0.00551261652311783630835134514982 relative error = 1.4788514239702393355896863972012 % h = 0.001 TOP MAIN SOLVE Loop memory used=3215.8MB, alloc=4.4MB, time=334.42 memory used=3219.6MB, alloc=4.4MB, time=334.70 NO POLE NO POLE x[1] = 0.679 y2[1] (analytic) = 1.778201122883820596997861320718 y2[1] (numeric) = 1.7392259572585999752035510645233 absolute error = 0.0389751656252206217943102561947 relative error = 2.1918311221180731481745954769289 % h = 0.001 y1[1] (analytic) = 0.3719848629671727771134181253074 y1[1] (numeric) = 0.37753635131742863721406873305551 absolute error = 0.00555148835025586010065060774811 relative error = 1.4923963050468998148614089959838 % h = 0.001 TOP MAIN SOLVE Loop memory used=3223.4MB, alloc=4.4MB, time=334.98 NO POLE NO POLE x[1] = 0.68 y2[1] (analytic) = 1.7775727187509279371823940840443 y2[1] (numeric) = 1.7383902552134846406006467319766 absolute error = 0.0391824635374432965817473520677 relative error = 2.204267826802393220571747854495 % h = 0.001 y1[1] (analytic) = 0.37120697598153148629582181257975 y1[1] (numeric) = 0.37679754308422802053524122077705 absolute error = 0.0055905671026965342394194081973 relative error = 1.5060511963478508310708176371449 % h = 0.001 TOP MAIN SOLVE Loop memory used=3227.2MB, alloc=4.4MB, time=335.25 memory used=3231.0MB, alloc=4.4MB, time=335.53 NO POLE NO POLE x[1] = 0.681 y2[1] (analytic) = 1.7769435370453813241633923181245 y2[1] (numeric) = 1.7375530292046490557825794219554 absolute error = 0.0393905078407322683808128961691 relative error = 2.2167563020167182170562272194367 % h = 0.001 y1[1] (analytic) = 0.37042971778886181452981764557857 y1[1] (numeric) = 0.37605957131498958159391202833492 absolute error = 0.00562985352612776706409438275635 relative error = 1.519816919585453165659869943197 % h = 0.001 TOP MAIN SOLVE Loop memory used=3234.9MB, alloc=4.4MB, time=335.79 NO POLE NO POLE x[1] = 0.682 y2[1] (analytic) = 1.776313578396362411055661994136 y2[1] (numeric) = 1.7367142784548350928512898547142 absolute error = 0.0395992999415273182043721394218 relative error = 2.2292966975615396700150074279248 % h = 0.001 y1[1] (analytic) = 0.36965308916642188971356349355254 y1[1] (numeric) = 0.37532243753406572213605068624657 absolute error = 0.00566934836764383242248719269403 relative error = 1.5336943025225008688619370505335 % h = 0.001 TOP MAIN SOLVE Loop memory used=3238.7MB, alloc=4.4MB, time=336.07 memory used=3242.5MB, alloc=4.4MB, time=336.35 NO POLE NO POLE x[1] = 0.683 y2[1] (analytic) = 1.7756828434338297943815638847851 y2[1] (numeric) = 1.7358740021874141940860016380704 absolute error = 0.0398088412464156002955622467147 relative error = 2.2418891635756834953526268084578 % h = 0.001 y1[1] (analytic) = 0.36887709089084026956793446006375 y1[1] (numeric) = 0.37458614326658578731518142787682 absolute error = 0.00570905237574551774724696781307 relative error = 1.5476841790196631172751681462882 % h = 0.001 TOP MAIN SOLVE Loop memory used=3246.3MB, alloc=4.4MB, time=336.62 NO POLE NO POLE x[1] = 0.684 y2[1] (analytic) = 1.7750513327885183841124695384931 y2[1] (numeric) = 1.7350321996263881485717142691366 absolute error = 0.0400191331621302355407552693565 relative error = 2.2545338505372768370864271381099 % h = 0.001 y1[1] (analytic) = 0.36810172373811516500802988115697 y1[1] (numeric) = 0.37385069003845543573383916350316 absolute error = 0.00574896630034027072580928234619 relative error = 1.5617873890833380211594935274272 % h = 0.001 TOP MAIN SOLVE Loop memory used=3250.1MB, alloc=4.4MB, time=336.89 memory used=3253.9MB, alloc=4.4MB, time=337.17 NO POLE NO POLE x[1] = 0.685 y2[1] (analytic) = 1.7744190470919387729339038692666 y2[1] (numeric) = 1.7341888699963898681973493828058 absolute error = 0.0402301770955489047365544864608 relative error = 2.2672309092647178092987588117811 % h = 0.001 y1[1] (analytic) = 0.36732698848361366414502707677567 y1[1] (numeric) = 0.37311607937635600870871207006319 absolute error = 0.00578909089274234456368499328752 relative error = 1.5760047789139223566330063152856 % h = 0.001 TOP MAIN SOLVE Loop memory used=3257.8MB, alloc=4.4MB, time=337.44 NO POLE NO POLE x[1] = 0.686 y2[1] (analytic) = 1.7737859869763766047350050970526 y2[1] (numeric) = 1.7333440125226841630227742489076 absolute error = 0.040441974453692441712230848145 relative error = 2.2799804909176481455406319759283 % h = 0.001 y1[1] (analytic) = 0.36655288590207095691915785350657 y1[1] (numeric) = 0.37238231280774389876010153138899 absolute error = 0.00582942690567294184094367788242 relative error = 1.5903372009545012404013838653294 % h = 0.001 TOP MAIN SOLVE Loop memory used=3261.6MB, alloc=4.4MB, time=337.71 memory used=3265.4MB, alloc=4.4MB, time=337.99 NO POLE NO POLE x[1] = 0.687 y2[1] (analytic) = 1.7731521530748919423229335490696 y2[1] (numeric) = 1.7324976264311685160139271510775 absolute error = 0.0406545266437234263090063979921 relative error = 2.2927827469979287658194856413016 % h = 0.001 y1[1] (analytic) = 0.36577941676758956036458312561155 y1[1] (numeric) = 0.37164939186084991732633093941593 absolute error = 0.00586997509326035696174781380438 relative error = 1.6047855139399618076107227190414 % h = 0.001 TOP MAIN SOLVE Loop memory used=3269.2MB, alloc=4.4MB, time=338.26 NO POLE NO POLE x[1] = 0.688 y2[1] (analytic) = 1.7725175460213186343628616076503 y2[1] (numeric) = 1.7316497109483738571452699122775 absolute error = 0.0408678350729447772175916953728 relative error = 2.3056378293506182713421003276557 % h = 0.001 y1[1] (analytic) = 0.36500658185363854450694038940761 y1[1] (numeric) = 0.37091731806467866170373564190432 absolute error = 0.00591073621104011719679525249671 relative error = 1.6193505829465349968760691193848 % h = 0.001 TOP MAIN SOLVE Loop memory used=3273.0MB, alloc=4.4MB, time=338.53 NO POLE NO POLE memory used=3276.8MB, alloc=4.4MB, time=338.81 x[1] = 0.689 y2[1] (analytic) = 1.7718821664502636815441778645549 y2[1] (numeric) = 1.7308002653014653368687934645807 absolute error = 0.0410819011487983446753843999742 relative error = 2.3185458901649543772221953674499 % h = 0.001 y1[1] (analytic) = 0.36423438193305275889433815338313 y1[1] (numeric) = 0.3701860929490078812128670966313 absolute error = 0.00595171101595512231852894324817 relative error = 1.6340332794417695905115234091182 % h = 0.001 TOP MAIN SOLVE Loop memory used=3280.6MB, alloc=4.4MB, time=339.08 NO POLE NO POLE x[1] = 0.69 y2[1] (analytic) = 1.7712460149971066019735393154978 y2[1] (numeric) = 1.7299492887182430989488029942784 absolute error = 0.0412967262788635030247363212194 relative error = 2.3315070819753382934009303473963 % h = 0.001 y1[1] (analytic) = 0.36346281777803205976257079299128 y1[1] (numeric) = 0.36945571804438784259154506579594 absolute error = 0.00599290026635578282897427280466 relative error = 1.6488344813349427024796644413444 % h = 0.001 TOP MAIN SOLVE Loop memory used=3284.5MB, alloc=4.4MB, time=339.36 NO POLE NO POLE x[1] = 0.691 y2[1] (analytic) = 1.7706090922979987957954062017814 y2[1] (numeric) = 1.7290967804271430526617098275889 absolute error = 0.0415123118708557431336963741925 relative error = 2.3445215576623220640673720431123 % h = 0.001 y1[1] (analytic) = 0.36269189016014053783532666484154 y1[1] (numeric) = 0.36872619488214069461539245753248 absolute error = 0.00603430472200015678006579269094 relative error = 1.6637550730279109515948548423617 % h = 0.001 TOP MAIN SOLVE Loop memory used=3288.3MB, alloc=4.4MB, time=339.63 memory used=3292.1MB, alloc=4.4MB, time=339.90 NO POLE NO POLE x[1] = 0.692 y2[1] (analytic) = 1.7699713989898629090406948784514 y2[1] (numeric) = 1.728242739657237644360057857241 absolute error = 0.0417286593326252646806370212104 relative error = 2.3575894704535988759049943536314 % h = 0.001 y1[1] (analytic) = 0.36192159985030574676016168001679 y1[1] (numeric) = 0.36799752499435983194648819394393 absolute error = 0.00607592514405408518632651392714 relative error = 1.6787959454664066030635183556581 % h = 0.001 TOP MAIN SOLVE Loop memory used=3295.9MB, alloc=4.4MB, time=340.17 NO POLE NO POLE x[1] = 0.693 y2[1] (analytic) = 1.7693329357103921967041848602655 y2[1] (numeric) = 1.7273871656382366284000129459692 absolute error = 0.0419457700721555683041719142963 relative error = 2.3707109739249963455294499226253 % h = 0.001 y1[1] (analytic) = 0.36115194761881793218100990047802 y1[1] (numeric) = 0.36726970991390925821077425695015 absolute error = 0.00611776229509132602976435647213 relative error = 1.6939579961917830075315901392467 % h = 0.001 TOP MAIN SOLVE Loop memory used=3299.7MB, alloc=4.4MB, time=340.44 memory used=3303.5MB, alloc=4.4MB, time=340.72 NO POLE NO POLE x[1] = 0.694 y2[1] (analytic) = 1.7686937030980498850513169680168 y2[1] (numeric) = 1.7265300576004878374315443794963 absolute error = 0.0421636454975620476197725885205 relative error = 2.3838862220014727965221891003194 % h = 0.001 y1[1] (analytic) = 0.36038293423532926144800208598196 y1[1] (numeric) = 0.36654275117442294830485383449027 absolute error = 0.00615981693909368685685174850831 relative error = 1.7092421293932137134419895971412 % h = 0.001 TOP MAIN SOLVE Loop memory used=3307.3MB, alloc=4.4MB, time=340.99 NO POLE NO POLE x[1] = 0.695 y2[1] (analytic) = 1.7680537017920685331550202683599 y2[1] (numeric) = 1.7256714147749779520505280788855 absolute error = 0.0423822870170905811044921894744 relative error = 2.3971153689581165365040054154683 % h = 0.001 y1[1] (analytic) = 0.35961456046885305396536248162878 y1[1] (numeric) = 0.36581665031030420993281826022818 absolute error = 0.0062020898414511559674557785994 relative error = 1.7246492559603496756902106017954 % h = 0.001 TOP MAIN SOLVE Loop memory used=3311.2MB, alloc=4.4MB, time=341.26 memory used=3315.0MB, alloc=4.4MB, time=341.54 NO POLE NO POLE x[1] = 0.696 y2[1] (analytic) = 1.7674129324324493936632062702603 y2[1] (numeric) = 1.7248112363933332698120019202237 absolute error = 0.0426016960391161238512043500366 relative error = 2.4103985694211481447322575560067 % h = 0.001 y1[1] (analytic) = 0.35884682708776301217815349807899 y1[1] (numeric) = 0.36509140885672504437374120988094 absolute error = 0.00624458176896203219558771180195 relative error = 1.7401802935364390313111224819918 % h = 0.001 TOP MAIN SOLVE Loop memory used=3318.8MB, alloc=4.4MB, time=341.81 NO POLE NO POLE x[1] = 0.697 y2[1] (analytic) = 1.7667713956599617727975696105186 y2[1] (numeric) = 1.7239495216878204736038041484434 absolute error = 0.0428218739721412991937654620752 relative error = 2.4237359783689257807453567694055 % h = 0.001 y1[1] (analytic) = 0.35807973485979245319863729763077 y1[1] (numeric) = 0.36436702834962550648047938662263 absolute error = 0.00628729348983305328184208899186 relative error = 1.7558361665719139612420842625361 % h = 0.001 TOP MAIN SOLVE Loop memory used=3322.6MB, alloc=4.4MB, time=342.08 memory used=3326.4MB, alloc=4.4MB, time=342.35 NO POLE NO POLE x[1] = 0.698 y2[1] (analytic) = 1.7661290921161423895843352295162 y2[1] (numeric) = 1.7230862698913473993798265117105 absolute error = 0.0430428222247949902045087178057 relative error = 2.4371277511329535246181163623436 % h = 0.001 y1[1] (analytic) = 0.35731328455203354107302265973213 y1[1] (numeric) = 0.36364351032571306391041969670967 absolute error = 0.00633022577367952283739703697754 relative error = 1.771617806378449206093853908255 % h = 0.001 TOP MAIN SOLVE Loop memory used=3330.2MB, alloc=4.4MB, time=342.62 NO POLE NO POLE x[1] = 0.699 y2[1] (analytic) = 1.765486022443294734317592806382 y2[1] (numeric) = 1.7222214802374638032521143831875 absolute error = 0.0432645422058309310654784231945 relative error = 2.4505740433988927594317373814208 % h = 0.001 y1[1] (analytic) = 0.35654747693093651968936485911696 y1[1] (numeric) = 0.36292085632246195558881368452697 absolute error = 0.00637337939152543589944882541001 relative error = 1.7875261511834968533289870680138 % h = 0.001 TOP MAIN SOLVE Loop memory used=3334.0MB, alloc=4.4MB, time=342.89 NO POLE NO POLE memory used=3337.9MB, alloc=4.4MB, time=343.17 x[1] = 0.7 y2[1] (analytic) = 1.7648421872844884262558599901919 y2[1] (numeric) = 1.7213551519603621279410467781367 absolute error = 0.0434870353241262983148132120552 relative error = 2.4640750112075766066025523727089 % h = 0.001 y1[1] (analytic) = 0.35578231276230894632738564860128 y1[1] (numeric) = 0.36219906787811254940534076366705 absolute error = 0.00641675511580360307795511506577 relative error = 1.8035621461853020633050347005045 % h = 0.001 TOP MAIN SOLVE Loop memory used=3341.7MB, alloc=4.4MB, time=343.44 NO POLE NO POLE x[1] = 0.701 y2[1] (analytic) = 1.7641975872835585705525167305838 y2[1] (numeric) = 1.7204872842948782685828298162469 absolute error = 0.0437103029886803019696869143369 relative error = 2.4776308109560274247541681333128 % h = 0.001 y1[1] (analytic) = 0.35501779281131492585097979665585 y1[1] (numeric) = 0.36147814653167069914454254742538 absolute error = 0.00646035372035577329356275076953 relative error = 1.8197267436084044522945416074384 % h = 0.001 TOP MAIN SOLVE Loop memory used=3345.5MB, alloc=4.4MB, time=343.72 NO POLE NO POLE x[1] = 0.702 y2[1] (analytic) = 1.7635522230851051144207537773021 y2[1] (numeric) = 1.7196178764764923378935378217539 absolute error = 0.0439343466086127765272159555482 relative error = 2.4912415993984773828583393714485 % h = 0.001 y1[1] (analytic) = 0.35425391784247434554417398718465 y1[1] (numeric) = 0.360758093822907100650771348224 absolute error = 0.00650417598043275510659736103935 relative error = 1.8360209027596299018534024980719 % h = 0.001 TOP MAIN SOLVE Loop memory used=3349.3MB, alloc=4.4MB, time=344.00 memory used=3353.1MB, alloc=4.4MB, time=344.27 NO POLE NO POLE x[1] = 0.703 y2[1] (analytic) = 1.7629060953344922025336791836665 y2[1] (numeric) = 1.7187469277413294306889368973778 absolute error = 0.0441591675931627718447422862887 relative error = 2.5049075336473921184107689751384 % h = 0.001 y1[1] (analytic) = 0.35349068861966211059130324548666 y1[1] (numeric) = 0.36003891129235664722829668096129 absolute error = 0.00654822267269453663699343547463 relative error = 1.8524455900845776157814431991618 % h = 0.001 TOP MAIN SOLVE Loop memory used=3356.9MB, alloc=4.4MB, time=344.55 NO POLE NO POLE x[1] = 0.704 y2[1] (analytic) = 1.7622592046778475316602274138083 y2[1] (numeric) = 1.7178744373261603877593264523167 absolute error = 0.0443847673516871439009009614916 relative error = 2.5186287711744974914490679513454 % h = 0.001 y1[1] (analytic) = 0.35272810590610738020216941016085 y1[1] (numeric) = 0.35932060048131778427721437012764 absolute error = 0.00659249457521040407504495996679 relative error = 1.8690017792246072984121683716994 % h = 0.001 TOP MAIN SOLVE Loop memory used=3360.7MB, alloc=4.4MB, time=344.82 memory used=3364.6MB, alloc=4.4MB, time=345.09 NO POLE NO POLE x[1] = 0.705 y2[1] (analytic) = 1.7616115517620617045375164177085 y2[1] (numeric) = 1.7170004044684025590986348095198 absolute error = 0.0446111472936591454388816081887 relative error = 2.5324054698118094452613198364366 % h = 0.001 y1[1] (analytic) = 0.35196617046439280438294552573213 y1[1] (numeric) = 0.35860316293185186316580362472414 absolute error = 0.00663699246745905878285809899201 relative error = 1.8856904510743313810905736069931 % h = 0.001 TOP MAIN SOLVE Loop memory used=3368.4MB, alloc=4.4MB, time=345.37 NO POLE NO POLE x[1] = 0.706 y2[1] (analytic) = 1.7609631372347875829802988016283 y2[1] (numeric) = 1.7161248284061205664870056632068 absolute error = 0.0448383088286670164932931384215 relative error = 2.5462377877526669846750813017003 % h = 0.001 y1[1] (analytic) = 0.35120488305645376135358938503038 y1[1] (numeric) = 0.35788660018678249433997820857343 absolute error = 0.00668171713032873298638882354305 relative error = 1.9025125938396172774569944408309 % h = 0.001 TOP MAIN SOLVE Loop memory used=3372.2MB, alloc=4.4MB, time=345.64 memory used=3376.0MB, alloc=4.4MB, time=345.91 NO POLE NO POLE x[1] = 0.707 y2[1] (analytic) = 1.7603139617444396402281539844266 y2[1] (numeric) = 1.7152477083780270654261128041115 absolute error = 0.0450662533664125748020411803151 relative error = 2.560125883552768282858213591734 % h = 0.001 y1[1] (analytic) = 0.35044424444357759561252880384534 y1[1] (numeric) = 0.35717091378969489967047859651753 absolute error = 0.00672666934611730405794979267219 relative error = 1.9194692030961047025595101924375 % h = 0.001 TOP MAIN SOLVE Loop memory used=3379.8MB, alloc=4.4MB, time=346.18 NO POLE NO POLE x[1] = 0.708 y2[1] (analytic) = 1.7596640259401933125310689925183 y2[1] (numeric) = 1.7143690436234835064264411771981 absolute error = 0.0452949823167098061046278153202 relative error = 2.5740699161312099276046791526505 % h = 0.001 y1[1] (analytic) = 0.3496842553864028566493805631088 y1[1] (numeric) = 0.35645610528493526403845276925661 absolute error = 0.00677184989853240738907220614781 relative error = 1.9365612818482431458759081072461 % h = 0.001 TOP MAIN SOLVE Loop memory used=3383.6MB, alloc=4.4MB, time=346.46 memory used=3387.5MB, alloc=4.4MB, time=346.74 NO POLE NO POLE x[1] = 0.709 y2[1] (analytic) = 1.7590133304719843499740563078382 y2[1] (numeric) = 1.7134888333825008956457729846327 absolute error = 0.0455244970894834543282833232055 relative error = 2.5880700447715293181203551478292 % h = 0.001 y1[1] (analytic) = 0.34892491664491853830646430582142 y1[1] (numeric) = 0.35574217621761008616007406119381 absolute error = 0.00681725957269154785360975537239 relative error = 1.9537898405888546440472353481588 % h = 0.001 TOP MAIN SOLVE Loop memory used=3391.3MB, alloc=4.4MB, time=347.01 NO POLE NO POLE x[1] = 0.71 y2[1] (analytic) = 1.7583618759905081665414579441396 y2[1] (numeric) = 1.7126070768957405548781181955868 absolute error = 0.0457547990947676116633397485528 relative error = 2.6021264291227502233660113427752 % h = 0.001 y1[1] (analytic) = 0.34816622897846331878987202714716 y1[1] (numeric) = 0.35502912813358552865084523661421 absolute error = 0.00686289915512220986097320946705 relative error = 1.971155897359227055517237874025 % h = 0.001 TOP MAIN SOLVE Loop memory used=3395.1MB, alloc=4.4MB, time=347.28 memory used=3398.9MB, alloc=4.4MB, time=347.55 NO POLE NO POLE x[1] = 0.711 y2[1] (analytic) = 1.7577096631472191894215856872678 y2[1] (numeric) = 1.7117237734045148808923294740065 absolute error = 0.0459858897427043085292562132613 relative error = 2.6162392292004315130568748923287 % h = 0.001 y1[1] (analytic) = 0.3474081931457248013308531465424 y1[1] (numeric) = 0.35431696257948676733023872983967 absolute error = 0.00690876943376196599938558329727 relative error = 1.9886604778097430963443456402976 % h = 0.001 TOP MAIN SOLVE Loop memory used=3402.7MB, alloc=4.4MB, time=347.83 NO POLE NO POLE x[1] = 0.712 y2[1] (analytic) = 1.7570566925943302075523481947161 y2[1] (numeric) = 1.7108389221507881041196421857949 absolute error = 0.0462177704435421034327060089212 relative error = 2.6304086053877190724606597132923 % h = 0.001 y1[1] (analytic) = 0.34665080990473875549827450047127 y1[1] (numeric) = 0.35360568110269733976732374466515 absolute error = 0.00695487119795858426904924419388 relative error = 2.0063046152610504542142787887957 % h = 0.001 TOP MAIN SOLVE Loop memory used=3406.5MB, alloc=4.4MB, time=348.10 NO POLE NO POLE x[1] = 0.713 y2[1] (analytic) = 1.7564029649848117194085164087805 y2[1] (numeric) = 1.7099525223771770466893807979314 absolute error = 0.0464504426076346727191356108491 relative error = 2.6446347184364009121785742059943 % h = 0.001 y1[1] (analytic) = 0.34589408001288835916291394318423 y1[1] (numeric) = 0.35289528525135849306803166739499 absolute error = 0.00700120523847013390511772421076 relative error = 2.0240893507657783561409139098801 % h = 0.001 TOP MAIN SOLVE Loop memory used=3410.3MB, alloc=4.4MB, time=348.36 memory used=3414.2MB, alloc=4.4MB, time=348.64 NO POLE NO POLE x[1] = 0.714 y2[1] (analytic) = 1.7557484809723912800312794959955 y2[1] (numeric) = 1.7090645733269518798120736338844 absolute error = 0.0466839076454394002192058621111 relative error = 2.6589177294679654841366389384676 % h = 0.001 y1[1] (analytic) = 0.34513800422690344111434559120292 y1[1] (numeric) = 0.35218577657436853090471200615956 absolute error = 0.00704777234746508979036641495664 relative error = 2.0420157331708060245099878125971 % h = 0.001 TOP MAIN SOLVE Loop memory used=3418.0MB, alloc=4.4MB, time=348.91 NO POLE NO POLE x[1] = 0.715 y2[1] (analytic) = 1.7550932412115528473007442832391 y2[1] (numeric) = 1.7081750742440368805092186022663 absolute error = 0.0469181669675159667915256809728 relative error = 2.6732577999746632150576463676904 % h = 0.001 y1[1] (analytic) = 0.344382583302859724331174094563 y1[1] (numeric) = 0.35147715662138215978863182690174 absolute error = 0.00709457331852243545745773233874 relative error = 2.0600848191800885160038856985591 % h = 0.001 TOP MAIN SOLVE Loop memory used=3421.8MB, alloc=4.4MB, time=349.18 memory used=3425.6MB, alloc=4.4MB, time=349.46 NO POLE NO POLE x[1] = 0.716 y2[1] (analytic) = 1.7544372463575361274520319179542 y2[1] (numeric) = 1.707284024373011187688943169027 absolute error = 0.0471532219845249397630887489272 relative error = 2.6876550918205712687272785910843 % h = 0.001 y1[1] (analytic) = 0.34362781799617806990537466451765 y1[1] (numeric) = 0.35076942694280983458607241347948 absolute error = 0.00714160894663176468069774896183 relative error = 2.0782976734180454985556528528626 % h = 0.001 TOP MAIN SOLVE Loop memory used=3429.4MB, alloc=4.4MB, time=349.73 NO POLE NO POLE x[1] = 0.717 y2[1] (analytic) = 1.7537804970663359198356262363344 y2[1] (numeric) = 1.7063914229591095575668024975906 absolute error = 0.0473890741072263622688237387438 relative error = 2.7021097672426615484112673477842 % h = 0.001 y1[1] (analytic) = 0.34287370906162372162149493329869 y1[1] (numeric) = 0.35006258908981710327867763573315 absolute error = 0.00718888002819338165718270243446 relative error = 2.0966553684935185828261121519743 % h = 0.001 TOP MAIN SOLVE Loop memory used=3433.2MB, alloc=4.4MB, time=349.99 memory used=3437.0MB, alloc=4.4MB, time=350.27 NO POLE NO POLE x[1] = 0.718 y2[1] (analytic) = 1.7531229939947014609226290790717 y2[1] (numeric) = 1.7054972692482231184309603361984 absolute error = 0.0476257247464783424916687428733 relative error = 2.7166219888518719508240338790377 % h = 0.001 y1[1] (analytic) = 0.3421202572533055511914740666705 y1[1] (numeric) = 0.3493566446143239509687092651147 absolute error = 0.0072363873610183997772351984442 relative error = 2.115158985064302886789330743213 % h = 0.001 TOP MAIN SOLVE Loop memory used=3440.9MB, alloc=4.4MB, time=350.54 NO POLE NO POLE x[1] = 0.719 y2[1] (analytic) = 1.7524647378001357675555785493558 y2[1] (numeric) = 1.7046015624869001247509978873412 absolute error = 0.0478631753132356428045806620146 relative error = 2.7311919196341808830929856686908 % h = 0.001 y1[1] (analytic) = 0.34136746332467530414583389439473 y1[1] (numeric) = 0.34865159506900414312986523256871 absolute error = 0.00728413174432883898403133817398 relative error = 2.1338096119022585748585659164552 % h = 0.001 TOP MAIN SOLVE Loop memory used=3444.7MB, alloc=4.4MB, time=350.81 memory used=3448.5MB, alloc=4.4MB, time=351.09 NO POLE NO POLE x[1] = 0.72 y2[1] (analytic) = 1.751805729140894979445486962252 y2[1] (numeric) = 1.703704301922346710629596550535 absolute error = 0.048101427218548268815890411717 relative error = 2.7458197229516850542065733823751 % h = 0.001 y1[1] (analytic) = 0.34061532802852684638199616735183 y1[1] (numeric) = 0.34794744200728456810431757779232 absolute error = 0.00733211397875772172232141044049 relative error = 2.1526083459590081765972832482646 % h = 0.001 TOP MAIN SOLVE Loop memory used=3452.3MB, alloc=4.4MB, time=351.36 NO POLE NO POLE x[1] = 0.721 y2[1] (analytic) = 1.7511459686759877009157559883658 y2[1] (numeric) = 1.7028054868024276425963410868193 absolute error = 0.0483404818735600583194149015465 relative error = 2.7605055625436805524783253754601 % h = 0.001 y1[1] (analytic) = 0.3398638521169954113704793929394 y1[1] (numeric) = 0.34724418698334457884662759278123 absolute error = 0.00738033486634916747614819984183 relative error = 2.1715562924322255544480756042323 % h = 0.001 TOP MAIN SOLVE Loop memory used=3456.1MB, alloc=4.4MB, time=351.63 memory used=3459.9MB, alloc=4.4MB, time=351.91 NO POLE NO POLE x[1] = 0.722 y2[1] (analytic) = 1.750485457065174341893627247823 y2[1] (numeric) = 1.7019051163756670717428904112383 absolute error = 0.0485803406895072701507368365847 relative error = 2.7752496025277472206033798170674 % h = 0.001 y1[1] (analytic) = 0.33911303634155684801972804248768 y1[1] (numeric) = 0.34654183155211533391519641569188 absolute error = 0.0074287952105584858954683732042 relative error = 2.1906545648325224550866631279858 % h = 0.001 TOP MAIN SOLVE Loop memory used=3463.7MB, alloc=4.4MB, time=352.18 NO POLE NO POLE x[1] = 0.723 y2[1] (analytic) = 1.7498241949689664581498273630602 y2[1] (numeric) = 1.701003189891249285198763878197 absolute error = 0.0488210050777171729510634848632 relative error = 2.7900520074008363399285266578684 % h = 0.001 y1[1] (analytic) = 0.33836288145302686920032626580041 y1[1] (numeric) = 0.34584037726927913771191008351426 absolute error = 0.00747749581625226851158381771385 relative error = 2.2099042850509386449791153608792 % h = 0.001 TOP MAIN SOLVE Loop memory used=3467.6MB, alloc=4.4MB, time=352.45 NO POLE NO POLE memory used=3471.4MB, alloc=4.4MB, time=352.72 x[1] = 0.724 y2[1] (analytic) = 1.7491621830486260907870672307261 y2[1] (numeric) = 1.7000997065990194569469915839674 absolute error = 0.0490624764496066338400756467587 relative error = 2.8049129420403616356014542338326 % h = 0.001 y1[1] (analytic) = 0.33761338820156030092934758854468 y1[1] (numeric) = 0.34513982569126877997063880385524 absolute error = 0.00752643748970847904129121531056 relative error = 2.2293065834270416974986527517711 % h = 0.001 TOP MAIN SOLVE Loop memory used=3475.2MB, alloc=4.4MB, time=353.00 NO POLE NO POLE x[1] = 0.725 y2[1] (analytic) = 1.7484994219661651049780560241387 y2[1] (numeric) = 1.6991946657494843979788778707586 absolute error = 0.0493047562166807069991781533801 relative error = 2.8198325717052936143097691320145 % h = 0.001 y1[1] (analytic) = 0.33686455733665033221559140807746 y1[1] (numeric) = 0.34444017837526687449525095727825 absolute error = 0.00757562103861654227965954920079 relative error = 2.2488625988176425665546562333633 % h = 0.001 TOP MAIN SOLVE Loop memory used=3479.0MB, alloc=4.4MB, time=353.27 NO POLE NO POLE x[1] = 0.726 y2[1] (analytic) = 1.7478359123843445279536911882302 y2[1] (numeric) = 1.6982880665938133057871278776487 absolute error = 0.0495478457905312221665633105815 relative error = 2.8348110620372572463654239387524 % h = 0.001 y1[1] (analytic) = 0.33611638960712776556645644240991 y1[1] (numeric) = 0.34374143687920519714780309213007 absolute error = 0.00762504727207743158134664972016 relative error = 2.2685734786661331501117974622937 % h = 0.001 TOP MAIN SOLVE Loop memory used=3482.8MB, alloc=4.4MB, time=353.56 memory used=3486.6MB, alloc=4.4MB, time=353.84 NO POLE NO POLE x[1] = 0.727 y2[1] (analytic) = 1.7471716549666738862420864387327 y2[1] (numeric) = 1.6973799083838385131965876453149 absolute error = 0.0497917465828353730454987934178 relative error = 2.8498485790616330039354465390882 % h = 0.001 y1[1] (analytic) = 0.33536888576116026815720062537343 y1[1] (numeric) = 0.34304360276176402308756792360963 absolute error = 0.0076747170006037549303672982362 relative error = 2.2884403790724521162426154134234 % h = 0.001 TOP MAIN SOLVE Loop memory used=3490.5MB, alloc=4.4MB, time=354.11 NO POLE NO POLE x[1] = 0.728 y2[1] (analytic) = 1.7465066503774105421591005265237 y2[1] (numeric) = 1.6964701903720562365318489438839 absolute error = 0.0500364600053543056272515826398 relative error = 2.8649452891886612672653176389998 % h = 0.001 y1[1] (analytic) = 0.33462204654625162366333627866526 y1[1] (numeric) = 0.34234667758237146326156309799561 absolute error = 0.00772463103611983959822681933035 relative error = 2.3084644648636853344736859261323 % h = 0.001 TOP MAIN SOLVE Loop memory used=3494.3MB, alloc=4.4MB, time=354.39 memory used=3498.1MB, alloc=4.4MB, time=354.66 NO POLE NO POLE x[1] = 0.729 y2[1] (analytic) = 1.7458408992815590295510302765453 y2[1] (numeric) = 1.6955589118116273231209706563603 absolute error = 0.050281987469931706430059620185 relative error = 2.8801013592145501107869910419532 % h = 0.001 y1[1] (analytic) = 0.33387587270924098475690872831604 y1[1] (numeric) = 0.34165066290120280014724423144872 absolute error = 0.00777479019196181539033550313268 relative error = 2.3286469096653073261652026879748 % h = 0.001 TOP MAIN SOLVE Loop memory used=3501.9MB, alloc=4.4MB, time=354.94 NO POLE NO POLE x[1] = 0.73 y2[1] (analytic) = 1.7451744023448703887901321585503 y2[1] (numeric) = 1.6946460719563779981345692139737 absolute error = 0.0505283303884923906555629445766 relative error = 2.8953169563225864810493948377261 % h = 0.001 y1[1] (analytic) = 0.33313036499630212626740586923847 y1[1] (numeric) = 0.34095556027917982274802648064035 absolute error = 0.00782519528287769648062061140188 relative error = 2.3489888959730702195179212909449 % h = 0.001 TOP MAIN SOLVE Loop memory used=3505.7MB, alloc=4.4MB, time=355.21 memory used=3509.5MB, alloc=4.4MB, time=355.48 NO POLE NO POLE x[1] = 0.731 y2[1] (analytic) = 1.7445071602338415010236373940972 y2[1] (numeric) = 1.6937316700608006107595312444163 absolute error = 0.0507754901730408902641061496809 relative error = 2.9105922480842507784552919665697 % h = 0.001 