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Guillaume Dujardin
Guillaume Dujardin
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Title
Cited by
Cited by
Year
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
372007
Exponential Runge–Kutta methods for the Schrödinger equation
G Dujardin
Applied numerical mathematics 59 (8), 1839-1857, 2009
312009
Energy-preserving integrators for stochastic Poisson systems
D Cohen, G Dujardin
Communications in Mathematical Sciences 12 (8), 17, 2014
292014
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
262017
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
262016
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
212015
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
202009
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
182020
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
172021
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
152015
Exponential integrators for nonlinear Schrödinger equations with white noise dispersion
D Cohen, G Dujardin
Stochastics and Partial Differential Equations: Analysis and Computations 5 …, 2017
142017
Asymptotic behaviour of splitting schemes involving time-subcycling techniques
G Dujardin, P Lafitte
IMA Journal of Numerical Analysis 36 (4), 1804-1841, 2016
142016
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
92014
Moments’ analysis in homogeneous Markov reward models
F Castella, G Dujardin, B Sericola
Methodology and Computing in Applied Probability 11 (4), 583-601, 2009
92009
Long time behavior of splitting methods applied to the linear Schrödinger equation
G Dujardin, E Faou
Comptes Rendus Mathematique 344 (2), 89-92, 2007
92007
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
72009
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
42017
Normal form and long time analysis of splitting schemes for the linear Schrödinger equation
G Dujardin, E Faou
Preprint, 2006
42006
Moments analysis in Markov reward models
F Castella, G Dujardin, B Sericola
INRIA, 2006
32006
Qualitative behavior of splitting methods for the linear Schrödinger equation in molecular dynamics
G Dujardin, E Faou
ESAIM: Proceedings 22, 234-239, 2008
22008
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