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Long-term numerical simulation of the interaction between a neutron field and a neutral meson field by a symplectic-preserving scheme
Kong, Linghua1; Hong, Jialin2; Liu, Ruxun3
2008-06-27
Source PublicationJOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
ISSN1751-8113
Volume41Issue:25Pages:19
AbstractIn 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.
DOI10.1088/1751-8113/41/25/255207
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary ; Physics, Mathematical
WOS IDWOS:000256693900013
PublisherIOP PUBLISHING LTD
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/6494
Collection计算数学与科学工程计算研究所
Corresponding AuthorKong, Linghua
Affiliation1.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
Recommended Citation
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.
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