Error estimates in Sobolev spaces for interpolating thin plate splines under tension

DOI10.1016/j.cam.2005.12.014zbMath1105.41007OpenAlexW2025222598MaRDI QIDQ859880

Abderrahman Bouhamidi

Publication date: 22 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.cam.2005.12.014

zbMATH Keywords

interpolationapproximation theoryerror estimates and convergence

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Spline approximation (41A15) Algorithms for approximation of functions (65D15)

Related Items (3)

Error estimates for interpolating div-curl splines under tension on a bounded domain ⋮ Error estimates for vectorial interpolating div-rot splines under tension ⋮ Fitting and filling of 3D datasets with volume constraints using radial basis functions under tension

Cites Work

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• Estimations de l'erreur d'approximation par splines d'interpolation et d'adjustement d'ordre (m,s). (Approximation error estimates for interpolating and smoothing (m,s)-splines)
• Thin plate splines with tension
• Convergence and error estimates for \((m,l,s)\)-splines
• Multivariate interpolating \((m,\ell,s)\)-splines
• Sur l’erreur d’interpolation des fonctions de plusieurs variables par les $D^m$-splines
• An Interpolation Curve Using a Spline in Tension

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