Symmetric Quadrature Formulae for Simplexes

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1970Publisher:JSTORJournal:Mathematics of Computation, volume 24, page 95 (issn: 0025-5718,

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Authors: Silvester, P.;

doi: 10.2307/2004880 , 10.1090/s0025-5718-1970-0258283-6

Symmetric Quadrature Formulae for Simplexes

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Abstract

Symmetrie interpolation polynomials are defined for N N -dimensional simplexes with the aid of a symmetric coordinate notation. These polynomials are used to produce symmetric interpolatory quadrature formulae of arbitrary degree of precision over simplexes of arbitrary dimensionality. Tabulated values of weight coefficients are given for triangles and tetrahedra.

Keywords

numerical analysis

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