| Issue |
ESAIM: Proc.
Volume 22, 2008
CANUM 2006 - Congrès National d'Analyse Numérique
|
|
|---|---|---|
| Page(s) | 234 - 239 | |
| DOI | https://doi.org/10.1051/proc:072227 | |
| Published online | 01 February 2008 | |
Qualitative behavior of splitting methods for the linear Schrödinger equation in molecular dynamics
INRIA, Campus de Beaulieu, 35042 Rennes Cedex, France;
Corresponding authors: guillaume.dujardin@irisa.fr erwan.faou@irisa.fr
We present a normal form theorem for the propagator of a splitting method applied to a linear Schrödinger equation. This result allows us to derive conservation properties for the numerical solutions provided by the method. As a conclusion, we show numerical experiments illustrating our results.
Mathematics Subject Classification: 65P10 / 37M15 / 37K55
Key words: infinite-dimensional Hamiltonian systems / symplectic integrators / perturbation theory for infinite-dimensional systems
© EDP Sciences, ESAIM, 2007
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