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论文类型：期刊论文

发表时间：2014-05-01

发表刊物：NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS

收录刊物：SCIE、Scopus

卷号：7

期号：2

页面范围：179-192

ISSN号：1004-8979

关键字：Fourth-degree cubature formula; cubature formula; product region; non-symmetric region; numerical integration

摘要：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.