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Linearization-preserving self-adjoint and symplectic integrators

文献类型：期刊论文

作者McLachlan, R. I.1; Quispel, G. R. W.2; Tse, P. S. P.3
刊名BIT NUMERICAL MATHEMATICS
出版日期2009-03-01
卷号49期号:1页码:177-197
关键词Hamiltonian systems Linearization-preserving methods Symplectic integrators
ISSN号0006-3835
DOI10.1007/s10543-009-0214-3
英文摘要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.
资助项目Australian Research Council ; Marsden Fund of the Royal Society of New Zealand
WOS研究方向Computer Science ; Mathematics
语种英语
WOS记录号WOS:000263890000010
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/7330]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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