Stability and accuracy for implicit semidiscretizations of hyperbolic problems
type: Item
instance of: scholarly article
title: Stability and accuracy for implicit semidiscretizations of hyperbolic problems
zbMATH Open document ID: 0609.65063
DOI: 10.1007/BF01389870
published in: Numerische Mathematik
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133066
review text: The author uses the order star technique to derive the bounds for the error constants of certain classes of stable implicit finite difference methods for first order hyperbolic equations in one space dimension. In some cases, the previously known results concerning the error constant of interpolatory methods are improved. The results obtained in the first part of the paper are used to determine methods of optimal order that are stable.
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35L45
Mathematics Subject Classification ID: 35L65
zbMATH DE Number: 3986569
zbMATH Keywords: order star technique
zbMATH Keywords: implicit finite difference methods
zbMATH Keywords: error constant
zbMATH Keywords: optimal order
author: Klaus-Guenther Strack
reviewed by: Muhammad Aslam Noor
MaRDI profile type: Publication
cites work: One-Sided Difference Approximations for Nonlinear Conservation Laws
cites work: Q5719651
cites work: Order Stars and a Saturation Theorem for First-order Hyperbolics
cites work: Order Stars, Approximations and Finite Differences I. The General Theory of Order Stars
cites work: The Optimal Accuracy of Difference Schemes
cites work: Stability and Accuracy of Semi-discretized Finite Difference Methods
cites work: Stability and accuracy of difference schemes for hyperbolic problems
cites work: Accuracy Bounds for Semidiscretizations of Hyperbolic Problems
cites work: Order stars and stability theorems
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description: scientific article; zbMATH DE number 3986569