A note on construction of higher-order symplectic schemes from lower-order one via formal energies

CSpace

	A note on construction of higher-order symplectic schemes from lower-order one via formal energies
	Tang, YF
	1999-11-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	17 期号:6 页码:561-568
摘要	In 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.
关键词	Hamiltonian system symplectic scheme revertible scheme generating function formal energy
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000083884400001
出版者	VSP BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14133
专题	中国科学院数学与系统科学研究院
作者单位	Acad Sinica, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 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.