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• W3112928642 abstract "The present work deals with the numerical long-time integration of damped Hamiltonian systems. The method that we analyze combines a specific Strang splitting, that separates linear dissipative effects from conservative ones, with an energy-preserving averaged vector field (AVF) integrator for the Hamiltonian subproblem. This construction faithfully reproduces the energy-dissipation structure of the continuous model, its equilibrium points and its natural Lyapunov function. As a consequence of these structural similarities, both the convergence to equilibrium and, more interestingly, the energy decay rate of the continuous dynamical system are recovered at a discrete level. The possibility of replacing the implicit AVF integrator by an explicit Stormer-Verlet one is also discussed, while numerical experiments illustrate and support the theoretical findings." @default.
• W3112928642 created "2020-12-21" @default.
• W3112928642 creator A5020055390 @default.
• W3112928642 creator A5031065374 @default.
• W3112928642 creator A5053318259 @default.
• W3112928642 date "2021-01-01" @default.
• W3112928642 modified "2023-09-26" @default.
• W3112928642 title "Asymptotic analysis of a structure-preserving integrator for damped Hamiltonian systems" @default.
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• W3112928642 doi "https://doi.org/10.3934/dcds.2020407" @default.
• W3112928642 hasPublicationYear "2021" @default.
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