Explicit Lie-Poisson integration and the Euler equations
chao-dyn
2009-10-22 v1 comp-gas
混沌动力学
元胞自动机与格子气
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. Examples are the rigid body, a moment truncation, and a new, fast algorithm for the sine-bracket truncation of the 2D Euler equations.
引用
@article{arxiv.chao-dyn/9304011,
title = {Explicit Lie-Poisson integration and the Euler equations},
author = {Robert I. McLachlan},
journal= {arXiv preprint arXiv:chao-dyn/9304011},
year = {2009}
}
备注
7 pages, compile with AMSTEX; 2 figures available from author