Explicit Lie-Poisson integration and the Euler equations

Details Explicit Lie-Poisson integration and the Euler equations Explicit Lie-Poisson integration and the Euler equations

1993-04-28

arxiv.org/abs/chao-dyn/9304011v1

Nonlinear Sciences

Chaotic Dynamics

7 pages, compile with AMSTEX; 2 figures available from author

Scientific paper

10.1103/PhysRevLett.71.3043

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.

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