Simulation of fluid and particles flows: Asymptotic preserving schemes for bubbling and flowing regimes JA Carrillo, T Goudon, P Lafitte Journal of Computational Physics 227 (16), 7929-7951, 2008 | 79 | 2008 |
Numerical schemes of diffusion asymptotics and moment closures for kinetic equations JA Carrillo, T Goudon, P Lafitte, F Vecil Journal of Scientific Computing 36, 113-149, 2008 | 64 | 2008 |
A coupled model for radiative transfer: Doppler effects, equilibrium, and nonequilibrium diffusion asymptotics P Godillon-Lafitte, T Goudon Multiscale Modeling & Simulation 4 (4), 1245-1279, 2005 | 64 | 2005 |
Asymptotic-preserving projective integration schemes for kinetic equations in the diffusion limit P Lafitte, G Samaey SIAM Journal on Scientific Computing 34 (2), A579-A602, 2012 | 49 | 2012 |
Classical motion in force fields with short range correlations B Aguer, S De Bièvre, P Lafitte, PE Parris Journal of Statistical Physics 138, 780-814, 2010 | 46 | 2010 |
A model describing the growth and the size distribution of multiple metastatic tumors A Devys, T Goudon, P Lafitte Discrete and Continuous Dynamical Systems-Series B 12 (4), 731-767, 2009 | 39 | 2009 |
Coercivity, hypocoercivity, exponential time decay and simulations for discrete Fokker–Planck equations G Dujardin, F Hérau, P Lafitte Numerische Mathematik 144 (3), 615-697, 2020 | 30 | 2020 |
A high-order asymptotic-preserving scheme for kinetic equations using projective integration P Lafitte, A Lejon, G Samaey SIAM Journal on Numerical Analysis 54 (1), 1-33, 2016 | 26 | 2016 |
Normal transport properties in a metastable stationary state for a classical particle coupled to a non-Ohmic bath P Lafitte, PE Parris, S De Bièvre Journal of Statistical Physics 132, 863-879, 2008 | 26 | 2008 |
Numerical exploration of a forward–backward diffusion equation P Lafitte, C Mascia Mathematical Models and Methods in Applied Sciences 22 (06), 1250004, 2012 | 25 | 2012 |
A high-order relaxation method with projective integration for solving nonlinear systems of hyperbolic conservation laws P Lafitte, W Melis, G Samaey Journal of Computational Physics 340, 1-25, 2017 | 24 | 2017 |
Simulation of high-intensity focused ultrasound lesions in presence of boiling A Grisey, S Yon, V Letort, P Lafitte Journal of therapeutic ultrasound 4, 1-14, 2016 | 22 | 2016 |
Influence of skin and subcutaneous tissue on high-intensity focused ultrasound beam: experimental quantification and numerical modeling A Grisey, M Heidmann, V Letort, P Lafitte, S Yon Ultrasound in medicine & biology 42 (10), 2457-2465, 2016 | 21 | 2016 |
A numerical study of attraction/repulsion collective behavior models: 3D particle analyses and 1D kinetic simulations F Vecil, P Lafitte, JR Linares Physica D: Nonlinear Phenomena 260, 127-144, 2013 | 20 | 2013 |
Asymptotic behaviour of splitting schemes involving time-subcycling techniques G Dujardin, P Lafitte IMA Journal of Numerical Analysis 36 (4), 1804-1841, 2016 | 19 | 2016 |
Analysis of large amplitude shock profiles for non-equilibrium radiative hydrodynamics: formation of Zeldovich spikes JF Coulombel, T Goudon, P Lafitte, C Lin Shock Waves 22, 181-197, 2012 | 19* | 2012 |
Normal transport at positive temperatures in classical Hamiltonian open systems S De Bièvre, P Lafitte, PE Parris CONTEMPORARY MATHEMATICS 447, 57, 2007 | 17 | 2007 |
Fluid-particles flows: A thin spray model with energy exchanges L Boudin, B Boutin, B Fornet, T Goudon, P Lafitte, F Lagoutière, B Merlet ESAIM: Proceedings 28, 195-210, 2009 | 16 | 2009 |
Signal propagation of the MAPK cascade in Xenopus oocytes: role of bistability and ultrasensitivity for a mixed problem R Blossey, JF Bodart, A Devys, T Goudon, P Lafitte Journal of mathematical biology 64, 1-39, 2012 | 13 | 2012 |
The lovebirds problem: why solve Hamilton-Jacobi-Bellman equations matters in love affairs T Goudon, P Lafitte Acta Applicandae Mathematicae 136, 147-165, 2015 | 11 | 2015 |