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*
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Avec Bruno Després, Generalized Harten formalism and
longitudinal variation diminishing schemes for linear advection on
arbitrary grids : Mathematical Models and Numerical Analysis 35
(2001) no 6, 1159--1183 pdf).
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*
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Avec Bruno Després, Contact discontinuity capturing schemes for
linear advection and compressible gas dynamics : Journal of
Scientific Computing 16 (2001) no 4, 479--524
(pdf).
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*
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Avec Bruno Després et David Ramos, Stability of a
thermodynamically coherent multi-phase model : Mathematical
Models and Methods in Applied Sciences 13 (2003) no 10, 1463--1487
(pdf).
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*
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Large time behavior of numerical solutions of scalar conservation
laws : Journal of Hyperbolic Differential Equations 3 (2006) no
4, 631--648.
(pdf).
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*
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Avec Stéphane Jaouen, Numerical transport of an arbitrary
number of components : Computer Methods in Applied Mechanics and
Engineering 196 (2007) no 33-34, 3127--3140
(pdf).
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*
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Avec Annalisa Ambroso, Christophe Chalons, Frédéric
Coquel, Edwige Godlewski, Pierre-Arnaud Raviart et Nicolas Seguin, The
coupling of homogeneous models for two-phase flows :
International Journal on Finite Volumes, 4 (2007) no 1, 1--39
(pdf).
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*
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Avec Bruno Després, Numerical resolution
of a two-component compressible fluid model with interfaces :
Progress in Computational Fluid Dynamics 7 (2007) no 6, 295--310
(pdf).
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*
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Stability of reconstruction schemes for hyperbolic PDEs :
Communications in Mathematical Sciences 6 (2008) no 1, 57--70
(pdf).
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*
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Avec Benjamin Boutin, Christophe Chalons et Philippe LeFloch,
Convergent and conservative schemes for nonclassical solutions based
on kinetic relations, I :
Interfaces and Free Boundaries 10 (2008) no 3, 399--421
(pdf).
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*
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Avec Nicolas Seguin et Takéo Takahashi,
A simple model of inviscid fluid-solid interaction : Journal of
Differential Equations 245 (2008) no 11, 3503--3544
(pdf).
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*
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Avec Annalisa Ambroso, Christophe Chalons, Frédéric
Coquel, Edwige Godlewski, Pierre-Arnaud Raviart et Nicolas Seguin,
Coupling of general Lagrangian systems :
Mathematics of Computation 77 (2008), 909--941
(pdf).
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*
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Avec François Delarue,
Probabilistic analysis of the upwind scheme for transport equations :
Arch. Ration. Mech. Anal. 199 (2011), no. 1, 229--268.
(pdf).
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*
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Avec Bruno Després, Emmanuel Labourasse et Isabelle Marmajou,
An antidissipative transport scheme on unstructured meshes for
multicomponent flows : International Journal on Finite Volumes 7
(2010), no 1
(lien
vers l'article).
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*
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Avec Samuel Kokh,
An Anti-Diffusive Numerical Scheme for the Simulation of Interfaces
between Compressible Fluids by Means of a Five-Equation Model :
J. Comput. Phys. 229 (2010), no 8, 2773--2809
(pdf).
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*
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Avec Bruno Després et Nicolas Seguin,
Weak solutions to Friedrichs systems with convex constraints :
Nonlinearity 24 (2011), no. 11, 3055--3081.
(pdf).
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*
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Avec Boris Andreianov, Nicolas Seguin et Takéo Takahashi,
Small solids in an inviscid fluid:
Netw. Heterog. Media 5 (2010), no. 3, 385--404
(pdf).
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*
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Avec Thierry Goudon et Léon Matar Tine,
The Lifschitz-Slyozov equation with space-diffusion of monomers :
Kinet. Relat. Models 5 (2012), no. 2, 325--355
(pdf).
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*
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Avec Thierry Goudon et Léon Matar Tine,
Simulations of the Lifshitz-Slyozov equations: the role of coagulation
terms in the asymptotic behavior : Math. Models Methods Appl. Sci. 23
(2013), no. 7, 1177--1215
(pdf).
