An adaptive algorithm for spectral computations on unbounded domains
type: Item
instance of: scholarly article
title: An adaptive algorithm for spectral computations on unbounded domains
zbMATH Open document ID: 0760.65095
DOI: 10.1016/0021-9991(92)90381-8
author: J. A. C. Weideman
author: Alain H. Cloot
published in: Journal of Computational Physics
publication date: 1993-01-17T00:00:00Z
review text: The authors consider a spectral rational function method and a method based on domain truncation combined with the Fourier series method for solving differential equations on unbounded domains. Both these methods contain a free parameter which can automatically adapt at regular time levels to maintain optimal accuracy. Numerical tests illustrate that this method is effective and robust.
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65M50
Mathematics Subject Classification ID: 35G10
Mathematics Subject Classification ID: 35K25
zbMATH DE Number: 98378
zbMATH Keywords: adaptive algorithm
zbMATH Keywords: spectral method
zbMATH Keywords: numerical tests
zbMATH Keywords: evolution equations
zbMATH Keywords: optimal parameter
zbMATH Keywords: automatic algorithm
zbMATH Keywords: updating algorithm
zbMATH Keywords: spectral rational function method
zbMATH Keywords: domain truncation
zbMATH Keywords: Fourier series method
zbMATH Keywords: unbounded domains
zbMATH Keywords: optimal accuracy
reviewed by: Qin Meng Zhao
MaRDI profile type: Publication
full work available at URL: 0021-9991(92)90381-8
OpenAlex ID: W1998378674
cites work: Q4039908
cites work: Numerical Methods Based on Whittaker Cardinal, or Sinc Functions
cites work: Spectral methods using rational basis functions on an infinite interval
cites work: Spectral methods and mappings for evolution equations on the infinite line
cites work: The optimization of convergence for Chebyshev polynomial methods in an unbounded domain
cites work: The Exponential Accuracy of Fourier and Chebyshev Differencing Methods
description: scientific article; zbMATH DE number 98378