Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4639526 | Journal of Computational and Applied Mathematics | 2013 | 9 Pages |
Abstract
This paper is devoted to construct a family of fifth degree cubature formulae for nn-cube with symmetric measure and nn-dimensional spherically symmetrical region. The formula fornn-cube contains at most n2+5n+3n2+5n+3 points and for nn-dimensional spherically symmetrical region contains only n2+3n+3n2+3n+3 points. Moreover, the numbers can be reduced to n2+3n+1n2+3n+1 and n2+n+1n2+n+1 if n=7n=7 respectively, the latter of which is minimal.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Zhaoliang Meng, Zhongxuan Luo,