gegenbauer_exactness_test

gegenbauer_exactness_test, a MATLAB program which calls gegenbauer_exactness() to investigate the polynomial exactness of a Gauss-Gegenbauer quadrature rule for the interval [-1,1] with a weight function.

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:

gegenbauer_exactness, a MATLAB program which tests the monomial exactness of Gauss-gegenbauer quadrature rules.

Source Code:

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

GEGEN_O8_A0.5 is a Gauss-Gegenbauer order 8 rule with ALPHA = 0.5.

• gegen_o8_a0.5_x.txt, the abscissas of the rule.
• gegen_o8_a0.5_w.txt, the weights of the rule.
• gegen_o8_a0.5_r.txt, defines the region for the rule.