Exact polynomial reproduction for oscillatory radial basis functions on infinite lattices

DOI10.1016/j.camwa.2006.04.003zbMath1154.41015OpenAlexW2017637086MaRDI QIDQ936694

Natasha Flyer

Publication date: 19 August 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.04.003

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximation by polynomials (41A10) Algorithms for approximation of functions (65D15)

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Cites Work

• A new class of oscillatory radial basis functions
• Some observations regarding interpolants in the limit of flat radial basis functions
• Interpolation in the limit of increasingly flat radial basis functions
• Stable computation of multiquadric interpolants for all values of the shape parameter
• Multivariate interpolation by polynomials and radial basis functions
• A Practical Guide to Pseudospectral Methods
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