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A Note on Construction of Higher-Order Symplectic Schemes from Lower-Order One via Formal Energies

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