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    <title>Publications | Mohammed Lemou</title>
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      <title>Publications</title>
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      <title>Homomorphic sign evaluation with a RNS representation of integers</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-4872750/</link>
      <pubDate>Thu, 13 Mar 2025 16:09:16 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-4872750/</guid>
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      <title>A well-balanced scheme using exact solutions to the two species Vlasov-Poisson system</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-4859410/</link>
      <pubDate>Mon, 01 Jan 2024 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-4859410/</guid>
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      <title>Machine learning methods for autonomous ordinary differential equations</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-4779661/</link>
      <pubDate>Mon, 01 Jan 2024 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-4779661/</guid>
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      <title>A uniformly accurate numerical method for a class of dissipative systems</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-4379978/</link>
      <pubDate>Sat, 01 Jan 2022 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-4379978/</guid>
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      <title>Derivative-free high-order uniformly accurate schemes for highly oscillatory systems</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-4410754/</link>
      <pubDate>Sat, 01 Jan 2022 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-4410754/</guid>
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      <title>Uniformly accurate schemes for drift-oscillatory stochastic differential equations</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-4451388/</link>
      <pubDate>Sat, 01 Jan 2022 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-4451388/</guid>
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    <item>
      <title>A micro-macro method for a kinetic graphene model in one space dimension</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-4079234/</link>
      <pubDate>Wed, 01 Jan 2020 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-4079234/</guid>
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    <item>
      <title>A new class of uniformly accurate numerical schemes for highly oscillatory evolution equations</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-4056924/</link>
      <pubDate>Wed, 01 Jan 2020 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-4056924/</guid>
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    <item>
      <title>A new deviational asymptotic preserving Monte Carlo method for the homogeneous Boltzmann equation</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-4195575/</link>
      <pubDate>Wed, 01 Jan 2020 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-4195575/</guid>
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    <item>
      <title>Averaging of highly-oscillatory transport equations</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-4179250/</link>
      <pubDate>Wed, 01 Jan 2020 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-4179250/</guid>
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    <item>
      <title>Nonlinear geometric optics based multiscale stochastic Galerkin methods for highly oscillatory transport equations with random inputs</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-4150228/</link>
      <pubDate>Wed, 01 Jan 2020 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-4150228/</guid>
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    <item>
      <title>Nonlinear instability of inhomogeneous steady states solutions to the HMF model</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-4059954/</link>
      <pubDate>Wed, 01 Jan 2020 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-4059954/</guid>
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    <item>
      <title>Uniformly accurate methods for three dimensional Vlasov equations under strong magnetic field with varying direction</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-4089509/</link>
      <pubDate>Wed, 01 Jan 2020 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-4089509/</guid>
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    <item>
      <title>Asymptotically complexity diminishing schemes (ACDS) for kinetic equations in the diffusive scaling</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-3960148/</link>
      <pubDate>Tue, 01 Jan 2019 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-3960148/</guid>
      <description></description>
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    <item>
      <title>Highly oscillatory problems with time-dependent vanishing frequency</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-3945244/</link>
      <pubDate>Tue, 01 Jan 2019 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-3945244/</guid>
      <description></description>
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    <item>
      <title>Stable ground states for the HMF Poisson model</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-3906871/</link>
      <pubDate>Tue, 01 Jan 2019 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-3906871/</guid>
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    <item>
      <title>Uniformly accurate methods for Vlasov equations with non-homogeneous strong magnetic field</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-3985473/</link>
      <pubDate>Tue, 01 Jan 2019 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-3985473/</guid>
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    <item>
      <title>A particle micro-macro decomposition based numerical scheme for collisional kinetic equations in the diffusion scaling</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-3878147/</link>
      <pubDate>Mon, 01 Jan 2018 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-3878147/</guid>
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    <item>
      <title>Asymptotic preserving and time diminishing schemes for rarefied gas dynamic</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-3591127/</link>
      <pubDate>Sun, 01 Jan 2017 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-3591127/</guid>
      <description></description>
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    <item>
      <title>Highly-oscillatory evolution equations with multiple frequencies: averaging and numerics</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-3671592/</link>
      <pubDate>Sun, 01 Jan 2017 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-3671592/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Nonlinear geometric optics method-based multi-scale numerical schemes for a class of highly oscillatory transport equations</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-3691812/</link>
      <pubDate>Sun, 01 Jan 2017 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-3691812/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Nonlinear stability criteria for the HMF model</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-3614750/</link>
      <pubDate>Sun, 01 Jan 2017 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-3614750/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Uniformly accurate forward semi-Lagrangian methods for highly oscillatory Vlasov-Poisson equations</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-3635455/</link>
      <pubDate>Sun, 01 Jan 2017 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-3635455/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Uniformly accurate numerical schemes for the nonlinear Dirac equation in the nonrelativistic limit regime</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-3659260/</link>
      <pubDate>Sun, 01 Jan 2017 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-3659260/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Uniformly accurate particle-in-cell method for the long time solution of the two-dimensional Vlasov-Poisson equation with uniform strong magnetic field</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-3670633/</link>
      <pubDate>Sun, 01 Jan 2017 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-3670633/</guid>
      <description></description>
    </item>
    
