Calculation of Numerical Integration of Multiple Dimensions by Dissection into Simplices

Calculation of Numerical Integration of Multiple Dimensions by Dissection into Simplices

Year:    1984

Journal of Computational Mathematics, Vol. 2 (1984), Iss. 3 : pp. 239–246

Abstract

In this paper, we introduce a method of numerical integration on a polytope of multiple dimensions. Its basic idea is to cut a polytope into some simplices and sum the integral values on the simplices. We give the integral formulae, the expressions to estimate the error and the method for cutting a polytope into simplices. Some examples are provided to explain the adaptability of the method.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1984-JCM-9658

Journal of Computational Mathematics, Vol. 2 (1984), Iss. 3 : pp. 239–246

Published online:    1984-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords: