Example folder is: ".."
Talbot Suite folder is: "../../TalbotSuiteDE"

    *** Compile sources ***

C:\Users\mariarosaria\Desktop\2017_05_02_TOMS_accepted\1_Src\ex0a_ODE\1SEQ>gcc -c -std=gnu99 -Wall -pedantic -Wno-unused-variable ./SEQ_main.c ./SEQ_LTsamples_fun.c ../LTfun.c ../ILTfun.c ../LTsings.c ../../TalbotSuiteDE/COM/COM_Talbot_pack.c ../../TalbotSuiteDE/COM_DE/COM_Talbot_pack_DE.c ../../TalbotSuiteDE/FUN/SEQ_Talbot_pack.c ../../TalbotSuiteDE/FUN_DE/SEQ_Talbot_pack_DE.c 



    *** Build executable ***


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

       >>>   Example 0a - OMP-based parallel Talbot Suite DE   <<<

         Application of Talbot's method to solve the ODE equation

			f'''' + 18*f'' + 81*f = 0,         t>0

	with conditions:

			f(0) = f'(0) = f'''(0) = 0
			f''(0) = 1

	The analytical solution is

		f(t) = t*sin(3*t)/6

	and its Laplace Transform is

		            s
		F(s) = -----------
		       (s^2 + 9)^2

	with double poles at +/-3i

	     and abscissa of convergence: sigma0 = 0

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

	   Ex. 0a: output from ./1SEQ/LTS1_fun/SEQ_main.c

	20 t in [1000, 3000],    tol=1.000000e-012
====================================================================================

This is Windows: 64 bit C library
	CLOCK FREQUENCY by QueryPerformanceFrequency(): 3.12697 GHz

*******   Inverting the LT fun F(s) to approximate f(t) at NTval = 20 values of t in [1000.00, 3000.00]   *******


	***   RESULTS OF SEQUENTIAL TALBOT SUITE function:      SEQ_Talbot1()   ***
	      user defined function to compute the LT samples:  LTfun()
	      input tolerance: tol = 1.00e-012		mean elapsed time = 6.281309e-001
	      NOPTS = 181999

       T       F EXACT          F APPROX        ABS ERR         REL ERR      TYPE    IFAIL_tot = 0 (no local error)
    1000.00   +3.653166e+001   +3.653166e+001   4.197886e-011   1.149109e-012    R
    1105.26   -1.818113e+002   -1.818113e+002   1.898570e-011   1.044253e-013    R
    1210.53   -2.057543e+001   -2.057543e+001   8.427392e-011   4.095852e-012    R
    1315.79   +2.190979e+002   +2.190979e+002   6.963319e-012   3.178177e-014    R
    1421.05   -3.946510e+000   -3.946510e+000   2.447864e-011   6.202604e-012    R
    1526.32   -2.536502e+002   -2.536502e+002   2.165734e-011   8.538272e-014    R
    1631.58   +3.673056e+001   +3.673056e+001   5.437784e-011   1.480452e-012    R
    1736.84   +2.839931e+002   +2.839931e+002   3.626610e-011   1.277006e-013    R
    1842.11   -7.723929e+001   -7.723929e+001   3.689138e-011   4.776245e-013    R
    1947.37   -3.087199e+002   -3.087199e+002   4.814638e-011   1.559549e-013    R
    2052.63   +1.247101e+002   +1.247101e+002   5.918821e-011   4.746063e-013    R
    2157.89   +3.265257e+002   +3.265257e+002   3.200284e-011   9.801019e-014    R
    2263.16   -1.781687e+002   -1.781687e+002   3.185221e-010   1.787756e-012    R
    2368.42   -3.362395e+002   -3.362395e+002   1.182343e-010   3.516372e-013    R
    2473.68   +2.364470e+002   +2.364470e+002   4.319531e-010   1.826850e-012    R
    2578.95   +3.368535e+002   +3.368535e+002   3.668106e-010   1.088932e-012    R
    2684.21   -2.982056e+002   -2.982056e+002   5.168204e-010   1.733101e-012    R
    2789.47   -3.275499e+002   -3.275499e+002   9.535484e-010   2.911155e-012    R
    2894.74   +3.619601e+002   +3.619601e+002   9.466703e-010   2.615400e-012    R
    3000.00   +3.077233e+002   +3.077233e+002   2.726665e-009   8.860768e-012    R



