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arXiv · 1203.5696

Wendland functions with increasing smoothness converge to a Gaussian

A. Chernih·I. H. Sloan·R. S. Womersley
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Abstract

The Wendland functions are a class of compactly supported radial basis functions with a user-specified smoothness parameter. We prove that with a linear change of variables, both the original and the "missing" Wendland functions converge uniformly to a Gaussian as the smoothness parameter approaches infinity. We also give numerical experiments with Wendland functions of different smoothness.

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A. Chernih, I. H. Sloan, R. S. Womersley. 2013-04-11. Wendland functions with increasing smoothness converge to a Gaussian. https://arxiv.org/abs/1203.5696

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