A non-stationary approximation scheme on scattered centers in ℝd by radial basis functions

Jungho Yoon

doi:10.1016/S0377-0427(02)00898-1

A non-stationary approximation scheme on scattered centers in ℝ^d by radial basis functions

Jungho Yoon

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

A nonstationary approximation scheme on ℝ^d using scattered translates of a smooth radial basis function (e.g., Gaussian) is developed. The scheme is nonstationary and shown to provide spectral approximation orders, i.e., approximation orders that depend only on the smoothness of the approximands.

Original language	English
Pages (from-to)	163-175
Number of pages	13
Journal	Journal of Computational and Applied Mathematics
Volume	155
Issue number	1
DOIs	https://doi.org/10.1016/S0377-0427(02)00898-1
State	Published - 1 Jun 2003

Keywords

Approximation order
Fourier transform
Multivariate approximation
Radial basis function
Scattered centers

Access to Document

10.1016/S0377-0427(02)00898-1

Cite this

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title = "A non-stationary approximation scheme on scattered centers in ℝd by radial basis functions",

abstract = "A nonstationary approximation scheme on ℝd using scattered translates of a smooth radial basis function (e.g., Gaussian) is developed. The scheme is nonstationary and shown to provide spectral approximation orders, i.e., approximation orders that depend only on the smoothness of the approximands.",

keywords = "Approximation order, Fourier transform, Multivariate approximation, Radial basis function, Scattered centers",

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AB - A nonstationary approximation scheme on ℝd using scattered translates of a smooth radial basis function (e.g., Gaussian) is developed. The scheme is nonstationary and shown to provide spectral approximation orders, i.e., approximation orders that depend only on the smoothness of the approximands.

KW - Approximation order

KW - Fourier transform

KW - Multivariate approximation

KW - Radial basis function

KW - Scattered centers

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