Fully symmetric interpolatory rules for multiple integrals over hyper-spherical surfaces

被引：50

作者：

Genz, A ^{[1
]}

机构：

[1] Washington State Univ, Dept Math, Pullman, WA 99164 USA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2003年 / 157卷 / 01期

关键词：

multiple integrals; sphere; surface integral;

D O I：

10.1016/S0377-0427(03)00413-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Fully symmetric interpolatory integration rules are constructed for multidimensional integrals over U-n, the surface of an n-dimensional hyper-sphere. Explicit formulas for the weights are given for odd degrees 3-13. The new rules are efficient and only moderately unstable. Two randomization methods are described. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：187 / 195

页数：9

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