Heterogeneous multiscale methods for highly oscillatory mechanical systems with solution-dependent frequencies

DOI10.1093/IMANUM/DRT010zbMath1357.65086OpenAlexW1984009598MaRDI QIDQ5398448

Bernd Brumm, Daniel Weiss

Publication date: 28 February 2014

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

Full work available at URL: https://semanticscholar.org/paper/6227bf3c9e3064bed93a9f6f2fc9edecab559a33

zbMATH Keywords

adiabatic invariantscanonical transformationsoscillatory Hamiltonian systemsRATTLEaveraged systemvarying high frequenciesheterogeneous multiscale methods (HMM)

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

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Numerical Integrators for Motion under a Strong Constraining Force

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