Poisson integrators for Volterra lattice equations
数值分析
2016-08-16 v1
摘要
The Volterra lattice equations are completely integrable and possess bi-Hamiltonian structure. They are integrated using partitioned Lobatto IIIA-B methods which preserve the Poisson structure. Modified equations are derived for the symplectic Euler and second order Lobatto IIIA-B method. Numerical results confirm preservation of the corresponding Hamiltonians, Casimirs, quadratic and cubic integrals in the long-term with different orders of accuracy.
引用
@article{arxiv.math/0505281,
title = {Poisson integrators for Volterra lattice equations},
author = {T. Ergenç and B. Karasözen},
journal= {arXiv preprint arXiv:math/0505281},
year = {2016}
}
备注
9 pages, 2 figures