y1[1] (analytic) = 0.33238552415294269900804551688526 y1[1] (numeric) = 0.34026137127797016084229964963048 absolute error = 0.00787584712502746183425413274522 relative error = 2.369491615225546767541792443836 % h = 0.001 TOP MAIN SOLVE Loop memory used=3513.3MB, alloc=4.4MB, time=355.75 NO POLE NO POLE x[1] = 0.732 y2[1] (analytic) = 1.7438391736157144216769263507235 y2[1] (numeric) = 1.6928157053800543797066022593211 absolute error = 0.0510234682356600419703240914024 relative error = 2.9259274024603348548346165237796 % h = 0.001 y1[1] (analytic) = 0.33164135092400348426818671966681 y1[1] (numeric) = 0.33956809745998661848660258392442 absolute error = 0.00792674653598313421841586425761 relative error = 2.3901562678773340609591786423188 % h = 0.001 TOP MAIN SOLVE Loop memory used=3517.2MB, alloc=4.4MB, time=356.02 memory used=3521.0MB, alloc=4.4MB, time=356.30 NO POLE NO POLE x[1] = 0.733 y2[1] (analytic) = 1.7431704431584757132115287200688 y2[1] (numeric) = 1.6918981771699661380511058734531 absolute error = 0.0512722659885095751604228466157 relative error = 2.9413225878020634389308385909266 % h = 0.001 y1[1] (analytic) = 0.33089784605365764897261053965515 y1[1] (numeric) = 0.3388757403883865067736233484783 absolute error = 0.00797789433472885780101280882315 relative error = 2.4109840634729246425644382201248 % h = 0.001 TOP MAIN SOLVE Loop memory used=3524.8MB, alloc=4.4MB, time=356.57 NO POLE NO POLE x[1] = 0.734 y2[1] (analytic) = 1.7425009695308557771386167218896 y2[1] (numeric) = 1.6909790846870310774060487149571 absolute error = 0.0515218848438246997325680069325 relative error = 2.9567779728522190019235462467382 % h = 0.001 y1[1] (analytic) = 0.33015501028541000150841514223148 y1[1] (numeric) = 0.33818430162707097584569243159764 absolute error = 0.00802929134166097433727728936616 relative error = 2.4319762207212518050331773007432 % h = 0.001 TOP MAIN SOLVE Loop memory used=3528.6MB, alloc=4.4MB, time=356.84 NO POLE NO POLE memory used=3532.4MB, alloc=4.4MB, time=357.12 x[1] = 0.735 y2[1] (analytic) = 1.7418307534023281852886593204188 y2[1] (numeric) = 1.6900584271884134914268668536194 absolute error = 0.0517723262139146938617924667994 relative error = 2.9722937267462700751572696557129 % h = 0.001 y1[1] (analytic) = 0.32941284436209624822026936771989 y1[1] (numeric) = 0.33749378274068434616443696118005 absolute error = 0.00808093837858809794416759346016 relative error = 2.4531339675709159305811000668211 % h = 0.001 TOP MAIN SOLVE Loop memory used=3536.2MB, alloc=4.4MB, time=357.39 NO POLE NO POLE x[1] = 0.736 y2[1] (analytic) = 1.7411597954431090103379061833593 y2[1] (numeric) = 1.689136203931947518647070242458 absolute error = 0.0520235915111614916908359409013 relative error = 2.9878700190135030322936096915561 % h = 0.001 y1[1] (analytic) = 0.32867134902588225057476828969201 y1[1] (numeric) = 0.33680418529461343903726466359213 absolute error = 0.00813283626873118846249637390012 relative error = 2.4744585412860988082268009173017 % h = 0.001 TOP MAIN SOLVE Loop memory used=3540.0MB, alloc=4.4MB, time=357.66 NO POLE NO POLE x[1] = 0.737 y2[1] (analytic) = 1.7404880963241561555923708569716 y2[1] (numeric) = 1.6882124141761378846440423370598 absolute error = 0.0522756821480182709483285199118 relative error = 3.0035070195781573481509733670196 % h = 0.001 y1[1] (analytic) = 0.32793052501826328299463359552502 y1[1] (numeric) = 0.33611551085498690640134703864092 absolute error = 0.0081849858367236234067134431159 relative error = 2.4959511885231729427278949884474 % h = 0.001 TOP MAIN SOLVE Loop memory used=3543.9MB, alloc=4.4MB, time=357.93 memory used=3547.7MB, alloc=4.4MB, time=358.21 NO POLE NO POLE x[1] = 0.738 y2[1] (analytic) = 1.7398156567171686840299833732174 y2[1] (numeric) = 1.6872870571801606435342527269261 absolute error = 0.0525285995370080404957306462913 relative error = 3.0192048987605643465436613580644 % h = 0.001 y1[1] (analytic) = 0.32719037308006329136350095495073 y1[1] (numeric) = 0.3354277609886745598657719666007 absolute error = 0.00823738790861126850227101164997 relative error = 2.5176131654080129485486221831571 % h = 0.001 TOP MAIN SOLVE Loop memory used=3551.5MB, alloc=4.4MB, time=358.48 NO POLE NO POLE x[1] = 0.739 y2[1] (analytic) = 1.7391424772945861466015832467493 y2[1] (numeric) = 1.6863601322038639187971412836765 absolute error = 0.0527823450907222278044419630728 relative error = 3.0349638272782894494797000785949 % h = 0.001 y1[1] (analytic) = 0.32645089395143415220203587174673 y1[1] (numeric) = 0.33474093726328669901253670508677 absolute error = 0.00829004331185254681050083334004 relative error = 2.5394457376140162024927228234561 % h = 0.001 TOP MAIN SOLVE Loop memory used=3555.3MB, alloc=4.4MB, time=358.75 memory used=3559.1MB, alloc=4.4MB, time=359.03 NO POLE NO POLE x[1] = 0.74 y2[1] (analytic) = 1.7384685587295879097914245606988 y2[1] (numeric) = 1.6854316385077686434269330022877 absolute error = 0.0530369202218192663644915584111 relative error = 3.0507839762472779401246630389988 % h = 0.001 y1[1] (analytic) = 0.32571208837185493251611884239183 y1[1] (numeric) = 0.33405504124717343895705297472716 absolute error = 0.00834295287531850644093413233533 relative error = 2.5614501804408400099114044537734 % h = 0.001 TOP MAIN SOLVE Loop memory used=3562.9MB, alloc=4.4MB, time=359.30 NO POLE NO POLE x[1] = 0.741 y2[1] (analytic) = 1.7377939016960924824378655807009 y2[1] (numeric) = 1.6845015753530692994116433836154 absolute error = 0.0532923263430231830262221970855 relative error = 3.0666655171830042519867845669641 % h = 0.001 y1[1] (analytic) = 0.32497395708013115031783997343909 y1[1] (numeric) = 0.33337007450942403716883657307118 absolute error = 0.00839611742929288685099659963209 relative error = 2.5836277788938626216862320409606 % h = 0.001 TOP MAIN SOLVE Loop memory used=3566.7MB, alloc=4.4MB, time=359.56 memory used=3570.6MB, alloc=4.4MB, time=359.84 NO POLE NO POLE x[1] = 0.742 y2[1] (analytic) = 1.7371185068687568418149160764094 y2[1] (numeric) = 1.6835699420016346565385348792541 absolute error = 0.0535485648671221852763811971553 relative error = 3.0826086220016247968269343489592 % h = 0.001 y1[1] (analytic) = 0.32423650081439403582004253655019 y1[1] (numeric) = 0.33268603861986621955305469598908 absolute error = 0.00844953780547218373301215943889 relative error = 2.6059798277643755225046126043882 % h = 0.001 TOP MAIN SOLVE Loop memory used=3574.4MB, alloc=4.4MB, time=360.11 NO POLE NO POLE x[1] = 0.743 y2[1] (analytic) = 1.7364423749229757589753162689006 y2[1] (numeric) = 1.6826367377160085105252855933407 absolute error = 0.0538056372069672484500306755599 relative error = 3.0986134630211343438454946351364 % h = 0.001 y1[1] (analytic) = 0.32349972031209979330515426658597 y1[1] (numeric) = 0.33200293514906550579360488495936 absolute error = 0.00850321483696571248845061837339 relative error = 2.6285076317105144953052500597543 % h = 0.001 TOP MAIN SOLVE Loop memory used=3578.2MB, alloc=4.4MB, time=360.38 memory used=3582.0MB, alloc=4.4MB, time=360.66 NO POLE NO POLE x[1] = 0.744 y2[1] (analytic) = 1.7357655065348811233558220608284 y2[1] (numeric) = 1.6817019617594104204761321101952 absolute error = 0.0540635447754707028796899506332 relative error = 3.1146802129625259627468643147766 % h = 0.001 y1[1] (analytic) = 0.32276361631002886366904453386027 y1[1] (numeric) = 0.33132076566832453395840025710852 absolute error = 0.00855714935829567028935572324825 relative error = 2.6512125053389370521867650847856 % h = 0.001 TOP MAIN SOLVE Loop memory used=3585.8MB, alloc=4.4MB, time=360.93 NO POLE NO POLE x[1] = 0.745 y2[1] (analytic) = 1.7350879023813412666453719439904 y2[1] (numeric) = 1.6807656133957364456622489917157 absolute error = 0.0543222889856048209831229522747 relative error = 3.13080904495095454333120639464 % h = 0.001 y1[1] (analytic) = 0.32202818954428518764064484663867 y1[1] (numeric) = 0.33063953174968238436753641266179 absolute error = 0.00861134220539719672689156602312 relative error = 2.6740957732872539085590681858001 % h = 0.001 TOP MAIN SOLVE Loop memory used=3589.6MB, alloc=4.4MB, time=361.20 NO POLE NO POLE memory used=3593.4MB, alloc=4.4MB, time=361.47 x[1] = 0.746 y2[1] (analytic) = 1.7344095631399602859168117160826 y2[1] (numeric) = 1.6798276918895598816256281642109 absolute error = 0.0545818712504004042911835518717 relative error = 3.1470001325169039043121586832486 % h = 0.001 y1[1] (analytic) = 0.32129344075029546967806946419994 y1[1] (numeric) = 0.32995923496591390272501615158154 absolute error = 0.0086657942156184330469466873816 relative error = 2.6971587703072222648887170948579 % h = 0.001 TOP MAIN SOLVE Loop memory used=3597.3MB, alloc=4.4MB, time=361.74 NO POLE NO POLE x[1] = 0.747 y2[1] (analytic) = 1.733730489489077366022853874859 y2[1] (numeric) = 1.6788881965061319956057220908516 absolute error = 0.0548422929829453704171317840074 relative error = 3.1632536495973575041085426911559 % h = 0.001 y1[1] (analytic) = 0.32055937066280844254197222427846 y1[1] (numeric) = 0.32927987689052902251470886761231 absolute error = 0.00872050622772057997273664333385 relative error = 2.7204028413487087490612760121432 % h = 0.001 TOP MAIN SOLVE Loop memory used=3601.1MB, alloc=4.4MB, time=362.01 NO POLE NO POLE x[1] = 0.748 y2[1] (analytic) = 1.7330506821077661012569492936833 y2[1] (numeric) = 1.6779471265113827612881153031592 absolute error = 0.0551035555963833399688339905241 relative error = 3.1795697705369727664076338964649 % h = 0.001 y1[1] (analytic) = 0.31982598001589413254687501146943 y1[1] (numeric) = 0.32860145909777208666122222371649 absolute error = 0.00877547908187795411434721224706 relative error = 2.7438293416444299621707400228729 % h = 0.001 TOP MAIN SOLVE Loop memory used=3604.9MB, alloc=4.4MB, time=362.28 memory used=3608.7MB, alloc=4.4MB, time=362.56 NO POLE NO POLE x[1] = 0.749 y2[1] (analytic) = 1.7323701416758338162797495175416 y2[1] (numeric) = 1.6770044811719215928744895429209 absolute error = 0.0553656605039122234052599746207 relative error = 3.1959486700892590333472985958174 % h = 0.001 y1[1] (analytic) = 0.3190932695429431254912026152071 y1[1] (numeric) = 0.3279239831626211684563644479726 absolute error = 0.0088307136196780429651618327655 relative error = 2.7674396367954786614637349783844 % h = 0.001 TOP MAIN SOLVE Loop memory used=3612.5MB, alloc=4.4MB, time=362.82 NO POLE NO POLE x[1] = 0.75 y2[1] (analytic) = 1.7316888688738208863118387530001 y2[1] (numeric) = 1.6760602597550380784731484446281 absolute error = 0.055628609118782807838690308372 relative error = 3.2123905234177591592142595707838 % h = 0.001 y1[1] (analytic) = 0.31836123997666583326675804722011 y1[1] (numeric) = 0.32724745066078739175187632341714 absolute error = 0.00888621068412155848511827619703 relative error = 2.7912351028576437062300223161593 % h = 0.001 TOP MAIN SOLVE Loop memory used=3616.3MB, alloc=4.4MB, time=363.10 memory used=3620.2MB, alloc=4.4MB, time=363.37 NO POLE NO POLE x[1] = 0.751 y2[1] (analytic) = 1.7310068643830000565934153593164 y2[1] (numeric) = 1.6751144615287027128093683679735 absolute error = 0.0558924028542973437840469913429 relative error = 3.2288955060972347576059257577479 % h = 0.001 y1[1] (analytic) = 0.31762989204909176114837170892742 y1[1] (numeric) = 0.32657186316871425041911267904144 absolute error = 0.00894197111962248927074097011402 relative error = 2.8152171264285319856566338521166 % h = 0.001 TOP MAIN SOLVE Loop memory used=3624.0MB, alloc=4.4MB, time=363.65 NO POLE NO POLE x[1] = 0.752 y2[1] (analytic) = 1.7303241288853757611116033809685 y2[1] (numeric) = 1.6741670857615676292548426701182 absolute error = 0.0561570431238081318567607108503 relative error = 3.2454637941148551150536110329848 % h = 0.001 y1[1] (analytic) = 0.3168992264915687757644571190647 y1[1] (numeric) = 0.32589722226357692707635392220531 absolute error = 0.00899799577200815131189680314061 relative error = 2.839387104735500642066774497054 % h = 0.001 TOP MAIN SOLVE Loop memory used=3627.8MB, alloc=4.4MB, time=363.92 memory used=3631.6MB, alloc=4.4MB, time=364.20 NO POLE NO POLE x[1] = 0.753 y2[1] (analytic) = 1.729640663063683440596075394231 y2[1] (numeric) = 1.6732181317229673311754873883448 absolute error = 0.0564225313407161094205880058862 relative error = 3.2620955638713897841555751342383 % h = 0.001 y1[1] (analytic) = 0.31616924403476237374920523092425 y1[1] (numeric) = 0.32522352952328161108442888509916 absolute error = 0.00905428548851923733522365417491 relative error = 2.8637464457244079985627427893123 % h = 0.001 TOP MAIN SOLVE Loop memory used=3635.4MB, alloc=4.4MB, time=364.47 NO POLE NO POLE x[1] = 0.754 y2[1] (analytic) = 1.7289564676013888597836686721214 y2[1] (numeric) = 1.6722675986829194225968769853519 absolute error = 0.0566888689184694371867916867695 relative error = 3.2787909921824048693191466628795 % h = 0.001 y1[1] (analytic) = 0.31543994540865495107714868695348 y1[1] (numeric) = 0.32455078652646481581133098957496 absolute error = 0.00911084111780986473418230262148 relative error = 2.8882965681491916969010563351333 % h = 0.001 TOP MAIN SOLVE Loop memory used=3639.2MB, alloc=4.4MB, time=364.74 memory used=3643.0MB, alloc=4.4MB, time=365.02 NO POLE NO POLE x[1] = 0.755 y2[1] (analytic) = 1.7282715431826874239526774030409 y2[1] (numeric) = 1.6713154859121253381865794918154 absolute error = 0.0569560572705620857660979112255 relative error = 3.2955502562794630182622350775909 % h = 0.001 y1[1] (analytic) = 0.31471133134254507308082667608652 y1[1] (numeric) = 0.32387899485249269516651046567287 absolute error = 0.00916766350994762208568378958635 relative error = 2.9130389016622826494645064921271 % h = 0.001 TOP MAIN SOLVE Loop memory used=3646.9MB, alloc=4.4MB, time=365.29 NO POLE NO POLE x[1] = 0.756 y2[1] (analytic) = 1.7275858904925034947275044287623 y2[1] (numeric) = 1.6703617926819710725526610639421 absolute error = 0.0572240978105324221748433648202 relative error = 3.3123735338113271324758066395969 % h = 0.001 y1[1] (analytic) = 0.31398340256504674515228037608347 y1[1] (numeric) = 0.32320815608146035940552608949449 absolute error = 0.00922475351641361425324571341102 relative error = 2.9379748869058635084770312907208 % h = 0.001 TOP MAIN SOLVE Loop memory used=3650.7MB, alloc=4.4MB, time=365.56 memory used=3654.5MB, alloc=4.4MB, time=365.84 NO POLE NO POLE x[1] = 0.757 y2[1] (analytic) = 1.7268995102164897051543566970552 y2[1] (numeric) = 1.6694065182645279088576306575718 absolute error = 0.0574929919519617962967260394834 relative error = 3.3292610028451678099003894421542 % h = 0.001 y1[1] (analytic) = 0.31325615980408868412910827932099 y1[1] (numeric) = 0.32253827179419119020574063571392 absolute error = 0.00928211199010250607663235639293 relative error = 2.9631059756039804561503717320027 % h = 0.001 TOP MAIN SOLVE Loop memory used=3658.3MB, alloc=4.4MB, time=366.11 NO POLE NO POLE x[1] = 0.758 y2[1] (analytic) = 1.7262124030410262740486693531968 y2[1] (numeric) = 1.6684496619325531467470962049438 absolute error = 0.057762741108473127301573148253 relative error = 3.3462128418677745331213860018021 % h = 0.001 y1[1] (analytic) = 0.31252960378691359036581001591817 y1[1] (numeric) = 0.3218693435722361550137449689741 absolute error = 0.00933973978532256464793495305593 relative error = 2.9884336306555172212740091750379 % h = 0.001 TOP MAIN SOLVE Loop memory used=3662.1MB, alloc=4.4MB, time=366.38 NO POLE NO POLE x[1] = 0.759 y2[1] (analytic) = 1.725524569653220319614944122886 y2[1] (numeric) = 1.6674912229594908295924043655327 absolute error = 0.0580333466937294900225397573533 relative error = 3.3632292297867706164399094583414 % h = 0.001 y1[1] (analytic) = 0.31180373524007742049114660279324 y1[1] (numeric) = 0.32120137299787312066519642668718 absolute error = 0.00939763775779570017404982389394 relative error = 3.0139593262280403308796806140457 % h = 0.001 TOP MAIN SOLVE Loop memory used=3665.9MB, alloc=4.4MB, time=366.65 memory used=3669.7MB, alloc=4.4MB, time=366.92 NO POLE NO POLE x[1] = 0.76 y2[1] (analytic) = 1.724836010740905172339688366667 y2[1] (numeric) = 1.6665312006194724710465366083742 absolute error = 0.0583048101214327012931517582928 relative error = 3.3803103459318319252280222838151 % h = 0.001 y1[1] (analytic) = 0.31107855488944866085224436123027 y1[1] (numeric) = 0.32053436165410616627775787334342 absolute error = 0.00945580676465750542551351211315 relative error = 3.039684547852524710046913791816 % h = 0.001 TOP MAIN SOLVE Loop memory used=3673.6MB, alloc=4.4MB, time=367.20 NO POLE NO POLE x[1] = 0.761 y2[1] (analytic) = 1.7241467269926396871581419128634 y2[1] (numeric) = 1.665569594187317780912535070045 absolute error = 0.0585771328053219062456068428184 relative error = 3.3974563700559093810296456011272 % h = 0.001 y1[1] (analytic) = 0.31035406346020760164616905879138 y1[1] (numeric) = 0.3198683111246648954178245333322 absolute error = 0.00951424766445729377165547454082 relative error = 3.0656107925189688486848687165804 % h = 0.001 TOP MAIN SOLVE Loop memory used=3677.4MB, alloc=4.4MB, time=367.46 memory used=3681.2MB, alloc=4.4MB, time=367.74 NO POLE NO POLE x[1] = 0.762 y2[1] (analytic) = 1.7234567190977075548954795022417 y2[1] (numeric) = 1.6646064029385353903237323199316 absolute error = 0.0588503161591721645717471823101 relative error = 3.4146674823364552659210238307951 % h = 0.001 y1[1] (analytic) = 0.30963026167684561173969614393974 y1[1] (numeric) = 0.31920322299400374754172643549104 absolute error = 0.0095729613171581358020302915513 relative error = 3.0917395687729088612469480158619 % h = 0.001 TOP MAIN SOLVE Loop memory used=3685.0MB, alloc=4.4MB, time=368.01 NO POLE NO POLE x[1] = 0.763 y2[1] (analytic) = 1.7227659877461166129831774031417 y2[1] (numeric) = 1.6636416261493235762350598526195 absolute error = 0.0591243615967930367481175505222 relative error = 3.4319438633766533396974744934895 % h = 0.001 y1[1] (analytic) = 0.30890715026316441417800225354293 y1[1] (numeric) = 0.31853909884730130871209502812284 absolute error = 0.00963194858413689453409277457991 relative error = 3.1180723968128408738270603591156 % h = 0.001 TOP MAIN SOLVE Loop memory used=3688.8MB, alloc=4.4MB, time=368.28 memory used=3692.6MB, alloc=4.4MB, time=368.56 NO POLE NO POLE x[1] = 0.764 y2[1] (analytic) = 1.722074533628598155451233480652 y2[1] (numeric) = 1.662675263096570985224710816153 absolute error = 0.059399270532027170226522664499 relative error = 3.4492856942066527835062276784174 % h = 0.001 y1[1] (analytic) = 0.30818472994227536238300248450447 y1[1] (numeric) = 0.31787594027045962159008324805725 absolute error = 0.00969121032818425920708076355278 relative error = 3.1446108085885612829692911579013 % h = 0.001 TOP MAIN SOLVE Loop memory used=3696.4MB, alloc=4.4MB, time=368.83 NO POLE NO POLE x[1] = 0.765 y2[1] (analytic) = 1.7213823574366062421969307275509 y2[1] (numeric) = 1.6617073130578573566054331745648 absolute error = 0.0596750443787488855914975529861 relative error = 3.4666931562848059835984650276912 % h = 0.001 y1[1] (analytic) = 0.30746300143659871704205723112624 y1[1] (numeric) = 0.31721374885010349470412905147853 absolute error = 0.00975074741350477766207182035229 relative error = 3.1713563479004345418155474376006 % h = 0.001 TOP MAIN SOLVE Loop memory used=3700.3MB, alloc=4.4MB, time=369.10 memory used=3704.1MB, alloc=4.4MB, time=369.38 NO POLE NO POLE x[1] = 0.766 y2[1] (analytic) = 1.7206894598623170075308349881932 y2[1] (numeric) = 1.6607377753114542448447301934418 absolute error = 0.0599516845508627626861047947514 relative error = 3.4841664314989101689272051779222 % h = 0.001 y1[1] (analytic) = 0.30674196546786292368777169943441 y1[1] (numeric) = 0.31655252617357981099595313769897 absolute error = 0.00981056070571688730818143826456 relative error = 3.1983105704995982419382907919545 % h = 0.001 TOP MAIN SOLVE Loop memory used=3707.9MB, alloc=4.4MB, time=369.65 NO POLE NO POLE x[1] = 0.767 y2[1] (analytic) = 1.7199958415986279680007183292872 y2[1] (numeric) = 1.6597666491363257412932458283863 absolute error = 0.0602291924623022267074725009009 relative error = 3.5017057021674529163714525384517 % h = 0.001 y1[1] (analytic) = 0.30602162275710389096961051860939 y1[1] (numeric) = 0.31589227382895683564448231982237 absolute error = 0.00987065107185294467487180121298 relative error = 3.2254750441891153733778472885062 % h = 0.001 TOP MAIN SOLVE Loop memory used=3711.7MB, alloc=4.4MB, time=369.92 memory used=3715.5MB, alloc=4.4MB, time=370.19 NO POLE NO POLE x[1] = 0.768 y2[1] (analytic) = 1.7193015033391573294941002335805 y2[1] (numeric) = 1.6587939338121291952206132880488 absolute error = 0.0605075695270281342734869455317 relative error = 3.5193111510408615374210301743148 % h = 0.001 y1[1] (analytic) = 0.30530197402466426961804917784491 y1[1] (numeric) = 0.31523299340502352316839071831661 absolute error = 0.0099310193803592535503415404717 relative error = 3.2528513489260837610463866647503 % h = 0.001 TOP MAIN SOLVE Loop memory used=3719.3MB, alloc=4.4MB, time=370.46 NO POLE NO POLE x[1] = 0.769 y2[1] (analytic) = 1.7186064457782432936200995138551 y2[1] (numeric) = 1.6578196286192159341580457359423 absolute error = 0.0607868171590273594620537779128 relative error = 3.5369829613027563602107565101766 % h = 0.001 y1[1] (analytic) = 0.30458301999019273210198332442474 y1[1] (numeric) = 0.31457468649128882380795167489637 absolute error = 0.00999166650109609170596835047163 relative error = 3.2804410769247127927942077491408 % h = 0.001 TOP MAIN SOLVE Loop memory used=3723.2MB, alloc=4.4MB, time=370.73 NO POLE NO POLE memory used=3727.0MB, alloc=4.4MB, time=371.00 x[1] = 0.77 y2[1] (analytic) = 1.7179106696109433633712905653243 y2[1] (numeric) = 1.6568437328386319835469487885084 absolute error = 0.0610669367723113798243417768159 relative error = 3.5547213165712079208471006930194 % h = 0.001 y1[1] (analytic) = 0.30386476137264325298011626554779 y1[1] (numeric) = 0.31391735467798098918689400480624 absolute error = 0.01005259330533773620677773925845 relative error = 3.3082458327603776730794825592867 % h = 0.001 TOP MAIN SOLVE Loop memory used=3730.8MB, alloc=4.4MB, time=371.27 NO POLE NO POLE x[1] = 0.771 y2[1] (analytic) = 1.7172141755330336480662582945144 y2[1] (numeric) = 1.6558662457521187856928351608825 absolute error = 0.0613479297809148623734231336319 relative error = 3.5725264008999980780251638663744 % h = 0.001 y1[1] (analytic) = 0.30314719889027438994704432245398 y1[1] (numeric) = 0.31326099955604687725495692559015 absolute error = 0.01011380066577248730791260313617 relative error = 3.3362672334746615563614502150011 % h = 0.001 TOP MAIN SOLVE Loop memory used=3734.6MB, alloc=4.4MB, time=371.54 NO POLE NO POLE x[1] = 0.772 y2[1] (analytic) = 1.7165169642410081675735467820204 y2[1] (numeric) = 1.6548871666421139180238225065035 absolute error = 0.0616297975988942495497242755169 relative error = 3.5903983987798850649887844440289 % h = 0.001 y1[1] (analytic) = 0.30243033326064856557475899070575 y1[1] (numeric) = 0.31260562271715125651183871973428 absolute error = 0.01017528945650269093707972902853 relative error = 3.3645069086813960360708936851192 % h = 0.001 TOP MAIN SOLVE Loop memory used=3738.4MB, alloc=4.4MB, time=371.81 memory used=3742.2MB, alloc=4.4MB, time=372.09 NO POLE NO POLE x[1] = 0.773 y2[1] (analytic) = 1.7158190364320781558176974551284 y2[1] (numeric) = 1.6539064947917518106529961921293 absolute error = 0.0619125416403263451647012629991 relative error = 3.6083374951398724929417558572909 % h = 0.001 y1[1] (analytic) = 0.30171416520063134975028416506311 y1[1] (numeric) = 0.31195122575367610951323490717674 absolute error = 0.01023706055304475976295074211363 relative error = 3.3929665006737105883225907180963 % h = 0.001 TOP MAIN SOLVE Loop memory used=3746.0MB, alloc=4.4MB, time=372.36 NO POLE NO POLE x[1] = 0.774 y2[1] (analytic) = 1.7151203928041713635680732642085 y2[1] (numeric) = 1.6529242294848644632439194459561 absolute error = 0.0621961633193069003241538182524 relative error = 3.6263438753484823200735763250801 % h = 0.001 y1[1] (analytic) = 0.30099869542639074281016599125526 y1[1] (numeric) = 0.31129781025871993565966242158788 absolute error = 0.01029911483232919284949643033262 relative error = 3.4216476645321016944446571008768 % h = 0.001 TOP MAIN SOLVE Loop memory used=3749.9MB, alloc=4.4MB, time=372.63 memory used=3753.7MB, alloc=4.4MB, time=372.90 NO POLE NO POLE x[1] = 0.775 y2[1] (analytic) = 1.7144210340559313605111660739955 y2[1] (numeric) = 1.6519403700059821611785740133903 absolute error = 0.0624806640499491993325920606052 relative error = 3.6444177252150318004188231039176 % h = 0.001 y1[1] (analytic) = 0.30028392465339645937253221009913 y1[1] (numeric) = 0.31064537782609705326876700153891 absolute error = 0.01036145317270059389623479143978 relative error = 3.4505520682335324929319920569362 % h = 0.001 TOP MAIN SOLVE Loop memory used=3757.5MB, alloc=4.4MB, time=373.17 NO POLE NO POLE x[1] = 0.776 y2[1] (analytic) = 1.7137209608867168366070851973929 y2[1] (numeric) = 1.6509549156403341910270151525927 absolute error = 0.0627660452463826455800700448002 relative error = 3.6625592309909144268251595644892 % h = 0.001 y1[1] (analytic) = 0.29956985359641921286743716184588 y1[1] (numeric) = 0.30999393005033690093181172419328 absolute error = 0.0104240764539176880643745623474 relative error = 3.4796813927615739396084386713438 % h = 0.001 TOP MAIN SOLVE Loop memory used=3761.3MB, alloc=4.4MB, time=373.44 memory used=3765.1MB, alloc=4.4MB, time=373.72 NO POLE NO POLE x[1] = 0.777 y2[1] (analytic) = 1.7130201739966009027309257152522 y2[1] (numeric) = 1.6499678656738495553180255001991 absolute error = 0.0630523083227513474129002150531 relative error = 3.6807685793708848823611434682481 % h = 0.001 y1[1] (analytic) = 0.29885648296953000076620792035069 y1[1] (numeric) = 0.30934346852668333815504532497411 absolute error = 0.01048698555715333738883740462342 relative error = 3.5090373322175985846281892250744 % h = 0.001 TOP MAIN SOLVE Loop memory used=3768.9MB, alloc=4.4MB, time=374.00 NO POLE NO POLE x[1] = 0.778 y2[1] (analytic) = 1.7123186740863703905997159407019 y2[1] (numeric) = 1.648979219393157686610053036623 absolute error = 0.0633394546932127039896629040789 relative error = 3.699045957494348014551410143051 % h = 0.001 y1[1] (analytic) = 0.29814381348609939051050632766018 y1[1] (numeric) = 0.30869399485109394528664966178099 absolute error = 0.01055018136499455477614333412081 relative error = 3.5386215939330382064851606501863 % h = 0.001 TOP MAIN SOLVE Loop memory used=3772.7MB, alloc=4.4MB, time=374.27 memory used=3776.6MB, alloc=4.4MB, time=374.55 NO POLE NO POLE x[1] = 0.779 y2[1] (analytic) = 1.71161646185752515198564410102 y2[1] (numeric) = 1.6479889760855891608617190800625 absolute error = 0.0636274857719359911239250209575 relative error = 3.7173915529466518468834560480798 % h = 0.001 y1[1] (analytic) = 0.29743184585879680614182099989582 y1[1] (numeric) = 0.30804551062023932272996639675041 absolute error = 0.01061366476144251658814539685459 relative error = 3.568435898582716676453671360296 % h = 0.001 TOP MAIN SOLVE Loop memory used=3780.4MB, alloc=4.4MB, time=374.82 NO POLE NO POLE x[1] = 0.78 y2[1] (analytic) = 1.7109135380122773572162650237646 y2[1] (numeric) = 1.6469971350391764101011829387623 absolute error = 0.0639164029731009471150820850023 relative error = 3.7358055537603846420871476491046 % h = 0.001 y1[1] (analytic) = 0.29672058079958981563210267488208 y1[1] (numeric) = 0.30739801743150238944370368227475 absolute error = 0.01067743663191257381160100739267 relative error = 3.5984819802992695618792739633587 % h = 0.001 TOP MAIN SOLVE Loop memory used=3784.2MB, alloc=4.4MB, time=375.09 NO POLE NO POLE memory used=3788.0MB, alloc=4.4MB, time=375.36 x[1] = 0.781 y2[1] (analytic) = 1.710209903253550792962388326898 y2[1] (numeric) = 1.6460036955426544343936505522255 absolute error = 0.0642062077108963585687377746725 relative error = 3.7542881484166760317452287747312 % h = 0.001 y1[1] (analytic) = 0.2960100190197434189162555708243 y1[1] (numeric) = 0.30675151688297768072982435101461 absolute error = 0.01074149786323426181356878019031 relative error = 3.6287615867886621134999257108763 % h = 0.001 TOP MAIN SOLVE Loop memory used=3791.8MB, alloc=4.4MB, time=375.63 NO POLE NO POLE x[1] = 0.782 y2[1] (analytic) = 1.7095055582849801593143503249576 y2[1] (numeric) = 1.6450086568854615131063151539266 absolute error = 0.064496901399518646208035171031 relative error = 3.77283952584650222685049787825 % h = 0.001 y1[1] (analytic) = 0.29530016122981933662719672348589 y1[1] (numeric) = 0.30610601057347064530981782195786 absolute error = 0.01080584934365130868262109847197 relative error = 3.6592764794468174205300836326314 % h = 0.001 TOP MAIN SOLVE Loop memory used=3795.6MB, alloc=4.4MB, time=375.90 NO POLE NO POLE x[1] = 0.783 y2[1] (analytic) = 1.7088005038109103661473725749424 y2[1] (numeric) = 1.6440120183577399154700186906434 absolute error = 0.064788485453170450677353884299 relative error = 3.791459875431995323982976080026 % h = 0.001 y1[1] (analytic) = 0.29459100813967529953419456674599 y1[1] (numeric) = 0.30546150010249694169005864619486 absolute error = 0.01087049196282164215586407944887 relative error = 3.6900284334773666576094610700098 % h = 0.001 TOP MAIN SOLVE Loop memory used=3799.4MB, alloc=4.4MB, time=376.17 memory used=3803.3MB, alloc=4.4MB, time=376.45 NO POLE NO POLE x[1] = 0.784 y2[1] (analytic) = 1.7080947405363958287767106964985 y2[1] (numeric) = 1.6430137792503366104369234368059 absolute error = 0.0650809612860592183397872596926 relative