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Symplectic wavelet collocation method for Hamiltonian wave equations

文献类型：期刊论文

作者Zhu, Huajun1; Tang, Lingyan1; Song, Songhe1; Tang, Yifa2; Wang, Desheng3
刊名JOURNAL OF COMPUTATIONAL PHYSICS
出版日期2010-04-01
卷号229期号:7页码:2550-2572
关键词Wavelet collocation Symplectic scheme Hamiltonian system
ISSN号0021-9991
DOI10.1016/j.jcp.2009.11.042
英文摘要This paper introduces a novel symplectic wavelet collocation method for solving nonlinear Hamiltonian wave equations. Based on the autocorrelation functions of Daubechies compactly supported scaling functions, collocation method is conducted for the spatial discretization, which leads to a finite-dimensional Hamiltonian system Then, appropriate symplectic scheme is employed for the integration of the Hamiltonian system. Under the hypothesis of periodicity, the properties of the resulted space differentiation matrix are analyzed in detail Conservation of energy and momentum is also investigated. Various numerical experiments show the effectiveness of the proposed method. (C) 2009 Elsevier Inc All rights reserved.
资助项目Natural Science Foundation of China[10471145] ; Natural Science Foundation of China[10971226] ; Natural Science Foundation of China[10672143] ; Natural Science Foundation of China[10872037] ; Singapore AcRF[RG59/08 M52110092] ; Singapore NRF[2007IDM IDM002-010]
WOS研究方向Computer Science ; Physics
语种英语
WOS记录号WOS:000274928300009
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/9428]  
专题计算数学与科学工程计算研究所
通讯作者Zhu, Huajun
作者单位1.Natl Univ Def Technol, Sch Sci, Dept Syst Sci & Math, Changsha 410073, Hunan, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
3.Nanyang Technol Univ, Sch Math & Phys Sci, Div Math Sci, Singapore 637371, Singapore
推荐引用方式
GB/T 7714		 Zhu, Huajun,Tang, Lingyan,Song, Songhe,et al. Symplectic wavelet collocation method for Hamiltonian wave equations[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2010,229(7):2550-2572.
APA Zhu, Huajun,Tang, Lingyan,Song, Songhe,Tang, Yifa,&Wang, Desheng.(2010).Symplectic wavelet collocation method for Hamiltonian wave equations.JOURNAL OF COMPUTATIONAL PHYSICS,229(7),2550-2572.
MLA Zhu, Huajun,et al."Symplectic wavelet collocation method for Hamiltonian wave equations".JOURNAL OF COMPUTATIONAL PHYSICS 229.7(2010):2550-2572.

入库方式： OAI收割

来源：数学与系统科学研究院

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