Explicit Lie-Poisson integration and the Euler equations

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.

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

References in corpus (1)

• A finite model of two-dimensional ideal hydrodynamics

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