Francis Filbet

Publication Activity (10 Years)

Years Active: 2001-2024
Publications (10 Years): 30

Top Topics

Spectral Methods

Top Venues

J. Comput. Phys.

SIAM J. Numer. Anal.

Numerische Mathematik

Publications

Francis Filbet, François Golse
On the approximation of the von Neumann equation in the semi-classical limit. Part I : numerical algorithm. CoRR (2024)
Alain Blaustein, Francis Filbet
A structure and asymptotic preserving scheme for the Vlasov-Poisson-Fokker-Planck model. J. Comput. Phys. 498 (2024)
Francis Filbet, Luis Miguel Rodrigues
Asymptotically preserving particle methods for strongly magnetized plasmas in a torus. J. Comput. Phys. 480 (2023)
Alain Blaustein, Francis Filbet
Concentration Phenomena in Fitzhugh-Nagumo Equations: A Mesoscopic Approach. SIAM J. Math. Anal. 55 (1) (2023)
Marianne Bessemoulin-Chatard, Francis Filbet
On the Convergence of Discontinuous Galerkin/Hermite Spectral Methods for the Vlasov-Poisson System. SIAM J. Numer. Anal. 61 (4) (2023)
Alain Blaustein, Francis Filbet
On a discrete framework of hypocoercivity for kinetic equations. Math. Comput. 93 (345) (2023)
Alain Blaustein, Francis Filbet
A structure and asymptotic preserving scheme for the Vlasov-Poisson-Fokker-Planck model. CoRR (2023)
Marianne Bessemoulin-Chatard, Francis Filbet
On the convergence of discontinuous Galerkin/Hermite spectral methods for the Vlasov-Poisson system. CoRR (2022)
Francis Filbet, Claudia Negulescu
Fokker-Planck multi-species equations in the adiabatic asymptotics. J. Comput. Phys. 471 (2022)
Francis Filbet, Luis Miguel Rodrigues
Asymptotically preserving particle methods for strongly magnetizedplasmas in a torus. CoRR (2022)
Francis Filbet, Claudia Negulescu
Fokker-Planck Multi-Species Equations in the Adiabatic Asymptotics. CoRR (2022)
Alain Blaustein, Francis Filbet
On a discrete framework of hypocoercivity for kinetic equations. CoRR (2022)
Marianne Bessemoulin-Chatard, Francis Filbet
On the stability of conservative discontinuous Galerkin/Hermite spectral methods for the Vlasov-Poisson system. J. Comput. Phys. 451 (2022)
Francis Filbet, Luis Miguel Rodrigues, Hamed Zakerzadeh
Convergence analysis of asymptotic preserving schemes for strongly magnetized plasmas. Numerische Mathematik 149 (3) (2021)
Marianne Bessemoulin-Chatard, Francis Filbet
On the stability of conservative discontinuous Galerkin/Hermite spectral methods for the Vlasov-Poisson system. CoRR (2021)
José A. Carrillo, Francis Filbet, Markus Schmidtchen
Convergence of a finite volume scheme for a system of interacting species with cross-diffusion. Numerische Mathematik 145 (3) (2020)
Joachim Crevat, Francis Filbet
Asymptotic preserving schemes for the FitzHugh-Nagumo transport equation with strong local interactions. CoRR (2020)
Francis Filbet, Tao Xiong
Conservative discontinuous Galerkin/Hermite Spectral Method for the Vlasov-Poisson System. CoRR (2020)
Francis Filbet
A spectral collocation method for the Landau equation in plasma physics. CoRR (2020)
Francis Filbet, Luis Miguel Rodrigues, Hamed Zakerzadeh
Convergence Analysis of Asymptotic Preserving Schemes for Strongly Magnetized plasmas. CoRR (2020)
Joachim Crevat, Grégory Faye, Francis Filbet
Rigorous Derivation of the Nonlocal Reaction-Diffusion Fitzhugh-Nagumo System. SIAM J. Math. Anal. 51 (1) (2019)
Francis Filbet, Tao Xiong, Eric Sonnendrücker
On the Vlasov-Maxwell System with a Strong Magnetic Field. SIAM J. Appl. Math. 78 (2) (2018)
Francis Filbet, Tao Xiong
A hybrid discontinuous Galerkin scheme for multi-scale kinetic equations. J. Comput. Phys. 372 (2018)
Ruihan Guo, Francis Filbet
A p-Adaptive Local Discontinuous Galerkin Level Set Method for Willmore Flow. J. Sci. Comput. 76 (2) (2018)
Francis Filbet, Luis Miguel Rodrigues
Asymptotically Preserving Particle-in-Cell Methods for Inhomogeneous Strongly Magnetized Plasmas. SIAM J. Numer. Anal. 55 (5) (2017)
