Qualitative behavior of splitting methods for the linear Schrödinger equation in molecular dynamics
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.
@article{EP_2008_22_a27,
author = {Guillaume Dujardin and Erwan Faou},
title = {Qualitative behavior of splitting methods for the linear {Schr\"odinger} equation in molecular dynamics},
journal = {ESAIM. Proceedings},
pages = {234--239},
year = {2008},
volume = {22},
doi = {10.1051/proc:072227},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:072227/}
}
TY - JOUR AU - Guillaume Dujardin AU - Erwan Faou TI - Qualitative behavior of splitting methods for the linear Schrödinger equation in molecular dynamics JO - ESAIM. Proceedings PY - 2008 SP - 234 EP - 239 VL - 22 UR - http://geodesic.mathdoc.fr/articles/10.1051/proc:072227/ DO - 10.1051/proc:072227 LA - en ID - EP_2008_22_a27 ER -
%0 Journal Article %A Guillaume Dujardin %A Erwan Faou %T Qualitative behavior of splitting methods for the linear Schrödinger equation in molecular dynamics %J ESAIM. Proceedings %D 2008 %P 234-239 %V 22 %U http://geodesic.mathdoc.fr/articles/10.1051/proc:072227/ %R 10.1051/proc:072227 %G en %F EP_2008_22_a27
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
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