Invariant cubature, formulae of the ninth degree of accuracy for the hyperoctahedron

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:137

Article

Stoyanova, SB

关键词: cubature formula;    hyperoctahedron;   

DOI  :  10.1016/S0377-0427(00)00704-4

来源: Elsevier

【 摘 要 】

In this paper cubature formulae are obtained for evaluating integrals on the hyperoctahedron, which are exact for any polynomial of degree not exceeding 9, and are invariant with respect to the group of all orthogonal transformations of the hyperoctahedron into itself. (C) 2001 Elsevier Science B.V. All rights reserved.

【 授权许可】

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