error = 3.810149387007756721838288709841 % h = 0.001 y1[1] (analytic) = 0.29388256045846433868519731813999 y1[1] (numeric) = 0.30481798707028173381695532699271 absolute error = 0.01093542661181739513175800885272 relative error = 3.7210192380105334899301435551406 % h = 0.001 TOP MAIN SOLVE Loop memory used=3807.1MB, alloc=4.4MB, time=376.73 NO POLE NO POLE x[1] = 0.785 y2[1] (analytic) = 1.7073882691671997629032978111966 y2[1] (numeric) = 1.6420139388548039758334839462504 absolute error = 0.0653743303123957870698138649462 relative error = 3.828908250862174662896638511404 % h = 0.001 y1[1] (analytic) = 0.29317481889463407625386102699527 y1[1] (numeric) = 0.30417547307775898602259375896099 absolute error = 0.01100065418312490976873273196572 relative error = 3.7522506962231648469370081050068 % h = 0.001 TOP MAIN SOLVE Loop memory used=3810.9MB, alloc=4.4MB, time=376.99 memory used=3814.7MB, alloc=4.4MB, time=377.27 NO POLE NO POLE x[1] = 0.786 y2[1] (analytic) = 1.706681090409793478850587655198 y2[1] (numeric) = 1.641012496463400506808010188465 absolute error = 0.065668593946392972042577466733 relative error = 3.8477366577387459150801589228809 % h = 0.001 y1[1] (analytic) = 0.292467784155926017091986438075 y1[1] (numeric) = 0.30353395972657075726158034060681 absolute error = 0.01106617557064474016959390253181 relative error = 3.7837246254599204209738078975867 % h = 0.001 TOP MAIN SOLVE Loop memory used=3818.5MB, alloc=4.4MB, time=377.54 NO POLE NO POLE x[1] = 0.787 y2[1] (analytic) = 1.7059732049713556750933031284076 y2[1] (numeric) = 1.6400094513690915235721134218226 absolute error = 0.065963753602264151521189706585 relative error = 3.8666347988374016083051021244983 % h = 0.001 y1[1] (analytic) = 0.29176145694937484098807311823418 y1[1] (numeric) = 0.30289344861906649463979052337724 absolute error = 0.01113199166969165365171740514306 relative error = 3.8154428573556333951481813114369 % h = 0.001 TOP MAIN SOLVE Loop memory used=3822.3MB, alloc=4.4MB, time=377.81 memory used=3826.1MB, alloc=4.4MB, time=378.10 NO POLE NO POLE x[1] = 0.788 y2[1] (analytic) = 1.7052646135597717310787967513083 y2[1] (numeric) = 1.6390048028655498784353270624154 absolute error = 0.0662598106942218526434696888929 relative error = 3.8856028658158372408942400700834 % h = 0.001 y1[1] (analytic) = 0.29105583798130769563269858747478 y1[1] (numeric) = 0.30225394135830232623572926838169 absolute error = 0.01119810337699463060303068090691 relative error = 3.8474072379588550545409553404129 % h = 0.001 TOP MAIN SOLVE Loop memory used=3830.0MB, alloc=4.4MB, time=378.40 NO POLE NO POLE x[1] = 0.789 y2[1] (analytic) = 1.7045553168836329993417302080539 y2[1] (numeric) = 1.6379985502471566621321955139274 absolute error = 0.0665567666364763372095346941265 relative error = 3.904641050790846870874038723028 % h = 0.001 y1[1] (analytic) = 0.29035092795734349029142948896187 y1[1] (numeric) = 0.30161543954804035321521058937487 absolute error = 0.011264511590696862923781100413 relative error = 3.8796196278565960867166081360908 % h = 0.001 TOP MAIN SOLVE Loop memory used=3833.8MB, alloc=4.4MB, time=378.70 memory used=3837.6MB, alloc=4.4MB, time=378.99 NO POLE NO POLE x[1] = 0.79 y2[1] (analytic) = 1.703845315652236096912780861085 y2[1] (numeric) = 1.6369906928090019094411246315164 absolute error = 0.0668546228432341874716562295686 relative error = 3.923749546339661507240607434969 % h = 0.001 y1[1] (analytic) = 0.2896467275823921901859711250308 y1[1] (numeric) = 0.30097794479274794124006406726178 absolute error = 0.01133121721035575105409294223098 relative error = 3.9120819023002775313312457400383 % h = 0.001 TOP MAIN SOLVE Loop memory used=3841.4MB, alloc=4.4MB, time=379.26 NO POLE NO POLE x[1] = 0.791 y2[1] (analytic) = 1.7031346105755821960220838285014 y2[1] (numeric) = 1.6359812298468853040942882009129 absolute error = 0.0671533807286968919277956275885 relative error = 3.942928545501291716338128079102 % h = 0.001 y1[1] (analytic) = 0.28894323756065411158426097797705 y1[1] (numeric) = 0.30034145869759701117157692735919 absolute error = 0.01139822113694289958731594938214 relative error = 3.9447959513329044945109954705407 % h = 0.001 TOP MAIN SOLVE Loop memory used=3845.2MB, alloc=4.4MB, time=379.53 NO POLE NO POLE memory used=3849.0MB, alloc=4.4MB, time=379.80 x[1] = 0.792 y2[1] (analytic) = 1.7024232023643763140981189206891 y2[1] (numeric) = 1.6349701606573168829778855228886 absolute error = 0.0674530417070594311202333978005 relative error = 3.9621782417778744585534334284916 % h = 0.001 y1[1] (analytic) = 0.28824045859561921760021112547646 y1[1] (numeric) = 0.29970598286846332906938097591235 absolute error = 0.01146552427284411146916985043589 relative error = 3.9777636799174759016168417524821 % h = 0.001 TOP MAIN SOLVE Loop memory used=3852.9MB, alloc=4.4MB, time=380.08 NO POLE NO POLE x[1] = 0.793 y2[1] (analytic) = 1.7017110917300266030627524372568 y2[1] (numeric) = 1.6339574845375177396220459028957 absolute error = 0.0677536071925088634407065343611 relative error = 3.9814988291360241705906326084258 % h = 0.001 y1[1] (analytic) = 0.2875383913900664147038037508348 y1[1] (numeric) = 0.29907151891192579548649439692098 absolute error = 0.01153312752185938078269064608618 relative error = 4.0109870080666437220516133378334 % h = 0.001 TOP MAIN SOLVE Loop memory used=3856.7MB, alloc=4.4MB, time=380.35 NO POLE NO POLE x[1] = 0.794 y2[1] (analytic) = 1.7009982793846436379231445291801 y2[1] (numeric) = 1.6329432007854207269796765560302 absolute error = 0.0680550785992229109434679731499 relative error = 4.0008905020081881086501745122113 % h = 0.001 y1[1] (analytic) = 0.28683703664606284994224323791253 y1[1] (numeric) = 0.29843806843526573406122911417332 absolute error = 0.01160103178920288411898587626079 relative error = 4.0444678709736352619315307751585 % h = 0.001 TOP MAIN SOLVE Loop memory used=3860.5MB, alloc=4.4MB, time=380.62 memory used=3864.3MB, alloc=4.4MB, time=380.89 NO POLE NO POLE x[1] = 0.795 y2[1] (analytic) = 1.7002847660410397046612335341874 y2[1] (numeric) = 1.6319273086996711594935511485314 absolute error = 0.068357457341368545167682385656 relative error = 4.0203534552940059678974991203189 % h = 0.001 y1[1] (analytic) = 0.28613639506496320887286762951401 y1[1] (numeric) = 0.29780563304646617940667512652175 absolute error = 0.01166923798150297053380749700774 relative error = 4.0782082191444522847693776390916 % h = 0.001 TOP MAIN SOLVE Loop memory used=3868.1MB, alloc=4.4MB, time=381.16 NO POLE NO POLE x[1] = 0.796 y2[1] (analytic) = 1.6995705524127280874215093958435 y2[1] (numeric) = 1.6309098075796275144509369087864 absolute error = 0.0686607448331005729705724870571 relative error = 4.0398878843616737936674529786268 % h = 0.001 y1[1] (analytic) = 0.28543646734740901420852151627135 y1[1] (numeric) = 0.29717421435421116429847392685627 absolute error = 0.01173774700680215008995241058492 relative error = 4.1122100185313608868303956986326 % h = 0.001 TOP MAIN SOLVE Loop memory used=3871.9MB, alloc=4.4MB, time=381.44 memory used=3875.7MB, alloc=4.4MB, time=381.71 NO POLE NO POLE x[1] = 0.797 y2[1] (analytic) = 1.6988556392139223549977889784976 y2[1] (numeric) = 1.629890696725362132625058953271 absolute error = 0.0689649424885602223727300252266 relative error = 4.05949398504931219991193995396 % h = 0.001 y1[1] (analytic) = 0.28473725419332792517609171059139 y1[1] (numeric) = 0.29654381396788500616159381694291 absolute error = 0.01180655977455708098550210635152 relative error = 4.1464752506676862225573478115335 % h = 0.001 TOP MAIN SOLVE Loop memory used=3879.6MB, alloc=4.4MB, time=381.98 NO POLE NO POLE x[1] = 0.798 y2[1] (analytic) = 1.6981400271595356466197067912625 y2[1] (numeric) = 1.6288699754376619182027011860219 absolute error = 0.0692700517218737284170056052406 relative error = 4.0791719536663389104598430828404 % h = 0.001 y1[1] (analytic) = 0.28403875630193303758890634707191 y1[1] (numeric) = 0.2959144334975715928568206312925 absolute error = 0.01187567719563855526791428422059 relative error = 4.1810059128039263464502739744274 % h = 0.001 TOP MAIN SOLVE Loop memory used=3883.4MB, alloc=4.4MB, time=382.25 memory used=3887.2MB, alloc=4.4MB, time=382.53 NO POLE NO POLE x[1] = 0.799 y2[1] (analytic) = 1.6974237169651799570396353344726 y2[1] (numeric) = 1.6278476430180290379972438440964 absolute error = 0.0695760739471509190423914903762 relative error = 4.0989219869948456387200891570946 % h = 0.001 y1[1] (analytic) = 0.28334097437172218463369733692953 y1[1] (numeric) = 0.29528607455405366776767808350934 absolute error = 0.01194510018233148313398074657981 relative error = 4.2158040180451996110622315732879 % h = 0.001 TOP MAIN SOLVE Loop memory used=3891.0MB, alloc=4.4MB, time=382.81 NO POLE NO POLE x[1] = 0.8 y2[1] (analytic) = 1.6967067093471654209207499816423 y2[1] (numeric) = 1.6268236987686816199464384760417 absolute error = 0.0698830105784838009743115056006 relative error = 4.1187442822909793215208359498413 % h = 0.001 y1[1] (analytic) = 0.28264390910047723837282538941861 y1[1] (numeric) = 0.29465873874881211418849264814001 absolute error = 0.0120148296483348758156672587214 relative error = 4.2508715954900402363682300853112 % h = 0.001 TOP MAIN SOLVE Loop memory used=3894.8MB, alloc=4.4MB, time=383.08 memory used=3898.6MB, alloc=4.4MB, time=383.35 NO POLE NO POLE x[1] = 0.801 y2[1] (analytic) = 1.6959890050224995965269540088002 y2[1] (numeric) = 1.6257981419925544508942218556558 absolute error = 0.0701908630299451456327321531444 relative error = 4.1386390372863277228401439858848 % h = 0.001 y1[1] (analytic) = 0.28194756118526341196246609795798 y1[1] (numeric) = 0.29403242769402523901431858989771 absolute error = 0.01208486650876182705185249193973 relative error = 4.2862106903705568437146455789 % h = 0.001 TOP MAIN SOLVE Loop memory used=3902.4MB, alloc=4.4MB, time=383.63 NO POLE NO POLE x[1] = 0.802 y2[1] (analytic) = 1.6952706047088867487153800812132 y2[1] (numeric) = 1.6247709719932996736558710492848 absolute error = 0.0704996327155870750595090319284 relative error = 4.1586064501893094232461518169279 % h = 0.001 y1[1] (analytic) = 0.28125193132242856258745487272111 y1[1] (numeric) = 0.29340714300256805573343945027746 absolute error = 0.01215521168013949314598457755635 relative error = 4.3218233641939689278951754852321 % h = 0.001 TOP MAIN SOLVE Loop memory used=3906.3MB, alloc=4.4MB, time=383.93 memory used=3910.1MB, alloc=4.4MB, time=384.21 NO POLE NO POLE x[1] = 0.803 y2[1] (analytic) = 1.6945515091247271312321852049411 y2[1] (numeric) = 1.6237421880752874833658025715597 absolute error = 0.0708093210494396478663826333814 relative error = 4.1786467196865682109277071972253 % h = 0.001 y1[1] (analytic) = 0.28055702020760249511348778478693 y1[1] (numeric) = 0.2927828862880115667231629990009 absolute error = 0.01222586608040907160967521421397 relative error = 4.3577116948855364236619645925764 % h = 0.001 TOP MAIN SOLVE Loop memory used=3913.9MB, alloc=4.4MB, time=384.48 NO POLE NO POLE x[1] = 0.804 y2[1] (analytic) = 1.6938317189891162683123568473649 y2[1] (numeric) = 1.6227117895436068231073192818317 absolute error = 0.0711199294455094452050375655332 relative error = 4.1987600449443718902596176978319 % h = 0.001 y1[1] (analytic) = 0.27986282853569626645737466959218 y1[1] (numeric) = 0.29215965916462204484962735443594 absolute error = 0.01229683062892577839225268484376 relative error = 4.3938777769328977082025550498576 % h = 0.001 TOP MAIN SOLVE Loop memory used=3917.7MB, alloc=4.4MB, time=384.76 NO POLE NO POLE x[1] = 0.805 y2[1] (analytic) = 1.6931112350218442355842486268248 y2[1] (numeric) = 1.621679775704066078823609391616 absolute error = 0.0714314593177781567606392352088 relative error = 4.2189466256100155239101744846447 % h = 0.001 y1[1] (analytic) = 0.27916935700090149067604011937443 y1[1] (numeric) = 0.29153746324736031437233667312525 absolute error = 0.01236810624645882369629655375082 relative error = 4.4303237215318315688310127342138 % h = 0.001 TOP MAIN SOLVE Loop memory used=3921.5MB, alloc=4.4MB, time=385.03 memory used=3925.3MB, alloc=4.4MB, time=385.31 NO POLE NO POLE x[1] = 0.806 y2[1] (analytic) = 1.6923900579433949402795646667706 y2[1] (numeric) = 1.6206461458631937735093026721049 absolute error = 0.0717439120802011667702619946657 relative error = 4.2392066618132291245623735590262 % h = 0.001 y1[1] (analytic) = 0.27847660629668964477496727554668 y1[1] (numeric) = 0.290916300151881031154145503828 absolute error = 0.01243969385519138637917822828132 relative error = 4.4670516567334588553917662487317 % h = 0.001 TOP MAIN SOLVE Loop memory used=3929.1MB, alloc=4.4MB, time=385.58 NO POLE NO POLE x[1] = 0.807 y2[1] (analytic) = 1.6916681884749454007495124043812 y2[1] (numeric) = 1.6196108993282392606818896702498 absolute error = 0.0720572891467061400676227341314 relative error = 4.2595403541675898123843110716759 % h = 0.001 y1[1] (analytic) = 0.27778457711581137523677861250211 y1[1] (numeric) = 0.29029617149453196217741159603052 absolute error = 0.01251159437872058694063298352841 relative error = 4.5040637275928997296947599609441 % h = 0.001 TOP MAIN SOLVE Loop memory used=3933.0MB, alloc=4.4MB, time=385.85 memory used=3936.8MB, alloc=4.4MB, time=386.12 NO POLE NO POLE x[1] = 0.808 y2[1] (analytic) = 1.6909456273383650252878443374403 y2[1] (numeric) = 1.6185740354071734171323104620523 absolute error = 0.072371591931191608155533875388 relative error = 4.2799479037719384544485647265119 % h = 0.001 y1[1] (analytic) = 0.27709327015029580527064718421017 y1[1] (numeric) = 0.28967707889235326436703764671299 absolute error = 0.01258380874205745909639046250282 relative error = 4.5413620963194026197284662762945 % h = 0.001 TOP MAIN SOLVE Loop memory used=3940.6MB, alloc=4.4MB, time=386.39 NO POLE NO POLE x[1] = 0.809 y2[1] (analytic) = 1.6902223752562148902615098863654 y2[1] (numeric) = 1.6175355534086893349540201925322 absolute error = 0.0726868218475255553074896938332 relative error = 4.3004295122118008023649931571751 % h = 0.001 y1[1] (analytic) = 0.2764026860914498427832310841352 y1[1] (numeric) = 0.28905902396307676272112316227037 absolute error = 0.01265633787162691993789207813517 relative error = 4.5789489424279611844717331091252 % h = 0.001 TOP MAIN SOLVE Loop memory used=3944.4MB, alloc=4.4MB, time=386.67 memory used=3948.2MB, alloc=4.4MB, time=386.94 NO POLE NO POLE x[1] = 0.81 y2[1] (analytic) = 1.6894984329517470175496392406801 y2[1] (numeric) = 1.6164954526422030128498393733655 absolute error = 0.0730029803095440046997998673146 relative error = 4.3209853815608131444562908555682 % h = 0.001 y1[1] (analytic) = 0.27571282562985748907182314748546 y1[1] (numeric) = 0.2884420083251252277499483048755 absolute error = 0.01272918269526773867812515739004 relative error = 4.6168264628924357958855901735971 % h = 0.001 TOP MAIN SOLVE Loop memory used=3952.0MB, alloc=4.4MB, time=387.21 NO POLE NO POLE x[1] = 0.811 y2[1] (analytic) = 1.688773801148903651291581750883 y2[1] (numeric) = 1.6154537324178540467158976313989 absolute error = 0.0733200687310496045756841194841 relative error = 4.3416157143821524888708291383055 % h = 0.001 y1[1] (analytic) = 0.27502368945537914824040720258509 y1[1] (numeric) = 0.28782603359761165222401228424037 absolute error = 0.01280234414223250398360508165528 relative error = 4.6549968723001962481518645533832 % h = 0.001 TOP MAIN SOLVE Loop memory used=3955.9MB, alloc=4.4MB, time=387.49 memory used=3959.7MB, alloc=4.4MB, time=387.76 NO POLE NO POLE x[1] = 0.812 y2[1] (analytic) = 1.6880484805723165339447221176171 y2[1] (numeric) = 1.6144103920465063195019803241551 absolute error = 0.073638088525810214442741793462 relative error = 4.3623207137299712940927951397316 % h = 0.001 y1[1] (analytic) = 0.27433527825715093733931145525542 y1[1] (numeric) = 0.28721110140033852723184954667682 absolute error = 0.0128758231431875898925380914214 relative error = 4.6934624030083026104772677064336 % h = 0.001 TOP MAIN SOLVE Loop memory used=3963.5MB, alloc=4.4MB, time=388.03 NO POLE NO POLE x[1] = 0.813 y2[1] (analytic) = 1.6873224719473061816527983202618 y2[1] (numeric) = 1.6133654308397486903475881620397 absolute error = 0.0739570411075574913052101582221 relative error = 4.3831005831508367633754123118787 % h = 0.001 y1[1] (analytic) = 0.27364759272358399722914886649459 y1[1] (numeric) = 0.28659721335379711754834770358023 absolute error = 0.01294962063021312031919883708564 relative error = 4.7322253053012413488406729323655 % h = 0.001 TOP MAIN SOLVE Loop memory used=3967.3MB, alloc=4.4MB, time=388.30 memory used=3971.1MB, alloc=4.4MB, time=388.58 NO POLE NO POLE x[1] = 0.814 y2[1] (analytic) = 1.6865957759998811589254459165686 y2[1] (numeric) = 1.6123188481098956829930207012473 absolute error = 0.0742769278899854759324252153213 relative error = 4.4039555266851747196890887937001 % h = 0.001 y1[1] (analytic) = 0.27296063354236380416973365945774 y1[1] (numeric) = 0.28598437107916673631429183095781 absolute error = 0.01302373753680293214455817150007 relative error = 4.7712878475502340539694307519973 % h = 0.001 TOP MAIN SOLVE Loop memory used=3974.9MB, alloc=4.4MB, time=388.85 NO POLE NO POLE x[1] = 0.815 y2[1] (analytic) = 1.6858683934567373526296940337378 y2[1] (numeric) = 1.6112706431699881734647952963407 absolute error = 0.0745977502867491791648987373971 relative error = 4.4248857488687180778426956920638 % h = 0.001 y1[1] (analytic) = 0.27227440140044948213466236676389 y1[1] (numeric) = 0.28537257619831401902786046039684 absolute error = 0.01309817479786453689319809363295 relative error = 4.8106523163741363276302737182294 % h = 0.001 TOP MAIN SOLVE Loop memory used=3978.7MB, alloc=4.4MB, time=389.12 NO POLE NO POLE x[1] = 0.816 y2[1] (analytic) = 1.685140325045257245294139059378 y2[1] (numeric) = 1.6102208153337940770347138271418 absolute error = 0.0749195097114631682594252322362 relative error = 4.4458914547339599305028272103292 % h = 0.001 y1[1] (analytic) = 0.2715888969840731158522471034912 y1[1] (numeric) = 0.28476183033379219684879926991627 absolute error = 0.01317293334971908099655216642507 relative error = 4.8503210168019445970548355822834 % h = 0.001 TOP MAIN SOLVE Loop memory used=3982.6MB, alloc=4.4MB, time=389.39 memory used=3986.4MB, alloc=4.4MB, time=389.68 NO POLE NO POLE x[1] = 0.817 y2[1] (analytic) = 1.684411571493509187726522728114 y2[1] (numeric) = 1.6091693639158090344518902409249 absolute error = 0.0752422075777001532746324871891 relative error = 4.4669728498116112649028400904707 % h = 0.001 y1[1] (analytic) = 0.27090412097873906457348802486997 y1[1] (numeric) = 0.28415213510884036921599917046751 absolute error = 0.01324801413010130464251114559754 relative error = 4.8902962724369288480329478550817 % h = 0.001 TOP MAIN SOLVE Loop memory used=3990.2MB, alloc=4.4MB, time=389.97 NO POLE NO POLE x[1] = 0.818 y2[1] (analytic) = 1.683682133530246670945441986206 y2[1] (numeric) = 1.6081162882312570974470526779409 absolute error = 0.0755658452989895734983893082651 relative error = 4.488130140132063327100712431833 % h = 0.001 y1[1] (analytic) = 0.27022007406922327656777120064388 y1[1] (numeric) = 0.28354349214738277577920617044564 absolute error = 0.01332341807815949921143496980176 relative error = 4.9305804256224094909432890173532 % h = 0.001 TOP MAIN SOLVE Loop memory used=3994.0MB, alloc=4.4MB, time=390.25 memory used=3997.8MB, alloc=4.4MB, time=390.52 NO POLE NO POLE x[1] = 0.819 y2[1] (analytic) = 1.6829520118849075974269187024083 y2[1] (numeric) = 1.607061587596091413508434676029 absolute error = 0.0758904242888161839184840263793 relative error = 4.5093635322268546507123030510668 % h = 0.001 y1[1] (analytic) = 0.26953675693957260434697741034436 y1[1] (numeric) = 0.28293590307402806764559108644058 absolute error = 0.01339914613445546329861367609622 relative error = 4.9711758376091968007959839015409 % h = 0.001 TOP MAIN SOLVE Loop memory used=4001.6MB, alloc=4.4MB, time=390.81 NO POLE NO POLE x[1] = 0.82 y2[1] (analytic) = 1.6822212072876135516665579784369 y2[1] (numeric) = 1.6060052613269949099285706784807 absolute error = 0.0762159459606186417379872999562 relative error = 4.5306732331301427671144336001703 % h = 0.001 y1[1] (analytic) = 0.26885417027310412061868663531228 y1[1] (numeric) = 0.28232936951406857794190785359769 absolute error = 0.01347519924096445732322121828541 relative error = 5.0120848887247116022814584145804 % h = 0.001 TOP MAIN SOLVE Loop memory used=4005.4MB, alloc=4.4MB, time=391.08 memory used=4009.3MB, alloc=4.4MB, time=391.36 NO POLE NO POLE x[1] = 0.821 y2[1] (analytic) = 1.6814897204691690700580244968283 y2[1] (numeric) = 1.6049473087413809771213117984177 absolute error = 0.0765424117277880929367126984106 relative error = 4.5520594503801806141803581152623 % h = 0.001 y1[1] (analytic) = 0.26817231475240443496916229420547 y1[1] (numeric) = 0.2817238930934795916929698733688 absolute error = 0.01355157834107515672380757916333 relative error = 5.0533099785438061039010755166346 % h = 0.001 TOP MAIN SOLVE Loop memory used=4013.1MB, alloc=4.4MB, time=391.63 NO POLE NO POLE x[1] = 0.822 y2[1] (analytic) = 1.6807575521610609100885670276502 y2[1] (numeric) = 1.6038877291573941512083785227253 absolute error = 0.0768698230036667588801885049249 relative error = 4.5735223920207976606786299884984 % h = 0.001 y1[1] (analytic) = 0.2674911910593290112767985389509 y1[1] (numeric) = 0.2811194754389186150171745201164 absolute error = 0.0136282843795896037403759811655 relative error = 5.0948535260613040215454056257082 % h = 0.001 TOP MAIN SOLVE Loop memory used=4016.9MB, alloc=4.4MB, time=391.90 memory used=4020.7MB, alloc=4.4MB, time=392.18 NO POLE NO POLE x[1] = 0.823 y2[1] (analytic) = 1.6800247030954573188523218984808 y2[1] (numeric) = 1.6028265218939107958747677690452 absolute error = 0.0771981812015465229775541294356 relative error = 4.5950622666028857635351260086823 % h = 0.001 y1[1] (analytic) = 0.26681079987500148585671319763723 y1[1] (numeric) = 0.28051611817772464363980661098562 absolute error = 0.01370531830272315778309341334839 relative error = 5.1367179698662793714337910141516 % h = 0.001 TOP MAIN SOLVE Loop memory used=4024.5MB, alloc=4.4MB, time=392.45 NO POLE NO POLE x[1] = 0.824 y2[1] (analytic) = 1.6792911740052073008821269142913 y2[1] (numeric) = 1.6017636862705397834923324404775 absolute error = 0.0775274877346675173897944738138 relative error = 4.6166792831858897752270425779086 % h = 0.001 y1[1] (analytic) = 0.26613114187981298633716821969816 y1[1] (numeric) = 0.27991382293791743072485232567956 absolute error = 0.0137826810581044443876841059814 relative error = 5.178905768318093555183314949371 % h = 0.001 TOP MAIN SOLVE Loop memory used=4028.3MB, alloc=4.4MB, time=392.72 memory used=4032.1MB, alloc=4.4MB, time=393.00 NO POLE NO POLE x[1] = 0.825 y2[1] (analytic) = 1.6785569656238398853005778953559 y2[1] (numeric) = 1.6006992216076231755108523544687 absolute error = 0.0778577440162167097897255408872 relative error = 4.6383736513393029186470419667749 % h = 0.001 y1[1] (analytic) = 0.26545221775342145126849874690922 y1[1] (numeric) = 0.27931259134819675402605574426304 absolute error = 0.01386037359477530275755699735382 relative error = 5.2214193997242106059863550315601 % h = 0.001 TOP MAIN SOLVE Loop memory used=4036.0MB, alloc=4.4MB, time=393.27 NO POLE NO POLE x[1] = 0.826 y2[1] (analytic) = 1.6778220786855633922910606820732 y2[1] (numeric) = 1.5996331272262369021159161548727 absolute error = 0.0781889514593264901751445272005 relative error = 4.6601455811441669468453980109971 % h = 0.001 y1[1] (analytic) = 0.26477402817475095046523120121228 y1[1] (numeric) = 0.27871242503794168235795085187721 absolute error = 0.01393839686319073189271965066493 relative error = 5.2642613625198107144943805180712 % h = 0.001 TOP MAIN SOLVE Loop memory used=4039.8MB, alloc=4.4MB, time=393.55 NO POLE NO POLE x[1] = 0.827 y2[1] (analytic) = 1.6770865139252646988894921356054 y2[1] (numeric) = 1.598565402448191441152934549358 absolute error = 0.0785211114770732577365575862474 relative error = 4.6819952831945771051279724774597 % h = 0.001 y1[1] (analytic) = 0.26409657382199100608207004719305 y1[1] (numeric) = 0.27811332563720984138760253927176 absolute error = 0.01401675181521883530553249207871 relative error = 5.3074341754492224060831755174795 % h = 0.001 TOP MAIN SOLVE Loop memory used=4043.6MB, alloc=4.4MB, time=393.82 memory used=4047.4MB, alloc=4.4MB, time=394.10 NO POLE NO POLE x[1] = 0.828 y2[1] (analytic) = 1.6763502720785085040975043425319 y2[1] (numeric) = 1.5974960465960324963166059482052 absolute error = 0.0788542254824760077808983943267 relative error = 4.7039229685991919130581469453139 % h = 0.001 y1[1] (analytic) = 0.26341985537259591442443215316827 y1[1] (numeric) = 0.27751529477673667874779080735269 absolute error = 0.01409543940414076432335865418442 relative error = 5.3509403777491939977637147817836 % h = 0.001 TOP MAIN SOLVE Loop memory used=4051.2MB, alloc=4.4MB, time=394.37 NO POLE NO POLE x[1] = 0.829 y2[1] (analytic) = 1.6756133538815365933178069102739 y2[1] (numeric) = 1.5964250589930416746051563150861 absolute error = 0.0791882948884949187126505951878 relative error = 4.7259288489827477839814419740072 % h = 0.001 y1[1] (analytic) = 0.26274387350328406849420694029164 y1[1] (numeric) = 0.27691833408793472847237306250012 absolute error = 0.01417446058465065997816612220848 relative error = 5.3947825293340252231568334549215 % h = 0.001 TOP MAIN SOLVE Loop memory used=4055.0MB, alloc=4.4MB, time=394.64 memory used=4058.8MB, alloc=4.4MB, time=394.92 NO POLE NO POLE x[1] = 0.83 y2[1] (analytic) = 1.6748757600712671021124629178644 y2[1] (numeric) = 1.5953524389632371630386757756399 absolute error = 0.0795233211080299390737871422245 relative error = 4.7480131364875784997624770880836 % h = 0.001 y1[1] (analytic) = 0.26206862889003728127141977386192 y1[1] (numeric) = 0.27632244520289287475456006723252 absolute error = 0.0142538163128555934831402933706 relative error = 5.4389632109825801777228450730351 % h = 0.001 TOP MAIN SOLVE Loop memory used=4062.7MB, alloc=4.4MB, time=395.19 NO POLE NO POLE x[1] = 0.831 y2[1] (analytic) = 1.6741374913852937792848147637283 y2[1] (numeric) = 1.5942781858313744046408752655675 absolute error = 0.0798593055539193746439394981608 relative error = 4.7701760437751395584951632305837 % h = 0.001 y1[1] (analytic) = 0.26139412220810010973247531511345 y1[1] (numeric) = 0.27572762975437561502884178788017 absolute error = 0.01433350754627550529636647276672 relative error = 5.4834850245272030038844991198312 % h = 0.001 TOP MAIN SOLVE Loop memory used=4066.5MB, alloc=4.4MB, time=395.46 memory used=4070.3MB, alloc=4.4MB, time=395.75 NO POLE NO POLE x[1] = 0.832 y2[1] (analytic) = 1.6733985485618852492857968284831 y2[1] (numeric) = 1.5932022989229467736835872365425 absolute error = 0.0801962496389384756022095919406 relative error = 4.7924177840275374130185753623877 % h = 0.001 y1[1] (analytic) = 0.26072035413197917960565681518938 y1[1] (numeric) = 0.27513388937582232237730005728043 absolute error = 0.01441353524384314277164324209105 relative error = 5.5283505930445580068591695741107 % h = 0.001 TOP MAIN SOLVE Loop memory used=4074.1MB, alloc=4.4MB, time=396.04 NO POLE NO POLE x[1] = 0.833 y2[1] (analytic) = 1.6726589323399842739453725463881 y2[1] (numeric) = 1.5921247775641862501933351754951 absolute error = 0.080534154775798023752037370893 relative error = 4.8147385709490636181428283623597 % h = 0.001 y1[1] (analytic) = 0.26004732533544251086455659574197 y1[1] (numeric) = 0.27454122570134650726104564612085 absolute error = 0.01449390036590399639648905037888 relative error = 5.5735625610484161669808978553286 % h = 0.001 TOP MAIN SOLVE Loop memory used=4077.9MB, alloc=4.4MB, time=396.33 memory used=4081.7MB, alloc=4.4MB, time=396.63 NO POLE NO POLE x[1] = 0.834 y2[1] (analytic) = 1.6719186434592070135298341539424 y2[1] (numeric) = 1.5910456210820640937192974307557 absolute error = 0.0808730223771429198105367231867 relative error = 4.8371386187677339045614758684168 % h = 0.001 y1[1] (analytic) = 0.25937503649151884396011222267346 y1[1] (numeric) = 0.27394964036573507857751801143143 absolute error = 0.01457460387421623461740578875797 relative error = 5.6191235946844102931027924153213 % h = 0.001 TOP MAIN SOLVE Loop memory used=4085.6MB, alloc=4.4MB, time=396.92 NO POLE NO POLE x[1] = 0.835 y2[1] (analytic) = 1.6711776826598422871257040582708 y2[1] (numeric) = 1.5899648288042915163619915771498 absolute error = 0.081212853855550770763712481121 relative error = 4.8596181422368321974994707577367 % h = 0.001 y1[1] (analytic) = 0.25870348827249696679192214092496 y1[1] (numeric) = 0.2733591350044476040443866648647 absolute error = 0.01465564673195063725246452393974 relative error = 5.6650363819267813443841913082001 % h = 0.001 TOP MAIN SOLVE Loop memory used=4089.4MB, alloc=4.4MB, time=397.21 memory used=4093.2MB, alloc=4.4MB, time=397.51 NO POLE NO POLE x[1] = 0.836 y2[1] (analytic) = 1.6704360506828508323509774413339 y2[1] (numeric) = 1.5888824000593203550620062914169 absolute error = 0.081553650623530477288971149917 relative error = 4.8821773566364595982185691674647 % h = 0.001 y1[1] (analytic) = 0.2580326813499250424195137989418 y1[1] (numeric) = 0.27276971125361556991079377680071 absolute error = 0.01473702990369052749127997785891 relative error = 5.711303632777138734444782417713 % h = 0.001 TOP MAIN SOLVE Loop memory used=4097.0MB, alloc=4.4MB, time=397.80 NO POLE NO POLE x[1] = 0.837 y2[1] (analytic) = 1.6696937482698645643944463886591 y2[1] (numeric) = 1.5877983341763437431481084492765 absolute