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Volume 2, Issue 3
Calculation of Numerical Integration of Multiple Dimensions by Dissection into Simplices

Cheng-Shu Wang

J. Comp. Math., 2 (1984), pp. 239-246.

Published online: 1984-02

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  • 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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@Article{JCM-2-239, author = {Cheng-Shu Wang}, title = {Calculation of Numerical Integration of Multiple Dimensions by Dissection into Simplices}, journal = {Journal of Computational Mathematics}, year = {1984}, volume = {2}, number = {3}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9658.html} }
TY - JOUR T1 - Calculation of Numerical Integration of Multiple Dimensions by Dissection into Simplices AU - Cheng-Shu Wang JO - Journal of Computational Mathematics VL - 3 SP - 239 EP - 246 PY - 1984 DA - 1984/02 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9658.html KW - AB -

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.

Cheng-Shu Wang. (1984). Calculation of Numerical Integration of Multiple Dimensions by Dissection into Simplices. Journal of Computational Mathematics. 2 (3). 239-246. doi:
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