Francis Filbet

Orcid: 0000-0002-2975-4450

According to our database1, Francis Filbet authored at least 45 papers between 2001 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
A structure and asymptotic preserving scheme for the Vlasov-Poisson-Fokker-Planck model.
J. Comput. Phys., February, 2024

On the approximation of the von Neumann equation in the semi-classical limit. Part I : numerical algorithm.
CoRR, 2024

2023
On the Convergence of Discontinuous Galerkin/Hermite Spectral Methods for the Vlasov-Poisson System.
SIAM J. Numer. Anal., August, 2023

On a discrete framework of hypocoercivity for kinetic equations.
Math. Comput., August, 2023

Asymptotically preserving particle methods for strongly magnetized plasmas in a torus.
J. Comput. Phys., May, 2023

Concentration Phenomena in Fitzhugh-Nagumo Equations: A Mesoscopic Approach.
SIAM J. Math. Anal., February, 2023

2022
Fokker-Planck multi-species equations in the adiabatic asymptotics.
J. Comput. Phys., 2022

On the stability of conservative discontinuous Galerkin/Hermite spectral methods for the Vlasov-Poisson system.
J. Comput. Phys., 2022

Asymptotically preserving particle methods for strongly magnetizedplasmas in a torus.
CoRR, 2022

2021
Convergence analysis of asymptotic preserving schemes for strongly magnetized plasmas.
Numerische Mathematik, 2021

2020
Convergence of a finite volume scheme for a system of interacting species with cross-diffusion.
Numerische Mathematik, 2020

A spectral collocation method for the Landau equation in plasma physics.
CoRR, 2020

Conservative discontinuous Galerkin/Hermite Spectral Method for the Vlasov-Poisson System.
CoRR, 2020

Asymptotic preserving schemes for the FitzHugh-Nagumo transport equation with strong local interactions.
CoRR, 2020

2019
Rigorous Derivation of the Nonlocal Reaction-Diffusion Fitzhugh-Nagumo System.
SIAM J. Math. Anal., 2019

2018
On the Vlasov-Maxwell System with a Strong Magnetic Field.
SIAM J. Appl. Math., 2018

A p-Adaptive Local Discontinuous Galerkin Level Set Method for Willmore Flow.
J. Sci. Comput., 2018

A hybrid discontinuous Galerkin scheme for multi-scale kinetic equations.
J. Comput. Phys., 2018

2017
Asymptotically Preserving Particle-in-Cell Methods for Inhomogeneous Strongly Magnetized Plasmas.
SIAM J. Numer. Anal., 2017

A finite volume scheme for boundary-driven convection-diffusion equations with relative entropy structure.
Numerische Mathematik, 2017

2016
Asymptotically Stable Particle-In-Cell Methods for the Vlasov-Poisson System with a Strong External Magnetic Field.
SIAM J. Numer. Anal., 2016

Efficient High Order Semi-implicit Time Discretization and Local Discontinuous Galerkin Methods for Highly Nonlinear PDEs.
J. Sci. Comput., 2016

High Order Semi-implicit Schemes for Time Dependent Partial Differential Equations.
J. Sci. Comput., 2016

High order time discretization for backward semi-Lagrangian methods.
J. Comput. Appl. Math., 2016

2015
A Hierarchy of Hybrid Numerical Methods for Multiscale Kinetic Equations.
SIAM J. Sci. Comput., 2015

2014
Numerical Simulations of Kinetic Models for Chemotaxis.
SIAM J. Sci. Comput., 2014

Conservative and non-conservative methods based on Hermite weighted essentially non-oscillatory reconstruction for Vlasov equations.
J. Comput. Phys., 2014

2013
An inverse Lax-Wendroff method for boundary conditions applied to Boltzmann type models.
J. Comput. Phys., 2013

A rescaling velocity method for dissipative kinetic equations. Applications to granular media.
J. Comput. Phys., 2013

2012
A Finite Volume Scheme for Nonlinear Degenerate Parabolic Equations.
SIAM J. Sci. Comput., 2012

On Deterministic Approximation of the Boltzmann Equation in a Bounded Domain.
Multiscale Model. Simul., 2012

Numerical study of a nonlinear heat equation for plasma physics.
Int. J. Comput. Math., 2012

2011
An Asymptotic Preserving Scheme for the ES-BGK Model of the Boltzmann Equation.
J. Sci. Comput., 2011

2010
A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources.
J. Comput. Phys., 2010

2009
High order resolution of the Maxwell-Fokker-Planck-Landau model intended for ICF applications.
J. Comput. Phys., 2009

2008
Convergence of a finite volume scheme for coagulation-fragmentation equations.
Math. Comput., 2008

2006
Solving the Boltzmann Equation in N log<sub>2</sub>N.
SIAM J. Sci. Comput., 2006

A finite volume scheme for the Patlak-Keller-Segel chemotaxis model.
Numerische Mathematik, 2006

2005
Approximation of Hyperbolic Models for Chemosensitive Movement.
SIAM J. Sci. Comput., 2005

2004
Numerical Simulation of the Smoluchowski Coagulation Equation.
SIAM J. Sci. Comput., 2004

Vlasov simulations of beams with a moving grid.
Comput. Phys. Commun., 2004

2003
Numerical Approximation of the Lifshitz-Slyozov-Wagner Equation.
SIAM J. Numer. Anal., 2003

2002
Parallelization of a Vlasov Solver by Communication Overlapping.
Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications, 2002

Direct Axisymmetric Vlasov Simulations of Space Charge Dominated Beams.
Proceedings of the Computational Science - ICCS 2002, 2002

2001
Convergence of a Finite Volume Scheme for the Vlasov-Poisson System.
SIAM J. Numer. Anal., 2001


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