A non-stationary approximation scheme on scattered centers in \({\mathbb R}^{d}\) by radial basis functions.
DOI10.1016/S0377-0427(02)00898-1zbMath1033.65125MaRDI QIDQ1811617
Publication date: 17 June 2003
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Fourier transformmultivariate approximationradial basis functionsill-conditioned linear systemsapproximation orderscattered dataGaussian kernelinterpolation methods
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) Numerical interpolation (65D05) Multidimensional problems (41A63) Approximation by other special function classes (41A30)
Cites Work
- Interpolation of scattered data: distance matrices and conditionally positive definite functions
- Fourier analysis of the approximation power of principal shift-invariant spaces
- On quasi-interpolation by radial basis functions with scattered centres
- Local error estimates for radial basis function interpolation of scattered data
- Applications of analysis on nilpotent groups to partial differential equations
- The approximation power of moving least-squares
- Radial Basis Function Approximation: from Gridded Centres to Scattered Centres
- Approximation in \(L_p (\mathbb{R}^d)\) from a space spanned by the scattered shifts of a radial basis function
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