EXPLICIT LIE-POISSON INTEGRATION AND THE EULER EQUATIONS

被引：94

作者：

MCLACHLAN, RI

机构：

[1] Program in Applied Mathematics, Campus Box 526, University of Colorado at Boulder, Boulder

来源：

PHYSICAL REVIEW LETTERS | 1993年 / 71卷 / 19期

关键词：

D O I：

10.1103/PhysRevLett.71.3043

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We give a wide class of Lie-Poisson systems for which explicit, Lie-Poisson integrators, preserving all Casimirs, can be constructed. The integrators are extremely simple and have widespread applicability. Examples are the free rigid body, a moment truncation, and a new, fast algorithm for the sine-bracket truncation of the 2D Euler equations.

引用

页码：3043 / 3046

页数：4

共 20 条

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