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	Globally conservative properties and error estimation of a multi-symplectic scheme for Schrodinger equations with variable coefficients
	Hong, JL ; Liu, Y ; Munthe-Kaas, H ; Zanna, A
	2010-05-06 ; 2010-05-06
关键词	Schrodinger equations conservation laws error estimation global energy transit multi-symplectic integrators NONLINEAR SCHROEDINGER EQUATION MULTISYMPLECTIC GEOMETRY HAMILTONIAN PDES SPLITTING METHODS TIME INTEGRATORS WAVES Mathematics, Applied
中文摘要	Based on the multi-symplecticity of the Schrodinger equations with variable coefficients, we give a multisymplectic numerical scheme, and investigate some conservative properties and error estimation of it. We show that the scheme satisfies discrete normal conservation law corresponding to one possessed by the original equation. and propose global energy transit formulae in temporal direction. We also discuss some discrete properties corresponding to energy conservation laws of the original equations. In numerical experiments, the comparisons with modified Goldberg scheme and Modified Crank-Nicolson scheme are given to illustrate some properties of the multi-symplectic scheme in the numerical implementation, and the global energy transit is monitored due to the scheme does not preserve energy conservation law. Our numerical experiments show the match between theoretical and corresponding numerical results. (c) 2005 IMACS. Published by Elsevier B.V. All rights reserved.
语种	英语 ; 英语
出版者	ELSEVIER SCIENCE BV ; AMSTERDAM ; PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/14069]
专题	清华大学
推荐引用方式 GB/T 7714	Hong, JL,Liu, Y,Munthe-Kaas, H,et al. Globally conservative properties and error estimation of a multi-symplectic scheme for Schrodinger equations with variable coefficients[J],2010, 2010.
APA	Hong, JL,Liu, Y,Munthe-Kaas, H,&Zanna, A.(2010).Globally conservative properties and error estimation of a multi-symplectic scheme for Schrodinger equations with variable coefficients..
MLA	Hong, JL,et al."Globally conservative properties and error estimation of a multi-symplectic scheme for Schrodinger equations with variable coefficients".(2010).

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