On the stability of collocation methods for the two-dimensional Burgers equation: The Fourier case
type: Item
instance of: scholarly article
title: On the stability of collocation methods for the two-dimensional Burgers equation: The Fourier case
zbMATH Open document ID: 0846.65052
DOI: 10.1007/BF01575100
author: Martine Marion
published in: Journal of Scientific Computing
publication date: 1995-06-08T00:00:00Z
review text: The stability of numerical schemes produced by Fourier collocation approximation of the evolutionary two-dimensional Burgers equation is discussed. Estimates in \(H^1(\Omega)\) norm show that collocation techniques do not yield instability if the resolution is fine enough.
reviewed by: Roumen Anguelov
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 762047
zbMATH Keywords: stability
zbMATH Keywords: Fourier collocation
zbMATH Keywords: Burgers equation
MaRDI profile type: Publication
cites work: An implicit/explicit spectral method for Burgers' equation
cites work: Q3999652
cites work: Q5630031
cites work: Q3735023
cites work: Stability of the Fourier Method
cites work: Infinite-dimensional dynamical systems in mechanics and physics
full work available at URL: https://doi.org/10.1007/bf01575100
OpenAlex ID: W2039537680
description: scientific article; zbMATH DE number 762047