Energy conservation over long times of numerical discretizations for nonlinear wave equations
by
Ernst Hairer
Université de Genève
Coauthors: David Cohen, Christian Lubich

For numerical discretizations of nonlinearly perturbed wave equations the long-time near-conservation of energy, momentum, and harmonic actions is studied. The time step is not assumed to be small compared to the inverse of the largest frequency in the space-discretized system, so that classical backward error analysis cannot be applied.

The proofs of the statements on the long-time conservation properties are based on the technique of modulated Fourier expansions.

This is joint work with Christian Lubich and David Cohen. Related preprints can be downloaded from http://www.unige.ch/ hairer/preprints.html

Date received: July 3, 2007

Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavj-83.