Articles dans des revues avec comité de lecture
- [7] Absorbing boundary conditions for the two-dimensional Schrödinger equation with an exterior potential. Part II: discretization and numerical results,
X. Antoine, C. Besse, P. Klein.
Numerische Mathematik, 125(2) : 191-223, 2013.
(lien), (pdf) (BibTeX)
- [6] Absorbing boundary conditions for the two-dimensional Schrödinger equation with an exterior potential. Part I: construction and a priori estimates,
X. Antoine, C. Besse, P. Klein.
Mathematical Models and Methods in Applied Sciences (M3AS), 10(22) (38 pages), 2012.
(lien), (pdf) (BibTeX)
- [5] Absorbing boundary conditions for solving N-dimensional stationary Schrödinger equations with unbouned potentials and nonlinearites,
P. Klein, X. Antoine, C. Besse, M. Ehrhardt.
Communication in Computional Physics, 10(5) : 1280-1304, 2011.
(lien), (pdf) (BibTeX)
- [4] Absorbing boundary conditions for Schrödinger equations with general potentials and nonlinearities,
X. Antoine, C. Besse, P. Klein.
SIAM Journal on Scientific Computing, 33(2) : 1008-1033, 2011.
(lien), (pdf) (BibTeX)
- [3] Numerical solution of time-dependant nonlinear Schrödinger equation using domaine truncation techniques coupled with relaxation scheme,
X. Antoine, C. Besse, P. Klein.
Laser Physics, 21(8) : 1-12, 2011.
(lien), (pdf) (BibTeX)
- [2] Open Boundary Conditions and Computational Schemes for Schrödinger Equations with General Potentials and Nonlinearities,
X. Antoine, C. Besse, P. Klein.
Some Problems on Nonlinear Hyperbolic Equations and Applications, The French-Chinese Summer Institute on Applied Mathematics held at Fudan University, Shanghai, September 1-21, 2008. Edited by Ta-Tsien Li, Yue-Jun Peng, Bopeng Rao. Series in Contemporary Applied Mathematics, CAM15, World Scientific, 2010.
(lien), (pdf) (BibTeX)
- [1] Absorbing Boundary Conditions for the One-Dimensional Schrödinger Equation with an Exterior Repulsive Potential,
X. Antoine, C. Besse, P. Klein.
Journal of Computational Physics, 228(2) : 312-335, 2009.
(lien), (pdf) (BibTeX)Pré-publication
- [5b] Modeling boundary conditions for solving stationary Schrödinger equations,
X. Antoine, C. Besse, M. Ehrhardt, P. Klein.
Preprint 10/04 of the Chairs of Applied Mathematics & Numerical Analysis and Optimization & Approximation, Université de Wuppertal, Février 2010.
(lien), (pdf)Thèse
- Construction et analyse de conditions aux limites artificielles pour des équations de Schrödinger avec potentiels ou non linéarités.
Thèse, Université Nancy 1, 2010.
(Lien sur TEL), (pdf) (BibTeX)