power_rule_test

power_rule_test, a MATLAB program which calls power_rule() to create 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 GNU LGPL license.

Related Data and Programs:

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

Source Code:

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

• cc_d1_o3_x.txt, the abscissas of a 1D Clenshaw Curtis rule of order 3.
• cc_d1_o3_w.txt, the weights of a 1D Clenshaw Curtis rule of order 3.
• cc_d1_o3_r.txt, defines the range of the region.

We give the command

power_rule ( 'cc_d1_o3', 2 )

• power_x.txt, the abscissas of a 2D Clenshaw Curtis power rule of order 9.
• power_w.txt, the weights of a 2D Clenshaw Curtis power rule of order 9.
• power_r.txt"> power_r.txt, defines the range of the power region.