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Asymptotics of linear initial boundary value problems with periodic boundary data on the half-line and finite intervals

Guillaume Dujardin
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2009, 465, pp.3341-3360. ⟨10.1098/rspa.2009.0194⟩
Journal articles hal-00782033v1
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Periodic modulations controlling Kuznetsov-Ma soliton formation in nonlinear Schrödinger equations

Gaston G L Tiofack , Saliya Coulibaly , Majid Taki , Stephan de Bièvre , Guillaume Dujardin
Physics Letters A, 2017, ⟨10.1016/j.physleta.2017.04.029⟩
Journal articles hal-01403028v1
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Energy-preserving integrators for stochastic Poisson systems

David Cohen , Guillaume Dujardin
Communications in Mathematical Sciences, 2014, 12 (8), pp.17. ⟨10.4310/CMS.2014.v12.n8.a7⟩
Journal articles hal-00907890v1
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Contribution à l'analyse numérique de problèmes d'évolution : comportements asymptotiques et applications à l'équation de Schrödinger

Guillaume Dujardin
Mathématiques [math]. Universite de Lille, 2018
Habilitation à diriger des recherches tel-01950160v1
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A numerical study of vortex nucleation in 2D rotating Bose-Einstein condensates

Guillaume Dujardin , Ingrid Lacroix-Violet , Anthony Nahas
Preprints, Working Papers, ... hal-03818063v1
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Numerical computation of dark solitons of a nonlocal nonlinear Schrödinger equation

André de Laire , Guillaume Dujardin , Salvador López-Martínez
Preprints, Working Papers, ... hal-04058467v2

Exponential integrators for the stochastic Manakov equation

André Berg , David Cohen , Guillaume Dujardin
Journal of Computational Dynamics, 2023, ⟨10.3934/jcd.2023002⟩
Journal articles hal-02586778v1

Nonlinear Stage of Modulation Instability in Dispersion Oscillating Fibers

Matteo Conforti , Arnaud Mussot , Alexandre Kudlinski , Simona Rota Nodari , Guillaume Dujardin , et al.
Conference on Lasers and Electro-Optics (CLEO 2016), Jun 2016, San Jose, CA, United States. pp.JW2A.70, ⟨10.1364/CLEO_AT.2016.JW2A.70⟩
Conference papers hal-01470823v1
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High order linearly implicit methods for semilinear evolution PDEs

Guillaume Dujardin , Ingrid Lacroix-Violet
Preprints, Working Papers, ... hal-04021953v1

Heteroclinic Structure of Parametric Resonance in Fibers with Periodic Dispersion

Matteo Conforti , Arnaud Mussot , Alexandre Kudlinski , Simona Rota Nodari , Guillaume Dujardin , et al.
OSA Advanced Photonics Congress 2016 (APC 2016), Sep 2016, Sydney, Australia. pp.NTh4A.2, ⟨10.1364/NP.2016.NTh4A.2⟩
Conference papers hal-03541473v1
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Coercivity, hypocoercivity, exponential time decay and simulations for discrete Fokker- Planck equations

Guillaume Dujardin , Frédéric Hérau , Pauline Lafitte-Godillon
Numerische Mathematik, 2020, 144, ⟨10.1007/s00211-019-01094-y⟩
Journal articles hal-01702545v1
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Energy preserving methods for nonlinear Schrödinger equations

Christophe Besse , Stephane Descombes , Guillaume Dujardin , Ingrid Lacroix-Violet
IMA Journal of Numerical Analysis, 2021, 41 (1), pp.618-653. ⟨10.1093/imanum/drz067⟩
Journal articles hal-01951527v1
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High order linearly implicit methods for evolution equations

Guillaume Dujardin , Ingrid Lacroix-Violet
ESAIM: Mathematical Modelling and Numerical Analysis, 2022, ⟨10.1051/m2an/2022018⟩
Journal articles hal-02361814v3