Numerical Integrators for Highly Oscillatory Hamiltonian Systems: A Review

  • David Cohen
  • Tobias Jahnke
  • Katina Lorenz
  • Christian Lubich
Conference paper

DOI: 10.1007/3-540-35657-6_20

Cite this paper as:
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

Summary

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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • David Cohen
    • 1
  • Tobias Jahnke
    • 2
  • Katina Lorenz
    • 1
  • Christian Lubich
    • 1
  1. 1.Mathematisches InstitutUniviversität TübingenTübingen
  2. 2.Institut für Mathematik II, BioComputing GroupFreie Universität BerlinBerlin