Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2014-05-01

Journal: NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS

Included Journals: Scopus、SCIE

Volume: 7

Issue: 2

Page Number: 179-192

ISSN: 1004-8979

Key Words: Fourth-degree cubature formula; cubature formula; product region; non-symmetric region; numerical integration

Abstract: A simple method is proposed for constructing fourth-degree cubature formulae over general product regions with no symmetric assumptions. The cubature formulae that are constructed contain at most n(2) + 7n + 3 nodes and they are likely the first kind of fourth-degree cubature formulae with roughly n(2) nodes for non-symmetric integrations. Moreover, two special cases are given to reduce the number of nodes further. A theoretical upper bound for minimal number of cubature nodes is also obtained.