On stabilization of energy for Hamiltonian systems Original Research Article

We study post-stabilization of numerical integrators for an autonomous Hamiltonian system in the form image, where image and image are two constants of motion. It is better to stabilize the two energies image and image, respectively. As a particular case, the effectiveness of post-stabilization by the total energy is equivalent to one by the two independent energies when the splitting Hamiltonian becomes isotropic.