On node distributions for interpolation and spectral methods

DOI10.1090/mcom/3018zbMath1332.65021arXiv1305.6104OpenAlexW2267517405MaRDI QIDQ2792333

Nguyen Si Hoang

Publication date: 9 March 2016

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.6104

zbMATH Keywords

interpolationpseudospectral methodsChebyshev nodesdifferentiation matricesintegration matricesChebyshev-Gauss-Lobatto nodesnode distributionsscaled Chebyshev nodes

Mathematics Subject Classification ID

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

Related Items (7)

A note on optimal Hermite interpolation in Sobolev spaces ⋮ Optimal Hermite-Fejér interpolation of algebraic polynomials and the best one-sided approximation on the interval \([-1,1\)] ⋮ On nodal point sets for flux reconstruction ⋮ Sample numbers and optimal Lagrange interpolation in Sobolev spaces ⋮ Unnamed Item ⋮ Sample numbers and optimal Lagrange interpolation of Sobolev spaces \(W_1^r\) ⋮ Optimal Birkhoff interpolation and Birkhoff numbers in some function spaces

Uses Software

• Matlab

Cites Work

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• Superconvergence of a Chebyshev spectral collocation method
• Optimal Lebesgue Constant for Lagrange Interpolation
• Approximation by Polynomials: Interpolation and Optimal Nodes
• An example of optimal nodes for interpolation
• On Asymptotics for the Uniform Norms of the Lagrange Interpolation Polynomials Corresponding to Extended Chebyshev Nodes
• From Electrostatics to Almost Optimal Nodal Sets for Polynomial Interpolation in a Simplex
• Spectral Methods in MATLAB
• A Practical Guide to Pseudospectral Methods

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