A Fourier error analysis for radial basis functions on an infinite uniform grid. Part 2: Spectral-plus is special

作者：

Highlights：

• Error analysis for radial basis function (RBF) interpolation.

• Analyze claims that RBF is sometimes orders of magnitude more accurate than other spectral methods.

• For special cases with careful tuning, confirm RBF is superior to sinc interpolation.

• Generically, RBF interpolation is somewhat worse than sinc interpolation.

摘要

•Error analysis for radial basis function (RBF) interpolation.•Analyze claims that RBF is sometimes orders of magnitude more accurate than other spectral methods.•For special cases with careful tuning, confirm RBF is superior to sinc interpolation.•Generically, RBF interpolation is somewhat worse than sinc interpolation.

论文关键词：Radial basis functions,Spectral methods,Interpolation,Error analysis,Sinc functions,Gaussian radial basis functions,RBFs

论文评审过程：Available online 4 November 2013.

论文官网地址：https://doi.org/10.1016/j.amc.2013.09.073