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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⟩
Article dans une revue hal-01702545v1

Numerical Schemes of Diffusion Asymptotics and Moment Closures for Kinetic Equations

José Antonio Carrillo , Thierry Goudon , Pauline Lafitte , Francesco Vecil
Journal of Scientific Computing, 2008, 35, pp.113-149. ⟨10.1007/s10915-007-9181-5⟩
Article dans une revue hal-00768401v1
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Numerical Study and Ex Vivo Assessment of HIFU Treatment Time Reduction through Optimization of Focal Point Trajectory

A Grisey , S Yon , T Pechoux , Pauline Godillon-Lafitte , Véronique Letort
The 14th International Symposium on Therapeutic Ultrasound (ISTU), Apr 2014, Las Vegas, United States. ⟨10.1063/1.4977659⟩
Communication dans un congrès hal-01272364v1
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Quantitative estimates of $L^p$ maximal regularity for nonautonomous operators and global existence for quasilinear equations

Théo Belin , Pauline Lafitte
2024
Pré-publication, Document de travail hal-04484486v2
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Computation of shock profiles in radiative hydrodynamics

Jean-François Coulombel , Pauline Lafitte
Communications in Computational Physics, 2009, 6 (5), pp.1118-1136. ⟨10.1007/s00193-012-0368-9⟩
Article dans une revue hal-00768629v1
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Exploration numérique de comportements asymptotiques pour des équations de transport-diffusion

Pauline Lafitte-Godillon
Equations aux dérivées partielles [math.AP]. Université des Sciences et Technologie de Lille - Lille I, 2010
HDR tel-00768679v1

Normal transport properties in a metastable stationary state for a classical particle coupled to a non-Ohmic bath

Pauline Lafitte , Paul Parris , Stephan de Bievre
Journal of Statistical Physics, 2008, 132, pp.863-879. ⟨10.1007/s10955-008-9590-3⟩
Article dans une revue hal-00768623v1

A High-Order Asymptotic-Preserving Scheme for Kinetic Equations Using Projective Integration

Pauline Godillon-Lafitte , Annelies Lejon , Giovanni Samaey
SIAM Journal on Numerical Analysis, 2016, 54 (1), pp.1 - 33. ⟨10.1137/140966708⟩
Article dans une revue hal-01706406v1
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Analysis of large amplitude shock profiles for non-equilibrium radiative hydrodynamics: formation of Zeldovich spikes

Jean-François Coulombel , Thierry Goudon , Pauline Lafitte , Chunjin Lin
Shock Waves, 2012, 22 (3), pp.181-197. ⟨10.1007/s00193-012-0368-9⟩
Article dans une revue hal-00593491v1
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Signal propagation in the MAPK cascade: role of bistability and ultrasensitivity for a mixed problem

Ralf Blossey , Jean-François Bodart , Anne Devys , Thierry Goudon , Pauline Lafitte
Journal of Mathematical Biology, 2012, 64 (1-2), pp.1-39. ⟨10.1007/s00285-011-0403-y⟩
Article dans une revue inria-00450744v1
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A coupled model for radiative transfer: Doppler effects, equilibrium, and nonequilibrium diffusion asymptotics

Pauline Godillon-Lafitte , Thierry Goudon
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2005, 4 (4), pp.1245--1279 (electronic). ⟨10.1137/040621041⟩
Article dans une revue hal-00785328v1
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Numerical investigations of the compressible Navier-Stokes system

Bilal Al-Taki , Kevin Atsou , Jean-Jéróme Casanova , Thierry Goudon , Pauline Lafitte , et al.
ESAIM: Proceedings and Surveys, 2021, CEMRACS 2019 - Geophysical Fluids, Gravity Flows, 70, pp.1 - 13. ⟨10.1051/proc/202107001⟩
Article dans une revue hal-03314984v1

Green's function pointwise estimates for the modified Lax-Friedrichs scheme

Pauline Godillon-Lafitte
Hyperbolic problems: theory, numerics, applications, 2002, Los Angeles, United States. pp.539-547, ⟨10.1007/978-3-642-55711-8⟩
Communication dans un congrès hal-00785333v1

A Coupled Model for Radiative Transfer: Doppler Effects, Equilibrium, and Nonequilibrium Diffusion Asymptotics

Pauline Godillon-Lafitte , Thierry Goudon
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2005, 4 (4), pp.1245 - 1279. ⟨10.1137/040621041⟩
Article dans une revue hal-01706483v1
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A model describing the growth and the size distribution of multiple metastatic tumors

Anne Devys , Thierry Goudon , Pauline Lafitte
Discrete and Continuous Dynamical Systems - Series B, 2009, 12 (4), pp.731-767. ⟨10.3934/dcdsb.2009.12.731⟩
Article dans une revue inria-00351489v1
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A numerical study of attraction/repulsion collective behavior models: 3D particle analyses and 1D kinetic simulations

