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Indexed by:期刊论文

Date of Publication:2013-01-01

Journal:JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Included Journals:SCIE、EI、Scopus

Volume:237

Issue:1

Page Number:354-362

ISSN No.:0377-0427

Key Words:Fifth degree formula; Cubature formula; Product region; Spherically symmetric region; Numerical integration

Abstract:This paper is devoted to construct a family of fifth degree cubature formulae for n-cube with symmetric measure and n-dimensional spherically symmetrical region. The formula for n-cube contains at most n(2) + 5n + 3 points and for n-dimensional spherically symmetrical region contains only n(2) + 3n + 3 points. Moreover, the numbers can be reduced to n(2) + 3n + 1 and n(2) + n + 1 if n = 7 respectively, the latter of which is minimal. (C) 2012 Elsevier B.V. All rights reserved.