jacobi_exactness_test

jacobi_exactness_test, a MATLAB code which calls jacobi_exactness(), which investigates the polynomial exactness of a Gauss-Jacobi 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 MIT license

Related Data and Programs:

jacobi_exactness, a MATLAB code which tests the monomial exactness of quadrature rules for integrals that include a Jacobi weight.

Source Code:

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

JAC_O2_A0.5_B1.5 is a Gauss-Jacobi order 2 rule with ALPHA = 0.5, BETA = 1.5.

• jac_o2_a0.5_b1.5_x.txt, the abscissas of the rule.
• jac_o2_a0.5_b1.5_w.txt, the weights of the rule.
• jac_o2_a0.5_b1.5_r.txt, defines the region for the rule.