An Averaging Technique for Highly Oscillatory Hamiltonian Problems

DOI10.1137/080715974zbMath1197.65206OpenAlexW2075807819MaRDI QIDQ3584625

Erwan Faou, Philippe Chartier, Francois Castella

Publication date: 30 August 2010

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/080715974

zbMATH Keywords

numerical examplesfilteringaveragingHamiltonian problemsadiabatic invariancehighly oscillatory

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (6)

Quasienergy operators and generalized squeezed states for systems of trapped ions ⋮ On the effectiveness of spectral methods for the numerical solution of multi-frequency highly oscillatory Hamiltonian problems ⋮ Simply improved averaging for coupled oscillators and weakly nonlinear waves ⋮ Symplectic schemes for highly oscillatory Hamiltonian systems with varying fast frequencies ⋮ Asymptotic-numerical solvers for highly oscillatory ordinary differential equations and Hamiltonian systems ⋮ High order numerical methods for highly oscillatory problems

This page was built for publication: An Averaging Technique for Highly Oscillatory Hamiltonian Problems