A Note on Construction of Higher-Order Symplectic Schemes from Lower-Order One via Formal Energies
Year: 1999
Author: Yi-Fa Tang
Journal of Computational Mathematics, Vol. 17 (1999), Iss. 6 : pp. 561–568
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1999-JCM-9126
Journal of Computational Mathematics, Vol. 17 (1999), Iss. 6 : pp. 561–568
Published online: 1999-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Hamiltonian system Symplectic scheme Revertible scheme Generating function Formal energy.
Author Details
Yi-Fa Tang Email