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*
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Avec Boris Andreianov, Nicolas Seguin et Takéo Takahashi,
Well-posedness for a one-dimensional fluid-particle interaction model :
SIAM J. Math. Anal. 46 (2014), no. 2, 1030--1052
(pdf).
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*
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Avec Nina Aguillon et Nicolas Seguin,
Convergence of finite volumes schemes for the coupling between
the inviscid Burgers equation and a particle : Math of Comp 86 (2017)
no 303, 157--193
(pdf).
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*
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Avec José Antonio Carrillo, François James et Nicolas Vauchelet,
The Filippov characteristic flow for the aggregation equation with mildly
singular potentials : J. Differential Equations 260 (2016), no. 1, 304--338
(pdf).
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*
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Avec Bruno Després et Samuel Kokh,
Sharpening methods for finite volume schemes :
Handbook of Numerical Analysis XVII, Handbook of Numerical Methods for
Hyperbolic Problems (Rémi Abgrall and Chi-Wang Shu Editors, 2016), 77--102
(pdf).
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*
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Avec Nicolas Vauchelet,
Analysis and simulation of nonlinear and nonlocal transport equations :
Springer INdAM Series 16, Innovative Algorithms and Analysis
(Laurent Gosse and Roberto Natalini Editors, 2017),
(pdf).
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*
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Avec François Delarue et Nicolas Vauchelet,
Convergence order of upwind type schemes for transport equations with
discontinuous coefficients :
Journal de Mathématiques Pures et Appliquées (9) 108 (2017),
no 6, 918--951
(pdf).
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*
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Avec Clémentine Courtès et Frédéric Rousset,
Error estimates of finite difference schemes for the Korteweg-de-Vries
equation : IMA Journal of Numerical Analysis 40 (2020), no 1, 628--685.
(pdf).
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*
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Avec Mélanie Inglard et Hans Henrik Rugh, Ghost
solutions with centered schemes for one-dimensional
transport equations with Neumann boundary conditions :
Annales de la Faculté des Sciences de Toulouse,
série 6, volume XXIX, fascicule 4 (2020) 927--950 (pdf).
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*
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Avec François Delarue et Nicolas Vauchelet,
Convergence analysis of upwind type schemes for the aggregation
equation with pointy potential : Annales Henri Lebesgue 3 (2020), 217--260
(pdf).
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*
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Avec Jean-François Coulombel,
The Neumann numerical boundary condition for transport equations :
Kinet. Relat. Models 13 (2020), no. 1, 1--32
(pdf).
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*
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Avec Benoît Fabrèges, Sébastien Tran Tien et Nicolas Vauchelet,
Relaxation limit of the aggregation equation with
pointy potential :
Axioms 2021, 10(2), 108
(pdf).
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*
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Avec Didier Bresch et Cosmin Burtea : Mathematical justification of a compressible bifluid system
with different pressure laws: a continuous approach : Applicable Analysis 2022, Vol 101, No. 12, 4235--4266
(pdf).
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*
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Avec Didier Bresch et Cosmin Burtea : Mathematical justification of a compressible bifluid system
with different pressure laws: a semi-discrete approach and numerical illustrations : Journal of Computational Physics, Vol 480 (2023).
(pdf).
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o
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Numerical resolution of scalar convex equations: Explicit stability,
entropy and convergence conditions : ESAIM Proc. 10, 183--199
(pdf).
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o
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Avec Céline Baranger, Gérard Baudin, Laurent Boudin,
Bruno Després Emmanuel Lapébie et Takéo
Takahashi, Liquid jet generation and break-up : proceedings du CEMRACS
2003, Numerical Methods for Hyperbolic and Kinetic Problems, IRMA
Lectures in Mathematics and Theoretical Physics 7
(pdf).
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o
|
Avec Annalisa Ambroso, Christophe Chalons, Frédéric
Coquel, Edwige Godlewski, Pierre-Arnaud Raviart et Nicolas Seguin,
Extension of interface coupling to general Lagrangian systems :
Numerical mathematics and advanced applications, 852--860,
Springer, Berlin, 2006.
