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On preference of Yoshida construction over Forest-Ruth fourth-order symplectic algorithm
Mei, Lijie1; Wu, Xin1,2; Liu, Fuyao3
2013-05-01
Source PublicationEUROPEAN PHYSICAL JOURNAL C
ISSN1434-6044
Volume73Issue:5Pages:2413
Corresponding AuthorMei, LJ (reprint author), Nanchang Univ, Sch Sci, Nanchang 330031, Peoples R China. Email: xwu@ncu.edu.cn
AbstractThe Forest-Ruth fourth-order symplectic algorithm is identical to the Yoshida triplet construction when all component integrators of both algorithms are exactly known. However, this equality no longer holds in general when some or all of the components are inexact and when they are second-order with odd-order error structures. The former algorithm is only second-order accurate in most cases, whereas the latter can be fourth-order accurate. These analytical results are supported by numerical simulations of partially separable but globally inseparable Hamiltonian systems, such as the post-Newtonian Hamiltonian formulation of spinless compact binaries. Therefore, the Yoshida construction has intrinsic merit over the concatenated Forest-Ruth algorithm when inexact component integrators are used.
Subject AreaPhysics
WOS HeadingsScience & Technology ; Physical Sciences
DOI10.1140/epjc/s10052-013-2413-y
WOS KeywordINTEGRATORS
Indexed BySCI
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Particles & Fields
WOS IDWOS:000319518900004
Citation statistics
Document Type期刊论文
Identifierhttp://libir.pmo.ac.cn/handle/332002/9813
Collection空间目标与碎片观测研究基地
Affiliation1.Nanchang Univ, Sch Sci, Nanchang 330031, Peoples R China
2.Chinese Acad Sci, Purple Mt Observ, Nanjing 210008, Jiangsu, Peoples R China
3.Shanghai Lixin Univ Commerce, Sch Math & Informat, Shanghai 201600, Peoples R China
Recommended Citation
GB/T 7714
Mei, Lijie,Wu, Xin,Liu, Fuyao. On preference of Yoshida construction over Forest-Ruth fourth-order symplectic algorithm[J]. EUROPEAN PHYSICAL JOURNAL C,2013,73(5):2413.
APA Mei, Lijie,Wu, Xin,&Liu, Fuyao.(2013).On preference of Yoshida construction over Forest-Ruth fourth-order symplectic algorithm.EUROPEAN PHYSICAL JOURNAL C,73(5),2413.
MLA Mei, Lijie,et al."On preference of Yoshida construction over Forest-Ruth fourth-order symplectic algorithm".EUROPEAN PHYSICAL JOURNAL C 73.5(2013):2413.
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