On the stationary \(L_{p}\)-approximation power to derivatives by radial basis function interpolation.

DOI10.1016/j.amc.2003.10.009zbMath1064.65020OpenAlexW2028268087MaRDI QIDQ1428607

Jungho Yoon

Publication date: 29 March 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.10.009

zbMATH Keywords

interpolationnumerical examplederivativesradial basis functionhomogeneous Sobolev spaceapproximation power

Mathematics Subject Classification ID

Numerical interpolation (65D05) Numerical differentiation (65D25)

Related Items (2)

Numerical differentiation by radial basis functions approximation ⋮ Improved accuracy of \(L_{p}\)-approximation to derivatives by radial basis function interpolation

Cites Work

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• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• Regarding the \(p\)-norms of radial basis interpolation matrices
• Norms of inverses and condition numbers for matrices associated with scattered data
• Local error estimates for radial basis function interpolation of scattered data
• Applications of analysis on nilpotent groups to partial differential equations
• Sur l’erreur d’interpolation des fonctions de plusieurs variables par les $D^m$-splines
• Multivariate Interpolation and Conditionally Positive Definite Functions. II
• $L_p$-error estimates for ``shifted surface spline interpolation on Sobolev space
• Approximation in \(L_p (\mathbb{R}^d)\) from a space spanned by the scattered shifts of a radial basis function

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