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

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

2011-11-16

arxiv.org/abs/1111.3827v1

Mathematics

Numerical Analysis

13 pages, submitted to Journal of Computational and Applied Mathematics

Scientific paper

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.

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