A Windowed Fourier Method for Approximation of Non-periodic Functions on Equispaced Nodes
type: Item
instance of: scholarly article
title: A Windowed Fourier Method for Approximation of Non-periodic Functions on Equispaced Nodes
zbMATH Open document ID: 1352.65659
DOI: 10.1007/978-3-319-19800-2_37
author: Rodrigo B. Platte
published in: Lecture Notes in Computational Science and Engineering
publication date: 2016-11-02T00:00:00Z
Mathematics Subject Classification ID: 65T40
Mathematics Subject Classification ID: 65D05
zbMATH DE Number: 6647092
zbMATH Keywords: non-periodic functions on equispaced nodes
zbMATH Keywords: windowed Fourier method
zbMATH Keywords: combination with polynomial least-square corrections
zbMATH Keywords: non-periodic functions
zbMATH Keywords: algorithm
zbMATH Keywords: numerical experiments
MaRDI profile type: Publication
full work available at URL: 978-3-319-19800-2 37
OpenAlex ID: W2396431120
cites work: Parameter selection and numerical approximation properties of Fourier extensions from fixed data
cites work: On the numerical stability of Fourier extensions
cites work: A spectral FC solver for the compressible Navier-Stokes equations in general domains. I: Explicit time-stepping
cites work: A comparison of numerical algorithms for Fourier extension of the first, second, and third kinds
cites work: Q5268582
cites work: Accurate, high-order representation of complex three-dimensional surfaces via Fourier continuation analysis
cites work: Barycentric rational interpolation with no poles and high rates of approximation
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: Bounds for polynomials with a unit discrete norm
Recommended article: Windowed Fourier frames to approximate two-point boundary value problems
Recommended article: Approximation of High-Dimensional Periodic Functions with Fourier-Based Methods
Recommended article: A buffered Fourier spectral method for non-periodic PDE
Recommended article: A windowed Fourier pseudospectral method for hyperbolic conservation laws
Recommended article: The method of odd continuation for Fourier approximations of nonperiodic functions
Recommended article: Preconditioners based on windowed Fourier frames applied to elliptic partial differential equations
Recommended article: Introducing the windowed Fourier frames technique for obtaining the approximate solution of the coupled system of differential equations
Recommended article: Chebyshev-Fourier spectral methods for nonperiodic boundary value problems
Recommended article: Exact calculation of Fourier series in nonconforming spectral-element methods
Recommended article: Finite spectral method based on non-periodic Fourier transform
reviewed by: Boris V. Loginov
description: scientific article; zbMATH DE number 6647092