Symplectic Error of Implicit Symplectic Integrators: A Qualitative Structural Analysis

Matěj Gajdoš, Ondřej Brichta, Václav Kučera

We study how inexact nonlinear solvers lead to a loss of exact symplecticity in the Symplectic Euler (SE) and Stormer-Verlet (SV) schemes when applied to general nonseparable Hamil…