(%i1) batch(diffeq.max)
read and interpret file: /home/dennis/mastersource/mine/omnisode/diffeq.max
(%i2) load(stringproc)
(%o2) /usr/local/share/maxima/5.26.0/share/contrib/stringproc/stringproc.mac
(%i3) display_alot(iter) := if iter >= 0
then (ind_var : array_x , omniout_float(ALWAYS,
1
"x[1] ", 33, ind_var, 20, " "),
analytic_val_y : exact_soln_y(ind_var),
omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y,
20, " "), term_no : 1, numeric_val : array_y ,
term_no
abserr : abs(numeric_val - analytic_val_y),
omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val,
abserr 100.0
20, " "), if abs(analytic_val_y) # 0.0 then relerr : -------------------
abs(analytic_val_y)
else relerr : - 1.0, if glob_iter = 1 then array_1st_rel_error : relerr
1
else array_last_rel_error : relerr, omniout_float(ALWAYS,
1
"absolute error ", 4, abserr, 20, " "),
omniout_float(ALWAYS, "relative error ", 4, relerr, 20,
"%"), omniout_float(ALWAYS, "h ", 4, glob_h,
20, " "))
(%o3) display_alot(iter) := if iter >= 0
then (ind_var : array_x , omniout_float(ALWAYS,
1
"x[1] ", 33, ind_var, 20, " "),
analytic_val_y : exact_soln_y(ind_var),
omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y,
20, " "), term_no : 1, numeric_val : array_y ,
term_no
abserr : abs(numeric_val - analytic_val_y),
omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val,
abserr 100.0
20, " "), if abs(analytic_val_y) # 0.0 then relerr : -------------------
abs(analytic_val_y)
else relerr : - 1.0, if glob_iter = 1 then array_1st_rel_error : relerr
1
else array_last_rel_error : relerr, omniout_float(ALWAYS,
1
"absolute error ", 4, abserr, 20, " "),
omniout_float(ALWAYS, "relative error ", 4, relerr, 20,
"%"), omniout_float(ALWAYS, "h ", 4, glob_h,
20, " "))
(%i4) adjust_for_pole(h_param) := block(hnew : h_param,
glob_normmax : glob_small_float, if !array_y_higher ! > glob_small_float
! 1, 1!
then (tmp : !array_y_higher !, if tmp < glob_normmax
! 1, 1!
then glob_normmax : tmp), if glob_look_poles
and (!array_pole ! > glob_small_float) and (array_pole # glob_large_float)
! 1! 1
array_pole
1
then (sz2 : -----------, if sz2 < hnew
10.0
then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity."), omniout_str(INFO, "Reached Optimal"), newline(),
return(hnew))), 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 ), hnew : sz2)
1
(%o4) adjust_for_pole(h_param) := block(hnew : h_param,
glob_normmax : glob_small_float, if !array_y_higher ! > glob_small_float
! 1, 1!
then (tmp : !array_y_higher !, if tmp < glob_normmax
! 1, 1!
then glob_normmax : tmp), if glob_look_poles
and (!array_pole ! > glob_small_float) and (array_pole # glob_large_float)
! 1! 1
array_pole
1
then (sz2 : -----------, if sz2 < hnew
10.0
then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity."), omniout_str(INFO, "Reached Optimal"), newline(),
return(hnew))), 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 ), hnew : sz2)
1
(%i5) prog_report(x_start, x_end) := (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(clock_sec1) + convfloat(glob_orig_start_sec)
+ convfloat(glob_max_sec), expect_sec :
comp_expect_sec(convfloat(x_end), convfloat(x_start),
convfloat(glob_h) + convfloat(array_x ),
1
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(glob_h) + convfloat(array_x ),
1
convfloat(opt_clock_sec)), percent_done :
comp_percent(convfloat(x_end), convfloat(x_start),
convfloat(glob_h) + convfloat(array_x )), glob_percent_done : percent_done,
1
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))),
omniout_str_noeol(INFO, "Time to Timeout "),
omniout_timestr(convfloat(left_sec)), omniout_float(INFO,
"Percent Done ", 33, percent_done, 4, "%"))
(%o5) prog_report(x_start, x_end) := (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(clock_sec1) + convfloat(glob_orig_start_sec)
+ convfloat(glob_max_sec), expect_sec :
comp_expect_sec(convfloat(x_end), convfloat(x_start),
convfloat(glob_h) + convfloat(array_x ),
1
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(glob_h) + convfloat(array_x ),
1
convfloat(opt_clock_sec)), percent_done :
comp_percent(convfloat(x_end), convfloat(x_start),
convfloat(glob_h) + convfloat(array_x )), glob_percent_done : percent_done,
1
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))),
omniout_str_noeol(INFO, "Time to Timeout "),
omniout_timestr(convfloat(left_sec)), omniout_float(INFO,
"Percent Done ", 33, percent_done, 4, "%"))
(%i6) check_for_pole() := (n : glob_max_terms, m : - 1 - 1 + n,
while (m >= 10) and ((!array_y_higher ! < glob_small_float)
! 1, m!
or (!array_y_higher ! < glob_small_float)
! 1, m - 1!
or (!array_y_higher ! < glob_small_float)) do m : m - 1,
! 1, m - 2!
array_y_higher array_y_higher
1, m 1, m - 1
if m > 10 then (rm0 : ----------------------, rm1 : ----------------------,
array_y_higher array_y_higher
1, m - 1 1, m - 2
hdrc : convfloat(m - 1) rm0 - convfloat(m - 2) rm1,
glob_h
if abs(hdrc) > glob_small_float then (rcs : ------,
hdrc
convfloat(m - 1) rm0
ord_no : 2.0 - convfloat(m) + --------------------, array_real_pole : rcs,
hdrc 1, 1
array_real_pole : ord_no) else (array_real_pole : glob_large_float,
1, 2 1, 1
array_real_pole : glob_large_float))
1, 2
else (array_real_pole : glob_large_float,
1, 1
array_real_pole : glob_large_float), n : - 1 - 1 + glob_max_terms,
1, 2
cnt : 0, while (cnt < 5) and (n >= 10) do (if !array_y_higher ! >
! 1, n!
glob_small_float then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n,
if m <= 10 then (array_complex_pole : glob_large_float,
1, 1
array_complex_pole : glob_large_float)
1, 2
elseif (!array_y_higher ! >= glob_large_float)
! 1, m!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 1!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 2!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 3!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 4!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 5!
then (array_complex_pole : glob_large_float,
1, 1
array_complex_pole : glob_large_float)
1, 2
array_y_higher array_y_higher
1, m 1, m - 1
else (rm0 : ----------------------, rm1 : ----------------------,
array_y_higher array_y_higher
1, m - 1 1, m - 2
array_y_higher array_y_higher
1, m - 2 1, m - 3
rm2 : ----------------------, rm3 : ----------------------,
array_y_higher array_y_higher
1, m - 3 1, m - 4
array_y_higher
1, m - 4
rm4 : ----------------------, nr1 : convfloat(m - 3) rm2
array_y_higher
1, m - 5
- 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0,
nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1,
- 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0
dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---,
rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1
5.0 8.0 3.0
ds2 : --- - --- + ---, if (abs(nr1 dr2 - nr2 dr1) <= glob_small_float)
rm4 rm3 rm2
or (abs(dr1) <= glob_small_float) then (array_complex_pole :
1, 1
glob_large_float, array_complex_pole : glob_large_float)
1, 2
else (if abs(nr1 dr2 - nr2 dr1) > glob_small_float
dr1 dr2 - ds2 dr1 + ds1 dr2
then (rcs : ---------------------------,
nr1 dr2 - nr2 dr1
rcs nr1 - ds1 convfloat(m)
ord_no : ------------- - ------------,
2.0 dr1 2.0
if abs(rcs) > glob_small_float then (if rcs > 0.0 then rad_c : sqrt(rcs) glob_h
else rad_c : glob_large_float) else (rad_c : glob_large_float,
ord_no : glob_large_float)) else (rad_c : glob_large_float,
ord_no : glob_large_float)), array_complex_pole : rad_c,
1, 1
array_complex_pole : ord_no), found : false,
1, 2
if (not found) and ((array_real_pole = glob_large_float)
1, 1
or (array_real_pole = glob_large_float))
1, 2
and ((array_complex_pole # glob_large_float) and (array_complex_pole # glob_large_float))
1, 1 1, 2
and ((array_complex_pole > 0.0) and (array_complex_pole > 0.0))
1, 1 1, 2
then (array_poles : array_complex_pole ,
1, 1 1, 1
array_poles : array_complex_pole , found : true, array_type_pole : 2,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS,
"Complex estimate of poles used")), if (not found)
and ((array_real_pole # glob_large_float) and (array_real_pole # glob_large_float)
1, 1 1, 2
and (array_real_pole > 0.0) and (array_real_pole > 0.0)
1, 1 1, 2
and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float) or (array_complex_pole <= 0.0) or (array_complex_pole <= 0.0)))
1, 1 1, 2 1, 1 1, 2
then (array_poles : array_real_pole ,
1, 1 1, 1
array_poles : array_real_pole , found : true, array_type_pole : 1,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")),
if (not found) and (((array_real_pole = glob_large_float)
1, 1
or (array_real_pole = glob_large_float))
1, 2
and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float)))
1, 1 1, 2
then (array_poles : glob_large_float, array_poles : glob_large_float,
1, 1 1, 2
found : true, array_type_pole : 3, if glob_display_flag
1
then omniout_str(ALWAYS, "NO POLE")),
if (not found) and ((array_real_pole < array_complex_pole )
1, 1 1, 1
and (array_real_pole > 0.0) and (array_real_pole >
1, 1 1, 2
0.0))
then (array_poles : array_real_pole ,
1, 1 1, 1
array_poles : array_real_pole , found : true, array_type_pole : 1,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")),
if (not found) and ((array_complex_pole # glob_large_float)
1, 1
and (array_complex_pole # glob_large_float)
1, 2
and (array_complex_pole > 0.0) and (array_complex_pole >
1, 1 1, 2
0.0))
then (array_poles : array_complex_pole ,
1, 1 1, 1
array_poles : array_complex_pole , array_type_pole : 2, found : true,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS,
"Complex estimate of poles used")), if not found
then (array_poles : glob_large_float, array_poles : glob_large_float,
1, 1 1, 2
array_type_pole : 3, if glob_display_flag
1
then omniout_str(ALWAYS, "NO POLE")), array_pole : glob_large_float,
1
array_pole : glob_large_float, if array_pole > array_poles
2 1 1, 1
then (array_pole : array_poles , array_pole : array_poles ),
1 1, 1 2 1, 2
display_pole())
(%o6) check_for_pole() := (n : glob_max_terms, m : - 1 - 1 + n,
while (m >= 10) and ((!array_y_higher ! < glob_small_float)
! 1, m!
or (!array_y_higher ! < glob_small_float)
! 1, m - 1!
or (!array_y_higher ! < glob_small_float)) do m : m - 1,
! 1, m - 2!
array_y_higher array_y_higher
1, m 1, m - 1
if m > 10 then (rm0 : ----------------------, rm1 : ----------------------,
array_y_higher array_y_higher
1, m - 1 1, m - 2
hdrc : convfloat(m - 1) rm0 - convfloat(m - 2) rm1,
glob_h
if abs(hdrc) > glob_small_float then (rcs : ------,
hdrc
convfloat(m - 1) rm0
ord_no : 2.0 - convfloat(m) + --------------------, array_real_pole : rcs,
hdrc 1, 1
array_real_pole : ord_no) else (array_real_pole : glob_large_float,
1, 2 1, 1
array_real_pole : glob_large_float))
1, 2
else (array_real_pole : glob_large_float,
1, 1
array_real_pole : glob_large_float), n : - 1 - 1 + glob_max_terms,
1, 2
cnt : 0, while (cnt < 5) and (n >= 10) do (if !array_y_higher ! >
! 1, n!
glob_small_float then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n,
if m <= 10 then (array_complex_pole : glob_large_float,
1, 1
array_complex_pole : glob_large_float)
1, 2
elseif (!array_y_higher ! >= glob_large_float)
! 1, m!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 1!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 2!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 3!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 4!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 5!
then (array_complex_pole : glob_large_float,
1, 1
array_complex_pole : glob_large_float)
1, 2
array_y_higher array_y_higher
1, m 1, m - 1
else (rm0 : ----------------------, rm1 : ----------------------,
array_y_higher array_y_higher
1, m - 1 1, m - 2
array_y_higher array_y_higher
1, m - 2 1, m - 3
rm2 : ----------------------, rm3 : ----------------------,
array_y_higher array_y_higher
1, m - 3 1, m - 4
array_y_higher
1, m - 4
rm4 : ----------------------, nr1 : convfloat(m - 3) rm2
array_y_higher
1, m - 5
- 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0,
nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1,
- 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0
dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---,
rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1
5.0 8.0 3.0
ds2 : --- - --- + ---, if (abs(nr1 dr2 - nr2 dr1) <= glob_small_float)
rm4 rm3 rm2
or (abs(dr1) <= glob_small_float) then (array_complex_pole :
1, 1
glob_large_float, array_complex_pole : glob_large_float)
1, 2
else (if abs(nr1 dr2 - nr2 dr1) > glob_small_float
dr1 dr2 - ds2 dr1 + ds1 dr2
then (rcs : ---------------------------,
nr1 dr2 - nr2 dr1
rcs nr1 - ds1 convfloat(m)
ord_no : ------------- - ------------,
2.0 dr1 2.0
if abs(rcs) > glob_small_float then (if rcs > 0.0 then rad_c : sqrt(rcs) glob_h
else rad_c : glob_large_float) else (rad_c : glob_large_float,
ord_no : glob_large_float)) else (rad_c : glob_large_float,
ord_no : glob_large_float)), array_complex_pole : rad_c,
1, 1
array_complex_pole : ord_no), found : false,
1, 2
if (not found) and ((array_real_pole = glob_large_float)
1, 1
or (array_real_pole = glob_large_float))
1, 2
and ((array_complex_pole # glob_large_float) and (array_complex_pole # glob_large_float))
1, 1 1, 2
and ((array_complex_pole > 0.0) and (array_complex_pole > 0.0))
1, 1 1, 2
then (array_poles : array_complex_pole ,
1, 1 1, 1
array_poles : array_complex_pole , found : true, array_type_pole : 2,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS,
"Complex estimate of poles used")), if (not found)
and ((array_real_pole # glob_large_float) and (array_real_pole # glob_large_float)
1, 1 1, 2
and (array_real_pole > 0.0) and (array_real_pole > 0.0)
1, 1 1, 2
and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float) or (array_complex_pole <= 0.0) or (array_complex_pole <= 0.0)))
1, 1 1, 2 1, 1 1, 2
then (array_poles : array_real_pole ,
1, 1 1, 1
array_poles : array_real_pole , found : true, array_type_pole : 1,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")),
if (not found) and (((array_real_pole = glob_large_float)
1, 1
or (array_real_pole = glob_large_float))
1, 2
and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float)))
1, 1 1, 2
then (array_poles : glob_large_float, array_poles : glob_large_float,
1, 1 1, 2
found : true, array_type_pole : 3, if glob_display_flag
1
then omniout_str(ALWAYS, "NO POLE")),
if (not found) and ((array_real_pole < array_complex_pole )
1, 1 1, 1
and (array_real_pole > 0.0) and (array_real_pole >
1, 1 1, 2
0.0))
then (array_poles : array_real_pole ,
1, 1 1, 1
array_poles : array_real_pole , found : true, array_type_pole : 1,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")),
if (not found) and ((array_complex_pole # glob_large_float)
1, 1
and (array_complex_pole # glob_large_float)
1, 2
and (array_complex_pole > 0.0) and (array_complex_pole >
1, 1 1, 2
0.0))
then (array_poles : array_complex_pole ,
1, 1 1, 1
array_poles : array_complex_pole , array_type_pole : 2, found : true,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS,
"Complex estimate of poles used")), if not found
then (array_poles : glob_large_float, array_poles : glob_large_float,
1, 1 1, 2
array_type_pole : 3, if glob_display_flag
1
then omniout_str(ALWAYS, "NO POLE")), array_pole : glob_large_float,
1
array_pole : glob_large_float, if array_pole > array_poles
2 1 1, 1
then (array_pole : array_poles , array_pole : array_poles ),
1 1, 1 2 1, 2
display_pole())
(%i7) get_norms() := if not glob_initial_pass
then (set_z(array_norms, 1 + glob_max_terms), iii : 1,
while iii <= glob_max_terms do (if !array_y ! > array_norms
! iii! iii
then array_norms : !array_y !, iii : 1 + iii))
iii ! iii!
(%o7) get_norms() := if not glob_initial_pass
then (set_z(array_norms, 1 + glob_max_terms), iii : 1,
while iii <= glob_max_terms do (if !array_y ! > array_norms
! iii! iii
then array_norms : !array_y !, iii : 1 + iii))
iii ! iii!
(%i8) atomall() := (array_tmp1 : sin(array_x ),
1 1
array_tmp1_g : cos(array_x ), array_tmp2_g : sin(array_x ),
1 1 1 1
array_tmp1
1
array_tmp2 : cos(array_x ), array_tmp3 : -----------,
1 1 1 array_tmp2
1
array_tmp4 : array_tmp3 + array_const_0D0 ,
1 1 1
if not array_y_set_initial then (if 1 <= glob_max_terms
1, 2
1
then (temporary : array_tmp4 glob_h factorial_3(0, 1),
1
array_y : temporary, array_y_higher : temporary,
2 1, 2
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 2,
glob_h 2, 1
array_tmp1 : att(1, array_tmp1_g, array_x, 1),
2
array_tmp1_g : - att(1, array_tmp1, array_x, 1),
2
array_tmp2_g : att(1, array_tmp2, array_x, 1),
2
array_tmp2 : - att(1, array_tmp2_g, array_x, 1),
2
array_tmp1 - ats(2, array_tmp2, array_tmp3, 2)
2
array_tmp3 : -----------------------------------------------,
2 array_tmp2
1
array_tmp4 : array_tmp3 + array_const_0D0 ,
2 2 2
if not array_y_set_initial then (if 2 <= glob_max_terms
1, 3
1
then (temporary : array_tmp4 glob_h factorial_3(1, 2),
2
array_y : temporary, array_y_higher : temporary,
3 1, 3
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 3,
glob_h 2, 2
array_tmp1 : att(2, array_tmp1_g, array_x, 1),
3
array_tmp1_g : - att(2, array_tmp1, array_x, 1),
3
array_tmp2_g : att(2, array_tmp2, array_x, 1),
3
array_tmp2 : - att(2, array_tmp2_g, array_x, 1),
3
array_tmp1 - ats(3, array_tmp2, array_tmp3, 2)
3
array_tmp3 : -----------------------------------------------,
3 array_tmp2
1
array_tmp4 : array_tmp3 + array_const_0D0 ,
3 3 3
if not array_y_set_initial then (if 3 <= glob_max_terms
1, 4
1
then (temporary : array_tmp4 glob_h factorial_3(2, 3),
3
array_y : temporary, array_y_higher : temporary,
4 1, 4
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 4,
glob_h 2, 3
array_tmp1 : att(3, array_tmp1_g, array_x, 1),
4
array_tmp1_g : - att(3, array_tmp1, array_x, 1),
4
array_tmp2_g : att(3, array_tmp2, array_x, 1),
4
array_tmp2 : - att(3, array_tmp2_g, array_x, 1),
4
array_tmp1 - ats(4, array_tmp2, array_tmp3, 2)
4
array_tmp3 : -----------------------------------------------,
4 array_tmp2
1
array_tmp4 : array_tmp3 + array_const_0D0 ,
4 4 4
if not array_y_set_initial then (if 4 <= glob_max_terms
1, 5
1
then (temporary : array_tmp4 glob_h factorial_3(3, 4),
4
array_y : temporary, array_y_higher : temporary,
5 1, 5
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 5,
glob_h 2, 4
array_tmp1 : att(4, array_tmp1_g, array_x, 1),
5
array_tmp1_g : - att(4, array_tmp1, array_x, 1),
5
array_tmp2_g : att(4, array_tmp2, array_x, 1),
5
array_tmp2 : - att(4, array_tmp2_g, array_x, 1),
5
array_tmp1 - ats(5, array_tmp2, array_tmp3, 2)
5
array_tmp3 : -----------------------------------------------,
5 array_tmp2
1
array_tmp4 : array_tmp3 + array_const_0D0 ,
5 5 5
if not array_y_set_initial then (if 5 <= glob_max_terms
1, 6
1
then (temporary : array_tmp4 glob_h factorial_3(4, 5),
5
array_y : temporary, array_y_higher : temporary,
6 1, 6
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 6,
glob_h 2, 5
while kkk <= glob_max_terms do (array_tmp1 :
kkk
att(kkk - 1, array_tmp1_g, array_x, 1),
array_tmp1_g : - att(kkk - 1, array_tmp1, array_x, 1),
kkk
array_tmp2_g : att(kkk - 1, array_tmp2, array_x, 1),
kkk
array_tmp2 : - att(kkk - 1, array_tmp2_g, array_x, 1),
kkk
array_tmp1 - ats(kkk, array_tmp2, array_tmp3, 2)
kkk
array_tmp3 : ---------------------------------------------------,
kkk array_tmp2
1
array_tmp4 : array_tmp3 + array_const_0D0 , order_d : 1,
kkk kkk kkk
if 1 + order_d + kkk <= glob_max_terms
then (if not array_y_set_initial
1, order_d + kkk
order_d
array_tmp4 glob_h
kkk
then (temporary : -----------------------------------------,
factorial_3(kkk - 1, - 1 + order_d + kkk)
array_y : temporary, array_y_higher : temporary,
order_d + kkk 1, order_d + kkk
term : - 1 + order_d + kkk, adj2 : 2, while (adj2 <= 1 + order_d)
temporary convfp(adj2)
and (term >= 1) do (temporary : ----------------------,
glob_h
array_y_higher : temporary, adj2 : 1 + adj2, term : term - 1))),
adj2, term
kkk : 1 + kkk))
(%o8) atomall() := (array_tmp1 : sin(array_x ),
1 1
array_tmp1_g : cos(array_x ), array_tmp2_g : sin(array_x ),
1 1 1 1
array_tmp1
1
array_tmp2 : cos(array_x ), array_tmp3 : -----------,
1 1 1 array_tmp2
1
array_tmp4 : array_tmp3 + array_const_0D0 ,
1 1 1
if not array_y_set_initial then (if 1 <= glob_max_terms
1, 2
1
then (temporary : array_tmp4 glob_h factorial_3(0, 1),
1
array_y : temporary, array_y_higher : temporary,
2 1, 2
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 2,
glob_h 2, 1
array_tmp1 : att(1, array_tmp1_g, array_x, 1),
2
array_tmp1_g : - att(1, array_tmp1, array_x, 1),
2
array_tmp2_g : att(1, array_tmp2, array_x, 1),
2
array_tmp2 : - att(1, array_tmp2_g, array_x, 1),
2
array_tmp1 - ats(2, array_tmp2, array_tmp3, 2)
2
array_tmp3 : -----------------------------------------------,
2 array_tmp2
1
array_tmp4 : array_tmp3 + array_const_0D0 ,
2 2 2
if not array_y_set_initial then (if 2 <= glob_max_terms
1, 3
1
then (temporary : array_tmp4 glob_h factorial_3(1, 2),
2
array_y : temporary, array_y_higher : temporary,
3 1, 3
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 3,
glob_h 2, 2
array_tmp1 : att(2, array_tmp1_g, array_x, 1),
3
array_tmp1_g : - att(2, array_tmp1, array_x, 1),
3
array_tmp2_g : att(2, array_tmp2, array_x, 1),
3
array_tmp2 : - att(2, array_tmp2_g, array_x, 1),
3
array_tmp1 - ats(3, array_tmp2, array_tmp3, 2)
3
array_tmp3 : -----------------------------------------------,
3 array_tmp2
1
array_tmp4 : array_tmp3 + array_const_0D0 ,
3 3 3
if not array_y_set_initial then (if 3 <= glob_max_terms
1, 4
1
then (temporary : array_tmp4 glob_h factorial_3(2, 3),
3
array_y : temporary, array_y_higher : temporary,
4 1, 4
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 4,
glob_h 2, 3
array_tmp1 : att(3, array_tmp1_g, array_x, 1),
4
array_tmp1_g : - att(3, array_tmp1, array_x, 1),
4
array_tmp2_g : att(3, array_tmp2, array_x, 1),
4
array_tmp2 : - att(3, array_tmp2_g, array_x, 1),
4
array_tmp1 - ats(4, array_tmp2, array_tmp3, 2)
4
array_tmp3 : -----------------------------------------------,
4 array_tmp2
1
array_tmp4 : array_tmp3 + array_const_0D0 ,
4 4 4
if not array_y_set_initial then (if 4 <= glob_max_terms
1, 5
1
then (temporary : array_tmp4 glob_h factorial_3(3, 4),
4
array_y : temporary, array_y_higher : temporary,
5 1, 5
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 5,
glob_h 2, 4
array_tmp1 : att(4, array_tmp1_g, array_x, 1),
5
array_tmp1_g : - att(4, array_tmp1, array_x, 1),
5
array_tmp2_g : att(4, array_tmp2, array_x, 1),
5
array_tmp2 : - att(4, array_tmp2_g, array_x, 1),
5
array_tmp1 - ats(5, array_tmp2, array_tmp3, 2)
5
array_tmp3 : -----------------------------------------------,
5 array_tmp2
1
array_tmp4 : array_tmp3 + array_const_0D0 ,
5 5 5
if not array_y_set_initial then (if 5 <= glob_max_terms
1, 6
1
then (temporary : array_tmp4 glob_h factorial_3(4, 5),
5
array_y : temporary, array_y_higher : temporary,
6 1, 6
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 6,
glob_h 2, 5
while kkk <= glob_max_terms do (array_tmp1 :
kkk
att(kkk - 1, array_tmp1_g, array_x, 1),
array_tmp1_g : - att(kkk - 1, array_tmp1, array_x, 1),
kkk
array_tmp2_g : att(kkk - 1, array_tmp2, array_x, 1),
kkk
array_tmp2 : - att(kkk - 1, array_tmp2_g, array_x, 1),
kkk
array_tmp1 - ats(kkk, array_tmp2, array_tmp3, 2)
kkk
array_tmp3 : ---------------------------------------------------,
kkk array_tmp2
1
array_tmp4 : array_tmp3 + array_const_0D0 , order_d : 1,
kkk kkk kkk
if 1 + order_d + kkk <= glob_max_terms
then (if not array_y_set_initial
1, order_d + kkk
order_d
array_tmp4 glob_h
kkk
then (temporary : -----------------------------------------,
factorial_3(kkk - 1, - 1 + order_d + kkk)
array_y : temporary, array_y_higher : temporary,
order_d + kkk 1, order_d + kkk
term : - 1 + order_d + kkk, adj2 : 2, while (adj2 <= 1 + order_d)
temporary convfp(adj2)
and (term >= 1) do (temporary : ----------------------,
glob_h
array_y_higher : temporary, adj2 : 1 + adj2, term : term - 1))),
adj2, term
kkk : 1 + kkk))
log(x)
(%i9) log10(x) := ---------
log(10.0)
log(x)
(%o9) log10(x) := ---------
log(10.0)
(%i10) omniout_str(iolevel, str) := if glob_iolevel >= iolevel
then printf(true, "~a~%", string(str))
(%o10) omniout_str(iolevel, str) := if glob_iolevel >= iolevel
then printf(true, "~a~%", string(str))
(%i11) omniout_str_noeol(iolevel, str) :=
if glob_iolevel >= iolevel then printf(true, "~a", string(str))
(%o11) omniout_str_noeol(iolevel, str) :=
if glob_iolevel >= iolevel then printf(true, "~a", string(str))
(%i12) omniout_labstr(iolevel, label, str) :=
if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label),
string(str))
(%o12) omniout_labstr(iolevel, label, str) :=
if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label),
string(str))
(%i13) omniout_float(iolevel, prelabel, prelen, value, vallen, postlabel) :=
if glob_iolevel >= iolevel then (if vallen = 4
then printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel)
else printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel))
(%o13) omniout_float(iolevel, prelabel, prelen, value, vallen, postlabel) :=
if glob_iolevel >= iolevel then (if vallen = 4
then printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel)
else printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel))
(%i14) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) :=
if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value,
postlabel), newline())
(%o14) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) :=
if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value,
postlabel), newline())
(%i15) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen,
postlabel) := if glob_iolevel >= iolevel
then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline())
(%o15) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen,
postlabel) := if glob_iolevel >= iolevel
then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline())
(%i16) dump_series(iolevel, dump_label, series_name, array_series, numb) :=
if glob_iolevel >= iolevel then (i : 1,
while i <= numb do (sprint(dump_label, series_name, "i = ", i, "series = ",
array_series ), newline(), i : 1 + i))
i
(%o16) dump_series(iolevel, dump_label, series_name, array_series, numb) :=
if glob_iolevel >= iolevel then (i : 1,
while i <= numb do (sprint(dump_label, series_name, "i = ", i, "series = ",
array_series ), newline(), i : 1 + i))
i
(%i17) dump_series_2(iolevel, dump_label, series_name, array_series2, numb,
subnum) := if glob_iolevel >= iolevel then (sub : 1,
while sub <= subnum do (i : 1, while i <=
num do (sprint(dump_label, series_name, "sub = ", sub, "i = ", i,
"series2 = ", array_series2 ), i : 1 + i), sub : 1 + sub))
sub, i
(%o17) dump_series_2(iolevel, dump_label, series_name, array_series2, numb,
subnum) := if glob_iolevel >= iolevel then (sub : 1,
while sub <= subnum do (i : 1, while i <=
num do (sprint(dump_label, series_name, "sub = ", sub, "i = ", i,
"series2 = ", array_series2 ), i : 1 + i), sub : 1 + sub))
sub, i
(%i18) cs_info(iolevel, str) := if glob_iolevel >= iolevel
then sprint(concat("cs_info ", str, " glob_correct_start_flag = ",
glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ",
glob_reached_optimal_h))
(%o18) cs_info(iolevel, str) := if glob_iolevel >= iolevel
then sprint(concat("cs_info ", str, " glob_correct_start_flag = ",
glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ",
glob_reached_optimal_h))
(%i19) logitem_time(fd, secs_in) := (secs : secs_in, printf(fd, "
"),
if secs >= 0.0 then (sec_in_millinium :
sec_in_min min_in_hour hours_in_day days_in_year years_in_century
secs
centuries_in_millinium, milliniums : ----------------,
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 printf(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)
elseif cent_int > 0 then printf(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) elseif years_int > 0
then printf(fd, "~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", years_int,
days_int, hours_int, minutes_int, sec_int) elseif days_int > 0
then printf(fd, "~d Days ~d Hours ~d Minutes ~d Seconds", days_int,
hours_int, minutes_int, sec_int) elseif hours_int > 0
then printf(fd, "~d Hours ~d Minutes ~d Seconds", hours_int, minutes_int,
sec_int) elseif minutes_int > 0 then printf(fd, "~d Minutes ~d Seconds",
minutes_int, sec_int) else printf(fd, "~d Seconds", sec_int))
else printf(fd, "Unknown"), printf(fd, " | "))
(%o19) logitem_time(fd, secs_in) := (secs : secs_in, printf(fd, ""),
if secs >= 0.0 then (sec_in_millinium :
sec_in_min min_in_hour hours_in_day days_in_year years_in_century
secs
centuries_in_millinium, milliniums : ----------------,
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 printf(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)
elseif cent_int > 0 then printf(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) elseif years_int > 0
then printf(fd, "~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", years_int,
days_int, hours_int, minutes_int, sec_int) elseif days_int > 0
then printf(fd, "~d Days ~d Hours ~d Minutes ~d Seconds", days_int,
hours_int, minutes_int, sec_int) elseif hours_int > 0
then printf(fd, "~d Hours ~d Minutes ~d Seconds", hours_int, minutes_int,
sec_int) elseif minutes_int > 0 then printf(fd, "~d Minutes ~d Seconds",
minutes_int, sec_int) else printf(fd, "~d Seconds", sec_int))
else printf(fd, "Unknown"), printf(fd, " | "))
(%i20) omniout_timestr(secs_in) := (secs : convfloat(secs_in),
if secs >= convfloat(0.0) then (sec_in_millinium :
convfloat(sec_in_min) convfloat(min_in_hour) convfloat(hours_in_day)
convfloat(days_in_year) convfloat(years_in_century)
secs
convfloat(centuries_in_millinium), milliniums : ---------------------------,
convfloat(sec_in_millinium)
millinium_int : floor(milliniums), centuries :
(milliniums - millinium_int) convfloat(centuries_in_millinium),
cent_int : floor(centuries), years : (centuries - cent_int)
convfloat(years_in_century), years_int : floor(years),
days : (years - years_int) convfloat(days_in_year), days_int : floor(days),
hours : (days - days_int) convfloat(hours_in_day), hours_int : floor(hours),
minutes : (hours - hours_int) convfloat(min_in_hour),
minutes_int : floor(minutes), seconds :
(minutes - minutes_int) convfloat(sec_in_min), sec_int : floor(seconds),
if millinium_int > 0 then printf(true,
"= ~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)
elseif cent_int > 0 then printf(true,
"= ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", cent_int,
years_int, days_int, hours_int, minutes_int, sec_int) elseif years_int > 0
then printf(true, "= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%",
years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0
then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int,
hours_int, minutes_int, sec_int) elseif hours_int > 0
then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int,
minutes_int, sec_int) elseif minutes_int > 0
then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int)
else printf(true, "= ~d Seconds~%", sec_int)) else printf(true, " Unknown~%"))
(%o20) omniout_timestr(secs_in) := (secs : convfloat(secs_in),
if secs >= convfloat(0.0) then (sec_in_millinium :
convfloat(sec_in_min) convfloat(min_in_hour) convfloat(hours_in_day)
convfloat(days_in_year) convfloat(years_in_century)
secs
convfloat(centuries_in_millinium), milliniums : ---------------------------,
convfloat(sec_in_millinium)
millinium_int : floor(milliniums), centuries :
(milliniums - millinium_int) convfloat(centuries_in_millinium),
cent_int : floor(centuries), years : (centuries - cent_int)
convfloat(years_in_century), years_int : floor(years),
days : (years - years_int) convfloat(days_in_year), days_int : floor(days),
hours : (days - days_int) convfloat(hours_in_day), hours_int : floor(hours),
minutes : (hours - hours_int) convfloat(min_in_hour),
minutes_int : floor(minutes), seconds :
(minutes - minutes_int) convfloat(sec_in_min), sec_int : floor(seconds),
if millinium_int > 0 then printf(true,
"= ~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)
elseif cent_int > 0 then printf(true,
"= ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", cent_int,
years_int, days_int, hours_int, minutes_int, sec_int) elseif years_int > 0
then printf(true, "= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%",
years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0
then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int,
hours_int, minutes_int, sec_int) elseif hours_int > 0
then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int,
minutes_int, sec_int) elseif minutes_int > 0
then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int)
else printf(true, "= ~d Seconds~%", sec_int)) else printf(true, " Unknown~%"))
(%i21) mode_declare(ats, bfloat)
modedeclare: bfloat
is not a built-in type; assuming it is a Maxima extension type.
