Several new quadrature formulas for polynomial integration in the triangle
Numerical Analysis
2007-05-23 v2
Abstract
We present several new quadrature formulas in the triangle for exact integration of polynomials. The points were computed numerically with a cardinal function algorithm which imposes that the number of quadrature points be equal to the dimension of a lower dimensional polynomial space. Quadrature forumulas are presented for up to degree , all which have positive weights and contain no points outside the triangle. Seven of these quadrature formulas improve on previously known results.
Cite
@article{arxiv.math/0501496,
title = {Several new quadrature formulas for polynomial integration in the triangle},
author = {Mark A. Taylor and Beth A. Wingate and Len P. Bos},
journal= {arXiv preprint arXiv:math/0501496},
year = {2007}
}
Comments
14 pages, 14 figures, 5 pages of tabulated quadrature points. Correct reference