Stability of multiquadric quasi-interpolation to approximate high order derivatives

DOI10.1007/s11425-010-0068-9zbMath1191.65018OpenAlexW2006722562MaRDI QIDQ977278

Zong Min Wu, Limin Ma

Publication date: 21 June 2010

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-0068-9

zbMATH Keywords

stabilitynumerical examplesradial basis functionsvariancewhite noiseexpectationdivided difference methodHardy's multiquadricnumerical differentialquasiinterpolation

Mathematics Subject Classification ID

Numerical differentiation (65D25)

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Cites Work

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• Univariate multiquadric approximation: Quasi-interpolation to scattered data
• A practical guide to splines
• A univariate quasi-multiquadric interpolation with better smoothness
• Generalized Strang-Fix condition for scattered data quasi-interpolation
• Shape preserving properties and convergence of univariate multiquadric quasi-interpolation
• Approximation to the \(k\)-th derivatives by multiquadric quasi-interpolation method
• Multiquadric \(B\)-splines
• Scattered Data Interpolation: Tests of Some Method
• Radial Basis Functions

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