Poisson integrators
可精确求解与可积系统
2007-05-23 v1
摘要
An overview of Hamiltonian systems with noncanonical Poisson structures is given. Examples of bi-Hamiltonian ode's, pde's and lattice equations are presented. Numerical integrators using generating functions, Hamiltonian splitting, symplectic Runge-Kutta methods are discussed for Lie-Poisson systems and Hamiltonian systems with a general Poisson structure. Nambu-Poisson systems and the discrete gradient methods are also presented.
引用
@article{arxiv.nlin/0505037,
title = {Poisson integrators},
author = {B. Karasözen},
journal= {arXiv preprint arXiv:nlin/0505037},
year = {2007}
}
备注
30 pages