Stability analysis of difference schemes by catastrophe theory methods
type: Item
instance of: scholarly article
title: Stability analysis of difference schemes by catastrophe theory methods
zbMATH Open document ID: 0777.65057
DOI: 10.1016/0377-0427(92)90050-8
published in: Journal of Computational and Applied Mathematics
publication date: 1993-05-16T00:00:00Z
review text: The authors propose to use the methods of catastrophe theory for the stability analysis of difference schemes. The efficiency of this approach is shown and new results of stability of a well-known difference scheme are presented.
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M06
zbMATH DE Number: 166560
zbMATH Keywords: Fourier method
zbMATH Keywords: Cauchy problem
zbMATH Keywords: domains of instability
zbMATH Keywords: stability domain
zbMATH Keywords: methods of catastrophe theory
zbMATH Keywords: stability
zbMATH Keywords: difference schemes
author: Boris Yu. Scobelev
author: Evgenij Vorozhtsov
reviewed by: Vladimir L. Makarov
MaRDI profile type: Publication
full work available at URL: 0377-0427(92)90050-8
OpenAlex ID: W2155896946
cites work: Q3317773
cites work: The stability analysis of difference schemes by numerical solution of the generalized Routh-Hurwitz problem
cites work: The stability of explicit Euler time-integration for certain finite difference approximations of the multi-dimensional advection-diffusion equation
cites work: Q4065382
cites work: Q5628182
cites work: Q4550815
cites work: Q3661107
cites work: Q4160117
cites work: Q5536978
cites work: An invariant finite-dimensional approximation to the Navier-Stokes equations and self-excited oscillatory modes of Poiseuille flow
cites work: Q5753548
cites work: Q3323137
description: scientific article; zbMATH DE number 166560