PRODUCT_RULE_GL
Product Rules formed from 1D Gauss-Legendre Rules


PRODUCT_RULE_GL is a dataset directory which contains some examples of multidimensional quadrature rules formed as a product rule from 1D Gauss-Legendre 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.

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:

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.

LEGENDRE_RULE, a FORTRAN90 program which generates a Gauss-Legendre rule of the desired order.

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

Sample Files:

Gauss-Legendre product rule, dimension 2, 1x1 rule, 1 point:

Gauss-Legendre product rule, dimension 2, 2x2 rule, 4 points:

Gauss-Legendre product rule, dimension 2, 4x4, 16 points:

Gauss-Legendre product rule, dimension 2, 8x8, 64 points:

Gauss-Legendre product rule, dimension 2, 16x16, 256 points:

Gauss-Legendre product rule, dimension 2, 32x32, 1024 points:

Gauss-Legendre product rule, dimension 6, sixth power of order 1 rule, 1 point:

Gauss-Legendre product rule, dimension 6, sixth power of order 2 rule, 64 points:

Gauss-Legendre product rule, dimension 6, sixth power of order 3 rule, 729 points:

Gauss-Legendre product rule, dimension 6, sixth power of order 4 rule, 4096 points:

Gauss-Legendre product rule, dimension 6, sixth power of order 5 rule, 15,625 points:

You can go up one level to the DATASETS page.


Last revised on 29 January 2009.