(%o21) [ats]
(%i22) ats(mmm_ats, array_a, array_b, jjj_ats) :=
(ret_ats : 0.0, if jjj_ats <= mmm_ats then (ma_ats : 1 + mmm_ats,
iii_ats : jjj_ats, while iii_ats <= mmm_ats do (lll_ats : ma_ats - iii_ats,
ret_ats : array_a array_b + ret_ats, iii_ats : 1 + iii_ats)),
iii_ats lll_ats
ret_ats)
(%o22) ats(mmm_ats, array_a, array_b, jjj_ats) :=
(ret_ats : 0.0, if jjj_ats <= mmm_ats then (ma_ats : 1 + mmm_ats,
iii_ats : jjj_ats, while iii_ats <= mmm_ats do (lll_ats : ma_ats - iii_ats,
ret_ats : array_a array_b + ret_ats, iii_ats : 1 + iii_ats)),
iii_ats lll_ats
ret_ats)
(%i23) mode_declare(att, bfloat)
modedeclare: bfloat
is not a built-in type; assuming it is a Maxima extension type.
(%o23) [att]
(%i24) att(mmm_att, array_aa, array_bb, jjj_att) :=
(ret_att : 0.0, if jjj_att <= mmm_att then (ma_att : 2 + mmm_att,
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 : array_aa array_bb convfp(al_att) + ret_att,
iii_att lll_att
ret_att
iii_att : 1 + iii_att), ret_att : ---------------), ret_att)
convfp(mmm_att)
(%o24) att(mmm_att, array_aa, array_bb, jjj_att) :=
(ret_att : 0.0, if jjj_att <= mmm_att then (ma_att : 2 + mmm_att,
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 : array_aa array_bb convfp(al_att) + ret_att,
iii_att lll_att
ret_att
iii_att : 1 + iii_att), ret_att : ---------------), ret_att)
convfp(mmm_att)
(%i25) display_pole() := if (array_pole # glob_large_float)
1
and (array_pole > 0.0) and (array_pole # glob_large_float)
1 2
and (array_pole > 0.0) and glob_display_flag
2
then (omniout_float(ALWAYS, "Radius of convergence ", 4,
array_pole , 4, " "), omniout_float(ALWAYS,
1
"Order of pole ", 4, array_pole , 4, " "))
2
(%o25) display_pole() := if (array_pole # glob_large_float)
1
and (array_pole > 0.0) and (array_pole # glob_large_float)
1 2
and (array_pole > 0.0) and glob_display_flag
2
then (omniout_float(ALWAYS, "Radius of convergence ", 4,
array_pole , 4, " "), omniout_float(ALWAYS,
1
"Order of pole ", 4, array_pole , 4, " "))
2
(%i26) logditto(file) := (printf(file, ""), printf(file, "ditto"),
printf(file, " | "))
(%o26) logditto(file) := (printf(file, ""), printf(file, "ditto"),
printf(file, " | "))
(%i27) logitem_integer(file, n) := (printf(file, ""),
printf(file, "~d", n), printf(file, " | "))
(%o27) logitem_integer(file, n) := (printf(file, ""),
printf(file, "~d", n), printf(file, " | "))
(%i28) logitem_str(file, str) := (printf(file, ""), printf(file, str),
printf(file, " | "))
(%o28) logitem_str(file, str) := (printf(file, ""), printf(file, str),
printf(file, " | "))
(%i29) log_revs(file, revs) := printf(file, revs)
(%o29) log_revs(file, revs) := printf(file, revs)
(%i30) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x),
printf(file, " | "))
(%o30) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x),
printf(file, " | "))
(%i31) logitem_pole(file, pole) := (printf(file, ""),
if pole = 0 then printf(file, "NA") elseif pole = 1 then printf(file, "Real")
elseif pole = 2 then printf(file, "Complex") else printf(file, "No Pole"),
printf(file, " | "))
(%o31) logitem_pole(file, pole) := (printf(file, ""),
if pole = 0 then printf(file, "NA") elseif pole = 1 then printf(file, "Real")
elseif pole = 2 then printf(file, "Complex") else printf(file, "No Pole"),
printf(file, " | "))
(%i32) logstart(file) := printf(file, "")
(%o32) logstart(file) := printf(file, "
")
(%i33) logend(file) := printf(file, "
~%")
(%o33) logend(file) := printf(file, "~%")
(%i34) chk_data() := (errflag : false,
if (glob_max_terms < 15) or (glob_max_terms > 512)
then (omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"),
glob_max_terms : 30), if glob_max_iter < 2
then (omniout_str(ALWAYS, "Illegal max_iter"), errflag : true),
if errflag then quit())
(%o34) chk_data() := (errflag : false,
if (glob_max_terms < 15) or (glob_max_terms > 512)
then (omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"),
glob_max_terms : 30), if glob_max_iter < 2
then (omniout_str(ALWAYS, "Illegal max_iter"), errflag : true),
if errflag then quit())
(%i35) mode_declare(comp_expect_sec, bfloat)
modedeclare: bfloat
is not a built-in type; assuming it is a Maxima extension type.
(%o35) [comp_expect_sec]
(%i36) comp_expect_sec(t_end2, t_start2, t2, clock_sec) :=
(ms2 : clock_sec, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2,
if sub1 = 0.0 then sec_left : 0.0 else (if abs(sub2) > 0.0
sub1
then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left)
sub2
(%o36) comp_expect_sec(t_end2, t_start2, t2, clock_sec) :=
(ms2 : clock_sec, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2,
if sub1 = 0.0 then sec_left : 0.0 else (if abs(sub2) > 0.0
sub1
then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left)
sub2
(%i37) mode_declare(comp_percent, bfloat)
modedeclare: bfloat
is not a built-in type; assuming it is a Maxima extension type.
(%o37) [comp_percent]
(%i38) comp_percent(t_end2, t_start2, t2) :=
(sub1 : t_end2 - t_start2, sub2 : t2 - t_start2,
100.0 sub2
if abs(sub2) > glob_small_float then rrr : ---------- else rrr : 0.0, rrr)
sub1
(%o38) comp_percent(t_end2, t_start2, t2) :=
(sub1 : t_end2 - t_start2, sub2 : t2 - t_start2,
100.0 sub2
if abs(sub2) > glob_small_float then rrr : ---------- else rrr : 0.0, rrr)
sub1
(%i39) factorial_1(nnn) := (if nnn <= glob_max_terms
then (if array_fact_1 = 0 then (ret : nnn!, array_fact_1 : ret)
nnn nnn
else ret : array_fact_1 ) else ret : nnn!, ret)
nnn
(%o39) factorial_1(nnn) := (if nnn <= glob_max_terms
then (if array_fact_1 = 0 then (ret : nnn!, array_fact_1 : ret)
nnn nnn
else ret : array_fact_1 ) else ret : nnn!, ret)
nnn
(%i40) factorial_3(mmm, nnn) := (if (nnn <= glob_max_terms)
and (mmm <= glob_max_terms) then (if array_fact_2 = 0
mmm, nnn
factorial_1(mmm)
then (ret : ----------------, array_fact_2 : ret)
factorial_1(nnn) mmm, nnn
mmm!
else ret : array_fact_2 ) else ret : ----, ret)
mmm, nnn nnn!
(%o40) factorial_3(mmm, nnn) := (if (nnn <= glob_max_terms)
and (mmm <= glob_max_terms) then (if array_fact_2 = 0
mmm, nnn
factorial_1(mmm)
then (ret : ----------------, array_fact_2 : ret)
factorial_1(nnn) mmm, nnn
mmm!
else ret : array_fact_2 ) else ret : ----, ret)
mmm, nnn nnn!
(%i41) convfp(mmm) := mmm
(%o41) convfp(mmm) := mmm
(%i42) convfloat(mmm) := mmm
(%o42) convfloat(mmm) := mmm
(%i43) elapsed_time_seconds() := (t : elapsed_real_time(), t)
(%o43) elapsed_time_seconds() := (t : elapsed_real_time(), t)
(%i44) arcsin(x) := asin(x)
(%o44) arcsin(x) := asin(x)
(%i45) arccos(x) := acos(x)
(%o45) arccos(x) := acos(x)
(%i46) arctan(x) := atan(x)
(%o46) arctan(x) := atan(x)
(%i47) exact_soln_y(x) := 2.0 - log(abs(cos(x)))
(%o47) exact_soln_y(x) := 2.0 - log(abs(cos(x)))
(%i48) mainprog() := (define_variable(glob_max_terms, 30, fixnum),
define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(ALWAYS, 1, fixnum),
define_variable(glob_iolevel, 5, fixnum), define_variable(DEBUGL, 3, fixnum),
define_variable(INFO, 2, fixnum), define_variable(MAX_UNCHANGED, 10, fixnum),
define_variable(glob_start, 0, fixnum),
define_variable(glob_small_float, 1.0E-51, float),
define_variable(glob_optimal_start, 0.0, float),
define_variable(glob_no_eqs, 0, fixnum),
define_variable(glob_hmin, 1.0E-11, float),
define_variable(glob_disp_incr, 0.1, float),
define_variable(glob_optimal_done, false, boolean),
define_variable(glob_clock_start_sec, 0.0, float),
define_variable(glob_almost_1, 0.999, float),
define_variable(glob_log10normmin, 0.1, float),
define_variable(glob_log10relerr, 0.0, float),
define_variable(glob_log10abserr, 0.0, float),
define_variable(glob_normmax, 0.0, float),
define_variable(glob_max_sec, 10000.0, float),
define_variable(glob_max_trunc_err, 1.0E-11, float),
define_variable(glob_unchanged_h_cnt, 0, fixnum),
define_variable(min_in_hour, 60.0, float),
define_variable(glob_max_minutes, 0.0, float),
define_variable(glob_current_iter, 0, fixnum),
define_variable(glob_hmax, 1.0, float),
define_variable(glob_reached_optimal_h, false, boolean),
define_variable(sec_in_min, 60.0, float),
define_variable(glob_html_log, true, boolean),
define_variable(hours_in_day, 24.0, float),
define_variable(glob_display_flag, true, boolean),
define_variable(glob_dump, false, boolean),
define_variable(glob_curr_iter_when_opt, 0, fixnum),
define_variable(glob_not_yet_finished, true, boolean),
define_variable(years_in_century, 100.0, float),
define_variable(glob_max_iter, 1000, fixnum),
define_variable(glob_large_float, 9.0E+100, float),
define_variable(djd_debug, true, boolean),
define_variable(glob_warned2, false, boolean),
define_variable(glob_warned, false, boolean),
define_variable(glob_smallish_float, 1.0E-101, float),
define_variable(glob_initial_pass, true, boolean),
define_variable(glob_subiter_method, 3, fixnum),
define_variable(glob_percent_done, 0.0, float),
define_variable(glob_optimal_clock_start_sec, 0.0, float),
define_variable(glob_log10_relerr, 1.0E-11, float),
define_variable(glob_dump_analytic, false, boolean),
define_variable(glob_last_good_h, 0.1, float),
define_variable(days_in_year, 365.0, float),
define_variable(djd_debug2, true, boolean),
define_variable(glob_max_opt_iter, 10, fixnum),
define_variable(glob_optimal_expect_sec, 0.1, float),
define_variable(glob_iter, 0, fixnum),
define_variable(glob_orig_start_sec, 0.0, float),
define_variable(glob_max_rel_trunc_err, 1.0E-11, float),
define_variable(glob_abserr, 1.0E-11, float),
define_variable(glob_log10_abserr, 1.0E-11, float),
define_variable(glob_look_poles, false, boolean),
define_variable(glob_h, 0.1, float), define_variable(glob_clock_sec, 0.0,
float), define_variable(centuries_in_millinium, 10.0, float),
define_variable(glob_max_hours, 0.0, float),
define_variable(glob_relerr, 1.0E-11, float),
define_variable(glob_hmin_init, 0.001, float),
define_variable(glob_not_yet_start_msg, true, boolean), ALWAYS : 1, INFO : 2,
DEBUGL : 3, DEBUGMASSIVE : 4, glob_iolevel : INFO,
glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10,
glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1,
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/divpostode.ode#################"),
omniout_str(ALWAYS, "diff ( y , x , 1 ) = sin ( x ) / cos ( x ) ;"),
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 : 1.0 ,"),
omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"),
omniout_str(ALWAYS, "glob_h : 0.00001 ,"),
omniout_str(ALWAYS, "glob_look_poles : true,"),
omniout_str(ALWAYS, "glob_max_iter : 100,"),
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_y (x) := ("),
omniout_str(ALWAYS, "2.0 - log(abs(cos(x))) "), omniout_str(ALWAYS, ");"),
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 : 1.0E+100, 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(array_type_pole, 1 + max_terms), array(array_norms, 1 + max_terms),
array(array_tmp1_g, 1 + max_terms), array(array_y, 1 + max_terms),
array(array_x, 1 + max_terms), array(array_m1, 1 + max_terms),
array(array_last_rel_error, 1 + max_terms),
array(array_1st_rel_error, 1 + max_terms), array(array_pole, 1 + max_terms),
array(array_y_init, 1 + max_terms), array(array_tmp0, 1 + max_terms),
array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms),
array(array_tmp3, 1 + max_terms), array(array_tmp4, 1 + max_terms),
array(array_tmp2_g, 1 + max_terms), array(array_fact_1, 1 + max_terms),
array(array_complex_pole, 1 + 1, 1 + 3), array(array_real_pole, 1 + 1, 1 + 3),
array(array_y_set_initial, 1 + 2, 1 + max_terms),
array(array_y_higher, 1 + 2, 1 + max_terms),
array(array_y_higher_work2, 1 + 2, 1 + max_terms),
array(array_y_higher_work, 1 + 2, 1 + max_terms),
array(array_poles, 1 + 1, 1 + 3), array(array_fact_2, 1 + max_terms,
1 + max_terms), term : 1, while term <=
max_terms do (array_type_pole : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_norms : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp1_g : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_y : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_x : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_m1 : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_last_rel_error : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_pole : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_y_init : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_tmp0 : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_tmp1 : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_tmp2 : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_tmp3 : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_tmp4 : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_tmp2_g : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_fact_1 : 0.0, term : 1 + term),
term
ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_complex_pole : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_real_pole : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_set_initial : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 2 do (term : 1, while term <=
max_terms do (array_y_higher : 0.0, term : 1 + term), ord : 1 + ord),
ord, term
ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_higher_work2 : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 2 do (term : 1, while term <=
max_terms do (array_y_higher_work : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_poles : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= max_terms do (term : 1,
while term <= max_terms do (array_fact_2 : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), array(array_tmp1_g, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp1_g : 0.0, term : 1 + term),
term
array(array_x, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term),
term
array(array_y, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term),
term
array(array_tmp4, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp4 : 0.0, term : 1 + term),
term
array(array_tmp3, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp3 : 0.0, term : 1 + term),
term
array(array_tmp2, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term),
term
array(array_tmp1, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term),
term
array(array_tmp0, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term),
term
array(array_tmp2_g, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp2_g : 0.0, term : 1 + term),
term
array(array_const_0D0, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term),
term
array_const_0D0 : 0.0, array(array_const_1, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term),
term
array_const_1 : 1, array(array_m1, 1 + 1 + max_terms), term : 1,
1
while term <= max_terms do (array_m1 : 0.0, term : 1 + term),
term
array_m1 : - 1.0, iiif : 0, while iiif <= glob_max_terms do (jjjf : 0,
1
while jjjf <= glob_max_terms do (array_fact_1 : 0,
iiif
array_fact_2 : 0, jjjf : 1 + jjjf), iiif : 1 + iiif), x_start : 0.1,
iiif, jjjf
x_end : 1.0, array_y_init : exact_soln_y(x_start), glob_h : 1.0E-5,
1 + 0
glob_look_poles : true, glob_max_iter : 100, 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(3600.0) convfloat(glob_max_hours)
+ convfloat(60.0) convfloat(glob_max_minutes),
glob_log10_abserr glob_log10_relerr
glob_abserr : 10.0 , glob_relerr : 10.0 ,
chk_data(), array_y_set_initial : true, array_y_set_initial : false,
1, 1 1, 2
array_y_set_initial : false, array_y_set_initial : false,
1, 3 1, 4
array_y_set_initial : false, array_y_set_initial : false,
1, 5 1, 6
array_y_set_initial : false, array_y_set_initial : false,
1, 7 1, 8
array_y_set_initial : false, array_y_set_initial : false,
1, 9 1, 10
array_y_set_initial : false, array_y_set_initial : false,
1, 11 1, 12
array_y_set_initial : false, array_y_set_initial : false,
1, 13 1, 14
array_y_set_initial : false, array_y_set_initial : false,
1, 15 1, 16
array_y_set_initial : false, array_y_set_initial : false,
1, 17 1, 18
array_y_set_initial : false, array_y_set_initial : false,
1, 19 1, 20
array_y_set_initial : false, array_y_set_initial : false,
1, 21 1, 22
array_y_set_initial : false, array_y_set_initial : false,
1, 23 1, 24
array_y_set_initial : false, array_y_set_initial : false,
1, 25 1, 26
array_y_set_initial : false, array_y_set_initial : false,
1, 27 1, 28
array_y_set_initial : false, array_y_set_initial : false,
1, 29 1, 30
if glob_html_log then html_log_file : openw("html/entry.html"),
omniout_str(ALWAYS, "START of Soultion"), array_x : x_start,
1
array_x : glob_h, order_diff : 1, term_no : 1,
2
while term_no <= order_diff do (array_y :
term_no
term_no - 1
array_y_init glob_h
term_no
-------------------------------------, term_no : 1 + term_no),
factorial_1(term_no - 1)
rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1,
while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no,
term_no - 1
array_y_init glob_h
it
array_y_higher : --------------------------------,
r_order, term_no factorial_1(term_no - 1)
term_no : 1 + term_no), r_order : 1 + r_order), current_iter : 1,
glob_clock_start_sec : elapsed_time_seconds(), start_array_y(),
if !array_y_higher ! > glob_small_float
! 1, 1!
then (tmp : !array_y_higher !, log10norm : log10(tmp),
! 1, 1!
if log10norm < glob_log10normmin then glob_log10normmin : log10norm),
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 <= x_end) and (convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
1
convfloat(glob_max_sec)) do (omniout_str
(INFO, " "), omniout_str(INFO, "TOP MAIN SOLVE Loop"),
glob_iter : 1 + glob_iter, glob_clock_sec : elapsed_time_seconds(),
glob_current_iter : 1 + glob_current_iter, atomall(),
if glob_look_poles then check_for_pole(), array_x : glob_h + array_x ,
1 1
array_x : glob_h, order_diff : 1, ord : 2, calc_term : 1,
2
iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work :
2, iii
array_y_higher
2, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 2, calc_term : 1, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, ord : 1, calc_term : 2, iii : glob_max_terms,
factorial_1(calc_term - 1)!
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 2, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, ord : 1, calc_term : 1, iii : glob_max_terms,
factorial_1(calc_term - 1)!
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 1, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, term_no : glob_max_terms,
factorial_1(calc_term - 1)!
