| A review of transparent and artificial boundary conditions techniques for linear and nonlinear Schrödinger equations X Antoine, A Arnold, C Besse, M Ehrhardt, A Schädle Berlin: Weierstraß-Institut für Angewandte Analysis und Stochastik, 2008 | 477 | 2008 |
| Computational methods for the dynamics of the nonlinear Schrödinger/Gross–Pitaevskii equations X Antoine, W Bao, C Besse Computer Physics Communications 184 (12), 2621-2633, 2013 | 386 | 2013 |
| Order estimates in time of splitting methods for the nonlinear Schrödinger equation C Besse, B Bidégaray, S Descombes SIAM Journal on Numerical Analysis 40 (1), 26-40, 2002 | 218 | 2002 |
| Unconditionally stable discretization schemes of non-reflecting boundary conditions for the one-dimensional Schrödinger equation X Antoine, C Besse Journal of Computational Physics 188 (1), 157-175, 2003 | 182 | 2003 |
| A relaxation scheme for the nonlinear Schrödinger equation C Besse SIAM Journal on Numerical Analysis 42 (3), 934-952, 2004 | 177 | 2004 |
| Numerical schemes for the simulation of the two-dimensional Schrödinger equation using non-reflecting boundary conditions X Antoine, C Besse, V Mouysset Mathematics of computation 73 (248), 1779-1799, 2004 | 128 | 2004 |
| Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations X Antoine, C Besse, S Descombes SIAM journal on numerical analysis 43 (6), 2272-2293, 2006 | 104 | 2006 |
| A model hierarchy for ionospheric plasma modeling C Besse, P Degond, F Deluzet, J Claudel, G Gallice, C Tessieras Mathematical Models and Methods in Applied Sciences 14 (03), 393-415, 2004 | 103 | 2004 |
| 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 | 87 | 2009 |
| 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, 191-223, 2013 | 60* | 2013 |
| Absorbing boundary conditions for general nonlinear Schrödinger equations X Antoine, C Besse, P Klein SIAM Journal on Scientific Computing 33 (2), 1008-1033, 2011 | 60 | 2011 |
| Construction, structure and asymptotic approximations of a microdifferential transparent boundary condition for the linear Schrödinger equation X Antoine, C Besse Journal de mathématiques pures et appliquées 80 (7), 701-738, 2001 | 50 | 2001 |
| Schéma de relaxation pour l'équation de Schrödinger non linéaire et les systèmes de Davey et Stewartson C Besse Comptes Rendus de l'Académie des Sciences-Series I-Mathematics 326 (12 …, 1998 | 38 | 1998 |
| Numerical study of the Davey-Stewartson system C Besse, NJ Mauser, HP Stimming ESAIM: Mathematical Modelling and Numerical Analysis 38 (6), 1035-1054, 2004 | 37 | 2004 |
| High Order Exponential Integrators for Nonlinear Schrödinger Equations with Application to Rotating Bose--Einstein Condensates C Besse, G Dujardin, I Lacroix-Violet SIAM Journal on Numerical Analysis 55 (3), 1387-1411, 2017 | 36 | 2017 |
| Numerical study of elliptic-hyperbolic Davey–Stewartson system: Dromions simulation and blow-up C Besse, CH Bruneau Mathematical Models and Methods in Applied Sciences 8 (08), 1363-1386, 1998 | 34 | 1998 |
| Discrete transparent boundary conditions for the mixed KDV–BBM equation C Besse, P Noble, D Sanchez Journal of Computational Physics 345, 484-509, 2017 | 33 | 2017 |
| Discrete artificial boundary conditions for the linearized Korteweg–de Vries equation C Besse, M Ehrhardt, I Lacroix‐Violet Numerical Methods for Partial Differential Equations 32 (5), 1455-1484, 2016 | 33 | 2016 |
| Energy-preserving methods for nonlinear Schrödinger equations C Besse, S Descombes, G Dujardin, I Lacroix-Violet IMA Journal of Numerical Analysis 41 (1), 618-653, 2021 | 32 | 2021 |
| Artificial boundary conditions for the linearized Benjamin–Bona–Mahony equation C Besse, B Mésognon-Gireau, P Noble Numerische Mathematik 139 (2), 281-314, 2018 | 29 | 2018 |
Xavier ANTOINEProfessor of Applied and Computational Mathematics, Université de LorraineVerified email at univ-lorraine.fr
