Refined error estimates for Green kernel-based interpolation

DOI10.1016/J.AML.2022.108258OpenAlexW4283015491MaRDI QIDQ2161456

Hojatollah Adibi, Hamed Mohebalizadeh, Gregory E. Fasshauer

Publication date: 4 August 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108258

zbMATH Keywords

error estimatespositive-definite kernelsGreen kernels

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Spline approximation (41A15) Approximation by other special function classes (41A30)

Related Items (3)

Well-posedness of space fractional Ginzburg-Landau equations involving the fractional Laplacian arising in a Bose-Einstein condensation and its kernel based approximation ⋮ Reproducing kernels of Sobolev–Slobodeckij˘ spaces via Green’s kernel approach: Theory and applications ⋮ Dynamic analysis of viscoelastic foundation plate with fractional Kelvin-Voigt model using shifted Bernstein polynomials

Uses Software

• GaussQR
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Cites Work

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• Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains
• On power functions and error estimates for radial basis function interpolation
• A study of the uniform accuracy of univariate thin plate spline interpolation
• Reproducing kernels of Sobolev spaces via a Green kernel approach with differential operators and boundary operators
• An introduction to the Hilbert-Schmidt SVD using iterated Brownian bridge kernels
• Thin plate spline interpolation on the unit interval
• A New Class of Interpolatory L-Splines with Adjoint End Conditions

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