while term_no >= 1 do (array_y : array_y_higher_work2 ,
term_no 1, term_no
ord : 1, while ord <= order_diff do (array_y_higher :
ord, term_no
array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1),
ord, term_no
display_alot(current_iter)), omniout_str(ALWAYS, "Finished!"),
if glob_iter >= glob_max_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!"),
if elapsed_time_seconds() - convfloat(glob_orig_start_sec) >=
convfloat(glob_max_sec) then omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!"),
glob_clock_sec : elapsed_time_seconds(),
omniout_str(INFO, "diff ( y , x , 1 ) = sin ( x ) / cos ( x ) ;"),
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,
"2012-06-17T20:27:16-05:00"), logitem_str(html_log_file, "Maxima"),
logitem_str(html_log_file, "div"),
logitem_str(html_log_file, "diff ( y , x , 1 ) = sin ( x ) / cos ( x ) ;"),
logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end),
logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h),
1
logitem_str(html_log_file, "16"), 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) or (array_type_pole = 2)
1 1
then (logitem_float(html_log_file, array_pole ),
1
logitem_float(html_log_file, array_pole ), 0)
2
else (logitem_str(html_log_file, "NA"), logitem_str(html_log_file, "NA"), 0),
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),
log_revs(html_log_file, " 092 | "),
logitem_str(html_log_file, "div diffeq.max"),
logitem_str(html_log_file,
"div maxima results"),
logitem_str(html_log_file, "Mostly affecting speed of factorials"),
logend(html_log_file)), if glob_html_log then close(html_log_file))
(%o48) mainprog() := (define_variable(glob_max_terms, 30, fixnum),
define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(ALWAYS, 1, fixnum),
define_variable(glob_iolevel, 5, fixnum), define_variable(DEBUGL, 3, fixnum),
define_variable(INFO, 2, fixnum), define_variable(MAX_UNCHANGED, 10, fixnum),
define_variable(glob_start, 0, fixnum),
define_variable(glob_small_float, 1.0E-51, float),
define_variable(glob_optimal_start, 0.0, float),
define_variable(glob_no_eqs, 0, fixnum),
define_variable(glob_hmin, 1.0E-11, float),
define_variable(glob_disp_incr, 0.1, float),
define_variable(glob_optimal_done, false, boolean),
define_variable(glob_clock_start_sec, 0.0, float),
define_variable(glob_almost_1, 0.999, float),
define_variable(glob_log10normmin, 0.1, float),
define_variable(glob_log10relerr, 0.0, float),
define_variable(glob_log10abserr, 0.0, float),
define_variable(glob_normmax, 0.0, float),
define_variable(glob_max_sec, 10000.0, float),
define_variable(glob_max_trunc_err, 1.0E-11, float),
define_variable(glob_unchanged_h_cnt, 0, fixnum),
define_variable(min_in_hour, 60.0, float),
define_variable(glob_max_minutes, 0.0, float),
define_variable(glob_current_iter, 0, fixnum),
define_variable(glob_hmax, 1.0, float),
define_variable(glob_reached_optimal_h, false, boolean),
define_variable(sec_in_min, 60.0, float),
define_variable(glob_html_log, true, boolean),
define_variable(hours_in_day, 24.0, float),
define_variable(glob_display_flag, true, boolean),
define_variable(glob_dump, false, boolean),
define_variable(glob_curr_iter_when_opt, 0, fixnum),
define_variable(glob_not_yet_finished, true, boolean),
define_variable(years_in_century, 100.0, float),
define_variable(glob_max_iter, 1000, fixnum),
define_variable(glob_large_float, 9.0E+100, float),
define_variable(djd_debug, true, boolean),
define_variable(glob_warned2, false, boolean),
define_variable(glob_warned, false, boolean),
define_variable(glob_smallish_float, 1.0E-101, float),
define_variable(glob_initial_pass, true, boolean),
define_variable(glob_subiter_method, 3, fixnum),
define_variable(glob_percent_done, 0.0, float),
define_variable(glob_optimal_clock_start_sec, 0.0, float),
define_variable(glob_log10_relerr, 1.0E-11, float),
define_variable(glob_dump_analytic, false, boolean),
define_variable(glob_last_good_h, 0.1, float),
define_variable(days_in_year, 365.0, float),
define_variable(djd_debug2, true, boolean),
define_variable(glob_max_opt_iter, 10, fixnum),
define_variable(glob_optimal_expect_sec, 0.1, float),
define_variable(glob_iter, 0, fixnum),
define_variable(glob_orig_start_sec, 0.0, float),
define_variable(glob_max_rel_trunc_err, 1.0E-11, float),
define_variable(glob_abserr, 1.0E-11, float),
define_variable(glob_log10_abserr, 1.0E-11, float),
define_variable(glob_look_poles, false, boolean),
define_variable(glob_h, 0.1, float), define_variable(glob_clock_sec, 0.0,
float), define_variable(centuries_in_millinium, 10.0, float),
define_variable(glob_max_hours, 0.0, float),
define_variable(glob_relerr, 1.0E-11, float),
define_variable(glob_hmin_init, 0.001, float),
define_variable(glob_not_yet_start_msg, true, boolean), ALWAYS : 1, INFO : 2,
DEBUGL : 3, DEBUGMASSIVE : 4, glob_iolevel : INFO,
glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10,
glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1,
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/divpostode.ode#################"),
omniout_str(ALWAYS, "diff ( y , x , 1 ) = sin ( x ) / cos ( x ) ;"),
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 : 1.0 ,"),
omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"),
omniout_str(ALWAYS, "glob_h : 0.00001 ,"),
omniout_str(ALWAYS, "glob_look_poles : true,"),
omniout_str(ALWAYS, "glob_max_iter : 100,"),
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_y (x) := ("),
omniout_str(ALWAYS, "2.0 - log(abs(cos(x))) "), omniout_str(ALWAYS, ");"),
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 : 1.0E+100, 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(array_type_pole, 1 + max_terms), array(array_norms, 1 + max_terms),
array(array_tmp1_g, 1 + max_terms), array(array_y, 1 + max_terms),
array(array_x, 1 + max_terms), array(array_m1, 1 + max_terms),
array(array_last_rel_error, 1 + max_terms),
array(array_1st_rel_error, 1 + max_terms), array(array_pole, 1 + max_terms),
array(array_y_init, 1 + max_terms), array(array_tmp0, 1 + max_terms),
array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms),
array(array_tmp3, 1 + max_terms), array(array_tmp4, 1 + max_terms),
array(array_tmp2_g, 1 + max_terms), array(array_fact_1, 1 + max_terms),
array(array_complex_pole, 1 + 1, 1 + 3), array(array_real_pole, 1 + 1, 1 + 3),
array(array_y_set_initial, 1 + 2, 1 + max_terms),
array(array_y_higher, 1 + 2, 1 + max_terms),
array(array_y_higher_work2, 1 + 2, 1 + max_terms),
array(array_y_higher_work, 1 + 2, 1 + max_terms),
array(array_poles, 1 + 1, 1 + 3), array(array_fact_2, 1 + max_terms,
1 + max_terms), term : 1, while term <=
max_terms do (array_type_pole : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_norms : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp1_g : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_y : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_x : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_m1 : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_last_rel_error : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_pole : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_y_init : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_tmp0 : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_tmp1 : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_tmp2 : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_tmp3 : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_tmp4 : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_tmp2_g : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_fact_1 : 0.0, term : 1 + term),
term
ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_complex_pole : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_real_pole : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_set_initial : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 2 do (term : 1, while term <=
max_terms do (array_y_higher : 0.0, term : 1 + term), ord : 1 + ord),
ord, term
ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_higher_work2 : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 2 do (term : 1, while term <=
max_terms do (array_y_higher_work : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_poles : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= max_terms do (term : 1,
while term <= max_terms do (array_fact_2 : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), array(array_tmp1_g, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp1_g : 0.0, term : 1 + term),
term
array(array_x, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term),
term
array(array_y, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term),
term
array(array_tmp4, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp4 : 0.0, term : 1 + term),
term
array(array_tmp3, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp3 : 0.0, term : 1 + term),
term
array(array_tmp2, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term),
term
array(array_tmp1, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term),
term
array(array_tmp0, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term),
term
array(array_tmp2_g, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp2_g : 0.0, term : 1 + term),
term
array(array_const_0D0, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term),
term
array_const_0D0 : 0.0, array(array_const_1, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term),
term
array_const_1 : 1, array(array_m1, 1 + 1 + max_terms), term : 1,
1
while term <= max_terms do (array_m1 : 0.0, term : 1 + term),
term
array_m1 : - 1.0, iiif : 0, while iiif <= glob_max_terms do (jjjf : 0,
1
while jjjf <= glob_max_terms do (array_fact_1 : 0,
iiif
array_fact_2 : 0, jjjf : 1 + jjjf), iiif : 1 + iiif), x_start : 0.1,
iiif, jjjf
x_end : 1.0, array_y_init : exact_soln_y(x_start), glob_h : 1.0E-5,
1 + 0
glob_look_poles : true, glob_max_iter : 100, 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(3600.0) convfloat(glob_max_hours)
+ convfloat(60.0) convfloat(glob_max_minutes),
glob_log10_abserr glob_log10_relerr
glob_abserr : 10.0 , glob_relerr : 10.0 ,
chk_data(), array_y_set_initial : true, array_y_set_initial : false,
1, 1 1, 2
array_y_set_initial : false, array_y_set_initial : false,
1, 3 1, 4
array_y_set_initial : false, array_y_set_initial : false,
1, 5 1, 6
array_y_set_initial : false, array_y_set_initial : false,
1, 7 1, 8
array_y_set_initial : false, array_y_set_initial : false,
1, 9 1, 10
array_y_set_initial : false, array_y_set_initial : false,
1, 11 1, 12
array_y_set_initial : false, array_y_set_initial : false,
1, 13 1, 14
array_y_set_initial : false, array_y_set_initial : false,
1, 15 1, 16
array_y_set_initial : false, array_y_set_initial : false,
1, 17 1, 18
array_y_set_initial : false, array_y_set_initial : false,
1, 19 1, 20
array_y_set_initial : false, array_y_set_initial : false,
1, 21 1, 22
array_y_set_initial : false, array_y_set_initial : false,
1, 23 1, 24
array_y_set_initial : false, array_y_set_initial : false,
1, 25 1, 26
array_y_set_initial : false, array_y_set_initial : false,
1, 27 1, 28
array_y_set_initial : false, array_y_set_initial : false,
1, 29 1, 30
if glob_html_log then html_log_file : openw("html/entry.html"),
omniout_str(ALWAYS, "START of Soultion"), array_x : x_start,
1
array_x : glob_h, order_diff : 1, term_no : 1,
2
while term_no <= order_diff do (array_y :
term_no
term_no - 1
array_y_init glob_h
term_no
-------------------------------------, term_no : 1 + term_no),
factorial_1(term_no - 1)
rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1,
while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no,
term_no - 1
array_y_init glob_h
it
array_y_higher : --------------------------------,
r_order, term_no factorial_1(term_no - 1)
term_no : 1 + term_no), r_order : 1 + r_order), current_iter : 1,
glob_clock_start_sec : elapsed_time_seconds(), start_array_y(),
if !array_y_higher ! > glob_small_float
! 1, 1!
then (tmp : !array_y_higher !, log10norm : log10(tmp),
! 1, 1!
if log10norm < glob_log10normmin then glob_log10normmin : log10norm),
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 <= x_end) and (convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
1
convfloat(glob_max_sec)) do (omniout_str
(INFO, " "), omniout_str(INFO, "TOP MAIN SOLVE Loop"),
glob_iter : 1 + glob_iter, glob_clock_sec : elapsed_time_seconds(),
glob_current_iter : 1 + glob_current_iter, atomall(),
if glob_look_poles then check_for_pole(), array_x : glob_h + array_x ,
1 1
array_x : glob_h, order_diff : 1, ord : 2, calc_term : 1,
2
iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work :
2, iii
array_y_higher
2, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 2, calc_term : 1, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, ord : 1, calc_term : 2, iii : glob_max_terms,
factorial_1(calc_term - 1)!
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 2, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, ord : 1, calc_term : 1, iii : glob_max_terms,
factorial_1(calc_term - 1)!
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 1, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, term_no : glob_max_terms,
factorial_1(calc_term - 1)!
while term_no >= 1 do (array_y : array_y_higher_work2 ,
term_no 1, term_no
ord : 1, while ord <= order_diff do (array_y_higher :
ord, term_no
array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1),
ord, term_no
display_alot(current_iter)), omniout_str(ALWAYS, "Finished!"),
if glob_iter >= glob_max_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!"),
if elapsed_time_seconds() - convfloat(glob_orig_start_sec) >=
convfloat(glob_max_sec) then omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!"),
glob_clock_sec : elapsed_time_seconds(),
omniout_str(INFO, "diff ( y , x , 1 ) = sin ( x ) / cos ( x ) ;"),
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,
"2012-06-17T20:27:16-05:00"), logitem_str(html_log_file, "Maxima"),
logitem_str(html_log_file, "div"),
logitem_str(html_log_file, "diff ( y , x , 1 ) = sin ( x ) / cos ( x ) ;"),
logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end),
logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h),
1
logitem_str(html_log_file, "16"), 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) or (array_type_pole = 2)
1 1
then (logitem_float(html_log_file, array_pole ),
1
logitem_float(html_log_file, array_pole ), 0)
2
else (logitem_str(html_log_file, "NA"), logitem_str(html_log_file, "NA"), 0),
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),
log_revs(html_log_file, " 092 | "),
logitem_str(html_log_file, "div diffeq.max"),
logitem_str(html_log_file,
"div maxima results"),
logitem_str(html_log_file, "Mostly affecting speed of factorials"),
logend(html_log_file)), if glob_html_log then close(html_log_file))
(%i49) mainprog()
"##############ECHO OF PROBLEM#################"
"##############temp/divpostode.ode#################"
"diff ( y , x , 1 ) = sin ( x ) / cos ( x ) ;"
"!"
"/* BEGIN FIRST INPUT BLOCK */"
"Digits : 32,"
"max_terms : 30,"
"!"
"/* END FIRST INPUT BLOCK */"
"/* BEGIN SECOND INPUT BLOCK */"
"x_start : 0.1,"
"x_end : 1.0 ,"
"array_y_init[0 + 1] : exact_soln_y(x_start),"
"glob_h : 0.00001 ,"
"glob_look_poles : true,"
"glob_max_iter : 100,"
"/* 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_y (x) := ("
"2.0 - log(abs(cos(x))) "
");"
""
"/* END USER DEF BLOCK */"
"#######END OF ECHO OF PROBLEM#################"
"START of Soultion"
x[1] = 0.1 " "
y[1] (analytic) = 2.0050083556232354 " "
y[1] (numeric) = 2.0050083556232354 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.101 " "
y[1] (analytic) = 2.0051091953627123 " "
y[1] (numeric) = 2.0051091953627123 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10200000000000001 " "
y[1] (analytic) = 2.0052110453731395 " "
y[1] (numeric) = 2.0052110453731395 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10300000000000001 " "
y[1] (analytic) = 2.0053139058603304 " "
y[1] (numeric) = 2.0053139058603304 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10400000000000001 " "
y[1] (analytic) = 2.0054177770321826 " "
y[1] (numeric) = 2.0054177770321826 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10500000000000001 " "
y[1] (analytic) = 2.0055226590986805 " "
y[1] (numeric) = 2.00552265909868 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.214331550108960500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10600000000000001 " "
y[1] (analytic) = 2.005628552271895 " "
y[1] (numeric) = 2.0056285522718946 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.214214637835187600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10700000000000001 " "
y[1] (analytic) = 2.0057354567659877 " "
y[1] (numeric) = 2.0057354567659877 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10800000000000001 " "
y[1] (analytic) = 2.0058433727972123 " "
y[1] (numeric) = 2.005843372797212 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213977501297950700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10900000000000001 " "
y[1] (analytic) = 2.0059523005839135 " "
y[1] (numeric) = 2.005952300583913 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213857277268220800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11000000000000001 " "
y[1] (analytic) = 2.0060622403465325 " "
y[1] (numeric) = 2.006062240346532 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213735949555331300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11100000000000002 " "
y[1] (analytic) = 2.0061731923076063 " "
y[1] (numeric) = 2.006173192307606 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213613518278787200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11200000000000002 " "
y[1] (analytic) = 2.006285156691771 " "
y[1] (numeric) = 2.0062851566917708 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213489983559145400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11300000000000002 " "
y[1] (analytic) = 2.006398133725763 " "
y[1] (numeric) = 2.006398133725763 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11400000000000002 " "
y[1] (analytic) = 2.0065121236384202 " "
y[1] (numeric) = 2.0065121236384202 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11500000000000002 " "
y[1] (analytic) = 2.006627126660685 " "
y[1] (numeric) = 2.006627126660685 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11600000000000002 " "
y[1] (analytic) = 2.0067431430256057 " "
y[1] (numeric) = 2.0067431430256057 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11700000000000002 " "
y[1] (analytic) = 2.006860172968339 " "
y[1] (numeric) = 2.0068601729683384 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.212855762607576200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11800000000000002 " "
y[1] (analytic) = 2.0069782167261496 " "
y[1] (numeric) = 2.006978216726149 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.212725609819900500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11900000000000002 " "
y[1] (analytic) = 2.0070972745384155 " "
y[1] (numeric) = 2.007097274538415 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21259435446242900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12000000000000002 " "
y[1] (analytic) = 2.0072173466466277 " "
y[1] (numeric) = 2.007217346646627 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.212461996664105700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12100000000000002 " "
y[1] (analytic) = 2.007338433294393 " "
y[1] (numeric) = 2.0073384332943927 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21232853655491780000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12200000000000003 " "
y[1] (analytic) = 2.0074605347274357 " "
y[1] (numeric) = 2.0074605347274352 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21219397426589580000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12300000000000003 " "
y[1] (analytic) = 2.0075836511935994 " "
y[1] (numeric) = 2.007583651193599 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.212058309929110500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12400000000000003 " "
y[1] (analytic) = 2.00770778294285 " "
y[1] (numeric) = 2.007707782942849 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.42384308735534470000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12500000000000003 " "
y[1] (analytic) = 2.007832930227276 " "
y[1] (numeric) = 2.0078329302272753 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.423567351291464700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12600000000000003 " "
y[1] (analytic) = 2.0079590933010927 " "
y[1] (numeric) = 2.0079590933010922 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.211644705968477700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12700000000000003 " "
y[1] (analytic) = 2.008086272420643 " "
y[1] (numeric) = 2.0080862724206425 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.211504634782131600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12800000000000003 " "
y[1] (analytic) = 2.0082144678443994 " "
y[1] (numeric) = 2.0082144678443985 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.42272692444790800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12900000000000003 " "
y[1] (analytic) = 2.008343679832966 " "
y[1] (numeric) = 2.0083436798329655 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.211221188432238600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13000000000000003 " "
y[1] (analytic) = 2.008473908649082 " "
y[1] (numeric) = 2.0084739086490817 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21107781354631100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13100000000000003 " "
y[1] (analytic) = 2.008605154557623 " "
y[1] (numeric) = 2.0086051545576225 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.210933337706530200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13200000000000003 " "
y[1] (analytic) = 2.0087374178256017 " "
y[1] (numeric) = 2.0087374178256012 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.210787761054284200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13300000000000003 " "
y[1] (analytic) = 2.008870698722173 " "
y[1] (numeric) = 2.0088706987221725 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.210641083731990600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13400000000000004 " "
y[1] (analytic) = 2.009004997518634 " "
y[1] (numeric) = 2.0090049975186335 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21049330588309580000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13500000000000004 " "
y[1] (analytic) = 2.0091403144884272 " "
y[1] (numeric) = 2.0091403144884263 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.42068885530414350000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13600000000000004 " "
y[1] (analytic) = 2.0092766499071417 " "
y[1] (numeric) = 2.009276649907141 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.42038889836883440000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13700000000000004 " "
y[1] (analytic) = 2.009414004052517 " "
y[1] (numeric) = 2.0094140040525166 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.210043370626654200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13800000000000004 " "
y[1] (analytic) = 2.009552377204445 " "
y[1] (numeric) = 2.0095523772044444 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.209891192126327800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13900000000000004 " "
y[1] (analytic) = 2.0096917696449705 " "
y[1] (numeric) = 2.0096917696449696 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.419475827664008400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.14000000000000004 " "
y[1] (analytic) = 2.009832181658296 " "
y[1] (numeric) = 2.009832181658295 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.41916707178654400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.14100000000000004 " "
y[1] (analytic) = 2.0099736135307813 " "
y[1] (numeric) = 2.009973613530781 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.20942805846073700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.14200000000000004 " "
y[1] (analytic) = 2.01011606555095 " "
y[1] (numeric) = 2.010116065550949 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.41854296337204600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 733.1811127444222 " "
Order of pole = 14127.16379337223 " "
x[1] = 0.14300000000000004 " "
y[1] (analytic) = 2.0102595380094868 " "
y[1] (numeric) = 2.0102595380094863 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.209113805721770700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 41.259606892420805 " "
Order of pole = 771.4615690572225 " "
x[1] = 0.14400000000000004 " "
y[1] (analytic) = 2.010404031199244 " "
y[1] (numeric) = 2.0104040311992435 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.208955030721635700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 21.555055669233166 " "
Order of pole = 391.1272127416268 " "
x[1] = 0.14500000000000005 " "
y[1] (analytic) = 2.0105495454152416 " "
y[1] (numeric) = 2.010549545415241 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.20879515684028700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 14.737289782041811 " "
Order of pole = 259.53821705912986 " "
x[1] = 0.14600000000000005 " "
y[1] (analytic) = 2.010696080954671 " "
y[1] (numeric) = 2.0106960809546703 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.208634184233406200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 11.280848587993967 " "
Order of pole = 192.83079511889468 " "
x[1] = 0.14700000000000005 " "
y[1] (analytic) = 2.0108436381168957 " "
y[1] (numeric) = 2.0108436381168953 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.208472113057686200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 9.192310137549624 " "
Order of pole = 152.52721637475992 " "
x[1] = 0.14800000000000005 " "
y[1] (analytic) = 2.010992217203457 " "
y[1] (numeric) = 2.0109922172034564 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.20830894347082920000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 7.794338526079934 " "
Order of pole = 125.55330534601558 " "
x[1] = 0.14900000000000005 " "
y[1] (analytic) = 2.0111418185180723 " "
y[1] (numeric) = 2.011141818518072 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.208144675631546000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 6.793431491609268 " "
Order of pole = 106.24377830960321 " "
x[1] = 0.15000000000000005 " "
y[1] (analytic) = 2.0112924423666416 " "
y[1] (numeric) = 2.011292442366641 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.207979309699553400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 6.041769908967604 " "
Order of pole = 91.74537858970382 " "
x[1] = 0.15100000000000005 " "
y[1] (analytic) = 2.0114440890572474 " "
y[1] (numeric) = 2.011444089057247 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.207812845835574500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 5.456806601735295 " "
Order of pole = 80.46475156293614 " "
x[1] = 0.15200000000000005 " "
y[1] (analytic) = 2.0115967589001578 " "
y[1] (numeric) = 2.0115967589001573 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.207645284201336700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.988820617636976 " "
Order of pole = 71.4421658862096 " "
x[1] = 0.15300000000000005 " "
y[1] (analytic) = 2.0117504522078296 " "
y[1] (numeric) = 2.011750452207829 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.20747662495956900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.606075334276050 " "
Order of pole = 64.06503004090713 " "
x[1] = 0.15400000000000005 " "
y[1] (analytic) = 2.011905169294911 " "
y[1] (numeric) = 2.0119051692949106 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.20730686827400200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.287361427296886 " "
Order of pole = 57.92395408548164 " "
x[1] = 0.15500000000000005 " "
y[1] (analytic) = 2.0120609104782434 " "
y[1] (numeric) = 2.012060910478243 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.20713601430936680000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.017966091707796 " "
Order of pole = 52.734946149995196 " "
x[1] = 0.15600000000000006 " "
y[1] (analytic) = 2.0122176760768644 " "
y[1] (numeric) = 2.012217676076864 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.206964063231392200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.787362534894755 " "
Order of pole = 48.29481421906621 " "
x[1] = 0.15700000000000006 " "
y[1] (analytic) = 2.0123754664120113 " "
y[1] (numeric) = 2.0123754664120104 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.41358203041360600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.587820073808544 " "
Order of pole = 44.45433773993217 " "
x[1] = 0.15800000000000006 " "
y[1] (analytic) = 2.0125342818071212 " "
y[1] (numeric) = 2.012534281807121 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.206616870403321500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.413533542641541 " "
Order of pole = 41.101463143996284 " "
x[1] = 0.15900000000000006 " "
y[1] (analytic) = 2.012694122587838 " "
y[1] (numeric) = 2.012694122587837 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.412883257979322600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.2600589122726844 " "
Order of pole = 38.15040997548874 " "
x[1] = 0.16000000000000006 " "
y[1] (analytic) = 2.0128549890820095 " "
y[1] (numeric) = 2.012854989082009 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.20626529113553100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.1239364257799784 " "
Order of pole = 35.534396521137886 " "
x[1] = 0.16100000000000006 " "
y[1] (analytic) = 2.0130168816196963 " "
y[1] (numeric) = 2.013016881619696 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.206087857011628200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.0024323776958495 " "
Order of pole = 33.20065554304846 " "
x[1] = 0.16200000000000006 " "
y[1] (analytic) = 2.013179800533169 " "
y[1] (numeric) = 2.0131798005331687 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.205909326789640400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.8933581330900324 " "
Order of pole = 31.106940921873786 " "
x[1] = 0.16300000000000006 " "
y[1] (analytic) = 2.0133437461569152 " "
y[1] (numeric) = 2.013343746156915 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.205729700642243600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.794940711547465 " "
Order of pole = 29.21902962371243 " "
x[1] = 0.16400000000000006 " "
y[1] (analytic) = 2.0135087188276386 " "
y[1] (numeric) = 2.0135087188276386 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.7057285726487015 " "
Order of pole = 27.50890313878226 " "
x[1] = 0.16500000000000006 " "
y[1] (analytic) = 2.0136747188842654 " "
y[1] (numeric) = 2.0136747188842654 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.6245219166889218 " "
Order of pole = 25.953402121850935 " "
x[1] = 0.16600000000000006 " "
y[1] (analytic) = 2.013841746667944 " "
y[1] (numeric) = 2.013841746667944 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.5503203677841255 " "
Order of pole = 24.53321655361917 " "
x[1] = 0.16700000000000007 " "
y[1] (analytic) = 2.0140098025220508 " "
y[1] (numeric) = 2.0140098025220508 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.4822831836846637 " "
Order of pole = 23.232117697019042 " "
x[1] = 0.16800000000000007 " "
y[1] (analytic) = 2.0141788867921897 " "
y[1] (numeric) = 2.0141788867921897 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.4196986273056895 " "
Order of pole = 22.036366896199397 " "
x[1] = 0.16900000000000007 " "
y[1] (analytic) = 2.014348999826198 " "
y[1] (numeric) = 2.014348999826198 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.3619601298628634 " "
Order of pole = 20.934255469470536 " "
x[1] = 0.17000000000000007 " "
y[1] (analytic) = 2.014520141974147 " "
y[1] (numeric) = 2.014520141974147 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.308547551254998 " "
Order of pole = 19.915742991107706 " "
x[1] = 0.17100000000000007 " "
y[1] (analytic) = 2.014692313588348 " "
y[1] (numeric) = 2.014692313588348 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.259012309811653 " "
Order of pole = 18.97217026100531 " "
x[1] = 0.17200000000000007 " "
y[1] (analytic) = 2.014865515023351 " "
y[1] (numeric) = 2.014865515023351 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.212965480302652 " "
Order of pole = 18.09602956877044 " "
x[1] = 0.17300000000000007 " "
y[1] (analytic) = 2.015039746635951 " "
y[1] (numeric) = 2.015039746635951 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.1700681912344306 " "
Order of pole = 17.28077933946858 " "
x[1] = 0.17400000000000007 " "
y[1] (analytic) = 2.0152150087851903 " "
y[1] (numeric) = 2.0152150087851903 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.1300238193708854 " "
Order of pole = 16.520693470032313 " "
x[1] = 0.17500000000000007 " "
y[1] (analytic) = 2.01539130183236 " "
y[1] (numeric) = 2.01539130183236 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.092571600931382 " "
Order of pole = 15.810738010877245 " "
x[1] = 0.17600000000000007 " "
y[1] (analytic) = 2.015568626141005 " "
y[1] (numeric) = 2.015568626141005 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.057481368294202 " "
Order of pole = 15.146469572424415 " "
x[1] = 0.17700000000000007 " "
y[1] (analytic) = 2.015746982076925 " "
y[1] (numeric) = 2.015746982076925 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.0245491874814148 " "
Order of pole = 14.523951118827412 " "
x[1] = 0.17800000000000007 " "
y[1] (analytic) = 2.015926370008181 " "
y[1] (numeric) = 2.015926370008181 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.9935937215573067 " "
Order of pole = 13.939681773543022 " "
x[1] = 0.17900000000000008 " "
y[1] (analytic) = 2.016106790305093 " "
y[1] (numeric) = 2.016106790305093 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.9644531828186993 " "
Order of pole = 13.390537989972863 " "
x[1] = 0.18000000000000008 " "
y[1] (analytic) = 2.0162882433402487 " "
y[1] (numeric) = 2.016288243340249 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.202508551626378400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.9369827654843372 " "
Order of pole = 12.873723996870957 " "
x[1] = 0.18100000000000008 " "
y[1] (analytic) = 2.0164707294885034 " "
y[1] (numeric) = 2.016470729488504 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.202309229466028500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.9110524727667655 " "
Order of pole = 12.386729856263528 " "
x[1] = 0.18200000000000008 " "
y[1] (analytic) = 2.0166542491269834 " "
y[1] (numeric) = 2.016654249126984 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.202108814846721300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.8865452694100646 " "
Order of pole = 11.927295803627302 " "
x[1] = 0.18300000000000008 " "
y[1] (analytic) = 2.0168388026350903 " "
y[1] (numeric) = 2.0168388026350907 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.201907307960557500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.863355504204553 " "
Order of pole = 11.493381799260327 " "
x[1] = 0.18400000000000008 " "
y[1] (analytic) = 2.0170243903945035 " "
y[1] (numeric) = 2.0170243903945035 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.8413875575442387 " "
Order of pole = 11.083141423508458 " "
x[1] = 0.18500000000000008 " "
y[1] (analytic) = 2.0172110127891822 " "
y[1] (numeric) = 2.0172110127891827 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.201501018160831300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.8205546774391048 " "
Order of pole = 10.694899409613164 " "
x[1] = 0.18600000000000008 " "
y[1] (analytic) = 2.017398670205372 " "
y[1] (numeric) = 2.0173986702053726 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.201296235636232300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.8007779740440801 " "
Order of pole = 10.327132236306092 " "
x[1] = 0.18700000000000008 " "
y[1] (analytic) = 2.0175873630316046 " "
y[1] (numeric) = 2.017587363031605 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.201090361622701000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.7819855480715303 " "
Order of pole = 9.97845130466802 " "
x[1] = 0.18800000000000008 " "
y[1] (analytic) = 2.0177770916587026 " "
