Fourth-order difference methods for hyperbolic IBVPs
type: Item
instance of: scholarly article
title: Fourth-order difference methods for hyperbolic IBVPs
zbMATH Open document ID: 0823.65083
author: Bertil Gustafsson
author: Pelle Olsson
published in: Journal of Computational Physics
publication date: 1995-10-24T00:00:00Z
full work available at URL: http://hdl.handle.net/2060/19950017128
review text: This paper deals with explicit and implicit fourth-order difference approximations of initial-boundary value problems (IBVPs) for hyperbolic partial differential equations. The method of lines, energy estimations and the Laplace transform technique are used. A complete stability theory for the implicit fourth-order approximation is presented. The theoretical properties are verified through a number of numerical experiments. The results show that the fourth-order methods are more efficient than the standard second-order one.
reviewed by: Rudolf Scherer
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35L15
zbMATH DE Number: 758605
zbMATH Keywords: difference methods
zbMATH Keywords: explicit and implicit fourth-order difference approximations
zbMATH Keywords: initial-boundary value problems
zbMATH Keywords: hyperbolic
zbMATH Keywords: method of lines
zbMATH Keywords: energy estimations
zbMATH Keywords: Laplace transform technique
zbMATH Keywords: stability
zbMATH Keywords: numerical experiments
MaRDI profile type: Publication
OpenAlex ID: W2042726720
DOI: 10.1006/JCPH.1995.1068
description: scientific article; zbMATH DE number 758605