Sensitivity of RBF interpolation on an otherwise uniform grid with a point omitted or slightly shifted

DOI10.1016/j.apnum.2009.08.009zbMath1193.65014OpenAlexW2075851903MaRDI QIDQ979207

John P. Boyd, Lauren R. Bridge

Publication date: 25 June 2010

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2009.08.009

zbMATH Keywords

sensitivityinterpolationnumerical experimentsradial basis functionotherwise uniform griduniform grid with one point omitteduniform grid with one point shifted

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Approximation by other special function classes (41A30)

Related Items (5)

The uselessness of the fast Gauss transform for summing Gaussian radial basis function series ⋮ Numerical experiments on the condition number of the interpolation matrices for radial basis functions ⋮ Six strategies for defeating the Runge phenomenon in Gaussian radial basis functions on a finite interval ⋮ Error saturation in Gaussian radial basis functions on a finite interval ⋮ Asymptotic coefficients for Gaussian radial basis function interpolants

Uses Software

• Matlab

Cites Work

• Approximate approximations from scattered data
• Error saturation in Gaussian radial basis functions on a finite interval
• Asymptotic coefficients for Gaussian radial basis function interpolants
• A test, based on conversion to the Bernstein polynomial basis, for an interval to be free of zeros applicable to polynomials in Chebyshev form and to transcendental functions approximated by Chebyshev series
• Radial Basis Functions
• Locality properties of radial basis function expansion coefficients for equispaced interpolation
• Scattered Data Approximation
• Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions
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