	***   RESULTS OF SEQUENTIAL TALBOT SUITE function:      SEQ_Talbot2()   ***
	      user defined function to compute the LT samples:  LTfun()
	      input tolerance: tol = 1.00e-012		mean elapsed time = 8.006367e-001

       T       F EXACT          F APPROX        ABS ERR         REL ERR      TYPE    IFAIL_tot = 0 (no local error)
    1000.00   +3.653166e+001   +3.653166e+001   5.428547e-012   1.485984e-013    R
    1105.26   -1.818113e+002   -1.818113e+002   1.944045e-011   1.069265e-013    R
    1210.53   -2.057543e+001   -2.057543e+001   7.186429e-011   3.492724e-012    R
    1315.79   +2.190979e+002   +2.190979e+002   4.519052e-012   2.062572e-014    R
    1421.05   -3.946510e+000   -3.946510e+000   1.067546e-011   2.705038e-012    R
    1526.32   -2.536502e+002   -2.536502e+002   4.413891e-011   1.740149e-013    R
    1631.58   +3.673056e+001   +3.673056e+001   1.270948e-010   3.460192e-012    R
    1736.84   +2.839931e+002   +2.839931e+002   5.798029e-011   2.041609e-013    R
    1842.11   -7.723929e+001   -7.723929e+001   2.916209e-010   3.775552e-012    R
    1947.37   -3.087199e+002   -3.087199e+002   1.249418e-010   4.047094e-013    R
    2052.63   +1.247101e+002   +1.247101e+002   7.560175e-012   6.062199e-014    R
    2157.89   +3.265257e+002   +3.265257e+002   1.410285e-010   4.319064e-013    R
    2263.16   -1.781687e+002   -1.781687e+002   1.440412e-010   8.084542e-013    R
    2368.42   -3.362395e+002   -3.362395e+002   2.478373e-010   7.370857e-013    R
    2473.68   +2.364470e+002   +2.364470e+002   2.450236e-010   1.036273e-012    R
    2578.95   +3.368535e+002   +3.368535e+002   9.697487e-011   2.878844e-013    R
    2684.21   -2.982056e+002   -2.982056e+002   1.007265e-010   3.377754e-013    R
    2789.47   -3.275499e+002   -3.275499e+002   9.436008e-012   2.880785e-014    R
    2894.74   +3.619601e+002   +3.619601e+002   1.244871e-010   3.439249e-013    R
    3000.00   +3.077233e+002   +3.077233e+002   7.224799e-011   2.347823e-013    R



	***   RESULTS OF SEQUENTIAL TALBOT SUITE DE function:   SEQ_Talbot1_DE()   ***
	      user defined function to compute the LT samples:  SEQ_LTsamples_fun()
	      input tolerance: tol = 1.00e-012		mean elapsed time = 5.004887e-001
	      NOPTS = 182814

