Publications

Philippe Chartier, Michel Koskas, Mohammed Lemou, Florian Méhats (2025). Homomorphic sign evaluation with a RNS representation of integers. Advances in cryptology—ASIACRYPT 2024. Part I.

Cite DOI URL

Maxime Bouchereau, Philippe Chartier, Mohammed Lemou, Florian Méhats (2024). Machine learning methods for autonomous ordinary differential equations. Commun. Math. Sci..

Cite DOI URL

Nicolas Crouseilles, Mohammed Lemou, Guillaume Morel, Pierre Navaro (2024). A well-balanced scheme using exact solutions to the two species Vlasov-Poisson system. CEMRACS 2022—transport in physics, biology and urban traffic.

Cite

Ibrahim Almuslimani, Philippe Chartier, Mohammed Lemou, Florian Méhats (2022). Uniformly accurate schemes for drift-oscillatory stochastic differential equations. Appl. Numer. Math..

Cite DOI URL

Philippe Chartier, Mohammed Lemou, Florian Méhats, Xiaofei Zhao (2022). Derivative-free high-order uniformly accurate schemes for highly oscillatory systems. IMA J. Numer. Anal..

Cite DOI URL

Philippe Chartier, Mohammed Lemou, Léopold Trémant (2022). A uniformly accurate numerical method for a class of dissipative systems. Math. Comp..

Cite DOI URL

Philippe Chartier, Nicolas Crouseilles, Mohammed Lemou, Florian Méhats, Xiaofei Zhao (2020). Uniformly accurate methods for three dimensional Vlasov equations under strong magnetic field with varying direction. SIAM J. Sci. Comput..

Cite DOI URL

M. Lemou, A. M. Luz, F. Méhats (2020). Nonlinear instability of inhomogeneous steady states solutions to the HMF model. J. Stat. Phys..

Cite DOI URL

Nicolas Crouseilles, Shi Jin, Mohammed Lemou, Liu Liu (2020). Nonlinear geometric optics based multiscale stochastic Galerkin methods for highly oscillatory transport equations with random inputs. ESAIM Math. Model. Numer. Anal..

Cite DOI URL

Philippe Chartier, Nicolas Crouseilles, Mohammed Lemou, Florian Méhats (2020). Averaging of highly-oscillatory transport equations. Kinet. Relat. Models.

Cite DOI URL

Anaïs Crestetto, Nicolas Crouseilles, Giacomo Dimarco, Mohammed Lemou (2020). A new deviational asymptotic preserving Monte Carlo method for the homogeneous Boltzmann equation. Commun. Math. Sci..

Cite DOI URL

Philippe Chartier, Mohammed Lemou, Florian Méhats, Gilles Vilmart (2020). A new class of uniformly accurate numerical schemes for highly oscillatory evolution equations. Found. Comput. Math..

Cite DOI URL

Nicolas Crouseilles, Shi Jin, Mohammed Lemou, Florian Méhats (2020). A micro-macro method for a kinetic graphene model in one space dimension. Multiscale Model. Simul..

Cite DOI URL

Philippe Chartier, Nicolas Crouseilles, Mohammed Lemou, Florian Méhats, Xiaofei Zhao (2019). Uniformly accurate methods for Vlasov equations with non-homogeneous strong magnetic field. Math. Comp..

Cite DOI URL

Marine Fontaine, Mohammed Lemou, Florian Méhats (2019). Stable ground states for the HMF Poisson model. Ann. Inst. H. Poincaré C Anal. Non Lináire.

Cite DOI URL

Ph. Chartier, M. Lemou, F. Méhats, G. Vilmart (2019). Highly oscillatory problems with time-dependent vanishing frequency. SIAM J. Numer. Anal..

Cite DOI URL

Anaïs Crestetto, Nicolas Crouseilles, Giacomo Dimarco, Mohammed Lemou (2019). Asymptotically complexity diminishing schemes (ACDS) for kinetic equations in the diffusive scaling. J. Comput. Phys..

