Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2013-01-01

Journal: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Included Journals: Scopus、EI、SCIE

Volume: 237

Issue: 1

Page Number: 354-362

ISSN: 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.