Several new quadrature formulas for polynomial integration in the triangle
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 $N$ be equal to the dimension of a lower dimensional polynomial space... Quadrature forumulas are presented for up to degree $d=25$, all which have positive weights and contain no points outside the triangle. Seven of these quadrature formulas improve on previously known results. read more
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Categories
Numerical Analysis
65D30 (Secondary), 65D32 (Primary), 65M60, 65M70, 41A10