Cite DOI URL

Anaïs Crestetto, Nicolas Crouseilles, Mohammed Lemou (2018). A particle micro-macro decomposition based numerical scheme for collisional kinetic equations in the diffusion scaling. Commun. Math. Sci..

Cite DOI URL

Nicolas Crouseilles, Mohammed Lemou, Florian Méhats, Xiaofei Zhao (2017). Uniformly accurate particle-in-cell method for the long time solution of the two-dimensional Vlasov-Poisson equation with uniform strong magnetic field. J. Comput. Phys..

Cite DOI URL

Mohammed Lemou, Florian Méhats, Xiaofei Zhao (2017). Uniformly accurate numerical schemes for the nonlinear Dirac equation in the nonrelativistic limit regime. Commun. Math. Sci..

Cite DOI URL

Nicolas Crouseilles, Mohammed Lemou, Florian Méhats, Xiaofei Zhao (2017). Uniformly accurate forward semi-Lagrangian methods for highly oscillatory Vlasov-Poisson equations. Multiscale Model. Simul..

Cite DOI URL

Mohammed Lemou, Ana Maria Luz, Florian Méhats (2017). Nonlinear stability criteria for the HMF model. Arch. Ration. Mech. Anal..

Cite DOI URL

Nicolas Crouseilles, Shi Jin, Mohammed Lemou (2017). Nonlinear geometric optics method-based multi-scale numerical schemes for a class of highly oscillatory transport equations. Math. Models Methods Appl. Sci..

Cite DOI URL

Philippe Chartier, Mohammed Lemou, Florian Méhats (2017). Highly-oscillatory evolution equations with multiple frequencies: averaging and numerics. Numer. Math..

Cite DOI URL

Nicolas Crouseilles, Giacomo Dimarco, Mohammed Lemou (2017). Asymptotic preserving and time diminishing schemes for rarefied gas dynamic. Kinet. Relat. Models.

Cite DOI URL

Tong Yang, Hongjun Yu (2016). Spectrum analysis of some kinetic equations. Arch. Ration. Mech. Anal..

Cite DOI URL

Nicolas Crouseilles, Hélène Hivert, Mohammed Lemou (2016). Numerical schemes for kinetic equations in the anomalous diffusion limit. Part II: Degenerate collision frequency. SIAM J. Sci. Comput..

Cite DOI URL

Nicolas Crouseilles, Hélène Hivert, Mohammed Lemou (2016). Numerical schemes for kinetic equations in the anomalous diffusion limit. Part I: The case of heavy-tailed equilibrium. SIAM J. Sci. Comput..

Cite DOI URL

Mohammed Lemou (2016). Extended rearrangement inequalities and applications to some quantitative stability results. Comm. Math. Phys..

Cite DOI URL

Nicolas Crouseilles, Mohammed Lemou, SV Raghurama Rao, Ankit Ruhi, Muddu Sekhar (2016). Asymptotic preserving scheme for a kinetic model describing incompressible fluids. Kinet. Relat. Models.

Cite DOI URL

Nicolas Crouseilles, Mohammed Lemou, Gilles Vilmart (2016). Asymptotic preserving numerical schemes for multiscale parabolic problems. C. R. Math. Acad. Sci. Paris.

Cite DOI URL

Bokai Yan (2016). A hybrid method with deviational particles for spatial inhomogeneous plasma. J. Comput. Phys..

Cite DOI URL

Philippe Chartier, Nicolas Crouseilles, Mohammed Lemou, Florian Méhats (2015). Uniformly accurate numerical schemes for highly oscillatory Klein-Gordon and nonlinear Schrödinger equations. Numer. Math..

Cite DOI URL

Nicolas Crouseilles, Hélène Hivert, Mohammed Lemou (2015). Multiscale numerical schemes for kinetic equations in the anomalous diffusion limit. C. R. Math. Acad. Sci. Paris.

Cite DOI URL

Jürgen Fuhrmann, Mario Ohlberger, Christian Rohde (2014). Finite volumes for complex applications VII. Elliptic, parabolic and hyperbolic problems. Springer, Cham.

