Symmetric multistep methods over long times
type: Item
instance of: scholarly article
title: Symmetric multistep methods over long times
zbMATH Open document ID: 1060.65074
author: Ernst Hairer
author: Christian Lubich
published in: Numerische Mathematik
publication date: 2004-12-13T00:00:00Z
full work available at URL: unige:12123
review text: The authors provide a theoretical explanation of the empirically observed excellent long time behaviour of symmetric multistep methods in the numerical integration of Newtonian equations of motion. The main tool is a backward error analysis based on modified differential equations. It allows in particular for the derivation of long time bounds for parasitic solution components. Special attention is given to the conservation of energy and angular momentum.
reviewed by: Werner M. Seiler
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65P10
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 70E15
Mathematics Subject Classification ID: 37M15
Mathematics Subject Classification ID: 65L05
zbMATH DE Number: 2121823
zbMATH Keywords: symmetric multistep method
zbMATH Keywords: long time behaviour
zbMATH Keywords: modified equation
zbMATH Keywords: backward error analysis
zbMATH Keywords: Newtonian equations of motion
zbMATH Keywords: parasitic solution
MaRDI profile type: Publication
OpenAlex ID: W1992513039
DOI: 10.1007/S00211-004-0520-2
description: scientific article; zbMATH DE number 2121823