Article (Accepted version) (165 Kb) - 
Free accessOther version: http://www.springerlink.com/content/e697027u2552x70h/
Highlights
Scientific Article
unige:5203 
 |
Spectral semi-discretisations of weakly nonlinear wave equations over long times |
|
| Authors | ||
| Published in | Foundations of Computational Mathematics. 2008, vol. 8, no. 3, p. 319-334 | |
| Abstract | The long-time behaviour of spectral semi-discretisations of weakly nonlinear wave equations is analysed. It is shown that the harmonic actions are approximately conserved also for the semi-discretised system. This permits to prove that the energy of the wave equation along the interpolated semi-discrete solution remains well conserved over long times and close to the Hamiltonian of the semi-discrete equation. Although the momentum is no longer an exact invariant of the semi-discretisation, it is shown to be approximately conserved. All these results are obtained with the technique of modulated Fourier expansions. | |
| Keywords | Nonlinear wave equation — Spectral semi-discretisation — Long-time behaviour | |
| Identifiers | ||
| Full text |
Article (Accepted version) (165 Kb) - Free access Other version: http://www.springerlink.com/content/e697027u2552x70h/ |
|
| Structures | ||
| Citation (ISO format) | HAIRER, Ernst, LUBICH, Christian. Spectral semi-discretisations of weakly nonlinear wave equations over long times. In: Foundations of Computational Mathematics, 2008, vol. 8, n° 3, p. 319-334. doi: 10.1007/s10208-007-9014-9 https://archive-ouverte.unige.ch/unige:5203 |
409 hits 
212 downloads 
Contact an author
Update