tetrahedron_ncc_rule_test

tetrahedron_ncc_rule_test, a MATLAB code which calls tetrahedron_ncc_rule(), which defines the weights and abscisass for a sequence of 7 Newton-Cotes closed quadrature rules over the interior of a tetrahedron in 3D.

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:

tetrahedron_ncc_rule, a MATLAB code which defines Newton-Cotes Closed (NCC) quadrature rules over the interior of a tetrahedron in 3D.

Source Code:

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

• tetrahedron_ncc_test01.m, tests TETRAHEDRON_NCC_RULE_NUM, TETRAHEDRON_NCC_DEGREE, and TETRAHEDRON_NCC_ORDER_NUM.
• tetrahedron_ncc_test02.m, tests TETRAHEDRON_NCC_RULE by summing the weights.
• tetrahedron_ncc_test03.m, tests TETRAHEDRON_NCC_RULE by summing the barycentric coordinates.
• tetrahedron_ncc_test04.m, tests TETRAHEDRON_NCC_ORDER by integrating monomials in the unit tetrahedron.
• tetrahedron_ncc_test05.m, tests REFERENCE_TO_PHYSICAL_T4 by transforming an NCC rule from the unit tetrahedron to another tetrahedron.
• tetrahedron_ncc_test06.m, tests TETRAHEDRON_NCC_RULE by printing out one rule.