Optimal Points for Cubature Rules and Polynomial Interpolation on a Square

DOI10.1007/978-3-319-72456-0_58zbMath1405.65034arXiv1709.00651OpenAlexW2751758034MaRDI QIDQ4611851

No author found.

Publication date: 22 January 2019

Published in: Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.00651

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Best approximation, Chebyshev systems (41A50) Numerical interpolation (65D05) Numerical quadrature and cubature formulas (65D32)

Related Items (2)

A new collocation method using near-minimal Chebyshev quadrature nodes on a square ⋮ Mini-workshop: Interpolation, approximation, and algebra. Abstracts from the mini-workshop held February 13--19, 2022

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bivariate Lagrange interpolation at the node points of non-degenerate Lissajous curves
• Minimal cubature rules and polynomial interpolation in two variables
• Orthogonal polynomials and expansions for a family of weight functions in two variables
• Minimal cubature rules and polynomial interpolation in two variables. II.
• Bivariate Lagrange interpolation at the Padua points: the generating curve approach
• Lagrange interpolation on Chebyshev points of two variables
• On cubature formulae with a minimal number of knots
• Kubaturformeln mit minimaler Knotenzahl
• Monomial cubature rules since ``Stroud: A compilation
• On minimal cubature formulae for product weight functions
• Bivariate Lagrange interpolation at the node points of Lissajous curves -- the degenerate case
• Monomial cubature rules since ``Stroud: A compilation. II
• Lagrange polynomials, reproducing kernels and cubature in two dimensions
• On multivariate projection operators
• Bivariate Lagrange interpolation at the Padua points: The ideal theory approach
• On the Lebesgue constant for the Xu interpolation formula
• Bivariate Polynomial Interpolation at the Geronimus Nodes
• Bivariate Lagrange interpolation at the Chebyshev nodes
• Cubature formula and interpolation on the cubic domain
• Gaussian Cubature and Bivariate Polynomial Interpolation
• Construction of Algebraic Cubature Rules Using Polynomial Ideal Theory
• On Zeros of Multivariate Quasi-Orthogonal Polynomials and Gaussian Cubature Formulae
• On Bivariate Gaussian Cubature Formulae
• High-dimensional integration: The quasi-Monte Carlo way
• Orthogonal Polynomials of Several Variables

This page was built for publication: Optimal Points for Cubature Rules and Polynomial Interpolation on a Square