Symplectic schemes for highly oscillatory Hamiltonian systems with varying fast frequencies

DOI10.1016/j.crma.2010.08.005zbMath1417.37272OpenAlexW2095076529MaRDI QIDQ710859

Claude Le Bris, Matthew Dobson, Frédéric Legoll

Publication date: 22 October 2010

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.08.005

zbMATH Keywords

symplectic integratorshighly oscillatory Hamiltonian systemsslow degrees of freedom

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Systems arising from the discretization of structural vibration problems (70J50) Systems with slow and fast motions for nonlinear problems in mechanics (70K70)

Cites Work

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• Homogenization of Hamiltonian systems with a strong constraining potential
• Derivation of simplectic numerical schemes for highly oscillatory Hamiltonian systems.
• Integrators for highly oscillatory Hamiltonian systems: an homogenization approach
• An Averaging Technique for Highly Oscillatory Hamiltonian Problems
• Long-Time-Step Methods for Oscillatory Differential Equations
• Symplectic schemes for highly oscillatory Hamiltonian systems: the homogenization approach beyond the constant frequency case
• Numerical Integrators for Highly Oscillatory Hamiltonian Systems: A Review
• Error analysis of exponential integrators for oscillatory second-order differential equations
• Geometric Numerical Integration

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