3 ms·
it's an improvement (iirc, it makes the error-growth linear), but does not 'fix' the problem.
by toolslive 8y ago
it's an improvement (iirc, it makes the error-growth linear), but does not 'fix' the problem.
- T-A 8y agoThe 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
- vbuwivbiu 8y agoiirc for a limit cycle the error will be + or - over different intervals of the cycle but the sum of the error around the cycle will be zero