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Guillaume DUJARDIN Junior Research Scientist INRIA Lille Nord Europe |
NEW (11/2009) "Asymptotics of linear initial boundary value problems with periodic boundary data on the half-line and finite intervals",
Proc. R. Soc. A November 2009 465:3341-3360; published online before print August 12, 2009, doi:10.1098/rspa.2009.0194
"Propagation of Gevrey regularity over long times for the fully discrete Lie Trotter splitting scheme applied to the linear Schrödinger equation", with F. Castella
ESAIM: M2AN 43 4 (2009) 651-676 doi:10.1051/m2an/2009028
"Exponential Runge-Kutta methods for the Schrödinger equation",
App. Num. Math. 2009, vol 59, 8 1839-1857
"Moments analysis in Markov reward models", with F. Castella and B. Sericola
Methodology and Computing in Applied Probability (2008)
"Normal form and long time analysis of splitting schemes for the linear Schrödinger equation with small potential", with E. Faou
Numerische Mathematik 106, Number 2(2007) 223-262 (The original publication is available at www.springerlink.com)
"Long time behavior of splitting methods applied to the linear Schrödinger equation", with E. Faou
C.R. Acad. Sci. Paris, Sér. I 344 (2007) 89-92
"Sobolev estimates for splitting schemes applied to the linear Schrödinger equation", with E. Faou
Mathematisches Forschungsinstitut Oberwolfach
Report No. 14/2006
"Etude de schémas de discrétisation en temps de l'équation de Schrödinger" (English & French)
Defended on 13th June 2008, University of Rennes I, IRMAR and INRIA Rennes Bretagne Atlantique