An explicit energy-momentum conserving time-integration scheme for Hamiltonian dynamics

Abstract : We propose a new explicit energy-momentum conserving scheme for the time integration of Hamiltonian systems. The scheme, which is formally second-order accurate, is based on two key ideas: the integration during the time-steps of forces between free-flight particles and the use of momentum jumps at the discrete time nodes leading to a two-step formulation for the acceleration. Moreover, the scheme can be used in the framework of slow-fast strategies. The scheme is validated against classical benchmarks and on a nonlinear wave propagation problem.
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https://hal-enpc.archives-ouvertes.fr/hal-01661608
Contributeur : Frédéric Marazzato <>
Soumis le : vendredi 15 décembre 2017 - 13:51:20
Dernière modification le : lundi 15 avril 2019 - 18:08:01

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  • HAL Id : hal-01661608, version 2

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Frédéric Marazzato, Alexandre Ern, Christian Mariotti, Laurent Monasse. An explicit energy-momentum conserving time-integration scheme for Hamiltonian dynamics. 2017. ⟨hal-01661608v2⟩

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