Pauline Lafitte

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Bibliography

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. “Greens 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.