Linearization-preserving self-adjoint and symplectic integrators

doi:10.1007/s10543-009-0214-3

CSpace

	Linearization-preserving self-adjoint and symplectic integrators
	McLachlan, R. I.1; Quispel, G. R. W.2; Tse, P. S. P.3
	2009-03-01
发表期刊	BIT NUMERICAL MATHEMATICS
ISSN	0006-3835
卷号	49 期号:1 页码:177-197
摘要	This article is concerned with geometric integrators which are linearization-preserving, i.e. numerical integrators which preserve the exact linearization at every fixed point of an arbitrary system of ODEs. For a canonical Hamiltonian system, we propose a new symplectic and self-adjoint B-series method which is also linearization-preserving. In a similar fashion, we show that it is possible to construct a self-adjoint and linearization-preserving B-series method for an arbitrary system of ODEs. Some numerical experiments on Hamiltonian ODEs are presented to test the behaviour of both proposed methods.
关键词	Hamiltonian systems Linearization-preserving methods Symplectic integrators
DOI	10.1007/s10543-009-0214-3
语种	英语
资助项目	Australian Research Council ; Marsden Fund of the Royal Society of New Zealand
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Software Engineering ; Mathematics, Applied
WOS记录号	WOS:000263890000010
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7331
专题	中国科学院数学与系统科学研究院
通讯作者	Tse, P. S. P.
作者单位	1.Massey Univ, IFS, Palmerston North, New Zealand 2.La Trobe Univ, Ctr Excellence Math & Stat Complex Syst, Dept Math, Melbourne, Vic 3086, Australia 3.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	McLachlan, R. I.,Quispel, G. R. W.,Tse, P. S. P.. Linearization-preserving self-adjoint and symplectic integrators[J]. BIT NUMERICAL MATHEMATICS,2009,49(1):177-197.
APA	McLachlan, R. I.,Quispel, G. R. W.,&Tse, P. S. P..(2009).Linearization-preserving self-adjoint and symplectic integrators.BIT NUMERICAL MATHEMATICS,49(1),177-197.
MLA	McLachlan, R. I.,et al."Linearization-preserving self-adjoint and symplectic integrators".BIT NUMERICAL MATHEMATICS 49.1(2009):177-197.