English

Analytical computation of moderate-degree fully-symmetric cubature rules on the triangle

Numerical Analysis 2011-11-17 v1

Abstract

A method is developed to compute analytically fully symmetric cubature rules on the triangle by using symmetric polynomials to express the two kinds of invariance inherent in these rules. Rules of degree up to 15, some of them new and of good quality, are computed and presented.

Keywords

Cite

@article{arxiv.1111.3827,
  title  = {Analytical computation of moderate-degree fully-symmetric cubature rules on the triangle},
  author = {Stefanos-Aldo Papanicolopulos},
  journal= {arXiv preprint arXiv:1111.3827},
  year   = {2011}
}

Comments

13 pages, submitted to Journal of Computational and Applied Mathematics