tetrahedron_keast_rule, a FORTRAN90 code which defines ten quadrature rules, of degree of exactness 0 through 8, over the interior of the tetrahedron in 3D.
The ten rules have the following orders and precisions:
Rule | Order | Precision |
---|---|---|
1 | 1 | 1 |
2 | 4 | 2 |
3 | 5 | 3 |
4 | 10 | 3 |
5 | 11 | 4 |
6 | 14 | 4 |
7 | 15 | 5 |
8 | 24 | 6 |
9 | 31 | 7 |
10 | 45 | 8 |
The computer code and data files made available on this web page are distributed under the MIT license
tetrahedron_keast_rule is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version.
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SIMPLEX_GM_RULE, a FORTRAN90 code which defines Grundmann-Moeller quadrature rules over the interior of a simplex in M dimensions.
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TETRAHEDRON_NCO_RULE, a FORTRAN90 code which defines Newton-Cotes open quadrature rules over the interior of a tetrahedron in 3D.
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WEDGE_FELIPPA_RULE, a FORTRAN90 code which returns quadratures rules for approximating integrals over the interior of the unit wedge in 3D.