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Indexed by:期刊论文

Date of Publication:2014-05-01

Journal:NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS

Included Journals:SCIE、Scopus

Volume:7

Issue:2

Page Number:179-192

ISSN No.: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.