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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 

 

Symmetric quadrature formulae for simplexes


Author: P. Silvester
Journal: Math. Comp. 24 (1970), 95-100
MSC: Primary 65.55
MathSciNet review: 0258283
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Abstract: Symmetrie interpolation polynomials are defined for $ 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.


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DOI: https://doi.org/10.1090/S0025-5718-1970-0258283-6
Keywords: Quadrature formulae, interpolation polynomials, Newton-Cotes quadrature, multivariate interpolation, multivariate quadrature
Article copyright: © Copyright 1970 American Mathematical Society