Symplectic schemes for highly oscillatory Hamiltonian systems: the homogenization approach beyond the constant frequency case

DOI10.1093/IMANUM/DRS005zbMath1261.65131arXiv1008.1030OpenAlexW2167387383MaRDI QIDQ4907960

Frédéric Legoll, Matthew Dobson, Claude Le Bris

Publication date: 27 February 2013

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.1030

zbMATH Keywords

Hamilton-Jacobi equationhomogenizationsymplectic integratorstwo-scale expansionhighly oscillatory Hamiltonian systems

Mathematics Subject Classification ID

Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (4)

Variational integrators for electric circuits ⋮ NySALT: Nyström-type inference-based schemes adaptive to large time-stepping ⋮ Symplectic schemes for highly oscillatory Hamiltonian systems with varying fast frequencies ⋮ Temporal homogenization of linear ODEs, with applications to parametric super-resonance and energy harvest

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