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Gradient Flow Approach to the Calculation of Stationary States on Nonlinear Quantum Graphs

Christophe Besse , Romain Duboscq , Stefan Le Coz
Annales Henri Lebesgue, 2022, 5, pp.387-428
Article dans une revue hal-02798328v3

Analysis of a splitting scheme for a class of random nonlinear partial differential equations

Romain Duboscq , Renaud Marty
ESAIM: Probability and Statistics, 2016, 20, pp.572-589. ⟨10.1051/ps/2016023⟩
Article dans une revue hal-03275394v1
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Constrained minimizers of the von Neumann entropy and their characterization

Romain Duboscq , Olivier Pinaud
2019
Pré-publication, Document de travail hal-02334432v1
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Robust and efficient preconditioned Krylov spectral solvers for computing the ground states of fast rotating and strongly interacting Bose-Einstein condensates

Xavier Antoine , Romain Duboscq
Journal of Computational Physics, 2014, 258 (1), pp.509-523. ⟨10.1016/j.jcp.2013.10.045⟩
Article dans une revue hal-00931117v1
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Acceleration of the imaginary time method for spectrally computing the stationary states of Gross-Pitaevskii equations

Xavier Antoine , Christophe Besse , Romain Duboscq , Vittorio Rispoli
Computer Physics Communications, 2017, 219, pp.70-78. ⟨10.1016/j.cpc.2017.05.008⟩
Article dans une revue hal-01356227v1
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On Strichartz estimates for a dispersion modulated by a time-dependent deterministic noise

Romain Duboscq
2018
Pré-publication, Document de travail hal-01701850v1
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Computation of excited states for the nonlinear Schrödinger equation: numerical and theoretical analysis

Christophe Besse , Romain Duboscq , Stefan Le Coz
2023
Pré-publication, Document de travail hal-04151806v1
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Numerical Simulations on Nonlinear Quantum Graphs with the GraFiDi Library

Christophe Besse , Romain Duboscq , Stefan Le Coz
SMAI Journal of Computational Mathematics, 2022, 8, pp.1-47
Article dans une revue hal-03164639v1
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Restoring quasireversibility with a single topological charge

Juan Pablo Álvarez Zúñiga , Christophe Besse , Romain Duboscq , Juliette Billy , David Guéry-Odelin
Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2017, 96 (5), pp.053618. ⟨10.1103/PhysRevA.96.053618⟩
Article dans une revue hal-01634474v1
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On a stochastic Hardy-Littlewood-Sobolev inequality with application to Strichartz estimates for a noisy dispersion

Romain Duboscq , Anthony Réveillac
2019
Pré-publication, Document de travail hal-01636293v2
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Modeling and computation of Bose-Einstein condensates: stationary states, nucleation, dynamics, stochasticity

Xavier Antoine , Romain Duboscq
Lecture Notes in Mathematics, 2146, Springer, pp.49-145, 2015, Nonlinear Optical and Atomic Systems: at the Interface of Mathematics and Physics
Chapitre d'ouvrage hal-01094826v1
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Vortex patterns in the almost-bosonic anyon gas

Michele Correggi , Romain Duboscq , Douglas Lundholm , Nicolas Rougerie
EPL - Europhysics Letters, 2019, ⟨10.1209/0295-5075/126/20005⟩
Article dans une revue hal-01997590v2

GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations II: dynamics and stochastic simulations

Xavier Antoine , Romain Duboscq
Computer Physics Communications, 2015, 193, pp.95-117. ⟨10.1016/j.cpc.2015.03.012⟩
Article dans une revue hal-01095568v1
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Analyse et simulation d'équations de Schrödinger déterministes et stochastiques. Applications aux condensats de Bose-Einstein en rotation

Romain Duboscq
Mathématiques générales [math.GM]. Université de Lorraine, 2013. Français. ⟨NNT : 2013LORR0198⟩
Thèse tel-01750566v1
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On the minimization of quantum entropies under local constraints

Romain Duboscq , Olivier Pinaud
2017
Pré-publication, Document de travail hal-01609707v1

GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations I: computation of stationary solutions

Xavier Antoine , Romain Duboscq
Computer Physics Communications, 2014, 185 (11), pp.2969-2991. ⟨10.1016/j.cpc.2014.06.026⟩
Article dans une revue hal-01094315v1
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Entropy minimization for many-body quantum systems

Romain Duboscq , Olivier Pinaud
2021
Pré-publication, Document de travail hal-03167522v1
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Stochastic regularization effects of semi-martingales on random functions

Romain Duboscq , Anthony Réveillac
Journal de Mathématiques Pures et Appliquées, 2016
Article dans une revue hal-01178614v3
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The Itô-Tanaka Trick: a non-semimartingale approach

Laure Coutin , Romain Duboscq , Anthony Réveillac
2019
Pré-publication, Document de travail hal-02176741v2
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A constrained optimization problem in quantum statistical physics

Romain Duboscq , Olivier Pinaud
2019
Pré-publication, Document de travail hal-02084969v1