y[1] (numeric) = 2.017777091658703 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.200883396317090400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.7641117327456326 " "
Order of pole = 9.647588306614722 " "
x[1] = 0.18900000000000008 " "
y[1] (analytic) = 2.0179678564797827 " "
y[1] (numeric) = 2.0179678564797836 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.401350679834396500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.7470964324025144 " "
Order of pole = 9.33338245887036 " "
x[1] = 0.19000000000000009 " "
y[1] (analytic) = 2.01815965789026 " "
y[1] (numeric) = 2.0181596578902607 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.40093238524353200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.7308845436615963 " "
Order of pole = 9.03476933075823 " "
x[1] = 0.1910000000000001 " "
y[1] (analytic) = 2.018352496287849 " "
y[1] (numeric) = 2.01835249628785 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.40051190926095200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.7154254473856685 " "
Order of pole = 8.750771038378822 " "
x[1] = 0.1920000000000001 " "
y[1] (analytic) = 2.0185463720725694 " "
y[1] (numeric) = 2.0185463720725703 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.40008925228790370000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.7006725615274105 " "
Order of pole = 8.480487614035447 " "
x[1] = 0.1930000000000001 " "
y[1] (analytic) = 2.0187412856467475 " "
y[1] (numeric) = 2.0187412856467484 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.39966441472750660000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.6865829465184108 " "
Order of pole = 8.223089389852099 " "
x[1] = 0.1940000000000001 " "
y[1] (analytic) = 2.018937237415021 " "
y[1] (numeric) = 2.018937237415022 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.39923739698475600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.6731169561310564 " "
Order of pole = 7.977810259119707 " "
x[1] = 0.1950000000000001 " "
y[1] (analytic) = 2.019134227784342 " "
y[1] (numeric) = 2.0191342277843427 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.39880819946651500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.6602379278159292 " "
Order of pole = 7.743941699609210 " "
x[1] = 0.1960000000000001 " "
y[1] (analytic) = 2.0193322571639793 " "
y[1] (numeric) = 2.0193322571639802 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.3983768225815100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.6479119074014044 " "
Order of pole = 7.520827460151082 " "
x[1] = 0.1970000000000001 " "
y[1] (analytic) = 2.019531325965525 " "
y[1] (numeric) = 2.019531325965526 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.397943266740330600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.6361074037869734 " "
Order of pole = 7.307858826159759 " "
x[1] = 0.1980000000000001 " "
y[1] (analytic) = 2.019731434602894 " "
y[1] (numeric) = 2.0197314346028947 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.397507532355424000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.6247951698835572 " "
Order of pole = 7.104470391781227 " "
x[1] = 0.1990000000000001 " "
y[1] (analytic) = 2.01993258349233 " "
y[1] (numeric) = 2.0199325834923307 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.397069619841091300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.6139480065804779 " "
Order of pole = 6.9101362765031595 " "
x[1] = 0.2000000000000001 " "
y[1] (analytic) = 2.0201347730524084 " "
y[1] (numeric) = 2.0201347730524093 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.396629529613484000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.6035405869635695 " "
Order of pole = 6.72436673265458 " "
x[1] = 0.2010000000000001 " "
y[1] (analytic) = 2.0203380037040404 " "
y[1] (numeric) = 2.0203380037040413 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.396187262090599500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.593549298381734 " "
Order of pole = 6.5467050974150425 " "
x[1] = 0.2020000000000001 " "
y[1] (analytic) = 2.020542275870475 " "
y[1] (numeric) = 2.020542275870476 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.39574281769227860000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.5839521002826176 " "
Order of pole = 6.376725049198605 " "
x[1] = 0.2030000000000001 " "
y[1] (analytic) = 2.0207475899773057 " "
y[1] (numeric) = 2.020747589977306 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.197648098420100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.5747283960095704 " "
Order of pole = 6.214028133516862 " "
x[1] = 0.2040000000000001 " "
y[1] (analytic) = 2.0209539464524693 " "
y[1] (numeric) = 2.0209539464524697 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.197423699978940400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.5658589169826722 " "
Order of pole = 6.058241527874955 " "
x[1] = 0.2050000000000001 " "
y[1] (analytic) = 2.021161345726254 " "
y[1] (numeric) = 2.0211613457262545 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.197198213735332400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.5573256178910346 " "
Order of pole = 5.909016019204248 " "
x[1] = 0.2060000000000001 " "
y[1] (analytic) = 2.0213697882313015 " "
y[1] (numeric) = 2.021369788231302 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.196971639902863500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.5491115816921361 " "
Order of pole = 5.76602417058599 " "
x[1] = 0.2070000000000001 " "
y[1] (analytic) = 2.02157927440261 " "
y[1] (numeric) = 2.0215792744026104 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.196743978696031600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.541200933361865 " "
Order of pole = 5.628958656875351 " "
x[1] = 0.2080000000000001 " "
y[1] (analytic) = 2.021789804677539 " "
y[1] (numeric) = 2.021789804677539 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.5335787614685994 " "
Order of pole = 5.497530751339468 " "
x[1] = 0.2090000000000001 " "
y[1] (analytic) = 2.022001379495811 " "
y[1] (numeric) = 2.022001379495811 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.5262310467544227 " "
Order of pole = 5.371468947541200 " "
x[1] = 0.2100000000000001 " "
y[1] (analytic) = 2.022213999299519 " "
y[1] (numeric) = 2.0222139992995194 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.196054472987982700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.5191445970020372 " "
Order of pole = 5.250517702542414 " "
x[1] = 0.2110000000000001 " "
y[1] (analytic) = 2.0224276645331267 " "
y[1] (numeric) = 2.022427664533127 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.195822464446854400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.5123069875508248 " "
Order of pole = 5.134436289140396 " "
x[1] = 0.2120000000000001 " "
y[1] (analytic) = 2.0226423756434735 " "
y[1] (numeric) = 2.022642375643474 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.195589369617465300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.5057065068961581 " "
Order of pole = 5.022997746212813 " "
x[1] = 0.2130000000000001 " "
y[1] (analytic) = 2.0228581330797795 " "
y[1] (numeric) = 2.0228581330797795 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.4993321068728755 " "
Order of pole = 4.9159879175393755 " "
x[1] = 0.2140000000000001 " "
y[1] (analytic) = 2.0230749372936465 " "
y[1] (numeric) = 2.023074937293647 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.19511992197451500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.4931733569756018 " "
Order of pole = 4.813204570463704 " "
x[1] = 0.2150000000000001 " "
y[1] (analytic) = 2.0232927887390657 " "
y[1] (numeric) = 2.023292788739066 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.194883569603502700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.4872204024210576 " "
Order of pole = 4.714456586775409 " "
x[1] = 0.2160000000000001 " "
y[1] (analytic) = 2.023511687872418 " "
y[1] (numeric) = 2.0235116878724186 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.194646131829322800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.4814639255974202 " "
Order of pole = 4.619563218959865 " "
x[1] = 0.2170000000000001 " "
y[1] (analytic) = 2.0237316351524806 " "
y[1] (numeric) = 2.023731635152481 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.19440760887548300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.4758951105852545 " "
Order of pole = 4.528353405726559 " "
x[1] = 0.2180000000000001 " "
y[1] (analytic) = 2.0239526310404283 " "
y[1] (numeric) = 2.0239526310404288 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.19416800096638200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.470505610467857 " "
Order of pole = 4.440665141370072 " "
x[1] = 0.2190000000000001 " "
y[1] (analytic) = 2.0241746759998405 " "
y[1] (numeric) = 2.024174675999841 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.193927308327305600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.465287517176174 " "
Order of pole = 4.356344894043552 " "
x[1] = 0.2200000000000001 " "
y[1] (analytic) = 2.0243977704967033 " "
y[1] (numeric) = 2.0243977704967033 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.4602333336422049 " "
Order of pole = 4.275247068581379 " "
x[1] = 0.2210000000000001 " "
y[1] (analytic) = 2.0246219149994125 " "
y[1] (numeric) = 2.024621914999413 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.193442669764796600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.4553359480560069 " "
Order of pole = 4.197233509916039 " "
x[1] = 0.22200000000000011 " "
y[1] (analytic) = 2.0248471099787806 " "
y[1] (numeric) = 2.024847109978781 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.193198724296356600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.4505886100428749 " "
Order of pole = 4.122173043549190 " "
x[1] = 0.22300000000000011 " "
y[1] (analytic) = 2.0250733559080385 " "
y[1] (numeric) = 2.025073355908039 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.19295369500792200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.445984908593489 " "
Order of pole = 4.049941049847487 " "
x[1] = 0.22400000000000012 " "
y[1] (analytic) = 2.0253006532628404 " "
y[1] (numeric) = 2.025300653262841 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.192707582129187500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.4415187515997032 " "
Order of pole = 3.980419069322423 " "
x[1] = 0.22500000000000012 " "
y[1] (analytic) = 2.0255290025212673 " "
y[1] (numeric) = 2.0255290025212678 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.192460385890721600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.437184346858357 " "
Order of pole = 3.9134944362347284 " "
x[1] = 0.22600000000000012 " "
y[1] (analytic) = 2.0257584041638323 " "
y[1] (numeric) = 2.025758404163833 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.192212106523967800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.4329761844228197 " "
Order of pole = 3.8490599382038013 " "
x[1] = 0.22700000000000012 " "
y[1] (analytic) = 2.0259888586734838 " "
y[1] (numeric) = 2.025988858673484 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.191962744261239700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.4288890201907127 " "
Order of pole = 3.7870134996682125 " "
x[1] = 0.22800000000000012 " "
y[1] (analytic) = 2.0262203665356098 " "
y[1] (numeric) = 2.02622036653561 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.191712299335720000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.4249178606262363 " "
Order of pole = 3.727257887235364 " "
x[1] = 0.22900000000000012 " "
y[1] (analytic) = 2.0264529282380424 " "
y[1] (numeric) = 2.0264529282380424 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.4210579485284387 " "
Order of pole = 3.6697004352118974 " "
x[1] = 0.23000000000000012 " "
y[1] (analytic) = 2.026686544271061 " "
y[1] (numeric) = 2.026686544271061 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.41730474975947 " "
Order of pole = 3.6142527896523724 " "
x[1] = 0.23100000000000012 " "
y[1] (analytic) = 2.0269212151273983 " "
y[1] (numeric) = 2.0269212151273983 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.4136539408602553 " "
Order of pole = 3.5608306695288583 " "
x[1] = 0.23200000000000012 " "
y[1] (analytic) = 2.027156941302244 " "
y[1] (numeric) = 2.027156941302244 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.41010139748179 " "
Order of pole = 3.5093536436322346 " "
x[1] = 0.23300000000000012 " "
y[1] (analytic) = 2.027393723293247 " "
y[1] (numeric) = 2.027393723293247 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.4066431835726847 " "
Order of pole = 3.459744922063173 " "
x[1] = 0.23400000000000012 " "
y[1] (analytic) = 2.0276315616005234 " "
y[1] (numeric) = 2.0276315616005234 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.4032755412624252 " "
Order of pole = 3.4119311611405507 " "
x[1] = 0.23500000000000013 " "
y[1] (analytic) = 2.0278704567266574 " "
y[1] (numeric) = 2.0278704567266574 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.399994881390516 " "
Order of pole = 3.3658422807686392 " "
x[1] = 0.23600000000000013 " "
y[1] (analytic) = 2.028110409176708 " "
y[1] (numeric) = 2.028110409176708 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3967977746323774 " "
Order of pole = 3.321411293313176 " "
x[1] = 0.23700000000000013 " "
y[1] (analytic) = 2.028351419458212 " "
y[1] (numeric) = 2.028351419458212 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.393680943177763 " "
Order of pole = 3.2785741431322606 " "
x[1] = 0.23800000000000013 " "
y[1] (analytic) = 2.0285934880811887 " "
y[1] (numeric) = 2.028593488081189 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.189148355544209300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3906412529237755 " "
Order of pole = 3.2372695560332048 " "
x[1] = 0.23900000000000013 " "
y[1] (analytic) = 2.028836615558146 " "
y[1] (numeric) = 2.028836615558146 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3876757061421756 " "
Order of pole = 3.1974388978728356 " "
x[1] = 0.24000000000000013 " "
y[1] (analytic) = 2.029080802404081 " "
y[1] (numeric) = 2.0290808024040814 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.188622598587005600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3847814345901623 " "
Order of pole = 3.1590260417106215 " "
x[1] = 0.24100000000000013 " "
y[1] (analytic) = 2.0293260491364893 " "
y[1] (numeric) = 2.0293260491364897 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.18835810065627300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3819556930318346 " "
Order of pole = 3.1219772428795878 " "
x[1] = 0.24200000000000013 " "
y[1] (analytic) = 2.0295723562753656 " "
y[1] (numeric) = 2.029572356275366 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.188092523417332600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3791958531424278 " "
Order of pole = 3.0862410214374627 " "
x[1] = 0.24300000000000013 " "
y[1] (analytic) = 2.0298197243432106 " "
y[1] (numeric) = 2.029819724343211 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.187825867116138500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3764993977680522 " "
Order of pole = 3.051768051470578 " "
x[1] = 0.24400000000000013 " "
y[1] (analytic) = 2.030068153865034 " "
y[1] (numeric) = 2.0300681538650345 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.187558131999479700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3738639155185062 " "
Order of pole = 3.0185110568203797 " "
x[1] = 0.24500000000000013 " "
y[1] (analytic) = 2.0303176453683602 " "
y[1] (numeric) = 2.0303176453683607 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.18728931831497500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3712870956681056 " "
Order of pole = 2.9864247127453396 " "
x[1] = 0.24600000000000014 " "
y[1] (analytic) = 2.0305681993832327 " "
y[1] (numeric) = 2.030568199383233 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.18701942631107300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3687667233465095 " "
Order of pole = 2.9554655531742 " "
x[1] = 0.24700000000000014 " "
y[1] (analytic) = 2.030819816442218 " "
y[1] (numeric) = 2.0308198164422184 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.186748456237048400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3663006749983213 " "
Order of pole = 2.9255918831384946 " "
x[1] = 0.24800000000000014 " "
y[1] (analytic) = 2.031072497080411 " "
y[1] (numeric) = 2.0310724970804115 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.186476408343000200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3638869140954568 " "
Order of pole = 2.896763696077386 " "
x[1] = 0.24900000000000014 " "
y[1] (analytic) = 2.0313262418354396 " "
y[1] (numeric) = 2.03132624183544 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.1862032828798500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3615234870846273 " "
Order of pole = 2.8689425956728805 " "
x[1] = 0.2500000000000001 " "
y[1] (analytic) = 2.0315810512474695 " "
y[1] (numeric) = 2.03158105124747 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.185929080099337800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3592085195553363 " "
Order of pole = 2.842091721934125 " "
x[1] = 0.2510000000000001 " "
y[1] (analytic) = 2.0318369258592086 " "
y[1] (numeric) = 2.031836925859209 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.185653800254020700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3569402126150125 " "
Order of pole = 2.8161756812740606 " "
x[1] = 0.2520000000000001 " "
y[1] (analytic) = 2.0320938662159116 " "
y[1] (numeric) = 2.032093866215912 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.185377443597272300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.35471683945702 " "
Order of pole = 2.7911604803011762 " "
x[1] = 0.2530000000000001 " "
y[1] (analytic) = 2.032351872865385 " "
y[1] (numeric) = 2.0323518728653855 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.185100010383277400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.352536742110252 " "
Order of pole = 2.7670134631100716 " "
x[1] = 0.2540000000000001 " "
y[1] (analytic) = 2.032610946357993 " "
y[1] (numeric) = 2.0326109463579933 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.18482150086703100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3503983283591665 " "
Order of pole = 2.74370325185566 " "
x[1] = 0.2550000000000001 " "
y[1] (analytic) = 2.0328710872466598 " "
y[1] (numeric) = 2.0328710872466607 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.36908383060867200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3483000688239437 " "
Order of pole = 2.7211996904125897 " "
x[1] = 0.2560000000000001 " "
y[1] (analytic) = 2.033132296086878 " "
y[1] (numeric) = 2.0331322960868787 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.368522507903600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3462404941896713 " "
Order of pole = 2.6994737909033297 " "
x[1] = 0.2570000000000001 " "
y[1] (analytic) = 2.0333945734367096 " "
y[1] (numeric) = 2.0333945734367105 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.36795903413366800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3442181925779821 " "
Order of pole = 2.678497682972239 " "
x[1] = 0.2580000000000001 " "
y[1] (analytic) = 2.033657919856794 " "
y[1] (numeric) = 2.033657919856795 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.36739340981529940000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3422318070507535 " "
Order of pole = 2.6582445656020646 " "
x[1] = 0.2590000000000001 " "
y[1] (analytic) = 2.0339223359103515 " "
y[1] (numeric) = 2.0339223359103524 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.366825635466511400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3402800332386902 " "
Order of pole = 2.638688661335344 " "
x[1] = 0.2600000000000001 " "
y[1] (analytic) = 2.0341878221631884 " "
y[1] (numeric) = 2.0341878221631893 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.36625571160691500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3383616170881765 " "
Order of pole = 2.6198051727746154 " "
x[1] = 0.2610000000000001 " "
y[1] (analytic) = 2.0344543791837024 " "
y[1] (numeric) = 2.0344543791837033 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.365683638757704700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3364753527181175 " "
Order of pole = 2.6015702411991413 " "
x[1] = 0.2620000000000001 " "
y[1] (analytic) = 2.034722007542887 " "
y[1] (numeric) = 2.034722007542888 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.36510941744165770000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.334620080382061 " "
Order of pole = 2.583960907210127 " "
x[1] = 0.2630000000000001 " "
y[1] (analytic) = 2.0349907078143374 " "
y[1] (numeric) = 2.0349907078143383 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.364533048183128500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3327946845283254 " "
Order of pole = 2.5669550732622817 " "
x[1] = 0.2640000000000001 " "
y[1] (analytic) = 2.035260480574255 " "
y[1] (numeric) = 2.035260480574256 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.3639545315080400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3309980919534632 " "
Order of pole = 2.5505314679927515 " "
x[1] = 0.2650000000000001 " "
y[1] (analytic) = 2.0355313264014527 " "
y[1] (numeric) = 2.0355313264014536 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.363373867943884400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.329229270043778 " "
Order of pole = 2.5346696122459313 " "
x[1] = 0.2660000000000001 " "
y[1] (analytic) = 2.03580324587736 " "
y[1] (numeric) = 2.0358032458773607 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.36279105801971270000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3274872250990446 " "
Order of pole = 2.5193497866793138 " "
x[1] = 0.2670000000000001 " "
y[1] (analytic) = 2.036076239586027 " "
y[1] (numeric) = 2.036076239586028 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.36220610226613500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3257710007357206 " "
Order of pole = 2.5045530009017654 " "
x[1] = 0.2680000000000001 " "
y[1] (analytic) = 2.036350308114133 " "
y[1] (numeric) = 2.036350308114134 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.361619001215309400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.324079676363484 " "
Order of pole = 2.4902609640216227 " "
x[1] = 0.26900000000000013 " "
y[1] (analytic) = 2.036625452050987 " "
y[1] (numeric) = 2.0366254520509885 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.54154463310141500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3224123657326148 " "
Order of pole = 2.4764560565599076 " "
x[1] = 0.27000000000000013 " "
y[1] (analytic) = 2.036901671988538 " "
y[1] (numeric) = 2.0369016719885393 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.54065754803742400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3207682155472957 " "
Order of pole = 2.463121303631521 " "
x[1] = 0.27100000000000013 " "
y[1] (analytic) = 2.037178968521375 " "
y[1] (numeric) = 2.0371789685213764 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.53976724743616500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3191464041424625 " "
Order of pole = 2.4502403493507643 " "
x[1] = 0.27200000000000013 " "
y[1] (analytic) = 2.037457342246737 " "
y[1] (numeric) = 2.037457342246738 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.359249154736739600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.317546140219497 " "
Order of pole = 2.4377974323681784 " "
x[1] = 0.27300000000000013 " "
y[1] (analytic) = 2.0377367937645148 " "
y[1] (numeric) = 2.0377367937645157 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.35865133523601200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3159666616396193 " "
Order of pole = 2.4257773625202788 " "
x[1] = 0.27400000000000013 " "
y[1] (analytic) = 2.038017323677259 " "
y[1] (numeric) = 2.0380173236772596 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.17902568683164300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3144072342695554 " "
Order of pole = 2.4141654984828236 " "
x[1] = 0.27500000000000013 " "
y[1] (analytic) = 2.0382989325901835 " "
y[1] (numeric) = 2.0382989325901844 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.35744927056143800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.312867150879269 " "
Order of pole = 2.4029477264288204 " "
x[1] = 0.27600000000000013 " "
y[1] (analytic) = 2.038581621111172 " "
y[1] (numeric) = 2.038581621111173 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.35684502647485260000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3113457300875435 " "
Order of pole = 2.3921104396065154 " "
x[1] = 0.27700000000000014 " "
y[1] (analytic) = 2.0388653898507836 " "
y[1] (numeric) = 2.038865389850784 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.178119320974710200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3098423153530763 " "
Order of pole = 2.3816405187929526 " "
x[1] = 0.27800000000000014 " "
y[1] (analytic) = 2.0391502394222565 " "
y[1] (numeric) = 2.039150239422257 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.177815058766265600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3083562740101173 " "
Order of pole = 2.371525313606874 " "
x[1] = 0.27900000000000014 " "
y[1] (analytic) = 2.0394361704415154 " "
y[1] (numeric) = 2.039436170441516 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.177509726886535700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3068869963445908 " "
Order of pole = 2.3617526245991343 " "
x[1] = 0.28000000000000014 " "
y[1] (analytic) = 2.039723183527177 " "
y[1] (numeric) = 2.0397231835271774 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.17720332561070620000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3054338947101836 " "
Order of pole = 2.3523106861135616 " "
x[1] = 0.28100000000000014 " "
y[1] (analytic) = 2.0400112793005536 " "
y[1] (numeric) = 2.0400112793005545 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.35379171042941300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3039964026818263 " "
Order of pole = 2.34318814986781 " "
x[1] = 0.28200000000000014 " "
y[1] (analytic) = 2.0403004583856617 " "
y[1] (numeric) = 2.0403004583856625 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.353174631950408300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3025739742448745 " "
Order of pole = 2.3343740692214077 " "
x[1] = 0.28300000000000014 " "
y[1] (analytic) = 2.0405907214092247 " "
y[1] (numeric) = 2.040590721409225 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.17627770816960410000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.3011660830179754 " "
Order of pole = 2.325857884092006 " "
x[1] = 0.28400000000000014 " "
y[1] (analytic) = 2.0408820690006797 " "
y[1] (numeric) = 2.04088206900068 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.175967032076044600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2997722215089502 " "
Order of pole = 2.3176294065088214 " "
x[1] = 0.28500000000000014 " "
y[1] (analytic) = 2.041174501792184 " "
y[1] (numeric) = 2.0411745017921845 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.175655287973395400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.298391900400728 " "
Order of pole = 2.309678806743051 " "
x[1] = 0.28600000000000014 " "
y[1] (analytic) = 2.04146802041862 " "
y[1] (numeric) = 2.0414680204186206 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.175342476141254600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.297024647867413 " "
Order of pole = 2.301996600020537 " "
x[1] = 0.28700000000000014 " "
y[1] (analytic) = 2.0417626255176007 " "
y[1] (numeric) = 2.041762625517601 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.17502859685994600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2956700089176258 " "
Order of pole = 2.2945736337579348 " "
x[1] = 0.28800000000000014 " "
y[1] (analytic) = 2.042058317729475 " "
y[1] (numeric) = 2.042058317729476 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.34942730082103400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2943275447653029 " "
Order of pole = 2.287401075329665 " "
x[1] = 0.28900000000000015 " "
y[1] (analytic) = 2.042355097697336 " "
y[1] (numeric) = 2.042355097697337 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.34879527414946900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.292996832225476 " "
Order of pole = 2.28047040031489 " "
x[1] = 0.29000000000000015 " "
y[1] (analytic) = 2.042652966067024 " "
y[1] (numeric) = 2.042652966067025 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.348161114270166500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2916774631347112 " "
Order of pole = 2.2737733812204475 " "
x[1] = 0.29100000000000015 " "
y[1] (analytic) = 2.042951923487133 " "
y[1] (numeric) = 2.042951923487134 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.347524821749527000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.290369043794535 " "
Order of pole = 2.2673020766462315 " "
x[1] = 0.29200000000000015 " "
y[1] (analytic) = 2.0432519706090178 " "
y[1] (numeric) = 2.043251970609018 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.173443198577687300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.289071194437337 " "
Order of pole = 2.261048820884458 " "
x[1] = 0.29300000000000015 " "
y[1] (analytic) = 2.043553108086798 " "
y[1] (numeric) = 2.043553108086799 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.346245841056951600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.287783548713248 " "
Order of pole = 2.2550062139226448 " "
x[1] = 0.29400000000000015 " "
y[1] (analytic) = 2.043855336577367 " "
y[1] (numeric) = 2.0438553365773675 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.172801577012455600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2865057531974808 " "
Order of pole = 2.2491671118417855 " "
x[1] = 0.29500000000000015 " "
y[1] (analytic) = 2.044158656740394 " "
y[1] (numeric) = 2.0441586567403944 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.172479168315659000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.285237466916994 " "
Order of pole = 2.2435246175868855 " "
x[1] = 0.29600000000000015 " "
y[1] (analytic) = 2.044463069238333 " "
y[1] (numeric) = 2.0444630692383337 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.172155694724818600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2839783608955662 " "
Order of pole = 2.2380720720924074 " "
x[1] = 0.29700000000000015 " "
y[1] (analytic) = 2.044768574736428 " "
y[1] (numeric) = 2.0447685747364286 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.171831156527363700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2827281177166567 " "
Order of pole = 2.2328030457509023 " "
x[1] = 0.29800000000000015 " "
y[1] (analytic) = 2.045075173902718 " "
y[1] (numeric) = 2.0450751739027186 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.171505554011421700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.281486431103648 " "
Order of pole = 2.227711330218142 " "
x[1] = 0.29900000000000015 " "
y[1] (analytic) = 2.045382867408045 " "
y[1] (numeric) = 2.0453828674080454 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.171178887465809200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.280253005515394 " "
Order of pole = 2.2227909305113585 " "
x[1] = 0.30000000000000016 " "
y[1] (analytic) = 2.045691655926058 " "
y[1] (numeric) = 2.0456916559260585 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.170851157180035400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.279027555758502 " "
Order of pole = 2.2180360574334124 " "
x[1] = 0.30100000000000016 " "
y[1] (analytic) = 2.0460015401332217 " "
y[1] (numeric) = 2.046001540133222 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.17052236344429400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2778098066134902 " "
Order of pole = 2.2134411202624484 " "
x[1] = 0.30200000000000016 " "
y[1] (analytic) = 2.04631252070882 " "
y[1] (numeric) = 2.0463125207088204 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.170192506549464300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2765994924756248 " "
Order of pole = 2.2090007197260455 " "
x[1] = 0.30300000000000016 " "
y[1] (analytic) = 2.0466245983349642 " "
y[1] (numeric) = 2.0466245983349647 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.169861586787104600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.27539635700965 " "
Order of pole = 2.2047096412443814 " "
x[1] = 0.30400000000000016 " "
y[1] (analytic) = 2.046937773696598 " "
y[1] (numeric) = 2.0469377736965986 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.169529604449454000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2742001528172218 " "
Order of pole = 2.2005628484178708 " "
x[1] = 0.30500000000000016 " "
y[1] (analytic) = 2.047252047481505 " "
y[1] (numeric) = 2.0472520474815052 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.169196559829424700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2730106411170905 " "
Order of pole = 2.196555476761805 " "
x[1] = 0.30600000000000016 " "
y[1] (analytic) = 2.0475674203803136 " "
y[1] (numeric) = 2.0475674203803136 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2718275914372406 " "
Order of pole = 2.1926828276717956 " "
x[1] = 0.30700000000000016 " "
y[1] (analytic) = 2.047883893086504 " "
y[1] (numeric) = 2.047883893086504 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2706507813187093 " "
Order of pole = 2.18894036261565 " "
x[1] = 0.30800000000000016 " "
y[1] (analytic) = 2.0482014662964154 " "
y[1] (numeric) = 2.0482014662964154 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.269479996030359 " "
Order of pole = 2.185323697536699 " "
x[1] = 0.30900000000000016 " "
y[1] (analytic) = 2.0485201407092513 " "
y[1] (numeric) = 2.0485201407092513 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2683150282943554 " "
Order of pole = 2.181828597464577 " "
x[1] = 0.31000000000000016 " "
y[1] (analytic) = 2.048839917027086 " "
y[1] (numeric) = 2.048839917027086 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2671556780216142 " "
Order of pole = 2.17845097131843 " "
x[1] = 0.31100000000000017 " "
y[1] (analytic) = 2.0491607959548714 " "
y[1] (numeric) = 2.0491607959548714 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2660017520576408 " "
Order of pole = 2.175186866912753 " "
x[1] = 0.31200000000000017 " "
y[1] (analytic) = 2.049482778200444 " "
y[1] (numeric) = 2.049482778200444 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2648530639369886 " "
Order of pole = 2.1720324661284387 " "
x[1] = 0.31300000000000017 " "
y[1] (analytic) = 2.04980586447453 " "
y[1] (numeric) = 2.04980586447453 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.263709433647317 " "
Order of pole = 2.16898408027113 " "
x[1] = 0.31400000000000017 " "
y[1] (analytic) = 2.0501300554907536 " "
y[1] (numeric) = 2.0501300554907536 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2625706874016103 " "
Order of pole = 2.1660381455865583 " "
x[1] = 0.31500000000000017 " "
y[1] (analytic) = 2.050455351965642 " "
y[1] (numeric) = 2.0504553519656423 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.165807753016140400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2614366574196927 " "
Order of pole = 2.163191218958602 " "
x[1] = 0.31600000000000017 " "
y[1] (analytic) = 2.0507817546186335 " "
y[1] (numeric) = 2.050781754618634 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.165463042812403600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2603071817164864 " "
Order of pole = 2.16043997373497 " "
x[1] = 0.31700000000000017 " "
y[1] (analytic) = 2.0511092641720836 " "
y[1] (numeric) = 2.051109264172084 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.165117273892847600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2591821038986912 " "
Order of pole = 2.157781195718197 " "
x[1] = 0.31800000000000017 " "
y[1] (analytic) = 2.0514378813512706 " "
y[1] (numeric) = 2.051437881351271 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.164770446558896300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2580612729688652 " "
