| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4646396 | Applied Numerical Mathematics | 2006 | 9 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
