NAApr 11, 2013
Wendland functions with increasing smoothness converge to a GaussianA. Chernih, I. H. Sloan, R. S. Womersley
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.