Convergence and error theorems for Hermite function pseudo-RBFs: interpolation on a finite interval by Gaussian-localized polynomials
type: Item
instance of: scholarly article
title: Convergence and error theorems for Hermite function pseudo-RBFs: interpolation on a finite interval by Gaussian-localized polynomials
zbMATH Open document ID: 1310.65012
author: John P. Boyd
published in: Applied Numerical Mathematics
publication date: 2014-10-31T00:00:00Z
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A10
zbMATH DE Number: 6362825
zbMATH Keywords: radial basis functions
zbMATH Keywords: Hermite functions
zbMATH Keywords: interpolation
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: j.apnum.2014.09.004
OpenAlex ID: W2059944837
cites work: On the resolution power of Fourier extensions for oscillatory functions
cites work: Q3207312
cites work: Defeating the Runge phenomenon for equispaced polynomial interpolation via Tikhonov regularization
cites work: A comparison of numerical algorithms for Fourier extension of the first, second, and third kinds
cites work: Fourier embedded domain methods: Extending a function defined on an irregular region to a rectangle so that the extension is spatially periodic and \(C^{\infty}\)
cites work: Trouble with Gegenbauer reconstruction for defeating Gibbs' phenomenon: Runge phenomenon in the diagonal limit of Gegenbauer polynomial approximations
cites work: Computing real roots of a polynomial in Chebyshev series form through subdivision
cites work: Q2372059
cites work: Six strategies for defeating the Runge phenomenon in Gaussian radial basis functions on a finite interval
cites work: Hermite function interpolation on a finite uniform grid: defeating the Runge phenomenon and replacing radial basis functions
cites work: Numerical experiments on the accuracy of the Chebyshev-Frobenius companion matrix method for finding the zeros of a truncated series of Chebyshev polynomials
cites work: Q5268582
cites work: Exponentially-convergent strategies for defeating the Runge phenomenon for the approximation of non-periodic functions. II: Multi-interval polynomial schemes and multidomain Chebyshev interpolation
cites work: An analytic approximation to the cardinal functions of Gaussian radial basis functions on an infinite lattice
cites work: Divergence (Runge phenomenon) for least-squares polynomial approximation on an equispaced grid and mock-Chebyshev subset interpolation
cites work: On approximate cardinal preconditioning methods for solving PDEs with radial basis functions
cites work: Q4550961
cites work: The finite-product method in the theory of waves and stability
cites work: Q3446085
cites work: A Practical Guide to Pseudospectral Methods
cites work: Locality properties of radial basis function expansion coefficients for equispaced interpolation
cites work: Cardinal interpolation with Gaussian kernels
cites work: High-order unconditionally stable FC-AD solvers for general smooth domains. II: Elliptic, parabolic and hyperbolic PDEs; theoretical considerations
cites work: A Fast Algorithm for Fourier Continuation
cites work: How fast do radial basis function interpolants of analytic functions converge?
cites work: A hybrid Fourier-Chebyshev method for partial differential equations
cites work: Impossibility of Fast Stable Approximation of Analytic Functions from Equispaced Samples
cites work: Gaussian radial-basis functions: cardinal interpolation of \(\ell^p\) and power-growth data
cites work: On cardinal interpolation by Gaussian radial-basis functions: Properties of fundamental functions and estimates for Lebesgue constants
cites work: Logarithmic Potential Theory with Applications to Approximation Theory
cites work: Q4360405
cites work: A linear system-free Gaussian RBF method for the Gross-Pitaevskii equation on unbounded domains
cites work: Kernel techniques: From machine learning to meshless methods
cites work: Q4904857
cites work: Scattered Data Approximation
cites work: Q3736811
cites work: Interpolation by periodic radial functions
DOI: 10.1016/J.APNUM.2014.09.004
description: scientific article; zbMATH DE number 6362825