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

DOI10.1016/J.AMC.2003.12.013zbMath1062.41020OpenAlexW2078596506MaRDI QIDQ1763224

Jungho Yoon

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2003.12.013

zbMATH Keywords

Sobolev spaceInterpolationRadial basis functionMultiquadricShifted surface spline

Mathematics Subject Classification ID

Approximation by other special function classes (41A30)

Related Items (1)

Error analysis of the reduced RBF model based on POD method for time-fractional partial differential equations

Cites Work

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• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• The uniform convergence of thin plate spline interpolation in two dimensions
• On the stationary \(L_{p}\)-approximation power to derivatives by radial basis function interpolation.
• On multivariate approximation by integer translates of a basis function
• Local error estimates for radial basis function interpolation of scattered data
• 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
• Interpolation by radial functions on Sobolev space

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