An interpolation scheme with radial basis in Sobolev spaces \(H^ s (R^ n)\)

DOI10.1216/rmjm/1181072340zbMath0819.41004OpenAlexW2033334248MaRDI QIDQ1890793

Robert D. Ogden, Julio G. Dix

Publication date: 22 May 1995

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072340

zbMATH Keywords

reproducing kernelsscattered dataradial functions

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Algorithms for approximation of functions (65D15)

Related Items

Meshless Galerkin methods using radial basis functions ⋮ Radial basis functions methods for boundary value problems: performance comparison

Uses Software

• LINPACK
• GCVPACK

Cites Work

• Convergence rates of certain approximate solutions to Fredholm integral equations of the first kind
• Getting better contour plots with S and GCVPACK
• Scattered Data Interpolation: Tests of Some Method
• Multivariate Interpolation and Conditionally Positive Definite Functions. II
• Theory of Reproducing Kernels
• The Solution of Algebraic and Transcendental Equations by Iteration
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