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Multi-symplectic Birkhoffian structure for PDEs with dissipation terms

文献类型：期刊论文

作者Su, Hongling1; Qin, Mengzhao2; Wang, Yushun3; Scherer, Rudolf4
刊名PHYSICS LETTERS A
出版日期2010-05-17
卷号374期号:24页码:2410-2416
关键词Self-adjoint system PDEs with dissipation term Birkhoffian structure Birkhoffian multi-symplectic integrator Conservation of multi-symplecticity Discrete variational principle
ISSN号0375-9601
DOI10.1016/j.physleta.2010.04.011
英文摘要A generalization of the multi-symplectic form for Hamiltonian systems to self-adjoint systems with dissipation terms is studied. These systems can be expressed as multi-symplectic Birkhoffian equations, which leads to a natural definition of Birkhoffian multi-symplectic structure. The concept of Birkhoffian multi-symplectic integrators for Birkhoffian PDEs is investigated. The Birkhoffian multi-symplectic structure is constructed by the continuous variational principle, and the Birkhoffian multi-symplectic integrator by the discrete variational principle. As an example, two Birkhoffian multi-symplectic integrators for the equation describing a linear damped string are given. (C) 2010 Published by Elsevier B.V.
资助项目NSFC[10701081] ; NSFC[10871099] ; National 863 Plan of China[2006AA09A102-08] ; National Basic Research Program of China[2007CB209603]
WOS研究方向Physics
语种英语
WOS记录号WOS:000278284000003
出版者ELSEVIER SCIENCE BV
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/11152]  
专题中国科学院数学与系统科学研究院
通讯作者Su, Hongling
作者单位1.Renmin Univ China, Dept Math, Beijing 100872, Peoples R China
2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China
3.Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210097, Peoples R China
4.Karlsruhe Inst Technol, Inst Appl & Numer Math, D-76128 Karlsruhe, Germany
推荐引用方式
GB/T 7714		 Su, Hongling,Qin, Mengzhao,Wang, Yushun,et al. Multi-symplectic Birkhoffian structure for PDEs with dissipation terms[J]. PHYSICS LETTERS A,2010,374(24):2410-2416.
APA Su, Hongling,Qin, Mengzhao,Wang, Yushun,&Scherer, Rudolf.(2010).Multi-symplectic Birkhoffian structure for PDEs with dissipation terms.PHYSICS LETTERS A,374(24),2410-2416.
MLA Su, Hongling,et al."Multi-symplectic Birkhoffian structure for PDEs with dissipation terms".PHYSICS LETTERS A 374.24(2010):2410-2416.

入库方式： OAI收割

来源：数学与系统科学研究院

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