Cite DOI URL

Anaïs Crestetto, Nicolas Crouseilles, Mohammed Lemou (2014). Asymptotic-preserving scheme based on a finite volume/particle-in-cell coupling for Boltzmann-BGK-like equations in the diffusion scaling. Finite volumes for complex applications VII. Elliptic, parabolic and hyperbolic problems.

Cite DOI URL

Clément Mouhot (2013). Stabilité orbitale pour le système de Vlasov-Poisson gravitationnel (d'aprs̀ Lemou-Mh́ats-Raphaël, Guo, Lin, Rein et al.). Astérisque.

Cite

(2013). Séminaire Laurent Schwartz---q́uations aux d'ív'e ́partielles et applications. Ann'ee0́11--2012. École Polytechnique, Centre de Mathḿatiques, Palaiseau.

Cite

Mohammed Lemou (2013). Non linear stability of spherical gravitational systems described by the Vlasov-Poisson equation. Séminaire Laurent Schwartz—q́uations aux d’ív’e ́partielles et applications. Ann’ee0́11–2012.

Cite

Nicolas Crouseilles, Mohammed Lemou, Florian Méhats (2013). Asymptotic preserving schemes for highly oscillatory Vlasov-Poisson equations. J. Comput. Phys..

Cite DOI URL

Mohammed Lemou, Florian Méhats, Cyril Rigault (2012). Stable ground states and self-similar blow-up solutions for the gravitational Vlasov-Manev system. SIAM J. Math. Anal..

Cite DOI URL

Mohammed Lemou, Florian Méhats, Pierre Raphael (2012). Orbital stability of spherical galactic models. Invent. Math..

Cite DOI URL

Mohammed Lemou, Florian Méhats (2012). Micro-macro schemes for kinetic equations including boundary layers. SIAM J. Sci. Comput..

Cite DOI URL

Anaïs Crestetto, Nicolas Crouseilles, Mohammed Lemou (2012). Kinetic/fluid micro-macro numerical schemes for Vlasov-Poisson-BGK equation using particles. Kinet. Relat. Models.

Cite DOI URL

Nicolas Crouseilles, Mohammed Lemou (2011). An asymptotic preserving scheme based on a micro-macro decomposition for collisional Vlasov equations: diffusion and high-field scaling limits. Kinet. Relat. Models.

Cite DOI URL

Mohammed Lemou, Florian Méhats, Pierre Raphael (2011). A new variational approach to the stability of gravitational systems. Comm. Math. Phys..

Cite DOI URL

Mohammed Lemou, Florian Méhats (2011). A boundary matching micro/macro decomposition for kinetic equations. C. R. Math. Acad. Sci. Paris.

Cite DOI URL

Mohammed Lemou (2010). Relaxed micro-macro schemes for kinetic equations. C. R. Math. Acad. Sci. Paris.

Cite DOI URL

Pierre Carcaud, Pierre-Henri Chavanis, Mohammed Lemou, Florian Méhats (2010). Evaporation law in kinetic gravitational systems described by simplified Landau models. Discrete Contin. Dyn. Syst. Ser. B.

Cite DOI URL

Jian-Guo Liu, Luc Mieussens (2010). Analysis of an asymptotic preserving scheme for linear kinetic equations in the diffusion limit. SIAM J. Numer. Anal..

Cite DOI URL

Mohammed Lemou, Florian Méhats, Pierre Raphael (2009). Stable ground states for the relativistic gravitational Vlasov-Poisson system. Comm. Partial Differential Equations.

Cite DOI URL

Mounir Bennoune, Mohammed Lemou, Luc Mieussens (2009). An asymptotic preserving scheme for the Kac model of the Boltzmann equation in the diffusion limit. Contin. Mech. Thermodyn..

Cite DOI URL

Mohammed Lemou, Florian Méhats, Pierre Raphael (2009). A new variational approach to the stability of gravitational systems. C. R. Math. Acad. Sci. Paris.