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o
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Avec Bruno Després, Genuinely multidimensional non-dissipative
finite volume schemes for transport : International Journal
of Applied Mathematics and Computer Science 17, no 3 (2007) 321--328,
proceedings of the CHANT meeting in Strasbourg, november 2005.
(pdf).
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o
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Avec Étienne Bernard, Stéphane Del Pino, Erwan Deriaz,
Bruno Després et Katerina Jurkova, Lagrangian method enhanced
with edge swapping for the free fall and contact problem :
CEMRACS 2007, 46--59, ESAIM Proc., 24
(pdf).
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o
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Avec Pierre-Henri Maire, Aaron Diaz, Maya De Buhan, Cécile
Dobrzynski et Gilles Kluth, A cell-centered arbitrary
Lagrangian-Eulerian (ALE) method for multimaterial compressible
flows : CEMRACS 2007, 1--13, ESAIM Proc., 24
(pdf).
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o
|
Avec Annalisa Ambroso, Christophe Chalons, Frédéric
Coquel, Edwige Godlewski, Pierre-Arnaud Raviart et Nicolas Seguin,
Relaxation methods and coupling procedures : International
Journal for Numerical Methods in Fluids 56 (2008), 1123--1129
(pdf).
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o
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Avec Laurent Boudin, Benjamin Boutin, Bruno Fornet,
Thierry Goudon, Pauline Lafitte et
Benoît Merlet, Fluid-particles flows :
a thin spray modelwith energy exchanges:
CEMRACS 2008--Modelling and numerical simulation of complex fluids, 195--210,
ESAIM Proc., 28
(pdf).
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o
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Avec Marie Billaud Friess, Benjamin Boutin, Filipa Caetano, Gloria Faccanoni,
Samuel Kokh et Laurent Navoret, A second order antidiffusive Lagrange-remap
scheme for two-component flows :
CEMRACS'10 research achievements: numerical modeling of fusion, 149--162, ESAIM Proc., 32
(pdf).
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o
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Avec Bertrand Meltz et Stéphane Jaouen,
An arbitrary space-time high-order finite volume scheme for gas
dynamics equations in curvilinear coordinates on polar meshes :
Finite volumes for complex applications VII. Elliptic, parabolic
and hyperbolic problems, 901--909, Springer Proc. Math. Stat., 78,
Springer, Cham, 2014.
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o
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Avec François Delarue, Benoît Fabrèges,
Hélène Hivert, Kevin Le Balc'h,
Sofiane Martel et Nicolas Vauchelet :
Numerical schemes for the aggregation equation with pointy potentials,
CEMRACS 2017-numerical methods for stochastic models: control,
uncertainty quantification, mean-field,
384--400, ESAIM Proc. Surveys, 65, EDP Sci., Les Ulis, 2019
(pdf).
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o
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Avec Jérôme Gilleron, Thierry Goudon, Hugo Martin,
Benjamin Mauroy, Pascal Millet, Magali Ribot et Cristina Vaghi :
Modeling and analysis of adipocytes dynamic with a differentiation process,
CEMRACS 2018, ESAIM Proc. Surveys, 67, 210--241, EDP Sci., Les
Ulis, 2020 (pdf).
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o
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Avec Bilal Al-Taki, Kevin Atsou, Jean-Jérôme Casanova, Thierry Goudon, Pauline Lafitte et Sebastian Minjeaud :
Numerical investigations of the compressible Navier-Stokes system,
CEMRACS 2019 (Geophysical fluids, gravity flows), ESAIM Proc. Surveys, 70, 1--13, EDP Sci.,
Les Ulis, 2021 (pdf).
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*
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Avec Claire Valentin, Jean-Marc Choubert, Françoise Couenne et Christian Jallut,
Knowledge-based model and simulations to support decision making in waste water treatment
processes : 33rd European Symposium on Computer Aided Process Engineerin, Jun 2023
(pdf).
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