点击次数：

论文类型：期刊论文

发表时间：2013-01-01

发表刊物：JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

收录刊物：SCIE、EI、Scopus

卷号：237

期号：1

页面范围：354-362

ISSN号：0377-0427

关键字：Fifth degree formula; Cubature formula; Product region; Spherically symmetric region; Numerical integration

摘要：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.