The whole point of symplectic integrators is that they guarantee energy conservation (when applied to Hamiltonian systems). It takes some work (random example f

The whole point of symplectic integrators is that they guarantee energy conservation (when applied to Hamiltonian systems). It takes some work (random example found by quick googling: [1]) which may not be deemed necessary if the drift produced by a naïve implementation is already small, but an insurmountable obstacle it is not. [1] https://arxiv.org/abs/1005.1930 https://arxiv.org/abs/1005.1930