Symplectic wavelet collocation method for Hamiltonian wave equations

doi:10.1016/j.jcp.2009.11.042

	Symplectic wavelet collocation method for Hamiltonian wave equations
	Zhu, Huajun 1; Tang, Lingyan 1; Song, Songhe 1; Tang, Yifa2 ; Wang, Desheng 3
	2010-04-01
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	229 期号:7 页码:2550-2572
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.
关键词	Wavelet collocation Symplectic scheme Hamiltonian system
DOI	10.1016/j.jcp.2009.11.042
语种	英语
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
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000274928300009
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9429
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.