Long-term numerical simulation of the interaction between a neutron field and a neutral meson field by a symplectic-preserving scheme

doi:10.1088/1751-8113/41/25/255207

	Long-term numerical simulation of the interaction between a neutron field and a neutral meson field by a symplectic-preserving scheme
	Kong, Linghua 1; Hong, Jialin2 ; Liu, Ruxun 3
	2008-06-27
发表期刊	JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
ISSN	1751-8113
卷号	41 期号:25 页码:19
摘要	In this paper, we propose a family of symplectic structure-preserving numerical methods for the coupled Klein-Gordon-Schrodinger (KGS) system. The Hamiltonian formulation is constructed for the KGS. We discretize the Hamiltonian system in space first with a family of canonical difference methods which convert an infinite-dimensional Hamiltonian system into a finite-dimensional one. Next, we discretize the finite-dimensional system in time by a midpoint rule which preserves the symplectic structure of the original system. The conservation laws of the schemes are analyzed in succession, including the charge conservation law and the residual of energy conservation law, etc. We analyze the truncation errors and global errors of the numerical solutions for the schemes to end the theoretical analysis. Extensive numerical tests show the accordance between the theoretical and numerical results.
DOI	10.1088/1751-8113/41/25/255207
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000256693900013
出版者	IOP PUBLISHING LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6494
专题	计算数学与科学工程计算研究所
通讯作者	Kong, Linghua
作者单位	1.Jiangxi Normal Univ, Sch Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China 3.Univ Sci & Technol China, Dept Math, Anhua 230026, Peoples R China
推荐引用方式 GB/T 7714	Kong, Linghua,Hong, Jialin,Liu, Ruxun. Long-term numerical simulation of the interaction between a neutron field and a neutral meson field by a symplectic-preserving scheme[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,2008,41(25):19.
APA	Kong, Linghua,Hong, Jialin,&Liu, Ruxun.(2008).Long-term numerical simulation of the interaction between a neutron field and a neutral meson field by a symplectic-preserving scheme.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,41(25),19.
MLA	Kong, Linghua,et al."Long-term numerical simulation of the interaction between a neutron field and a neutral meson field by a symplectic-preserving scheme".JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 41.25(2008):19.