On Local RBF Approximation
Classical Analysis and ODEs
2012-07-04 v2 Numerical Analysis
Abstract
The purpose of this paper is to investigate RBF approximation with highly nonuniform centers. Recently, DeVore and Ron have developed a notion of the local density of a set of centers -- a notion that permits precise pointwise error estimates for surface spline approximation. We give an equivalent, alternative characterization of local density, one that allows effective placement of centers at different resolutions. We compare, also, the pointwise results of DeVore--Ron to previously works of Wu and Schaback and of Duchon.
Cite
@article{arxiv.0909.5244,
title = {On Local RBF Approximation},
author = {Thomas Hangelbroek},
journal= {arXiv preprint arXiv:0909.5244},
year = {2012}
}
Comments
14 pages, 1 figure. To appear in Adv. in Comp. Math