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

       >>>   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 ./2PAR/OMP_main.c
	OMP_LTsamples_fun

	120 t in [100, 500],    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 = 120 values of t in [100.00, 500.00]   *******
          user defined function to compute the LT samples:  OMP_LTsamples_fun(),   input tolerance: tol = 1.00e-012


	[OpenMP 4.0] omp_get_num_procs() = 12,   omp_get_max_threads() = 12,   omp_get_num_threads() = 1

	***   RESULTS OF TALBOT SUITE DE function:   OMP_Talbot11_DE()   ***
	      NOPTS = 1192
	MEAN ELAPSED TIME:
	1.951006e-002	% number of threads =  1
	1.012711e-002	% number of threads =  2
	7.362778e-003	% number of threads =  3
	6.165965e-003	% number of threads =  4
	4.779192e-003	% number of threads =  5
	3.649921e-003	% number of threads =  6
	3.830351e-003	% number of threads =  7
	5.229724e-003	% number of threads =  8
	4.695853e-003	% number of threads =  9
	4.202916e-003	% number of threads = 10
	3.886443e-003	% number of threads = 11
	3.631564e-003	% number of threads = 12

