power_rule_rest

power_rule_rest, a FORTRAN90 code which calls power_rule(), which creates a power rule, that is, a multidimensional quadrature rule formed as a repeated product of a single one-dimensional quadrature rule.

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:

power_rule, a FORTRAN90 code which constructs a power rule, that is, a product quadrature rule from identical 1D factor rules.

Source Code:

• power_rule_test.sh, runs all the tests.
• power_rule_test.txt, the output file.

As an example, we start with a 1D Clenshaw Curtis rule of order 3:

• cc3_x.txt, the abscissas of a 1D Clenshaw Curtis rule of order 3.
• cc3_w.txt, the weights of a 1D Clenshaw Curtis rule of order 3.
• cc3_r.txt, defines the range of the region.

The files which are created include:

• power_rule.txt, the output file.
• power_x.txt, the abscissas of the power rule.
• power_w.txt, the weights of the power rule.
• power_r.txt, defines the range of the power region.