Integrators for highly oscillatory Hamiltonian systems: an homogenization approach

DOI10.3934/dcdsb.2010.13.347zbMath1259.37051OpenAlexW2079367605MaRDI QIDQ964041

Frédéric Legoll, Claude Le Bris

Publication date: 14 April 2010

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2010.13.347

zbMATH Keywords

generating functionnumerical schemestwo-scale expansionsymplectic algorithmshighly oscillatory Hamiltonian systems

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Hamilton-Jacobi equations in mechanics (70H20) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Numerical nonlinear stabilities in dynamical systems (65P40) Systems with slow and fast motions for nonlinear problems in mechanics (70K70) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

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