Beatson, R. and Davydov, O. and Levesley, J. (2010) Error bounds for anisotropic RBF interpolation. Journal of Approximation Theory, 162 (3). pp. 512-527. ISSN 0021-9045Full text not available in this repository. (Request a copy from the Strathclyde author)
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.
|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 Apr 2017 07:20|