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

Stefanos-Aldo Papanicolopulos

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

School of Engineering

Research output: Working paper

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.

Original language	English
Publisher	ArXiv
Publication status	Published - 16 Nov 2011

Keywords

Cubature
triangle
fully symmetric rules
symmetric polynomials

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http://arxiv.org/abs/1111.3827

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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.",

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KW - fully symmetric rules

KW - symmetric polynomials

M3 - Working paper

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

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

Abstract

Keywords

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