Repository: Freie Universit├Ąt Berlin, Math Department

Numerical Integrators for Highly Oscillatory Hamiltonian Systems: A Review

Cohen, D. and Jahnke, T. and Lorenz, K. and Lubich, Ch. (2006) Numerical Integrators for Highly Oscillatory Hamiltonian Systems: A Review. In: Analysis, Modeling and Simulation of Multiscale Problems.

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Official URL: http://dx.doi.org/10.1007/3-540-35657-6_20

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.

Item Type:Conference or Workshop Item (UNSPECIFIED)
Subjects:Mathematical and Computer Sciences > Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
Department of Mathematics and Computer Science > Institute of Mathematics > BioComputing Group
ID Code:120
Deposited By: Admin Administrator
Deposited On:03 Jan 2009 20:20
Last Modified:03 Mar 2017 14:40

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