Orthogonal polynomials and cubature formulae on balls, simplices, and spheres
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Publication:5929306
DOI10.1016/S0377-0427(00)00504-5zbMath0972.42016OpenAlexW2058444135MaRDI QIDQ5929306
Publication date: 5 November 2001
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0377-0427(00)00504-5
cubature formulaeoctahedral grouporthogonal expansionsorthogonal polynomials in several variablessummabilitysymmetric group
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)
Related Items
Multivariate orthogonal Laurent polynomials and integrable systems, Multivariate Toda hierarchies and biorthogonal polynomials, Riesz transforms and fractional integration for orthogonal expansions on spheres, balls and simplices, Multivariate orthogonal polynomials and integrable systems, Quasi-Monte Carlo tractability of high dimensional integration over products of simplices, Optimal cubature formulas in weighted Besov spaces with \(A _{\infty }\) weights on multivariate domains, Sharp estimates of the Cesàro kernels for weighted orthogonal polynomial expansions in several variables, Abel means for orthogonal expansions of distributions on spheres, balls and simplices, Hybrid dimension reduction for mechanism reliability analysis with random joint clearances, Multivariate polynomial inequalities with respect to doubling weights and \(A_{\infty}\) weights, Positive cubature formulas and Marcinkiewicz-Zygmund inequalities on spherical caps, Invariant cubature formulae of degree 6 for the \(n\)-simplex, Optimal Monte Carlo integration on closed manifolds, Schemes for cubature over the unit disk found via numerical optimization, Chebyshev-type cubature formulas for doubling weighted spheres, balls, and simplexes
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