| Energy-preserving integrators for stochastic Poisson systems D Cohen, G Dujardin Communications in Mathematical Sciences 12 (8), 17, 2014 | 43 | 2014 |
| Normal form and long time analysis of splitting schemes for the linear Schrödinger equation with small potential G Dujardin, E Faou Numerische Mathematik 108 (2), 223-262, 2007 | 39 | 2007 |
| 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 |
| Exponential Runge–Kutta methods for the Schrödinger equation G Dujardin Applied numerical mathematics 59 (8), 1839-1857, 2009 | 36 | 2009 |
| Heteroclinic structure of parametric resonance in the nonlinear Schrödinger equation M Conforti, A Mussot, A Kudlinski, SR Nodari, G Dujardin, S De Biévre, ... Physical review letters 117 (1), 013901, 2016 | 35 | 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 |
| Coercivity, hypocoercivity, exponential time decay and simulations for discrete Fokker–Planck equations G Dujardin, F Hérau, P Lafitte Numerische Mathematik 144 (3), 615-697, 2020 | 30 | 2020 |
| Asymptotics of linear initial boundary value problems with periodic boundary data on the half-line and finite intervals GM Dujardin Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2009 | 25 | 2009 |
| Exponential integrators for nonlinear Schrödinger equations with white noise dispersion D Cohen, G Dujardin Stochastics and Partial Differential Equations: Analysis and Computations 5 …, 2017 | 24 | 2017 |
| Comb generation using multiple compression points of Peregrine rogue waves in periodically modulated nonlinear Schrödinger equations CGL Tiofack, S Coulibaly, M Taki, S De Bievre, G Dujardin Physical Review A 92 (4), 043837, 2015 | 22 | 2015 |
| Asymptotic behaviour of splitting schemes involving time-subcycling techniques G Dujardin, P Lafitte IMA Journal of Numerical Analysis 36 (4), 1804-1841, 2016 | 19 | 2016 |
| Modulational instability in dispersion-kicked optical fibers SR Nodari, M Conforti, G Dujardin, A Kudlinski, A Mussot, S Trillo, ... Physical Review A 92 (1), 013810, 2015 | 19 | 2015 |
| Long time behavior of splitting methods applied to the linear Schrödinger equation G Dujardin, E Faou Comptes Rendus Mathematique 344 (2), 89-92, 2007 | 11 | 2007 |
| Excitation of radial collective modes in a quantum dot: Beyond linear response V Gudmundsson, S Hauksson, A Johnsen, G Reinisch, A Manolescu, ... Annalen der Physik 526 (5-6), 235-248, 2014 | 10 | 2014 |
| Moments’ analysis in homogeneous Markov reward models F Castella, G Dujardin, B Sericola Methodology and Computing in Applied Probability 11, 583-601, 2009 | 10 | 2009 |
| Lie–trotter splitting for the nonlinear stochastic Manakov system A Berg, D Cohen, G Dujardin Journal of Scientific Computing 88 (1), 6, 2021 | 8 | 2021 |
| Periodic modulations controlling Kuznetsov–Ma soliton formation in nonlinear Schrödinger equations CGL Tiofack, S Coulibaly, M Taki, S De Bièvre, G Dujardin Physics Letters A 381 (24), 1999-2003, 2017 | 8 | 2017 |
| Propagation of Gevrey regularity over long times for the fully discrete Lie Trotter splitting scheme applied to the linear Schrödinger equation F Castella, G Dujardin ESAIM: Mathematical Modelling and Numerical Analysis 43 (4), 651-676, 2009 | 7 | 2009 |
| Stochastic modulational instability in the nonlinear Schrödinger equation with colored random dispersion A Armaroli, G Dujardin, A Kudlinski, A Mussot, S Trillo, S De Bièvre, ... Physical Review A 105 (1), 013511, 2022 | 5 | 2022 |
| Modulational instability in optical fibers with randomly kicked normal dispersion G Dujardin, A Armaroli, SR Nodari, A Mussot, A Kudlinski, S Trillo, ... Physical Review A 103 (5), 053521, 2021 | 4 | 2021 |
Matteo ConfortiPhLAM, CNRS-Université Lille 1Verified email at ircica.univ-lille1.fr