error = 0.0818954140935208212463379393826 relative error = 4.9048164777750883465752288873372 % h = 0.001 y1[1] (analytic) = 0.25736261639460993751423655149115 y1[1] (numeric) = 0.27218137075004163999667830497251 absolute error = 0.01481875435543170248244175348136 relative error = 5.7579280794652577225704059723478 % h = 0.001 TOP MAIN SOLVE Loop memory used=4100.8MB, alloc=4.4MB, time=398.09 NO POLE NO POLE memory used=4104.6MB, alloc=4.4MB, time=398.38 x[1] = 0.838 y2[1] (analytic) = 1.6689507761631858343838465032063 y2[1] (numeric) = 1.586712630485296781144053896091 absolute error = 0.0822381456778890532397926071153 relative error = 4.9275357219911207828995492013645 % h = 0.001 y1[1] (analytic) = 0.25669329407661655155245088888304 y1[1] (numeric) = 0.27159411513119891406092260822632 absolute error = 0.01490082105458236250847171934328 relative error = 5.8049124766519372914444091943229 % h = 0.001 TOP MAIN SOLVE Loop memory used=4108.4MB, alloc=4.4MB, time=398.68 NO POLE NO POLE x[1] = 0.839 y2[1] (analytic) = 1.6682071351057866870835676361593 y2[1] (numeric) = 1.5856252883168572068334310843701 absolute error = 0.0825818467889294802501365517892 relative error = 4.9503353061544533275376244157908 % h = 0.001 y1[1] (analytic) = 0.25602471506526714675068479934958 y1[1] (numeric) = 0.27100794603523018549906317720797 absolute error = 0.01498323096996303874837837785839 relative error = 5.8522596016339422098170917455413 % h = 0.001 TOP MAIN SOLVE Loop memory used=4112.3MB, alloc=4.4MB, time=399.02 NO POLE NO POLE x[1] = 0.84 y2[1] (analytic) = 1.6674628258413081179226710368709 y2[1] (numeric) = 1.5845363070024460645818675133291 absolute error = 0.0829265188388620533408035235418 relative error = 4.9732154476680454964738389911565 % h = 0.001 y1[1] (analytic) = 0.25535688002914067874342732937035 y1[1] (numeric) = 0.27042286510094719837130778420302 absolute error = 0.01506598507180651962788045483267 relative error = 5.8999722545510532816779347729528 % h = 0.001 TOP MAIN SOLVE Loop memory used=4116.1MB, alloc=4.4MB, time=399.31 memory used=4119.9MB, alloc=4.4MB, time=399.60 NO POLE NO POLE x[1] = 0.841 y2[1] (analytic) = 1.6667178491140593293539558938825 y2[1] (numeric) = 1.58344568587422837391592964835 absolute error = 0.0832721632398309554380262455325 relative error = 4.9961763644694939715241200124737 % h = 0.001 y1[1] (analytic) = 0.25468978963607212800422866409446 y1[1] (numeric) = 0.26983887396782990376160202405146 absolute error = 0.015149084331757775757373359957 relative error = 5.9480532585952500909259799984599 % h = 0.001 TOP MAIN SOLVE Loop memory used=4123.7MB, alloc=4.4MB, time=399.87 NO POLE NO POLE x[1] = 0.842 y2[1] (analytic) = 1.6659722056690169865448189078902 y2[1] (numeric) = 1.5823534242651137973580477415022 absolute error = 0.083618781403903189186771166388 relative error = 5.0192182750326117436659843069102 % h = 0.001 y1[1] (analytic) = 0.25402344455315183201077530670349 y1[1] (numeric) = 0.26925597427602571546848888700851 absolute error = 0.01523252972287388345771358030502 relative error = 5.9965054602220508623090445295101 % h = 0.001 TOP MAIN SOLVE Loop memory used=4127.5MB, alloc=4.4MB, time=400.14 memory used=4131.3MB, alloc=4.4MB, time=400.41 NO POLE NO POLE x[1] = 0.843 y2[1] (analytic) = 1.665225896251824472400651205734 y2[1] (numeric) = 1.5812595215087573075167977182525 absolute error = 0.0839663747430671648838534874815 relative error = 5.0423413983690123481463744853014 % h = 0.001 y1[1] (analytic) = 0.25335784544672481815460819158468 y1[1] (numeric) = 0.26867416766634876502850567262993 absolute error = 0.01531632221962394687389748104525 relative error = 6.0453317293640343755896597010347 % h = 0.001 TOP MAIN SOLVE Loop memory used=4135.1MB, alloc=4.4MB, time=400.68 NO POLE NO POLE x[1] = 0.844 y2[1] (analytic) = 1.6644789216087911419215175719538 y2[1] (numeric) = 1.5801639769395598534318730401386 absolute error = 0.0843149446692312884896445318152 relative error = 5.0655459540296992100837721833477 % h = 0.001 y1[1] (analytic) = 0.25269299298239013739615082154036 y1[1] (numeric) = 0.2680934557802791560728632212228 absolute error = 0.01540046279788901867671239968244 relative error = 6.0945349596465691905630780547184 % h = 0.001 TOP MAIN SOLVE Loop memory used=4139.0MB, alloc=4.4MB, time=400.95 memory used=4142.8MB, alloc=4.4MB, time=401.23 NO POLE NO POLE x[1] = 0.845 y2[1] (analytic) = 1.6637312824868915758928636411686 y2[1] (numeric) = 1.5790667898926690261730801984901 absolute error = 0.0846644925942225497197834426785 relative error = 5.0888321621066601193569094596084 % h = 0.001 y1[1] (analytic) = 0.2520288878250001986657137739502 y1[1] (numeric) = 0.26751384025996221801815310612048 absolute error = 0.01548495243496201935243933217028 relative error = 6.1441180686057757657699238233633 % h = 0.001 TOP MAIN SOLVE Loop memory used=4146.6MB, alloc=4.4MB, time=401.49 NO POLE NO POLE x[1] = 0.846 y2[1] (analytic) = 1.6629829796337648339109973605104 y2[1] (numeric) = 1.5779679597039797236926922402564 absolute error = 0.085015019929785110218305120254 relative error = 5.112200243234466853648572329775 % h = 0.001 y1[1] (analytic) = 0.25136553063866010401114117482621 y1[1] (numeric) = 0.26693532274820775909182909601227 absolute error = 0.01556979210954765508068792118606 relative error = 6.1940839979087473835837648837044 % h = 0.001 TOP MAIN SOLVE Loop memory used=4150.4MB, alloc=4.4MB, time=401.77 memory used=4154.2MB, alloc=4.4MB, time=402.05 NO POLE NO POLE x[1] = 0.847 y2[1] (analytic) = 1.6622340137977137067440916965694 y2[1] (numeric) = 1.5768674857101348149304954736437 absolute error = 0.0853665280875788918135962229257 relative error = 5.1356504185918799685895054467051 % h = 0.001 y1[1] (analytic) = 0.25070292208672698449276399305858 y1[1] (numeric) = 0.26635790488848931869320986178414 absolute error = 0.01565498280176233420044586872556 relative error = 6.244435713576056128883948920483 % h = 0.001 TOP MAIN SOLVE Loop memory used=4158.0MB, alloc=4.4MB, time=402.32 NO POLE NO POLE x[1] = 0.848 y2[1] (analytic) = 1.6614843857277039680294562257845 y2[1] (numeric) = 1.5757653672485258031708652485694 absolute error = 0.0857190184791781648585909772151 relative error = 5.1591829099034587740242856498892 % h = 0.001 y1[1] (analytic) = 0.25004106283180933682632425984381 y1[1] (numeric) = 0.26578158832494341909075056680546 absolute error = 0.01574052549313408226442630696165 relative error = 6.295176206206570507819581185583 % h = 0.001 TOP MAIN SOLVE Loop memory used=4161.8MB, alloc=4.4MB, time=402.59 NO POLE NO POLE memory used=4165.7MB, alloc=4.4MB, time=402.86 x[1] = 0.849 y2[1] (analytic) = 1.6607340961733636253078259109465 y2[1] (numeric) = 1.5746616036572934886512074549141 absolute error = 0.0860724925160701366566184560324 relative error = 5.1827979394411765154982361916222 % h = 0.001 y1[1] (analytic) = 0.24937995353576636077453357031556 y1[1] (numeric) = 0.26520637470236881645633164332784 absolute error = 0.01582642116660245568179807301228 relative error = 6.3463084912046116373058725176612 % h = 0.001 TOP MAIN SOLVE Loop memory used=4169.5MB, alloc=4.4MB, time=403.14 NO POLE NO POLE x[1] = 0.85 y2[1] (analytic) = 1.6599831458849821703954160294615 y2[1] (numeric) = 1.5735561942753286304211031301842 absolute error = 0.0864269516096535399743128992773 relative error = 5.2064957300260407801420045940504 % h = 0.001 y1[1] (analytic) = 0.24871959485970729728792847576453 y1[1] (numeric) = 0.26463226566622575123731372064481 absolute error = 0.01591267080651845394938524488028 relative error = 6.3978356090094752849448628013023 % h = 0.001 TOP MAIN SOLVE Loop memory used=4173.3MB, alloc=4.4MB, time=403.42 NO POLE NO POLE x[1] = 0.851 y2[1] (analytic) = 1.6592315356135098290944928812576 y2[1] (numeric) = 1.5724491384422726074514943174958 absolute error = 0.0867823971712372216429985637618 relative error = 5.2302765050297191462083270049092 % h = 0.001 y1[1] (analytic) = 0.24805998746399076739568462553681 y1[1] (numeric) = 0.26405926286263519786710833289504 absolute error = 0.01599927539864443047142370735823 relative error = 6.4497606253273473931056203553931 % h = 0.001 TOP MAIN SOLVE Loop memory used=4177.1MB, alloc=4.4MB, time=403.69 memory used=4180.9MB, alloc=4.4MB, time=403.97 NO POLE NO POLE x[1] = 0.852 y2[1] (analytic) = 1.6584792661105568102432105657027 y2[1] (numeric) = 1.5713404354985180789932500647497 absolute error = 0.087138830612038731249960500953 relative error = 5.254140488376170095593752312279 % h = 0.001 y1[1] (analytic) = 0.2474011320082241118470507677415 y1[1] (numeric) = 0.26348736793837811381501469587582 absolute error = 0.01608623593015400196796392813432 relative error = 6.5020866313656410800126340027571 % h = 0.001 TOP MAIN SOLVE Loop memory used=4184.7MB, alloc=4.4MB, time=404.24 NO POLE NO POLE x[1] = 0.853 y2[1] (analytic) = 1.6577263381283925541054647776315 y2[1] (numeric) = 1.5702300847852096441844522064854 absolute error = 0.0874962533431829099210125711461 relative error = 5.2780879045432792087567018714343 % h = 0.001 y1[1] (analytic) = 0.24674302915126273150406296727849 y1[1] (numeric) = 0.26291658254089468797607350296737 absolute error = 0.01617355338963195647201053568888 relative error = 6.5548167440697834749547866169104 % h = 0.001 TOP MAIN SOLVE Loop memory used=4188.5MB, alloc=4.4MB, time=404.51 memory used=4192.4MB, alloc=4.4MB, time=404.79 NO POLE NO POLE x[1] = 0.854 y2[1] (analytic) = 1.6569727524199449801015152325684 y2[1] (numeric) = 1.5691180856442445009057413211846 absolute error = 0.0878546667757004791957739113838 relative error = 5.3021189785645006615221972208706 % h = 0.001 y1[1] (analytic) = 0.24608567955120942848619864841736 y1[1] (numeric) = 0.26234690831828358840168935025172 absolute error = 0.01626122876707415991549070183436 relative error = 6.6079541063624811142219188321298 % h = 0.001 TOP MAIN SOLVE Loop memory used=4196.2MB, alloc=4.4MB, time=405.06 NO POLE NO POLE x[1] = 0.855 y2[1] (analytic) = 1.6562185097387997338801289904588 y2[1] (numeric) = 1.5680044374182731038830640087324 absolute error = 0.0882140723205266299970649817264 relative error = 5.3262339360305040433429003591077 % h = 0.001 y1[1] (analytic) = 0.24542908386541374806762931721824 y1[1] (numeric) = 0.26177834691930120937177406014089 absolute error = 0.01634926305388746130414474292265 relative error = 6.661501887385492999183833689024 % h = 0.001 TOP MAIN SOLVE Loop memory used=4200.0MB, alloc=4.4MB, time=405.33 memory used=4203.8MB, alloc=4.4MB, time=405.60 NO POLE NO POLE x[1] = 0.856 y2[1] (analytic) = 1.6554636108391994337329976057035 y2[1] (numeric) = 1.5668891394506998220371633853434 absolute error = 0.0885744713884996116958342203601 relative error = 5.3504330030908265166657807687963 % h = 0.001 y1[1] (analytic) = 0.24477324275047132132773006648732 y1[1] (numeric) = 0.26121089999336091780916383130837 absolute error = 0.01643765724288959648143376482105 relative error = 6.7154632827439407981313394477929 % h = 0.001 TOP MAIN SOLVE Loop memory used=4207.6MB, alloc=4.4MB, time=405.87 NO POLE NO POLE x[1] = 0.857 y2[1] (analytic) = 1.6547080564760429163521816890169 y2[1] (numeric) = 1.565772191085683595079155446518 absolute error = 0.0889358653903593212730262424989 relative error = 5.3747164064555303371337521679788 % h = 0.001 y1[1] (analytic) = 0.24411815686222320855550321270245 y1[1] (numeric) = 0.26064456919053229903706380044394 absolute error = 0.01652641232830909048156058774149 relative error = 6.7698415147531860591856946971417 % h = 0.001 TOP MAIN SOLVE Loop memory used=4211.4MB, alloc=4.4MB, time=406.15 memory used=4215.3MB, alloc=4.4MB, time=406.42 NO POLE NO POLE x[1] = 0.858 y2[1] (analytic) = 1.6539518474048844819313371236005 y2[1] (numeric) = 1.5646535916681385893515347025067 absolute error = 0.0892982557367458925798024210938 relative error = 5.399084373396865754432011708364 % h = 0.001 y1[1] (analytic) = 0.24346382685575524340857266043075 y1[1] (numeric) = 0.26007935616154040188027425832443 absolute error = 0.01661552930578515847170159789368 relative error = 6.8246398326883046928381837339856 % h = 0.001 TOP MAIN SOLVE Loop memory used=4219.1MB, alloc=4.4MB, time=406.69 NO POLE NO POLE x[1] = 0.859 y2[1] (analytic) = 1.6531949843819331386114778343436 y2[1] (numeric) = 1.5635333405437348529139532453309 absolute error = 0.0896616438381982856975245890127 relative error = 5.4235371317509393136695668046785 % h = 0.001 y1[1] (analytic) = 0.24281025338539737782740483518898 y1[1] (numeric) = 0.25951526255776498311095341891128 absolute error = 0.0167050091723676052835485837223 relative error = 6.8798615130361893795935750618515 % h = 0.001 TOP MAIN SOLVE Loop memory used=4222.9MB, alloc=4.4MB, time=406.96 NO POLE NO POLE memory used=4226.7MB, alloc=4.4MB, time=407.23 x[1] = 0.86 y2[1] (analytic) = 1.6524374681640518462720306642239 y2[1] (numeric) = 1.5624114370588989698731181616371 absolute error = 0.0900260311051528763989125025868 relative error = 5.4480749099193875772675517540086 % h = 0.001 y1[1] (analytic) = 0.24215743710472302770541127047135 y1[1] (numeric) = 0.25895229003123975123967229564917 absolute error = 0.01679485292651672353426102517782 relative error = 6.935509859750310960849481026831 % h = 0.001 TOP MAIN SOLVE Loop memory used=4230.5MB, alloc=4.4MB, time=407.51 NO POLE NO POLE x[1] = 0.861 y2[1] (analytic) = 1.6516792995087567596679385667926 y2[1] (numeric) = 1.5612878805608147139561529615398 absolute error = 0.0903914189479420457117856052528 relative error = 5.4726979368710562874074195871783 % h = 0.001 y1[1] (analytic) = 0.24150537866654841931558717878744 y1[1] (numeric) = 0.25839044023465160965251789384781 absolute error = 0.01688506156810319033693071506037 relative error = 6.9915882045081702796392647490292 % h = 0.001 TOP MAIN SOLVE Loop memory used=4234.3MB, alloc=4.4MB, time=407.78 NO POLE NO POLE x[1] = 0.862 y2[1] (analytic) = 1.6509204791742164709135689775753 y2[1] (numeric) = 1.5601626703974237013267694501479 absolute error = 0.0907578087767927695867995274274 relative error = 5.4974064421436849891739459902048 % h = 0.001 y1[1] (analytic) = 0.24085407872293193649433958001736 y1[1] (numeric) = 0.25782971482133989909500158198066 absolute error = 0.0169756360984079626006620019633 relative error = 7.0480999069714723522918264393453 % h = 0.001 TOP MAIN SOLVE Loop memory used=4238.1MB, alloc=4.4MB, time=408.05 memory used=4242.0MB, alloc=4.4MB, time=408.33 NO POLE NO POLE x[1] = 0.863 y2[1] (analytic) = 1.6501610079192512513141848804184 y2[1] (numeric) = 1.5590358059174260426435972256562 absolute error = 0.0911252020018252086705876547622 relative error = 5.5222006558455971346102034603974 % h = 0.001 y1[1] (analytic) = 0.24020353792517346858315780320164 y1[1] (numeric) = 0.25727011544529563950353015792906 absolute error = 0.01706657752012217092037235472742 relative error = 7.1050483550490551725116412348842 % h = 0.001 TOP MAIN SOLVE Loop memory used=4245.8MB, alloc=4.4MB, time=408.60 NO POLE NO POLE x[1] = 0.864 y2[1] (analytic) = 1.6494008865033322925457367372467 y2[1] (numeric) = 1.5579072864702809943600187457264 absolute error = 0.0914936000330512981857179915203 relative error = 5.5470808086573956879842569430301 % h = 0.001 y1[1] (analytic) = 0.2395537569238137591287784200408 y1[1] (numeric) = 0.25671164376116077118519777863754 absolute error = 0.01715788683734701205641935859674 relative error = 7.1624369651626058759527425784096 % h = 0.001 TOP MAIN SOLVE Loop memory used=4249.6MB, alloc=4.4MB, time=408.87 memory used=4253.4MB, alloc=4.4MB, time=409.14 NO POLE NO POLE x[1] = 0.865 y2[1] (analytic) = 1.6486401156865809471837341013768 y2[1] (numeric) = 1.5567771114062076092648586623782 absolute error = 0.0918630042803733379188754389986 relative error = 5.5720471318336642526502988665896 % h = 0.001 y1[1] (analytic) = 0.23890473636863375534249590988562 y1[1] (numeric) = 0.25615430142422739534665757332511 absolute error = 0.01724956505559364000416166343949 relative error = 7.2202691825151974261485385911181 % h = 0.001 TOP MAIN SOLVE Loop memory used=4257.2MB, alloc=4.4MB, time=409.42 NO POLE NO POLE x[1] = 0.866 y2[1] (analytic) = 1.6478786962297679685819563854515 y2[1] (numeric) = 1.555645280076185386263276884754 absolute error = 0.0922334161535825823186795006975 relative error = 5.5970998572046737399702836030257 % h = 0.001 y1[1] (analytic) = 0.23825647690865395831926959685314 y1[1] (numeric) = 0.25559809009043701397283241131765 absolute error = 0.01734161318178305565356281446451 relative error = 7.2785484813626794217646966165094 % h = 0.001 TOP MAIN SOLVE Loop memory used=4261.0MB, alloc=4.4MB, time=409.68 memory used=4264.8MB, alloc=4.4MB, time=409.96 NO POLE NO POLE x[1] = 0.867 y2[1] (analytic) = 1.6471166288943127501017629052209 y2[1] (numeric) = 1.5545117918319549193972155889192 absolute error = 0.0926048370623578307045473163017 relative error = 5.6222392171780946008458407787627 % h = 0.001 y1[1] (analytic) = 0.23760897919213377401727663990728 y1[1] (numeric) = 0.25504301141637976905622494572735 absolute error = 0.01743403222424599503894830582007 relative error = 7.3372783652879570706658407763851 % h = 0.001 TOP MAIN SOLVE Loop memory used=4268.7MB, alloc=4.4MB, time=410.23 NO POLE NO POLE x[1] = 0.868 y2[1] (analytic) = 1.6463539144422825636927629697972 y2[1] (numeric) = 1.5533766460260185461047511543044 absolute error = 0.0929772684162640175880118154928 relative error = 5.6474654447407146404943454183114 % h = 0.001 y1[1] (analytic) = 0.23696224386657086499856009629705 y1[1] (numeric) = 0.25448906705929368117758770360559 absolute error = 0.01752682319272281617902760730854 relative error = 7.3964623674781928283312438788903 % h = 0.001 TOP MAIN SOLVE Loop memory used=4272.5MB, alloc=4.4MB, time=410.50 memory used=4276.3MB, alloc=4.4MB, time=410.77 NO POLE NO POLE x[1] = 0.869 y2[1] (analytic) = 1.6455905536363917978256074376496 y2[1] (numeric) = 1.5522398420116409947177027674925 absolute error = 0.0933507116247508031079046701571 relative error = 5.6727787734601624371875024898049 % h = 0.001 y1[1] (analytic) = 0.23631627157870050293142031765021 y1[1] (numeric) = 0.25393625867706388743871464183594 absolute error = 0.01761998709836338450729432418573 relative error = 7.4561040510049656568246135910624 % h = 0.001 TOP MAIN SOLVE Loop memory used=4280.1MB, alloc=4.4MB, time=411.04 NO POLE NO POLE x[1] = 0.87 y2[1] (analytic) = 1.6448265472400011947776638054828 y2[1] (numeric) = 1.5511013791428500311968501957952 absolute error = 0.0937251680971511635808136096876 relative error = 5.6981794374866363857556659264298 % h = 0.001 y1[1] (analytic) = 0.23567106297449492185519717627715 y1[1] (numeric) = 0.25338458792822187874811623591202 absolute error = 0.01771352495372695689291905963487 relative error = 7.5162070091074233259248527444286 % h = 0.001 TOP MAIN SOLVE Loop memory used=4283.9MB, alloc=4.4MB, time=411.31 NO POLE NO POLE memory used=4287.7MB, alloc=4.4MB, time=411.58 x[1] = 0.871 y2[1] (analytic) = 1.6440618960171170872723375442638 y2[1] (numeric) = 1.5499612567744371051041139954556 absolute error = 0.0941006392426799821682235488082 relative error = 5.723667671554639386746359515001 % h = 0.001 y1[1] (analytic) = 0.23502661869916267220808985684866 y1[1] (numeric) = 0.2528340564719447364603408158617 absolute error = 0.01780743777278206425225095901304 relative error = 7.5767748654784636502665527867862 % h = 0.001 TOP MAIN SOLVE Loop memory used=4291.5MB, alloc=4.4MB, time=411.86 NO POLE NO POLE x[1] = 0.872 y2[1] (analytic) = 1.6432966007323906344728030430074 y2[1] (numeric) = 1.5488194742619579948110521823503 absolute error = 0.0944771264704326396617508606571 relative error = 5.749243710984719202211101077764 % h = 0.001 y1[1] (analytic) = 0.23438293939714797561866018557423 y1[1] (numeric) = 0.25228466596805436836970550993264 absolute error = 0.01790172657090639275104532435841 relative error = 7.6378112745539810355310891416671 % h = 0.001 TOP MAIN SOLVE Loop memory used=4295.4MB, alloc=4.4MB, time=412.12 NO POLE NO POLE x[1] = 0.873 y2[1] (analytic) = 1.6425306621511170573309081665308 y2[1] (numeric) = 1.5476760309617334519430281567478 absolute error = 0.094854631189383605387880009783 relative error = 5.7749077916852144991806540434246 % h = 0.001 y1[1] (analytic) = 0.2337400257121300804616647053235 y1[1] (numeric) = 0.25173641807701674405920080224455 absolute error = 0.01799639236488666359753609692105 relative error = 7.6993199218052151929835884522423 % h = 0.001 TOP MAIN SOLVE Loop memory used=4299.2MB, alloc=4.4MB, time=412.39 memory used=4303.0MB, alloc=4.4MB, time=412.67 NO POLE NO POLE x[1] = 0.874 y2[1] (analytic) = 1.6417640810392348732920170782044 y2[1] (numeric) = 1.5465309262308498450584054380098 absolute error = 0.0952331548083850282336116401946 relative error = 5.8006601501540066019752437325285 % h = 0.001 y1[1] (analytic) = 0.23309787828702261817885994080533 y1[1] (numeric) = 0.25118931445994112960533335543995 absolute error = 0.01809143617291851142647341463462 relative error = 7.7613045240342393750817572378177 % h = 0.001 TOP MAIN SOLVE Loop memory used=4306.8MB, alloc=4.4MB, time=412.94 NO POLE NO POLE x[1] = 0.875 y2[1] (analytic) = 1.640996858163325130356556622796 y2[1] (numeric) = 1.5453841594271598025621255300933 absolute error = 0.0956126987361653277944310927027 relative error = 5.8265010234802769745830814097212 % h = 0.001 y1[1] (analytic) = 0.23245649776397296036542453294546 y1[1] (numeric) = 0.25064335677857932163967239342674 absolute error = 0.01818685901460636127424786048128 relative error = 7.8237688296726259856056295663596 % h = 0.001 TOP MAIN SOLVE Loop memory used=4310.6MB, alloc=4.4MB, time=413.21 memory used=4314.4MB, alloc=4.4MB, time=413.50 NO POLE NO POLE x[1] = 0.876 y2[1] (analytic) = 1.6402289942906106404990322077955 y2[1] (numeric) = 1.5442357299092828548530260043301 absolute error = 0.0959932643813277856460062034654 relative error = 5.8524306493462704544277393259226 % h = 0.001 y1[1] (analytic) = 0.231815884784361576622641155987 y1[1] (numeric) = 0.25009854669532488076786558260244 absolute error = 0.01828266191096330414522442661544 relative error = 7.8867166190833279258907795188856 % h = 0.001 TOP MAIN SOLVE Loop memory used=4318.3MB, alloc=4.4MB, time=413.77 NO POLE NO POLE x[1] = 0.877 y2[1] (analytic) = 1.6394604901889552124452797641414 y2[1] (numeric) = 1.5430856370366060757042566522184 absolute error = 0.096374853152349136741023111923 relative error = 5.8784492660290642589325165465849 % h = 0.001 y1[1] (analytic) = 0.23117603998880139317748036457849 y1[1] (numeric) = 0.24955488587321236434689099248032 absolute error = 0.01837884588441097116941062790183 relative error = 7.9501517048658145544116042998178 % h = 0.001 TOP MAIN SOLVE Loop memory used=4322.1MB, alloc=4.4MB, time=414.04 memory used=4325.9MB, alloc=4.4MB, time=414.32 NO POLE NO POLE x[1] = 0.878 y2[1] (analytic) = 1.6386913466268628838087210090344 y2[1] (numeric) = 1.5419338801692847228761523278643 absolute error = 0.0967574664575781609325686811701 relative error = 5.9045571124023427863779303049689 % h = 0.001 y1[1] (analytic) = 0.23053696401713715226972775121205 y1[1] (numeric) = 0.24901237597591655862131235840155 absolute error = 0.0184754119587794063515846071895 relative error = 8.0140779321645016602781875201268 % h = 0.001 TOP MAIN SOLVE Loop memory used=4329.7MB, alloc=4.4MB, time=414.59 NO POLE NO POLE x[1] = 0.879 y2[1] (analytic) = 1.6379215643734771525863898745154 y2[1] (numeric) = 1.5407804586682428779609218672535 absolute error = 0.0971411057052342746254680072619 relative error = 5.9307544279381782326368629108641 % h = 0.001 y1[1] (analytic) = 0.22989865750844477230729502683122 y1[1] (numeric) = 0.24847101866775171021930551001403 absolute error = 0.01857236115930693791201048318281 relative error = 8.0784991789805153823044314709586 % h = 0.001 TOP MAIN SOLVE Loop memory used=4333.5MB, alloc=4.4MB, time=414.86 memory used=4337.3MB, alloc=4.4MB, time=415.14 NO POLE NO POLE x[1] = 0.88 y2[1] (analytic) = 1.6371511441985802080154986057221 y2[1] (numeric) = 1.5396253718951740854585132397179 absolute error = 0.0975257723034061225569853660042 relative error = 5.9570414527088170454606918757116 % h = 0.001 y1[1] (analytic) = 0.22926112110103070879035486924401 y1[1] (numeric) = 0.24793081561367075700922446942751 absolute error = 0.0186696945126400482188696001835 relative error = 8.1434193564868305443032357635891 % h = 0.001 TOP MAIN SOLVE Loop memory used=4341.1MB, alloc=4.4MB, time=415.41 NO POLE NO POLE x[1] = 0.881 y2[1] (analytic) = 1.6363800868725921607913126721897 y2[1] (numeric) = 1.5384686192125419910830158557845 absolute error = 0.0979114676600501697082968164052 relative error = 5.9834184273884722380789328834382 % h = 0.001 y1[1] (analytic) = 0.22862435543243131600493861515303 y1[1] (numeric) = 0.24739176847926455831747636241483 absolute error = 0.0187674130468332423125377472618 relative error = 8.2088424093468244242953749457243 % h = 0.001 TOP MAIN SOLVE Loop memory used=4345.0MB, alloc=4.4MB, time=415.68 memory used=4348.8MB, alloc=4.4MB, time=415.96 NO POLE NO POLE x[1] = 0.882 y2[1] (analytic) = 1.6356083931665702726471042742594 y2[1] (numeric) = 1.5373101999835809792989617250584 absolute error = 0.098298193182989293348142549201 relative error = 6.0098855932551215839645335552277 % h = 0.001 y1[1] (analytic) = 0.22798836113941220948663510215197 y1[1] (numeric) = 0.24685387893076112450847492472012 absolute error = 0.01886551779134891502183982256815 relative error = 8.2747723160362875305135537893899 % h = 0.001 TOP MAIN SOLVE Loop memory used=4352.6MB, alloc=4.4MB, time=416.23 NO POLE NO POLE x[1] = 0.883 y2[1] (analytic) = 1.6348360638522081852969548645758 y2[1] (numeric) = 1.5361501135722968100868879278913 absolute error = 0.0986859502799113752100669366845 relative error = 6.036443192192311714706972646742 % h = 0.001 y1[1] (analytic) = 0.22735313885796762925502819693626 y1[1] (numeric) = 0.24631714863502484592744302345633 absolute error = 0.01896400977705721667241482652007 relative error = 8.3412130891689335205753907144595 % h = 0.001 TOP MAIN SOLVE Loop memory used=4356.4MB, alloc=4.4MB, time=416.50 NO POLE NO POLE x[1] = 0.884 y2[1] (analytic) = 1.6340630997018351487421777418069 y2[1] (numeric) = 1.5349883593434672549375236353261 absolute error = 0.0990747403583678938046541064808 relative error = 6.0630914666909681430257464115459 % h = 0.001 y1[1] (analytic) = 0.2267186892233198038195097752374 y1[1] (numeric) = 0.24578157925955572120683525072529 absolute error = 0.01906289003623591738732547548789 relative error = 8.4081687758254509721246675507775 % h = 0.001 TOP MAIN SOLVE Loop memory used=4360.2MB, alloc=4.4MB, time=416.77 memory used=4364.0MB, alloc=4.4MB, time=417.05 NO POLE NO POLE x[1] = 0.885 y2[1] (analytic) = 1.6332895014884152489421324100994 y2[1] (numeric) = 1.5338249366626427320739656831838 absolute error = 0.0994645648257725168681667269156 relative error = 6.0898306598512112330476634083303 % h = 0.001 y1[1] (analytic) = 0.22608501286991831495710414761512 y1[1] (numeric) = 0.24524717247248858493715228297341 absolute error = 0.01916215960257026998004813535829 relative error = 8.4756434578861402937373790186664 % h = 0.001 TOP MAIN SOLVE Loop memory used=4367.8MB, alloc=4.4MB, time=417.32 NO POLE NO POLE x[1] = 0.886 y2[1] (analytic) = 1.6325152699855466348502030333909 y2[1] (numeric) = 1.5326598448961469409012074781699 absolute error = 0.099855425089399693948995555221 relative error = 6.1166610153841781400626230772494 % h = 0.001 y1[1] (analytic) = 0.22545211043143946326293915322968 y1[1] (numeric) = 0.24471392994259233470291933520428 absolute error = 0.0192618195111528714399801819746 relative error = 8.5436412523671796540986772413687 % h = 0.001 TOP MAIN SOLVE Loop memory used=4371.7MB, alloc=4.4MB, time=417.60 memory used=4375.5MB, alloc=4.4MB, time=417.87 NO POLE NO POLE x[1] = 0.887 y2[1] (analytic) = 1.6317404059674607448157139485358 y2[1] (numeric) = 1.5314930834110774956823867865244 absolute error = 0.1002473225563832491333271620114 relative error = 6.1435827776138507420642240282293 % h = 0.001 y1[1] (analytic) = 0.22481998254078563447399837107075 y1[1] (numeric) = 0.24418185333926915748460167400531 absolute error = 0.01936187079848352301060330293456 relative error = 8.6121663117605644055220101034126 % h = 0.001 TOP MAIN SOLVE Loop memory used=4379.3MB, alloc=4.4MB, time=418.14 NO POLE NO POLE x[1] = 0.888 y2[1] (analytic) = 1.6309649102090215323525558352659 y2[1] (numeric) = 1.5303246515753065584411187290205 absolute error = 0.1006402586337149739114371062454 relative error = 6.1705961914788895854736372490994 % h = 0.001 y1[1] (analytic) = 0.22418862983008466656678812483747 y1[1] (numeric) = 0.24365094433255375542723078740843 absolute error = 0.01946231450246908886044266257096 relative error = 8.6812228243777650849484362688386 % h = 0.001 TOP MAIN SOLVE Loop memory used=4383.1MB, alloc=4.4MB, time=418.41 memory used=4386.9MB, alloc=4.4MB, time=418.69 NO POLE NO POLE x[1] = 0.889 y2[1] (analytic) = 1.630188783485724691275296774293 y2[1] (numeric) = 1.529154548757481471089281080031 absolute error = 0.101034234728243220186015694262 relative error = 6.1977015025344738675376894421706 % h = 0.001 y1[1] (analytic) = 0.22355805293068921762955218375027 y1[1] (numeric) = 0.24312120459311257097651544289419 absolute error = 0.01956315166242335334696325914392 relative error = 8.7508150146971496917807168650744 % h = 0.001 TOP MAIN SOLVE Loop memory used=4390.7MB, alloc=4.4MB, time=418.96 NO POLE NO POLE x[1] = 0.89 y2[1] (analytic) = 1.6294120265736968802035530573802 