Aguer, Bénédicte, Stephan De Bièvre, Pauline Lafitte, and Paul E.
Parris. 2010. “Classical Motion in Force Fields with Short Range
Correlations.” Journal of Statistical Physics 138 (4):
780–814.
Blossey, Ralf, Jean-François Bodart, Anne Devys, Thierry Goudon, and
Pauline Lafitte. 2012. “Signal Propagation of the MAPK Cascade in
Xenopus Oocytes: Role of Bistability and Ultrasensitivity for a Mixed
Problem.” Journal of Mathematical Biology 64 (1-2):
1–39.
Carrillo, José Antonio, Thierry Goudon, and Pauline Lafitte. 2008.
“Simulation of Fluid and Particles Flows: Asymptotic Preserving
Schemes for Bubbling and Flowing Regimes.” Journal of
Computational Physics 227 (16): 7929–51.
Carrillo, José Antonio, Thierry Goudon, Pauline Lafitte, and Francesco
Vecil. 2008. “Numerical Schemes of Diffusion Asymptotics and
Moment Closures for Kinetic Equations.” Journal of Scientific
Computing 36 (1): 113–49.
Coulombel, Jean-François, Thierry Goudon, Pauline Lafitte, and Chunjin
Lin. 2012. “Analysis of Large Amplitude Shock Profiles for
Non-Equilibrium Radiative Hydrodynamics: Formation of Zeldovich
Spikes.” Shock Waves 22 (3): 181–97.
Coulombel, Jean-François, and Pauline Lafitte. 2009. “Computation
of Shock Profiles in Radiative Hydrodynamics.” Communications
in Computational Physics 6 (5): 1118–36.
Devys, Anne, Thierry Goudon, and Pauline Lafitte. 2009. “A Model
Describing the Growth and the Size Distribution of Multiple Metastatic
Tumors.” Discrete and Continuous Dynamical Systems - Series
B 12 (4): 731–67.
Dujardin, Guillaume, Frédéric Hérau, and Pauline Lafitte. 2020.
“Coercivity, Hypocoercivity, Exponential Time Decay and
Simulations for Discrete Fokker–Planck Equations.” Numerische
Mathematik 144 (3): 615–97.
Dujardin, Guillaume, and Pauline Lafitte. 2016. “Asymptotic
Behaviour of Splitting Schemes Involving Time-Subcycling
Techniques.” IMA Journal of Numerical Analysis 36 (4):
1804–41.
———. 2023.
“Uniform estimates for a fully
discrete scheme integrating the linear heat equation on a bounded
interval with pure Neumann boundary conditions.” Hal
Preprint Hal-04306131.
https://hal.science/hal-04306131.
Godillon, Pauline. 2001. “Linear Stability of Shock Profiles for
Systems of Conservation Laws with Semi-Linear Relaxation.”
Physica D: Nonlinear Phenomena 148 (3-4): 289–316.
———. 2003. “Green’s Function Pointwise Estimates for
the Modified Lax-Friedrichs Scheme.” Mathematical Modelling
and Numerical Analysis 37 (1): 1–39.
Godillon, Pauline, and Emmanuel Lorin. 2003. “A Lax Shock Profile
Satisfying a Sufficient Condition of Spectral Instability.”
Journal of Mathematical Analysis and Applications 283 (1):
12–24.
Godillon-Lafitte, Pauline, and Thierry Goudon. 2005. “A Coupled
Model for Radiative Transfer: Doppler Effects, Equilibrium, and
Nonequilibrium Diffusion Asymptotics.” Multiscale Modeling
and Simulation 4 (4): 1245–79.
Goudon, Thierry, and Pauline Lafitte. 2015. “The Lovebirds
Problem: Why Solve Hamilton-Jacobi-Bellman Equations Matters in Love
Affairs.” Acta Applicandae Mathematicae 136 (1): 147–65.
Goudon, Thierry, Pauline Lafitte, and Corrado Mascia. 2023b.
“Shock Profiles for Hydrodynamic Models for Fluid-Particles Flows
in the Flowing Regime.” Accepted for Publication in
Proceedings of XVIII International Conference on Hyperbolic Problems:
Theory, Numerics, Applications (HYP2022).