Cite DOI URL

Mounir Bennoune, Mohammed Lemou, Luc Mieussens (2008). Uniformly stable numerical schemes for the Boltzmann equation preserving the compressible Navier-Stokes asymptotics. J. Comput. Phys..

Cite DOI URL

Mohammed Lemou, Florian Méhats, Pierre Raphael (2008). The orbital stability of the ground states and the singularity formation for the gravitational Vlasov Poisson system. Arch. Ration. Mech. Anal..

Cite DOI URL

Mohammed Lemou, Florian Méhats, Pierre Raphael (2008). Structure of the linearized gravitational Vlasov-Poisson system close to a polytropic ground state. SIAM J. Math. Anal..

Cite DOI URL

Mohammed Lemou, Florian Méhats, Pierre Raphael (2008). Stable self-similar blow up dynamics for the three dimensional relativistic gravitational Vlasov-Poisson system. J. Amer. Math. Soc..

Cite DOI URL

Mohammed Lemou, Luc Mieussens (2008). A new asymptotic preserving scheme based on micro-macro formulation for linear kinetic equations in the diffusion limit. SIAM J. Sci. Comput..

Cite DOI URL

Mohammed Lemou, Florian Méhats, Pierre Raphael (2007). Uniqueness of the critical mass blow up solution for the four dimensional gravitational Vlasov-Poisson system. Ann. Inst. H. Poincaré C Anal. Non Lináire.

Cite DOI URL

Mohammed Lemou, Luc Mieussens (2007). Time implicit schemes and fast approximations of the Fokker-Planck-Landau equation. Bull. Inst. Math. Acad. Sin. (N.S.).

Cite

P. H. Chavanis, M. Lemou (2007). Kinetic theory of point vortices in two dimensions: analytical results and numerical simulations. Eur. Phys. J. B.

Cite DOI URL

Véronique Bagland, Pierre Degond, Mohammed Lemou (2006). Moment systems derived from relativistic kinetic equations. J. Stat. Phys..

Cite DOI URL

Pierre-Henri Chavanis, Mohammed Lemou (2005). Relaxation of the distribution function tails for systems described by Fokker-Planck equations. Phys. Rev. E (3).

Cite DOI URL

Mohammed Lemou, Florian Méhats, Pierre Raphael (2005). Orbital stability and singularity formation for Vlasov-Poisson systems. C. R. Math. Acad. Sci. Paris.

Cite DOI URL

Mohammed Lemou, Luc Mieussens (2005). Implicit schemes for the Fokker-Planck-Landau equation. SIAM J. Sci. Comput..

Cite DOI URL

Olivier Bokanowski, Mohammed Lemou (2005). Fast multipole method for multivariable integrals. SIAM J. Numer. Anal..

Cite DOI URL

Nicolas Crouseilles, Pierre Degond, Mohammed Lemou (2005). A hybrid kinetic-fluid model for solving the Vlasov-BGK equation. J. Comput. Phys..

Cite DOI URL

Mohammed Lemou (2004). On multipole approximations of the Fokker-Planck-Landau operator. Modeling and computational methods for kinetic equations.

Cite

Piotr Biler, Grzegorz Karch, Tadeusz Nadzieja (2004). Nonlocal elliptic and parabolic problems. Proceedings of the conference held in Bpolhk edlewo, September 12–15, 2003.

Cite DOI URL

Pierre Degond, Lorenzo Pareschi, Giovanni Russo (2004). Modeling and computational methods for kinetic equations. Birkhäuser Boston, Inc., Boston, MA.

Cite DOI URL

P. Degond, M. Lemou, J. L. Lòpez (2004). Fluids with multivalued internal energy: the anisotropic case. Transport in transition regimes (Minneapolis, MN, 2000).

Cite DOI URL

Mohammed Lemou, Luc Mieussens (2004). Fast implicit schemes for the Fokker-Planck-Landau equation. C. R. Math. Acad. Sci. Paris.