y2[1] (numeric) = 1.5279827743270253867796197429313 absolute error = 0.1014292522466714934239333144489 relative error = 6.224898956954147477985034534868 % h = 0.001 y1[1] (analytic) = 0.22292825247317613450966628702682 y1[1] (numeric) = 0.24259263579224301138321249736357 absolute error = 0.01966438331906687687354621033675 relative error = 8.8209471437152165674244513545604 % h = 0.001 TOP MAIN SOLVE Loop memory used=4394.5MB, alloc=4.4MB, time=419.23 memory used=4398.4MB, alloc=4.4MB, time=419.50 NO POLE NO POLE x[1] = 0.891 y2[1] (analytic) = 1.6286346402496949464353952449452 y2[1] (numeric) = 1.5268093276541379004825430492841 absolute error = 0.1018253125955570459528521956611 relative error = 6.2521888015316711226176491942795 % h = 0.001 y1[1] (analytic) = 0.22229922908734582223684384457509 y1[1] (numeric) = 0.24206523960187267257653295464214 absolute error = 0.01976601051452685033968911006705 relative error = 8.8916235093016848363810762574849 % h = 0.001 TOP MAIN SOLVE Loop memory used=4402.2MB, alloc=4.4MB, time=419.77 NO POLE NO POLE x[1] = 0.892 y2[1] (analytic) = 1.6278566252911051491905655977243 y2[1] (numeric) = 1.5256342081097956787864743050662 absolute error = 0.1022224171813094704040912926581 relative error = 6.2795712836828805516086730297623 % h = 0.001 y1[1] (analytic) = 0.22167098340222161422278339064533 y1[1] (numeric) = 0.24153901769455856240735939704572 absolute error = 0.01986803429233694818457600640039 relative error = 8.9628484465584900133215824405551 % h = 0.001 TOP MAIN SOLVE Loop memory used=4406.0MB, alloc=4.4MB, time=420.04 memory used=4409.8MB, alloc=4.4MB, time=420.33 NO POLE NO POLE x[1] = 0.893 y2[1] (analytic) = 1.6270779824759423822242836392167 y2[1] (numeric) = 1.5244574150657530889211327836356 absolute error = 0.1026205674101892933031508555811 relative error = 6.3070466514475509153718282272752 % h = 0.001 y1[1] (analytic) = 0.22104351604604914323788759074086 y1[1] (numeric) = 0.24101397174348632326205154772556 absolute error = 0.0199704556974371800241639569847 relative error = 9.0346263281827330349247548358695 % h = 0.001 TOP MAIN SOLVE Loop memory used=4413.6MB, alloc=4.4MB, time=420.60 NO POLE NO POLE x[1] = 0.894 y2[1] (analytic) = 1.626298712582849395812417235037 y2[1] (numeric) = 1.5232789478945428270031141422113 absolute error = 0.1030197646883065688093030928257 relative error = 6.3346151534912672709622987685693 % h = 0.001 y1[1] (analytic) = 0.22041682764629571316568282501642 y1[1] (numeric) = 0.24049010342246945404761734992249 absolute error = 0.02007327577617374088193452490607 relative error = 9.1069615648336316395519008372526 % h = 0.001 TOP MAIN SOLVE Loop memory used=4417.4MB, alloc=4.4MB, time=420.87 NO POLE NO POLE x[1] = 0.895 y2[1] (analytic) = 1.6255188163910960181087972039415 y2[1] (numeric) = 1.5220988059694765455031420163373 absolute error = 0.1034200104216194726056551876042 relative error = 6.3622770391073012620640283068518 % h = 0.001 y1[1] (analytic) = 0.219790918829649671535567593692 y1[1] (numeric) = 0.23996741440594853154902757789428 absolute error = 0.02017649557629886001345998420228 relative error = 9.1798586055035236922166475316211 % h = 0.001 TOP MAIN SOLVE Loop memory used=4421.2MB, alloc=4.4MB, time=421.14 memory used=4425.1MB, alloc=4.4MB, time=421.41 NO POLE NO POLE x[1] = 0.896 y2[1] (analytic) = 1.6247382946805783758754541031468 y2[1] (numeric) = 1.520916988664645479934363325132 absolute error = 0.1038213060159328959410907780148 relative error = 6.3900325582184939957139103662905 % h = 0.001 y1[1] (analytic) = 0.21916579022201978283451721168161 y1[1] (numeric) = 0.23944590636899043115945262213664 absolute error = 0.02028011614697064832493541045503 relative error = 9.2533219378929727369616821891232 % h = 0.001 TOP MAIN SOLVE Loop memory used=4428.9MB, alloc=4.4MB, time=421.69 NO POLE NO POLE x[1] = 0.897 y2[1] (analytic) = 1.6239571482318181145865564576418 y2[1] (numeric) = 1.5197334953549210747610605990789 absolute error = 0.1042236528768970398254958585629 relative error = 6.4178819613791451390092969881757 % h = 0.001 y1[1] (analytic) = 0.2185414424485346025983714806799 y1[1] (numeric) = 0.23892558098728754698420071859616 absolute error = 0.02038413853875294438582923791626 relative error = 9.3273560887900267538455640204962 % h = 0.001 TOP MAIN SOLVE Loop memory used=4432.7MB, alloc=4.4MB, time=421.96 memory used=4436.5MB, alloc=4.4MB, time=422.23 NO POLE NO POLE x[1] = 0.898 y2[1] (analytic) = 1.6231753778259616179068303294869 y2[1] (numeric) = 1.5185483254159556085271554216999 absolute error = 0.104627052410006009379674907787 relative error = 6.4458254997769082591416444533344 % h = 0.001 y1[1] (analytic) = 0.21791787613354185228333124736692 y1[1] (numeric) = 0.23840643993715701131913751787196 absolute error = 0.02048856380361515903580627050504 relative error = 9.4019656244536818034463370328358 % h = 0.001 TOP MAIN SOLVE Loop memory used=4440.3MB, alloc=4.4MB, time=422.50 NO POLE NO POLE x[1] = 0.899 y2[1] (analytic) = 1.6223929842447792265452407486178 y2[1] (numeric) = 1.5173614782241828182038778566585 absolute error = 0.1050315060205964083413628919593 relative error = 6.4738634252346924301959494753918 % h = 0.001 y1[1] (analytic) = 0.21729509190060779491828897618233 y1[1] (numeric) = 0.23788848489553991350436751592143 absolute error = 0.0205933929949321185860785397391 relative error = 9.4771551510016029582821838458065 % h = 0.001 TOP MAIN SOLVE Loop memory used=4444.1MB, alloc=4.4MB, time=422.77 memory used=4448.0MB, alloc=4.4MB, time=423.05 NO POLE NO POLE x[1] = 0.9 y2[1] (analytic) = 1.6216099682706644564847161514071 y2[1] (numeric) = 1.5161729531568185227559775126762 absolute error = 0.1054370151138459337287386387309 relative error = 6.5019959902125701302529084981445 % h = 0.001 y1[1] (analytic) = 0.21667309037251661153861768428645 y1[1] (numeric) = 0.23737171754000051815395849252355 absolute error = 0.0206986271674839066153408082371 relative error = 9.5529293148021556480135719693045 % h = 0.001 TOP MAIN SOLVE Loop memory used=4451.8MB, alloc=4.4MB, time=423.33 NO POLE NO POLE x[1] = 0.901 y2[1] (analytic) = 1.6208263306866332165886975971928 y2[1] (numeric) = 1.514982749591861245925852680103 absolute error = 0.1058435810947719706628449170898 relative error = 6.5302234478096914524284586727893 % h = 0.001 y1[1] (analytic) = 0.2160518721712697784020418048673 y1[1] (numeric) = 0.23685613954872548276249072771021 absolute error = 0.02080426737745570436044892284291 relative error = 9.6292928028708012839103478244876 % h = 0.001 TOP MAIN SOLVE Loop memory used=4455.6MB, alloc=4.4MB, time=423.60 memory used=4459.4MB, alloc=4.4MB, time=423.88 NO POLE NO POLE x[1] = 0.902 y2[1] (analytic) = 1.6200420722763230255852951561612 y2[1] (numeric) = 1.5137908669080928382349747550642 absolute error = 0.106251205368230187350320401097 relative error = 6.5585460517662046535835339784273 % h = 0.001 y1[1] (analytic) = 0.21543143791808544498721276287073 y1[1] (numeric) = 0.23634175260052307468921338955108 absolute error = 0.02091031468243762970200062668035 relative error = 9.706250343270911778028482433246 % h = 0.001 TOP MAIN SOLVE Loop memory used=4463.2MB, alloc=4.4MB, time=424.15 NO POLE NO POLE x[1] = 0.903 y2[1] (analytic) = 1.619257193823992228429834484361 y2[1] (numeric) = 1.5125973044850790982019859498118 absolute error = 0.1066598893389131302278485345492 relative error = 6.586964056465183064535496034959 % h = 0.001 y1[1] (analytic) = 0.21481178823339781277561126452646 y1[1] (numeric) = 0.23582855837482238752059110907041 absolute error = 0.02101677014142457474497984454395 relative error = 9.7838067055190583340355475472354 % h = 0.001 TOP MAIN SOLVE Loop memory used=4467.0MB, alloc=4.4MB, time=424.42 memory used=4470.8MB, alloc=4.4MB, time=424.70 NO POLE NO POLE x[1] = 0.904 y2[1] (analytic) = 1.6184716961145192120465772232376 y2[1] (numeric) = 1.511402061703170392776849071234 absolute error = 0.1070696344113488192697281520036 relative error = 6.6154777169345583857017787081625 % h = 0.001 y1[1] (analytic) = 0.21419292373685651481739751871573 y1[1] (numeric) = 0.23531655855167255681202437968392 absolute error = 0.02112363481481604199462686096819 relative error = 9.8619667009948306598458798460597 % h = 0.001 TOP MAIN SOLVE Loop memory used=4474.7MB, alloc=4.4MB, time=424.97 NO POLE NO POLE x[1] = 0.905 y2[1] (analytic) = 1.6176855799334016204503994819018 y2[1] (numeric) = 1.5102051379435022769904289334246 absolute error = 0.1074804419898993434599705484772 relative error = 6.6440872888490603922058208998532 % h = 0.001 y1[1] (analytic) = 0.2135748450473259960818298242788 y1[1] (numeric) = 0.23480575481174197520952803936996 absolute error = 0.02123090976441597912769821509116 relative error = 9.9407351833552435373737172728894 % h = 0.001 TOP MAIN SOLVE Loop memory used=4478.5MB, alloc=4.4MB, time=425.25 NO POLE NO POLE memory used=4482.3MB, alloc=4.4MB, time=425.52 x[1] = 0.906 y2[1] (analytic) = 1.6168988460667555692492132803878 y2[1] (numeric) = 1.5090065325879961128188857547826 absolute error = 0.1078923134787594564303275256052 relative error = 6.6727930285321630725753552426124 % h = 0.001 y1[1] (analytic) = 0.21295755278288489459287117279202 y1[1] (numeric) = 0.23429614883631750695215271383106 absolute error = 0.02133859605343261235928154103904 relative error = 10.020117048953788481986945694035 % h = 0.001 TOP MAIN SOLVE Loop memory used=4486.1MB, alloc=4.4MB, time=425.79 NO POLE NO POLE x[1] = 0.907 y2[1] (analytic) = 1.6161114953013148595279164514162 y2[1] (numeric) = 1.5078062450193596872622616753008 absolute error = 0.1083052502819551722656547761154 relative error = 6.7015951929580372252635740821822 % h = 0.001 y1[1] (analytic) = 0.21234104756082542335060273115629 y1[1] (numeric) = 0.23378774230730370175593471815906 absolute error = 0.02144669474647827840533198700277 relative error = 10.100117237264189033850764775744 % h = 0.001 TOP MAIN SOLVE Loop memory used=4489.9MB, alloc=4.4MB, time=426.06 NO POLE NO POLE x[1] = 0.908 y2[1] (analytic) = 1.6153235284244301911146571166434 y2[1] (numeric) = 1.5066042746210878296366423155076 absolute error = 0.1087192538033423614780148011358 relative error = 6.7304940397535095373246104464277 % h = 0.001 y1[1] (analytic) = 0.21172532999765275303906228253193 y1[1] (numeric) = 0.23328053690722200808016053298826 absolute error = 0.02155520690956925504109825045633 relative error = 10.180740731308919045498640814989 % h = 0.001 TOP MAIN SOLVE Loop memory used=4493.7MB, alloc=4.4MB, time=426.33 memory used=4497.5MB, alloc=4.4MB, time=426.61 NO POLE NO POLE x[1] = 0.909 y2[1] (analytic) = 1.6145349462240683752301994710699 y2[1] (numeric) = 1.5054006207774630280792760849521 absolute error = 0.1091343254466053471509233861178 relative error = 6.7594898272000281696761529972623 % h = 0.001 y1[1] (analytic) = 0.21111040070908439552112491773005 y1[1] (numeric) = 0.23277453431920998577673258880668 absolute error = 0.02166413361012559025560767107663 relative error = 10.261992558092544164870290837982 % h = 0.001 TOP MAIN SOLVE Loop memory used=4501.4MB, alloc=4.4MB, time=426.88 NO POLE NO POLE x[1] = 0.91 y2[1] (analytic) = 1.6137457494888115465211782261747 y2[1] (numeric) = 1.5041952828735560452660347351648 absolute error = 0.1095504666152555012551434910099 relative error = 6.7885828142356348734838625813957 % h = 0.001 y1[1] (analytic) = 0.21049626031004958812104248212845 y1[1] (numeric) = 0.23226973622702051812342370899398 absolute error = 0.02177347591697093000238122686553 relative error = 10.34387778903994756093000126143 % h = 0.001 TOP MAIN SOLVE Loop memory used=4505.2MB, alloc=4.4MB, time=427.15 memory used=4509.0MB, alloc=4.4MB, time=427.43 NO POLE NO POLE x[1] = 0.911 y2[1] (analytic) = 1.6129559390078563744780296784564 y2[1] (numeric) = 1.5029882602952265333405994396845 absolute error = 0.1099676787126298411374302387719 relative error = 6.817773260456943662304576292209 % h = 0.001 y1[1] (analytic) = 0.20988290941468867869525749552114 y1[1] (numeric) = 0.23176614431502102324180817826592 absolute error = 0.02188323490033234454655068274478 relative error = 10.426401540439501800044204226916 % h = 0.001 TOP MAIN SOLVE Loop memory used=4512.8MB, alloc=4.4MB, time=427.69 NO POLE NO POLE x[1] = 0.912 y2[1] (analytic) = 1.612165515571013274238387985384 y2[1] (numeric) = 1.5017795524291236480547574720163 absolute error = 0.1103859631418896261836305133677 relative error = 6.8470614261211260647280752949299 % h = 0.001 y1[1] (analytic) = 0.20927034863635251149210647403642 y1[1] (numeric) = 0.23126376026819266490065801852861 absolute error = 0.02199341163184015340855154449219 relative error = 10.50956897389124965577988792971 % h = 0.001 TOP MAIN SOLVE Loop memory used=4516.6MB, alloc=4.4MB, time=427.96 memory used=4520.4MB, alloc=4.4MB, time=428.24 NO POLE NO POLE x[1] = 0.913 y2[1] (analytic) = 1.6113744799687056167767358452946 y2[1] (numeric) = 1.5005691586626866621191953412759 absolute error = 0.1108053213060189546575405040187 relative error = 6.8764475721479029823604574307385 % h = 0.001 y1[1] (analytic) = 0.2086585785876018138010267943691 y1[1] (numeric) = 0.23076258577212956270559366868047 absolute error = 0.02210400718452774890456687431137 relative error = 10.593385296760157522914252673218 % h = 0.001 TOP MAIN SOLVE Loop memory used=4524.2MB, alloc=4.4MB, time=428.50 NO POLE NO POLE x[1] = 0.914 y2[1] (analytic) = 1.6105828329919689384810993915234 y2[1] (numeric) = 1.4993570783841455777641750347775 absolute error = 0.1112257546078233607169243567459 relative error = 6.9059319601215431780958971959143 % h = 0.001 y1[1] (analytic) = 0.20804759988020658339188045106857 y1[1] (numeric) = 0.23026262251303800167577887864544 absolute error = 0.02221502263283141828389842757687 relative error = 10.677855762634506008454450913351 % h = 0.001 TOP MAIN SOLVE Loop memory used=4528.1MB, alloc=4.4MB, time=428.77 memory used=4531.9MB, alloc=4.4MB, time=429.05 NO POLE NO POLE x[1] = 0.915 y2[1] (analytic) = 1.609790575432450150117577724003 y2[1] (numeric) = 1.4981433109825217385094808069403 absolute error = 0.1116472644499284116080969170627 relative error = 6.9355148522928684197277964949614 % h = 0.001 y1[1] (analytic) = 0.20743741312514547674500726750837 y1[1] (numeric) = 0.22976387217773564120845024087669 absolute error = 0.02232645905259016446344297336832 relative error = 10.762985671789483188592021950399 % h = 0.001 TOP MAIN SOLVE Loop memory used=4535.7MB, alloc=4.4MB, time=429.32 NO POLE NO POLE x[1] = 0.916 y2[1] (analytic) = 1.6089977080824067451834981137382 y2[1] (numeric) = 1.4969278558476284401430247446178 absolute error = 0.1120698522347783050404733691204 relative error = 6.9651965115812653040550320123019 % h = 0.001 y1[1] (analytic) = 0.20682801893260519807261933043264 y1[1] (numeric) = 0.22926633645365072343207239473529 absolute error = 0.02243831752104552535945306430265 relative error = 10.848780371656046951001938282018 % h = 0.001 TOP MAIN SOLVE Loop memory used=4539.5MB, alloc=4.4MB, time=429.59 NO POLE NO POLE memory used=4543.3MB, alloc=4.4MB, time=429.86 x[1] = 0.917 y2[1] (analytic) = 1.6082042317347060076499885269339 y2[1] (numeric) = 1.4957107123700715409075001302957 absolute error = 0.1124935193646344667424883966382 relative error = 6.9949772015767037867441915673273 % h = 0.001 y1[1] (analytic) = 0.20621941791197988913214762663437 y1[1] (numeric) = 0.22877001702882128094891055052277 absolute error = 0.0225505991168413918167629238884 relative error = 10.935245257295123786987731858079 % h = 0.001 TOP MAIN SOLVE Loop memory used=4547.1MB, alloc=4.4MB, time=430.14 NO POLE NO POLE x[1] = 0.918 y2[1] (analytic) = 1.6074101471828242190947597261393 y2[1] (numeric) = 1.4944918799412500708944724165547 absolute error = 0.1129182672415741482002873095846 relative error = 7.0248571865417624433143648593088 % h = 0.001 y1[1] (analytic) = 0.20561161067187051983215106836788 y1[1] (numeric) = 0.22827491559189434396781259052896 absolute error = 0.02266330492002382413566152216108 relative error = 11.02238577187721235792328968625 % h = 0.001 TOP MAIN SOLVE Loop memory used=4551.0MB, alloc=4.4MB, time=430.41 NO POLE NO POLE x[1] = 0.919 y2[1] (analytic) = 1.6066154552208458652258898155579 y2[1] (numeric) = 1.4932713579533568406452984177597 absolute error = 0.1133440972674890245805913977982 relative error = 7.0548367314136604867172160302445 % h = 0.001 y1[1] (analytic) = 0.20500459782008427963139730153571 y1[1] (numeric) = 0.22778103383212514682799361424697 absolute error = 0.02277643601204086719659631271126 relative error = 11.11020740716746113550463210914 % h = 0.001 TOP MAIN SOLVE Loop memory used=4554.8MB, alloc=4.4MB, time=430.68 memory used=4558.6MB, alloc=4.4MB, time=430.96 NO POLE NO POLE x[1] = 0.92 y2[1] (analytic) = 1.6058201566434628417974047066744 y2[1] (numeric) = 1.4920491457993790489582651181054 absolute error = 0.113771010844083792839139588569 relative error = 7.0849161018062965670917189497384 % h = 0.001 y1[1] (analytic) = 0.20439837996363396973172389751838 y1[1] (numeric) = 0.22728837343937633391461640390462 absolute error = 0.02288999347574236418289250638624 relative error = 11.198715704016290405762149278687 % h = 0.001 TOP MAIN SOLVE Loop memory used=4562.4MB, alloc=4.4MB, time=431.23 NO POLE NO POLE x[1] = 0.921 y2[1] (analytic) = 1.6050242522459736599174485885512 y2[1] (numeric) = 1.4908252428730988899013402889307 absolute error = 0.1141990093728747700161082996205 relative error = 7.1150955640122943793800835415406 % h = 0.001 y1[1] (analytic) = 0.20379295770873739606528773573527 y1[1] (numeric) = 0.2267969361041171649669618946657 absolute error = 0.02300397839537976890167415893043 relative error = 11.287916252855629932861108037061 % h = 0.001 TOP MAIN SOLVE Loop memory used=4566.2MB, alloc=4.4MB, time=431.50 memory used=4570.0MB, alloc=4.4MB, time=431.78 NO POLE NO POLE x[1] = 0.922 y2[1] (analytic) = 1.6042277428242826507498390945582 y2[1] (numeric) = 1.4895996485690941590299279026024 absolute error = 0.1146280942551884917199111919558 relative error = 7.1453753850050551045990453278138 % h = 0.001 y1[1] (analytic) = 0.20318833166081676307680958963652 y1[1] (numeric) = 0.22630672351742271977998434126434 absolute error = 0.02311839185660595670317475162782 relative error = 11.377814694200844600706488820242 % h = 0.001 TOP MAIN SOLVE Loop memory used=4573.8MB, alloc=4.4MB, time=432.05 NO POLE NO POLE x[1] = 0.923 y2[1] (analytic) = 1.6034306291748991696098024639136 y2[1] (numeric) = 1.4883723622827388588090221252623 absolute error = 0.1150582668921603108007803386513 relative error = 7.175755832440816710668833178244 % h = 0.001 y1[1] (analytic) = 0.20258450242449806830142013383096 y1[1] (numeric) = 0.22581773737097310230004647945108 absolute error = 0.02323323494647503399862634562012 relative error = 11.468416719158421388543208474692 % h = 0.001 TOP MAIN SOLVE Loop memory used=4577.7MB, alloc=4.4MB, time=432.32 memory used=4581.5MB, alloc=4.4MB, time=432.59 NO POLE NO POLE x[1] = 0.924 y2[1] (analytic) = 1.6026329120949367994546846022351 y2[1] (numeric) = 1.4871433834102038032391544663352 absolute error = 0.1154895286847329962155301358999 relative error = 7.206237174660720138810774544735 % h = 0.001 y1[1] (analytic) = 0.20198147060361049773871279445357 y1[1] (numeric) = 0.2253299793570526441156305864491 absolute error = 0.02334850875344214637691779199553 relative error = 11.55972806993949209138557409586 % h = 0.001 TOP MAIN SOLVE Loop memory used=4585.3MB, alloc=4.4MB, time=432.86 NO POLE NO POLE x[1] = 0.925 y2[1] (analytic) = 1.6018345923821125537704345503238 y2[1] (numeric) = 1.4859127113484572216855294589 absolute error = 0.1159218810336553320849050914238 relative error = 7.2368196806928824016336457806337 % h = 0.001 y1[1] (analytic) = 0.20137923680118582202360806866915 y1[1] (numeric) = 0.22484345116854910734382194964326 absolute error = 0.02346421436736328532021388097411 relative error = 11.651754540379267267506751483706 % h = 0.001 TOP MAIN SOLVE Loop memory used=4589.1MB, alloc=4.4MB, time=433.14 memory used=4592.9MB, alloc=4.4MB, time=433.42 NO POLE NO POLE x[1] = 0.926 y2[1] (analytic) = 1.6010356708347460788546574746306 y2[1] (numeric) = 1.4846803454952653619097450418394 absolute error = 0.1163553253394807169449124327912 relative error = 7.2675036202544766191385300418672 % h = 0.001 y1[1] (analytic) = 0.20077780161945779339463314239777 y1[1] (numeric) = 0.22435815449895288691336185695199 absolute error = 0.02358035287949509351872871455422 relative error = 11.744501976462457983661896788278 % h = 0.001 TOP MAIN SOLVE Loop memory used=4596.7MB, alloc=4.4MB, time=433.69 NO POLE NO POLE x[1] = 0.927 y2[1] (analytic) = 1.6002361482517588554970348962863 y2[1] (numeric) = 1.4834462852491930923034946120975 absolute error = 0.1167898630025657631935402841888 relative error = 7.2982892637538190189821093164723 % h = 0.001 y1[1] (analytic) = 0.20017716565986154346021983793189 y1[1] (numeric) = 0.22387409104235621224506782576255 absolute error = 0.02369692538249466878484798783066 relative error = 11.837976276854763034504700556843 % h = 0.001 TOP MAIN SOLVE Loop memory used=4600.5MB, alloc=4.4MB, time=433.96 NO POLE NO POLE memory used=4604.4MB, alloc=4.4MB, time=434.23 x[1] = 0.928 y2[1] (analytic) = 1.5994360254326734000579104782075 y2[1] (numeric) = 1.482210530009604503323648513394 absolute error = 0.1172254954230688967342619648135 relative error = 7.3291768822924629274489929123835 % h = 0.001 y1[1] (analytic) = 0.19957732952303298176362312509717 y1[1] (numeric) = 0.22339126249345234833041938994298 absolute error = 0.02381393297041936656679626484581 relative error = 11.9321833934405004360893842969 % h = 0.001 TOP MAIN SOLVE Loop memory used=4608.2MB, alloc=4.4MB, time=434.51 NO POLE NO POLE x[1] = 0.929 y2[1] (analytic) = 1.5986353031776124649458402916272 y2[1] (numeric) = 1.4809730791766635081281135263627 absolute error = 0.1176622240009489568177267652645 relative error = 7.3601667476672997776948748501824 % h = 0.001 y1[1] (analytic) = 0.19897829380880819514706163098832 y1[1] (numeric) = 0.22290967054753479620910836627827 absolute error = 0.02393137673872660106204673528995 relative error = 12.027129331866463134737386878187 % h = 0.001 TOP MAIN SOLVE Loop memory used=4612.0MB, alloc=4.4MB, time=434.78 NO POLE NO POLE x[1] = 0.93 y2[1] (analytic) = 1.597833982287298238494907084433 y2[1] (numeric) = 1.4797339321513344424118697243062 absolute error = 0.1181000501359637960830373601268 relative error = 7.3912591323726671619340196697635 % h = 0.001 y1[1] (analytic) = 0.19838005911622284791568078408935 y1[1] (numeric) = 0.22242931690049649284635312271399 absolute error = 0.02404925778427364493067233862464 relative error = 12.122820152092080032204677652241 % h = 0.001 TOP MAIN SOLVE Loop memory used=4615.8MB, alloc=4.4MB, time=435.05 memory used=4619.6MB, alloc=4.4MB, time=435.33 NO POLE NO POLE x[1] = 0.931 y2[1] (analytic) = 1.5970320635630515442425986739304 y2[1] (numeric) = 1.4784930883353826634425848585786 absolute error = 0.1185389752276688808000138153518 relative error = 7.422454309602463954356802795547 % h = 0.001 y1[1] (analytic) = 0.19778262604351158280193842876516 y1[1] (numeric) = 0.22195020324882901041077697102629 absolute error = 0.02416757720531742760883854226113 relative error = 12.219261968945964606332432301354 % h = 0.001 TOP MAIN SOLVE Loop memory used=4623.4MB, alloc=4.4MB, time=435.60 NO POLE NO POLE x[1] = 0.932 y2[1] (analytic) = 1.5962295478067910396090511860886 y2[1] (numeric) = 1.4772505471313751482952072380324 absolute error = 0.1189790006754158913138439480562 relative error = 7.4537525532522725316757804554716 % h = 0.001 y1[1] (analytic) = 0.19718599518810742273101194568898 y1[1] (numeric) = 0.22147233128962175495365140597326 absolute error = 0.02428633610151433222263946028428 relative error = 12.316460952688934603527428442392 % h = 0.001 TOP MAIN SOLVE Loop memory used=4627.2MB, alloc=4.4MB, time=435.87 memory used=4631.1MB, alloc=4.4MB, time=436.14 NO POLE NO POLE x[1] = 0.933 y2[1] (analytic) = 1.5954264358210324139784584619569 y2[1] (numeric) = 1.476006307942681091284938867987 absolute error = 0.1194201278783513226935195939699 relative error = 7.4851541379214881183120378705274 % h = 0.001 y1[1] (analytic) = 0.19659016714664117338782511274851 y1[1] (numeric) = 0.22099570272056116449030551161761 absolute error = 0.0244055355739199911024803988691 relative error = 12.414423329583587495831934907861 % h = 0.001 TOP MAIN SOLVE Loop memory used=4634.9MB, alloc=4.4MB, time=436.41 NO POLE NO POLE x[1] = 0.934 y2[1] (analytic) = 1.5946227284088875861834495497756 y2[1] (numeric) = 1.4747603701734725005979914157941 absolute error = 0.1198623582354150855854581339815 relative error = 7.5166593389154552833473656959633 % h = 0.001 y1[1] (analytic) = 0.19599514251494082658629213935434 y1[1] (numeric) = 0.22052031923992990648450345334437 absolute error = 0.02452517672498907989821131399003 relative error = 12.513155382470517631345436561935 % h = 0.001 TOP MAIN SOLVE Loop memory used=4638.7MB, alloc=4.4MB, time=436.68 memory used=4642.5MB, alloc=4.4MB, time=436.96 NO POLE NO POLE x[1] = 0.935 y2[1] (analytic) = 1.5938184263740639013932367983387 y2[1] (numeric) = 1.4735127332287247941195283722953 absolute error = 0.1203056931453391072737084260434 relative error = 7.5482684322476116164821461876158 % h = 0.001 y1[1] (analytic) = 0.19540092188803096444137550485671 y1[1] (numeric) = 0.22004618254660607473659257112934 absolute error = 0.02464526065857511029521706627263 relative error = 12.612663451351262262698124125395 % h = 0.001 TOP MAIN SOLVE Loop memory used=4646.3MB, alloc=4.4MB, time=437.23 NO POLE NO POLE x[1] = 0.936 y2[1] (analytic) = 1.5930135305208633274063376633907 y2[1] (numeric) = 1.4722633965142173944581975812784 absolute error = 0.1207501340066459329481400821123 relative error = 7.5799816946416386103536949881176 % h = 0.001 y1[1] (analytic) = 0.19480750586013216434455342896323 y1[1] (numeric) = 0.21957329434006238567622518584322 absolute error = 0.02476578847993022133167175687999 relative error = 12.712953933978064914501203197243 % h = 0.001 TOP MAIN SOLVE Loop memory used=4650.1MB, alloc=4.4MB, time=437.50 memory used=4653.9MB, alloc=4.4MB, time=437.78 NO POLE NO POLE x[1] = 0.937 y2[1] (analytic) = 1.5922080416541816503486739342715 y2[1] (numeric) = 1.4710123594365343231666591124497 absolute error = 0.1211956822176473271820148218218 relative error = 7.611799403533619776685204494128 % h = 0.001 y1[1] (analytic) = 0.19421489502466040474329199864048 y1[1] (numeric) = 0.21910165632036537406045782580262 absolute error = 0.02488676129570496931716582716214 relative error = 12.814033286450545847571042980308 % h = 0.001 TOP MAIN SOLVE Loop memory used=4657.8MB, alloc=4.4MB, time=438.06 NO POLE NO POLE x[1] = 0.938 y2[1] (analytic) = 1.5914019605795076697778526826406 y2[1] (numeric) = 1.4697596214030647941575142574439 absolute error = 0.1216423391764428756203384251967 relative error = 7.643721837074206023851373207078 % h = 0.001 y1[1] (analytic) = 0.19362308997422647172511617197774 y1[1] (numeric) = 0.21863127018817458807803217540173 absolute error = 0.02500818021394811635291600342399 relative error = 12.915908023819370695609226151362 % h = 0.001 TOP MAIN SOLVE Loop memory used=4661.6MB, alloc=4.4MB, time=438.33 NO POLE NO POLE memory used=4665.4MB, alloc=4.4MB, time=438.60 x[1] = 0.939 y2[1] (analytic) = 1.590595288102922393194433828935 y2[1] (numeric) = 1.4685051818220038063140422329926 absolute error = 0.1220901062809185868803915959424 relative error = 7.6757492741307883235632850332498 % h = 0.001 y1[1] (analytic) = 0.19303209130063536640687307489267 y1[1] (numeric) = 0.21816213764474178386064264147665 absolute error = 0.02513004634410641745376956658398 relative error = 13.018584720697009689291982954748 % h = 0.001 TOP MAIN SOLVE Loop memory used=4669.2MB, alloc=4.4MB, time=438.87 NO POLE NO POLE x[1] = 0.94 y2[1] (analytic) = 1.589788025031098229960989815224 y2[1] (numeric) = 1.4672490401023527352951519805631 absolute error = 0.1225389849287454946658378346609 relative error = 7.7078819942896776944921259444948 % h = 0.001 y1[1] (analytic) = 0.19244189959488571312978020136585 y1[1] (numeric) = 0.21769426039191011940199602606761 absolute error = 0.02525236079702440627221582470176 relative error = 13.122070011875681243760821948876 % h = 0.001 TOP MAIN SOLVE Loop memory used=4673.0MB, alloc=4.4MB, time=439.14 NO POLE NO POLE x[1] = 0.941 y2[1] (analytic) = 1.5889801721712981846297634653354 y2[1] (numeric) = 1.4659911956539199245339572575657 absolute error = 0.1229889765173782600958062077697 relative error = 7.7401202778582925307688955157155 % h = 0.001 y1[1] (analytic) = 0.19185251544716916846085032210711 y1[1] (numeric) = 0.2172276401321133478854693864523 absolute error = 0.02537512468494417942461906434519 relative error = 13.226370592952575068699305972199 % h = 0.001 TOP MAIN SOLVE Loop memory used=4676.8MB, alloc=4.4MB, time=439.42 memory used=4680.7MB, alloc=4.4MB, time=439.69 NO POLE NO POLE x[1] = 0.942 y2[1] (analytic) = 1.5881717303313750496797307045275 y2[1] (numeric) = 1.4647316478873212754293840216037 absolute error = 0.1234400824440537742503466829238 relative error = 7.7724644058673533034153904108627 % h = 0.001 y1[1] (analytic) = 0.19126393944686983100128410017909 y1[1] (numeric) = 0.21676227856837501042117275472522 absolute error = 0.02549833912150517941988865454613 relative error = 13.331493220962451365924290529979 % h = 0.001 TOP MAIN SOLVE Loop memory used=4684.5MB, alloc=4.4MB, time=439.97 NO POLE NO POLE x[1] = 