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发布时间：2019-03-10

论文类型：期刊论文

发表时间：2007-05-15

发表刊物：JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

收录刊物：Scopus、EI、SCIE

卷号：202

期号：2

页面范围：511-522

ISSN号：0377-0427

关键字：orthogonal polynomials; n-sphere; Cubature formula

摘要：We examine the method of Cartesian product to construct cubature formulae on the unit sphere and obtain a kind of new Lobatto formulae. Furthermore. by constraining nodes to lie on orthogonal polynomials, an alternative method of producing new cubature formulae on the spherically symmetrical region is also presented. Finally, some new cubature formulae are derived. (c) 2006 Elsevier B.V. All rights reserved.