Guillaume DUJARDIN Junior Research Scientist INRIA Lille Nord Europe SIMPAF project-team Laboratoire Paul Painlevé

• 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
  
  
    

• "Long time asymptotics of linear initial-boundary value problems with periodic boundary data". May 2009.
  
  International Conference on SCIentific Computation and Differential Equations (SCICADE 09), Beijing, China.
• "Normal form for splitting schemes applied to the linear Schrödinger equation". July 10th 2007.
  
  International Conference on SCIentific Computation and Differential Equations (SCICADE 07), Saint-Malo, France.
• "Normal form for splitting schemes applied to the linear Schrödinger equation". April 10th 2007.
  
  "Highly Oscillatory Problems" programme of the Isaac Newton Institute for Mathematical Sciences, Cambridge, United Kingdom.
• "Un théorème de forme normale pour des méthodes de splitting appliquées à l'équation de Schrödinger linéaire". 22 mars 2007.
  
  Journée de l'équipe d'analyse numérique de l'IRMAR. Rennes, France.
  
  
• "Normal form for splitting schemes applied to the linear Schrödinger equation". February 28th 2007.
  
   Invited participant to the Manifold And Geometric Integration Colloquium 2007 (MAGIC 07) in Atnasjøen, Norway.
  
  
• "Normal form for splitting schemes applied to the linear Schrödinger equation". October 18th 2006.
  
  University of Tuebingen, Germany.
  
  
• "Etude qualitative de méthodes de splitting pour l'équation de Schrödinger linéaire en dynamique moléculaire". 01 juin 2006.
  
  Mini-symposium de dynamique moléculaire, 38ème Congrès National d'Analyse Numérique, Beg er Lenn, France.
  
  

• Conference on Scientific Computing in honour of E. Hairer's 60th birthday : from June 17th to June 20th 2009 (Geneva, Switzerland).
• International Conference on SCIentific Computation And Differential Equations : from May 25th to May 29th 2009 (Beijing, China).
• Oberwolfach Seminar on Geometric Numerical Integration : from November 23rd to November 29th 2008.
• Workshop on "Splitting methods in time integration" : from October 15th to October 18th 2008 (University of Innsbruck, Austria).
• International Conference on SCIentific Computation And Differential Equations "SCICADE 07" : from July 09th to July 13th 2007.
• Highly Oscillatory Problems: Computation, Theory and Application (HOP program, Isaac Newton Institute for Mathematical Sciences) : from January 15th to July 6th 2007.
• Manifolds And Geometric Integration Colloquium 2007 (MaGIC 07) : from February 26th 2007 to March 2nd 2007.
• 38ème Congrès National d'Analyse Numérique "CANUM 2006" : du 29 mai au 02 juin 2006.
  
  

• Société des Mathématiques Appliquées et Industrielles (SMAI).