       T       F EXACT          F APPROX        ABS ERR         REL ERR      TYPE    IFAIL_tot = 0 (no local error)
    1000.00   +3.653166e+001   +3.653166e+001   4.281731e-011   1.172060e-012    R
    1105.26   -1.818113e+002   -1.818113e+002   1.526246e-011   8.394670e-014    R
    1210.53   -2.057543e+001   -2.057543e+001   8.089174e-011   3.931472e-012    R
    1315.79   +2.190979e+002   +2.190979e+002   9.890755e-012   4.514308e-014    R
    1421.05   -3.946510e+000   -3.946510e+000   2.485212e-011   6.297239e-012    R
    1526.32   -2.536502e+002   -2.536502e+002   1.736566e-011   6.846305e-014    R
    1631.58   +3.673056e+001   +3.673056e+001   5.418599e-011   1.475229e-012    R
    1736.84   +2.839931e+002   +2.839931e+002   3.979039e-011   1.401104e-013    R
    1842.11   -7.723929e+001   -7.723929e+001   3.861089e-011   4.998867e-013    R
    1947.37   -3.087199e+002   -3.087199e+002   4.541789e-011   1.471168e-013    R
    2052.63   +1.247101e+002   +1.247101e+002   5.918821e-011   4.746063e-013    R
    2157.89   +3.265257e+002   +3.265257e+002   2.847855e-011   8.721688e-014    R
    2263.16   -1.781687e+002   -1.781687e+002   3.223306e-010   1.809132e-012    R
    2368.42   -3.362395e+002   -3.362395e+002   1.051035e-010   3.125852e-013    R
    2473.68   +2.364470e+002   +2.364470e+002   4.327774e-010   1.830336e-012    R
    2578.95   +3.368535e+002   +3.368535e+002   3.626042e-010   1.076445e-012    R
    2684.21   -2.982056e+002   -2.982056e+002   5.154561e-010   1.728526e-012    R
    2789.47   -3.275499e+002   -3.275499e+002   9.430323e-010   2.879049e-012    R
    2894.74   +3.619601e+002   +3.619601e+002   9.505357e-010   2.626079e-012    R
    3000.00   +3.077233e+002   +3.077233e+002   2.709726e-009   8.805721e-012    R



	***   RESULTS OF SEQUENTIAL TALBOT SUITE DE function:   SEQ_Talbot2_DE()   ***
	      user defined function to compute the LT samples:  SEQ_LTsamples_fun()
	      input tolerance: tol = 1.00e-012		mean elapsed time = 1.019791e+000

       T       F EXACT          F APPROX        ABS ERR         REL ERR      TYPE    IFAIL_tot = 0 (no local error)
    1000.00   +3.653166e+001   +3.653166e+001   5.556444e-012   1.520994e-013    R
    1105.26   -1.818113e+002   -1.818113e+002   1.847411e-011   1.016115e-013    R
    1210.53   -2.057543e+001   -2.057543e+001   7.217693e-011   3.507918e-012    R
    1315.79   +2.190979e+002   +2.190979e+002   4.519052e-012   2.062572e-014    R
    1421.05   -3.946510e+000   -3.946510e+000   1.154454e-011   2.925253e-012    R
    1526.32   -2.536502e+002   -2.536502e+002   4.436629e-011   1.749113e-013    R
    1631.58   +3.673056e+001   +3.673056e+001   1.279119e-010   3.482438e-012    R
    1736.84   +2.839931e+002   +2.839931e+002   5.593392e-011   1.969552e-013    R
    1842.11   -7.723929e+001   -7.723929e+001   2.924310e-010   3.786039e-012    R
    1947.37   -3.087199e+002   -3.087199e+002   1.238618e-010   4.012110e-013    R
    2052.63   +1.247101e+002   +1.247101e+002   8.455459e-012   6.780091e-014    R
    2157.89   +3.265257e+002   +3.265257e+002   1.436433e-010   4.399143e-013    R
    2263.16   -1.781687e+002   -1.781687e+002   1.495550e-010   8.394014e-013    R
    2368.42   -3.362395e+002   -3.362395e+002   2.406750e-010   7.157846e-013    R
    2473.68   +2.364470e+002   +2.364470e+002   2.538627e-010   1.073656e-012    R
    2578.95   +3.368535e+002   +3.368535e+002   1.053309e-010   3.126904e-013    R
    2684.21   -2.982056e+002   -2.982056e+002   1.015223e-010   3.404441e-013    R
    2789.47   -3.275499e+002   -3.275499e+002   1.352873e-011   4.130282e-014    R
    2894.74   +3.619601e+002   +3.619601e+002   1.328431e-010   3.670103e-013    R
    3000.00   +3.077233e+002   +3.077233e+002   6.951950e-011   2.259156e-013    R

