SPARSE_GRID_CCE
Clenshaw Curtis Exponential Growth Sparse Grids
SPARSE_GRID_CCE
is a dataset directory which
contains examples of multidimensional sparse grid quadrature rules
based on Clenshaw Curtis Exponential growth rule.
A quadrature rule is a set of n points x and associated
weights w so that the integral of a function f(x) over
some particular region can be approximated by:
Integral f(x) dx = Sum ( 1 <= i <= n ) w(i) * f(x(i))
For this directory, a quadrature rule is stored as three files,
containing the weights, the points, and a file containing two
points defining the corners of the rectangular region.
The dimension of the region is deduced implicitly from the
dimension of the points.
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_CCL,
a dataset directory which
contains M-dimensional Smolyak sparse grids
based on the 1D Clenshaw Curtis Linear (CCL) growth rule;
SPARSE_GRID_CCS,
a dataset library which
contains sparse grids based on Clenshaw-Curtis Slow-exponential (CCS) growth rules.
Sample Files:
CCE grids in 1D:
-
cce_d1_level0_x.txt,
the abscissas for the level 0, order 1 rule.
-
cce_d1_level0_w.txt,
the weightse.
-
cce_d1_level0_r.txt,
the range.
-
cce_d1_level1_x.txt,
the abscissas for the level 1, order 3 rule.
-
cce_d1_level1_w.txt,
the weights.
-
cce_d1_level1_r.txt,
the range.
-
cce_d1_level2_x.txt,
the abscissas for the level 2, order 5 rule.
-
cce_d1_level2_w.txt,
the weights.
-
cce_d1_level2_r.txt,
the range.
-
cce_d1_level3_x.txt,
the abscissas for the level 3, order 9 rule.
-
cce_d1_level3_w.txt,
the weights.
-
cce_d1_level3_r.txt,
the range.
-
cce_d1_level4_x.txt,
the abscissas for the level 4, order 17 rule.
-
cce_d1_level4_w.txt,
the weightse.
-
cce_d1_level4_r.txt,
the range.
-
cce_d1_level5_x.txt,
the abscissas for the level 5, order 33 rule.
-
cce_d1_level5_w.txt,
the weights.
-
cce_d1_level5_r.txt,
the range.
-
cce_d1_level6_x.txt,
the abscissas.
-
cce_d1_level6_w.txt,
the weights.
-
cce_d1_level6_r.txt,
the range.
CCE grids in 2D:
-
cce_d2_level0_x.txt,
the abscissas for the level 0, order 1 sparse rule.
-
cce_d2_level0_w.txt,
the weights.
-
cce_d2_level0_r.txt,
the region.
-
cce_d2_level0.png,
an image of the grid.
-
cce_d2_level1_x.txt,
the abscissas for the level 1, order 5 sparse rule.
-
cce_d2_level1_w.txt,
the weights.
-
cce_d2_level1_r.txt,
the region.
-
cce_d2_level1.png,
-
cce_d2_level2_x.txt,
the abscissas for the level 2, order 13 sparse rule.
-
cce_d2_level2_w.txt,
the weights.
-
cce_d2_level2_r.txt,
the region.
-
cce_d2_level2.png,
an image of the grid.
-
cce_d2_level3_x.txt,
the abscissas for the level 3, order 29 sparse rule.
-
cce_d2_level3_w.txt,
the weights.
-
cce_d2_level3_r.txt,
the region.
-
cce_d2_level3.png,
an image of the grid.
-
cce_d2_level4_x.txt,
the abscissas for the level 4, order 65 sparse rule.
-
cce_d2_level4_w.txt,
the weights.
-
cce_d2_level4_r.txt,
the region.
-
cce_d2_level4.png,
an image of the grid.
-
cce_d2_level5_x.txt,
the abscissas for the level 5, order 145 sparse rule.
-
cce_d2_level5_w.txt,
the weights.
-
cce_d2_level5_r.txt,
the region.
-
cce_d2_level5.png,
an image of the grid.
-
cce_d2_level6_x.txt,
the abscissas for the level 6, order 321 sparse rule.
-
cce_d2_level6_w.txt,
the weights.
-
cce_d2_level6_r.txt,
the region.
-
cce_d2_level6.png,
an image of the grid.
-
cce_d2_level7_x.txt,
the abscissas for the level 7, order 705 sparse rule.
-
cce_d2_level7_w.txt,
the weights.
-
cce_d2_level7_r.txt,
the region.
-
cce_d2_level7.png,
an image of the grid.
-
cce_d2_level8_x.txt,
the abscissas for the level 8, order 1,537 sparse rule.
-
cce_d2_level8_w.txt,
the weights.
-
cce_d2_level8_r.txt,
the region.
-
cce_d2_level9_x.txt,
the abscissas for the level 9, order 3,329 sparse rule.
-
cce_d2_level9_w.txt,
the weights.
-
cce_d2_level9_r.txt,
the region.
-
cce_d2_level10_x.txt,
the abscissas for the level 10, order 7,169 sparse rule.
-
cce_d2_level10_w.txt,
the weights.
