Explicit Lie-Poisson integration and the Euler equations.
Explicit Lie-Poisson integration and the Euler equations.
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DOI：
10.1103/physrevlett.71.3043
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发表时间：
1993-04
影响因子：
8.6
通讯作者：
R. McLachlan
中科院分区：
文献类型：
--
作者：
R. McLachlan
我们给出了一类广泛的Lie-Poisson系统，对于这些系统，可以构造保持所有Casimir的显式Lie-Poisson积分器。积分器非常简单，具有广泛的适用性。例如，自由刚体，矩截断，以及二维欧拉方程的正弦括号截断的一种新的快速算法。
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.