Abstract
Numerical methods for oscillatory, multi-scale Hamiltonian systems are reviewed. The construction principles are described, and the algorithmic and analytical distinction between problems with nearly constant high frequencies and with time- or state-dependent frequencies is emphasized. Trigonometric integrators for the first case and adiabatic integrators for the second case are discussed in more detail. © 2006 Springer-Verlag Berlin Heidelberg.
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CITATION STYLE
Cohen, D., Jahnke, T., Lorenz, K., & Lubich, C. (2006). Numerical integrators for highly oscillatory hamiltonian systems: A review. In Analysis, Modeling and Simulation of Multiscale Problems (pp. 553–576). Springer Berlin Heidelberg. https://doi.org/10.1007/3-540-35657-6_20
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