Francis Filbet, Maxime Herda
A finite volume scheme for boundary-driven convection-diffusion equations with relative entropy structure. Numerische Mathematik 137 (3) (2017)
Francis Filbet, Charles Prouveur
High order time discretization for backward semi-Lagrangian methods. J. Comput. Appl. Math. 303 (2016)
Francis Filbet, Luis Miguel Rodrigues
Asymptotically Stable Particle-In-Cell Methods for the Vlasov-Poisson System with a Strong External Magnetic Field. SIAM J. Numer. Anal. 54 (2) (2016)
Ruihan Guo, Francis Filbet, Yan Xu
Efficient High Order Semi-implicit Time Discretization and Local Discontinuous Galerkin Methods for Highly Nonlinear PDEs. J. Sci. Comput. 68 (3) (2016)
Sebastiano Boscarino, Francis Filbet, Giovanni Russo
High Order Semi-implicit Schemes for Time Dependent Partial Differential Equations. J. Sci. Comput. 68 (3) (2016)
Francis Filbet, Thomas Rey
A Hierarchy of Hybrid Numerical Methods for Multiscale Kinetic Equations. SIAM J. Sci. Comput. 37 (3) (2015)
Francis Filbet, Chang Yang
Numerical Simulations of Kinetic Models for Chemotaxis. SIAM J. Sci. Comput. 36 (3) (2014)
Chang Yang, Francis Filbet
Conservative and non-conservative methods based on Hermite weighted essentially non-oscillatory reconstruction for Vlasov equations. J. Comput. Phys. 279 (2014)
Francis Filbet, Thomas Rey
A rescaling velocity method for dissipative kinetic equations. Applications to granular media. J. Comput. Phys. 248 (2013)
Francis Filbet, Chang Yang
An inverse Lax-Wendroff method for boundary conditions applied to Boltzmann type models. J. Comput. Phys. 245 (2013)
Francis Filbet
On Deterministic Approximation of the Boltzmann Equation in a Bounded Domain. Multiscale Model. Simul. 10 (3) (2012)
Marianne Bessemoulin-Chatard, Francis Filbet
A Finite Volume Scheme for Nonlinear Degenerate Parabolic Equations. SIAM J. Sci. Comput. 34 (5) (2012)
Francis Filbet, Claudia Negulescu, Chang Yang
Numerical study of a nonlinear heat equation for plasma physics. Int. J. Comput. Math. 89 (8) (2012)
Francis Filbet, Shi Jin
An Asymptotic Preserving Scheme for the ES-BGK Model of the Boltzmann Equation. J. Sci. Comput. 46 (2) (2011)
Francis Filbet, Shi Jin
A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources. J. Comput. Phys. 229 (20) (2010)
Roland Duclous, Bruno Dubroca, Francis Filbet, Vladimir Tikhonchuk
High order resolution of the Maxwell-Fokker-Planck-Landau model intended for ICF applications. J. Comput. Phys. 228 (14) (2009)
Jean-Pierre Bourgade, Francis Filbet
Convergence of a finite volume scheme for coagulation-fragmentation equations. Math. Comput. 77 (262) (2008)
Francis Filbet, Clément Mouhot, Lorenzo Pareschi
N. SIAM J. Sci. Comput. 28 (3) (2006)
Francis Filbet
A finite volume scheme for the Patlak-Keller-Segel chemotaxis model. Numerische Mathematik 104 (4) (2006)
Francis Filbet, Chi-Wang Shu
Approximation of Hyperbolic Models for Chemosensitive Movement. SIAM J. Sci. Comput. 27 (3) (2005)
Francis Filbet, Philippe Laurençot
Numerical Simulation of the Smoluchowski Coagulation Equation. SIAM J. Sci. Comput. 25 (6) (2004)
Eric Sonnendrücker, Francis Filbet, Alex Friedman, Édouard Oudet, Jean-Luc Vay
Vlasov simulations of beams with a moving grid. Comput. Phys. Commun. 164 (1-3) (2004)
Francis Filbet, Philippe Laurençot
Numerical Approximation of the Lifshitz-Slyozov-Wagner Equation. SIAM J. Numer. Anal. 41 (2) (2003)
Francis Filbet, J.-L. Lemaire, Eric Sonnendrücker
Direct Axisymmetric Vlasov Simulations of Space Charge Dominated Beams. International Conference on Computational Science (3) (2002)
Eric Violard, Francis Filbet
Parallelization of a Vlasov Solver by Communication Overlapping. PDPTA (2002)
Francis Filbet
Convergence of a Finite Volume Scheme for the Vlasov-Poisson System. SIAM J. Numer. Anal. 39 (4) (2001)