MAIN

****************************************************************************************
                               append_MinGW_dir utility

under Windows:
the directory \mingw64\bin is not in the PATH environment variable.
Now search in C:\Program Files
"mingw-w64" FOUND in lst(29)
Now execute:
>> setenv(PATHnow;C:\Program Files\mingw-w64\x86_64-5.1.0-posix-seh-rt_v4-rev0\mingw64\bin)
Appended to the PATH environment variable the directory /bin of MinGW 64bit

****************************************************************************************

====================================================================================

               >>>   Example 2.2.6, pag.88, Duffy - Talbot Suite   <<<

====================================================================================

NTval=5;  Tmin=0.5;  Tmax=20;  NXval=9;  Xmin=0;  Xmax=1;  tol=1.000000e-08
NOPTS1 = 46  (modified Talbot's method)
NOPTS2 = [14  82]  (classical Talbot's method)

    ***   Talbot Suite   ***
ABSERR1 = [ %  Tval(1)     Tval(2)      Tval(3)      Tval(4)  ... Tval(5)
           7.206770e-08 5.114764e-10 1.366627e-10 7.593770e-10 6.275063e-10    % Xval(1)
           2.440313e-08 3.362930e-10 5.010869e-11 1.933618e-08 4.168714e-10    % Xval(2)
           1.076344e-07 2.198930e-10 2.379412e-10 2.730058e-10 2.468071e-10    % Xval(3)
           1.664601e-07 1.251778e-10 1.367930e-10 4.273139e-09 1.396083e-10    % Xval(4)
           1.959425e-07 6.911552e-11 1.381332e-10 2.240349e-10 7.414871e-11    % Xval(5)
           1.968604e-07 2.622007e-11 4.412842e-10 1.632832e-10 2.382103e-11    % Xval(6)
           1.742526e-07 1.105908e-11 3.916667e-11 7.689790e-11 2.841505e-12    % Xval(7)
           1.356278e-07 2.032707e-12 8.794254e-11 7.756948e-11 1.182487e-09    % Xval(8)
           8.924338e-08 8.929718e-12 5.648992e-11 3.633464e-11 1.662362e-11    % Xval(9)
          ];

ABSERR2 = [ %  Tval(1)     Tval(2)      Tval(3)      Tval(4)  ... Tval(5)
           1.169759e-13 1.728822e-10 1.366627e-10 1.316176e-09 2.598160e-09    % Xval(1)
           3.129788e-13 1.199841e-10 5.010869e-11 1.963791e-08 2.130732e-09    % Xval(2)
           4.076808e-13 7.543403e-11 2.379412e-10 1.343703e-10 1.680527e-09    % Xval(3)
           2.608712e-13 5.874053e-11 1.367930e-10 4.234302e-09 1.306619e-09    % Xval(4)
           1.071018e-14 3.935670e-11 1.381332e-10 2.055449e-10 9.977074e-10    % Xval(5)
           1.838807e-16 3.247070e-11 4.412842e-10 1.151890e-10 7.410194e-10    % Xval(6)
           2.045239e-15 1.583542e-11 3.916667e-11 1.371270e-10 5.501929e-10    % Xval(7)
           2.612494e-15 9.482901e-12 8.794254e-11 1.567382e-11 7.727965e-10    % Xval(8)
           1.980621e-15 5.223801e-12 5.648992e-11 2.139215e-11 2.848579e-10    % Xval(9)
          ];





MAIN

****************************************************************************************
                               append_MinGW_dir utility

under Windows:
the directory \mingw64\bin already in the PATH environment variable.

****************************************************************************************

====================================================================================

               >>>   Example 2.2.6, pag.88, Duffy - Talbot Suite   <<<

====================================================================================

NTval=5;  Tmin=0.5;  Tmax=20;  NXval=9;  Xmin=0;  Xmax=1;  tol=1.000000e-08
Apply correction to NOPTS1:
NOPTS1 = 59  (modified Talbot's method)
NOPTS2 = [14  82]  (classical Talbot's method)

    ***   Talbot Suite DE   ***
ABSERR1 = [ %  Tval(1)     Tval(2)      Tval(3)      Tval(4)  ... Tval(5)
           8.902441e-08 1.064482e-12 1.022959e-12 4.396483e-13 7.052137e-12    % Xval(1)
           7.854175e-08 2.161660e-12 1.173275e-10 1.875786e-08 2.079736e-11    % Xval(2)
           6.176601e-08 9.856158e-12 4.089170e-10 7.055139e-10 4.069897e-12    % Xval(3)
           4.151085e-08 3.746951e-13 2.211475e-11 4.591177e-09 2.395723e-12    % Xval(4)
           2.042021e-08 3.472049e-13 1.227463e-12 5.916712e-12 1.841527e-12    % Xval(5)
           9.146836e-10 7.141059e-12 3.239286e-10 7.793766e-14 5.668771e-12    % Xval(6)
           1.501541e-08 5.523360e-15 5.665141e-11 1.907781e-10 7.278622e-13    % Xval(7)
           2.603003e-08 8.461287e-14 1.164466e-11 1.609268e-13 1.172215e-09    % Xval(8)
           3.158027e-08 9.045542e-14 2.977674e-12 1.540858e-11 5.274670e-13    % Xval(9)
          ];

ABSERR2 = [ %  Tval(1)     Tval(2)      Tval(3)      Tval(4)  ... Tval(5)
           1.169759e-13 1.728805e-10 1.366647e-10 1.316176e-09 2.598161e-09    % Xval(1)
           3.129511e-13 1.199826e-10 5.010781e-11 1.963791e-08 2.130732e-09    % Xval(2)
           4.076808e-13 7.543305e-11 2.379399e-10 1.343703e-10 1.680525e-09    % Xval(3)
           2.608712e-13 5.873999e-11 1.367936e-10 4.234302e-09 1.306619e-09    % Xval(4)
           1.069284e-14 3.935638e-11 1.381344e-10 2.055455e-10 9.977078e-10    % Xval(5)
           1.838807e-16 3.247070e-11 4.412845e-10 1.151893e-10 7.410203e-10    % Xval(6)
           2.045239e-15 1.583530e-11 3.916689e-11 1.371270e-10 5.501927e-10    % Xval(7)
           2.612494e-15 9.482658e-12 8.794307e-11 1.567407e-11 7.727961e-10    % Xval(8)
           1.980621e-15 5.223766e-12 5.649017e-11 2.139194e-11 2.848581e-10    % Xval(9)
          ];
