On the Existence of Energy-Preserving Symplectic Integrators Based upon Gauss Collocation Formulae — mentioned by T-A

Sun, 31 Mar 2019 08:32:58 GMT

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

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On the Existence of Energy-Preserving Symplectic Integrators Based upon Gauss Collocation Formulae · HackerPapers discussions

On the Existence of Energy-Preserving Symplectic Integrators Based upon Gauss Collocation Formulae — mentioned by T-A