Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
173 tokens/sec
GPT-4o
7 tokens/sec
Gemini 2.5 Pro Pro
46 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

Collective Lie-Poisson integrators on $\mathbf{R}^{3}$ (1307.2387v2)

Published 9 Jul 2013 in math.NA, math-ph, math.MP, and math.SG

Abstract: We develop Lie-Poisson integrators for general Hamiltonian systems on $\mathbf{R}{3}$ equipped with the rigid body bracket. The method uses symplectic realisation of $\mathbf{R}{3}$ on $T{*}\mathbf{R}{2}$ and application of symplectic Runge-Kutta schemes. As a side product, we obtain simple symplectic integrators for general Hamiltonian systems on the sphere $S{2}$.

Summary

We haven't generated a summary for this paper yet.