INTEGRATORS FOR LIE-POISSON DYNAMIC-SYSTEMS

被引：51
|
作者：
CHANNELL, PJ [1 ]
SCOVEL, JC [1 ]
机构：
[1] UNIV CALIF LOS ALAMOS SCI LAB,COMP RES GRP,LOS ALAMOS,NM 87545
来源：
PHYSICA D | 1991年 / 50卷 / 01期
关键词：
D O I：
10.1016/0167-2789(91)90081-J
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We reformulate the Ge-Marsden (1988) Lie-Poisson integration algorithm in terms of algebra variables alone and show how to implement it for regular quadratic Lie algebras to arbitrary order and for arbitrary Lie algebras to first order. We also describe two generalizations of Ruth's method (1983) that can be used to generate very fast algorithms.
引用
收藏
页码：80 / 88
页数：9
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