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A note on construction of higher-order symplectic schemes from lower-order one via formal energies
Tang, YF
1999-11-01
Source PublicationJOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN0254-9409
Volume17Issue:6Pages:561-568
AbstractIn this paper, we will prove by the help of formal energies only that one can improve the order of any symplectic scheme by modifying the Hamiltonian symbol H, and show through examples that this action exactly and directly simplifies Feng's way of construction of higher-order symplectic schemes by using higher-order terms of generating functions.
KeywordHamiltonian system symplectic scheme revertible scheme generating function formal energy
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000083884400001
PublisherVSP BV
Citation statistics
Cited Times:4[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/14133
Collection中国科学院数学与系统科学研究院
AffiliationAcad Sinica, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China
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GB/T 7714
Tang, YF. A note on construction of higher-order symplectic schemes from lower-order one via formal energies[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,1999,17(6):561-568.
APA Tang, YF.(1999).A note on construction of higher-order symplectic schemes from lower-order one via formal energies.JOURNAL OF COMPUTATIONAL MATHEMATICS,17(6),561-568.
MLA Tang, YF."A note on construction of higher-order symplectic schemes from lower-order one via formal energies".JOURNAL OF COMPUTATIONAL MATHEMATICS 17.6(1999):561-568.
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