Does variable step size ruin a symplectic integrator
暂无分享,去创建一个
Abstract There exist methods that preserve the symplectic invariants of Hamiltonian systems when fixed step size is used. It is proved that the most simple-minded version of this property is lost if the step size is varied.
[1] C. W. Gear,et al. Invariants and numerical methods for ODEs , 1992 .
[2] Mari Paz Calvo,et al. The Development of Variable-Step Symplectic Integrators, with Application to the Two-Body Problem , 1993, SIAM J. Sci. Comput..