Locally exact modifications of discrete gradient schemes

Jan L. Cieśliński

doi:10.1016/j.physleta.2013.01.005

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arXiv · 1304.6533

Locally exact modifications of discrete gradient schemes

Jan L. Cieśliński

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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.

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Jan L. Cieśliński. 2013-04-24. Locally exact modifications of discrete gradient schemes. https://doi.org/10.1016/j.physleta.2013.01.005

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