Dangers of multiple time step methods
type: Item
instance of: scholarly article
title: Dangers of multiple time step methods
zbMATH Open document ID: 0810.65075
author: Jeffrey J. Biesiadecki
author: Robert D. Skeel
published in: Journal of Computational Physics
publication date: 1994-05-10T00:00:00Z
review text: This paper discusses two potential dangers of multiple stepsize techniques for different interactions in molecular dynamics. In the first case, such techniques may not preserve the symplectic nature of the flow, so that for non-symplectic multiple time stepping instability or dissipation can occur. Secondly, symplectic methods can introduce an artificial resonance, although this resonance has only been identified for simple problems in which the stepsize is fixed for each interaction.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L50
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 566329
zbMATH Keywords: multiple stepsize techniques
zbMATH Keywords: molecular dynamics
zbMATH Keywords: instability
zbMATH Keywords: dissipation
zbMATH Keywords: symplectic methods
zbMATH Keywords: artificial resonance
reviewed by: Kevin Burrage
MaRDI profile type: Publication
full work available at URL: jcph.1993.1220
OpenAlex ID: W2067964076
DOI: 10.1006/JCPH.1993.1220
description: scientific article; zbMATH DE number 566329