Existence of formal integrals of symplectic integrators |
| |
| Authors: | Xinhao Liao Lin Liu |
| |
| Institution: | (1) Astronomy Department, Nanjing University, 210008 Nanjing, China |
| |
| Abstract: | A recurrent method of solving the formal integrals of symplectic integrators is given. The special examples show that there are no long-term variations in all integrals of the Hamiltonian system in addition to the energy one when symplectic integrators are used in the numerical studies of the system. As an application of the formal integrals, the relation between them and the linear stability of symplectic integrators is discussed. |
| |
| Keywords: | Hamiltonian system symplectic integrator formal integral linear stability |
| 本文献已被 SpringerLink 等数据库收录！ |
