Explicit Lie-Poisson integration and the Euler equations

Preprint

28 April 1993

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.chao-dyn/9304011

Abstract

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.

Keywords

LIE POISSON INTEGRATORS
POISSON INTEGRATION
EULER EQUATIONS
EXPLICIT LIE
TRUNCATION
ALGORITHM

All Related Versions

Version 1, 1993-04-28, ArXiv
Published version: Physical Review Letters, 71 (19), 3043.

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