Locally exact modifications of discrete gradient schemes
arXiv:1304.6533 · doi:10.1016/j.physleta.2013.01.005
Abstract
Locally exact integrators preserve linearization of the original system at every point. We construct energy-preserving locally exact discrete gradient schemes for arbitrary multidimensional canonical Hamiltonian systems by modifying classical discrete gradient schemes. Modifications of this kind are found for any discrete gradient.
16 pages plus 4 figures
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