On Bivariate Gaussian Cubature Formulae

DOI10.2307/2160762zbMath0812.65013OpenAlexW4233768258MaRDI QIDQ4318306

Yuan Xu, Hans Joachim Schmid

Publication date: 2 January 1995

Full work available at URL: https://doi.org/10.2307/2160762

zbMATH Keywords

Gaussian quadratureGaussian cubaturebivariate orthogonal polynomialcommon zeros of orthogonal polynomial

Mathematics Subject Classification ID

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

Related Items

On the construction of general cubature formula by flat extensions ⋮ Multivariate Gaussian cubature formulae ⋮ Multivariate orthogonal polynomials and modified moment functionals ⋮ Generalized discrete orbit function transforms of affine Weyl groups ⋮ On linearly related orthogonal polynomials in several variables ⋮ Averaged cubature schemes on the real positive semiaxis ⋮ The existence of Gaussian cubature formulas ⋮ Optimal Points for Cubature Rules and Polynomial Interpolation on a Square ⋮ Exact cubature rules for symmetric functions ⋮ Discrete Fourier analysis with lattices on planar domains ⋮ Minimal cubature rules and polynomial interpolation in two variables ⋮ Commuting family of block Jacobi matrices ⋮ Cubature formulae and orthogonal polynomials ⋮ Orthogonal polynomials and expansions for a family of weight functions in two variables ⋮ Minimal cubature rules and polynomial interpolation in two variables. II. ⋮ Blending methods for two classical integrals ⋮ Schemes for cubature over the unit disk found via numerical optimization

Cites Work

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