Gaussian Cubature and Bivariate Polynomial Interpolation

DOI10.2307/2153073zbMath0766.65006OpenAlexW4251534743MaRDI QIDQ4031581

Yuan Xu

Publication date: 1 April 1993

Full work available at URL: https://doi.org/10.2307/2153073

zbMATH Keywords

convergencebivariate interpolationmultivariate polynomial interpolationLagrange formulasquasi- orthogonal polynomialstwo-dimensional Gauss rules

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items

Multivariate Gaussian cubature formulae ⋮ Multivariate orthogonal polynomials and modified moment functionals ⋮ On linearly related orthogonal polynomials in several variables ⋮ Optimal Points for Cubature Rules and Polynomial Interpolation on a Square ⋮ Minimal cubature rules and polynomial interpolation in two variables ⋮ Commuting family of block Jacobi matrices ⋮ Recurrence Formulas for Multivariate Orthogonal Polynomials ⋮ Block Jacobi Matrices and Zeros of Multivariate Orthogonal Polynomials ⋮ A new family of extended Gauss quadratures with an interior interval constraint ⋮ Bivariate polynomial interpolation on the square at new nodal sets ⋮ On Bivariate Gaussian Cubature Formulae

Cites Work

• Solvability problems of bivariate interpolation I
• On cubature formulae with a minimal number of knots
• Kubaturformeln mit minimaler Knotenzahl
• A class of orthogonal polynomials
• Construction of Algebraic Cubature Rules Using Polynomial Ideal Theory
• On Multivariate Orthogonal Polynomials
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