Numerical Integrators for Highly Oscillatory Hamiltonian Systems: A Review

David Cohen (), Tobias Jahnke (), Katina Lorenz () and Christian Lubich ()
Additional contact information
David Cohen: Univiversität Tübingen, Mathematisches Institut
Tobias Jahnke: Freie Universität Berlin, Institut für Mathematik II, BioComputing Group
Katina Lorenz: Univiversität Tübingen, Mathematisches Institut
Christian Lubich: Univiversität Tübingen, Mathematisches Institut

A chapter in Analysis, Modeling and Simulation of Multiscale Problems, 2006, pp 553-576 from Springer

Abstract: 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.

Keywords: Hamiltonian System; Slow Variable; Oscillatory Integral; Oscillatory Energy; Slow Time Scale (search for similar items in EconPapers)
Date: 2006
References: Add references at CitEc
Citations: View citations in EconPapers (1)

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-35657-8_20

Ordering information: This item can be ordered from
http://www.springer.com/9783540356578

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

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().