On an interpolation problem with the smallest \(L_2\)-norm of the Laplace operator

DOI10.1134/S0081543822060177OpenAlexW4321128373MaRDI QIDQ2692751

Sergey I. Novikov

Publication date: 23 March 2023

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543822060177

zbMATH Keywords

interpolationLaplace operatorthin plate splines

Mathematics Subject Classification ID

Numerical analysis (65-XX) Approximations and expansions (41-XX)

Cites Work

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• Lebesgue function for multivariate interpolation by radial basis functions
• How small can one make the derivatives of an interpolating function?
• On 'best' interpolation
• Interpolation by functions with \(n\)th derivative of minimum norm
• Sur l'interpolation
• Radial Basis Functions