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

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arxiv 1111.3827 v1 pith:E5LD2BCL submitted 2011-11-16 math.NA cs.NA

Stefanos-Aldo Papanicolopulos This is my paper · ORCID
classification math.NAcs.NA
keywords rulescubaturesymmetrictriangleanalyticalanalyticallycomputationcompute
verification ladder T0 review T1 audit T2 compute T3 formal
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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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  1. Symmetric Triangle Quadrature Rules for Arbitrary Functions

    math.NA 2019-09 conditional novelty 6.0 of 10

    Two approaches compute symmetric triangle quadrature rules that exactly integrate chosen sequences of singular functions; on a test electromagnetic integral, they reduce relative error by up to two orders of magnitude...

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