Order of pole = 2.1552117793002736 " "
x[1] = 0.3190000000000002 " "
y[1] (analytic) = 2.051767606884404 " "
y[1] (numeric) = 2.0517676068844044 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.16442256111260700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2569445431365296 " "
Order of pole = 2.152728723733624 " "
x[1] = 0.3200000000000002 " "
y[1] (analytic) = 2.0520984415026304 " "
y[1] (numeric) = 2.052098441502631 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.164073617856667500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.255831773635894 " "
Order of pole = 2.150329129530075 " "
x[1] = 0.3210000000000002 " "
y[1] (analytic) = 2.0524303859400406 " "
y[1] (numeric) = 2.052430385940041 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.163723617094393300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2547228285502352 " "
Order of pole = 2.1480101949894923 " "
x[1] = 0.3220000000000002 " "
y[1] (analytic) = 2.0527634409336764 " "
y[1] (numeric) = 2.052763440933677 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.163372559129724300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.253617576643078 " "
Order of pole = 2.1457692128617687 " "
x[1] = 0.3230000000000002 " "
y[1] (analytic) = 2.053097607223537 " "
y[1] (numeric) = 2.0530976072235374 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.163020444267222400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2525158911945082 " "
Order of pole = 2.143603567106439 " "
x[1] = 0.3240000000000002 " "
y[1] (analytic) = 2.0534328855525867 " "
y[1] (numeric) = 2.053432885552587 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.16266727281206720000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2514176498443847 " "
Order of pole = 2.141510729789065 " "
x[1] = 0.3250000000000002 " "
y[1] (analytic) = 2.053769276666761 " "
y[1] (numeric) = 2.0537692766667615 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.16231304507005400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.250322734440212 " "
Order of pole = 2.139488258066109 " "
x[1] = 0.3260000000000002 " "
y[1] (analytic) = 2.054106781314975 " "
y[1] (numeric) = 2.054106781314975 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2492310308913699 " "
Order of pole = 2.1375337912958834 " "
x[1] = 0.3270000000000002 " "
y[1] (analytic) = 2.0544454002491275 " "
y[1] (numeric) = 2.0544454002491275 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2481424290275807 " "
Order of pole = 2.135645048229751 " "
x[1] = 0.3280000000000002 " "
y[1] (analytic) = 2.054785134224112 " "
y[1] (numeric) = 2.054785134224112 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2470568224632956 " "
Order of pole = 2.1338198243209376 " "
x[1] = 0.3290000000000002 " "
y[1] (analytic) = 2.055125983997821 " "
y[1] (numeric) = 2.055125983997821 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.245974108466213 " "
Order of pole = 2.132055989112292 " "
x[1] = 0.3300000000000002 " "
y[1] (analytic) = 2.0554679503311526 " "
y[1] (numeric) = 2.055467950331153 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.16052607280262500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2448941878309776 " "
Order of pole = 2.130351483726411 " "
x[1] = 0.3310000000000002 " "
y[1] (analytic) = 2.0558110339880216 " "
y[1] (numeric) = 2.055811033988022 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.160165513795224100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2438169647569357 " "
Order of pole = 2.128704318434014 " "
x[1] = 0.3320000000000002 " "
y[1] (analytic) = 2.0561552357353614 " "
y[1] (numeric) = 2.056155235735362 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.159803900658497600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2427423467303593 " "
Order of pole = 2.1271125703098974 " "
x[1] = 0.3330000000000002 " "
y[1] (analytic) = 2.056500556343135 " "
y[1] (numeric) = 2.0565005563431353 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.15944123370304900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2416702444110634 " "
Order of pole = 2.1255743809755607 " "
x[1] = 0.3340000000000002 " "
y[1] (analytic) = 2.056846996584341 " "
y[1] (numeric) = 2.0568469965843414 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.159077513240070200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.240600571522675 " "
Order of pole = 2.1240879544122 " "
x[1] = 0.3350000000000002 " "
y[1] (analytic) = 2.0571945572350208 " "
y[1] (numeric) = 2.057194557235021 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.158712739581336600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.239533244746767 " "
Order of pole = 2.1226515548494085 " "
x[1] = 0.3360000000000002 " "
y[1] (analytic) = 2.057543239074266 " "
y[1] (numeric) = 2.0575432390742665 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.158346913039203600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2384681836211364 " "
Order of pole = 2.1212635047362056 " "
x[1] = 0.3370000000000002 " "
y[1] (analytic) = 2.057893042884226 " "
y[1] (numeric) = 2.0578930428842264 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.15798003392660500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2374053104410585 " "
Order of pole = 2.119922182768697 " "
x[1] = 0.3380000000000002 " "
y[1] (analytic) = 2.0582439694501145 " "
y[1] (numeric) = 2.0582439694501153 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.31522420511409600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2363445501645456 " "
Order of pole = 2.118626021997745 " "
x[1] = 0.3390000000000002 " "
y[1] (analytic) = 2.0585960195602193 " "
y[1] (numeric) = 2.05859601956022 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.314486238489220000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2352858303204177 " "
Order of pole = 2.1173735079904077 " "
x[1] = 0.3400000000000002 " "
y[1] (analytic) = 2.058949194005907 " "
y[1] (numeric) = 2.0589491940059075 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.156873084303937100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.234229080920002 " "
Order of pole = 2.1161631770637364 " "
x[1] = 0.3410000000000002 " "
y[1] (analytic) = 2.059303493581631 " "
y[1] (numeric) = 2.059303493581632 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.313003996100479600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2331742343717995 " "
Order of pole = 2.114993614576484 " "
x[1] = 0.3420000000000002 " "
y[1] (analytic) = 2.0596589190849413 " "
y[1] (numeric) = 2.059658919084942 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.31225972159857600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2321212253988547 " "
Order of pole = 2.11386345327319 " "
x[1] = 0.3430000000000002 " "
y[1] (analytic) = 2.0600154713164893 " "
y[1] (numeric) = 2.06001547131649 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.311513345734821500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.231069990959431 " "
Order of pole = 2.112771371694439 " "
x[1] = 0.3440000000000002 " "
y[1] (analytic) = 2.0603731510800367 " "
y[1] (numeric) = 2.0603731510800376 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.31076486914298450000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2300204701702153 " "
Order of pole = 2.111716092636133 " "
x[1] = 0.3450000000000002 " "
y[1] (analytic) = 2.0607319591824638 " "
y[1] (numeric) = 2.0607319591824647 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.310014292457930400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2289726042319997 " "
Order of pole = 2.1106963816571422 " "
x[1] = 0.3460000000000002 " "
y[1] (analytic) = 2.0610918964337754 " "
y[1] (numeric) = 2.0610918964337763 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.30926161631562670000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2279263363584423 " "
Order of pole = 2.1097110456487727 " "
x[1] = 0.3470000000000002 " "
y[1] (analytic) = 2.0614529636471106 " "
y[1] (numeric) = 2.0614529636471115 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.308506841353126000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2268816117069419 " "
Order of pole = 2.1087589314450774 " "
x[1] = 0.3480000000000002 " "
y[1] (analytic) = 2.061815161638749 " "
y[1] (numeric) = 2.0618151616387497 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.30774996820856300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2258383773118493 " "
Order of pole = 2.107838924478912 " "
x[1] = 0.3490000000000002 " "
y[1] (analytic) = 2.0621784912281185 " "
y[1] (numeric) = 2.0621784912281194 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.306990997521149600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.224796582020211 " "
Order of pole = 2.1069499474886335 " "
x[1] = 0.3500000000000002 " "
y[1] (analytic) = 2.062542953237805 " "
y[1] (numeric) = 2.0625429532378057 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.30622992993116570000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2237561764297702 " "
Order of pole = 2.1060909592694763 " "
x[1] = 0.3510000000000002 " "
y[1] (analytic) = 2.0629085484935574 " "
y[1] (numeric) = 2.0629085484935583 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.30546676607995560000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2227171128286822 " "
Order of pole = 2.105260953457499 " "
x[1] = 0.3520000000000002 " "
y[1] (analytic) = 2.063275277824299 " "
y[1] (numeric) = 2.0632752778242995 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.15235075330495800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2216793451379662 " "
Order of pole = 2.1044589573694985 " "
x[1] = 0.3530000000000002 " "
y[1] (analytic) = 2.0636431420621317 " "
y[1] (numeric) = 2.063643142062132 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.151967076082246800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2206428288554534 " "
Order of pole = 2.103684030871147 " "
x[1] = 0.3540000000000002 " "
y[1] (analytic) = 2.0640121420423467 " "
y[1] (numeric) = 2.0640121420423476 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.30316470338817760000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2196075210016692 " "
Order of pole = 2.102935265283346 " "
x[1] = 0.3550000000000002 " "
y[1] (analytic) = 2.0643822786034325 " "
y[1] (numeric) = 2.0643822786034334 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.3023931609264904000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2185733800679244 " "
Order of pole = 2.1022117823333453 " "
x[1] = 0.3560000000000002 " "
y[1] (analytic) = 2.0647535525870806 " "
y[1] (numeric) = 2.0647535525870815 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.30161952542598400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2175403659659336 " "
Order of pole = 2.101512733135344 " "
x[1] = 0.3570000000000002 " "
y[1] (analytic) = 2.065125964838196 " "
y[1] (numeric) = 2.065125964838197 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.30084379753423200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2165084399792163 " "
Order of pole = 2.1008372972065708 " "
x[1] = 0.3580000000000002 " "
y[1] (analytic) = 2.0654995162049046 " "
y[1] (numeric) = 2.0654995162049055 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.30006597789982200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2154775647161264 " "
Order of pole = 2.1001846815155574 " "
x[1] = 0.3590000000000002 " "
y[1] (analytic) = 2.0658742075385614 " "
y[1] (numeric) = 2.0658742075385623 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.29928606717234760000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2144477040647659 " "
Order of pole = 2.0995541195685767 " "
x[1] = 0.3600000000000002 " "
y[1] (analytic) = 2.066250039693758 " "
y[1] (numeric) = 2.066250039693759 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.29850406600240600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2134188231487673 " "
Order of pole = 2.0989448705113745 " "
x[1] = 0.3610000000000002 " "
y[1] (analytic) = 2.066627013528333 " "
y[1] (numeric) = 2.066627013528334 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.29771997504158450000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2123908882857461 " "
Order of pole = 2.098356218287279 " "
x[1] = 0.3620000000000002 " "
y[1] (analytic) = 2.0670051299033774 " "
y[1] (numeric) = 2.0670051299033783 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.296933794942460000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2113638669458677 " "
Order of pole = 2.0977874707938398 " "
x[1] = 0.3630000000000002 " "
y[1] (analytic) = 2.067384389683245 " "
y[1] (numeric) = 2.067384389683246 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.29614552635858800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2103377277127494 " "
Order of pole = 2.0972379590885417 " "
x[1] = 0.3640000000000002 " "
y[1] (analytic) = 2.06776479373556 " "
y[1] (numeric) = 2.0677647937355608 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.29535516994449600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.209312440245495 " "
Order of pole = 2.0967070366164613 " "
x[1] = 0.3650000000000002 " "
y[1] (analytic) = 2.068146342931226 " "
y[1] (numeric) = 2.068146342931227 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.29456272635567850000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2082879752415638 " "
Order of pole = 2.09619407845328 " "
x[1] = 0.3660000000000002 " "
y[1] (analytic) = 2.068529038144435 " "
y[1] (numeric) = 2.0685290381444355 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.14688409812429300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2072643044018707 " "
Order of pole = 2.0956984805954093 " "
x[1] = 0.3670000000000002 " "
y[1] (analytic) = 2.0689128802526726 " "
y[1] (numeric) = 2.0689128802526735 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.29297158028062400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.206241400396113 " "
Order of pole = 2.095219659252024 " "
x[1] = 0.3680000000000002 " "
y[1] (analytic) = 2.0692978701367317 " "
y[1] (numeric) = 2.0692978701367326 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.29217287911013770000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.205219236829672 " "
Order of pole = 2.0947570501695125 " "
x[1] = 0.3690000000000002 " "
y[1] (analytic) = 2.069684008680717 " "
y[1] (numeric) = 2.069684008680718 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.29137209339641450000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2041977882118506 " "
Order of pole = 2.0943101079833077 " "
x[1] = 0.3700000000000002 " "
y[1] (analytic) = 2.0700712967720554 " "
y[1] (numeric) = 2.0700712967720563 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.290569223799669500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2031770299249 " "
Order of pole = 2.0938783055845533 " "
x[1] = 0.3710000000000002 " "
y[1] (analytic) = 2.0704597353015037 " "
y[1] (numeric) = 2.070459735301505 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.4346464064715600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.202156938194302 " "
Order of pole = 2.0934611335125517 " "
x[1] = 0.3720000000000002 " "
y[1] (analytic) = 2.07084932516316 " "
y[1] (numeric) = 2.070849325163161 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.28895723560257900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2011374900597411 " "
Order of pole = 2.093058099360025 " "
x[1] = 0.3730000000000002 " "
y[1] (analytic) = 2.0712400672544677 " "
y[1] (numeric) = 2.0712400672544686 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.288148118327249600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.2001186633475789 " "
Order of pole = 2.0926687272099045 " "
x[1] = 0.3740000000000002 " "
y[1] (analytic) = 2.071631962476229 " "
y[1] (numeric) = 2.0716319624762303 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.43100537972837500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1991004366438034 " "
Order of pole = 2.0922925570804694 " "
x[1] = 0.3750000000000002 " "
y[1] (analytic) = 2.0720250117326118 " "
y[1] (numeric) = 2.072025011732613 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.42978546111350100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1980827892683275 " "
Order of pole = 2.091929144398531 " "
x[1] = 0.3760000000000002 " "
y[1] (analytic) = 2.0724192159311574 " "
y[1] (numeric) = 2.072419215931159 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.57141656352629700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.197065701249456 " "
Order of pole = 2.091578059474184 " "
x[1] = 0.3770000000000002 " "
y[1] (analytic) = 2.0728145759827927 " "
y[1] (numeric) = 2.072814575982794 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.42733626532182100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1960491533003004 " "
Order of pole = 2.0912388870177026 " "
x[1] = 0.3780000000000002 " "
y[1] (analytic) = 2.0732110928018344 " "
y[1] (numeric) = 2.073211092801836 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.5681426535278600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1950331267949827 " "
Order of pole = 2.090911225649222 " "
x[1] = 0.3790000000000002 " "
y[1] (analytic) = 2.0736087673060037 " "
y[1] (numeric) = 2.073608767306005 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.42487459811932900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1940176037462167 " "
Order of pole = 2.0905946874378465 " "
x[1] = 0.3800000000000002 " "
y[1] (analytic) = 2.07400760041643 " "
y[1] (numeric) = 2.0740076004164316 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.56485212032774000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1930025667833912 " "
Order of pole = 2.0902888974500264 " "
x[1] = 0.3810000000000002 " "
y[1] (analytic) = 2.074407593057664 " "
y[1] (numeric) = 2.074407593057666 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.56320062337368900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1919879991316755 " "
Order of pole = 2.0899934933194295 " "
x[1] = 0.38200000000000023 " "
y[1] (analytic) = 2.074808746157686 " "
y[1] (numeric) = 2.074808746157687 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.42115873097893300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1909738845915747 " "
Order of pole = 2.0897081248250586 " "
x[1] = 0.38300000000000023 " "
y[1] (analytic) = 2.0752110606479115 " "
y[1] (numeric) = 2.075211060647913 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.41991388159927300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1899602075192681 " "
Order of pole = 2.0894324534853332 " "
x[1] = 0.38400000000000023 " "
y[1] (analytic) = 2.0756145374632067 " "
y[1] (numeric) = 2.075614537463208 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.41866592039999300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1889469528077383 " "
Order of pole = 2.089166152168719 " "
x[1] = 0.38500000000000023 " "
y[1] (analytic) = 2.0760191775418924 " "
y[1] (numeric) = 2.076019177541894 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.55655313118804300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1879341058681727 " "
Order of pole = 2.088908904708518 " "
x[1] = 0.38600000000000023 " "
y[1] (analytic) = 2.0764249818257565 " "
y[1] (numeric) = 2.0764249818257583 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.55488088877806400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1869216526128135 " "
Order of pole = 2.088660405549504 " "
x[1] = 0.38700000000000023 " "
y[1] (analytic) = 2.0768319512600626 " "
y[1] (numeric) = 2.076831951260064 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.41490337598990500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1859095794370322 " "
Order of pole = 2.0884203593748722 " "
x[1] = 0.38800000000000023 " "
y[1] (analytic) = 2.077240086793557 " "
y[1] (numeric) = 2.0772400867935588 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.55152397016489300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1848978732036963 " "
Order of pole = 2.0881884807843853 " "
x[1] = 0.38900000000000023 " "
y[1] (analytic) = 2.0776493893784833 " "
y[1] (numeric) = 2.077649389378485 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.5498392966661110000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1838865212264689 " "
Order of pole = 2.087964493946412 " "
x[1] = 0.39000000000000024 " "
y[1] (analytic) = 2.078059859970587 " "
y[1] (numeric) = 2.0780598599705886 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.54815048217809000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1828755112548246 " "
Order of pole = 2.087748132288013 " "
x[1] = 0.39100000000000024 " "
y[1] (analytic) = 2.0784714995291274 " "
y[1] (numeric) = 2.078471499529129 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.54645752805693900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1818648314591145 " "
Order of pole = 2.087539138184642 " "
x[1] = 0.39200000000000024 " "
y[1] (analytic) = 2.078884309016887 " "
y[1] (numeric) = 2.078884309016889 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.54476043566030200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1808544704160568 " "
Order of pole = 2.087337262658423 " "
x[1] = 0.39300000000000024 " "
y[1] (analytic) = 2.0792982894001817 " "
y[1] (numeric) = 2.0792982894001835 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.54305920634734300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1798444170949014 " "
Order of pole = 2.087142265090371 " "
x[1] = 0.39400000000000024 " "
y[1] (analytic) = 2.079713441648868 " "
y[1] (numeric) = 2.07971344164887 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.54135384147872700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1788346608440323 " "
Order of pole = 2.0869539129416843 " "
x[1] = 0.39500000000000024 " "
y[1] (analytic) = 2.0801297667363565 " "
y[1] (numeric) = 2.0801297667363583 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.53964434241660800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1778251913780098 " "
Order of pole = 2.0867719814838495 " "
x[1] = 0.39600000000000024 " "
y[1] (analytic) = 2.080547265639618 " "
y[1] (numeric) = 2.0805472656396202 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.06724133881557660000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1768159987650104 " "
Order of pole = 2.0865962535366123 " "
x[1] = 0.39700000000000024 " "
y[1] (analytic) = 2.080965939339197 " "
y[1] (numeric) = 2.080965939339199 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.53621294716782300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1758070734148112 " "
Order of pole = 2.0864265192176035 " "
x[1] = 0.39800000000000024 " "
y[1] (analytic) = 2.081385788819218 " "
y[1] (numeric) = 2.0813857888192198 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.53449105371276600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.174798406067071 " "
Order of pole = 2.0862625756974573 " "
x[1] = 0.39900000000000024 " "
y[1] (analytic) = 2.0818068150673983 " "
y[1] (numeric) = 2.0818068150673996 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.39957377364554400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1737899877799904 " "
Order of pole = 2.086104226962785 " "
x[1] = 0.40000000000000024 " "
y[1] (analytic) = 2.0822290190750556 " "
y[1] (numeric) = 2.082229019075057 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.39827616148579500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1727818099194955 " "
Order of pole = 2.085951283590159 " "
x[1] = 0.40100000000000025 " "
y[1] (analytic) = 2.082652401837121 " "
y[1] (numeric) = 2.082652401837122 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.39697545483339500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1717738641486417 " "
Order of pole = 2.0858035625242266 " "
x[1] = 0.40200000000000025 " "
y[1] (analytic) = 2.0830769643521454 " "
y[1] (numeric) = 2.0830769643521467 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.39567165471744500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1707661424175517 " "
Order of pole = 2.0856608868671422 " "
x[1] = 0.40300000000000025 " "
y[1] (analytic) = 2.0835027076223134 " "
y[1] (numeric) = 2.0835027076223147 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.39436476216806800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1697586369534725 " "
Order of pole = 2.085523085669948 " "
x[1] = 0.40400000000000025 " "
y[1] (analytic) = 2.0839296326534504 " "
y[1] (numeric) = 2.0839296326534518 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.39305477821639500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1687513402514298 " "
Order of pole = 2.0853899937368254 " "
x[1] = 0.40500000000000025 " "
y[1] (analytic) = 2.084357740455035 " "
y[1] (numeric) = 2.084357740455036 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.3917417038945590000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1677442450648663 " "
Order of pole = 2.085261451428071 " "
x[1] = 0.40600000000000025 " "
y[1] (analytic) = 2.0847870320402078 " "
y[1] (numeric) = 2.0847870320402087 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.260283693490451400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1667373443970235 " "
Order of pole = 2.0851373044796055 " "
x[1] = 0.40700000000000025 " "
y[1] (analytic) = 2.085217508425782 " "
y[1] (numeric) = 2.0852175084257834 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.38910628827384300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1657306314921736 " "
Order of pole = 2.0850174038180853 " "
x[1] = 0.40800000000000025 " "
y[1] (analytic) = 2.0856491706322555 " "
y[1] (numeric) = 2.085649170632257 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.38778394904410800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1647240998274946 " "
Order of pole = 2.08490160539019 " "
x[1] = 0.40900000000000025 " "
y[1] (analytic) = 2.0860820196838183 " "
y[1] (numeric) = 2.0860820196838197 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.38645852358248100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1637177431051395 " "
Order of pole = 2.084789769995826 " "
x[1] = 0.41000000000000025 " "
y[1] (analytic) = 2.086516056608366 " "
y[1] (numeric) = 2.0865160566083674 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.38513001292590100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1627115552443155 " "
Order of pole = 2.0846817631205212 " "
x[1] = 0.41100000000000025 " "
y[1] (analytic) = 2.0869512824375085 " "
y[1] (numeric) = 2.0869512824375094 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.25586561207482670000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1617055303741664 " "
Order of pole = 2.084577454786178 " "
x[1] = 0.41200000000000025 " "
y[1] (analytic) = 2.08738769820658 " "
y[1] (numeric) = 2.087387698206581 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.25497582678685400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1606996628261557 " "
Order of pole = 2.084476719389155 " "
x[1] = 0.41300000000000026 " "
y[1] (analytic) = 2.0878253049546527 " "
y[1] (numeric) = 2.0878253049546536 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.25408398677980600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1596939471275605 " "
Order of pole = 2.084379435563978 " "
x[1] = 0.41400000000000026 " "
y[1] (analytic) = 2.0882641037245437 " "
y[1] (numeric) = 2.0882641037245446 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.25319009274739700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1586883779945907 " "
Order of pole = 2.084285486037313 " "
x[1] = 0.41500000000000026 " "
y[1] (analytic) = 2.088704095562828 " "
y[1] (numeric) = 2.088704095562829 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.25229414538393100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1576829503256993 " "
Order of pole = 2.0841947574859745 " "
x[1] = 0.41600000000000026 " "
y[1] (analytic) = 2.08914528151985 " "
y[1] (numeric) = 2.089145281519851 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.25139614538428300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1566776591957413 " "
Order of pole = 2.08410714041419 " "
x[1] = 0.41700000000000026 " "
y[1] (analytic) = 2.0895876626497314 " "
y[1] (numeric) = 2.0895876626497323 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.25049609344389960000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1556724998495729 " "
Order of pole = 2.0840225290171226 " "
x[1] = 0.41800000000000026 " "
y[1] (analytic) = 2.0900312400103846 " "
y[1] (numeric) = 2.0900312400103855 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.24959399025878760000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1546674676963782 " "
Order of pole = 2.0839408210608497 " "
x[1] = 0.41900000000000026 " "
y[1] (analytic) = 2.0904760146635235 " "
y[1] (numeric) = 2.0904760146635244 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.24868983652550400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1536625583039917 " "
Order of pole = 2.0838619177617765 " "
x[1] = 0.42000000000000026 " "
y[1] (analytic) = 2.0909219876746725 " "
y[1] (numeric) = 2.0909219876746734 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.247783632941150600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1526577673935507 " "
Order of pole = 2.0837857236733086 " "
x[1] = 0.42100000000000026 " "
y[1] (analytic) = 2.0913691601131803 " "
y[1] (numeric) = 2.091369160113181 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.24687538020336400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1516530908340505 " "
Order of pole = 2.0837121465695745 " "
x[1] = 0.42200000000000026 " "
y[1] (analytic) = 2.091817533052229 " "
y[1] (numeric) = 2.0918175330522297 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.24596507901030650000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1506485246374143 " "
Order of pole = 2.0836410973409016 " "
x[1] = 0.42300000000000026 " "
y[1] (analytic) = 2.0922671075688455 " "
y[1] (numeric) = 2.0922671075688464 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.24505273006066200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1496440649534896 " "
Order of pole = 2.083572489886979 " "
x[1] = 0.42400000000000027 " "
y[1] (analytic) = 2.092717884743914 " "
y[1] (numeric) = 2.092717884743915 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.244138334053620400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1486397080654633 " "
Order of pole = 2.083506241019613 " "
x[1] = 0.42500000000000027 " "
y[1] (analytic) = 2.0931698656621864 " "
y[1] (numeric) = 2.0931698656621873 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.24322189168887600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1476354503849986 " "
Order of pole = 2.0834422703581694 " "
x[1] = 0.42600000000000027 " "
y[1] (analytic) = 2.0936230514122927 " "
y[1] (numeric) = 2.0936230514122935 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.24230340366661400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1466312884481855 " "
Order of pole = 2.083380500244118 " "
x[1] = 0.42700000000000027 " "
y[1] (analytic) = 2.094077443086754 " "
y[1] (numeric) = 2.094077443086755 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.241382870687507300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1456272189109777 " "
Order of pole = 2.0833208556428033 " "
x[1] = 0.42800000000000027 " "
y[1] (analytic) = 2.0945330417819927 " "
y[1] (numeric) = 2.0945330417819936 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.240460293452703600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1446232385451414 " "
Order of pole = 2.0832632640569635 " "
x[1] = 0.42900000000000027 " "
y[1] (analytic) = 2.094989848598346 " "
y[1] (numeric) = 2.0949898485983467 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.239535672663815600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.143619344234405 " "
Order of pole = 2.0832076554447205 " "
x[1] = 0.43000000000000027 " "
y[1] (analytic) = 2.0954478646400734 " "
y[1] (numeric) = 2.0954478646400743 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.238609009022918400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.142615532970339 " "
Order of pole = 2.0831539621305772 " "
x[1] = 0.43100000000000027 " "
y[1] (analytic) = 2.095907091015373 " "
y[1] (numeric) = 2.0959070910153743 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.35652045484880600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1416118018489736 " "
Order of pole = 2.08310211873383 " "
x[1] = 0.4320000000000003 " "
y[1] (analytic) = 2.0963675288363905 " "
y[1] (numeric) = 2.096367528836392 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.35512433399345800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1406081480669834 " "
Order of pole = 2.083052062086132 " "
x[1] = 0.4330000000000003 " "
y[1] (analytic) = 2.0968291792192315 " "
y[1] (numeric) = 2.0968291792192324 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.23581676801562100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1396045689182408 " "
Order of pole = 2.0830037311574863 " "
x[1] = 0.4340000000000003 " "
y[1] (analytic) = 2.097292043283972 " "
y[1] (numeric) = 2.0972920432839732 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.35232290999446600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1386010617905835 " "
Order of pole = 2.082957066987163 " "
x[1] = 0.4350000000000003 " "
y[1] (analytic) = 2.097756122154673 " "
y[1] (numeric) = 2.0977561221546743 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.35091760896291700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1375976241624082 " "
Order of pole = 2.082912012609963 " "
x[1] = 0.4360000000000003 " "
y[1] (analytic) = 2.09822141695939 " "
y[1] (numeric) = 2.0982214169593916 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.4660123333143500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1365942535997549 " "
Order of pole = 2.0828685129939757 " "
x[1] = 0.4370000000000003 " "
y[1] (analytic) = 2.098687928830186 " "
y[1] (numeric) = 2.0986879288301874 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.34809783412056500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1355909477531108 " "
Order of pole = 2.0828265149713125 " "
x[1] = 0.4380000000000003 " "
y[1] (analytic) = 2.099155658903143 " "
y[1] (numeric) = 2.0991556589031446 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.46224448323397700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1345877043546306 " "
Order of pole = 2.082785967178527 " "
x[1] = 0.4390000000000003 " "
y[1] (analytic) = 2.0996246083183747 " "
y[1] (numeric) = 2.099624608318376 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.34526583595923700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1335845212152176 " "
Order of pole = 2.0827468199932966 " "
x[1] = 0.4400000000000003 " "
y[1] (analytic) = 2.1000947782200377 " "
y[1] (numeric) = 2.100094778220039 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.34384525578111500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.132581396221838 " "
Order of pole = 2.0827090254765963 " "
x[1] = 0.4410000000000003 " "
y[1] (analytic) = 2.1005661697563442 " "
y[1] (numeric) = 2.100566169756346 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.4565621639345900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.131578327334979 " "
Order of pole = 2.082672537317908 " "
x[1] = 0.4420000000000003 " "
y[1] (analytic) = 2.1010387840795754 " "
y[1] (numeric) = 2.101038784079577 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.34099493852908000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.130575312585949 " "
Order of pole = 2.0826373107764518 " "
x[1] = 0.4430000000000003 " "
y[1] (analytic) = 2.1015126223460907 " "
y[1] (numeric) = 2.101512622346092 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.33956520357640500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1295723500746813 " "
Order of pole = 2.082603302634272 " "
x[1] = 0.4440000000000003 " "
y[1] (analytic) = 2.1019876857163435 " "
y[1] (numeric) = 2.101987685716345 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.338132419154301000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1285694379670463 " "