0.943 y2[1] (analytic) = 1.5873627003197705976638754015769 y2[1] (numeric) = 1.4634703962139808367302199162074 absolute error = 0.1238923041057897609336554853695 relative error = 7.8049146600730846628804087033415 % h = 0.001 y1[1] (analytic) = 0.19067617218256365200242060513652 y1[1] (numeric) = 0.21629817740430762819322397979305 absolute error = 0.02562200522174397619080337465653 relative error = 13.437444715017714108116653326166 % h = 0.001 TOP MAIN SOLVE Loop memory used=4688.3MB, alloc=4.4MB, time=440.23 memory used=4692.1MB, alloc=4.4MB, time=440.51 NO POLE NO POLE x[1] = 0.944 y2[1] (analytic) = 1.58655308294551477276748418594 y2[1] (numeric) = 1.4622074400461313931110164740522 absolute error = 0.1243456428993833796564677118878 relative error = 7.8374713229594249709743508121517 % h = 0.001 y1[1] (analytic) = 0.19008921424201784678983510968148 y1[1] (numeric) = 0.21583533834411189401804354444385 absolute error = 0.02574612410209404722820843476237 relative error = 13.544231956956057844377554777072 % h = 0.001 TOP MAIN SOLVE Loop memory used=4695.9MB, alloc=4.4MB, time=440.78 NO POLE NO POLE x[1] = 0.945 y2[1] (analytic) = 1.5857428790182248817782696816264 y2[1] (numeric) = 1.4609427787968150529392554618073 absolute error = 0.1248001002214098288390142198191 relative error = 7.8701346777402432906151776507682 % h = 0.001 y1[1] (analytic) = 0.18950306621219030699617274468771 y1[1] (numeric) = 0.21537376309257586331447779912794 absolute error = 0.02587069688038555631830505444023 relative error = 13.651861891995788954140548333321 % h = 0.001 TOP MAIN SOLVE Loop memory used=4699.7MB, alloc=4.4MB, time=441.06 memory used=4703.5MB, alloc=4.4MB, time=441.34 NO POLE NO POLE x[1] = 0.946 y2[1] (analytic) = 1.5849320893481047844691311875929 y2[1] (numeric) = 1.4596764118798838352331915994982 absolute error = 0.1252556774682209492359395880947 relative error = 7.9029050083615638619190321759003 % h = 0.001 y1[1] (analytic) = 0.18891772867922901360330577971155 y1[1] (numeric) = 0.21491345335507414448655964225981 absolute error = 0.02599572467584513088325386254826 relative error = 13.760341529398923771024555213153 % h = 0.001 TOP MAIN SOLVE Loop memory used=4707.4MB, alloc=4.4MB, time=441.61 NO POLE NO POLE x[1] = 0.947 y2[1] (analytic) = 1.5841207147459440833943624218299 y2[1] (numeric) = 1.4584083387100002558097846965883 absolute error = 0.1257123760359438275845777252416 relative error = 7.935782599503798093289739758676 % h = 0.001 y1[1] (analytic) = 0.18833320222847145079440148678306 y1[1] (numeric) = 0.21445441083756708871971626421286 absolute error = 0.0261212086090956379253147774298 relative error = 13.869677943142167522913333112888 % h = 0.001 TOP MAIN SOLVE Loop memory used=4711.2MB, alloc=4.4MB, time=441.88 memory used=4715.0MB, alloc=4.4MB, time=442.16 NO POLE NO POLE x[1] = 0.948 y2[1] (analytic) = 1.5833087560231173131001165328662 y2[1] (numeric) = 1.4571385587026379126221350568971 absolute error = 0.1261701973204794004779814759691 relative error = 7.968767736583984096282878567474 % h = 0.001 y1[1] (analytic) = 0.18774948744444402061648673536087 y1[1] (numeric) = 0.21399663724659997919123415873178 absolute error = 0.02624714980215595857474742337091 relative error = 13.979878272595879584337635298983 % h = 0.001 TOP MAIN SOLVE Loop memory used=4718.8MB, alloc=4.4MB, time=442.43 NO POLE NO POLE x[1] = 0.949 y2[1] (analytic) = 1.5824962139915831287499391681575 y2[1] (numeric) = 1.455867071274082070285836814968 absolute error = 0.1266291427175010584641023531895 relative error = 8.0018607057580337931421563520848 % h = 0.001 y1[1] (analytic) = 0.18716658491086145845409465583714 y1[1] (numeric) = 0.21354013428930221969579219122994 absolute error = 0.0263735493784407612416975353928 relative error = 14.090949723211132112569519014218 % h = 0.001 TOP MAIN SOLVE Loop memory used=4722.6MB, alloc=4.4MB, time=442.69 NO POLE NO POLE memory used=4726.4MB, alloc=4.4MB, time=442.98 x[1] = 0.95 y2[1] (analytic) = 1.5816830894638834941661809737605 y2[1] (numeric) = 1.4545938758414302437936646775812 absolute error = 0.1270892136224532503725162961793 relative error = 8.0350617939229876260284475722236 % h = 0.001 y1[1] (analytic) = 0.18658449521062624931457789789744 y1[1] (numeric) = 0.21308490367338652268687409837113 absolute error = 0.02650040846276027337229620047369 relative error = 14.202899567214970740175860238644 % h = 0.001 TOP MAIN SOLVE Loop memory used=4730.2MB, alloc=4.4MB, time=443.25 NO POLE NO POLE x[1] = 0.951 y2[1] (analytic) = 1.5808693832531428692881014838095 y2[1] (numeric) = 1.4533189718225927814180103557736 absolute error = 0.1275504114305500878700911280359 relative error = 8.0683712887192768970850376536456 % h = 0.001 y1[1] (analytic) = 0.18600321892582804492567219837358 y1[1] (numeric) = 0.21263094710714809673487237745549 absolute error = 0.02662772818132005180920017908191 relative error = 14.315735144313987624590790690002 % h = 0.001 TOP MAIN SOLVE Loop memory used=4734.1MB, alloc=4.4MB, time=443.53 NO POLE NO POLE x[1] = 0.952 y2[1] (analytic) = 1.580055096173067397047476941627 y2[1] (numeric) = 1.4520423586362934468004857849775 absolute error = 0.1280127375367739502469911566495 relative error = 8.1017894785329937686063922347259 % h = 0.001 y1[1] (analytic) = 0.1854227566377430816458931609772 y1[1] (numeric) = 0.21217826629946383340269610743798 absolute error = 0.02675550966172075175680294646078 relative error = 14.42946386240631881003449646171 % h = 0.001 TOP MAIN SOLVE Loop memory used=4737.9MB, alloc=4.4MB, time=443.80 memory used=4741.7MB, alloc=4.4MB, time=444.09 NO POLE NO POLE x[1] = 0.953 y2[1] (analytic) = 1.5792402290379440896625251767901 y2[1] (numeric) = 1.4507640357020700002281110437241 absolute error = 0.128476193335874089434414133066 relative error = 8.1353166524981689527021215516932 % h = 0.001 y1[1] (analytic) = 0.18484310892683359918834833746895 y1[1] (numeric) = 0.21172686295979149353969582590392 absolute error = 0.02688375403295789435134748843497 relative error = 14.544093198302179539318086545228 % h = 0.001 TOP MAIN SOLVE Loop memory used=4745.5MB, alloc=4.4MB, time=444.35 NO POLE NO POLE x[1] = 0.954 y2[1] (analytic) = 1.5784247826626400143509612441614 y2[1] (numeric) = 1.4494840024402747790955056947717 absolute error = 0.1289407802223652352554555493897 relative error = 8.1689531004990571199727465875261 % h = 0.001 y1[1] (analytic) = 0.18426427637274726015854588640262 y1[1] (numeric) = 0.21127673879816889299471916800879 absolute error = 0.02701246242542163283617328160617 relative error = 14.659630698453052863230213564519 % h = 0.001 TOP MAIN SOLVE Loop memory used=4749.3MB, alloc=4.4MB, time=444.62 memory used=4753.1MB, alloc=4.4MB, time=444.90 NO POLE NO POLE x[1] = 0.955 y2[1] (analytic) = 1.5776087578626014784629981117605 y2[1] (numeric) = 1.4482022582720752775525030865159 absolute error = 0.1294064995905262009104950252446 relative error = 8.2026991131724300568393972776612 % h = 0.001 y1[1] (analytic) = 0.18368625955431657040678027158725 y1[1] (numeric) = 0.21082789552521308774911155425884 absolute error = 0.02714163597089651734233128267159 relative error = 14.776083979689648633809854648443 % h = 0.001 TOP MAIN SOLVE Loop memory used=4756.9MB, alloc=4.4MB, time=445.17 NO POLE NO POLE x[1] = 0.956 y2[1] (analytic) = 1.5767921554538532140351072644082 y2[1] (numeric) = 1.4469188026194547253366079671157 absolute error = 0.1298733528343984886984992972925 relative error = 8.2365549819098776012956869435926 % h = 0.001 y1[1] (analytic) = 0.18310905904955830019567464783323 y1[1] (numeric) = 0.21038033485211955847047679406397 absolute error = 0.02727127580256125827480214623074 relative error = 14.893460729968751735390282086433 % h = 0.001 TOP MAIN SOLVE Loop memory used=4760.8MB, alloc=4.4MB, time=445.44 memory used=4764.6MB, alloc=4.4MB, time=445.72 NO POLE NO POLE x[1] = 0.957 y2[1] (analytic) = 1.5759749762529975617653546693133 y2[1] (numeric) = 1.4456336349052126657897185789259 absolute error = 0.1303413413477848959756360903874 relative error = 8.2705209988601163869767142473508 % h = 0.001 y1[1] (analytic) = 0.18253267543567290618345876639169 y1[1] (numeric) = 0.20993405849066139448801305123426 absolute error = 0.02740138305498848830455428484257 relative error = 15.011768709129080204381230997535 % h = 0.001 TOP MAIN SOLVE Loop memory used=4768.4MB, alloc=4.4MB, time=445.99 NO POLE NO POLE x[1] = 0.958 y2[1] (analytic) = 1.5751572210772136544111281281996 y2[1] (numeric) = 1.4443467545529655330585352165628 absolute error = 0.1308104665242481213525929116368 relative error = 8.3045974569313064255674473777808 % h = 0.001 y1[1] (analytic) = 0.18195710928904395422356041676126 y1[1] (numeric) = 0.20948906815318847719024019601616 absolute error = 0.0275319588641445229666797792549 relative error = 15.131015749656275715879601410042 % h = 0.001 TOP MAIN SOLVE Loop memory used=4772.2MB, alloc=4.4MB, time=446.26 memory used=4776.0MB, alloc=4.4MB, time=446.53 NO POLE NO POLE x[1] = 0.959 y2[1] (analytic) = 1.5743388907442565996100726181766 y2[1] (numeric) = 1.4430581609871472284780780482416 absolute error = 0.131280729757109371131994569935 relative error = 8.3387846497933755577006479618157 % h = 0.001 y1[1] (analytic) = 0.18138236118523754298108760522243 y1[1] (numeric) = 0.20904536555262666284593514587304 absolute error = 0.02766300436738911986484754065061 relative error = 15.251209757457150772914475558482 % h = 0.001 TOP MAIN SOLVE Loop memory used=4779.8MB, alloc=4.4MB, time=446.80 NO POLE NO POLE x[1] = 0.96 y2[1] (analytic) = 1.5735199860724566621250508003519 y2[1] (numeric) = 1.441767853633009696137737816916 absolute error = 0.1317521324394469659873129834359 relative error = 8.3730828718803518026229974266401 % h = 0.001 y1[1] (analytic) = 0.18080843169900172836677785356957 y1[1] (numeric) = 0.20860295240247696484909237400655 absolute error = 0.02779452070347523648231452043698 relative error = 15.372358712643318823001544689253 % h = 0.001 TOP MAIN SOLVE Loop memory used=4783.7MB, alloc=4.4MB, time=447.07 NO POLE NO POLE memory used=4787.5MB, alloc=4.4MB, time=447.35 x[1] = 0.961 y2[1] (analytic) = 1.5727005078807184455139464511542 y2[1] (numeric) = 1.4404758319166234976292838552179 absolute error = 0.1322246759640949478846625959363 relative error = 8.4074924183927036370371993245208 % h = 0.001 y1[1] (analytic) = 0.18023532140426594878899018404309 y1[1] (numeric) = 0.2081618304168147353887273405902 absolute error = 0.02792650901254878659973715654711 relative error = 15.494470670324335447278213862518 % h = 0.001 TOP MAIN SOLVE Loop memory used=4791.3MB, alloc=4.4MB, time=447.62 NO POLE NO POLE x[1] = 0.962 y2[1] (analytic) = 1.5718804569885200732251291464982 y2[1] (numeric) = 1.4391820952648783859762546662367 absolute error = 0.1326983617236416872488744802615 relative error = 8.4420135852996882336575505926087 % h = 0.001 y1[1] (analytic) = 0.17966303087414045122431453842204 y1[1] (numeric) = 0.20772200131028884654434117684352 absolute error = 0.02805897043614839532002663842148 relative error = 15.617553761410480720398155735324 % h = 0.001 TOP MAIN SOLVE Loop memory used=4795.1MB, alloc=4.4MB, time=447.89 NO POLE NO POLE x[1] = 0.963 y2[1] (analytic) = 1.5710598342159123691193991032558 y2[1] (numeric) = 1.4378866431054838787441571407948 absolute error = 0.133173191110428490375241962461 relative error = 8.4766466693417076901468059919093 % h = 0.001 y1[1] (analytic) = 0.17909156068091571810737256061982 y1[1] (numeric) = 0.20728346679812087080786552641388 absolute error = 0.02819190611720515270049296579406 relative error = 15.741616193425314825179108478706 % h = 0.001 TOP MAIN SOLVE Loop memory used=4798.9MB, alloc=4.4MB, time=448.16 memory used=4802.7MB, alloc=4.4MB, time=448.43 NO POLE NO POLE x[1] = 0.964 y2[1] (analytic) = 1.5702386403835180374192316560228 y2[1] (numeric) = 1.4365894748669698303309013010688 absolute error = 0.133649165516548207088330354954 relative error = 8.5113919680326732792331062096833 % h = 0.001 y1[1] (analytic) = 0.1785209113960618950403828529345 y1[1] (numeric) = 0.20684622859610426103290702205281 absolute error = 0.02832531720004236599252416911831 relative error = 15.866666251328141025328432593109 % h = 0.001 TOP MAIN SOLVE Loop memory used=4806.5MB, alloc=4.4MB, time=448.70 NO POLE NO POLE x[1] = 0.965 y2[1] (analytic) = 1.5694168763125308420861414198663 y2[1] (numeric) = 1.4352905899786870034368982801691 absolute error = 0.1341262863338438386492431396972 relative error = 8.5462497796623777509373044902477 % h = 0.001 y1[1] (analytic) = 0.17795108359022821932306299634073 y1[1] (numeric) = 0.20641028842060352981211144827401 absolute error = 0.02845920483037531048904845193328 relative error = 15.992712298346512153037771204009 % h = 0.001 TOP MAIN SOLVE Loop memory used=4810.4MB, alloc=4.4MB, time=448.98 memory used=4814.2MB, alloc=4.4MB, time=449.26 NO POLE NO POLE x[1] = 0.966 y2[1] (analytic) = 1.5685945428247147856269867616215 y2[1] (numeric) = 1.4339899878708076397142500676271 absolute error = 0.1346045549539071459127366939944 relative error = 8.581220403298875717973212372382 % h = 0.001 y1[1] (analytic) = 0.17738207783324244930343980487371 y1[1] (numeric) = 0.2059756479885534282834682125606 absolute error = 0.02859357015531097898002840768689 relative error = 16.119762776818918856474020876302 % h = 0.001 TOP MAIN SOLVE Loop memory used=4818.0MB, alloc=4.4MB, time=449.53 NO POLE NO POLE x[1] = 0.967 y2[1] (analytic) = 1.5677716407424032873300357733647 y2[1] (numeric) = 1.4326876679743260295944603716485 absolute error = 0.1350839727680772577355754017162 relative error = 8.6163041387908721555160953656342 % h = 0.001 y1[1] (analytic) = 0.17681389469411029455013846324732 y1[1] (numeric) = 0.20554230901745812436637631874851 absolute error = 0.02872841432334782981623785550119 relative error = 16.247826209047799975844418126312 % h = 0.001 TOP MAIN SOLVE Loop memory used=4821.8MB, alloc=4.4MB, time=449.80 memory used=4825.6MB, alloc=4.4MB, time=450.08 NO POLE NO POLE x[1] = 0.968 y2[1] (analytic) = 1.5669481708884983609316155119276 y2[1] (numeric) = 1.4313836297210590812940967704683 absolute error = 0.1355645411674392796375187414593 relative error = 8.6515012867701190466681874204837 % h = 0.001 y1[1] (analytic) = 0.1762465347410148468467203753698 y1[1] (numeric) = 0.20511027322539038042829360645177 absolute error = 0.02886373848437553358157323108197 relative error = 16.376911198163017576437643640648 % h = 0.001 TOP MAIN SOLVE Loop memory used=4829.4MB, alloc=4.4MB, time=450.35 NO POLE NO POLE x[1] = 0.969 y2[1] (analytic) = 1.5661241340864697917141668377364 y2[1] (numeric) = 1.4300778725436468889978351471942 absolute error = 0.1360462615428229027163316905422 relative error = 8.6868121486538202050840620833703 % h = 0.001 y1[1] (analytic) = 0.17567999854131601200863872937179 y1[1] (numeric) = 0.20467954233099073038279158981176 absolute error = 0.02899954378967471837415286043997 relative error = 16.507026428995941363512550625493 % h = 0.001 TOP MAIN SOLVE Loop memory used=4833.2MB, alloc=4.4MB, time=450.62 memory used=4837.1MB, alloc=4.4MB, time=450.90 NO POLE NO POLE x[1] = 0.97 y2[1] (analytic) = 1.5652995311603543130365277548499 y2[1] (numeric) = 1.4287703958755533002183182251399 absolute error = 0.13652913528480101281820952971 relative error = 8.7222370266470443063534015407062 % h = 0.001 y1[1] (analytic) = 0.17511428666154994252337996214366 y1[1] (numeric) = 0.20425011805346665621983879744714 absolute error = 0.02913583139191671369645883530348 relative error = 16.638180668964289437807183155996 % h = 0.001 TOP MAIN SOLVE Loop memory used=4840.9MB, alloc=4.4MB, time=451.17 NO POLE NO POLE x[1] = 0.971 y2[1] (analytic) = 1.5644743629347547822972687218476 y2[1] (numeric) = 1.427461199151066482332260843838 absolute error = 0.1370131637836882999650078780096 relative error = 8.7577762237451461598740456281563 % h = 0.001 y1[1] (analytic) = 0.17454939966742847101435848319357 y1[1] (numeric) = 0.2038220021125917639691360832524 absolute error = 0.02927260244516329295477760005883 relative error = 16.770382768967874622472850447043 % h = 0.001 TOP MAIN SOLVE Loop memory used=4844.7MB, alloc=4.4MB, time=451.44 NO POLE NO POLE memory used=4848.5MB, alloc=4.4MB, time=451.72 x[1] = 0.972 y2[1] (analytic) = 1.5636486302348393563319039701617 y2[1] (numeric) = 1.4261502818052994882922354396741 absolute error = 0.1374983484295398680396685304876 relative error = 8.7934300437361962530841846124605 % h = 0.001 y1[1] (analytic) = 0.17398533812383854452913119388423 y1[1] (numeric) = 0.20339519622870495909732794464107 absolute error = 0.02940985810486641456819675075684 relative error = 16.903641664295407903115093987151 % h = 0.001 TOP MAIN SOLVE Loop memory used=4852.3MB, alloc=4.4MB, time=451.99 NO POLE NO POLE x[1] = 0.973 y2[1] (analytic) = 1.5628223338863406662448034325732 y2[1] (numeric) = 1.4248376432741908215135720194035 absolute error = 0.1379846906121498447312314131697 relative error = 8.8291987912034186000591854624841 % h = 0.001 y1[1] (analytic) = 0.17342210259484165965249751378665 y1[1] (numeric) = 0.20296970212270962133991445095363 absolute error = 0.02954759952786796168741693716698 relative error = 17.037966375542512873073915539484 % h = 0.001 TOP MAIN SOLVE Loop memory used=4856.1MB, alloc=4.4MB, time=452.26 NO POLE NO POLE x[1] = 0.974 y2[1] (analytic) = 1.5619954747155549916766304498929 y2[1] (numeric) = 1.4235232829945049999358077396982 absolute error = 0.1384721917210499917408227101947 relative error = 8.8650827715276369266158147511749 % h = 0.001 y1[1] (analytic) = 0.17285969364367329844504980100387 y1[1] (numeric) = 0.20254552151607277896868895004931 absolute error = 0.02968582787239948052363914904544 relative error = 17.17336600954110746684299427557 % h = 0.001 TOP MAIN SOLVE Loop memory used=4859.9MB, alloc=4.4MB, time=452.53 memory used=4863.8MB, alloc=4.4MB, time=452.82 NO POLE NO POLE x[1] = 0.975 y2[1] (analytic) = 1.5611680535493414345081309883184 y2[1] (numeric) = 1.4222072004038331192581220313211 absolute error = 0.1389608531455083152500089569973 relative error = 8.9010822908897292242045456270047 % h = 0.001 y1[1] (analytic) = 0.17229811183274236520773822786723 y1[1] (numeric) = 0.20212265613082428249552728557536 absolute error = 0.02982454429808191728778905770813 relative error = 17.309849760300311696370389021198 % h = 0.001 TOP MAIN SOLVE Loop memory used=4867.6MB, alloc=4.4MB, time=453.09 NO POLE NO POLE x[1] = 0.976 y2[1] (analytic) = 1.5603400712151210920011006636116 y2[1] (numeric) = 1.4208893949405934153481940325393 absolute error = 0.1394506762745276766529066310723 relative error = 8.9371976562730907050092148382078 % h = 0.001 y1[1] (analytic) = 0.17173735772363062407301334739332 y1[1] (numeric) = 0.20170110768955597781335482105566 absolute error = 0.02996374996592535374034147366234 relative error = 17.447426909959042578675520949633 % h = 0.001 TOP MAIN SOLVE Loop memory used=4871.4MB, alloc=4.4MB, time=453.36 memory used=4875.2MB, alloc=4.4MB, time=453.64 NO POLE NO POLE x[1] = 0.977 y2[1] (analytic) = 1.5595115285408762293773564310583 y2[1] (numeric) = 1.4195698660440318258239199229664 absolute error = 0.1399416624968444035534365080919 relative error = 8.9734291754661051908125319790888 % h = 0.001 y1[1] (analytic) = 0.17117743187709213742310875931219 y1[1] (numeric) = 0.20128087791542087877511812976275 absolute error = 0.03010344603832874135200937045056 relative error = 17.586106829750459959549078058864 % h = 0.001 TOP MAIN SOLVE Loop memory used=4879.0MB, alloc=4.4MB, time=453.91 NO POLE NO POLE x[1] = 0.978 y2[1] (analytic) = 1.5586824263551494518365403621718 y2[1] (numeric) = 1.4182486131542225508074285761625 absolute error = 0.1404338132009269010291117860093 relative error = 9.009777157064624968325840369647 % h = 0.001 y1[1] (analytic) = 0.17061833485305270513602545733743 y1[1] (numeric) = 0.20086196853213233921158877133267 absolute error = 0.03024363367907963407556331399524 relative error = 17.725898980978429497880134347701 % h = 0.001 TOP MAIN SOLVE Loop memory used=4882.8MB, alloc=4.4MB, time=454.18 memory used=4886.6MB, alloc=4.4MB, time=454.45 NO POLE NO POLE x[1] = 0.979 y2[1] (analytic) = 1.5578527654870428760135834902649 y2[1] (numeric) = 1.4169256357120686128508347770236 absolute error = 0.1409271297749742631627487132413 relative error = 9.0462419104744591438220907091008 % h = 0.001 y1[1] (analytic) = 0.17006006721060930465977861164691 y1[1] (numeric) = 0.20044438126396322438882713724977 absolute error = 0.03038431405335391972904852560286 relative error = 17.8668129160061716792010981799 % h = 0.001 TOP MAIN SOLVE Loop memory used=4890.5MB, alloc=4.4MB, time=454.73 NO POLE NO POLE x[1] = 0.98 y2[1] (analytic) = 1.5570225467662173008766582673599 y2[1] (numeric) = 1.4156009331593024160331700782537 absolute error = 0.1414216136069148848434881891062 relative error = 9.082823745913870530052218314317 % h = 0.001 y1[1] (analytic) = 0.16950262950802953191546671228085 y1[1] (numeric) = 0.2000281178357450819061349076687 absolute error = 0.03052548832771554999066819538785 relative error = 18.008858279257268376195936031421 % h = 0.001 TOP MAIN SOLVE Loop memory used=4894.3MB, alloc=4.4MB, time=455.00 memory used=4898.1MB, alloc=4.4MB, time=455.28 NO POLE NO POLE x[1] = 0.981 y2[1] (analytic) = 1.5561917710228913780664487344139 y2[1] (numeric) = 1.4142745049384863042279321990351 absolute error = 0.1419172660844050738385165353788 relative error = 9.1195229744160810985670158360358 % h = 0.001 y1[1] (analytic) = 0.16894602230275104302972217034147 y1[1] (numeric) = 0.1996131799728673120353252215519 absolute error = 0.03066715767011626900560305121043 relative error = 18.152044808229201169037654619792 % h = 0.001 TOP MAIN SOLVE Loop memory used=4901.9MB, alloc=4.4MB, time=455.55 NO POLE NO POLE x[1] = 0.982 y2[1] (analytic) = 1.5553604390878407816775680655199 y2[1] (numeric) = 1.4129463504930131185406946983939 absolute error = 0.142414088594827663136873367126 relative error = 9.1563399078317860307091693312931 % h = 0.001 y1[1] (analytic) = 0.168390246151380996897101644497 y1[1] (numeric) = 0.19919956940127633750214022078341 absolute error = 0.03080932324989534060503857628641 relative error = 18.296382334519598380382204344873 % h = 0.001 TOP MAIN SOLVE Loop memory used=4905.7MB, alloc=4.4MB, time=455.82 NO POLE NO POLE memory used=4909.5MB, alloc=4.4MB, time=456.10 x[1] = 0.983 y2[1] (analytic) = 1.5545285517923973774829537045974 y2[1] (numeric) = 1.4116164692671067539162194856986 absolute error = 0.1429120825252906235667342188988 relative error = 9.1932748588316764006833799702987 % h = 0.001 y1[1] (analytic) = 0.1678353016096954985729735303534 y1[1] (numeric) = 0.19878728784747477271064618677218 absolute error = 0.03095198623777927413767265641878 relative error = 18.441880784865370569540868698811 % h = 0.001 TOP MAIN SOLVE Loop memory used=4913.4MB, alloc=4.4MB, time=456.37 NO POLE NO POLE x[1] = 0.984 y2[1] (analytic) = 1.5536961099684483916020708701086 y2[1] (numeric) = 1.410284860705822714914515561224 absolute error = 0.1434112492626256766875553088846 relative error = 9.23032814090897052425643000152 % h = 0.001 y1[1] (analytic) = 0.16728118923263904349745921975985 y1[1] (numeric) = 0.19837633703852059241143704508055 absolute error = 0.0310951478058815489139778253207 relative error = 18.588550182194917068693454322849 % h = 0.001 TOP MAIN SOLVE Loop memory used=4917.2MB, alloc=4.4MB, time=456.64 NO POLE NO POLE x[1] = 0.985 y2[1] (analytic) = 1.5528631144484355786137557595258 y2[1] (numeric) = 1.4089515242550486706552882107691 absolute error = 0.1439115901933869079584675487567 relative error = 9.2675000683819540067836734400617 % h = 0.001 y1[1] (analytic) = 0.16672790957432396255098390606041 y1[1] (numeric) = 0.19796671870202629981447756980514 absolute error = 0.03123880912770233726349366374473 relative error = 18.736400646693589031920786026486 % h = 0.001 TOP MAIN SOLVE Loop memory used=4921.0MB, alloc=4.4MB, time=456.91 memory used=4924.8MB, alloc=4.4MB, time=457.19 NO POLE NO POLE x[1] = 0.986 y2[1] (analytic) = 1.5520295660653543891145303406393 y2[1] (numeric) = 1.407616459361505008930223709926 absolute error = 0.1444131067038493801843066307133 relative error = 9.3047909563965285244037428537511 % h = 0.001 y1[1] (analytic) = 0.16617546318802986794199187969491 y1[1] (numeric) = 0.19755843456615809414741817479756 absolute error = 0.03138297137812822620542629510265 relative error = 18.885442396882597406277123615048 % h = 0.001 TOP MAIN SOLVE Loop memory used=4928.6MB, alloc=4.4MB, time=457.46 NO POLE NO POLE x[1] = 0.987 y2[1] (analytic) = 1.5511954656527531367232211713211 y2[1] (numeric) = 1.4062796654727453894825554257605 absolute error = 0.1449158001800077472406657455606 relative error = 9.3422011209287693723892671889785 % h = 0.001 y1[1] (analytic) = 0.16562385062620309992738042638742 y1[1] (numeric) = 0.19715148635963503766021373334083 absolute error = 0.03152763573343193773283330695341 relative error = 19.035685750711557224060965485625 % h = 0.001 TOP MAIN SOLVE Loop memory used=4932.4MB, alloc=4.4MB, time=457.73 memory used=4936.2MB, alloc=4.4MB, time=458.00 NO POLE NO POLE x[1] = 0.988 y2[1] (analytic) = 1.5503608140447321645327152430547 y2[1] (numeric) = 1.4049411420371572964533580363855 absolute error = 0.1454196720075748680793572066692 relative error = 9.3797308787874918147880954162399 % h = 0.001 y1[1] (analytic) = 0.16507307244045617436620560744248 y1[1] (numeric) = 0.19674587581172822207687942159324 absolute error = 0.03167280337127204771067381415076 relative error = 19.187141126664862657866377849816 % h = 0.001 TOP MAIN SOLVE Loop memory used=4940.1MB, alloc=4.4MB, time=458.28 NO POLE NO POLE x[1] = 0.989 y2[1] (analytic) = 1.5495256120759430110096863964084 y2[1] (numeric) = 1.4036008885039625899940174221782 absolute error = 0.1459247235719804210156689742302 relative error = 9.4173805476168262696369205162431 % h = 0.001 y1[1] (analytic) = 0.16452312918156723110721236839716 y1[1] (numeric) = 0.19634160465225993449521713397442 absolute error = 0.03181847547069270338800476557726 relative error = 19.339819044882090375917314838479 % h = 0.001 TOP MAIN SOLVE Loop memory used=4943.9MB, alloc=4.4MB, time=458.55 memory used=4947.7MB, alloc=4.4MB, time=458.82 NO POLE NO POLE x[1] = 0.99 y2[1] (analytic) = 1.5486898605815875753431264086536 y2[1] (numeric) = 1.4022589043232180570443246162171 absolute error = 0.1464309562583695182988017924365 relative error = 9.4551504458988023641773016228589 % h = 0.001 y1[1] (analytic) = 0.16397402139947948321074058845289 y1[1] (numeric) = 0.19593867461160282273534657069754 absolute error = 0.03196465321212333952460598224465 relative error = 19.493730128292631885636407048306 % h = 0.001 TOP MAIN SOLVE Loop memory used=4951.5MB, alloc=4.4MB, time=459.10 NO POLE NO POLE x[1] = 0.991 y2[1] (analytic) = 1.5478535603974172822425154049293 y2[1] (numeric) = 1.4009151889458159612756430358919 absolute error = 0.1469383714516013209668723690374 relative error = 9.4930408929559418946528926638587 % h = 0.001 y1[1] (analytic) = 0.16342574964330066700555784873517 y1[1] (numeric) = 0.1955370874206790601378756488472 absolute error = 0.03211133777737839313231780011203 relative error = 19.648885103764758759431116077953 % h = 0.001 TOP MAIN SOLVE Loop memory used=4955.3MB, alloc=4.4MB, time=459.37 memory used=4959.1MB, alloc=4.4MB, time=459.64 NO POLE NO POLE x[1] = 0.992 y2[1] (analytic) = 1.5470167123597322461864667947115 y2[1] (numeric) = 1.3995697418234845921985990525633 absolute error = 0.1474469705362476539878677421482 relative error = 9.5310522089538607254162072879166 % h = 0.001 y1[1] (analytic) = 0.16287831446130249298116886250245 y1[1] (numeric) = 0.19513684481095950981254543876281 absolute error = 0.03225853034965701683137657626036 relative error = 19.805294803269327899369883858462 % h = 0.001 TOP MAIN SOLVE Loop memory used=4962.9MB, alloc=4.4MB, time=459.91 NO POLE NO POLE x[1] = 0.993 y2[1] (analytic) = 1.5461793173053804351226824848735 y2[1] (numeric) = 1.3982225624087888134347467916288 absolute error = 0.1479567548965916216879356932447 relative error = 9.5691847149038796622234859522407 % h = 0.001 y1[1] (analytic) = 0.16233171640092009751615067494915 y1[1] (numeric) = 0.19473794851446288833818537701302 absolute error = 0.03240623211354279082203470206387 relative error = 19.962970165058337317867539043105 % h = 0.001 TOP MAIN SOLVE Loop memory used=4966.8MB, alloc=4.4MB, time=460.18 NO POLE NO POLE memory used=4970.6MB, alloc=4.4MB, time=460.46 x[1] = 0.994 y2[1] (analytic) = 1.5453413760717568336200546693127 y2[1] (numeric) = 1.3968736501551306101516588913758 absolute error = 0.1484677259166262234683957779369 relative error = 9.6074387326656443347471855060193 % h = 0.001 y1[1] (analytic) = 0.16178595600875149544306190422175 y1[1] (numeric) = 0.19434040026375492891481505593621 absolute error = 0.03255444425500343347175315171446 relative error = 20.121922234858546290824554610267 % h = 0.001 TOP MAIN SOLVE Loop memory used=4974.4MB, alloc=4.4MB, time=460.73 NO POLE NO POLE x[1] = 0.995 y2[1] (analytic) = 1.5445028894968026054737510429714 y2[1] (numeric) = 1.3955230045167496356608957855755 absolute error = 0.1489798849800529698128552573959 relative error = 9.6458145849497541234872881982698 % h = 0.001 y1[1] (analytic) = 0.16124103383055703345047345869323 y1[1] (numeric) = 0.19394420179194754396872943757555 absolute error = 0.03270316796139051051825597888232 relative error = 20.28216216708037717901431334 % h = 0.001 TOP MAIN SOLVE Loop memory