The rate of error growth in Hamiltonian-conserving integrators
type: Item
instance of: scholarly article
title: The rate of error growth in Hamiltonian-conserving integrators
zbMATH Open document ID: 0826.65071
DOI: 10.1007/BF01003559
author: A. M. Stuart
author: D. Estep
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1995-08-10T00:00:00Z
review text: Hamiltonian-conserving numerical schemes are considered. It is shown that the rate of error-growth is at most linear in time when such methods are applied to problems whose period is uniquely determined by the value of the Hamiltonian. Pointing out that the rate of error growth for symplectic integrators is also asymptotically linear, the authors conclude that the Hamiltonian-conserving schemes are competitive in this respect. However, the relative merits of these two types of integrators should be judged from various aspects.
reviewed by: F. Zhang
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L70
Mathematics Subject Classification ID: 70H05
Mathematics Subject Classification ID: 37J99
zbMATH DE Number: 777684
zbMATH Keywords: Hamiltonian-conserving integrators
zbMATH Keywords: error bound
zbMATH Keywords: Hamiltonian
zbMATH Keywords: rate of error growth
zbMATH Keywords: symplectic integrators
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 777684