    <item>
      <title>A hybrid method with deviational particles for spatial inhomogeneous plasma</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-3454421/</link>
      <pubDate>Fri, 01 Jan 2016 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-3454421/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Asymptotic preserving numerical schemes for multiscale parabolic problems</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-3463023/</link>
      <pubDate>Fri, 01 Jan 2016 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-3463023/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Asymptotic preserving scheme for a kinetic model describing incompressible fluids</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-3422645/</link>
      <pubDate>Fri, 01 Jan 2016 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-3422645/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Extended rearrangement inequalities and applications to some quantitative stability results</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-3554898/</link>
      <pubDate>Fri, 01 Jan 2016 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-3554898/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Numerical schemes for kinetic equations in the anomalous diffusion limit. Part I: The case of heavy-tailed equilibrium</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-3470742/</link>
      <pubDate>Fri, 01 Jan 2016 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-3470742/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Numerical schemes for kinetic equations in the anomalous diffusion limit. Part II: Degenerate collision frequency</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-3535408/</link>
      <pubDate>Fri, 01 Jan 2016 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-3535408/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Spectrum analysis of some kinetic equations</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-3544316/</link>
      <pubDate>Fri, 01 Jan 2016 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-3544316/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Multiscale numerical schemes for kinetic equations in the anomalous diffusion limit</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-3367647/</link>
      <pubDate>Thu, 01 Jan 2015 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-3367647/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Uniformly accurate numerical schemes for highly oscillatory Klein-Gordon and nonlinear Schrödinger equations</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-3300419/</link>
      <pubDate>Thu, 01 Jan 2015 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-3300419/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Asymptotic-preserving scheme based on a finite volume/particle-in-cell coupling for Boltzmann-BGK-like equations in the diffusion scaling</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-3213443/</link>
      <pubDate>Wed, 01 Jan 2014 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-3213443/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Finite volumes for complex applications VII. Elliptic, parabolic and hyperbolic problems</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-3213405/</link>
      <pubDate>Wed, 01 Jan 2014 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-3213405/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Asymptotic preserving schemes for highly oscillatory Vlasov-Poisson equations</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-3066153/</link>
      <pubDate>Tue, 01 Jan 2013 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-3066153/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Non linear stability of spherical gravitational systems described by the Vlasov-Poisson equation</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-3379855/</link>
      <pubDate>Tue, 01 Jan 2013 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-3379855/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Séminaire Laurent Schwartz---q́uations aux d&#39;ív&#39;e ́partielles et applications. Ann&#39;ee0́11--2012</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-3379841/</link>
      <pubDate>Tue, 01 Jan 2013 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-3379841/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Stabilité orbitale pour le système de Vlasov-Poisson gravitationnel (d&#39;aprs̀ Lemou-Mh́ats-Raphaël, Guo, Lin, Rein et al.)</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-3087342/</link>
      <pubDate>Tue, 01 Jan 2013 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-3087342/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Kinetic/fluid micro-macro numerical schemes for Vlasov-Poisson-BGK equation using particles</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-2997591/</link>
      <pubDate>Sun, 01 Jan 2012 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-2997591/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Micro-macro schemes for kinetic equations including boundary layers</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-3023743/</link>
      <pubDate>Sun, 01 Jan 2012 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-3023743/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Orbital stability of spherical galactic models</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-2874937/</link>
      <pubDate>Sun, 01 Jan 2012 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-2874937/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Stable ground states and self-similar blow-up solutions for the gravitational Vlasov-Manev system</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-3023436/</link>
      <pubDate>Sun, 01 Jan 2012 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-3023436/</guid>
      <description></description>
    </item>
    
