Florian Méhats

Publication Activity (10 Years)

Years Active: 2005-2024
Publications (10 Years): 20

Top Topics

Hamilton Jacobi

Homomorphic Encryption

Stochastic Differential Equations

Top Venues

J. Comput. Phys.

IACR Cryptol. ePrint Arch.

Found. Comput. Math.

Publications

Philippe Chartier, Michel Koskas, Mohammed Lemou, Florian Méhats
Homomorphic sign evaluation using functional bootstrapping with a RNS representation of integers. IACR Cryptol. ePrint Arch. 2024 (2024)
Philippe Chartier, Michel Koskas, Mohammed Lemou, Florian Méhats
Fully Homomorphic Encryption on large integers. IACR Cryptol. ePrint Arch. 2024 (2024)
Samuel Guilluy, Florian Méhats, Billal Chouli
Constituency Tree Representation for Argument Unit Recognition. ArgMining@EMNLP (2023)
Maxime Bouchereau, Philippe Chartier, Mohammed Lemou, Florian Méhats
Machine Learning Methods for Autonomous Ordinary Differential Equations. CoRR (2023)
Marco David, Florian Méhats
Symplectic learning for Hamiltonian neural networks. J. Comput. Phys. 494 (2023)
Marco David, Florian Méhats
Symplectic Learning for Hamiltonian Neural Networks. CoRR (2021)
Ibrahim Almuslimani, Philippe Chartier, Mohammed Lemou, Florian Méhats
Uniformly accurate schemes for oscillatory stochastic differential equations. CoRR (2021)
Philippe Chartier, Mohammed Lemou, Florian Méhats, Gilles Vilmart
A New Class of Uniformly Accurate Numerical Schemes for Highly Oscillatory Evolution Equations. Found. Comput. Math. 20 (1) (2020)
Philippe Chartier, Nicolas Crouseilles, Mohammed Lemou, Florian Méhats, Xiaofei Zhao
Uniformly Accurate Methods for Three Dimensional Vlasov Equations under Strong Magnetic Field with Varying Direction. SIAM J. Sci. Comput. 42 (2) (2020)
Nicolas Crouseilles, Shi Jin, Mohammed Lemou, Florian Méhats
A Micro-Macro Method for a Kinetic Graphene Model in One Space Dimension. Multiscale Model. Simul. 18 (1) (2020)
Philippe Chartier, Nicolas Crouseilles, Mohammed Lemou, Florian Méhats, Xiaofei Zhao
Uniformly accurate methods for Vlasov equations with non-homogeneous strong magnetic field. Math. Comput. 88 (320) (2019)
Philippe Chartier, Nicolas Crouseilles, Mohammed Lemou, Florian Méhats, Xiaofei Zhao
Uniformly accurate methods for three dimensional Vlasov equations under strong magnetic field with varying direction. CoRR (2019)
Philippe Chartier, Mohammed Lemou, Florian Méhats, Gilles Vilmart
Highly Oscillatory Problems with Time-Dependent Vanishing Frequency. SIAM J. Numer. Anal. 57 (2) (2019)
Nicolas Crouseilles, Mohammed Lemou, Florian Méhats, Xiaofei Zhao
Uniformly Accurate Forward Semi-Lagrangian Methods for Highly Oscillatory Vlasov-Poisson Equations. Multiscale Model. Simul. 15 (2) (2017)
Philippe Chartier, Mohammed Lemou, Florian Méhats
Highly-oscillatory evolution equations with multiple frequencies: averaging and numerics. Numerische Mathematik 136 (4) (2017)
Nicolas Crouseilles, Mohammed Lemou, Florian Méhats, Xiaofei Zhao
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. 346 (2017)
Clotilde Fermanian Kammerer, Florian Méhats
A kinetic model for the transport of electrons in a graphene layer. J. Comput. Phys. 327 (2016)
Philippe Chartier, Florian Méhats, Mechthild Thalhammer, Yong Zhang
Improved error estimates for splitting methods applied to highly-oscillatory nonlinear Schrödinger equations. Math. Comput. 85 (302) (2016)
François Castella, Philippe Chartier, Florian Méhats, Ander Murua
Stroboscopic Averaging for the Nonlinear Schrödinger Equation. Found. Comput. Math. 15 (2) (2015)
Philippe Chartier, Nicolas Crouseilles, Mohammed Lemou, Florian Méhats
Uniformly accurate numerical schemes for highly oscillatory Klein-Gordon and nonlinear Schrödinger equations. Numerische Mathematik 129 (2) (2015)
Florian Méhats, Yannick Privat, Mario Sigalotti
On the Controllability of Quantum Transport in an Electronic Nanostructure. SIAM J. Appl. Math. 74 (6) (2014)
Nicolas Crouseilles, Mohammed Lemou, Florian Méhats
Asymptotic Preserving schemes for highly oscillatory Vlasov-Poisson equations. J. Comput. Phys. 248 (2013)
Florian Méhats, Yannick Privat, Mario Sigalotti
Shape dependent controllability of a quantum transistor. CDC (2013)
Christophe Besse, Rémi Carles, Florian Méhats
An Asymptotic Preserving Scheme Based on a New Formulation for NLS in the Semiclassical Limit. Multiscale Model. Simul. 11 (4) (2013)
Mohammed Lemou, Florian Méhats
Micro-Macro Schemes for Kinetic Equations Including Boundary Layers. SIAM J. Sci. Comput. 34 (6) (2012)
Mohammed Lemou, Florian Méhats, Cyril Rigault
Stable Ground States and Self-Similar Blow-Up Solutions for the Gravitational Vlasov-Manev System. SIAM J. Math. Anal. 44 (6) (2012)
Patrick Gérard, Florian Méhats
The Schrödinger-Poisson System on the Sphere. SIAM J. Math. Anal. 43 (3) (2011)
Naoufel Ben Abdallah, François Castella, Fanny Delebecque-Fendt, Florian Méhats
The Strongly Confined Schrödinger--Poisson System for the Transport of Electrons in a Nanowire. SIAM J. Appl. Math. 69 (4) (2009)
Mohammed Lemou, Florian Méhats, Pierre Raphaël
Structure of the Linearized Gravitational Vlasov-Poisson System Close to a Polytropic Ground State. SIAM J. Math. Anal. 39 (6) (2008)
Pierre Degond, Samy Gallego, Florian Méhats
Isothermal Quantum Hydrodynamics: Derivation, Asymptotic Analysis, and Simulation. Multiscale Model. Simul. 6 (1) (2007)
Pierre Degond, Samy Gallego, Florian Méhats
An entropic quantum drift-diffusion model for electron transport in resonant tunneling diodes. J. Comput. Phys. 221 (1) (2007)
Pierre Degond, Samy Gallego, Florian Méhats
On a New Isothermal Quantum Euler Model: Derivation, Asymptotic Analysis and Simulation. International Conference on Computational Science (1) (2007)
Naoufel Ben Abdallah, Florian Méhats, Christian Schmeiser, Rada-Maria Weishäupl
The Nonlinear Schrödinger Equation with a Strongly Anisotropic Harmonic Potential. SIAM J. Math. Anal. 37 (1) (2005)
Naoufel Ben Abdallah, Florian Méhats, Olivier Pinaud
Adiabatic Approximation of the Schrödinger-Poisson System with a Partial Confinement. SIAM J. Math. Anal. 36 (3) (2005)
Samy Gallego, Florian Méhats
Entropic Discretization of a Quantum Drift-Diffusion Model. SIAM J. Numer. Anal. 43 (5) (2005)