11 October 2007 09:24:43 AM SPARSE_GRID_LAGUERRE_DATASET C++ version Compiled on Oct 11 2007 at 09:19:42. Compute the abscissas and weights of a quadrature rule associated with a sparse grid derived from a Smolyak construction based on a 1D Gauss-Laguerre rule. Inputs to the program include: DIM_NUM, the spatial dimension. (typically in the range of 2 to 10) LEVEL_MAX, the level of the sparse grid. (typically in the range of 0, 1, 2, 3, ... Output from the program includes: * A printed table of the abscissas and weights. * A set of 3 files that define the quadrature rule. (1) lag_d?_level?_r.txt, the ranges; (2) lag_d?_level?_w.txt, the weights; (3) lag_d?_level?_x.txt, the abscissas. Spatial dimension requested is = 2 LEVEL_MIN is = 2 LEVEL_MAX is = 3 The number of distinct abscissas in the quadrature rule is determined from the spatial dimension DIM_NUM and the level LEVEL_MAX. For the given input, this value will be = 95 First 10 grid points: Row: 1 2 Col 1 0.193044 1 2 1.02666 1 3 2.56788 1 4 4.90035 1 5 8.18215 1 6 12.7342 1 7 19.3957 1 8 0.415775 0.415775 9 2.29428 0.415775 10 6.28995 0.415775 First 10 grid weights: 1 -0.409319 2 -0.421831 3 -0.147126 4 -0.0206335 5 -0.00107401 6 -1.58655e-05 7 -3.17032e-08 8 -0.505653 9 -0.198052 10 -0.00738773 Weights sum to 1 Correct value is 1 Creating R file = "lag_d2_level3_r.txt". Creating R file = "lag_d2_level3_w.txt". Creating R file = "lag_d2_level3_x.txt". SPARSE_GRID_LAGUERRE_DATASET Normal end of execution. 11 October 2007 09:24:43 AM