Multidimensional generalization of simpson-type formulas over n-simplex

被引：0
|
作者：
Lu, You [1 ]
Wang, Ren-Hong [2 ]
机构：
[1] Dept. of Comp. Sci. and Technol., Univ. of Petroleum Changping, Beijing 102249, China
[2] Inst. of Mathematical Sci., Dalian Univ. of Technol., Dalian 116024, China
来源：
Journal of Information and Computational Science | 2004年 / 1卷 / 02期
关键词：
Boundary element method - Finite element method - Polynomials - Supercomputers - Theorem proving;
D O I：
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中图分类号：
学科分类号：
摘要：
This paper adopts area coordinate system to study multiple integrals over n-simplex. We construct cubature formulas of integrals over simplex based on the vertexes, middle points of edges and a middle point of plane on a triangle. This cubature formula over n-simplex is similar to the Simpson's formulas of integrals. We have also given a formula of degree 3 consisting of 11 points for a tetrahedron.
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页码：331 / 335
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