In this paper, we construct an integrator that converves volume in phase space. We compare the results obtained using this method and a symplectic integrator. The results of our experiments do not reveal any superiority of the symplectic over strictly volume-preserving integrators. We also investiga
Symplectic integrators and the conservation of angular momentum
โ Scribed by Mei-Qing Zhang; Robert D. Skeel
- Publisher
- John Wiley and Sons
- Year
- 1995
- Tongue
- English
- Weight
- 286 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0192-8651
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โฆ Synopsis
In this article we observe that generally symplectic integrators conserve angular momentum exactly, whereas nonsymplectic integrators do not. We show that this observation extends to multiple timesteps and to constrained dynamics. Both of these devices are important for efficient molecular dynamics simulations.
๐ SIMILAR VOLUMES
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In this paper the numerical integration of integrable Hamiltonian systems is considered. Symplectic one-step methods are used. The discrete system is shown to be integrable up to a remainder which is exponentially small with respect to the step size of the one-step method. As a consequence it is sho
We consider a dissipative perturbation of an integrable Hamiltonian system. The perturbed system is assumed to admit a weakly attractive invariant torus. The system is integrated with a symplectic integrator. The discrete system also admits an attractive invariant torus for sufficiently small step-s