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High order exponential integrators for nonlinear Schrödinger equations with application to rotating Bose-Einstein condensates

Christophe Besse , Guillaume Dujardin , Ingrid Lacroix-Violet
SIAM Journal on Numerical Analysis, 2017, 55 (3), pp.1387-1411. ⟨10.1137/15M1029047⟩
Journal articles hal-01170888v2
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On the Exponential decay for Compressible Navier-Stokes-Korteweg equations with a Drag Term

Didier Bresch , Marguerite Gisclon , Ingrid Lacroix-Violet , Alexis F. Vasseur
Journal of Mathematical Fluid Mechanics, 2022, 24 (11)
Journal articles hal-02542115v2
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A numerical study of vortex nucleation in 2D rotating Bose-Einstein condensates

Guillaume Dujardin , Ingrid Lacroix-Violet , Anthony Nahas
2022
Preprints, Working Papers, ... hal-03818063v1
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On Navier-Stokes-Korteweg and Euler-Korteweg Systems: Application to Quantum Fluids Models

Didier Bresch , Marguerite Gisclon , Ingrid Lacroix-Violet
Archive for Rational Mechanics and Analysis, 2019, 233 (3), pp.975-1025. ⟨10.1007/s00205-019-01373-w⟩
Journal articles hal-01496960v4

Numerical approximation of Knudsen layer for Euler-Poisson system

Frédérique Charles , Nicolas Vauchelet , Christophe Besse , Thierry Goudon , Ingrid Violet , et al.
ESAIM: Proceedings, 2011, CEMRACS'10 research achievements: Numerical modeling of fusion, 32, pp.177--194. ⟨10.1051/proc/2011020⟩
Journal articles hal-00905329v1

Hydrodynamic regimes, Knudsen layer, numerical schemes: Definition of boundary fluxes

Christophe Besse , Saja Borghol , Thierry Goudon , Ingrid Lacroix-Violet , Jean-Paul Dudon
Advances in Applied Mechanics, 2011, 3 (5), pp.519--561
Journal articles hal-00905330v1
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Global weak solutions to the compressible quantum navier-stokes equation and its semi-classical limit

Ingrid Lacroix-Violet , Alexis Vasseur
Journal de Mathématiques Pures et Appliquées, 2018, 114, pp.191-210. ⟨10.1016/j.matpur.2017.12.002⟩
Journal articles hal-01347943v2
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Existence of solutions and asymptotic limits of the Euler-Poisson and the quantum drift-diffusion systems. Applications to semiconductors and plasmas.

Ingrid Violet
Mathematics [math]. Université Blaise Pascal - Clermont-Ferrand II, 2006. English. ⟨NNT : ⟩
Theses tel-00120583v1

Numerical solutions of Euler-Poisson systems for potential flows

Claire Chainais-Hillairet , Yue-Jun Peng , Ingrid Violet
Applied Numerical Mathematics, 2009, 59, pp.301-315
Journal articles hal-00489214v1
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Example of supersonic solutions to a steady state Euler-Poisson system

Yue-Jun Peng , Ingrid Violet
Applied Mathematics Letters, 2006, 19 (12), pp.1335-1340
Journal articles hal-00489009v1
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Transparent boundary conditions for locally perturbed infinite hexagonal periodic media.

Christophe Besse , Julien Coatleven , Sonia Fliss , Ingrid Lacroix-Violet , Karim Ramdani
Communications in Mathematical Sciences, 2013, 11 (4), pp.907-938
Journal articles hal-00698916v1
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Â-and Î-stability of collocation runge-kutta methods

Guillaume Dujardin , Ingrid Lacroix-Violet
2023
Preprints, Working Papers, ... hal-04074151v1
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Comportements asymptotiques, conditions aux limites et analyse numérique pour des modèles fluides

Ingrid Lacroix-Violet
Equations aux dérivées partielles [math.AP]. Université de Lille / Laboratoire Paul Painlevé, 2017
Habilitation à diriger des recherches tel-02417631v1
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On the existence of solutions for a drift-diffusion system arising in corrosion modelling

Claire Chainais-Hillairet , Ingrid Lacroix-Violet
Discrete and Continuous Dynamical Systems - Series B, 2015, 20 (1), pp.77-92. ⟨10.3934/dcdsb.2015.20.77⟩
Journal articles hal-00764239v1
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Discrete Artificial Boundary Conditions for the Korteweg-de Vries Equation

Christophe Besse , Matthias Ehrhardt , Ingrid Lacroix-Violet
Numerical Methods for Partial Differential Equations, 2016, 35 (5), pp.1455-1484. ⟨10.1002/num.22058⟩
Journal articles hal-01105043v3
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Convergence of a Finite Volume Scheme for a Corrosion Model

Claire Chainais-Hillairet , Pierre-Louis Colin , Ingrid Lacroix-Violet
International Journal on Finite Volumes, 2015, ⟨10.1007/978-3-319-05591-6_54⟩
Journal articles hal-01082041v3
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High order linearly implicit methods for semilinear evolution PDEs

Guillaume Dujardin , Ingrid Lacroix-Violet
2023
Preprints, Working Papers, ... hal-04021953v1
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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
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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