    <item>
      <title>A boundary matching micro/macro decomposition for kinetic equations</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-2788394/</link>
      <pubDate>Sat, 01 Jan 2011 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-2788394/</guid>
      <description></description>
    </item>
    
    <item>
      <title>A new variational approach to the stability of gravitational systems</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-2770012/</link>
      <pubDate>Sat, 01 Jan 2011 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-2770012/</guid>
      <description></description>
    </item>
    
    <item>
      <title>An asymptotic preserving scheme based on a micro-macro decomposition for collisional Vlasov equations: diffusion and high-field scaling limits</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-2786393/</link>
      <pubDate>Sat, 01 Jan 2011 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-2786393/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Analysis of an asymptotic preserving scheme for linear kinetic equations in the diffusion limit</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-2684343/</link>
      <pubDate>Fri, 01 Jan 2010 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-2684343/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Evaporation law in kinetic gravitational systems described by simplified Landau models</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-2670178/</link>
      <pubDate>Fri, 01 Jan 2010 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-2670178/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Relaxed micro-macro schemes for kinetic equations</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-2607039/</link>
      <pubDate>Fri, 01 Jan 2010 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-2607039/</guid>
      <description></description>
    </item>
    
    <item>
      <title>A new variational approach to the stability of gravitational systems</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-2542905/</link>
      <pubDate>Thu, 01 Jan 2009 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-2542905/</guid>
      <description></description>
    </item>
    
    <item>
      <title>An asymptotic preserving scheme for the Kac model of the Boltzmann equation in the diffusion limit</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-2565121/</link>
      <pubDate>Thu, 01 Jan 2009 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-2565121/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Stable ground states for the relativistic gravitational Vlasov-Poisson system</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-2560298/</link>
      <pubDate>Thu, 01 Jan 2009 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-2560298/</guid>
      <description></description>
    </item>
    
    <item>
      <title>A new asymptotic preserving scheme based on micro-macro formulation for linear kinetic equations in the diffusion limit</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-2460781/</link>
      <pubDate>Tue, 01 Jan 2008 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-2460781/</guid>
      <description></description>
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    <item>
      <title>Stable self-similar blow up dynamics for the three dimensional relativistic gravitational Vlasov-Poisson system</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-2425179/</link>
      <pubDate>Tue, 01 Jan 2008 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-2425179/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Structure of the linearized gravitational Vlasov-Poisson system close to a polytropic ground state</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-2390311/</link>
      <pubDate>Tue, 01 Jan 2008 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-2390311/</guid>
      <description></description>
    </item>
    
    <item>
      <title>The orbital stability of the ground states and the singularity formation for the gravitational Vlasov Poisson system</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-2424993/</link>
      <pubDate>Tue, 01 Jan 2008 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-2424993/</guid>
      <description></description>
    </item>
    
    <item>
      <title>Uniformly stable numerical schemes for the Boltzmann equation preserving the compressible Navier-Stokes asymptotics</title>
      <link>https://lemou.pages.math.cnrs.fr/publication/mr-2403867/</link>
      <pubDate>Tue, 01 Jan 2008 00:00:00 +0000</pubDate>
      <guid>https://lemou.pages.math.cnrs.fr/publication/mr-2403867/</guid>
      <description></description>
    </item>
    
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      <title>Kinetic theory of point vortices in two dimensions: analytical results and numerical simulations</title>
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