Geodesic
Qualitative behavior of splitting methods for the linear Schrödinger equation in molecular dynamics
Guillaume Dujardin1 ; Erwan Faou1
1 INRIA, Campus de Beaulieu, 35042 Rennes Cedex, France;
ESAIM. Proceedings, Tome 22 (2008), pp. 234-239.

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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.
DOI : 10.1051/proc:072227

Guillaume Dujardin 1 ; Erwan Faou 1

1 INRIA, Campus de Beaulieu, 35042 Rennes Cedex, France; 
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     author = {Guillaume Dujardin and Erwan Faou},
     title = {Qualitative behavior of splitting methods for the linear {Schr\"odinger} equation in molecular dynamics},
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Guillaume Dujardin; Erwan Faou. Qualitative behavior of splitting methods for the linear Schrödinger equation in molecular dynamics. ESAIM. Proceedings, Tome 22 (2008), pp. 234-239. doi : 10.1051/proc:072227. http://geodesic.mathdoc.fr/articles/10.1051/proc:072227/

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