Nonlinear stability and existence of stationary discrete travelling waves for the relaxing schemes
type: Item
instance of: scholarly article
title: Nonlinear stability and existence of stationary discrete travelling waves for the relaxing schemes
zbMATH Open document ID: 0934.65101
DOI: 10.1007/BF03167326
author: Tong Yang
author: Hailiang Liu
author: Jinghua Wang
published in: Japan Journal of Industrial and Applied Mathematics
publication date: 2000-04-03T00:00:00Z
review text: Existence and nonlinear stability of strong stationary discrete travelling waves are shown for explicit and implicit relaxation schemes. For the explicit scheme it is required that the ratio of the time step and the relaxation rate is bounded for proving the stability. For the implicit scheme there is no such restriction.
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M06
zbMATH DE Number: 1334275
zbMATH Keywords: nonlinear stability
zbMATH Keywords: stationary discrete travelling waves
zbMATH Keywords: relaxation schemes
reviewed by: Plamen Yalamov
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf03167326
OpenAlex ID: W2035540115
description: scientific article; zbMATH DE number 1334275