Francesco Vecil , Pauline Lafitte , Jesus Rosado Linares
Physica D: Nonlinear Phenomena, 2013, 10.1016/j.physd.2012.12.010. ⟨10.1016/j.physd.2012.12.010⟩
Article dans une revue hal-00726486v1
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Shock profiles for hydrodynamic models for fluid-particles flows in the flowing regime

Thierry Goudon , Pauline Lafitte , Corrado Mascia
2023
Pré-publication, Document de travail hal-04113011v1
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Asymptotic-preserving projective integration schemes for kinetic equations in the diffusion limit

Pauline Lafitte , Giovanni Samaey
SIAM Journal on Scientific Computing, 2012, 34 (2), pp.A579-A602. ⟨10.1137/100795954⟩
Article dans une revue hal-00485189v1
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Stabilité des profils de chocs dans les systèmes de lois de conservation

Pauline Lafitte-Godillon
Mathématiques [math]. Ecole normale supérieure de lyon - ENS LYON, 2001. Français. ⟨NNT : ⟩
Thèse tel-00396376v1
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The lovebirds problem: why solve Hamilton-Jacobi-Bellman equations matters in love affairs

Thierry Goudon , Pauline Lafitte
Acta Applicandae Mathematicae, 2015, 136 (1), pp.147-165. ⟨10.1007/s10440-014-9944-6⟩
Article dans une revue hal-00780945v1

A high-order relaxation method with projective integration for solving nonlinear systems of hyperbolic conservation laws

Pauline Godillon-Lafitte , Ward Melis , Giovanni Samaey
Journal of Computational Physics, 2017, 340, pp.1 - 25. ⟨10.1016/j.jcp.2017.03.027⟩
Article dans une revue hal-01706186v1
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Asymptotic behavior of splitting schemes involving time-subcycling techniques

Guillaume Dujardin , Pauline Lafitte
IMA Journal of Numerical Analysis, 2015, ⟨10.1093/imanum/drv059⟩
Article dans une revue hal-00751217v5

Fluid-particles flows: a thin spray model with energy exchanges

Laurent Boudin , Benjamin Boutin , Bruno Fornet , Thierry Goudon , Pauline Lafitte , et al.
ESAIM: Proceedings, 2009, CEMRACS 2008 - Modelling and Numerical Simulation of Complex Fluids, 28, pp.195-210. ⟨10.1051/proc/2009047⟩
Article dans une revue inria-00543156v1

Classical Motion in Force Fields with Short Range Correlations

Bénédicte Aguer , Stephan de Bievre , Pauline Lafitte , Paul Parris
Journal of Statistical Physics, 2010, 138, pp.780-814. ⟨10.1007/s10955-009-9898-7⟩
Article dans une revue hal-00768632v1
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Extinction probabilities for a distylous plant population modeled by an inhomogeneous random walk on the positive quadrant

Pauline Lafitte-Godillon , Kilian Raschel , Viet Chi Tran
SIAM Journal on Applied Mathematics, 2013, 73 (2), pp.700-722. ⟨10.1137/120864258⟩
Article dans une revue hal-00664536v2
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Numerical exploration of a forward-backward diffusion equation

Pauline Lafitte , Corrado Mascia
Mathematical Models and Methods in Applied Sciences, 2012, 22 (06), pp.1250004. ⟨10.1142/S0218202512500042⟩
Article dans une revue hal-00512508v1

Modeling and simulation of fluid-particles flows

Thierry Goudon , Pauline Lafitte , Mathias Rousset
Series in Contemporary Applied Mathematics, 2010, Some Problems on Nonlinear Hyperbolic Equations and Applications, pp.100-130. ⟨10.1142/9789814322898_0005⟩
Article dans une revue hal-00768631v1

High-Order Asymptotic-Preserving Projective Integration Schemes for Kinetic Equations

Pauline Godillon-Lafitte , Annelies Lejon , Ward Melis , Dirk Roose , Giovanni Samaey
Numerical Mathematics and Advanced Applications - ENUMATH 2013, 2013, Lausanne, Switzerland
Communication dans un congrès hal-01706456v1

MMCS, Mathematical Modelling of Complex Systems

Frédéric Abergel , Marc Aiguier , Damien Challet , Paul-Henry P.-H. Cournède , Gilles Fay , et al.
47, 2014, ESAIM: Proceedings and Surveys
Proceedings/Recueil des communications hal-02539582v1
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Uniform estimates for a fully discrete scheme integrating the linear heat equation on a bounded interval with pure Neumann boundary conditions

Guillaume Dujardin , Pauline Lafitte
2024
Pré-publication, Document de travail hal-04306131v2