-
cce_d2_level10_r.txt,
the region.
CCE grids in 3D:
-
cce_d3_level0_x.txt,
the abscissas for the level 0, order 1 sparse rule.
-
cce_d3_level0_w.txt,
the weights.
-
cce_d3_level0_r.txt,
the region.
-
cce_d3_level0.png,
a snapshot of a view of the 3D region.
-
cce_d3_level1_x.txt,
the abscissas for the level 1, order 7 sparse rule.
-
cce_d3_level1_w.txt,
the weights.
-
cce_d3_level1_r.txt,
the region.
-
cce_d3_level1.png,
a snapshot of a view of the 3D region.
-
cce_d3_level2_x.txt,
the abscissas for the level 2, order 25 sparse rule.
-
cce_d3_level2_w.txt,
the weights.
-
cce_d3_level2_r.txt,
the region.
-
cce_d3_level2.png,
a snapshot of a view of the 3D region.
-
cce_d3_level3_x.txt,
the abscissas for the level 3, order 69 sparse rule.
-
cce_d3_level3_w.txt,
the weights.
-
cce_d3_level3_r.txt,
the region.
-
cce_d3_level3.png,
a snapshot of a view of the 3D region.
-
cce_d3_level4_x.txt,
the abscissas for the level 4, order 177 sparse rule.
-
cce_d3_level4_w.txt,
the weights.
-
cce_d3_level4_r.txt,
the region.
-
cce_d3_level4.png,
a snapshot of a view of the 3D region.
-
cce_d3_level5_x.txt,
the abscissas for the level 5, order 441 sparse rule.
-
cce_d3_level5_w.txt,
the weights.
-
cce_d3_level5_r.txt,
the region.
-
cce_d3_level5.png,
a snapshot of a view of the 3D region.
-
cce_d3_level6_x.txt,
the abscissas for the level 6, order 1,073 sparse rule.
-
cce_d3_level6_w.txt,
the weights.
-
cce_d3_level6_r.txt,
the region.
-
cce_d3_level6.png,
a snapshot of a view of the 3D region.
-
cce_d3_level7_x.txt,
the abscissas for the level 7, order 2,561 sparse rule.
-
cce_d3_level7_w.txt,
the weights.
-
cce_d3_level7_r.txt,
the region.
-
cce_d3_level7.png,
a snapshot of a view of the 3D region.
CCE grids in 4D:
-
cce_d4_level0_x.txt,
the abscissas for the level 0, order 1 sparse rule.
-
cce_d4_level0_w.txt,
the weights.
-
cce_d4_level0_r.txt,
the region.
-
cce_d4_level1_x.txt,
the abscissas for the level 1, order 9 sparse rule.
-
cce_d4_level1_w.txt,
the weights.
-
cce_d4_level1_r.txt,
the region.
-
cce_d4_level2_x.txt,
the abscissas for the level 2, order 41 sparse rule.
-
cce_d4_level2_w.txt,
the weights.
-
cce_d4_level2_r.txt,
the region.
-
cce_d4_level3_x.txt,
the abscissas for the level 3, order 137 sparse rule.
-
cce_d4_level3_w.txt,
the weights.
-
cce_d4_level3_r.txt,
the region.
-
cce_d4_level4_x.txt,
the abscissas for the level 4, order 401 sparse rule.
-
cce_d4_level4_w.txt,
the weights.
-
cce_d4_level4_r.txt,
the region.
-
cce_d4_level5_x.txt,
the abscissas for the level 5, order 1,105 sparse rule.
-
cce_d4_level5_w.txt,
the weights.
-
cce_d4_level5_r.txt,
the region.
-
cce_d4_level6_x.txt,
the abscissas for the level 6, order 2,929 sparse rule.
-
cce_d4_level6_w.txt,
the weights.
-
cce_d4_level6_r.txt,
the region.
CCE grids in 5D:
-
cce_d5_level0_x.txt,
the abscissas for the level 0, order 1 sparse rule.
-
cce_d5_level0_w.txt,
the weights.
-
cce_d5_level0_r.txt,
the region.
-
cce_d5_level1_x.txt,
the abscissas for the level 1, order 11 sparse rule.
-
cce_d5_level1_w.txt,
the weights.
-
cce_d5_level1_r.txt,
the region.
-
cce_d5_level2_x.txt,
the abscissas for the level 2, order 61 sparse rule.
-
cce_d5_level2_w.txt,
the weights.
-
cce_d5_level2_r.txt,
the region.
-
cce_d5_level3_x.txt,
the abscissas for the level 3, order 241 sparse rule.
-
cce_d5_level3_w.txt,
the weights.
-
cce_d5_level3_r.txt,
the region.
-
cce_d5_level4_x.txt,
the abscissas for the level 4, order 801 sparse rule.
-
cce_d5_level4_w.txt,
the weights.
-
cce_d5_level4_r.txt,
the region.
-
cce_d5_level5_x.txt,
the abscissas for the level 5, order 2,433 sparse rule.
-
cce_d5_level5_w.txt,
the weights.
