Fully symmetric interpolatory rules for multiple integrals over hyper-spherical surfaces

DOI10.1016/S0377-0427(03)00413-8zbMath1028.65015MaRDI QIDQ1405186

A. C. Genz

Publication date: 25 August 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

multiple integralssurface integralhigher-spheresymmetric interpolatory integration rules

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

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Uses Software

• PATSYM

Cites Work

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• Orthogonal polynomials and cubature formulae on spheres and on simplices
• Fully Symmetric Integration Formulas for the Surface of the Sere in S Dimensions
• The Efficient Generation of Random Orthogonal Matrices with an Application to Condition Estimators
• Symmetric Quadrature Formulae for Simplexes
• Stochastic Quadrature Formulas

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