Asymptotic Fourier coefficients for a \(C^\infty\) bell (smoothed-``top-hat'') \& the Fourier extension problem
type: Item
instance of: scholarly article
title: Asymptotic Fourier coefficients for a \(C^\infty\) bell (smoothed-``top-hat'') \& the Fourier extension problem
zbMATH Open document ID: 1105.65129
author: John P. Boyd
published in: Journal of Scientific Computing
publication date: 2007-01-05T00:00:00Z
Mathematics Subject Classification ID: 65T40
Mathematics Subject Classification ID: 42A16
zbMATH DE Number: 5082152
zbMATH Keywords: Fourier series
zbMATH Keywords: spectral methods
zbMATH Keywords: local Fourier basis
zbMATH Keywords: Fourier spectral algorithms
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: s10915-005-9010-7
OpenAlex ID: W2117804954
cites work: Efficient computation of oscillatory integrals via adaptive multiscale local Fourier bases
cites work: Two-dimensional parallel solver for the solution of Navier--Stokes equations with constant and variable coefficients using ADI on cells
cites work: Parallel implementation of non-linear evolution problems using parabolic domain decomposition
cites work: On a fast direct elliptic solver by a modified Fourier method
cites work: From local cosine bases to global harmonics
cites work: The optimization of convergence for Chebyshev polynomial methods in an unbounded domain
cites work: Asymptotic coefficients of Hermite function series
cites work: Orthogonal rational functions on a semi-infinite interval
cites work: Spectral methods using rational basis functions on an infinite interval
cites work: New Directions in Solitons and Nonlinear Periodic Waves: Polycnoidal Waves, Imbricated Solitons, Weakly Nonlocal Solitary Waves, and Numerical Boundary Value Algorithms
cites work: The rate of convergence of Fourier coefficients for entire functions of infinite order with application to the Weideman-Cloot Sinh-mapping for pseudospectral computations on an infinite interval
cites work: Asymptotic Chebyshev coefficients for two functions with very rapidly or very slowly divergent power series about one endpoint
cites work: Construction of Lighthill's unitary functions: The imbricate series of unity
cites work: Additive blending of local approximations into a globally-valid approximation with application to the dilogarithm
cites work: Chebyshev and Fourier spectral methods.
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: An adaptive algorithm for spectral computations on unbounded domains
cites work: Q3971134
cites work: Mixed spectral-boundary element embedding algorithms for the Navier-Stokes equations in the vorticity-stream function formulation
cites work: A spectral embedding method applied to the advection-diffusion equation
cites work: Truncation Errors in Two Chebyshev Series Approximations
cites work: Some Estimates of the Coefficients in the Chebyshev Series Expansion of a Function
cites work: On Some Applications of the Superposition Principle with Fourier Basis
cites work: A new parallel solver for the nonperiodic incompressible Navier-Stokes equations with a Fourier method: Application to frontal polymerization
cites work: Secondary instability of cross-flow vortices in Falkner–Skan–Cooke boundary layers
cites work: Spectral multidomain technique with local Fourier basis
cites work: Q4288433
cites work: Biorthogonal smooth local trigonometric bases
cites work: Optimized local trigonometric bases
cites work: On the Convergence of the Chebyshev Series for Functions Possessing a Singularity in the Range of Representation
cites work: The Fringe Region Technique and the Fourier Method Used in the Direct Numerical Simulation of Spatially Evolving Viscous Flows
cites work: Vlasov simulations using velocity-scaled Hermite representations
cites work: Stable and Efficient Spectral Methods in Unbounded Domains Using Laguerre Functions
cites work: The Hermite Spectral Method for Gaussian-Type Functions
cites work: Multidomain local Fourier method for PDEs in complex geometries
cites work: Spectrally Accurate Solution of Nonperiodic Differential Equations by the Fourier--Gegenbauer Method
DOI: 10.1007/S10915-005-9010-7
description: scientific article; zbMATH DE number 5082152