Adaptive residual subsampling methods for radial basis function interpolation and collocation problems
type: Item
instance of: scholarly article
title: Adaptive residual subsampling methods for radial basis function interpolation and collocation problems
zbMATH Open document ID: 1125.41005
author: Tobin A. Driscoll
author: Alfa Heryudono
publication date: 2007-11-02T00:00:00Z
review text: Radial basis functions are a useful tool for multivariable approximation and currently very popular for solving differential equations. The method of choice for this is collocation or interpolation, mostly for boundary value problems. Here, this approach is taken for both boundary and initial value problems, including the use of radial basis functions with parameters and knot removal. Mainly, so-called residual subsampling methods are employed. The condition numbers of the necessarily ensuing interpolation (collocation) matrices are also discussed and examples provided.
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 65D10
zbMATH DE Number: 5207948
zbMATH Keywords: radial basis functions
zbMATH Keywords: interpolation
zbMATH Keywords: collocation: residual subsampling
reviewed by: Martin D. Buhmann
MaRDI profile type: Publication
full work available at URL: j.camwa.2006.06.005
OpenAlex ID: W2145090494
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DOI: 10.1016/J.CAMWA.2006.06.005
published in: Computers & Mathematics with Applications
description: scientific article