Implicit-Explicit Variational Integration of Highly Oscillatory Problems

DOI10.1137/080732936zbMath1185.65227arXiv0808.2239OpenAlexW3101408971MaRDI QIDQ3653216

Ari Stern, Eitan Grinspun

Publication date: 21 December 2009

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.2239

zbMATH Keywords

mechanical systemsnumerical experimentsHamiltonian systemssplitting methodssymplectic integratorsimplicit-explicit methodsvariational integratorsFermi-Pasta-Ulam problemhighly oscillatory problemsdifferent time scalesnumerical resonance instabilityStörmer/Verlet/leapfrog method

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) Systems with slow and fast motions for nonlinear problems in mechanics (70K70)

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