Wendland functions with increasing smoothness converge to a Gaussian

Details Wendland functions with increasing smoothness converge to a Gaussian Wendland functions with increasing smoothness converge to a Gaussian

2012-03-26

arxiv.org/abs/1203.5696v1

Mathematics

Numerical Analysis

Scientific paper

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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