The construction of three-dimensional invariant cubature formulae (Q1176795)
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scientific article; zbMATH DE number 12517
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The construction of three-dimensional invariant cubature formulae |
scientific article; zbMATH DE number 12517 |
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The construction of three-dimensional invariant cubature formulae (English)
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25 June 1992
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A method of constructing three-dimensional cubature formulae of high degree for three-dimensional regions is presented. All formulae desired have full polyhedral symmetry. The construction leads to a system of nonlinear equations. The paper expands earlier results of the same authors [The construction of three-dimensional invariant cubature formulae. Report TW 85, Dept. Comput. Sci.; Kath. Univ. Leuven (1986) and The construction of cubature formulae for the tetrahedron. Report TW 128, ibid. (1990)].
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invariant polynomials
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three-dimensional cubature formulae
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polyhedral symmetry
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