cc_project_test

cc_project_test, is a MATLAB program which calls cc_project() to investigate the extension of a Clenshaw-Curtis-like quadrature scheme to semi-infinite and infinite intervals, and to integrands with a specified density function.

Licensing:

The computer code and data files made available on this web page are distributed under the GNU LGPL license.

Related Data and Programs:

cc_project, a MATLAB library which investigates generalized Clenshaw-Curtis quadrature rules for semi-infinite and infinite intervals, by John Boyd.

Source Code:

• cc_project_test.m, calls all the tests;
• cc_project_test.sh, runs all the tests;
• cc_project_test.txt, the output file.
• cardinal_cos_test.m, plots a cardinal cosine interpolant basis function.
• cardinal_cos.png, a plot of a cardinal cosine interpolant basis function.
• cardinal_sin_test.m, plots a cardinal sine interpolant basis function.
• cardinal_sin.png, a plot of a cardinal sine interpolant basis function.
• cardinal_test.m, checks the Lagrange property for the cardinal cosine and sine families.
• ccff_asymptotic_test.m, tests ccff_asymptotic() for a specific integrand.
• ccff_exactness_test.m
• ccff_tabulate_test.m, tabulates CCFF quadrature rules for the Legendre integral.
• ccfi_0_asymptotic_test.m,
• ccfi_0_exactness_test.m
• ccfi_0_tabulate_test.m, tabulates CCFI_0 quadrature rules for the Laguerre integral with density exp(-x).
• ccfi_1_asymptotic_test.m,
• ccfi_1_exactness_test.m
• ccfi_1_tabulate_test.m, tabulates CCFI_1 quadrature rules for the Laguerre integral with density 1.
• ccii_0_tabulate_test.m, tabulates CCII_0 quadrature rules for the Hermite integral with density exp(-x^2).
• ccii_1_tabulate_test.m, tabulates CCII_1 quadrature rules for the Hermite integral with density 1.
• ccii_asymptotic_test.m,
• compare_ff_test.m, prints out the order 5 version of Boyd's Clenshaw-Curtis type rule for the Legendre integral, comparing it with several other rules.
• laguerre_exactness.m, tests a quadrature rule for exactness on the Laguerre integral.
• legendre_exactness.m, tests a quadrature rule for exactness on the Legendre integral.