Cite DOI URL

Véronique Bagland, Mohammed Lemou (2004). Equilibrium states for the Landau-Fermi-Dirac equation. Nonlocal elliptic and parabolic problems.

Cite DOI URL

P. Degond, M. Lemou, M. Picasso (2004). Constitutive relations for viscoelastic fluid models derived from kinetic theory. Dispersive transport equations and multiscale models (Minneapolis, MN, 2000).

Cite DOI URL

Pierre-Henri Chavanis, Philippe Lauren ̧cot, Mohammed Lemou (2004). Chapman-Enskog derivation of the generalized Smoluchowski equation. Phys. A.

Cite DOI URL

N. Crouseilles, P. Degond, M. Lemou (2004). A hybrid kinetic/fluid model for solving the gas dynamics Boltzmann-BGK equation. J. Comput. Phys..

Cite DOI URL

Xavier Antoine, M. Lemou (2003). Wavelet approximations of a collision operator in kinetic theory. C. R. Math. Acad. Sci. Paris.

Cite DOI URL

Nicolas Crouseilles, Pierre Degond, M. Lemou (2003). Hybrid kinetic/fluid models for nonequilibrium systems. C. R. Math. Acad. Sci. Paris.

Cite DOI URL

P. Degond, M. Lemou, Jos\ ́L. López (2003). A kinetic description of anisotropic fluids with multivalued internal energy. Eur. J. Mech. B Fluids.

Cite DOI URL

P. Degond, M. Lemou, M. Picasso (2002). Viscoelastic fluid models derived from kinetic equations for polymers. SIAM J. Appl. Math..

Cite DOI URL

P. Degond, M. Lemou (2002). Turbulence models for incompressible fluids derived from kinetic theory. J. Math. Fluid Mech..

Cite DOI URL

Yan Guo (2002). The Landau equation in a periodic box. Comm. Math. Phys..

Cite DOI URL

P. Degond, M. Lemou (2001). Towards a kinetic model of turbulent incompressible fluids. Hyperbolic problems: theory, numerics, applications, Vol. I, II (Magdeburg, 2000).

Cite

Pierre Degond, Mohammed Lemou (2001). On the viscosity and thermal conduction of fluids with multivalued internal energy. Eur. J. Mech. B Fluids.

Cite DOI URL

Heinrich Freistühler, Gerald Warnecke (2001). Hyperbolic problems: theory, numerics, applications. Vol I, II. Proceedings of the 8th International Conference held in Magdeburg, February 27–March 3, 2000.

Cite

M. Lemou (2000). Numerical algorithms for axisymmetric Fokker-Planck-Landau operators. J. Comput. Phys..

Cite DOI URL

M. Lemou (2000). Linearized quantum and relativistic Fokker-Planck-Landau equations. Math. Methods Appl. Sci..

Cite DOI URL

Mohammed Lemou (1998). Opérateur de Fokker-Planck-Landau axisymt́rique. C. R. Acad. Sci. Paris Sér. I Math..

Cite DOI URL

M. Lemou (1998). Multipole expansions for the Fokker-Planck-Landau operator. Numer. Math..

Cite DOI URL

Oliver Bokanowski, Mohammed Lemou (1998). Fast multipole method for multidimensional integrals. C. R. Acad. Sci. Paris Sér. I Math..

Cite DOI URL

C. Buet, S. Cordier, P. Degond, M. Lemou (1997). Fast algorithms for numerical, conservative, and entropy approximations of the Fokker-Planck-Landau equation. J. Comput. Phys..

Cite DOI URL

P. Degond, M. Lemou (1997). Dispersion relations for the linearized Fokker-Planck equation. Arch. Rational Mech. Anal..

Cite DOI URL

Pierre Degond, Mohamed Lemou (1995). Relations de dispersion pour l'équation de Fokker-Planck lináris'. C. R. Acad. Sci. Paris Sér. I Math..

Cite

Mohammed Lemou (1994). Solutions exactes de l'équation de Fokker-Planck. C. R. Acad. Sci. Paris Sér. I Math..

Cite