SPARSE_GRID_GLL
Gauss-Legendre Linear Growth Sparse Grids

SPARSE_GRID_GLL is a dataset directory which contains files definining sparse grids based on the 1D Gauss-Legendre rule with linear growth.

Each sparse grid is stored using the "quadrature rule" format, that is, as three files:

• an "R" or "region" file, which lists two points that bound the region;
• a "W" or "weight" file, which lists the weight for each abscissa;
• an "X" or "abscissa" file, which lists the abscissas of the rule.

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Related Data and Programs:

SPARSE_GRID_GLE, a dataset directory which contains Gauss-Legendre Exponential growth sparse grids.

SPARSE_GRID_GLO, a dataset directory which contains Gauss-Legendre Linear (Odd) growth sparse grids.

Sample Files:

GLL sparse grids in 6D.

• gll_d6_level0_x.txt, X file for dimension 6, level 0 Gauss-Legendre rule, 1 point.
• gll_d6_level0_w.txt, W file.
• gll_d6_level0_r.txt, R file.
• gll_d6_level1_x.txt, X file for dimension 6, level 1 Gauss-Legendre rule, 13 points.
• gll_d6_level1_w.txt, W file.
• gll_d6_level1_r.txt, R file.
• gll_d6_level2_x.txt, X file for dimension 6, level 2 Gauss-Legendre rule, 85 points.
• gll_d6_level2_w.txt, W file.
• gll_d6_level2_r.txt, R file.
• gll_d6_level3_x.txt, X file for dimension 6, level 3 Gauss-Legendre rule, 389 points.
• gll_d6_level3_w.txt, W file.
• gll_d6_level3_r.txt, R file.
• gll_d6_level4_x.txt, X file for dimension 6, level 4 Gauss-Legendre rule, 1433 points.
• gll_d6_level4_w.txt, W file.
• gll_d6_level4_r.txt, R file.
• gll_d6_level5_x.txt, X file for dimension 6, level 5 Gauss-Legendre rule, 4541 points.
• gll_d6_level5_w.txt, W file.
• gll_d6_level5_r.txt, R file.
• gll_d6_level6_x.txt, X file for dimension 6, level 6 Gauss-Legendre rule, 12841 points.
• gll_d6_level6_w.txt, W file.
• gll_d6_level6_r.txt, R file.
• gll_d6_level7_x.txt, X file for dimension 6, level 7 Gauss-Legendre rule, 33193 points.
• gll_d6_level7_w.txt, W file.
• gll_d6_level7_r.txt, R file.

You can go up one level to the DATASETS page.