Cubature formulae of the seventh degree of accuracy for the hypersphere

[摘要] Cubature formulae for evaluating integrals on the hypersphere in R-n for n greater than or equal to 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.

[发布日期] 1997-10-21

[关键词] cubature formula;hypersphere;regular simplex