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Cubature formulae of the seventh degree of accuracy for the hypersphere

✍ Scribed by Srebra B. Stoyanova

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 297 KB
Volume: 84
Category: Article
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(97)00094-0

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✦ Synopsis

Cubature formulae for evaluating integrals on the hypersphere in R n for n >~5 are obtained, which are exact for any polynomial of degree not exceeding 7, and are invariant with respect to the group of transformations of the regular simplex.

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