clenshaw_curtis_grid_test

clenshaw_curtis_grid_test, a FORTRAN90 code which calls clenshaw_curtis_grid(), which sets up a Clenshaw Curtis quadrature rule in one or multiple dimensions.

Licensing:

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

Related Data and Programs:

clenshaw_curtis_grid, a FORTRAN90 code which sets up a Clenshaw Curtis quadrature rule in multiple dimensions;

Source Code:

• clenshaw_curtis_grid_test.f90, calls all the tests.
• clenshaw_curtis_grid_test.sh, runs all the tests.
• clenshaw_curtis_grid_test.txt, the output file.

CC_1D is an image of the abscissas of a nested sequence of Clenshaw Curtis rules.

• cc_1d.png, a PNG image of the abscissas of the order 1, 3, 5, 9, 17, 33 and 65 order rules, created by NESTED_SEQUENCE_DISPLAY.

CC_D1_O9 is a Clenshaw Curtis rule for 1D, using an order 9 rule.

• cc_d1_o9_r.txt, range for dimension 1, and order 9.
• cc_d1_o9_w.txt, weights for dimension 1, and order 9.
• cc_d1_o9_x.txt, abscissas for dimension 1, and order 9.

CC_D4_O3X3X3X3 is a Clenshaw Curtis rule for 4D, using a product of order 3 rules.

• cc_d4_o3x3x3x3_r.txt, range for dimension 4, and (total) order 81.
• cc_d4_o3x3x3x3_w.txt, weights for dimension 4, and (total) order 81.
• cc_d4_o3x3x3x3_x.txt, abscissas for dimension 4, and (total) order 81.