First Integrals of Discrete Hamiltonian Equations

被引：0

作者：

Kozlov, Roman ^{[1
]}

机构：

[1] Norwegian Sch Econ & Business Adm, Dept Finance & Management Sci, N-5045 Bergen, Norway

来源：

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS A-C | 2011年 / 1389卷

关键词：

Hamiltonian equations; first integrals; Lie point symmetries;

D O I：

10.1063/1.3636771

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we consider the relation between symmetries and first integrals for discrete Hamiltonian equations. We observe that canonical Hamiltonian equations can be obtained by variational principle from an action functional. A discrete analog of this property is used to define discrete Hamiltonian equations. Discrete Noether's theorem links symmetries and first integrals of discrete Hamiltonian equations. This relation can be used to conserve structural properties of Hamiltonian equations in numerical implementation.

引用

页数：4

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