Error bounds for anisotropic RBF interpolation
Beatson, R. and Davydov, O. and Levesley, J., EPSRC (grant EP/F009615) (Funder) (2010) Error bounds for anisotropic RBF interpolation. Journal of Approximation Theory, 162 (3). pp. 512-527. ISSN 0021-9045 (https://doi.org/10.1016/j.jat.2009.08.004)
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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.
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Item type: Article ID code: 28198 Dates: DateEventMarch 2010PublishedSubjects: Science > Mathematics Department: Faculty of Science > Mathematics and Statistics Depositing user: Mrs Carolynne Westwood Date deposited: 14 Oct 2010 13:10 Last modified: 02 Aug 2024 15:13 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/28198