used=4978.2MB, alloc=4.4MB, time=461.00 NO POLE NO POLE x[1] = 0.996 y2[1] (analytic) = 1.5436638584190042557641208350967 y2[1] (numeric) = 1.3941706249487237571783069118953 absolute error = 0.1494932334702804985858139232014 relative error = 9.6843125953204001664150295435858 % h = 0.001 y1[1] (analytic) = 0.16069695041125884432266732841958 y1[1] (numeric) = 0.19354935483269798721140488685361 absolute error = 0.03285240442143914288873755843403 relative error = 20.443701226042319714056142852162 % h = 0.001 TOP MAIN SOLVE Loop memory used=4982.0MB, alloc=4.4MB, time=461.27 memory used=4985.8MB, alloc=4.4MB, time=461.56 NO POLE NO POLE x[1] = 0.997 y2[1] (analytic) = 1.5428242836773927923702596027651 y2[1] (numeric) = 1.3928165109069696007461180858732 absolute error = 0.1500077727704231916241415168919 relative error = 9.7229330881980124808357766968061 % h = 0.001 y1[1] (analytic) = 0.16015370629494030201754921103397 y1[1] (numeric) = 0.19315586112020801515306396501072 absolute error = 0.03300215482526771313551475397675 relative error = 20.606550787211062108244178210161 % h = 0.001 TOP MAIN SOLVE Loop memory used=4989.6MB, alloc=4.4MB, time=461.83 NO POLE NO POLE x[1] = 0.998 y2[1] (analytic) = 1.5419841661115428869390712710343 y2[1] (numeric) = 1.3914606618482430953162601184122 absolute error = 0.1505235042632997916228111526221 relative error = 9.761676388861916236111654739151 % h = 0.001 y1[1] (analytic) = 0.15961130202484547758331989412072 y1[1] (numeric) = 0.19276372238922304807173746967228 absolute error = 0.03315242036437757048841757555156 relative error = 20.770722338457576974043154260415 % h = 0.001 TOP MAIN SOLVE Loop memory used=4993.5MB, alloc=4.4MB, time=462.10 memory used=4997.3MB, alloc=4.4MB, time=462.38 NO POLE NO POLE x[1] = 0.999 y2[1] (analytic) = 1.5411435065615720353106664505939 y2[1] (numeric) = 1.3901030772301400159943945935119 absolute error = 0.151040429331432019316271857082 relative error = 9.8005428234529972130391214090926 % h = 0.001 y1[1] (analytic) = 0.15906973814337859591444947735228 y1[1] (numeric) = 0.19237294037503133043866275241324 absolute error = 0.03330320223165273452421327506096 relative error = 20.936227481329393730458071307008 % h = 0.001 TOP MAIN SOLVE Loop memory used=5001.1MB, alloc=4.4MB, time=462.66 NO POLE NO POLE x[1] = 1 y2[1] (analytic) = 1.540302305868139717400936607443 y2[1] (numeric) = 1.388743756511096526444093562256 absolute error = 0.151558549357043190956843045187 relative error = 9.8395327189763764858320351857381 % h = 0.001 y1[1] (analytic) = 0.1585290151921034933474976783697 y1[1] (numeric) = 0.19198351681346309080085788835131 absolute error = 0.03345450162135959745336020998161 relative error = 21.103077932339292931007958240461 % h = 0.001 TOP MAIN SOLVE Loop memory used=5004.9MB, alloc=4.4MB, time=462.93 memory used=5008.7MB, alloc=4.5MB, time=463.21 NO POLE NO POLE x[1] = 1.001 y2[1] (analytic) = 1.5394605648724465565421442019536 y2[1] (numeric) = 1.3873826991503897204506307489225 absolute error = 0.1520778657220568360915134530311 relative error = 9.8786464033040943628168511401181 % h = 0.001 y1[1] (analytic) = 0.15798913371174307609732262654106 y1[1] (numeric) = 0.1915954534408897011217118151248 absolute error = 0.03360631972914662502438918858374 relative error = 21.271285524270661772984525552068 % h = 0.001 TOP MAIN SOLVE Loop memory used=5012.5MB, alloc=4.5MB, time=463.48 NO POLE NO POLE x[1] = 1.002 y2[1] (analytic) = 1.5386182844162334782823694566573 y2[1] (numeric) = 1.3860199046081381626438427054691 absolute error = 0.1525983798080953156385267511882 relative error = 9.9178842051778036221034175196275 % h = 0.001 y1[1] (analytic) = 0.15745009424217877953421970834405 y1[1] (numeric) = 0.19120875199422283558043110059491 absolute error = 0.03375865775204405604621139225086 relative error = 21.440862207499753941382042094088 % h = 0.001 TOP MAIN SOLVE Loop memory used=5016.4MB, alloc=4.5MB, time=463.74 memory used=5020.2MB, alloc=4.5MB, time=464.02 NO POLE NO POLE x[1] = 1.003 y2[1] (analytic) = 1.5377754653417808686446549532403 y2[1] (numeric) = 1.3846553723453024283795191915784 absolute error = 0.1531200929964784402651357616619 relative error = 9.9572464542114720786524375561217 % h = 0.001 y1[1] (analytic) = 0.15691189732245002830253118718872 y1[1] (numeric) = 0.19082341421091362883118453975552 absolute error = 0.0339115168884636005286533525668 relative error = 21.611820051335100904701451382853 % h = 0.001 TOP MAIN SOLVE Loop memory used=5024.0MB, alloc=4.5MB, time=464.29 NO POLE NO POLE x[1] = 1.004 y2[1] (analytic) = 1.5369321084919077318466897995304 y2[1] (numeric) = 1.3832891018236856427787828989179 absolute error = 0.1536430066682220890679069006125 relative error = 9.9967334808940945193190094432299 % h = 0.001 y1[1] (analytic) = 0.15637454349075369728126647902573 y1[1] (numeric) = 0.19043944182895183372278732163583 absolute error = 0.0340648983381981364415208426101 relative error = 21.784171245374325815144876705828 % h = 0.001 TOP MAIN SOLVE Loop memory used=5027.8MB, alloc=4.5MB, time=464.55 memory used=5031.6MB, alloc=4.5MB, time=464.83 NO POLE NO POLE x[1] = 1.005 y2[1] (analytic) = 1.5360882147099708474818756467225 y2[1] (numeric) = 1.3819210925059340189249194802788 absolute error = 0.1541671222040368285569561664437 relative error = 10.036345616592414042610766791572 % h = 0.001 y1[1] (analytic) = 0.15583803328444357338727212307505 y1[1] (numeric) = 0.19005683658686497847976704644146 absolute error = 0.03421880330242140509249492336641 relative error = 21.957928100878615273941382042933 % h = 0.001 TOP MAIN SOLVE Loop memory used=5035.4MB, alloc=4.5MB, time=465.10 NO POLE NO POLE x[1] = 1.006 y2[1] (analytic) = 1.5352437848398639271626173757064 y2[1] (numeric) = 1.38055134385553739521711968681 absolute error = 0.1546924409843265319454976888964 relative error = 10.076083193553652840059016141151 % h = 0.001 y1[1] (analytic) = 0.15530236724002981822148964446015 y1[1] (numeric) = 0.18967560022371752334565441179771 absolute error = 0.03437323298368770512416476733756 relative error = 22.133103052165108405126807445885 % h = 0.001 TOP MAIN SOLVE Loop memory used=5039.2MB, alloc=4.5MB, time=465.37 NO POLE NO POLE x[1] = 1.007 y2[1] (analytic) = 1.5343988197260167706266818091356 y2[1] (numeric) = 1.3791798553368297718805962596486 absolute error = 0.155218964389186998746085549487 relative error = 10.115946544908252456261911312236 % h = 0.001 y1[1] (analytic) = 0.1547675458931784315588386624451 y1[1] (numeric) = 0.18929573447911001668934192473411 absolute error = 0.03452818858593158513050326228901 relative error = 22.309708658017466939516562023924 % h = 0.001 TOP MAIN SOLVE Loop memory used=5043.1MB, alloc=4.5MB, time=465.64 memory used=5046.9MB, alloc=4.5MB, time=465.92 NO POLE NO POLE x[1] = 1.008 y2[1] (analytic) = 1.5335533202133944213074683428077 y2[1] (numeric) = 1.3778066264149898466325390658751 absolute error = 0.1557466937984045746749292769326 relative error = 10.155936004672623564820120555102 % h = 0.001 y1[1] (analytic) = 0.15423356977871071568226175434684 y1[1] (numeric) = 0.1889172410931782505753545329811 absolute error = 0.03468367131446753489309277863426 relative error = 22.487757603114894346369273904228 % h = 0.001 TOP MAIN SOLVE Loop memory used=5050.7MB, alloc=4.5MB, time=466.19 NO POLE NO POLE x[1] = 1.009 y2[1] (analytic) = 1.532707287147496321369035926017 y2[1] (numeric) = 1.3764316565560415495033728128834 absolute error = 0.1562756305914547718656631131336 relative error = 10.196051907751905297547635684815 % h = 0.001 y1[1] (analytic) = 0.15370043943060274056146674103291 y1[1] (numeric) = 0.18854012180659241579887660523799 absolute error = 0.03483968237598967523740986420508 relative error = 22.66726269947987646488271203867 % h = 0.001 TOP MAIN SOLVE Loop memory used=5054.5MB, alloc=4.5MB, time=466.46 memory used=5058.3MB, alloc=4.5MB, time=466.74 NO POLE NO POLE x[1] = 1.01 y2[1] (analytic) = 1.5318607213743554662067313557792 y2[1] (numeric) = 1.3750549452268545768127825199518 absolute error = 0.1568057761475008893939488358274 relative error = 10.23629458994273416450334675207 % h = 0.001 y1[1] (analytic) = 0.15316815538198480987690121521799 y1[1] (numeric) = 0.18816437836055625638638022531468 absolute error = 0.03499622297857144650947901009669 relative error = 22.848236887944920582766433569128 % h = 0.001 TOP MAIN SOLVE Loop memory used=5062.1MB, alloc=4.5MB, time=467.01 NO POLE NO POLE x[1] = 1.011 y2[1] (analytic) = 1.5310136237405375584142643842326 y2[1] (numeric) = 1.3736764918951449242999727710339 absolute error = 0.1573371318453926341142916131987 relative error = 10.276664387936022602552765421676 % h = 0.001 y1[1] (analytic) = 0.15263671816514092788949328854018 y1[1] (numeric) = 0.18779001249680622356270029944841 absolute error = 0.03515329433166529567320701090823 relative error = 23.030693239638574486307460358978 % h = 0.001 TOP MAIN SOLVE Loop memory used=5065.9MB, alloc=4.5MB, time=467.28 memory used=5069.8MB, alloc=4.5MB, time=467.56 NO POLE NO POLE x[1] = 1.012 y2[1] (analytic) = 1.5301659950931401612180756720674 y2[1] (numeric) = 1.3722962960294754194076276185553 absolute error = 0.1578696990636647418104480535121 relative error = 10.317161639319747190333829245173 % h = 0.001 y1[1] (analytic) = 0.15210612831150826715669168763168 y1[1] (numeric) = 0.18741702595761062918540250965001 absolute error = 0.03531089764610236202871082201833 relative error = 23.214644957491011667230307730519 % h = 0.001 TOP MAIN SOLVE Loop memory used=5073.6MB, alloc=4.5MB, time=467.83 NO POLE NO POLE x[1] = 1.013 y2[1] (analytic) = 1.5293178362797918513798441535466 y2[1] (numeric) = 1.3709143570992562527190388543001 absolute error = 0.1584034791805355986608052992465 relative error = 10.357786682581746567666061588134 % h = 0.001 y1[1] (analytic) = 0.15157638635167663709533748309973 y1[1] (numeric) = 0.18704542048576879864729067864105 absolute error = 0.03546903413409216155195319554132 relative error = 23.400105377759473617931134248733 % h = 0.001 TOP MAIN SOLVE Loop memory used=5077.4MB, alloc=4.5MB, time=468.10 memory used=5081.2MB, alloc=4.5MB, time=468.38 NO POLE NO POLE x[1] = 1.014 y2[1] (analytic) = 1.5284691481486513715679809105391 y2[1] (numeric) = 1.3695306745747455085478712103028 absolute error = 0.1589384735739058630201097002363 relative error = 10.398539857112529097608502291911 % h = 0.001 y1[1] (analytic) = 0.15104749281538795339189888850143 y1[1] (numeric) = 0.18667519782461022324790064380399 absolute error = 0.03562770500922226985600175530256 relative error = 23.58708797157386498005465735787 % h = 0.001 TOP MAIN SOLVE Loop memory used=5085.0MB, alloc=4.5MB, time=468.65 NO POLE NO POLE x[1] = 1.015 y2[1] (analytic) = 1.527619931548406782198957184002 y2[1] (numeric) = 1.3681452479270496946800339000256 absolute error = 0.1594746836213570875189232839764 relative error = 10.439421503208090309538766426145 % h = 0.001 y1[1] (analytic) = 0.15051944823153570826059971903376 y1[1] (numeric) = 0.1863063597179937120348282685808 absolute error = 0.03578691148645800377422854954704 relative error = 23.775606346502802233636406783787 % h = 0.001 TOP MAIN SOLVE Loop memory used=5088.8MB, alloc=4.5MB, time=468.92 memory used=5092.6MB, alloc=4.5MB, time=469.20 NO POLE NO POLE x[1] = 1.016 y2[1] (analytic) = 1.5267701873282746127493146815114 y2[1] (numeric) = 1.3667580766281242712671287579931 absolute error = 0.1600121107001503414821859235183 relative error = 10.480431962072740161793336957318 % h = 0.001 y1[1] (analytic) = 0.14999225312816444154997125176595 y1[1] (numeric) = 0.18593890791030654311573974992139 absolute error = 0.03594665478214210156576849815544 relative error = 23.965674248140421626944996436299 % h = 0.001 TOP MAIN SOLVE Loop memory used=5096.5MB, alloc=4.5MB, time=469.47 NO POLE NO POLE x[1] = 1.017 y2[1] (analytic) = 1.5259199163379990125392068687629 y2[1] (numeric) = 1.36536916015077417887094608448 absolute error = 0.1605507561872248336682607842829 relative error = 10.521571575821940162577756080321 % h = 0.001 y1[1] (analytic) = 0.14946590803246921269835638081839 y1[1] (numeric) = 0.18557284414646361444191290970075 absolute error = 0.03610693611399440174355652888236 relative error = 24.157305561714257152561941462425 % h = 0.001 TOP MAIN SOLVE Loop memory used=5100.3MB, alloc=4.5MB, time=469.74 NO POLE NO POLE memory used=5104.1MB, alloc=4.5MB, time=470.02 x[1] = 1.018 y2[1] (analytic) = 1.5250691194278509009883204614282 y2[1] (numeric) = 1.3639784979686543656584801508008 absolute error = 0.1610906214591965353298403106274 relative error = 10.562840687485150388024753617964 % h = 0.001 y1[1] (analytic) = 0.14894041347079507353889411193989 y1[1] (numeric) = 0.18520817017190659406415868649281 absolute error = 0.03626775670111152052526457455292 relative error = 24.350514313714504575003048946667 % h = 0.001 TOP MAIN SOLVE Loop memory used=5107.9MB, alloc=4.5MB, time=470.29 NO POLE NO POLE x[1] = 1.019 y2[1] (analytic) = 1.5242177974486271173450268613758 y2[1] (numeric) = 1.3625860895562703137469371702294 absolute error = 0.1616317078923568035980896911464 relative error = 10.60423964100868643644854359753 % h = 0.001 y1[1] (analytic) = 0.14841576996863654195451159145488 y1[1] (numeric) = 0.1848448877326030698619725717087 absolute error = 0.03642911776396652790746098025382 relative error = 24.54531467354499281122981351824 % h = 0.001 TOP MAIN SOLVE Loop memory used=5111.7MB, alloc=4.5MB, time=470.56 NO POLE NO POLE x[1] = 1.02 y2[1] (analytic) = 1.5233659512516495698896138080338 y2[1] (numeric) = 1.3611919343889785646982093895844 absolute error = 0.1621740168626710051914044184494 relative error = 10.645768781258586358014536196926 % h = 0.001 y1[1] (analytic) = 0.14789197805063707638345001454462 y1[1] (numeric) = 0.18448299857504569874676626087708 absolute error = 0.03659102052440862236331624633246 relative error = 24.741720955196189359678111395607 % h = 0.001 TOP MAIN SOLVE Loop memory used=5115.5MB, alloc=4.5MB, time=470.83 memory used=5119.4MB, alloc=4.5MB, time=471.11 NO POLE NO POLE x[1] = 1.021 y2[1] (analytic) = 1.5225135816887643846124480415924 y2[1] (numeric) = 1.3597960319429872441622898070501 absolute error = 0.1627175497457771404501582345423 relative error = 10.687428454023487599215556074635 % h = 0.001 y1[1] (analytic) = 0.14736903824058855117584990729276 y1[1] (numeric) = 0.18412250444625135534003031676405 absolute error = 0.03675346620566280416418040947129 relative error = 24.939747618940571967944693209943 % h = 0.001 TOP MAIN SOLVE Loop memory used=5123.2MB, alloc=4.5MB, time=471.37 NO POLE NO POLE x[1] = 1.022 y2[1] (analytic) = 1.5216606896123410533679202998119 y2[1] (numeric) = 1.3583983816953565856691028728621 absolute error = 0.1632623079169844676988174269498 relative error = 10.729219006017514001718334041344 % h = 0.001 y1[1] (analytic) = 0.14684695106143073280192042586617 y1[1] (numeric) = 0.18376340709376028012727916609896 absolute error = 0.03691645603232954732535874023279 relative error = 25.139409273050704326063777743295 % h = 0.001 TOP MAIN SOLVE Loop memory used=5127.0MB, alloc=4.5MB, time=471.64 memory used=5130.8MB, alloc=4.5MB, time=471.92 NO POLE NO POLE x[1] = 1.023 y2[1] (analytic) = 1.5208072758752715815050244944202 y2[1] (numeric) = 1.3569989831239994535682273810706 absolute error = 0.1638082927512721279367971133496 relative error = 10.771140784883172895317551505903 % h = 0.001 y1[1] (analytic) = 0.1463257170352507569122164646183 y1[1] (numeric) = 0.18340570826563522708863027589021 absolute error = 0.03707999123038447017641381127191 relative error = 25.340720675540359273466127138597 % h = 0.001 TOP MAIN SOLVE Loop memory used=5134.6MB, alloc=4.5MB, time=472.19 NO POLE NO POLE x[1] = 1.024 y2[1] (analytic) = 1.5199533413309696349754234364508 y2[1] (numeric) = 1.3555978357076818651159886127016 absolute error = 0.1643555056232877698594348237492 relative error = 10.813194139194262324909070568688 % h = 0.001 y1[1] (analytic) = 0.14580533668328260625054651279403 y1[1] (numeric) = 0.1830494097104606108068698786808 absolute error = 0.03724407302717800455632336588677 relative error = 25.543696735929038815377545405989 % h = 0.001 TOP MAIN SOLVE Loop memory used=5138.4MB, alloc=4.5MB, time=472.47 memory used=5142.2MB, alloc=4.5MB, time=472.75 NO POLE NO POLE x[1] = 1.025 y2[1] (analytic) = 1.5190988868333696869198540023831 y2[1] (numeric) = 1.3541949389260235117093976432678 absolute error = 0.1649039479073461752104563591153 relative error = 10.855379418458788451569181501097 % h = 0.001 y1[1] (analytic) = 0.14528581052590658942003334688506 y1[1] (numeric) = 0.1826945131773416530538581386068 absolute error = 0.03740870265143506363382479172174 relative error = 25.748352517030246160766638665058 % h = 0.001 TOP MAIN SOLVE Loop memory used=5146.1MB, alloc=4.5MB, time=473.02 NO POLE NO POLE x[1] = 1.026 y2[1] (analytic) = 1.5182439132369261637337251546087 y2[1] (numeric) = 1.3527902922594982792664165807334 absolute error = 0.1654536209774278844673085738753 relative error = 10.897696973121893168002748127242 % h = 0.001 y1[1] (analytic) = 0.14476713908264882050284879253134 y1[1] (numeric) = 0.18234102041590352885612717178251 absolute error = 0.03757388133325470835327837925117 relative error = 25.954703236763871021225557158138 % h = 0.001 TOP MAIN SOLVE Loop memory used=5149.9MB, alloc=4.5MB, time=473.40 memory used=5153.7MB, alloc=4.5MB, time=474.06 NO POLE NO POLE x[1] = 1.027 y2[1] (analytic) = 1.5173884213966125906127627505561 y2[1] (numeric) = 1.3513838951894347677520293537104 absolute error = 0.1660045262071778228607333968457 relative error = 10.940147154568791968800034824261 % h = 0.001 y1[1] (analytic) = 0.14424932287218069953414293619066 y1[1] (numeric) = 0.18198893317629051204052585534311 absolute error = 0.03773961030410981250638291915245 relative error = 26.162764269993055550644933179648 % h = 0.001 TOP MAIN SOLVE Loop memory used=5157.5MB, alloc=4.5MB, time=474.70 NO POLE NO POLE x[1] = 1.028 y2[1] (analytic) = 1.5165324121679207365795555947563 y2[1] (numeric) = 1.3499757471980168098495985238596 absolute error = 0.1665566649699039267299570708967 relative error = 10.982730315127722116119761018399 % h = 0.001 y1[1] (analytic) = 0.1437323624123183938306873126038 y1[1] (numeric) = 0.18163825320916512026076587942876 absolute error = 0.03790589079684672643007856682496 relative error = 26.372551150385914561559152691155 % h = 0.001 TOP MAIN SOLVE Loop memory used=5161.3MB, alloc=4.5MB, time=475.34 memory used=5165.1MB, alloc=4.5MB, time=476.00 NO POLE NO POLE x[1] = 1.029 y2[1] (analytic) = 1.5156758864068597589918577072318 y2[1] (numeric) = 1.3485658477682839887769894511822 absolute error = 0.1671100386385757702148682560496 relative error = 11.025446808072901141594554739701 % h = 0.001 y1[1] (analytic) = 0.14321625822002232017475073936883 y1[1] (numeric) = 0.18128898226570725950572401549288 absolute error = 0.03807272404568493933097327612405 relative error = 26.584079572302490027976701178528 % h = 0.001 TOP MAIN SOLVE Loop memory used=5168.9MB, alloc=4.5MB, time=476.66 NO POLE NO POLE x[1] = 1.03 y2[1] (analytic) = 1.5148188449699553475335022998374 y2[1] (numeric) = 1.347154196384132155246943996121 absolute error = 0.1676646485858231922865583037164 relative error = 11.068296987627495725434470598883 % h = 0.001 y1[1] (analytic) = 0.14270101081139662785372561470558 y1[1] (numeric) = 0.18094112209761336809035609256105 absolute error = 0.03824011128621674023663047785547 relative error = 26.79736539270732637881256426434 % h = 0.001 TOP MAIN SOLVE Loop memory used=5172.8MB, alloc=4.5MB, time=477.30 NO POLE NO POLE memory used=5176.6MB, alloc=4.5MB, time=477.94 x[1] = 1.031 y2[1] (analytic) = 1.5139612887142488676887834695646 y2[1] (numeric) = 1.345740792530313943571186798141 absolute error = 0.1682204961839349241175966714236 relative error = 11.111281208966600993884604081909 % h = 0.001 y1[1] (analytic) = 0.14218662070168868255602163874092 y1[1] (numeric) = 0.18059467445709556013007869045519 absolute error = 0.03840805375540687757405705171427 relative error = 27.012424633108059703200516221882 % h = 0.001 TOP MAIN SOLVE Loop memory used=5180.4MB, alloc=4.5MB, time=478.60 NO POLE NO POLE x[1] = 1.032 y2[1] (analytic) = 1.5131032184972965037011621343598 y2[1] (numeric) = 1.3443256356924392869077480267258 absolute error = 0.168777582804857216793414107634 relative error = 11.15439982822023027637407796594 % h = 0.001 y1[1] (analytic) = 0.14167308840528855112374306237812 y1[1] (numeric) = 0.18024964109688076849947507553 absolute error = 0.03857655269159221737573201315188 relative error = 27.229273481520420731533931363588 % h = 0.001 TOP MAIN SOLVE Loop memory used=5184.2MB, alloc=4.5MB, time=479.25 NO POLE NO POLE x[1] = 1.033 y2[1] (analytic) = 1.5122446351771684010171532526755 y2[1] (numeric) = 1.3429087253569759316509873575096 absolute error = 0.1693359098201924693661658951659 relative error = 11.197653202476315363875802613408 % h = 0.001 y1[1] (analytic) = 0.14116041443572848716266471103004 y1[1] (numeric) = 0.17990602377020988727618242014426 absolute error = 0.03874560933448140011351770911422 relative error = 27.447928294460058326673580671258 % h = 0.001 TOP MAIN SOLVE Loop memory used=5188.0MB, alloc=4.5MB, time=479.89 memory used=5191.8MB, alloc=4.5MB, time=480.55 NO POLE NO POLE x[1] = 1.034 y2[1] (analytic) = 1.5113855396124478082162518827991 y2[1] (numeric) = 1.341490061011249950963804783565 absolute error = 0.1698954786011978572524470992341 relative error = 11.241041689783717310179424597935 % h = 0.001 y1[1] (analytic) = 0.14064859930568241751002117319736 y1[1] (numeric) = 0.17956382423083691367081786190833 absolute error = 0.03891522492515449616079668871097 relative error = 27.668405598961597221037960415851 % h = 0.001 TOP MAIN SOLVE Loop memory used=5195.6MB, alloc=4.5MB, time=481.19 NO POLE NO POLE x[1] = 1.035 y2[1] (analytic) = 1.510525932662230218427756151959 y2[1] (numeric) = 1.3400696421434462574515247296767 absolute error = 0.1704562905187839609762314222823 relative error = 11.284565649155247817963782280359 % h = 0.001 y1[1] (analytic) = 0.14013764352696542956062268605983 y1[1] (numeric) = 0.17922304423302808944380147271024 absolute error = 0.03908540070606265988317878665041 relative error = 27.890722094625350869984879885034 % h = 0.001 TOP MAIN SOLVE Loop memory used=5199.5MB, alloc=4.5MB, time=481.83 memory used=5203.3MB, alloc=4.5MB, time=482.51 NO POLE NO POLE x[1] = 1.036 y2[1] (analytic) = 1.5096658151861225102353457183156 y2[1] (numeric) = 1.3386474682426091149769407957615 absolute error = 0.1710183469435133952584049225541 relative error = 11.328225440570701251739987337809 % h = 0.001 y1[1] (analytic) = 0.13962754761053325945181039192184 y1[1] (numeric) = 0.17888368553156104180993472062596 absolute error = 0.03925613792102778235812432870412 relative error = 28.114894655692117562793249250158 % h = 0.001 TOP MAIN SOLVE Loop memory used=5207.1MB, alloc=4.5MB, time=483.16 NO POLE NO POLE x[1] = 1.037 y2[1] (analytic) = 1.5088051880442420880702748211855 y2[1] (numeric) = 1.3372235387986426496160093144313 absolute error = 0.1715816492455994384542655067542 relative error = 11.372021424979897319921952633028 % h = 0.001 y1[1] (analytic) = 0.1391183120664817811077627805146 y1[1] (numeric) = 0.17854574988172392383159352006366 absolute error = 0.03942743781524214272383073954906 relative error = 28.340940333146495342515822632531 % h = 0.001 TOP MAIN SOLVE Loop memory used=5210.9MB, alloc=4.5MB, time=483.79 memory used=5214.7MB, alloc=4.5MB, time=484.46 NO POLE NO POLE x[1] = 1.038 y2[1] (analytic) = 1.5079440520972160220940395262352 y2[1] (numeric) = 1.3357978533023113597536807670489 absolute error = 0.1721461987949046623403587591863 relative error = 11.415953964305734468467794002407 % h = 0.001 y1[1] (analytic) = 0.13860993740404649614366427280568 y1[1] (numeric) = 0.17820923903931455430139547687739 absolute error = 0.03959930163526805815773120407171 relative error = 28.568876356849158837916832264927 % h = 0.001 TOP MAIN SOLVE Loop memory used=5218.5MB, alloc=4.5MB, time=485.10 NO POLE NO POLE x[1] = 1.039 y2[1] (analytic) = 1.5070824082061801875713792829054 y2[1] (numeric) = 1.3343704112452406253193589624869 absolute error = 0.1727119969609395622520203204185 relative error = 11.460023421447254028723051374737 % h = 0.001 y1[1] (analytic) = 0.13810242413160202463024604210498 y1[1] (numeric) = 0.17787415476063955711520144571119 absolute error = 0.03977173062903753248495540360621 relative error = 28.798720137698548807619576982964 % h = 0.001 TOP MAIN SOLVE Loop memory used=5222.3MB, alloc=4.5MB, time=485.74 memory used=5226.2MB, alloc=4.5MB, time=486.40 NO POLE NO POLE x[1] = 1.04 y2[1] (analytic) = 1.5062202572327784037344734209922 y2[1] (numeric) = 1.3329412121199172161614787431738 absolute error = 0.1732790451128611875729946778184 relative error = 11.504230160282715162285107971533 % h = 0.001 y1[1] (analytic) = 0.13759577275666159671920830788383 y1[1] (numeric) = 0.17754049880251350013631202650037 absolute error = 0.03994472604585190341710371861654 relative error = 29.030489269822433041523150690003 % h = 0.001 TOP MAIN SOLVE Loop memory used=5230.0MB, alloc=4.5MB, time=487.05 NO POLE NO POLE x[1] = 1.041 y2[1] (analytic) = 1.5053576000391615721391937221164 y2[1] (numeric) = 1.3315102554196897995606938438912 absolute error = 0.1738473446194717725784998782252 relative error = 11.548574545672680645897540076073 % h = 0.001 y1[1] (analytic) = 0.13708998378587654513003247684256 y1[1] (numeric) = 0.17720827292225803355172013586171 absolute error = 0.04011828913638148842168765901915 relative error = 29.264201532799805260629831421663 % h = 0.001 TOP MAIN SOLVE Loop memory used=5233.8MB, alloc=4.5MB, time=487.68 NO POLE NO POLE memory used=5237.6MB, alloc=4.5MB, time=488.34 x[1] = 1.042 y2[1] (analytic) = 1.5044944374879868145142747097584 y2[1] (numeric) = 1.3300775406387694468811673901772 absolute error = 0.1744168968492173676331073195812 relative error = 11.593056943463113539573408911589 % h = 0.001 y1[1] (analytic) = 0.13658505772503579849869064437203 y1[1] (numeric) = 0.17687747887770102772128129704823 absolute error = 0.0402924211526652292225906526762 relative error = 29.499874893913596806852331173926 % h = 0.001 TOP MAIN SOLVE Loop memory used=5241.4MB, alloc=4.5MB, time=488.99 NO POLE NO POLE x[1] = 1.043 y2[1] (analytic) = 1.5036307704424166101042638086145 y2[1] (numeric) = 1.3286430672722301393594583850874 absolute error = 0.1749877031701864707448054235271 relative error = 11.637677720488484781337715487924 % h = 0.001 y1[1] (analytic) = 0.13608099507906537558875910765756 y1[1] (numeric) = 0.17654811842717571052066379922633 absolute error = 0.04046712334811033493190469156877 relative error = 29.737527510434684222413969524838 % h = 0.001 TOP MAIN SOLVE Loop memory used=5245.2MB, alloc=4.5MB, time=489.63 NO POLE NO POLE x[1] = 1.044 y2[1] (analytic) = 1.5027665997661179325071140302536 y2[1] (numeric) = 1.3272068348160092730304983954689 absolute error = 0.1755597649501086594766156347847 relative error = 11.682437244574891752171383838357 % h = 0.001 y1[1] (analytic) = 0.13557779635202788036544167926943 y1[1] (numeric) = 0.17622019332951980417894138305328 absolute error = 0.04064239697749192381349970378385 relative error = 29.977177731937684287461266271383 % h = 0.001 TOP MAIN SOLVE Loop memory used=5249.1MB, alloc=4.5MB, time=490.28 memory used=5252.9MB, alloc=4.5MB, time=490.94 NO POLE NO POLE x[1] = 1.045 y2[1] (analytic) = 1.5019019263232613860072823474097 y2[1] (numeric) = 1.3257688427669081627901535118131 absolute error = 0.1761330835563532232171288355966 relative error = 11.727335884543187854932222879855 % h = 0.001 y1[1] (analytic) = 0.13507546204712199793300772717468 y1[1] (numeric) = 0.17589370534407466161169161489053 absolute error = 0.04081824329695266367868388771585 relative error = 30.21884410264903671790127297327 % h = 0.001 TOP MAIN SOLVE Loop memory used=5256.7MB, alloc=4.5MB, time=491.60 NO POLE NO POLE x[1] = 1.046 y2[1] (analytic) = 1.5010367509785203414051974237396 y2[1] (numeric) = 1.3243290906225925455938675191675 absolute error = 0.1767076603559277958113299045721 relative error = 11.772374010212123151222347226812 % h = 0.001 y1[1] (analytic) = 0.13457399266668199133614900369011 y1[1] (numeric) = 0.1755686562306844022504636164823 absolute error = 0.04099466356400241091431461279219 relative error = 30.462545363827883526758381622268 % h = 0.001 TOP MAIN SOLVE Loop memory used=5260.5MB, alloc=4.5MB, time=492.26 memory used=5264.3MB, alloc=4.5MB, time=492.92 NO POLE NO POLE x[1] = 1.047 y2[1] (analytic) = 1.500171074597070071343960869506 y2[1] (numeric) = 1.3228875778815930827908830805044 absolute error = 0.1772834967154769885530777890016 relative error = 11.817551992401496100366517735076 % h = 0.001 y1[1] (analytic) = 0.1340733887121771992257584619777 y1[1] (numeric) = 0.17524504774969504736947932055994 absolute error = 0.04117165903751784814372085858224 relative error = 30.708300456180263025101933106869 % h = 0.001 TOP MAIN SOLVE Loop memory used=5268.1MB, alloc=4.5MB, time=493.56 NO POLE NO POLE x[1] = 1.048 y2[1] (analytic) = 1.4993048980445868851341466964129 y2[1] (numeric) = 1.3214443040433058615935385983683 absolute error = 0.1778605940012810235406080980446 relative error = 11.862870202935316444861798443878 % h = 0.001 y1[1] (analytic) = 0.13357365068421153438963339426183 y1[1] (numeric) = 0.17492288166195365491043292559854 absolute error = 0.04134923097774212052079953133671 relative error = 30.956128522307145586494689659391 % h = 0.001 TOP MAIN SOLVE Loop memory used=5271.9MB, alloc=4.5MB, time=494.20 memory used=5275.8MB, alloc=4.5MB, time=494.86 NO POLE NO POLE x[1] = 1.049 y2[1] (analytic) = 1.4984382221872472630775641467215 y2[1] (numeric) = 1.3199992686079928956811392855461 absolute error = 0.1784389535792543673964248611754 relative error = 11.908329014644979286855823042723 % h = 0.001 y1[1] (analytic) = 0.13307477908252298314860436102333 y1[1] (numeric) = 0.17460215972880745380625372485438 absolute error = 0.04152738064628447065764936383105 relative error = 31.206048909186847625706646144066 % h = 0.001 TOP MAIN SOLVE Loop memory used=5279.6MB, alloc=4.5MB, time=495.51 NO POLE NO POLE x[1] = 1.05 y2[1] (analytic) = 1.4975710478917269902908495728121 y2[1] (numeric) = 1.3185524710767826249379018409311 absolute error = 0.179018576814944365352947731881 relative error = 11.953928801372450400408826171914 % h = 0.001 y1[1] (analytic) = 0.13257677440598310561859051499973 y1[1] (numeric) = 0.17428288371210297780469798584819 absolute error = 0.04170610930611987218610747084846 relative error = 31.458081170692369751969927861205 % h = 0.001 TOP MAIN SOLVE Loop memory used=5283.4MB, alloc=4.5MB, time=496.15 memory used=5287.2MB, alloc=4.5MB, time=496.81 NO POLE NO POLE x[1] = 1.051 y2[1] (analytic) = 1.4967033760252002900297535435273 y2[1] (numeric) = 1.3171039109516704143244729926776 absolute error = 0.1795994650735298757052805508497 relative error = 11.999669937973462824493427953406 % h = 0.001 y1[1] (analytic) = 0.1320796371525965368390810578947 y1[1] (numeric) = 0.17396505537418519879263605663014 absolute error = 0.04188541822158866195355499873544 relative error = 31.712245070144214753249749922355 % h = 0.001 TOP MAIN SOLVE Loop memory used=5291.0MB, alloc=4.5MB, time=497.47 NO POLE NO POLE x[1] = 1.052 y2[1] (analytic) = 1.4958352074553389565149898529376 y2[1] (numeric) = 1.3156535877355190518825230371694 absolute error = 0.1801816197198199046324668157682 relative error = 12.045552800320724781885969357508 % h = 0.001 y1[1] (analytic) = 0.13158336781950048876854170127377 y1[1] (numeric) = 0.17364867647789665962190137446732 absolute error = 0.04206530865839617085335967319355 relative error = 31.968560582899250954896866025077 % h = 0.001 TOP MAIN SOLVE Loop memory used=5294.8MB, alloc=4.5MB, time=498.11 memory used=5298.6MB, alloc=4.5MB, time=498.77 NO POLE NO POLE x[1] = 1.053 y2[1] (analytic) = 1.4949665430503114872605136056084 y2[1] (numeric) = 1.3142015009320592458719163692499 absolute error = 0.1807650421182522413885972363585 relative error = 12.09157776530713896930398658524 % h = 0.001 y1[1] (analytic) = 0.13108796690296425314724413619817 y1[1] (numeric) = 0.17333374878657660643756855103231 absolute error = 0.04224578188361235329032441483414 relative error = 32.227047898976196577746403096271 % h = 0.001 TOP MAIN SOLVE Loop memory used=5302.5MB, alloc=4.5MB, time=499.42 NO POLE NO POLE x[1] = 1.054 y2[1] (analytic) = 1.4940973836787822149050960500167 y2[1] (numeric) = 1.3127476500458901210399618665845 absolute error = 0.1813497336328920938651341834322 relative error = 12.137745210849033264346189861333 % h = 0.001 y1[1] (analytic) = 0.13059343489838870522801564872615 y1[1] (numeric) = 0.17302027406406012050952820574255 absolute error = 0.0424268391656714152815125570164 relative error = 32.487727425718311001451178178265 % h = 0.001 TOP MAIN SOLVE Loop memory used=5306.3MB, alloc=4.5MB, time=500.06 NO POLE NO POLE memory used=5310.1MB, alloc=4.5MB, time=500.72 x[1] = 1.055 y2[1] (analytic) = 1.4932277302099104385480643284723 y2[1] (numeric) = 1.3112920345824797140222468589472 absolute error = 0.1819356956274307245258174695251 relative error = 12.184055515889402894994081195424 % h = 0.001 y1[1] (analytic) = 0.13009977230030580837540515049052 y1[1] (numeric) = 0.17270825407467724956822671560331 absolute error = 0.04260848177437144119282156511279 relative error = 32.750619790493889322898636655529 % h = 0.001 TOP MAIN SOLVE Loop memory used=5313.9MB, alloc=4.5MB, time=501.36 NO POLE NO POLE x[1] = 1.056 y2[1] (analytic) = 1.4923575835133495545900748077295 y2[1] (numeric) = 1.3098346540481654678745592816376 absolute error = 0.1825229294651840867155155260919 relative error = 12.230509060401164117638112115968 % h = 0.001 y1[1] (analytic) = 0.12960697960237811953376102514534 y1[1] (numeric) = 0.17239769058325213864543954574205 absolute error = 0.04279071098087401911167852059671 relative error = 33.015745843435167291375483267085 % h = 0.001 TOP MAIN SOLVE Loop memory used=5317.7MB, alloc=4.5MB, time=502.03 NO POLE NO POLE x[1] = 1.057 y2[1] (analytic) = 1.491486944459246187079789149445 y2[1] (numeric) = 1.3083755079501547257354034811477 absolute error = 0.1831114365090914613443856682973 relative error = 12.277106225390419449796051481702 % h = 0.001 y1[1] (analytic) = 0.12911505729739829556471532256259 y1[1] (numeric) = 0.17208858535510216042094731978855 absolute error = 0.04297352805770386485623199722596 relative error = 33.283126660216254606233490363565 % h = 0.001 TOP MAIN SOLVE Loop memory used=5321.5MB, alloc=4.5MB, time=502.67 memory used=5325.3MB, alloc=4.5MB, time=503.33 NO POLE NO POLE x[1] = 1.058 y2[1] (analytic) = 1.4906158139182393175673227737323 y2[1] (numeric) = 1.3069145957965252236186160106044 absolute error = 0.1837012181217140939487067631279 relative error = 12.323847392899734503897010628625 % h = 0.001 y1[1] (analytic) = 0.12862400587728860045456796325345 y1[1] (numeric) = 0.17178094015603704507598428335209 absolute error = 0.04315693427874844462141632009864 relative error = 33.552783544870725683801677737074 % h = 0.001 TOP MAIN SOLVE Loop memory used=5329.2MB, alloc=4.5MB, time=503.97 NO POLE NO POLE x[1] = 1.059 y2[1] (analytic) = 1.4897441927614594144653358622922 y2[1] (numeric) = 1.3054519170962255823355886224124 absolute error = 0.1842922756652338321297472398798 relative error = 12.370732946011426468711363748812 % h = 0.001 y1[1] (analytic) = 0.12813382583310041339206374558905 y1[1] (numeric) = 0.17147475675235800965432930707487 absolute error = 0.04334093091925759626226556148582 relative error = 33.824738032649508342921861399189 % h = 0.001 TOP MAIN SOLVE Loop memory used=5333.0MB, alloc=4.5MB, time=504.62 memory used=5336.8MB, alloc=4.5MB, time=505.27 NO POLE NO POLE x[1] = 1.06 y2[1] (analytic) = 1.4888720818605275619186375399564 y2[1] (numeric) = 1.3039874713590757985466065359152 absolute error = 0.1848846105014517633720310040412 relative error = 12.417763268850864285214610983738 % h = 0.001 y1[1] (analytic) = 0.12764451765501373771705407800258 y1[1] (numeric) = 0.171170036910856886931910068098 absolute error = 0.04352551925584314921485599009542 relative error = 34.099011892919722427607072598001 % h = 0.001 TOP MAIN SOLVE Loop memory used=5340.6MB, alloc=4.5MB, time=505.92 NO POLE NO POLE x[1] = 1.061 y2[1] (analytic) = 1.4879994820875545881831743649656 y2[1] (numeric) = 1.3025212580957677349408109287779 absolute error = 0.1854782239917868532423634361877 relative error = 12.464938746589780563882065744729 % h = 0.001 y1[1] (analytic) = 0.12715608183233671074053448747008 y1[1] (numeric) = 0.17086678239881525379579154026336 absolute error = 0.04371070056647854305525705279328 relative error = 34.375627132105132185901881970264 % h = 0.001 TOP MAIN SOLVE Loop memory used=5344.4MB, alloc=4.5MB, time=506.56 memory used=5348.2MB, alloc=4.5MB, time=507.22 NO POLE NO POLE x[1] = 1.062 y2[1] (analytic) = 1.4871263943151401935152747489234 y2[1] (numeric) = 1.3010532768178656095442954721693 absolute error = 0.1860731174972745839709792767541 relative error = 12.512259765449595290621111775282 % h = 0.001 y1[1] (analytic) = 0.12666851885350511443654808419172 y1[1] (numeric) = 0.17056499498400355913342041399015 absolute error = 0.04389647613049844469687232979843 relative error = 34.654605996668888261145267587296 % h = 0.001 TOP MAIN SOLVE Loop memory used=5352.1MB, alloc=4.5MB, time=507.86 NO POLE NO POLE x[1] = 1.063 y2[1] (analytic) = 1.486252819416372077572021417107 y2[1] (numeric) = 1.2995835270378064841558476016875 absolute error = 0.1866692923785655934161738154195 relative error = 12.559726712704751368758675003121 % h = 0.001 y1[1] (analytic) = 0.12618182920608188700644429052911 y1[1] (numeric) = 0.17026467643468025123299755650905 absolute error = 0.04408284722859836422655326597994 relative error = 34.935970976139247430707165972584 % h = 0.001 TOP MAIN SOLVE Loop memory used=5355.9MB, alloc=4.5MB, time=508.51 memory used=5359.7MB, alloc=4.5MB, time=509.18 NO POLE NO POLE x[1] = 1.064 y2[1] (analytic) = 1.4853787582648250663236245086903 y2[1] (numeric) = 1.2981120082689007519098460883293 absolute error = 0.187266749995924314413778420361 relative error = 12.607339976686062044713495888018 % h = 0.001 y1[1] (analytic) = 0.12569601337675663531598126989944 y1[1] (numeric) = 0.16996582851959090469585111200883 absolute error = 0.04426981514283426937986984210939 relative error = 35.219744806178970753221013404788 % h = 0.001 TOP MAIN SOLVE Loop memory used=5363.5MB, alloc=4.5MB, time=509.82 NO POLE NO POLE x[1] = 1.065 y2[1] (analytic) = 1.4845042117345602384786684044334 y2[1] (numeric) = 1.2966387200253326239658273466453 absolute error = 0.1878654917092276145128410577881 relative error = 12.655099946784070265195775379802 % h = 0.001 y1[1] (analytic) = 0.12521107185134514820575961848314 y1[1] (numeric) = 0.16966845300796734686168332924955 absolute error = 0.04445738115662219865592371076641 relative error = 35.505950471699113563826385649543 % h = 0.001 TOP MAIN SOLVE Loop memory used=5367.3MB, alloc=4.5MB, time=510.47 memory used=5371.1MB, alloc=4.5MB, time=511.12 NO POLE NO POLE x[1] = 1.066 y2[1] (analytic) = 1.4836291807001240514231058565195 y2[1] (numeric) = 1.2951636618221606153242337905559 absolute error = 0.1884655188779634360988720659636 relative error = 12.703007013452420013990807418341 % h = 0.001 y1[1] (analytic) = 0.12472700511478891067547400927103 y1[1] (numeric) = 0.1693725516695267837475646913227 absolute error = 0.04464554655473787307209068205167 relative error = 35.794611210017933793559774486877 % h = 0.001 TOP MAIN SOLVE Loop memory used=5374.9MB, alloc=4.5MB, time=511.78 NO POLE NO POLE x[1] = 1.067 y2[1] (analytic) = 1.4827536660365474666738734814705 y2[1] (numeric) = 1.2936868331753180297678584211196 absolute error = 0.1890668328612294369060150603509 relative error = 12.751061568211239676598308825747 % h = 0.001 y1[1] (analytic) = 0.12424381365115461894246860415874 y1[1] (numeric) = 0.16907812627447092550154940849132 absolute error = 0.04483431262331630655908080433258 relative error = 36.085750514065658389514060556911 % h = 0.001 TOP MAIN SOLVE Loop memory used=5378.8MB, alloc=4.5MB, time=512.43 NO POLE NO POLE x[1] = 1.068 y2[1] (analytic) = 1.4818776686193450748480031624552 y2[1] (numeric) = 1.2922082336016134439285007048503 absolute error = 0.1896694350177316309195024576049 relative error = 12.799264003650537481215319186423 % h = 0.001 y1[1] (analytic) = 0.1237614979436336963750811754925 memory used=5382.6MB, alloc=4.5MB, time=513.08 y1[1] (numeric) = 0.16878517859348511137178682042176 absolute error = 0.04502368064985141499670564492926 relative error = 36.379392135635861182593309525948 % h = 0.001 TOP MAIN SOLVE Loop memory used=5386.4MB, alloc=4.5MB, time=513.74 NO POLE NO POLE x[1] = 1.069 y2[1] (analytic) = 1.4810011893245142201481043918041 y2[1] (numeric) = 1.290727862618731190478349675967 absolute error = 0.1902733267057830296697547158371 relative error = 12.84761471343360906476777464154 % h = 0.001 y1[1] (analytic) = 0.12328005847454181030126000368204 y1[1] (numeric) = 0.16849371039773743419200373862272 absolute error = 0.04521365192319562389074373494068 relative error = 36.67556008868421939562621017158 % h = 0.001 TOP MAIN SOLVE Loop memory used=5390.2MB, alloc=4.5MB, time=514.38 NO POLE NO POLE x[1] = 1.07 y2[1] (analytic) = 1.4801242290285341243650930681759 y2[1] (numeric) = 1.2892457197452318404456110712339 absolute error = 0.190878509283302283919481996942 relative error = 12.896114092300457212914166234708 % h = 0.001 y1[1] (analytic) = 0.12279949572531838969293674222318 y1[1] (numeric) = 0.16820372345887786438423324353629 absolute error = 0.04540422773355947469129650131311 relative error = 36.974278652675430112421719866602 % h = 0.001 TOP MAIN SOLVE Loop memory used=5394.0MB, alloc=4.5MB, time=515.04 memory used=5397.8MB, alloc=4.5MB, time=515.70 NO POLE NO POLE x[1] = 1.071 y2[1] (analytic) = 1.4792467886083650103990427455749 y2[1] (numeric) = 1.2877618045005526846538961818037 absolute error = 0.1914849841078123257451465637712 relative error = 12.94476253607122382316408136221 % h = 0.001 y1[1] (analytic) = 0.1223198101765261437266375657173 y1[1] (numeric) = 0.16791521954903737347966593347916 absolute error = 0.04559540937251122975302836776186 relative error = 37.275572375979082444356906143038 % h = 0.001 TOP MAIN SOLVE Loop memory used=5401.6MB, alloc=4.5MB, time=516.34 NO POLE NO POLE x[1] = 1.072 y2[1] (analytic) = 1.478368868941447225299034813293 y2[1] (numeric) = 1.286276116405008214284890982715 absolute error = 0.192092752536439011014143830578 relative error = 12.993560441649634140474901865496 % h = 0.001 y1[1] (analytic) = 0.12184100230785058122081404023625 y1[1] (numeric) = 0.16762820044082705715850010450979 absolute error = 0.04578719813297647593768606427354 relative error = 37.579466079315295841735828677722 % h = 0.001 TOP MAIN SOLVE Loop memory used=5405.5MB, alloc=4.5MB, time=516.98 memory used=5409.3MB, alloc=4.5MB, time=517.64 NO POLE NO POLE x[1] = 1.073 y2[1] (analytic) = 1.4774904709057003628228845668551 y2[1] (numeric) = 1.2847886549797906005638249774153 absolute error = 0.1927018159259097622590595894398 relative error = 13.042508207026453314911500252483 % h = 0.001 y1[1] (analytic) = 0.12136307259809953095037427866185 y1[1] (numeric) = 0.16734266790733725780966782129816 absolute error = 0.04597959530923772685929354263631 relative error = 37.885984859250950009063542649548 % h = 0.001 TOP MAIN SOLVE Loop memory used=5413.1MB, alloc=4.5MB, time=518.28 NO POLE NO POLE x[1] = 1.074 y2[1] (analytic) = 1.4766115953795223855176206101673 y2[1] (numeric) = 1.2832994197469701735672600718806 absolute error = 0.1933121756325522119503605382867 relative error = 13.09160623128295533117644237788 % h = 0.001 y1[1] (analytic) = 0.12088602152520266283889406642884 y1[1] (numeric) = 0.16705862372213668661131431919902 absolute error = 0.04617260219693402377242025277018 relative error = 38.195154091747347203316735526399 % h = 0.001 TOP MAIN SOLVE Loop memory used=5416.9MB, alloc=4.5MB, time=518.93 memory used=5420.7MB, alloc=4.5MB, time=519.58 NO POLE NO POLE x[1] = 1.075 y2[1] (analytic) = 1.4757322432417887463215955083164 y2[1] (numeric) = 1.2818084102294959001527206705822 absolute error = 0.1939238330122928461688748377342 relative error = 13.140854914594404360041976617988 % h = 0.001 y1[1] (analytic) = 0.12040984956621101002898676542027 y1[1] (numeric) = 0.16677606965927154513290865697604 absolute error = 0.04636622009306053510392189155577 relative error = 38.506999435760163329204105218175 % h = 0.001 TOP MAIN SOLVE Loop memory used=5424.5MB, alloc=4.5MB, time=520.23 NO POLE NO POLE x[1] = 1.076 y2[1] (analytic) = 1.4748524153718515096891060888357 y2[1] (numeric) = 1.2803156259511958610096870647109 absolute error = 0.1945367894206556486794190241248 relative error = 13.190254658233548581939972142622 % h = 0.001 y1[1] (analytic) = 0.11993455719729649183130992560556 y1[1] (numeric) = 0.16649500749326464645986401799295 absolute error = 0.04656045029596815462855409238739 relative error = 38.821546836892560202407889445306 % h = 0.001 TOP MAIN SOLVE Loop memory used=5428.3MB, alloc=4.5MB, time=520.87 memory used=5432.2MB, alloc=4.5MB, time=521.53 NO POLE NO POLE x[1] = 1.077 y2[1] (analytic) = 1.4739721126495384722384022667445 y2[1] (numeric) = 1.2788210664367777268314750617046 absolute error = 0.1951510462127607454069272050399 relative error = 13.239805864574126533191968353547 % h = 0.001 y1[1] (analytic) = 0.11946014489375143755268565537494 y1[1] (numeric) = 0.16621543899911453584154653517825 absolute error = 0.04675529410536309828886087980331 relative error = 39.1388225311023476381706170004 % h = 0.001 TOP MAIN SOLVE Loop memory used=5436.0MB, alloc=4.5MB, time=522.19 NO POLE NO POLE x[1] = 1.078 y2[1] (analytic) = 1.4730913359551522829239637452787 y2[1] (numeric) = 1.27732473121182923360752568424 absolute error = 0.1957666047433230493164380610387 relative error = 13.289508937094386025588619996674 % h = 0.001 y1[1] (analytic) = 0.11898661312998811120381092241007 y1[1] (numeric) = 0.16593736595229461086355199168125 absolute error = 0.04695075282230649965974106927118 relative error = 39.458853048464100645805606684552 % h = 0.001 TOP MAIN SOLVE Loop memory used=5439.8MB, alloc=4.5MB, time=522.83 NO POLE NO POLE memory used=5443.6MB, alloc=4.5MB, time=523.49 x[1] = 1.079 y2[1] (analytic) = 1.472210086169469562733924419963 y2[1] (numeric) = 1.2758266198028186570356296464373 absolute error = 0.1963834663666509056982947735257 relative error = 13.339364280380615690256073973194 % h = 0.001 y1[1] (analytic) = 0.11851396237953823708703307734115 y1[1] (numeric) = 0.16566079012875224114513022486954 absolute error = 0.04714682774921400405809714752839 relative error = 39.781665216987153977418012023026 % h = 0.001 TOP MAIN SOLVE Loop memory used=5447.4MB, alloc=4.5MB, time=524.13 NO POLE NO POLE x[1] = 1.08 y2[1] (analytic) = 1.471328364173740023913524788526 y2[1] (numeric) = 1.2743267317370952860536121950939 absolute error = 0.1970016324366447378599125934321 relative error = 13.389372300130689196976200616594 % h = 0.001 y1[1] (analytic) = 0.11804219311505252626466501237524 y1[1] (numeric) = 0.16538571330490788756263753617004 absolute error = 0.0473435201898553612979725237948 relative error = 40.107286166490413599166853419265 % h = 0.001 TOP MAIN SOLVE Loop memory used=5451.2MB, alloc=4.5MB, time=524.77 NO POLE NO POLE x[1] = 1.081 y2[1] (analytic) = 1.4704461708496855887154731431336 y2[1] (numeric) = 1.2728250665428898954900047843011 absolute error = 0.1976211043067956932254683588325 relative error = 13.439533403157622200358130349682 % h = 0.001 y1[1] (analytic) = 0.11757130580830020390831348654134 y1[1] (numeric) = 0.16511213725765422099989788322786 absolute error = 0.04754083144935401709158439668652 relative error = 40.435743332534942333813665403914 % h = 0.001 TOP MAIN SOLVE Loop memory used=5455.0MB, alloc=4.5MB, time=525.42 memory used=5458.9MB, alloc=4.5MB, time=526.09 NO POLE NO POLE x[1] = 1.082 y2[1] (analytic) = 1.4695635070794995076780967945048 y2[1] (numeric) = 1.2713216237493152178332309328121 absolute error = 0.1982418833301842898448658616927 relative error = 13.489847997393142064490222404912 % h = 0.001 y1[1] (analytic) = 0.11710130093016853752969326818436 y1[1] (numeric) = 0.16484006376435524062635410394836 absolute error = 0.047738762834186703096660835764 relative error = 40.767064460415294972326136697441 % h = 0.001 TOP MAIN SOLVE Loop memory used=5462.7MB, alloc=4.5MB, time=526.73 NO POLE NO POLE x[1] = 1.083 y2[1] (analytic) = 1.4686803737458454774321650496862 y2[1] (numeric) = 1.2698164028863664141188344950138 absolute error = 0.1988639708594790633133305546724 relative error = 13.540316491891270417934421937533 % h = 0.001 y1[1] (analytic) = 0.11663217895066236609339886385476 y1[1] (numeric) = 0.16456949460284539170389089419766 absolute error = 0.0479373156521830256104920303429 relative error = 41.101277609210596578376691783459 % h = 0.001 TOP MAIN SOLVE Loop memory used=5466.5MB, alloc=4.5MB, time=527.38 memory used=5470.3MB, alloc=4.5MB, time=528.04 NO POLE NO POLE x[1] = 1.084 y2[1] (analytic) = 1.4677967717318567580372661365885 y2[1] (numeric) = 1.2683094034849215439342794583148 absolute error = 0.1994873682469352141029866782737 relative error = 13.590939296831918591158951674872 % h = 0.001 y1[1] (analytic) = 0.11616394033890363001210472078256 y1[1] (numeric) = 0.16430043155142868292321173226513 absolute error = 0.04813649121252505291110701148257 relative error = 41.438411155896376521348387844026 % h = 0.001 TOP MAIN SOLVE Loop memory used=5474.1MB, alloc=4.5MB, time=528.68 NO POLE NO POLE x[1] = 1.085 y2[1] (analytic) = 1.466912701921135289848620738834 y2[1] (numeric) = 1.2668006250767420345408512621871 absolute error = 0.2001120768443932553077694766469 relative error = 13.641716823524495988740440555896 % h = 0.001 y1[1] (analytic) = 0.11569658556313090202466390769669 y1[1] (numeric) = 0.16403287638887780327065241363741 absolute error = 0.04833629082574690124598850594072 relative error = 41.778493799518189979802292267836 % h = 0.001 TOP MAIN SOLVE Loop memory used=5477.9MB, alloc=4.5MB, time=529.32 memory used=5481.8MB, alloc=4.5MB, time=529.99 NO POLE NO POLE x[1] = 1.086 y2[1] (analytic) = 1.4660281651977508099152152740286 y2[1] (numeric) = 1.2652900671944731491121905170015 absolute error = 0.2007380980032776608030247570271 relative error = 13.692649484411531448902920988361 % h = 0.001 y1[1] (analytic) = 0.11523011509069891895757439585166 y1[1] (numeric) = 0.16376683089443323842631432919678 absolute error = 0.04853671580373431946873993334512 relative error = 42.121554565428078267362522926584 % h = 0.001 TOP MAIN SOLVE Loop memory used=5485.6MB, alloc=4.5MB, time=530.63 NO POLE NO POLE x[1] = 1.087 y2[1] (analytic) = 1.4651431624462399679101385172507 y2[1] (numeric) = 1.2637777293716444540889908841599 absolute error = 0.2013654330745955138211476330908 relative error = 13.743737693072307643198634791369 % h = 0.001 y1[1] (analytic) = 0.11476452938807811437028117875633 y1[1] (numeric) = 0.16350229684780238669440108863699 absolute error = 0.04873776745972427232411990988066 relative error = 42.467622809584939355956622861143 % h = 0.001 TOP MAIN SOLVE Loop memory used=5489.4MB, alloc=4.5MB, time=531.27 memory used=5493.2MB, alloc=4.5MB, time=531.95 NO POLE NO POLE x[1] = 1.088 y2[1] (analytic) = 1.4642576945516054415940056393479 y2[1] (numeric) = 1.2622636111426702856493937628667 absolute error = 0.2019940834089351559446118764812 relative error = 13.794981864226508569374282039981 % h = 0.001 y1[1] (analytic) = 0.11429982892085415208478158526382 y1[1] (numeric) = 0.16323927602915867446664255868628 absolute error = 0.04893944710830452238186097342246 relative error = 42.816728222919900416863754032956 % h = 0.001 TOP MAIN SOLVE Loop memory used=5497.0MB, alloc=4.5MB, time=532.61 NO POLE NO POLE x[1] = 1.089 y2[1] (analytic) = 1.4633717623993150518123541965422 y2[1] (numeric) = 1.2607477120428502152946133131837 absolute error = 0.2026240503564648365177408833585 relative error = 13.84638241373788019070623336665 % h = 0.001 y1[1] (analytic) = 0.11383601415372746060000025637812 y1[1] (numeric) = 0.16297777021914067121969085263976 absolute error = 0.04914175606541321061969059626164 relative error = 43.168900835767805077866185939594 % h = 0.001 TOP MAIN SOLVE Loop memory used=5500.8MB, alloc=4.5MB, time=533.25 memory used=5504.6MB, alloc=4.5MB, time=533.92 NO POLE NO POLE x[1] = 1.09 y2[1] (analytic) = 1.4624853668753008770278970738751 y2[1] (numeric) = 1.2592300316083695145493262297811 absolute error = 0.203255335266931362478570844094 relative error = 13.897939758617904275329311320538 % h = 0.001 y1[1] (analytic) = 0.11337308555051276839139937136395 y1[1] (numeric) = 0.16271778119885120404737327373155 absolute error = 0.0493446956483384356559739023676 relative error = 43.524171022365949415013169466651 % h = 0.001 TOP MAIN SOLVE Loop memory used=5508.5MB, alloc=4.5MB, time=534.56 NO POLE NO POLE x[1] = 1.091 y2[1] (analytic) = 1.4615985088659583673885178501657 y2[1] (numeric) = 1.2577105693762996187763615660352 absolute error = 0.2038879394896587486121562841305 relative error = 13.949654317029485489326036697115 % h = 0.001 y1[1] (analytic) = 0.1129110435741386400962888235106 y1[1] (numeric) = 0.16245931074985647172868768001979 absolute error = 0.04954826717571783163239885650919 relative error = 43.882569505421222470387341691053 % h = 0.001 TOP MAIN SOLVE Loop memory used=5512.3MB, alloc=4.5MB, time=535.19 NO POLE NO POLE memory used=5516.1MB, alloc=4.5MB, time=535.84 x[1] = 1.092 y2[1] (analytic) = 1.4607111892581454583318945164118 y2[1] (numeric) = 1.25618932488459859010522679382 absolute error = 0.2045218643735468682266677225918 relative error = 14.001526508290651797586737924465 % h = 0.001 y1[1] (analytic) = 0.11244988868664701358530016020116 y1[1] (numeric) = 0.16220236065418515833242620271542 absolute error = 0.04975247196753814474712604251426 relative error = 44.244127360746829323370474278349 % h = 0.001 TOP MAIN SOLVE Loop memory used=5519.9MB, alloc=4.5MB, time=536.50 NO POLE NO POLE x[1] = 1.093 y2[1] (analytic) = 1.4598234089391816837276379429376 y2[1] (numeric) = 1.254666297672111579474007170506 absolute error = 0.2051571112670701042536307724316 relative error = 14.053556752878268226695642264469 % h = 0.001 y1[1] (analytic) = 0.11198962134919273792048721577454 y1[1] (numeric) = 0.16194693269432754635931371325716 absolute error = 0.04995731134513480843882649748262 relative error = 44.608876021969797453064368848933 % h = 0.001 TOP MAIN SOLVE Loop memory used=5523.7MB, alloc=4.5MB, time=537.14 NO POLE NO POLE x[1] = 1.094 y2[1] (analytic) = 1.4589351687968472885578319530748 y2[1] (numeric) = 1.2531414872785712877841763713059 absolute error = 0.2057936815182760007736555817689 relative error = 14.105745472431764044344013432293 % h = 0.001 y1[1] (analytic) = 0.11153024202204311220051547904107 y1[1] (numeric) = 0.16169302865323462942254789692024 absolute error = 0.05016278663119151722203241787917 relative error = 44.976847285310490324836671794728 % h = 0.001 TOP MAIN SOLVE Loop memory used=5527.5MB, alloc=4.5MB, time=537.78 memory used=5531.3MB, alloc=4.5MB, time=538.46 NO POLE NO POLE x[1] = 1.095 y2[1] (analytic) = 1.4580464697193823411368623227636 y2[1] (numeric) = 1.2516148932445984261678572321936 absolute error = 0.20643157647478391496900509057 relative error = 14.158093089756873410018577971874 % h = 0.001 y1[1] (analytic) = 0.11107175116457742529340135022401 y1[1] (numeric) = 0.16144065031431722446762825234492 absolute error = 0.05036889914973979917422690212091 relative error = 45.348073314435375825816546182459 % h = 0.001 TOP MAIN SOLVE Loop memory used=5535.2MB, alloc=4.5MB, time=539.10 NO POLE NO POLE x[1] = 1.096 y2[1] (analytic) = 1.4571573125954858448714224861697 y2[1] (numeric) = 1.2500865151117021753670723361753 absolute error = 0.2070707974837836695043501499944 relative error = 14.210600028829389551961899102764 % h = 0.001 y1[1] (analytic) = 0.11061414923528649645726155454927 y1[1] (numeric) = 0.16118979946144508353236179708184 absolute error = 0.05057565022615858707510024253257 relative error = 45.72258664538432137423912791023 % h = 0.001 TOP MAIN SOLVE Loop memory used=5539.0MB, alloc=4.5MB, time=539.74 memory used=5542.8MB, alloc=4.5MB, time=540.40 NO POLE NO POLE x[1] = 1.097 y2[1] (analytic) = 1.4562676983143148495615841872392 y2[1] (numeric) = 1.2485563524222806442245250637 absolute error = 0.2077113458920342053370591235392 relative error = 14.263266714798932525651018571417 % h = 0.001 y1[1] (analytic) = 0.11015743669177221684953209169568 y1[1] (numeric) = 0.16094047787894600504793371907439 absolute error = 0.05078304118717378819840162737871 relative error = 46.10042019157371224780762776161 % h = 0.001 TOP MAIN SOLVE Loop memory used=5546.6MB, alloc=4.5MB, time=541.03 NO POLE NO POLE x[1] = 1.098 y2[1] (analytic) = 1.4553776277654835622438217760449 y2[1] (numeric) = 1.2470244047196213272854526164665 absolute error = 0.2083532230458622349583691595784 relative error = 14.316093573992730609291601132808 % h = 0.001 y1[1] (analytic) = 0.10970161399074709192511521184868 y1[1] (numeric) = 0.16069268735160494468193167293348 absolute error = 0.0509910733608578527568164610848 relative error = 46.4816072488767149289927563584 % h = 0.001 TOP MAIN SOLVE Loop memory used=5550.4MB, alloc=4.5MB, time=541.69 memory used=5554.2MB, alloc=4.5MB, time=542.35 NO POLE NO POLE x[1] = 1.099 y2[1] (analytic) = 1.4544871018390624575768793068267 y2[1] (numeric) = 1.2454906715479015615100934128119 absolute error = 0.2089964302911608960667858940148 relative error = 14.369081033919415392076989533932 % h = 0.001 y1[1] (analytic) = 0.10924668158803378472391202017221 y1[1] (numeric) = 0.16044642966466312572421287790624 absolute error = 0.05119974807662934100030085773403 relative error = 46.866181500782033063022168922023 % h = 0.001 TOP MAIN SOLVE Loop memory used=5558.0MB, alloc=4.5MB, time=542.99 NO POLE NO POLE x[1] = 1.1 y2[1] (analytic) = 1.4535961214255773877713700517847 y2[1] (numeric) = 1.2439551524521889820963121422526 absolute error = 0.2096409689733884056750579095321 relative error = 14.422229523272830611215017186591 % h = 0.001 y1[1] (analytic) = 0.1087926399385646600481974221283 y1[1] (numeric) = 0.1602017066038171490165036315975 absolute error = 0.0514090666652524889683062094692 relative error = 47.254177023632529980154392282213 % h = 0.001 Finished! Maximum Iterations Reached before Solution Completed! diff ( y2 , x , 3 ) = m1 * cos(x) ; diff ( y1 , x , 1 ) = m1 * y2 + 1.0; Iterations = 1000 Total Elapsed Time = 9 Minutes 3 Seconds Elapsed Time(since restart) = 9 Minutes 3 Seconds Expected Time Remaining = 35 Minutes 16 Seconds Optimized Time Remaining = 35 Minutes 16 Seconds Time to Timeout = 5 Minutes 56 Seconds Percent Done = 20.43 % > quit memory used=5560.8MB, alloc=4.5MB, time=543.42