Beatson, R. and Davydov, O. and Levesley, J. and , EPSRC (grant EP/F009615) (Funder)
(2010)
*Error bounds for anisotropic RBF interpolation.*
Journal of Approximation Theory, 162 (3).
pp. 512-527.
ISSN 0021-9045

## Abstract

We present error bounds for the interpolation with anisotropically transformed radial basis functions for both a function and its partial derivatives. The bounds rely on a growth function and do not contain unknown constants. For polyharmonic basic functions in , we show that the anisotropic estimates predict a significant improvement of the approximation error if both the target function and the placement of the centers are anisotropic, and this improvement is confirmed numerically.

Item type: | Article |
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ID code: | 28198 |

Keywords: | radial basis functions, anisotropic approximation, Mathematics, Analysis, Applied Mathematics, Mathematics(all), Numerical Analysis |

Subjects: | Science > Mathematics |

Department: | Faculty of Science > Mathematics and Statistics |

Depositing user: | Mrs Carolynne Westwood |

Date Deposited: | 14 Oct 2010 13:10 |

Last modified: | 21 May 2015 12:47 |

Related URLs: | |

URI: | http://strathprints.strath.ac.uk/id/eprint/28198 |

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