Release Time:2019-03-10  Hits:

Indexed by: Journal Article

Date of Publication: 2007-05-15

Journal: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Included Journals: Scopus、EI、SCIE

Volume: 202

Issue: 2

Page Number: 511-522

ISSN: 0377-0427

Key Words: orthogonal polynomials; n-sphere; Cubature formula

Abstract: 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.