Order of pole = 2.0825704711371316 " "
x[1] = 0.4450000000000003 " "
y[1] (analytic) = 2.1024639753548913 " "
y[1] (numeric) = 2.1024639753548926 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.33669658632464400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1275665744929142 " "
Order of pole = 2.0825387759535054 " "
x[1] = 0.4460000000000003 " "
y[1] (analytic) = 2.102941492430409 " "
y[1] (numeric) = 2.10294149243041 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.33525770614978500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1265637579436736 " "
Order of pole = 2.082508178119852 " "
x[1] = 0.4470000000000003 " "
y[1] (analytic) = 2.1034202381157017 " "
y[1] (numeric) = 2.1034202381157026 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.22254385312836200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1255609866702405 " "
Order of pole = 2.082478639997891 " "
x[1] = 0.4480000000000003 " "
y[1] (analytic) = 2.1039002135877163 " "
y[1] (numeric) = 2.103900213587717 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.22158053867745900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.124558259080965 " "
Order of pole = 2.0824501252289096 " "
x[1] = 0.4490000000000003 " "
y[1] (analytic) = 2.104381420027556 " "
y[1] (numeric) = 2.104381420027557 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.22061519478961640000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1235555736396396 " "
Order of pole = 2.082422598690446 " "
x[1] = 0.4500000000000003 " "
y[1] (analytic) = 2.10486385862049 " "
y[1] (numeric) = 2.104863858620491 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.21964782217425600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1225529288637082 " "
Order of pole = 2.0823960264576193 " "
x[1] = 0.4510000000000003 " "
y[1] (analytic) = 2.105347530555971 " "
y[1] (numeric) = 2.1053475305559712 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.10933921077053500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1215503233221298 " "
Order of pole = 2.0823703757558434 " "
x[1] = 0.4520000000000003 " "
y[1] (analytic) = 2.105832437027641 " "
y[1] (numeric) = 2.105832437027642 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.21770699360001830000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1205477556338865 " "
Order of pole = 2.0823456149290536 " "
x[1] = 0.4530000000000003 " "
y[1] (analytic) = 2.1063185792333528 " "
y[1] (numeric) = 2.1063185792333536 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.21673353906131250000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1195452244661246 " "
Order of pole = 2.0823217133988017 " "
x[1] = 0.4540000000000003 " "
y[1] (analytic) = 2.106805958375175 " "
y[1] (numeric) = 2.1068059583751757 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.21575805863541540000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1185427285324867 " "
Order of pole = 2.082298641627794 " "
x[1] = 0.4550000000000003 " "
y[1] (analytic) = 2.1072945756594104 " "
y[1] (numeric) = 2.1072945756594113 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.214780553033019600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1175402665914695 " "
Order of pole = 2.082276371083907 " "
x[1] = 0.4560000000000003 " "
y[1] (analytic) = 2.1077844322966066 " "
y[1] (numeric) = 2.1077844322966075 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.21380102296505200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.116537837444998 " "
Order of pole = 2.082254874209351 " "
x[1] = 0.4570000000000003 " "
y[1] (analytic) = 2.10827552950157 " "
y[1] (numeric) = 2.108275529501571 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.21281946914265400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1155354399368023 " "
Order of pole = 2.082234124384815 " "
x[1] = 0.4580000000000003 " "
y[1] (analytic) = 2.1087678684933784 " "
y[1] (numeric) = 2.1087678684933797 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.31775383841576800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1145330729510383 " "
Order of pole = 2.0822140958993565 " "
x[1] = 0.4590000000000003 " "
y[1] (analytic) = 2.1092614504953953 " "
y[1] (numeric) = 2.1092614504953966 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.31627543962026400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1135307354107913 " "
Order of pole = 2.0821947639173857 " "
x[1] = 0.4600000000000003 " "
y[1] (analytic) = 2.109756276735282 " "
y[1] (numeric) = 2.1097562767352835 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.31479400839508300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.112528426276881 " "
Order of pole = 2.0821761044527918 " "
x[1] = 0.4610000000000003 " "
y[1] (analytic) = 2.1102523484450124 " "
y[1] (numeric) = 2.1102523484450137 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.3133095458081100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1115261445463533 " "
Order of pole = 2.082158094335327 " "
x[1] = 0.4620000000000003 " "
y[1] (analytic) = 2.110749666860884 " "
y[1] (numeric) = 2.110749666860886 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.41576273723665200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1105238892515106 " "
Order of pole = 2.0821407111899894 " "
x[1] = 0.4630000000000003 " "
y[1] (analytic) = 2.111248233223536 " "
y[1] (numeric) = 2.111248233223537 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.31033153082160200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1095216594582942 " "
Order of pole = 2.0821239334004282 " "
x[1] = 0.4640000000000003 " "
y[1] (analytic) = 2.1117480487779567 " "
y[1] (numeric) = 2.111748048777958 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.30883798055906900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1085194542654933 " "
Order of pole = 2.0821077400924324 " "
x[1] = 0.4650000000000003 " "
y[1] (analytic) = 2.112249114773503 " "
y[1] (numeric) = 2.1122491147735043 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.30734140320871800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1075172728034481 " "
Order of pole = 2.0820921111050517 " "
x[1] = 0.4660000000000003 " "
y[1] (analytic) = 2.1127514324639107 " "
y[1] (numeric) = 2.112751432463912 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.3058417998395800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1065151142329455 " "
Order of pole = 2.0820770269660684 " "
x[1] = 0.4670000000000003 " "
y[1] (analytic) = 2.1132550031073096 " "
y[1] (numeric) = 2.113255003107311 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.30433917152087400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1055129777440689 " "
Order of pole = 2.0820624688664395 " "
x[1] = 0.4680000000000003 " "
y[1] (analytic) = 2.1137598279662364 " "
y[1] (numeric) = 2.1137598279662377 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.3028335193219910000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1045108625554454 " "
Order of pole = 2.0820484186443444 " "
x[1] = 0.4690000000000003 " "
y[1] (analytic) = 2.11426590830765 " "
y[1] (numeric) = 2.1142659083076514 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.30132484431247600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1035087679129194 " "
Order of pole = 2.082034858754909 " "
x[1] = 0.4700000000000003 " "
y[1] (analytic) = 2.1147732454029446 " "
y[1] (numeric) = 2.114773245402946 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.29981314756202300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.102506693089 " "
Order of pole = 2.0820217722591288 " "
x[1] = 0.4710000000000003 " "
y[1] (analytic) = 2.115281840527964 " "
y[1] (numeric) = 2.1152818405279654 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.2982984301404500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1015046373814952 " "
Order of pole = 2.0820091427922804 " "
x[1] = 0.4720000000000003 " "
y[1] (analytic) = 2.115791694963016 " "
y[1] (numeric) = 2.1157916949630167 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.197853795411795600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.1005026001130176 " "
Order of pole = 2.0819969545541177 " "
x[1] = 0.4730000000000003 " "
y[1] (analytic) = 2.1163028099928844 " "
y[1] (numeric) = 2.1163028099928853 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.1968399583758600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.099500580629844 " "
Order of pole = 2.0819851922827475 " "
x[1] = 0.4740000000000003 " "
y[1] (analytic) = 2.116815186906848 " "
y[1] (numeric) = 2.116815186906849 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.19582410969923770000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0984985783013137 " "
Order of pole = 2.0819738412419078 " "
x[1] = 0.4750000000000003 " "
y[1] (analytic) = 2.117328826998691 " "
y[1] (numeric) = 2.117328826998692 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.194806250095391400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.09749659251881 " "
Order of pole = 2.081962887197694 " "
x[1] = 0.4760000000000003 " "
y[1] (analytic) = 2.1178437315667185 " "
y[1] (numeric) = 2.1178437315667193 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.19378638027781700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0964946226951666 " "
Order of pole = 2.0819523164058467 " "
x[1] = 0.4770000000000003 " "
y[1] (analytic) = 2.1183599019137707 " "
y[1] (numeric) = 2.1183599019137715 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.19276450096004100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0954926682638548 " "
Order of pole = 2.081942115593467 " "
x[1] = 0.4780000000000003 " "
y[1] (analytic) = 2.118877339347239 " "
y[1] (numeric) = 2.1188773393472395 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.09587030642780300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0944907286781964 " "
Order of pole = 2.0819322719412803 " "
x[1] = 0.4790000000000003 " "
y[1] (analytic) = 2.1193960451790783 " "
y[1] (numeric) = 2.1193960451790788 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.095357358339032500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0934888034108081 " "
Order of pole = 2.081922773071618 " "
x[1] = 0.4800000000000003 " "
y[1] (analytic) = 2.1199160207258236 " "
y[1] (numeric) = 2.119916020725824 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.094843406570482700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0924868919528958 " "
Order of pole = 2.081913607032565 " "
x[1] = 0.4810000000000003 " "
y[1] (analytic) = 2.1204372673086045 " "
y[1] (numeric) = 2.1204372673086045 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0914849938134075 " "
Order of pole = 2.0819047622785014 " "
x[1] = 0.4820000000000003 " "
y[1] (analytic) = 2.120959786253158 " "
y[1] (numeric) = 2.1209597862531586 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.093812493421108300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0904831085187752 " "
Order of pole = 2.0818962276652897 " "
x[1] = 0.4830000000000003 " "
y[1] (analytic) = 2.1214835788898476 " "
y[1] (numeric) = 2.121483578889848 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.09329553275378300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0894812356120045 " "
Order of pole = 2.0818879924291203 " "
x[1] = 0.4840000000000003 " "
y[1] (analytic) = 2.122008646553674 " "
y[1] (numeric) = 2.122008646553674 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0884793746522103 " "
Order of pole = 2.0818800461763445 " "
x[1] = 0.4850000000000003 " "
y[1] (analytic) = 2.1225349905842914 " "
y[1] (numeric) = 2.1225349905842914 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0874775252140412 " "
Order of pole = 2.081872378870578 " "
x[1] = 0.4860000000000003 " "
y[1] (analytic) = 2.123062612326025 " "
y[1] (numeric) = 2.123062612326025 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.086475686887174 " "
Order of pole = 2.081864980821514 " "
x[1] = 0.4870000000000003 " "
y[1] (analytic) = 2.123591513127884 " "
y[1] (numeric) = 2.123591513127884 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0854738592756825 " "
Order of pole = 2.08185784267031 " "
x[1] = 0.4880000000000003 " "
y[1] (analytic) = 2.124121694343576 " "
y[1] (numeric) = 2.124121694343576 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0844720419977163 " "
Order of pole = 2.0818509553830147 " "
x[1] = 0.4890000000000003 " "
y[1] (analytic) = 2.1246531573315255 " "
y[1] (numeric) = 2.1246531573315255 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0834702346848233 " "
Order of pole = 2.081844310234711 " "
x[1] = 0.4900000000000003 " "
y[1] (analytic) = 2.1251859034548866 " "
y[1] (numeric) = 2.1251859034548866 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0824684369815503 " "
Order of pole = 2.081837898800771 " "
x[1] = 0.4910000000000003 " "
y[1] (analytic) = 2.1257199340815593 " "
y[1] (numeric) = 2.1257199340815593 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0814666485450417 " "
Order of pole = 2.0818317129479063 " "
x[1] = 0.4920000000000003 " "
y[1] (analytic) = 2.1262552505842063 " "
y[1] (numeric) = 2.126255250584206 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.088597828167833800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0804648690445335 " "
Order of pole = 2.081825744822666 " "
x[1] = 0.4930000000000003 " "
y[1] (analytic) = 2.126791854340266 " "
y[1] (numeric) = 2.1267918543402655 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.08807086101907100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.079463098160928 " "
Order of pole = 2.081819986841662 " "
x[1] = 0.4940000000000003 " "
y[1] (analytic) = 2.127329746731971 " "
y[1] (numeric) = 2.127329746731971 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0784613355864048 " "
Order of pole = 2.0818144316830356 " "
x[1] = 0.49500000000000033 " "
y[1] (analytic) = 2.1278689291463637 " "
y[1] (numeric) = 2.1278689291463633 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.087013931014151700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0774595810241439 " "
Order of pole = 2.0818090722803504 " "
x[1] = 0.49600000000000033 " "
y[1] (analytic) = 2.1284094029753096 " "
y[1] (numeric) = 2.128409402975309 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.086483968870223300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0764578341876005 " "
Order of pole = 2.081803901805337 " "
x[1] = 0.49700000000000033 " "
y[1] (analytic) = 2.128951169615516 " "
y[1] (numeric) = 2.1289511696155157 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.085953009106658600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0754560948005663 " "
Order of pole = 2.081798913670397 " "
x[1] = 0.49800000000000033 " "
y[1] (analytic) = 2.1294942304685476 " "
y[1] (numeric) = 2.129494230468547 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.08542105207935100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.074454362596562 " "
Order of pole = 2.081794101514191 " "
x[1] = 0.49900000000000033 " "
y[1] (analytic) = 2.130038586940841 " "
y[1] (numeric) = 2.1300385869408407 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.084888098144095400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.073452637318523 " "
Order of pole = 2.0817894591945354 " "
x[1] = 0.5000000000000003 " "
y[1] (analytic) = 2.130584240443723 " "
y[1] (numeric) = 2.1305842404437225 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.084354147656583800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0724509187184699 " "
Order of pole = 2.081784980780938 " "
x[1] = 0.5010000000000003 " "
y[1] (analytic) = 2.131131192393425 " "
y[1] (numeric) = 2.131131192393425 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.071449206557196 " "
Order of pole = 2.0817806605474978 " "
x[1] = 0.5020000000000003 " "
y[1] (analytic) = 2.1316794442111022 " "
y[1] (numeric) = 2.1316794442111022 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.070447500604054 " "
Order of pole = 2.0817764929683378 " "
x[1] = 0.5030000000000003 " "
y[1] (analytic) = 2.132228997322847 " "
y[1] (numeric) = 2.1322289973228465 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.082746320435777000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0694458006365126 " "
Order of pole = 2.0817724727071294 " "
x[1] = 0.5040000000000003 " "
y[1] (analytic) = 2.132779853159706 " "
y[1] (numeric) = 2.1327798531597058 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.082208387293915700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0684441064400025 " "
Order of pole = 2.0817685946138553 " "
x[1] = 0.5050000000000003 " "
y[1] (analytic) = 2.1333320131576996 " "
y[1] (numeric) = 2.133332013157699 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.081669459376526700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0674424178074526 " "
Order of pole = 2.0817648537137963 " "
x[1] = 0.5060000000000003 " "
y[1] (analytic) = 2.133885478757835 " "
y[1] (numeric) = 2.1338854787578345 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.081129537038573000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.066440734539299 " "
Order of pole = 2.0817612452085292 " "
x[1] = 0.5070000000000003 " "
y[1] (analytic) = 2.1344402514061254 " "
y[1] (numeric) = 2.134440251406125 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.08058862063487500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0654390564428395 " "
Order of pole = 2.081757764459933 " "
x[1] = 0.5080000000000003 " "
y[1] (analytic) = 2.134996332553605 " "
y[1] (numeric) = 2.1349963325536048 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.080046710520110400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0644373833325231 " "
Order of pole = 2.081754406998556 " "
x[1] = 0.5090000000000003 " "
y[1] (analytic) = 2.135553723656349 " "
y[1] (numeric) = 2.1355537236563484 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.079503807048803700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0634357150290548 " "
Order of pole = 2.0817511685010537 " "
x[1] = 0.5100000000000003 " "
y[1] (analytic) = 2.1361124261754862 " "
y[1] (numeric) = 2.136112426175486 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.078959910575323400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0624340513598043 " "
Order of pole = 2.081748044801536 " "
x[1] = 0.5110000000000003 " "
y[1] (analytic) = 2.1366724415772205 " "
y[1] (numeric) = 2.13667244157722 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.078415021453876900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0614323921580588 " "
Order of pole = 2.081745031872803 " "
x[1] = 0.5120000000000003 " "
y[1] (analytic) = 2.1372337713328453 " "
y[1] (numeric) = 2.137233771332845 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.07786914003850300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0604307372631923 " "
Order of pole = 2.081742125831461 " "
x[1] = 0.5130000000000003 " "
y[1] (analytic) = 2.1377964169187624 " "
y[1] (numeric) = 2.137796416918762 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.077322266683068700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0594290865202844 " "
Order of pole = 2.081739322928616 " "
x[1] = 0.5140000000000003 " "
y[1] (analytic) = 2.1383603798164983 " "
y[1] (numeric) = 2.138360379816498 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.07677440174126200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0584274397797748 " "
Order of pole = 2.081736619541445 " "
x[1] = 0.5150000000000003 " "
y[1] (analytic) = 2.138925661512722 " "
y[1] (numeric) = 2.1389256615127215 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.07622554556658820000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0574257968976184 " "
Order of pole = 2.081734012177911 " "
x[1] = 0.5160000000000003 " "
y[1] (analytic) = 2.1394922634992635 " "
y[1] (numeric) = 2.1394922634992626 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.151351397024722300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.056424157734791 " "
Order of pole = 2.0817314974643573 " "
x[1] = 0.5170000000000003 " "
y[1] (analytic) = 2.140060187273129 " "
y[1] (numeric) = 2.1400601872731286 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.07512486093170300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0554225221572713 " "
Order of pole = 2.081729072145677 " "
x[1] = 0.5180000000000003 " "
y[1] (analytic) = 2.140629434336523 " "
y[1] (numeric) = 2.140629434336522 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.14914606635506500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0544208900357643 " "
Order of pole = 2.0817267330785505 " "
x[1] = 0.5190000000000003 " "
y[1] (analytic) = 2.14120000619686 " "
y[1] (numeric) = 2.141200006196859 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.14804043120513100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0534192612456688 " "
Order of pole = 2.0817244772311128 " "
x[1] = 0.5200000000000004 " "
y[1] (analytic) = 2.1417719043667884 " "
y[1] (numeric) = 2.1417719043667875 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.14693281711860800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0524176356667654 " "
Order of pole = 2.081722301675338 " "
x[1] = 0.5210000000000004 " "
y[1] (analytic) = 2.1423451303642054 " "
y[1] (numeric) = 2.1423451303642045 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.14582322480006800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0514160131830956 " "
Order of pole = 2.0817202035843074 " "
x[1] = 0.5220000000000004 " "
y[1] (analytic) = 2.1429196857122754 " "
y[1] (numeric) = 2.1429196857122745 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.14471165495363700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0504143936829486 " "
Order of pole = 2.081718180232336 " "
x[1] = 0.5230000000000004 " "
y[1] (analytic) = 2.1434955719394484 " "
y[1] (numeric) = 2.1434955719394475 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.14359810828298500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.049412777058523 " "
Order of pole = 2.081716228986547 " "
x[1] = 0.5240000000000004 " "
y[1] (analytic) = 2.144072790579478 " "
y[1] (numeric) = 2.1440727905794774 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.07124129274565720000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0484111632058912 " "
Order of pole = 2.0817143473063666 " "
x[1] = 0.5250000000000004 " "
y[1] (analytic) = 2.144651343171441 " "
y[1] (numeric) = 2.1446513431714402 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.14136508728134700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0474095520248645 " "
Order of pole = 2.081712532740397 " "
x[1] = 0.5260000000000004 " "
y[1] (analytic) = 2.1452312312597543 " "
y[1] (numeric) = 2.1452312312597535 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.14024561435531570000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0464079434187656 " "
Order of pole = 2.0817107829208403 " "
x[1] = 0.5270000000000004 " "
y[1] (analytic) = 2.1458124563941947 " "
y[1] (numeric) = 2.1458124563941934 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.20868625112242600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0454063372944364 " "
Order of pole = 2.0817090955640687 " "
x[1] = 0.5280000000000004 " "
y[1] (analytic) = 2.1463950201299156 " "
y[1] (numeric) = 2.1463950201299147 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.13800074716147100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.044404733562073 " "
Order of pole = 2.0817074684666963 " "
x[1] = 0.5290000000000004 " "
y[1] (analytic) = 2.1469789240274695 " "
y[1] (numeric) = 2.146978924027468 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.2053130314433500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0434031321350055 " "
Order of pole = 2.0817058995000686 " "
x[1] = 0.5300000000000004 " "
y[1] (analytic) = 2.1475641696528216 " "
y[1] (numeric) = 2.1475641696528207 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.13574798951739600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0424015329297536 " "
Order of pole = 2.081704386612163 " "
x[1] = 0.5310000000000004 " "
y[1] (analytic) = 2.1481507585773745 " "
y[1] (numeric) = 2.148150758577373 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.20192798028984700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0413999358657937 " "
Order of pole = 2.0817029278216737 " "
x[1] = 0.5320000000000004 " "
y[1] (analytic) = 2.1487386923779814 " "
y[1] (numeric) = 2.1487386923779805 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.13348734702212450000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0403983408654667 " "
Order of pole = 2.081701521216015 " "
x[1] = 0.5330000000000004 " "
y[1] (analytic) = 2.1493279726369714 " "
y[1] (numeric) = 2.14932797263697 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.19853110605382800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0393967478539412 " "
Order of pole = 2.0817001649505826 " "
x[1] = 0.5340000000000004 " "
y[1] (analytic) = 2.1499186009421623 " "
y[1] (numeric) = 2.149918600942161 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.19682823789861600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0383951567589516 " "
Order of pole = 2.0816988572421025 " "
x[1] = 0.5350000000000004 " "
y[1] (analytic) = 2.1505105788868852 " "
y[1] (numeric) = 2.150510578886884 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.19512241711350300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0373935675110784 " "
Order of pole = 2.0816975963764364 " "
x[1] = 0.5360000000000004 " "
y[1] (analytic) = 2.151103908070001 " "
y[1] (numeric) = 2.1511039080699996 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.19341364474353100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0363919800431114 " "
Order of pole = 2.081696380691902 " "
x[1] = 0.5370000000000004 " "
y[1] (analytic) = 2.1516985900959207 " "
y[1] (numeric) = 2.1516985900959194 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.19170192183281800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0353903942903937 " "
Order of pole = 2.0816952085887195 " "
x[1] = 0.5380000000000004 " "
y[1] (analytic) = 2.152294626574626 " "
y[1] (numeric) = 2.152294626574624 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.25331633256604900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0343888101906202 " "
Order of pole = 2.081694078523885 " "
x[1] = 0.5390000000000004 " "
y[1] (analytic) = 2.152892019121686 " "
y[1] (numeric) = 2.1528920191216847 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.18826962856089800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0333872276836804 " "
Order of pole = 2.0816929890072764 " "
x[1] = 0.5400000000000004 " "
y[1] (analytic) = 2.1534907693582817 " "
y[1] (numeric) = 2.1534907693582803 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.18654906028313300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0323856467115844 " "
Order of pole = 2.0816919385999135 " "
x[1] = 0.5410000000000004 " "
y[1] (analytic) = 2.1540908789112208 " "
y[1] (numeric) = 2.15409087891122 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.123217030420984000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0313840672184964 " "
Order of pole = 2.081690925915108 " "
x[1] = 0.5420000000000004 " "
y[1] (analytic) = 2.1546923494129624 " "
y[1] (numeric) = 2.154692349412961 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.18309908564514500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.030382489150579 " "
Order of pole = 2.0816899496144785 " "
x[1] = 0.5430000000000004 " "
y[1] (analytic) = 2.1552951825016327 " "
y[1] (numeric) = 2.1552951825016313 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.18136968136232900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0293809124558804 " "
Order of pole = 2.081689008405256 " "
x[1] = 0.5440000000000004 " "
y[1] (analytic) = 2.155899379821049 " "
y[1] (numeric) = 2.1558993798210477 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.17963733382015700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0283793370844 " "
Order of pole = 2.081688101042193 " "
x[1] = 0.5450000000000004 " "
y[1] (analytic) = 2.1565049430207384 " "
y[1] (numeric) = 2.156504943020737 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.17790204405469700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0273777629878424 " "
Order of pole = 2.0816872263211366 " "
x[1] = 0.5460000000000004 " "
y[1] (analytic) = 2.1571118737559574 " "
y[1] (numeric) = 2.157111873755956 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.17616381310092700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.026376190119768 " "
Order of pole = 2.0816863830833867 " "
x[1] = 0.5470000000000004 " "
y[1] (analytic) = 2.157720173687714 " "
y[1] (numeric) = 2.1577201736877125 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.17442264199271700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.025374618435282 " "
Order of pole = 2.081685570207469 " "
x[1] = 0.5480000000000004 " "
y[1] (analytic) = 2.158329844482787 " "
y[1] (numeric) = 2.1583298444827856 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.17267853176281600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.024373047891212 " "
Order of pole = 2.0816847866140833 " "
x[1] = 0.5490000000000004 " "
y[1] (analytic) = 2.1589408878137477 " "
y[1] (numeric) = 2.1589408878137464 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.17093148344283300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0233714784459638 " "
Order of pole = 2.08168403126248 " "
x[1] = 0.5500000000000004 " "
y[1] (analytic) = 2.159553305358981 " "
y[1] (numeric) = 2.1595533053589797 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.16918149806321100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0223699100593002 " "
Order of pole = 2.081683303144601 " "
x[1] = 0.5510000000000004 " "
y[1] (analytic) = 2.1601670988027046 " "
y[1] (numeric) = 2.1601670988027033 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.16742857665321900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0213683426925606 " "
Order of pole = 2.081682601291188 " "
x[1] = 0.5520000000000004 " "
y[1] (analytic) = 2.160782269834992 " "
y[1] (numeric) = 2.1607822698349906 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.16567272024092700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0203667763084525 " "
Order of pole = 2.0816819247663787 " "
x[1] = 0.5530000000000004 " "
y[1] (analytic) = 2.1613988201517924 " "
y[1] (numeric) = 2.161398820151791 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.16391392985318800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0193652108710252 " "
Order of pole = 2.081681272667094 " "
x[1] = 0.5540000000000004 " "
y[1] (analytic) = 2.162016751454953 " "
y[1] (numeric) = 2.1620167514549515 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.16215220651562300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0183636463456038 " "
Order of pole = 2.081680644121402 " "
x[1] = 0.5550000000000004 " "
y[1] (analytic) = 2.162636065452239 " "
y[1] (numeric) = 2.162636065452238 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.16038755125260100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0173620826988532 " "
Order of pole = 2.081680038290475 " "
x[1] = 0.5560000000000004 " "
y[1] (analytic) = 2.1632567638573565 " "
y[1] (numeric) = 2.1632567638573557 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.105746643391477400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.016360519898546 " "
Order of pole = 2.0816794543623267 " "
x[1] = 0.5570000000000004 " "
y[1] (analytic) = 2.163878848389974 " "
y[1] (numeric) = 2.163878848389973 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.1045662993608500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0153589579136215 " "
Order of pole = 2.081678891553711 " "
x[1] = 0.5580000000000004 " "
y[1] (analytic) = 2.1645023207757417 " "
y[1] (numeric) = 2.164502320775741 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.10338400275684900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0143573967142792 " "
Order of pole = 2.0816783491126145 " "
x[1] = 0.5590000000000004 " "
y[1] (analytic) = 2.165127182746317 " "
y[1] (numeric) = 2.1651271827463163 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.10219975425892060000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0133558362715984 " "
Order of pole = 2.0816778263081765 " "
x[1] = 0.5600000000000004 " "
y[1] (analytic) = 2.1657534360393846 " "
y[1] (numeric) = 2.1657534360393838 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.10101355454561330000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0123542765578906 " "
Order of pole = 2.081677322440367 " "
x[1] = 0.5610000000000004 " "
y[1] (analytic) = 2.1663810823986775 " "
y[1] (numeric) = 2.1663810823986767 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.09982540429456300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0113527175463592 " "
Order of pole = 2.0816768368308303 " "
x[1] = 0.5620000000000004 " "
y[1] (analytic) = 2.167010123574001 " "
y[1] (numeric) = 2.1670101235740002 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.09863530418248600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0103511592111643 " "
Order of pole = 2.0816763688247306 " "
x[1] = 0.5630000000000004 " "
y[1] (analytic) = 2.1676405613212544 " "
y[1] (numeric) = 2.1676405613212535 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.09744325488515800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.009349601527514 " "
Order of pole = 2.081675917793479 " "
x[1] = 0.5640000000000004 " "
y[1] (analytic) = 2.1682723974024523 " "
y[1] (numeric) = 2.1682723974024514 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.09624925707741100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0083480444714799 " "
Order of pole = 2.0816754831296507 " "
x[1] = 0.5650000000000004 " "
y[1] (analytic) = 2.1689056335857484 " "
y[1] (numeric) = 2.168905633585748 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.047526655716556400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0073464880199479 " "
Order of pole = 2.081675064245868 " "
x[1] = 0.5660000000000004 " "
y[1] (analytic) = 2.1695402716454586 " "
y[1] (numeric) = 2.169540271645458 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.04692770931257800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0063449321506182 " "
Order of pole = 2.081674660574837 " "
x[1] = 0.5670000000000004 " "
y[1] (analytic) = 2.1701763133620817 " "
y[1] (numeric) = 2.1701763133620813 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.046327789662723300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.005343376842137 " "
Order of pole = 2.081674271573039 " "
x[1] = 0.5680000000000004 " "
y[1] (analytic) = 2.170813760522324 " "
y[1] (numeric) = 2.1708137605223237 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.04572689710244600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.004341822073801 " "
Order of pole = 2.081673896712786 " "
x[1] = 0.5690000000000004 " "
y[1] (analytic) = 2.1714526149191213 " "
y[1] (numeric) = 2.1714526149191213 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0033402678257348 " "
Order of pole = 2.0816735354871554 " "
x[1] = 0.5700000000000004 " "
y[1] (analytic) = 2.172092878351663 " "
y[1] (numeric) = 2.172092878351663 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.0023387140787245 " "
Order of pole = 2.081673187405471 " "
x[1] = 0.5710000000000004 " "
y[1] (analytic) = 2.172734552625414 " "
y[1] (numeric) = 2.172734552625414 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.001337160814305 " "
Order of pole = 2.0816728519958403 " "
x[1] = 0.5720000000000004 " "
y[1] (analytic) = 2.1733776395521387 " "
y[1] (numeric) = 2.1733776395521387 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 1.000335608014688 " "
Order of pole = 2.081672528803203 " "
x[1] = 0.5730000000000004 " "
y[1] (analytic) = 2.1740221409499245 " "
y[1] (numeric) = 2.174022140949925 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.0427078523497500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9993340556626906 " "
