Higher Order Symplectic Methods Based on the Modified Vector Fields

摘要

The higher-order, structure-preserving numerical integrators based on the modified vector fields (backward error analysis) are used to construct discretizations of separable systems. This new approach is called as modifying integrators. As an example of modifying integrator Lobatto III-A and III-B are chosen. These new efficient higher-order numerical integrators are applied to the separable Hamiltonian equations.