Poisson integrators for Lie-Poisson structures on R3

被引：0

作者：

Song, Lina ^{[1
,2
]}

机构：

[1] Jilin Univ, Dept Math, Changchun 130012, Peoples R China

[2] La Trobe Univ, Dept Math, Bundoora, Vic 3086, Australia

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2011年 / 44卷 / 15期

基金：

澳大利亚研究理事会;

关键词：

EQUATIONS; MANIFOLDS; SYSTEMS;

D O I：

10.1088/1751-8113/44/15/155204

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper is concerned with the study of Poisson integrators. We are interested in Lie-Poisson systems on R-3. First, we focus on Poisson integrators for constant Poisson systems and the transformations used for transforming Lie-Poisson structures to constant Poisson structures. Then, we construct local Poisson integrators for Lie-Poisson systems on R-3. Finally, we present the results of numerical experiments for two Lie-Poisson systems and compare our Poisson integrators with other known methods.

引用

页数：14

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