Order of pole = 2.0816722173875384 " "
x[1] = 0.5740000000000004 " "
y[1] (analytic) = 2.174668058643206 " "
y[1] (numeric) = 2.1746680586432063 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.04210112934262580000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9983325037418069 " "
Order of pole = 2.081671917325753 " "
x[1] = 0.5750000000000004 " "
y[1] (analytic) = 2.175315394462787 " "
y[1] (numeric) = 2.1753153944627877 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.041493435758699500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9973309522360748 " "
Order of pole = 2.0816716282082766 " "
x[1] = 0.5760000000000004 " "
y[1] (analytic) = 2.1759641502458664 " "
y[1] (numeric) = 2.175964150245867 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.040884771929188700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9963294011301577 " "
Order of pole = 2.08167134964123 " "
x[1] = 0.5770000000000004 " "
y[1] (analytic) = 2.1766143278360595 " "
y[1] (numeric) = 2.17661432783606 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.040275138184751400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.995327850409278 " "
Order of pole = 2.0816710812447425 " "
x[1] = 0.5780000000000004 " "
y[1] (analytic) = 2.1772659290834246 " "
y[1] (numeric) = 2.177265929083425 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.03966453485547900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9943263000592012 " "
Order of pole = 2.0816708226525336 " "
x[1] = 0.5790000000000004 " "
y[1] (analytic) = 2.1779189558444867 " "
y[1] (numeric) = 2.177918955844487 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.03905296227089080000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9933247500661885 " "
Order of pole = 2.0816705735107135 " "
x[1] = 0.5800000000000004 " "
y[1] (analytic) = 2.17857340998226 " "
y[1] (numeric) = 2.1785734099822607 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.076880841519853000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9923232004169994 " "
Order of pole = 2.081670333477849 " "
x[1] = 0.5810000000000004 " "
y[1] (analytic) = 2.1792292933662747 " "
y[1] (numeric) = 2.179229293366275 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.0378269106509400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9913216510988988 " "
Order of pole = 2.0816701022252992 " "
x[1] = 0.5820000000000004 " "
y[1] (analytic) = 2.1798866078725996 " "
y[1] (numeric) = 2.1798866078726 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.037212432271691700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.990320102099643 " "
Order of pole = 2.08166987943682 " "
x[1] = 0.5830000000000004 " "
y[1] (analytic) = 2.1805453553838685 " "
y[1] (numeric) = 2.180545355383869 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.036596985949343200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9893185534073151 " "
Order of pole = 2.0816696648040676 " "
x[1] = 0.5840000000000004 " "
y[1] (analytic) = 2.181205537789304 " "
y[1] (numeric) = 2.1812055377893045 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.03598057201044900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9883170050106501 " "
Order of pole = 2.0816694580356945 " "
x[1] = 0.5850000000000004 " "
y[1] (analytic) = 2.181867156984742 " "
y[1] (numeric) = 2.181867156984743 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.070726381561901600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9873154568986271 " "
Order of pole = 2.0816692588460555 " "
x[1] = 0.5860000000000004 " "
y[1] (analytic) = 2.182530214872659 " "
y[1] (numeric) = 2.1825302148726595 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.03474484258616900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.98631390906062 " "
Order of pole = 2.081669066959474 " "
x[1] = 0.5870000000000004 " "
y[1] (analytic) = 2.1831947133621936 " "
y[1] (numeric) = 2.1831947133621945 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.068251055501597700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9853123614864837 " "
Order of pole = 2.081668882112634 " "
x[1] = 0.5880000000000004 " "
y[1] (analytic) = 2.1838606543691763 " "
y[1] (numeric) = 2.1838606543691768 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.033505246598899500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9843108141664579 " "
Order of pole = 2.081668704052003 " "
x[1] = 0.5890000000000004 " "
y[1] (analytic) = 2.1845280398161506 " "
y[1] (numeric) = 2.184528039816151 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.032883999453891600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9833092670910095 " "
Order of pole = 2.081668532529445 " "
x[1] = 0.5900000000000004 " "
y[1] (analytic) = 2.1851968716324017 " "
y[1] (numeric) = 2.1851968716324026 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.06452357327709230000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9823077202510928 " "
Order of pole = 2.081668367309529 " "
x[1] = 0.5910000000000004 " "
y[1] (analytic) = 2.185867151753982 " "
y[1] (numeric) = 2.1858671517539827 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.06327721694995870000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9813061736379023 " "
Order of pole = 2.0816682081626823 " "
x[1] = 0.5920000000000004 " "
y[1] (analytic) = 2.1865388821237346 " "
y[1] (numeric) = 2.1865388821237355 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.062028930569293600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9803046272430299 " "
Order of pole = 2.0816680548696276 " "
x[1] = 0.5930000000000004 " "
y[1] (analytic) = 2.1872120646913222 " "
y[1] (numeric) = 2.187212064691323 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.06077871477666900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9793030810582948 " "
Order of pole = 2.0816679072166053 " "
x[1] = 0.5940000000000004 " "
y[1] (analytic) = 2.1878867014132513 " "
y[1] (numeric) = 2.187886701413252 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.059526570212307000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9783015350758981 " "
Order of pole = 2.0816677649998354 " "
x[1] = 0.5950000000000004 " "
y[1] (analytic) = 2.188562794252899 " "
y[1] (numeric) = 2.1885627942529005 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.0874087462725900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9772999892882783 " "
Order of pole = 2.081667628021428 " "
x[1] = 0.5960000000000004 " "
y[1] (analytic) = 2.1892403451805413 " "
y[1] (numeric) = 2.1892403451805427 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.08552474598360700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9762984436881804 " "
Order of pole = 2.0816674960913737 " "
x[1] = 0.5970000000000004 " "
y[1] (analytic) = 2.189919356173376 " "
y[1] (numeric) = 2.189919356173377 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.08363785540563300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9752968982685348 " "
Order of pole = 2.081667369024167 " "
x[1] = 0.5980000000000004 " "
y[1] (analytic) = 2.190599829215552 " "
y[1] (numeric) = 2.1905998292155533 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.08174807549067300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.974295353022709 " "
Order of pole = 2.08166724664596 " "
x[1] = 0.5990000000000004 " "
y[1] (analytic) = 2.1912817662981956 " "
y[1] (numeric) = 2.191281766298197 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.07985540718860400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9732938079441238 " "
Order of pole = 2.0816671287837316 " "
x[1] = 0.6000000000000004 " "
y[1] (analytic) = 2.1919651694194378 " "
y[1] (numeric) = 2.191965169419439 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.07795985144714300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9722922630265771 " "
Order of pole = 2.0816670152745154 " "
x[1] = 0.6010000000000004 " "
y[1] (analytic) = 2.192650040584441 " "
y[1] (numeric) = 2.192650040584442 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.05070760614122060000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9712907182639936 " "
Order of pole = 2.08166690595824 " "
x[1] = 0.6020000000000004 " "
y[1] (analytic) = 2.193336381805426 " "
y[1] (numeric) = 2.193336381805427 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.049440054284007600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.970289173650621 " "
Order of pole = 2.0816668006834576 " "
x[1] = 0.6030000000000004 " "
y[1] (analytic) = 2.1940241951016994 " "
y[1] (numeric) = 2.1940241951017003 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.04817057935386900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9692876291808026 " "
Order of pole = 2.0816666993008113 " "
x[1] = 0.6040000000000004 " "
y[1] (analytic) = 2.194713482499683 " "
y[1] (numeric) = 2.194713482499684 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.04689918197672300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9682860848492368 " "
Order of pole = 2.081666601670463 " "
x[1] = 0.6050000000000004 " "
y[1] (analytic) = 2.1954042460329384 " "
y[1] (numeric) = 2.1954042460329393 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.0456258627769803000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9672845406506966 " "
Order of pole = 2.0816665076541874 " "
x[1] = 0.6060000000000004 " "
y[1] (analytic) = 2.1960964877421976 " "
y[1] (numeric) = 2.1960964877421985 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.04435062237752500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9662829965802109 " "
Order of pole = 2.0816664171205055 " "
x[1] = 0.6070000000000004 " "
y[1] (analytic) = 2.1967902096753895 " "
y[1] (numeric) = 2.1967902096753904 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.04307346139970100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.965281452632987 " "
Order of pole = 2.0816663299425144 " "
x[1] = 0.6080000000000004 " "
y[1] (analytic) = 2.197485413887669 " "
y[1] (numeric) = 2.19748541388767 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.041794380463301600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9642799088043265 " "
Order of pole = 2.0816662459955104 " "
x[1] = 0.6090000000000004 " "
y[1] (analytic) = 2.198182102441444 " "
y[1] (numeric) = 2.1981821024414447 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.040513380186548400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9632783650898465 " "
Order of pole = 2.0816661651633304 " "
x[1] = 0.6100000000000004 " "
y[1] (analytic) = 2.198880277406405 " "
y[1] (numeric) = 2.198880277406406 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.03923046118608200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9622768214852693 " "
Order of pole = 2.0816660873323762 " "
x[1] = 0.6110000000000004 " "
y[1] (analytic) = 2.1995799408595538 " "
y[1] (numeric) = 2.1995799408595547 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.037945624076941000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9612752779863964 " "
Order of pole = 2.0816660123908832 " "
x[1] = 0.6120000000000004 " "
y[1] (analytic) = 2.2002810948852316 " "
y[1] (numeric) = 2.2002810948852325 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.03665886947255360000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9602737345892941 " "
Order of pole = 2.081665940234206 " "
x[1] = 0.6130000000000004 " "
y[1] (analytic) = 2.2009837415751474 " "
y[1] (numeric) = 2.2009837415751488 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.0530552969770800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9592721912901139 " "
Order of pole = 2.0816658707597924 " "
x[1] = 0.6140000000000004 " "
y[1] (analytic) = 2.2016878830284097 " "
y[1] (numeric) = 2.2016878830284106 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.03407961022359200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9582706480851675 " "
Order of pole = 2.0816658038692637 " "
x[1] = 0.6150000000000004 " "
y[1] (analytic) = 2.2023935213515515 " "
y[1] (numeric) = 2.2023935213515524 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.03278710679766840000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.957269104970904 " "
Order of pole = 2.0816657394678195 " "
x[1] = 0.6160000000000004 " "
y[1] (analytic) = 2.2031006586585637 " "
y[1] (numeric) = 2.2031006586585646 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.03149268831377100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9562675619439377 " "
Order of pole = 2.081665677465036 " "
x[1] = 0.6170000000000004 " "
y[1] (analytic) = 2.203809297070923 " "
y[1] (numeric) = 2.2038092970709235 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.01509817768851570000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9552660190009322 " "
Order of pole = 2.0816656177715664 " "
x[1] = 0.6180000000000004 " "
y[1] (analytic) = 2.2045194387176203 " "
y[1] (numeric) = 2.2045194387176212 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.02889810859088150000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9542644761387382 " "
Order of pole = 2.0816655603031187 " "
x[1] = 0.6190000000000004 " "
y[1] (analytic) = 2.2052310857351936 " "
y[1] (numeric) = 2.2052310857351944 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.02759794855702800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9532629333542922 " "
Order of pole = 2.0816655049775363 " "
x[1] = 0.6200000000000004 " "
y[1] (analytic) = 2.2059442402677547 " "
y[1] (numeric) = 2.2059442402677556 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.026295875875444700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9522613906446953 " "
Order of pole = 2.0816654517171145 " "
x[1] = 0.6210000000000004 " "
y[1] (analytic) = 2.206658904467022 " "
y[1] (numeric) = 2.206658904467023 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.02499189114435600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9512598480070898 " "
Order of pole = 2.081665400445022 " "
x[1] = 0.6220000000000004 " "
y[1] (analytic) = 2.2073750804923495 " "
y[1] (numeric) = 2.2073750804923504 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.023685994960219000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9502583054387456 " "
Order of pole = 2.081665351087839 " "
x[1] = 0.6230000000000004 " "
y[1] (analytic) = 2.208092770510757 " "
y[1] (numeric) = 2.2080927705107585 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.03356728187656300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9492567629370455 " "
Order of pole = 2.0816653035751216 " "
x[1] = 0.6240000000000004 " "
y[1] (analytic) = 2.208811976696963 " "
y[1] (numeric) = 2.2088119766969645 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.03160270591455400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9482552204994579 " "
Order of pole = 2.0816652578386368 " "
x[1] = 0.6250000000000004 " "
y[1] (analytic) = 2.2095327012334125 " "
y[1] (numeric) = 2.209532701233414 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.02963526544090100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9472536781235891 " "
Order of pole = 2.0816652138139027 " "
x[1] = 0.6260000000000004 " "
y[1] (analytic) = 2.210254946310309 " "
y[1] (numeric) = 2.210254946310311 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.0368866151192800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9462521358070802 " "
Order of pole = 2.081665171437173 " "
x[1] = 0.6270000000000004 " "
y[1] (analytic) = 2.2109787141256487 " "
y[1] (numeric) = 2.21097871412565 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.02569179449131400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.945250593547665 " "
Order of pole = 2.0816651306471847 " "
x[1] = 0.6280000000000004 " "
y[1] (analytic) = 2.211704006885246 " "
y[1] (numeric) = 2.2117040068852476 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.03162102103302300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9442490513432144 " "
Order of pole = 2.0816650913863946 " "
x[1] = 0.6290000000000004 " "
y[1] (analytic) = 2.2124308268027706 " "
y[1] (numeric) = 2.2124308268027724 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.02898250142039600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9432475091915915 " "
Order of pole = 2.0816650535968257 " "
x[1] = 0.6300000000000004 " "
y[1] (analytic) = 2.2131591760997757 " "
y[1] (numeric) = 2.2131591760997775 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.02634016831407100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9422459670908283 " "
Order of pole = 2.0816650172251983 " "
x[1] = 0.6310000000000004 " "
y[1] (analytic) = 2.2138890570057317 " "
y[1] (numeric) = 2.2138890570057335 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.02369402287375500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9412444250390227 " "
Order of pole = 2.081664982219973 " "
x[1] = 0.6320000000000005 " "
y[1] (analytic) = 2.214620471758057 " "
y[1] (numeric) = 2.214620471758059 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.02104406625531200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9402428830342121 " "
Order of pole = 2.0816649485275853 " "
x[1] = 0.6330000000000005 " "
y[1] (analytic) = 2.2153534226021514 " "
y[1] (numeric) = 2.215353422602153 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.01839029961072300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9392413410746883 " "
Order of pole = 2.08166491610179 " "
x[1] = 0.6340000000000005 " "
y[1] (analytic) = 2.2160879117914267 " "
y[1] (numeric) = 2.2160879117914285 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.01573272408805600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9382397991587277 " "
Order of pole = 2.08166488489562 " "
x[1] = 0.6350000000000005 " "
y[1] (analytic) = 2.2168239415873416 " "
y[1] (numeric) = 2.2168239415873434 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.01307134083143400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.937238257284651 " "
Order of pole = 2.0816648548632912 " "
x[1] = 0.6360000000000005 " "
y[1] (analytic) = 2.2175615142594323 " "
y[1] (numeric) = 2.217561514259434 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.01040615098100300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9362367154508625 " "
Order of pole = 2.081664825961276 " "
x[1] = 0.6370000000000005 " "
y[1] (analytic) = 2.218300632085347 " "
y[1] (numeric) = 2.2183006320853487 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.00773715567289600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9352351736558131 " "
Order of pole = 2.0816647981472265 " "
x[1] = 0.6380000000000005 " "
y[1] (analytic) = 2.219041297350878 " "
y[1] (numeric) = 2.2190412973508793 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.00379826702940200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9342336318980324 " "
Order of pole = 2.081664771380982 " "
x[1] = 0.6390000000000005 " "
y[1] (analytic) = 2.219783512349995 " "
y[1] (numeric) = 2.2197835123499963 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.00179081490595500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9332320901761431 " "
Order of pole = 2.0816647456249306 " "
x[1] = 0.6400000000000005 " "
y[1] (analytic) = 2.220527279384879 " "
y[1] (numeric) = 2.2205272793848803 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 5.99978051122725700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.932230548488712 " "
Order of pole = 2.08166472083969 " "
x[1] = 0.6410000000000005 " "
y[1] (analytic) = 2.2212726007659565 " "
y[1] (numeric) = 2.2212726007659573 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.99851157122208530000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9312290068344616 " "
Order of pole = 2.0816646969902877 " "
x[1] = 0.6420000000000005 " "
y[1] (analytic) = 2.222019478811931 " "
y[1] (numeric) = 2.2220194788119323 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 5.9957513525602600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9302274652121082 " "
Order of pole = 2.0816646740414733 " "
x[1] = 0.6430000000000005 " "
y[1] (analytic) = 2.2227679158498206 " "
y[1] (numeric) = 2.2227679158498215 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.995821666161454000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9292259236204226 " "
Order of pole = 2.0816646519594393 " "
x[1] = 0.6440000000000005 " "
y[1] (analytic) = 2.2235179142149883 " "
y[1] (numeric) = 2.2235179142149892 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.99447386513949450000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9282243820582592 " "
Order of pole = 2.081664630712744 " "
x[1] = 0.6450000000000005 " "
y[1] (analytic) = 2.2242694762511794 " "
y[1] (numeric) = 2.2242694762511803 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.99312416585905700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.927222840524489 " "
Order of pole = 2.081664610270291 " "
x[1] = 0.6460000000000005 " "
y[1] (analytic) = 2.225022604310555 " "
y[1] (numeric) = 2.225022604310556 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.99177256886941100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9262212990179676 " "
Order of pole = 2.081664590600397 " "
x[1] = 0.6470000000000005 " "
y[1] (analytic) = 2.225777300753726 " "
y[1] (numeric) = 2.2257773007537267 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.990419074717659300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9252197575377037 " "
Order of pole = 2.0816645716758337 " "
x[1] = 0.6480000000000005 " "
y[1] (analytic) = 2.226533567949789 " "
y[1] (numeric) = 2.2265335679497897 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.98906368394871100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.924218216082695 " "
Order of pole = 2.08166455346894 " "
x[1] = 0.6490000000000005 " "
y[1] (analytic) = 2.2272914082763613 " "
y[1] (numeric) = 2.227291408276362 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.987706397105270600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9232166746519266 " "
Order of pole = 2.081664535951518 " "
x[1] = 0.6500000000000005 " "
y[1] (analytic) = 2.2280508241196166 " "
y[1] (numeric) = 2.2280508241196175 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.98634721472781800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.922215133244517 " "
Order of pole = 2.081664519099288 " "
x[1] = 0.6510000000000005 " "
y[1] (analytic) = 2.2288118178743193 " "
y[1] (numeric) = 2.22881181787432 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.98498613735459300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9212135918595299 " "
Order of pole = 2.0816645028862233 " "
x[1] = 0.6520000000000005 " "
y[1] (analytic) = 2.229574391943861 " "
y[1] (numeric) = 2.229574391943862 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 5.97543474828236900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.920212050496137 " "
Order of pole = 2.081664487289416 " "
x[1] = 0.6530000000000005 " "
y[1] (analytic) = 2.2303385487402974 " "
y[1] (numeric) = 2.2303385487402982 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.982258299762479500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9192105091535023 " "
Order of pole = 2.0816644722856275 " "
x[1] = 0.6540000000000005 " "
y[1] (analytic) = 2.231104290684382 " "
y[1] (numeric) = 2.231104290684383 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.9808915406087100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9182089678307832 " "
Order of pole = 2.081664457851357 " "
x[1] = 0.6550000000000005 " "
y[1] (analytic) = 2.2318716202056055 " "
y[1] (numeric) = 2.2318716202056064 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.97952288858937200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9172074265272689 " "
Order of pole = 2.0816644439669254 " "
x[1] = 0.6560000000000005 " "
y[1] (analytic) = 2.2326405397422295 " "
y[1] (numeric) = 2.2326405397422304 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.9781523442312405000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9162058852421642 " "
Order of pole = 2.0816644306100685 " "
x[1] = 0.6570000000000005 " "
y[1] (analytic) = 2.2334110517413253 " "
y[1] (numeric) = 2.2334110517413257 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.988389954029372600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9152043439748201 " "
Order of pole = 2.0816644177628056 " "
x[1] = 0.6580000000000005 " "
y[1] (analytic) = 2.2341831586588086 " "
y[1] (numeric) = 2.2341831586588095 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.975405580593952500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9142028027245439 " "
Order of pole = 2.0816644054057996 " "
x[1] = 0.6590000000000005 " "
y[1] (analytic) = 2.2349568629594803 " "
y[1] (numeric) = 2.2349568629594807 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.987014681178273500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9132012614906285 " "
Order of pole = 2.081664393519169 " "
x[1] = 0.6600000000000005 " "
y[1] (analytic) = 2.235732167117059 " "
y[1] (numeric) = 2.23573216711706 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.972651253863816500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9121997202724812 " "
Order of pole = 2.0816643820864336 " "
x[1] = 0.6610000000000005 " "
y[1] (analytic) = 2.2365090736142235 " "
y[1] (numeric) = 2.2365090736142244 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.971271255630629500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9111981790694695 " "
Order of pole = 2.081664371089815 " "
x[1] = 0.6620000000000005 " "
y[1] (analytic) = 2.2372875849426466 " "
y[1] (numeric) = 2.2372875849426475 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.96988936816942100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9101966378810235 " "
Order of pole = 2.081664360513365 " "
x[1] = 0.6630000000000005 " "
y[1] (analytic) = 2.238067703603035 " "
y[1] (numeric) = 2.2380677036030363 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 5.95275838798526200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9091950967065846 " "
Order of pole = 2.081664350341402 " "
x[1] = 0.6640000000000005 " "
y[1] (analytic) = 2.2388494321051686 " "
y[1] (numeric) = 2.2388494321051695 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.967119927600400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9081935555455952 " "
Order of pole = 2.0816643405582624 " "
x[1] = 0.6650000000000005 " "
y[1] (analytic) = 2.239632772967935 " "
y[1] (numeric) = 2.239632772967936 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 5.94859856325768300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9071920143975514 " "
Order of pole = 2.0816643311497707 " "
x[1] = 0.6660000000000005 " "
y[1] (analytic) = 2.2404177287193727 " "
y[1] (numeric) = 2.240417728719374 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 5.94651440431028400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9061904732619446 " "
Order of pole = 2.081664322101613 " "
x[1] = 0.6670000000000005 " "
y[1] (analytic) = 2.2412043018967074 " "
y[1] (numeric) = 2.2412043018967087 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 5.94442741530838500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9051889321382688 " "
Order of pole = 2.0816643133994717 " "
x[1] = 0.6680000000000005 " "
y[1] (analytic) = 2.2419924950463908 " "
y[1] (numeric) = 2.241992495046392 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 5.9423375969981600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.904187391026102 " "
Order of pole = 2.081664305031527 " "
x[1] = 0.6690000000000005 " "
y[1] (analytic) = 2.2427823107241407 " "
y[1] (numeric) = 2.2427823107241425 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.92032660016257800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9031858499249755 " "
Order of pole = 2.0816642969844708 " "
x[1] = 0.6700000000000005 " "
y[1] (analytic) = 2.2435737514949814 " "
y[1] (numeric) = 2.243573751494983 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.91753263389088100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9021843088344689 " "
Order of pole = 2.0816642892464685 " "
x[1] = 0.6710000000000005 " "
y[1] (analytic) = 2.2443668199332816 " "
y[1] (numeric) = 2.2443668199332834 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.91473489816186100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9011827677541653 " "
Order of pole = 2.0816642818056863 " "
x[1] = 0.6720000000000005 " "
y[1] (analytic) = 2.2451615186227953 " "
y[1] (numeric) = 2.245161518622797 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.91193339394969500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.9001812266836543 " "
Order of pole = 2.08166427465045 " "
x[1] = 0.6730000000000005 " "
y[1] (analytic) = 2.245957850156702 " "
y[1] (numeric) = 2.245957850156704 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.90912812222327700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8991796856225718 " "
Order of pole = 2.0816642677704884 " "
x[1] = 0.6740000000000005 " "
y[1] (analytic) = 2.2467558171376467 " "
y[1] (numeric) = 2.2467558171376485 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.90631908394619500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8981781445705463 " "
Order of pole = 2.081664261155236 " "
x[1] = 0.6750000000000005 " "
y[1] (analytic) = 2.247555422177781 " "
y[1] (numeric) = 2.2475554221777827 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.90350628007668900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8971766035272214 " "
Order of pole = 2.0816642547945463 " "
x[1] = 0.6760000000000005 " "
y[1] (analytic) = 2.2483566678988027 " "
y[1] (numeric) = 2.248356667898805 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.87586213945951400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8961750624922663 " "
Order of pole = 2.0816642486790222 " "
x[1] = 0.6770000000000005 " "
y[1] (analytic) = 2.249159556932 " "
y[1] (numeric) = 2.2491595569320024 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.87233672420797700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8951735214653506 " "
Order of pole = 2.081664242799242 " "
x[1] = 0.6780000000000005 " "
y[1] (analytic) = 2.2499640919182893 " "
y[1] (numeric) = 2.2499640919182915 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.86880660551871400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.894171980446182 " "
Order of pole = 2.0816642371469207 " "
x[1] = 0.6790000000000005 " "
y[1] (analytic) = 2.2507702755082577 " "
y[1] (numeric) = 2.25077027550826 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.865271784562301000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8931704394344004 " "
Order of pole = 2.0816642317116454 " "
x[1] = 0.6800000000000005 " "
y[1] (analytic) = 2.251578110362207 " "
y[1] (numeric) = 2.2515781103622086 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.88938581000190900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8921688984297912 " "
Order of pole = 2.0816642264874297 " "
x[1] = 0.6810000000000005 " "
y[1] (analytic) = 2.2523875991501914 " "
y[1] (numeric) = 2.2523875991501936 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.85818804049565100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8911673574319974 " "
Order of pole = 2.081664221463896 " "
x[1] = 0.6820000000000005 " "
y[1] (analytic) = 2.2531987445520656 " "
y[1] (numeric) = 2.253198744552068 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.85463911969175400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8901658164407992 " "
Order of pole = 2.08166421663487 " "
x[1] = 0.6830000000000005 " "
y[1] (analytic) = 2.254011549257522 " "
y[1] (numeric) = 2.254011549257524 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.85108550123327700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8891642754559492 " "
Order of pole = 2.081664211993246 " "
x[1] = 0.6840000000000005 " "
y[1] (analytic) = 2.254826015966135 " "
y[1] (numeric) = 2.2548260159661377 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.18170326235068330000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.888162734477147 " "
Order of pole = 2.081664207530295 " "
x[1] = 0.6850000000000005 " "
y[1] (analytic) = 2.255642147387407 " "
y[1] (numeric) = 2.2556421473874098 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.18127570110647560000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8871611935042235 " "
Order of pole = 2.0816642032413313 " "
x[1] = 0.6860000000000005 " "
y[1] (analytic) = 2.256459946240807 " "
y[1] (numeric) = 2.2564599462408097 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.18084757654990060000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8861596525369051 " "
Order of pole = 2.08166419911835 " "
x[1] = 0.6870000000000005 " "
y[1] (analytic) = 2.257279415255817 " "
y[1] (numeric) = 2.2572794152558195 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.18041888881461530000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8851581115749539 " "
Order of pole = 2.0816641951544703 " "
x[1] = 0.6880000000000005 " "
y[1] (analytic) = 2.2581005571719746 " "
y[1] (numeric) = 2.2581005571719777 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.37665457770563240000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8841565706182124 " "
Order of pole = 2.081664191345272 " "
x[1] = 0.6890000000000005 " "
y[1] (analytic) = 2.2589233747389184 " "
y[1] (numeric) = 2.258923374738922 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.57274643245086440000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8831550296664359 " "
Order of pole = 2.0816641876836 " "
x[1] = 0.6900000000000005 " "
y[1] (analytic) = 2.259747870716431 " "
y[1] (numeric) = 2.2597478707164345 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.57217259714648980000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8821534887194491 " "
Order of pole = 2.0816641841644383 " "
x[1] = 0.6910000000000005 " "
y[1] (analytic) = 2.260574047874483 " "
y[1] (numeric) = 2.2605740478744862 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.37514826018344280000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8811519477770409 " "
Order of pole = 2.081664180781626 " "
x[1] = 0.6920000000000005 " "
y[1] (analytic) = 2.261401908993279 " "
y[1] (numeric) = 2.261401908993282 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.37464484158604160000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8801504068390688 " "
Order of pole = 2.081664177531099 " "
x[1] = 0.6930000000000005 " "
y[1] (analytic) = 2.2622314568633017 " "
y[1] (numeric) = 2.2622314568633053 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.57044659069789340000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8791488659053353 " "
Order of pole = 2.0816641744071127 " "
x[1] = 0.6940000000000005 " "
y[1] (analytic) = 2.263062694285359 " "
y[1] (numeric) = 2.263062694285362 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.37363603615590270000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8781473249756468 " "
Order of pole = 2.0816641714039648 " "
x[1] = 0.6950000000000005 " "
y[1] (analytic) = 2.263895624070626 " "
y[1] (numeric) = 2.2638956240706296 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.56929217099351040000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8771457840499051 " "
Order of pole = 2.0816641685189374 " "
x[1] = 0.6960000000000005 " "
y[1] (analytic) = 2.2647302490406953 " "
y[1] (numeric) = 2.2647302490406984 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.37262460739737270000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8761442431279105 " "
Order of pole = 2.081664165746133 " "
x[1] = 0.6970000000000005 " "
y[1] (analytic) = 2.2655665720276184 " "
y[1] (numeric) = 2.2655665720276215 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.3721179096354280000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8751427022095136 " "
Order of pole = 2.0816641630811823 " "
x[1] = 0.6980000000000005 " "
y[1] (analytic) = 2.2664045958739556 " "
y[1] (numeric) = 2.2664045958739587 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.37161055647776420000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8741411612945921 " "
