Numerical integrators for highly oscillatory Hamiltonian systems: a review
Paper in proceeding, 2006

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.

Author

David Cohen

University of Tübingen

Tobias Jahnke

Freie Universität Berlin

Katina Lorenz

University of Tübingen

Christian Lubich

University of Tübingen

Analysis, Modeling and Simulation of Multiscale Problems

553-576

Subject Categories

Mathematics

DOI

10.1007/3-540-35657-6_20

More information

Latest update

3/21/2022