-
cce_d5_level5_r.txt,
the region.
CCE grids in 6D:
-
cce_d6_level0_x.txt,
the abscissas for the level 0, order 1 sparse rule.
-
cce_d6_level0_w.txt,
the weights.
-
cce_d6_level0_r.txt,
the region.
-
cce_d6_level1_x.txt,
the abscissas for the level 1, order 13 sparse rule.
-
cce_d6_level1_w.txt,
the weights.
-
cce_d6_level1_r.txt,
the region.
-
cce_d6_level2_x.txt,
the abscissas for the level 2, order 85 sparse rule.
-
cce_d6_level2_w.txt,
the weights.
-
cce_d6_level2_r.txt,
the region.
-
cce_d6_level3_x.txt,
the abscissas for the level 3, order 389 sparse rule.
-
cce_d6_level3_w.txt,
the weights.
-
cce_d6_level3_r.txt,
the region.
-
cce_d6_level4_x.txt,
the abscissas for the level 4, order 1,457 sparse rule.
-
cce_d6_level4_w.txt,
the weights.
-
cce_d6_level4_r.txt,
the region.
-
cce_d6_level5_x.txt,
the abscissas for the level 5, order 4,865 sparse rule.
-
cce_d6_level5_w.txt,
the weights.
-
cce_d6_level5_r.txt,
the region.
-
cce_d6_level6_x.txt,
the abscissas for the level 6, order 15,121 sparse rule.
-
cce_d6_level6_w.txt,
the weights.
-
cce_d6_level6_r.txt,
the region.
-
cce_d6_level7_x.txt,
the abscissas for the level 7, order 44,689 sparse rule.
-
cce_d6_level7_w.txt,
the weights.
-
cce_d6_level7_r.txt,
the region.
CCE grids in 10D:
-
cce_d10_level0_x.txt,
the abscissas for the level 0, order 1 sparse rule.
-
cce_d10_level0_w.txt,
the weights.
-
cce_d10_level0_r.txt,
the region.
-
cce_d10_level1_x.txt,
the abscissas for the level 1, order 21 sparse rule.
-
cce_d10_level1_w.txt,
the weights.
-
cce_d10_level1_r.txt,
the region.
-
cce_d10_level2_x.txt,
the abscissas for the level 2, order 221 sparse rule.
-
cce_d10_level2_w.txt,
the weights.
-
cce_d10_level2_r.txt,
the region.
-
cce_d10_level3_x.txt,
the abscissas for the level 3, order 1,581 sparse rule.
-
cce_d10_level3_w.txt,
the weights.
-
cce_d10_level3_r.txt,
the region.
-
cce_d10_level4_x.txt,
the abscissas for the level 4, order 8,801 sparse rule.
-
cce_d10_level4_w.txt,
the weights.
-
cce_d10_level4_r.txt,
the region.
-
cce_d10_level5_x.txt,
the abscissas for the level 5, order 41,265 sparse rule.
-
cce_d10_level5_w.txt,
the weights.
-
cce_d10_level5_r.txt,
the region.
-
cce_d10_level6_x.txt,
the abscissas for the level 6, order 171,425 sparse rule.
-
cce_d10_level6_w.txt,
the weights.
-
cce_d10_level6_r.txt,
the region.
CCE grids in 20D:
-
cce_d20_level0_x.txt,
the abscissas for the level 0, order 1 sparse rule.
-
cce_d20_level0_w.txt,
the weights.
-
cce_d20_level0_r.txt,
the region.
-
cce_d20_level1_x.txt,
the abscissas for the level 1, order 41 sparse rule.
-
cce_d20_level1_w.txt,
the weights.
-
cce_d20_level1_r.txt,
the region.
-
cce_d20_level2_x.txt,
the abscissas for the level 2, order 841 sparse rule.
-
cce_d20_level2_w.txt,
the weights.
-
cce_d20_level2_r.txt,
the region.
-
cce_d20_level3_x.txt,
the abscissas for the level 3, order 11,561 sparse rule.
-
cce_d20_level3_w.txt,
the weights.
-
cce_d20_level3_r.txt,
the region.
-
cce_d20_level4_x.txt,
the abscissas for the level 4, order 120,401 sparse rule.
-
cce_d20_level4_w.txt,
the weights.
-
cce_d20_level4_r.txt,
the region.
CCE grids in 100D:
-
cce_d100_level0_x.txt,
the abscissas for the level 0, order 1 sparse rule.
-
cce_d100_level0_w.txt,
the weights.
-
cce_d100_level0_r.txt,
the region.
-
cce_d100_level1_x.txt,
the abscissas for the level 1, order 201 sparse rule.
-
cce_d100_level1_w.txt,
the weights.
-
cce_d100_level1_r.txt,
the region.
-
cce_d100_level2_x.txt,
the abscissas for the level 2, order 20,201 sparse rule.
-
cce_d100_level2_w.txt,
the weights.
-
cce_d100_level2_r.txt,
the region.
You can go up one level to
the DATASETS page.
Last revised on 24 April 2014.