Constructing cubature formulae by the method of reproducing kernel

DOI10.1007/s002110050481zbMath0947.41024OpenAlexW1975650678MaRDI QIDQ1972276

Yuan Xu

Publication date: 8 November 2000

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002110050481

zbMATH Keywords

orthogonal polynomialsmultidimensional problemsapproximate quadratures

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Multidimensional problems (41A63) Approximate quadratures (41A55) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (5)

On the number of nodes in \(n\)-dimensional cubature formulae of degree 5 for integrals over the ball ⋮ Orthogonal polynomials and cubature formulae on balls, simplices, and spheres ⋮ Representation of reproducing kernels and the Lebesgue constants on the ball ⋮ Construction of cubature formulae with preassigned nodes§ ⋮ Improved cubature formulae of high degrees of exactness for the square

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