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
Full text not available in this repository. (Request a copy from the Strathclyde author)Official URL: http://dx.doi.org/10.1016/j.jat.2009.08.004
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 |
|---|---|
| ID code: | 28198 |
| Keywords: | radial basis functions, anisotropic approximation, Mathematics |
| Subjects: | Science > Mathematics |
| Department: | Faculty of Science > Mathematics and Statistics |
| Related URLs: | |
| Depositing user: | Mrs Carolynne Westwood |
| Date Deposited: | 14 Oct 2010 14:10 |
| Last modified: | 23 Oct 2012 14:59 |
| URI: | http://strathprints.strath.ac.uk/id/eprint/28198 |
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