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

               >>>   Example 1b - Talbot Suite DE   <<<

         Application of Talbot's method to solve the PDE equation

			u_t (x,t) = u_x (x,t),         x > X0,  t>0

	with conditions:
			u(x,0+) = x*sin(3*x)/6
			u(X0,t) = (X0+t)*sin(3*(X0+t))/6


	The analytical solution is

		u(x,t) = (x+t)*sin(3*(x+t))/6

	and its Laplace Transform is

		         (s*x+1)*sin(3*x)+3*x*cos(3*x)   s*cos(3*x)-3*sin(3*x)
		U(x,s) = ----------------------------- + ---------------------
		                   6*(s^2+9)                   (s^2+9)^2

	with double poles at +/-3i

	     and abscissa of convergence: sigma0 = 0

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

	   Ex. 1b: output from ./2PAR/LTS1_fun/OMP_main_TIMES.c

	LT samples by means of a function

	      t in [100, 500],    x in [10, 20],    tol=1.000000e-012
====================================================================================

This is Windows: 64 bit C library
	CLOCK FREQUENCY by QueryPerformanceFrequency(): 3.12697 GHz
[OpenMP 4.0] omp_get_num_procs() = 12,   omp_get_max_threads() = 12,   omp_get_num_threads() = 1

	***   RESULTS OF OpenMP TALBOT SUITE DE function:   OMP_Talbot11_DE()   ***
	      20 t in [100, 500],    10 x in [10, 20],    input tolerance: tol = 1.00e-012
	      NOPTS = 1192
	      user defined function to compute the LT samples:  OMP_LTsamples_fun()
	      Modified Talbot's method [coarse-grain parallelism]
	MEAN ELAPSED TIME:

		3.517166e-002	% number of threads =  1
		1.779044e-002	% number of threads =  2
		1.274952e-002	% number of threads =  3
		9.510798e-003	% number of threads =  4
		8.015998e-003	% number of threads =  5
		8.524093e-003	% number of threads =  6
		6.802683e-003	% number of threads =  7
		9.084443e-003	% number of threads =  8
		8.206405e-003	% number of threads =  9
		7.391688e-003	% number of threads = 10
		7.085449e-003	% number of threads = 11
		7.090821e-003	% number of threads = 12


