Wendland functions with increasing smoothness converge to a Gaussian

DOI10.1007/s10444-013-9304-5zbMath1298.41002arXiv1203.5696OpenAlexW1992786562MaRDI QIDQ457673

Robert S. Womersley, Ian H. Sloan, Andrew Chernih

Publication date: 29 September 2014

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.5696

zbMATH Keywords

radial basis functionsGaussiansmoothnesscompact supportWendland functions

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Spline approximation (41A15) Approximation by other special function classes (41A30)

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Uses Software

• Matlab

Cites Work

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• Closed form representations for a class of compactly supported radial basis functions
• The missing Wendland functions
• Radial positive definite functions generated by Euclid's hat
• Compactly supported positive definite radial functions
• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
• On choosing ``optimal shape parameters for RBF approximation
• On some properties of Buhmann functions
• Radial Basis Functions
• Scattered Data Approximation

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