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