Adiabatic Approximation of the Schrödinger-Poisson System with a Partial Confinement. - Naoufel Ben Abdallah; Florian Méhats; Olivier Pinaud (SIAM J. Math. Anal., 2005)

The Nonlinear Schrödinger Equation with a Strongly Anisotropic Harmonic Potential. - Naoufel Ben Abdallah; Florian Méhats; Christian Schmeiser; Rada-Maria Weishäupl (SIAM J. Math. Anal., 2005)

Entropic Discretization of a Quantum Drift-Diffusion Model. - Samy Gallego; Florian Méhats (SIAM J. Numer. Anal., 2005)

On a New Isothermal Quantum Euler Model: Derivation, Asymptotic Analysis and Simulation. - Pierre Degond; Samy Gallego; Florian Méhats (International Conference on Computational Science (1), 2007)

An entropic quantum drift-diffusion model for electron transport in resonant tunneling diodes. - Pierre Degond; Samy Gallego; Florian Méhats (J. Comput. Phys., 2007)

Isothermal Quantum Hydrodynamics: Derivation, Asymptotic Analysis, and Simulation. - Pierre Degond; Samy Gallego; Florian Méhats (Multiscale Model. Simul., 2007)

Structure of the Linearized Gravitational Vlasov-Poisson System Close to a Polytropic Ground State. - Mohammed Lemou; Florian Méhats; Pierre Raphaël (SIAM J. Math. Anal., 2008)

The Strongly Confined Schrödinger–Poisson System for the Transport of Electrons in a Nanowire. - Naoufel Ben Abdallah; François Castella; Fanny Delebecque-Fendt; Florian Méhats (SIAM J. Appl. Math., 2009)

The Schrödinger-Poisson System on the Sphere. - Patrick Gérard; Florian Méhats (SIAM J. Math. Anal., 2011)

Stable Ground States and Self-Similar Blow-Up Solutions for the Gravitational Vlasov-Manev System. - Mohammed Lemou; Florian Méhats; Cyril Rigault (SIAM J. Math. Anal., 2012)

Micro-Macro Schemes for Kinetic Equations Including Boundary Layers. - Mohammed Lemou; Florian Méhats (SIAM J. Sci. Comput., 2012)

Shape dependent controllability of a quantum transistor. - Florian Méhats; Yannick Privat; Mario Sigalotti (CDC, 2013)

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

An Asymptotic Preserving Scheme Based on a New Formulation for NLS in the Semiclassical Limit. - Christophe Besse; Rémi Carles; Florian Méhats (Multiscale Model. Simul., 2013)

On the Controllability of Quantum Transport in an Electronic Nanostructure. - Florian Méhats; Yannick Privat; Mario Sigalotti (SIAM J. Appl. Math., 2014)

Stroboscopic Averaging for the Nonlinear Schrödinger Equation. - François Castella; Philippe Chartier; Florian Méhats; Ander Murua (Found. Comput. Math., 2015)

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

A kinetic model for the transport of electrons in a graphene layer. - Clotilde Fermanian Kammerer; Florian Méhats (J. Comput. Phys., 2016)

Improved error estimates for splitting methods applied to highly-oscillatory nonlinear Schrödinger equations. - Philippe Chartier; Florian Méhats; Mechthild Thalhammer; Yong Zhang (Math. Comput., 2016)

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

Uniformly Accurate Forward Semi-Lagrangian Methods for Highly Oscillatory Vlasov-Poisson Equations. - Nicolas Crouseilles; Mohammed Lemou; Florian Méhats; Xiaofei Zhao (Multiscale Model. Simul., 2017)

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

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

Highly Oscillatory Problems with Time-Dependent Vanishing Frequency. - Philippe Chartier; Mohammed Lemou; Florian Méhats; Gilles Vilmart (SIAM J. Numer. Anal., 2019)

A New Class of Uniformly Accurate Numerical Schemes for Highly Oscillatory Evolution Equations. - Philippe Chartier; Mohammed Lemou; Florian Méhats; Gilles Vilmart (Found. Comput. Math., 2020)

A Micro-Macro Method for a Kinetic Graphene Model in One Space Dimension. - Nicolas Crouseilles; Shi Jin; Mohammed Lemou; Florian Méhats (Multiscale Model. Simul., 2020)

Uniformly Accurate Methods for Three Dimensional Vlasov Equations under Strong Magnetic Field with Varying Direction. - Philippe Chartier; Nicolas Crouseilles; Mohammed Lemou; Florian Méhats; Xiaofei Zhao (SIAM J. Sci. Comput., 2020)

Uniformly accurate schemes for oscillatory stochastic differential equations. - Ibrahim Almuslimani; Philippe Chartier; Mohammed Lemou; Florian Méhats (CoRR, 2021)

Constituency Tree Representation for Argument Unit Recognition. - Samuel Guilluy; Florian Méhats; Billal Chouli (ArgMining@EMNLP, 2023)

Machine Learning Methods for Autonomous Ordinary Differential Equations. - Maxime Bouchereau; Philippe Chartier; Mohammed Lemou; Florian Méhats (CoRR, 2023)

Symplectic learning for Hamiltonian neural networks. - Marco David; Florian Méhats (J. Comput. Phys., 2023)

Homomorphic Sign Evaluation with a RNS Representation of Integers. - Philippe Chartier; Michel Koskas; Mohammed Lemou; Florian Méhats (ASIACRYPT (1), 2024)

Fully Homomorphic Encryption on large integers. - Philippe Chartier; Michel Koskas; Mohammed Lemou; Florian Méhats (IACR Cryptol. ePrint Arch., 2024)

Homomorphic sign evaluation using functional bootstrapping with a RNS representation of integers. - Philippe Chartier; Michel Koskas; Mohammed Lemou; Florian Méhats (IACR Cryptol. ePrint Arch., 2024)