gen_hermite_exactness_test

gen_hermite_exactness_test, a MATLAB code which calls gen_hermite_exactness(), which investigates the polynomial exactness of a generalized Gauss-Hermite quadrature rule for the infinite interval (-oo,+oo).

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:

gen_hermite_exactness, a MATLAB code which tests the monomial exactness of generalized Gauss-Hermite quadrature rules.

Source Code:

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

GEN_HERM_O8_A1.0 is a standard generalized Gauss-Hermite order 8 rule with ALPHA = 1.0.

• gen_herm_o8_a1.0_x.txt, the abscissas of the rule.
• gen_herm_o8_a1.0_w.txt, the weights of the rule.
• gen_herm_o8_a1.0_r.txt, defines the region for the rule.
• gen_herm_o8_a1.0_exact.txt, the results of the command

  gen_hermite_exactness ( 'gen_herm_o8_a1.0', 18, 1.0, 0 )

GEN_HERM_O8_A1.0_MODIFIED is a modified generalized Gauss-Hermite order 8 rule with ALPHA = 1.0.

• gen_herm_o8_a1.0_modified_x.txt, the abscissas of the rule.
• gen_herm_o8_a1.0_modified_w.txt, the weights of the rule.
• gen_herm_o8_a1.0_modified_r.txt, defines the region for the rule.
• gen_herm_o8_a1.0_modified_exact.txt, the results of the command

  gen_hermite_exactness ( 'gen_herm_o8_a1.0_modified', 18, 1.0, 1 )