Product Rules formed from 1D Tanh-Sinh Rules

**PRODUCT_RULE_TANH_SINH**
is a dataset directory which
contains examples of multidimensional quadrature rules formed
as a product rule from 1D tanh-sinh rules.

For this directory, a quadrature rule is stored as three files, containing the weights, the points, and a file containing two points defining the endpoints of the region.

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

INT_EXACTNESS_LEGENDRE, a FORTRAN90 program which can read a set of files defining a Gauss-Legendre quadrature rule, and test it for exactness against monomial integrands.

TANH_SINH_RULE, a FORTRAN90 program which generates a tanh-sinh rule of the desired order.

PRODUCT_RULE, a FORTRAN90 program which creates a multidimensional product rule whose factors are 1D quadrature rules.

Tanh-sinh product rule, dimension 2, 1x1 rule, 1 point:

- ts_d2_1x1_x.txt, the abscissas.
- ts_d2_1x1_w.txt, the weights.
- ts_d2_1x1_r.txt, the range of the integration region.

Tanh-sinh product rule, dimension 2, 3x3 rule, 9 points:

- ts_d2_3x3_x.txt, the abscissas.
- ts_d2_3x3_w.txt, the weights.
- ts_d2_3x3_r.txt, the range of the integration region.

Tanh-sinh product rule, dimension 2, 7x7, 49 points:

- ts_d2_7x7_x.txt, the abscissas.
- ts_d2_7x7_w.txt, the weights.
- ts_d2_7x7_r.txt, the range of the integration region.

Tanh-sinh product rule, dimension 2, 15x15, 225 points:

- ts_d2_15x15_x.txt, the abscissas.
- ts_d2_15x15_w.txt, the weights.
- ts_d2_15x15_r.txt, the range of the integration region.

Tanh-sinh product rule, dimension 2, 31x31, 961 points:

- ts_d2_31x31_x.txt, the abscissas.
- ts_d2_31x31_w.txt, the weights.
- ts_d2_31x31_r.txt, the range of the integration region.

Tanh-sinh product rule, dimension 2, 63x63, 3969 points:

- ts_d2_63x63_x.txt, the abscissas.
- ts_d2_63x63_w.txt, the weights.
- ts_d2_63x63_r.txt, the range of the integration region.

Tanh-sinh product rule, dimension 2, 127x127, 16129 points:

- ts_d2_127x127_x.txt, the abscissas.
- ts_d2_127x127_w.txt, the weights.
- ts_d2_127x127_r.txt, the range of the integration region.

You can go up one level to the DATASETS page.