Order of pole = 2.081664160520564 " "
x[1] = 0.6990000000000005 " "
y[1] (analytic) = 2.2672443234328217 " "
y[1] (numeric) = 2.267244323432825 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.37110254806755340000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8731396203830012 " "
Order of pole = 2.0816641580600432 " "
x[1] = 0.7000000000000005 " "
y[1] (analytic) = 2.2680857575679316 " "
y[1] (numeric) = 2.2680857575679347 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.37059388454685960000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8721380794745951 " "
Order of pole = 2.081664155695332 " "
x[1] = 0.7010000000000005 " "
y[1] (analytic) = 2.2689289011536484 " "
y[1] (numeric) = 2.2689289011536515 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.3700845660566280000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8711365385692752 " "
Order of pole = 2.081664153423599 " "
x[1] = 0.7020000000000005 " "
y[1] (analytic) = 2.2697737570750314 " "
y[1] (numeric) = 2.2697737570750345 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.36957459273667930000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8701349976669102 " "
Order of pole = 2.0816641512409824 " "
x[1] = 0.7030000000000005 " "
y[1] (analytic) = 2.2706203282278827 " "
y[1] (numeric) = 2.270620328227886 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.36906396472570140000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8691334567673538 " "
Order of pole = 2.0816641491431156 " "
x[1] = 0.7040000000000005 " "
y[1] (analytic) = 2.2714686175187957 " "
y[1] (numeric) = 2.271468617518799 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.3685526821612430000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8681319158705446 " "
Order of pole = 2.081664147128322 " "
x[1] = 0.7050000000000005 " "
y[1] (analytic) = 2.2723186278652032 " "
y[1] (numeric) = 2.2723186278652063 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.36804074517970530000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8671303749763315 " "
Order of pole = 2.081664145192061 " "
x[1] = 0.7060000000000005 " "
y[1] (analytic) = 2.273170362195426 " "
y[1] (numeric) = 2.273170362195429 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.36752815391633560000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.866128834084631 " "
Order of pole = 2.0816641433319063 " "
x[1] = 0.7070000000000005 " "
y[1] (analytic) = 2.2740238234487222 " "
y[1] (numeric) = 2.2740238234487253 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.3670149085052170000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.865127293195354 " "
Order of pole = 2.081664141545268 " "
x[1] = 0.7080000000000005 " "
y[1] (analytic) = 2.274879014575335 " "
y[1] (numeric) = 2.274879014575338 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.36650100907926450000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8641257523083713 " "
Order of pole = 2.08166413982827 " "
x[1] = 0.7090000000000005 " "
y[1] (analytic) = 2.275735938536543 " "
y[1] (numeric) = 2.2757359385365468 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.56112737802310400000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8631242114236188 " "
Order of pole = 2.081664138179093 " "
x[1] = 0.7100000000000005 " "
y[1] (analytic) = 2.2765945983047113 " "
y[1] (numeric) = 2.276594598304715 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.5605385699527110000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8621226705410115 " "
Order of pole = 2.0816641365951867 " "
x[1] = 0.7110000000000005 " "
y[1] (analytic) = 2.2774549968633377 " "
y[1] (numeric) = 2.2774549968633413 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.55994901488439250000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8611211296604238 " "
Order of pole = 2.0816641350727814 " "
x[1] = 0.7120000000000005 " "
y[1] (analytic) = 2.2783171372071065 " "
y[1] (numeric) = 2.27831713720711 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.55935871296461550000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8601195887818143 " "
Order of pole = 2.0816641336107296 " "
x[1] = 0.7130000000000005 " "
y[1] (analytic) = 2.279181022341938 " "
y[1] (numeric) = 2.2791810223419415 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.55876766433846650000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8591180479051055 " "
Order of pole = 2.0816641322067326 " "
x[1] = 0.7140000000000005 " "
y[1] (analytic) = 2.2800466552850382 " "
y[1] (numeric) = 2.280046655285042 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.5581758691496430000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8581165070302086 " "
Order of pole = 2.081664130858144 " "
x[1] = 0.7150000000000005 " "
y[1] (analytic) = 2.280914039064952 " "
y[1] (numeric) = 2.2809140390649554 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.55758332754044350000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8571149661570252 " "
Order of pole = 2.0816641295619327 " "
x[1] = 0.7160000000000005 " "
y[1] (analytic) = 2.2817831767216123 " "
y[1] (numeric) = 2.281783176721616 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.55699003965175940000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8561134252855205 " "
Order of pole = 2.0816641283172004 " "
x[1] = 0.7170000000000005 " "
y[1] (analytic) = 2.282654071306394 " "
y[1] (numeric) = 2.2826540713063976 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.5563960056230660000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8551118844156512 " "
Order of pole = 2.081664127122668 " "
x[1] = 0.7180000000000005 " "
y[1] (analytic) = 2.283526725882165 " "
y[1] (numeric) = 2.2835267258821688 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.5558012255924122000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8541103435472948 " "
Order of pole = 2.0816641259745587 " "
x[1] = 0.7190000000000005 " "
y[1] (analytic) = 2.2844011435233385 " "
y[1] (numeric) = 2.2844011435233424 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.74960641215846540000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8531088026804092 " "
Order of pole = 2.081664124871665 " "
x[1] = 0.7200000000000005 " "
y[1] (analytic) = 2.285277327315926 " "
y[1] (numeric) = 2.2852773273159297 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.55460942807024100000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8521072618149655 " "
Order of pole = 2.081664123813198 " "
x[1] = 0.7210000000000005 " "
y[1] (analytic) = 2.2861552803575895 " "
y[1] (numeric) = 2.2861552803575935 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.74826396220356600000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8511057209508819 " "
Order of pole = 2.0816641227966564 " "
x[1] = 0.7220000000000005 " "
y[1] (analytic) = 2.287035005757697 " "
y[1] (numeric) = 2.2870350057577005 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.55341464816078900000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8501041800880921 " "
Order of pole = 2.081664121819994 " "
x[1] = 0.7230000000000005 " "
y[1] (analytic) = 2.2879165066373726 " "
y[1] (numeric) = 2.287916506637376 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.55281614014055200000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.849102639226573 " "
Order of pole = 2.081664120882632 " "
x[1] = 0.7240000000000005 " "
y[1] (analytic) = 2.2887997861295544 " "
y[1] (numeric) = 2.2887997861295575 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.35818977605168230000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8481010983662499 " "
Order of pole = 2.081664119982232 " "
x[1] = 0.7250000000000005 " "
y[1] (analytic) = 2.289684847379045 " "
y[1] (numeric) = 2.2896848473790485 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.55161688861557480000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8470995575070683 " "
Order of pole = 2.0816641191171676 " "
x[1] = 0.7260000000000005 " "
y[1] (analytic) = 2.29057169354257 " "
y[1] (numeric) = 2.2905716935425735 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.5510161453649670000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8460980166490218 " "
Order of pole = 2.081664118287307 " "
x[1] = 0.7270000000000005 " "
y[1] (analytic) = 2.2914603277888297 " "
y[1] (numeric) = 2.2914603277888332 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.55041465728919330000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8450964757920076 " "
Order of pole = 2.0816641174894563 " "
x[1] = 0.7280000000000005 " "
y[1] (analytic) = 2.292350753298556 " "
y[1] (numeric) = 2.292350753298559 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.35608587144760150000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8440949349360524 " "
Order of pole = 2.0816641167245606 " "
x[1] = 0.7290000000000005 " "
y[1] (analytic) = 2.293242973264566 " "
y[1] (numeric) = 2.293242973264569 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.3555582662595620000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8430933940810472 " "
Order of pole = 2.081664115989163 " "
x[1] = 0.7300000000000005 " "
y[1] (analytic) = 2.294136990891822 " "
y[1] (numeric) = 2.294136990891825 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.3550300096691230000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.842091853227015 " "
Order of pole = 2.0816641152841235 " "
x[1] = 0.7310000000000005 " "
y[1] (analytic) = 2.295032809397483 " "
y[1] (numeric) = 2.2950328093974863 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.354501101780130000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8410903123738703 " "
Order of pole = 2.0816641146067383 " "
x[1] = 0.7320000000000005 " "
y[1] (analytic) = 2.295930432010965 " "
y[1] (numeric) = 2.2959304320109686 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.54739604879436250000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8400887715215906 " "
Order of pole = 2.08166411395635 " "
x[1] = 0.7330000000000005 " "
y[1] (analytic) = 2.296829861973996 " "
y[1] (numeric) = 2.2968298619739995 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.54679009430291170000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.839087230670152 " "
Order of pole = 2.0816641133322733 " "
x[1] = 0.7340000000000005 " "
y[1] (analytic) = 2.297731102540673 " "
y[1] (numeric) = 2.2977311025406766 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.54618339581692330000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8380856898194925 " "
Order of pole = 2.081664112732536 " "
x[1] = 0.7350000000000005 " "
y[1] (analytic) = 2.2986341569775215 " "
y[1] (numeric) = 2.298634156977525 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.54557595344879530000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8370841489696179 " "
Order of pole = 2.081664112157423 " "
x[1] = 0.7360000000000005 " "
y[1] (analytic) = 2.2995390285635513 " "
y[1] (numeric) = 2.299539028563555 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.54496776730933230000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8360826081204517 " "
Order of pole = 2.081664111604489 " "
x[1] = 0.7370000000000005 " "
y[1] (analytic) = 2.300445720590316 " "
y[1] (numeric) = 2.3004457205903197 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.54435883750773360000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8350810672720215 " "
Order of pole = 2.0816641110747156 " "
x[1] = 0.7380000000000005 " "
y[1] (analytic) = 2.3013542363619726 " "
y[1] (numeric) = 2.301354236361976 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.54374916415158350000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.83407952642426 " "
Order of pole = 2.0816641105659492 " "
x[1] = 0.7390000000000005 " "
y[1] (analytic) = 2.302264579195338 " "
y[1] (numeric) = 2.3022645791953416 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.5431387473468430000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8330779855771313 " "
Order of pole = 2.081664110077096 " "
x[1] = 0.7400000000000005 " "
y[1] (analytic) = 2.303176752419951 " "
y[1] (numeric) = 2.303176752419954 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.3497116387981090000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8320764447306488 " "
Order of pole = 2.081664109608621 " "
x[1] = 0.7410000000000005 " "
y[1] (analytic) = 2.304090759378129 " "
y[1] (numeric) = 2.3040907593781323 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.54191568380725300000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8310749038847343 " "
Order of pole = 2.0816641091580195 " "
x[1] = 0.7420000000000005 " "
y[1] (analytic) = 2.3050066034250323 " "
y[1] (numeric) = 2.305006603425036 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.54130303727611360000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8300733630394219 " "
Order of pole = 2.081664108726514 " "
x[1] = 0.7430000000000005 " "
y[1] (analytic) = 2.3059242879287214 " "
y[1] (numeric) = 2.3059242879287245 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.3481034417408110000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8290718221946413 " "
Order of pole = 2.0816641083117773 " "
x[1] = 0.7440000000000005 " "
y[1] (analytic) = 2.306843816270218 " "
y[1] (numeric) = 2.306843816270221 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.34756607578945950000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8280702813503846 " "
Order of pole = 2.081664107913628 " "
x[1] = 0.7450000000000006 " "
y[1] (analytic) = 2.307765191843567 " "
y[1] (numeric) = 2.30776519184357 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.34702805984654870000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8270687405066519 " "
Order of pole = 2.08166410753212 " "
x[1] = 0.7460000000000006 " "
y[1] (analytic) = 2.3086884180558997 " "
y[1] (numeric) = 2.308688418055903 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.3464893939945990000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8260671996634029 " "
Order of pole = 2.081664107165963 " "
x[1] = 0.7470000000000006 " "
y[1] (analytic) = 2.309613498327492 " "
y[1] (numeric) = 2.309613498327495 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.34595007831464030000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8250656588206102 " "
Order of pole = 2.0816641068142907 " "
x[1] = 0.7480000000000006 " "
y[1] (analytic) = 2.3105404360918294 " "
y[1] (numeric) = 2.3105404360918325 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.34541011288620030000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8240641179782769 " "
Order of pole = 2.0816641064772554 " "
x[1] = 0.7490000000000006 " "
y[1] (analytic) = 2.31146923479567 " "
y[1] (numeric) = 2.311469234795673 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.3448694977872960000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8230625771363562 " "
Order of pole = 2.0816641061533403 " "
x[1] = 0.7500000000000006 " "
y[1] (analytic) = 2.312399897899106 " "
y[1] (numeric) = 2.312399897899109 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.3443282330944270000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8220610362948432 " "
Order of pole = 2.0816641058424317 " "
x[1] = 0.7510000000000006 " "
y[1] (analytic) = 2.313332428875628 " "
y[1] (numeric) = 2.313332428875631 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.3437863188825630000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8210594954537269 " "
Order of pole = 2.081664105544192 " "
x[1] = 0.7520000000000006 " "
y[1] (analytic) = 2.314266831212189 " "
y[1] (numeric) = 2.314266831212192 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.34324375522513670000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8200579546129919 " "
Order of pole = 2.0816641052581524 " "
x[1] = 0.7530000000000006 " "
y[1] (analytic) = 2.315203108409268 " "
y[1] (numeric) = 2.3152031084092712 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.34270054219403440000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8190564137726303 " "
Order of pole = 2.081664104984071 " "
x[1] = 0.7540000000000006 " "
y[1] (analytic) = 2.3161412639809367 " "
y[1] (numeric) = 2.31614126398094 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.34215667985958580000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8180548729325867 " "
Order of pole = 2.08166410472014 " "
x[1] = 0.7550000000000006 " "
y[1] (analytic) = 2.3170813014549214 " "
y[1] (numeric) = 2.3170813014549245 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.34161216829055520000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8170533320929096 " "
Order of pole = 2.081664104468011 " "
x[1] = 0.7560000000000006 " "
y[1] (analytic) = 2.3180232243726713 " "
y[1] (numeric) = 2.3180232243726744 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.34106700755413200000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8160517912535413 " "
Order of pole = 2.081664104225794 " "
x[1] = 0.7570000000000006 " "
y[1] (analytic) = 2.318967036289423 " "
y[1] (numeric) = 2.318967036289426 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.34052119771592180000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8150502504144734 " "
Order of pole = 2.0816641039932193 " "
x[1] = 0.7580000000000006 " "
y[1] (analytic) = 2.319912740774266 " "
y[1] (numeric) = 2.319912740774269 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.33997473883993630000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8140487095756854 " "
Order of pole = 2.0816641037696613 " "
x[1] = 0.7590000000000006 " "
y[1] (analytic) = 2.320860341410212 " "
y[1] (numeric) = 2.3208603414102154 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.53077443541552560000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8130471687372101 " "
Order of pole = 2.0816641035562213 " "
x[1] = 0.7600000000000006 " "
y[1] (analytic) = 2.32180984179426 " "
y[1] (numeric) = 2.321809841794263 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.33887987422266240000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.812045627898985 " "
Order of pole = 2.081664103350832 " "
x[1] = 0.7610000000000006 " "
y[1] (analytic) = 2.322761245537464 " "
y[1] (numeric) = 2.322761245537467 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.33833146860134280000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8110440870610137 " "
Order of pole = 2.081664103153628 " "
x[1] = 0.7620000000000006 " "
y[1] (analytic) = 2.323714556265001 " "
y[1] (numeric) = 2.323714556265004 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.3377824141821681000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8100425462233223 " "
Order of pole = 2.081664102965533 " "
x[1] = 0.7630000000000006 " "
y[1] (analytic) = 2.3246697776162404 " "
y[1] (numeric) = 2.3246697776162435 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.33723271102103770000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.809041005385836 " "
Order of pole = 2.081664102784032 " "
x[1] = 0.7640000000000006 " "
y[1] (analytic) = 2.325626913244812 " "
y[1] (numeric) = 2.325626913244815 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.33668235917220070000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8080394645485959 " "
Order of pole = 2.081664102610546 " "
x[1] = 0.7650000000000006 " "
y[1] (analytic) = 2.326585966818674 " "
y[1] (numeric) = 2.3265859668186777 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.52700726707227980000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8070379237115627 " "
Order of pole = 2.0816641024437565 " "
x[1] = 0.7660000000000006 " "
y[1] (analytic) = 2.3275469420201866 " "
y[1] (numeric) = 2.3275469420201897 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.33557970962008530000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8060363828747633 " "
Order of pole = 2.08166410228462 " "
x[1] = 0.7670000000000006 " "
y[1] (analytic) = 2.3285098425461763 " "
y[1] (numeric) = 2.3285098425461794 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.3350274120169590000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8050348420381236 " "
Order of pole = 2.0816641021306133 " "
x[1] = 0.7680000000000006 " "
y[1] (analytic) = 2.329474672108012 " "
y[1] (numeric) = 2.329474672108015 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.14383525650835140000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8040333012017128 " "
Order of pole = 2.081664101984124 " "
x[1] = 0.7690000000000006 " "
y[1] (analytic) = 2.3304414344316724 " "
y[1] (numeric) = 2.330441434431675 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.1433607469093851000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8030317603654811 " "
Order of pole = 2.081664101843483 " "
x[1] = 0.7700000000000006 " "
y[1] (analytic) = 2.3314101332578185 " "
y[1] (numeric) = 2.3314101332578216 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.33336662846471030000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8020302195294059 " "
Order of pole = 2.081664101707908 " "
x[1] = 0.7710000000000006 " "
y[1] (analytic) = 2.3323807723418666 " "
y[1] (numeric) = 2.3323807723418697 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.33281173718010510000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8010286786935117 " "
Order of pole = 2.08166410157828 " "
x[1] = 0.7720000000000006 " "
y[1] (analytic) = 2.333353355454059 " "
y[1] (numeric) = 2.333353355454062 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.33225619758114840000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.8000271378577957 " "
Order of pole = 2.081664101454507 " "
x[1] = 0.7730000000000006 " "
y[1] (analytic) = 2.334327886379537 " "
y[1] (numeric) = 2.33432788637954 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.33170000970678080000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7990255970222043 " "
Order of pole = 2.0816641013347805 " "
x[1] = 0.7740000000000006 " "
y[1] (analytic) = 2.3353043689184156 " "
y[1] (numeric) = 2.3353043689184183 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.1409798630807350000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.79802405618679 " "
Order of pole = 2.081664101220916 " "
x[1] = 0.7750000000000006 " "
y[1] (analytic) = 2.3362828068858548 " "
y[1] (numeric) = 2.336282806885858 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.33058568927880600000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7970225153515008 " "
Order of pole = 2.0816641011111336 " "
x[1] = 0.7760000000000006 " "
y[1] (analytic) = 2.3372632041121366 " "
y[1] (numeric) = 2.3372632041121397 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.3300275567942810000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7960209745163591 " "
Order of pole = 2.0816641010062256 " "
x[1] = 0.7770000000000006 " "
y[1] (analytic) = 2.3382455644427376 " "
y[1] (numeric) = 2.3382455644427402 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.13954466529070530000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7950194336813498 " "
Order of pole = 2.0816641009056696 " "
x[1] = 0.7780000000000006 " "
y[1] (analytic) = 2.3392298917384036 " "
y[1] (numeric) = 2.3392298917384067 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.32890934744351180000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7940178928464516 " "
Order of pole = 2.0816641008087693 " "
x[1] = 0.7790000000000006 " "
y[1] (analytic) = 2.3402161898752283 " "
y[1] (numeric) = 2.3402161898752314 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.3283492706356240000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7930163520116813 " "
Order of pole = 2.081664100716111 " "
x[1] = 0.7800000000000006 " "
y[1] (analytic) = 2.341204462744726 " "
y[1] (numeric) = 2.341204462744729 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.327788545775290000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7920148111770452 " "
Order of pole = 2.0816641006279077 " "
x[1] = 0.7810000000000006 " "
y[1] (analytic) = 2.34219471425391 " "
y[1] (numeric) = 2.342194714253913 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.3272271728871482000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7910132703425086 " "
Order of pole = 2.0816641005429872 " "
x[1] = 0.7820000000000006 " "
y[1] (analytic) = 2.343186948325369 " "
y[1] (numeric) = 2.343186948325372 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.32666515199400230000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7900117295080714 " "
Order of pole = 2.081664100461367 " "
x[1] = 0.7830000000000006 " "
y[1] (analytic) = 2.3441811688973453 " "
y[1] (numeric) = 2.3441811688973484 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.3261024831168110000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7890101886737456 " "
Order of pole = 2.081664100383449 " "
x[1] = 0.7840000000000006 " "
y[1] (analytic) = 2.3451773799238116 " "
y[1] (numeric) = 2.3451773799238147 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.3255391662746760000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7880086478395179 " "
Order of pole = 2.0816641003087994 " "
x[1] = 0.7850000000000006 " "
y[1] (analytic) = 2.346175585374551 " "
y[1] (numeric) = 2.3461755853745543 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.32497520148483150000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7870071070053799 " "
Order of pole = 2.081664100237134 " "
x[1] = 0.7860000000000006 " "
y[1] (analytic) = 2.347175789235235 " "
y[1] (numeric) = 2.347175789235238 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.32441058876263420000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7860055661713095 " "
Order of pole = 2.0816641001676786 " "
x[1] = 0.7870000000000006 " "
y[1] (analytic) = 2.3481779955075033 " "
y[1] (numeric) = 2.3481779955075064 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.32384532812155180000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.785004025337347 " "
Order of pole = 2.0816641001018716 " "
x[1] = 0.7880000000000006 " "
y[1] (analytic) = 2.349182208209044 " "
y[1] (numeric) = 2.349182208209047 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.32327941957315150000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.784002484503479 " "
Order of pole = 2.0816641000392337 " "
x[1] = 0.7890000000000006 " "
y[1] (analytic) = 2.3501884313736743 " "
y[1] (numeric) = 2.3501884313736774 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.32271286312709040000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7830009436696602 " "
Order of pole = 2.0816640999781875 " "
x[1] = 0.7900000000000006 " "
y[1] (analytic) = 2.351196669051421 " "
y[1] (numeric) = 2.3511966690514243 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.3221456587911032000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7819994028359404 " "
Order of pole = 2.0816640999205127 " "
x[1] = 0.7910000000000006 " "
y[1] (analytic) = 2.352206925308603 " "
y[1] (numeric) = 2.352206925308606 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.3215778065709910000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7809978620022868 " "
Order of pole = 2.0816640998650406 " "
x[1] = 0.7920000000000006 " "
y[1] (analytic) = 2.353219204227912 " "
y[1] (numeric) = 2.353219204227915 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.32100930647061130000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7799963211686867 " "
Order of pole = 2.0816640998113343 " "
x[1] = 0.7930000000000006 " "
y[1] (analytic) = 2.354233509908497 " "
y[1] (numeric) = 2.3542335099085006 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.5090744668478470000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7789947803351648 " "
Order of pole = 2.0816640997602818 " "
x[1] = 0.7940000000000006 " "
y[1] (analytic) = 2.3552498464660467 " "
y[1] (numeric) = 2.3552498464660503 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.50842327158250240000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7779932395016963 " "
Order of pole = 2.08166409971102 " "
x[1] = 0.7950000000000006 " "
y[1] (analytic) = 2.3562682180328727 " "
y[1] (numeric) = 2.356268218032876 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.31929991889703830000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7769916986683021 " "
Order of pole = 2.081664099664277 " "
x[1] = 0.7960000000000006 " "
y[1] (analytic) = 2.3572886287579933 " "
y[1] (numeric) = 2.357288628757997 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.507118659742720000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7759901578349739 " "
Order of pole = 2.0816640996197826 " "
x[1] = 0.7970000000000006 " "
y[1] (analytic) = 2.358311082807221 " "
y[1] (numeric) = 2.3583110828072247 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.50646524315677630000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7749886170016911 " "
Order of pole = 2.081664099576802 " "
x[1] = 0.7980000000000006 " "
y[1] (analytic) = 2.3593355843632446 " "
y[1] (numeric) = 2.3593355843632486 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.6940374718797160000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7739870761684606 " "
Order of pole = 2.0816640995355975 " "
x[1] = 0.7990000000000006 " "
y[1] (analytic) = 2.3603621376257182 " "
y[1] (numeric) = 2.360362137625722 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.50515618860678960000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7729855353352796 " "
Order of pole = 2.0816640994960522 " "
x[1] = 0.8000000000000006 " "
y[1] (analytic) = 2.3613907468113444 " "
y[1] (numeric) = 2.361390746811348 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.50450055061740000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7719839945021465 " "
Order of pole = 2.0816640994581412 " "
x[1] = 0.8010000000000006 " "
y[1] (analytic) = 2.362421416153964 " "
y[1] (numeric) = 2.3624214161539676 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.50384417213095670000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7709824536690473 " "
Order of pole = 2.081664099421353 " "
x[1] = 0.8020000000000006 " "
y[1] (analytic) = 2.363454149904643 " "
y[1] (numeric) = 2.3634541499046464 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.50318705312893010000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7699809128360161 " "
Order of pole = 2.08166409938692 " "
x[1] = 0.8030000000000006 " "
y[1] (analytic) = 2.36448895233176 " "
y[1] (numeric) = 2.3644889523317634 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.5025291935904220000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7689793720030272 " "
Order of pole = 2.0816640993539295 " "
x[1] = 0.8040000000000006 " "
y[1] (analytic) = 2.365525827721095 " "
y[1] (numeric) = 2.365525827721099 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.68960441767867370000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7679778311700749 " "
Order of pole = 2.0816640993221824 " "
x[1] = 0.8050000000000006 " "
y[1] (analytic) = 2.3665647803759216 " "
y[1] (numeric) = 2.366564780375925 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.5012112528084540000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7669762903371521 " "
Order of pole = 2.0816640992914266 " "
x[1] = 0.8060000000000006 " "
y[1] (analytic) = 2.367605814617091 " "
y[1] (numeric) = 2.367605814617095 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.68812006795014570000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7659747495042697 " "
Order of pole = 2.081664099262049 " "
x[1] = 0.8070000000000006 " "
y[1] (analytic) = 2.368648934783129 " "
y[1] (numeric) = 2.368648934783133 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.68737664326626200000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7649732086714167 " "
Order of pole = 2.08166409923367 " "
x[1] = 0.8080000000000006 " "
y[1] (analytic) = 2.369694145230323 " "
y[1] (numeric) = 2.369694145230327 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.68663238532080430000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7639716678386167 " "
Order of pole = 2.081664099207142 " "
x[1] = 0.8090000000000006 " "
y[1] (analytic) = 2.3707414503328152 " "
y[1] (numeric) = 2.3707414503328192 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.68588729407395940000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7629701270058497 " "
Order of pole = 2.08166409918174 " "
x[1] = 0.8100000000000006 " "
y[1] (analytic) = 2.371790854482695 " "
y[1] (numeric) = 2.371790854482699 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.68514136948314320000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7619685861731219 " "
Order of pole = 2.081664099157706 " "
x[1] = 0.8110000000000006 " "
y[1] (analytic) = 2.372842362090092 " "
y[1] (numeric) = 2.372842362090096 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.6843946115029840000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7609670453403976 " "
Order of pole = 2.0816640991337465 " "
x[1] = 0.8120000000000006 " "
y[1] (analytic) = 2.3738959775832678 " "
y[1] (numeric) = 2.373895977583272 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.87071891120589560000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7599655045077103 " "
Order of pole = 2.0816640991110695 " "
x[1] = 0.8130000000000006 " "
y[1] (analytic) = 2.374951705408713 " "
y[1] (numeric) = 2.3749517054087175 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.8698873279767930000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7589639636750635 " "
Order of pole = 2.0816640990898208 " "
x[1] = 0.8140000000000006 " "
y[1] (analytic) = 2.3760095500312404 " "
y[1] (numeric) = 2.376009550031245 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.8690548185895280000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7579624228424358 " "
Order of pole = 2.081664099069215 " "
x[1] = 0.8150000000000006 " "
y[1] (analytic) = 2.3770695159340804 " "
y[1] (numeric) = 2.3770695159340844 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.6813992446830070000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7569608820098359 " "
Order of pole = 2.0816640990495863 " "
x[1] = 0.8160000000000006 " "
y[1] (analytic) = 2.378131607618977 " "
y[1] (numeric) = 2.378131607618981 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.68064831897685650000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7559593411772412 " "
Order of pole = 2.0816640990300854 " "
x[1] = 0.8170000000000006 " "
y[1] (analytic) = 2.3791958296062856 " "
y[1] (numeric) = 2.3791958296062896 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.67989655954968760000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.754957800344682 " "
Order of pole = 2.081664099011846 " "
x[1] = 0.8180000000000006 " "
y[1] (analytic) = 2.380262186435069 " "
y[1] (numeric) = 2.3802621864350733 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.86571551815128970000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7539562595121541 " "
Order of pole = 2.081664098994704 " "
x[1] = 0.8190000000000006 " "
y[1] (analytic) = 2.3813306826631964 " "
y[1] (numeric) = 2.381330682663201 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.86487837696446600000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7529547186796463 " "
Order of pole = 2.081664098978262 " "
x[1] = 0.8200000000000006 " "
y[1] (analytic) = 2.3824013228674414 " "
y[1] (numeric) = 2.382401322867446 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.8640403091934150000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 0.7519531778471419 " "
Order of pole = 2.0816640989619124 " "
x[1] = 0.8210000000000006 " "
y[1] (analytic) = 2.3834741116435816 " "
y[1] (numeric) = 2.383474111643586 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.8632013147557550000000000000E-13 "%"
h = 1.000E-3 " "
"Finished!"
"Maximum Time Reached before Solution Completed!"
"diff ( y , x , 1 ) = sin ( x ) / cos ( x ) ;"
Iterations = 721
"Total Elapsed Time "= 15 Minutes 3 Seconds
"Elapsed Time(since restart) "= 15 Minutes 2 Seconds
"Expected Time Remaining "= 3 Minutes 42 Seconds
"Optimized Time Remaining "= 3 Minutes 42 Seconds
"Time to Timeout " Unknown
Percent Done = 80.22222222222229 "%"
(%o49) true
(%o49) diffeq.max