Bivariate Lagrange interpolation at the Padua points: Computational aspects

DOI10.1016/j.cam.2007.10.027zbMath1152.65018OpenAlexW2105925853MaRDI QIDQ950175

Marco Vianello, Marco Caliari, Stefano De Marchi

Publication date: 22 October 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.10.027

zbMATH Keywords

numerical examplessquarereproducing kernelbivariate polynomial interpolationPadua pointsbivariate Chebyshev orthogonal polynomials

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10)

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Uses Software

• Hyper2d
• Padua2D
• Algorithm 792
• Chebfun
• XuPad2D

Cites Work

• Unnamed Item
• A numerical study of the xu polynomial interpolation formula in two variables
• Interpolation lattices in several variables
• Bivariate Lagrange interpolation at the Padua points: the generating curve approach
• Bivariate interpolation at Xu points: results, extensions and applications
• Lagrange interpolation on Chebyshev points of two variables
• Bivariate polynomial interpolation on the square at new nodal sets
• Multivariate simultaneous approximation
• On polynomial interpolation of two variables
• Christoffel functions and Fourier series for multivariate orthogonal polynomials
• Polynomial interpolation in several variables
• On multivariate projection operators
• Bivariate Lagrange interpolation at the Padua points: The ideal theory approach
• Exact order of the Lebesgue constants for bivariate Lagrange interpolation at certain node-systems
• Algorithm 792
• An Extension of MATLAB to Continuous Functions and Operators