On the stability definition of difference approximations for the initial boundary value problem
type: Item
instance of: scholarly article
title: On the stability definition of difference approximations for the initial boundary value problem
zbMATH Open document ID: 0782.65119
DOI: 10.1016/0168-9274(93)90119-C
author: Lixin Wu
author: Heinz-Otto Kreiss
published in: Applied Numerical Mathematics
publication date: 1994-02-28T00:00:00Z
review text: Für Cauchysche Anfangswertprobleme (bzw. Anfangsrandwertprobleme) wird eine geeignete Definition für ``sachgemäß gestellt'' eingeführt und eine hierzu notwendige algebraische Bedingung hergeleitet. Ausgehend von dieser Bedingung wird ein neuer Stabilitätsbegriff für Differenzenapproximationen diskutiert. Es wird bewiesen, daß aus der Stabilität der Semidiskretisierungen diejenige der Volldiskretisierungen folgt.
reviewed by: K.Finck von Finckenstein
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M06
zbMATH DE Number: 205166
zbMATH Keywords: difference methods
zbMATH Keywords: method of lines
zbMATH Keywords: well-posed problem
zbMATH Keywords: semidiscretization
MaRDI profile type: Publication
cites work: Theorem on matrices depending on parameters and its applications to hyperbolic systems
cites work: Q5527992
cites work: Initial boundary value problems for hyperbolic systems
cites work: Central difference schemes and stiff boundary value problems
cites work: Method of Lines for Hyperbolic Differential Equations
cites work: The Semigroup Stability of the Difference Approximations for Initial- Boundary Value Problems
cites work: On resolvent conditions and stability estimates
cites work: L2 is a continuable initial condition for kreiss' mixed problems
cites work: Lax-stability of fully discrete spectral methods via stability regions and pseudo-eigenvalues
cites work: Sur le système hyperbolique à coefficients constants
full work available at URL: 0168-9274(93)90119-c
OpenAlex ID: W2094038742
description: scientific article; zbMATH DE number 205166