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Multi-symplectic Runge-Kutta methods for nonlinear dirac equations

文献类型：期刊论文

作者Hong, JL; Li, C
刊名JOURNAL OF COMPUTATIONAL PHYSICS
出版日期2006-01-20
卷号211期号:2页码:448-472
关键词multi-symplectic Runge-Kutta methods conservation laws nonlinear dirac equations
ISSN号0021-9991
DOI10.1016/j.jcp.2005.06.001
英文摘要In this paper, we consider the multi-symplectic Runge-Kutta (MSRK) methods applied to the nonlinear Dirac equation in relativistic quantum physics, based on a discovery of the multi-symplecticity of the equation. In particular, the conservation of energy, momentum and charge under MSRK discretizations is investigated by means of numerical experiments and numerical comparisons with non-MSRK methods. Numerical experiments presented reveal that MSRK methods applied to the nonlinear Dirac equation preserve exactly conservation laws of charge and momentum, and conserve the energy conservation in the corresponding numerical accuracy to the method utilized. It is verified numerically that MSRK methods are stable and convergent with respect to the conservation laws of energy, momentum and charge, and MSRK methods preserve not only the inner geometric structure of the equation, but also some crucial conservative properties in quantum physics. A remarkable advantage of MSRK methods applied to the nonlinear Dirac equation is the precise preservation of charge conservation law. (c) 2005 Elsevier Inc. All rights reserved.
WOS研究方向Computer Science ; Physics
语种英语
WOS记录号WOS:000232736800004
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/3164]  
专题计算数学与科学工程计算研究所
通讯作者Hong, JL
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China
2.Chinese Acad Sci, Grad Sch, Beijing 100080, Peoples R China
推荐引用方式
GB/T 7714		 Hong, JL,Li, C. Multi-symplectic Runge-Kutta methods for nonlinear dirac equations[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2006,211(2):448-472.
APA Hong, JL,&Li, C.(2006).Multi-symplectic Runge-Kutta methods for nonlinear dirac equations.JOURNAL OF COMPUTATIONAL PHYSICS,211(2),448-472.
MLA Hong, JL,et al."Multi-symplectic Runge-Kutta methods for nonlinear dirac equations".JOURNAL OF COMPUTATIONAL PHYSICS 211.2(2006):448-472.

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来源：数学与系统科学研究院

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