Florian Méhats

According to our database1, Florian Méhats authored at least 33 papers between 2005 and 2024.

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Bibliography

2024
Homomorphic sign evaluation using functional bootstrapping with a RNS representation of integers.
IACR Cryptol. ePrint Arch., 2024

Fully Homomorphic Encryption on large integers.
IACR Cryptol. ePrint Arch., 2024

2023
Symplectic learning for Hamiltonian neural networks.
J. Comput. Phys., December, 2023

Machine Learning Methods for Autonomous Ordinary Differential Equations.
CoRR, 2023

Constituency Tree Representation for Argument Unit Recognition.
Proceedings of the 10th Workshop on Argument Mining, 2023

2021
Uniformly accurate schemes for oscillatory stochastic differential equations.
CoRR, 2021

2020
Uniformly Accurate Methods for Three Dimensional Vlasov Equations under Strong Magnetic Field with Varying Direction.
SIAM J. Sci. Comput., 2020

A Micro-Macro Method for a Kinetic Graphene Model in One Space Dimension.
Multiscale Model. Simul., 2020

A New Class of Uniformly Accurate Numerical Schemes for Highly Oscillatory Evolution Equations.
Found. Comput. Math., 2020

2019
Highly Oscillatory Problems with Time-Dependent Vanishing Frequency.
SIAM J. Numer. Anal., 2019

Uniformly accurate methods for Vlasov equations with non-homogeneous strong magnetic field.
Math. Comput., 2019

2017
Highly-oscillatory evolution equations with multiple frequencies: averaging and numerics.
Numerische Mathematik, 2017

Uniformly Accurate Forward Semi-Lagrangian Methods for Highly Oscillatory Vlasov-Poisson Equations.
Multiscale Model. Simul., 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., 2017

2016
Improved error estimates for splitting methods applied to highly-oscillatory nonlinear Schrödinger equations.
Math. Comput., 2016

A kinetic model for the transport of electrons in a graphene layer.
J. Comput. Phys., 2016

2015
Uniformly accurate numerical schemes for highly oscillatory Klein-Gordon and nonlinear Schrödinger equations.
Numerische Mathematik, 2015

Stroboscopic Averaging for the Nonlinear Schrödinger Equation.
Found. Comput. Math., 2015

2014
On the Controllability of Quantum Transport in an Electronic Nanostructure.
SIAM J. Appl. Math., 2014

2013
An Asymptotic Preserving Scheme Based on a New Formulation for NLS in the Semiclassical Limit.
Multiscale Model. Simul., 2013

Asymptotic Preserving schemes for highly oscillatory Vlasov-Poisson equations.
J. Comput. Phys., 2013

Shape dependent controllability of a quantum transistor.
Proceedings of the 52nd IEEE Conference on Decision and Control, 2013

2012
Micro-Macro Schemes for Kinetic Equations Including Boundary Layers.
SIAM J. Sci. Comput., 2012

Stable Ground States and Self-Similar Blow-Up Solutions for the Gravitational Vlasov-Manev System.
SIAM J. Math. Anal., 2012

2011
The Schrödinger-Poisson System on the Sphere.
SIAM J. Math. Anal., 2011

2009
The Strongly Confined Schrödinger--Poisson System for the Transport of Electrons in a Nanowire.
SIAM J. Appl. Math., 2009

2008
Structure of the Linearized Gravitational Vlasov-Poisson System Close to a Polytropic Ground State.
SIAM J. Math. Anal., 2008

2007
Isothermal Quantum Hydrodynamics: Derivation, Asymptotic Analysis, and Simulation.
Multiscale Model. Simul., 2007

An entropic quantum drift-diffusion model for electron transport in resonant tunneling diodes.
J. Comput. Phys., 2007

On a New Isothermal Quantum Euler Model: Derivation, Asymptotic Analysis and Simulation.
Proceedings of the Computational Science, 2007

2005
Entropic Discretization of a Quantum Drift-Diffusion Model.
SIAM J. Numer. Anal., 2005

The Nonlinear Schrödinger Equation with a Strongly Anisotropic Harmonic Potential.
SIAM J. Math. Anal., 2005

Adiabatic Approximation of the Schrödinger-Poisson System with a Partial Confinement.
SIAM J. Math. Anal., 2005


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