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

Abstract : We propose a new explicit pseudo-energy and 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. The pseudo- energy conservation is established under exact force integration, whereas it is valid to second-order accuracy in the presence of quadrature errors. Moreover, we devise an asynchronous version of the scheme that can be used in the framework of slow-fast time-stepping strategies. The scheme is validated against classical benchmarks and on nonlinear or inhomogeneous wave propagation problems.
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Pré-publication, Document de travail
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https://hal-enpc.archives-ouvertes.fr/hal-01661608
Contributeur : Frédéric Marazzato <>
Soumis le : mercredi 9 janvier 2019 - 11:25:24
Dernière modification le : lundi 15 avril 2019 - 18:08:01

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  • HAL Id : hal-01661608, version 4

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Frédéric Marazzato, Alexandre Ern, Christian Mariotti, Laurent Monasse. An explicit pseudo-energy conserving time-integration scheme for Hamiltonian dynamics. 2019. ⟨hal-01661608v4⟩

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