———. 2023a.
“Shock Profiles for Hydrodynamic Models for
Fluid-Particles Flows in the Flowing Regime.” arXiv Preprint
arXiv:2306.01330.
https://arxiv.org/pdf/2306.01330.pdf.
Grisey, Anthony, Marc Heidmann, Véronique Letort, Pauline Lafitte, and
Sylvain Yon. 2016. “Influence of Skin and Subcutaneous Tissue on
High-Intensity Focused Ultrasound Beam: Experimental Quantification and
Numerical Modeling.” Ultrasound in Medicine and Biology
42 (10): 2457–65.
Grisey, Anthony, Sylvain Yon, Véronique Letort, and Pauline Lafitte.
2016. “Simulation of High-Intensity Focused Ultrasound Lesions in
Presence of Boiling.” Journal of Therapeutic Ultrasound
4 (1): 1–14.
Grisey, Anthony, Sylvain Yon, Thierry Pechoux, Véronique Letort, and
Pauline Lafitte. 2017. “Numerical Study and Ex Vivo Assessment of
HIFU Treatment Time Reduction Through Optimization of Focal Point
Trajectory.” AIP Conference Proceedings 1821.
Lafitte, Pauline. 2011. “Preface of the "Symposium on
Asymptotic Preserving Schemes and Applications".”
AIP Conference Proceedings 1389.
Lafitte, Pauline, Annelies Lejon, Ward Melis, Dirk Roose, and Giovanni
Samaey. 2015. “High-Order Asymptotic-Preserving Projective
Integration Schemes for Kinetic Equations.” Lecture Notes in
Computational Science and Engineering 103: 387–95.
Lafitte, Pauline, Annelies Lejon, and Giovanni Samaey. 2016. “A
High-Order Asymptotic-Preserving Scheme for Kinetic Equations Using
Projective Integration.” SIAM Journal on Numerical
Analysis 54 (1): 1–33.
Lafitte, Pauline, and Corrado Mascia. 2012. “Numerical Exploration
of a Forwardbackward Diffusion Equation.” Mathematical Models
and Methods in Applied Sciences 22 (6).
Lafitte, Pauline, Ward Melis, and Giovanni Samaey. 2017. “A
High-Order Relaxation Method with Projective Integration for Solving
Nonlinear Systems of Hyperbolic Conservation Laws.” Journal
of Computational Physics 340: 1–25.
Lafitte, Pauline, Paul E. Parris, and Stephan De Bièvre. 2008.
“Normal Transport Properties in a Metastable Stationary State for
a Classical Particle Coupled to a Non-Ohmic Bath.” Journal of
Statistical Physics 132 (5): 863–79.
Lafitte, Pauline, and Giovanni Samaey. 2012.
“Asymptotic-Preserving Projective Integration Schemes for Kinetic
Equations in the Diffusion Limit.” SIAM Journal on Scientific
Computing 34 (2).
Lafitte-Godillon, Pauline, Kilian Raschel, and Viet Chi Tran. 2013.
“Extinction Probabilities for a Distylous Plant Population Modeled
by an Inhomogeneous Random Walk on the Positive Quadrant.”
SIAM Journal on Applied Mathematics 73 (2): 700–722.
Michel, Olivier, Roland Duclous, Paul-Edouard Masson-Laborde, Cédric
Enaux, and Pauline Lafitte. 2023. “A Nonlocal Electron Transport
Model in the Diffusion Scaling of Hydrodynamics.” Physics of
Plasmas 30 (2).
Taki, Al-Bilal, Kevin Atsou, Jean-Jéróme Casanova, Thierry Goudon,
Pauline Lafitte, Frédéric Lagoutière, and Sebastian Minjeaud. 2021.
“Numerical Investigations of the Compressible Navier-Stokes
System.” ESAIM: Proceedings and Surveys 70: 1–13.
Vecil, Francesco, Pauline Lafitte, and Jesus Rosado Linares. 2013.
“A Numerical Study of Attraction/Repulsion Collective Behavior
Models: 3D Particle Analyses and 1D Kinetic Simulations.”
Physica D: Nonlinear Phenomena 260: 127–44.