Numerical Integrators for Highly Oscillatory Hamiltonian Systems: A Review
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- Cohen D., Jahnke T., Lorenz K., Lubich C. (2006) Numerical Integrators for Highly Oscillatory Hamiltonian Systems: A Review. In: Mielke A. (eds) Analysis, Modeling and Simulation of Multiscale Problems. Springer, Berlin, Heidelberg
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.
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