Structure-preserving algorithms for Birkhoffian systems

doi:10.1016/j.physleta.2004.01.015

	Structure-preserving algorithms for Birkhoffian systems
	Sun, YJ; Shang, ZJ
	2005-03-14
发表期刊	PHYSICS LETTERS A
ISSN	0375-9601
卷号	336 期号:4-5 页码:358-369
摘要	Generating function representations of the solution mappings of Birkhoffian systems are studied. On the basis of the representations, numerical algorithms which preserve the Birkhoffian symplectic structure of Birkhoffian systems are constructed. A backward error analysis for Birkhoffian-structure-preserving algorithms is presented. Some numerical experiments for the oscillator system show that the new algorithms can simulate the energy dissipation better than the implicit mid-point rule which is well known to be symplectic for Hamiltonian systems of canonical form and does not preserve the Birkhoffian symplectic structure of the damped oscillator system. (C) 2005 Elsevier B.V. All rights reserved.
关键词	Birkhoffian system Birkhoffian-symplectic form generating function
DOI	10.1016/j.physleta.2004.01.015
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000227361300012
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2328
专题	计算数学与科学工程计算研究所
通讯作者	Sun, YJ
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Sun, YJ,Shang, ZJ. Structure-preserving algorithms for Birkhoffian systems[J]. PHYSICS LETTERS A,2005,336(4-5):358-369.
APA	Sun, YJ,&Shang, ZJ.(2005).Structure-preserving algorithms for Birkhoffian systems.PHYSICS LETTERS A,336(4-5),358-369.
MLA	Sun, YJ,et al."Structure-preserving algorithms for Birkhoffian systems".PHYSICS LETTERS A 336.4-5(2005):358-369.