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Locally exact modifications of discrete gradient schemes
Published 24 Apr 2013 in physics.comp-ph, cs.NA, and math.NA | (1304.6533v1)
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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