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

Direct Axisymmetric Vlasov Simulations of Space Charge Dominated Beams. - Francis Filbet; J.-L. Lemaire; Eric Sonnendrücker (International Conference on Computational Science (3), 2002)

Parallelization of a Vlasov Solver by Communication Overlapping. - Eric Violard; Francis Filbet (PDPTA, 2002)

Numerical Approximation of the Lifshitz-Slyozov-Wagner Equation. - Francis Filbet; Philippe Laurençot (SIAM J. Numer. Anal., 2003)

Vlasov simulations of beams with a moving grid. - Eric Sonnendrücker; Francis Filbet; Alex Friedman; Édouard Oudet; Jean-Luc Vay (Comput. Phys. Commun., 2004)

Numerical Simulation of the Smoluchowski Coagulation Equation. - Francis Filbet; Philippe Laurençot (SIAM J. Sci. Comput., 2004)

Approximation of Hyperbolic Models for Chemosensitive Movement. - Francis Filbet; Chi-Wang Shu (SIAM J. Sci. Comput., 2005)

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

Solving the Boltzmann Equation in N log2N. - Francis Filbet; Clément Mouhot; Lorenzo Pareschi (SIAM J. Sci. Comput., 2006)

Convergence of a finite volume scheme for coagulation-fragmentation equations. - Jean-Pierre Bourgade; Francis Filbet (Math. Comput., 2008)

High order resolution of the Maxwell-Fokker-Planck-Landau model intended for ICF applications. - Roland Duclous; Bruno Dubroca; Francis Filbet; Vladimir Tikhonchuk (J. Comput. Phys., 2009)

A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources. - Francis Filbet; Shi Jin 003 (J. Comput. Phys., 2010)

An Asymptotic Preserving Scheme for the ES-BGK Model of the Boltzmann Equation. - Francis Filbet; Shi Jin 003 (J. Sci. Comput., 2011)

Numerical study of a nonlinear heat equation for plasma physics. - Francis Filbet; Claudia Negulescu; Chang Yang (Int. J. Comput. Math., 2012)

On Deterministic Approximation of the Boltzmann Equation in a Bounded Domain. - Francis Filbet (Multiscale Model. Simul., 2012)

A Finite Volume Scheme for Nonlinear Degenerate Parabolic Equations. - Marianne Bessemoulin-Chatard; Francis Filbet (SIAM J. Sci. Comput., 2012)

A rescaling velocity method for dissipative kinetic equations. Applications to granular media. - Francis Filbet; Thomas Rey (J. Comput. Phys., 2013)

An inverse Lax-Wendroff method for boundary conditions applied to Boltzmann type models. - Francis Filbet; Chang Yang (J. Comput. Phys., 2013)

Conservative and non-conservative methods based on Hermite weighted essentially non-oscillatory reconstruction for Vlasov equations. - Chang Yang; Francis Filbet (J. Comput. Phys., 2014)

Numerical Simulations of Kinetic Models for Chemotaxis. - Francis Filbet; Chang Yang (SIAM J. Sci. Comput., 2014)

A Hierarchy of Hybrid Numerical Methods for Multiscale Kinetic Equations. - Francis Filbet; Thomas Rey (SIAM J. Sci. Comput., 2015)

High order time discretization for backward semi-Lagrangian methods. - Francis Filbet; Charles Prouveur (J. Comput. Appl. Math., 2016)

High Order Semi-implicit Schemes for Time Dependent Partial Differential Equations. - Sebastiano Boscarino; Francis Filbet; Giovanni Russo 001 (J. Sci. Comput., 2016)

Efficient High Order Semi-implicit Time Discretization and Local Discontinuous Galerkin Methods for Highly Nonlinear PDEs. - Ruihan Guo; Francis Filbet; Yan Xu 008 (J. Sci. Comput., 2016)

Asymptotically Stable Particle-In-Cell Methods for the Vlasov-Poisson System with a Strong External Magnetic Field. - Francis Filbet; Luis Miguel Rodrigues (SIAM J. Numer. Anal., 2016)

A finite volume scheme for boundary-driven convection-diffusion equations with relative entropy structure. - Francis Filbet; Maxime Herda (Numerische Mathematik, 2017)

Asymptotically Preserving Particle-in-Cell Methods for Inhomogeneous Strongly Magnetized Plasmas. - Francis Filbet; Luis Miguel Rodrigues (SIAM J. Numer. Anal., 2017)

A hybrid discontinuous Galerkin scheme for multi-scale kinetic equations. - Francis Filbet; Tao Xiong (J. Comput. Phys., 2018)

A p-Adaptive Local Discontinuous Galerkin Level Set Method for Willmore Flow. - Ruihan Guo; Francis Filbet (J. Sci. Comput., 2018)

On the Vlasov-Maxwell System with a Strong Magnetic Field. - Francis Filbet; Tao Xiong; Eric Sonnendrücker (SIAM J. Appl. Math., 2018)

Rigorous Derivation of the Nonlocal Reaction-Diffusion Fitzhugh-Nagumo System. - Joachim Crevat; Grégory Faye; Francis Filbet (SIAM J. Math. Anal., 2019)

Asymptotic preserving schemes for the FitzHugh-Nagumo transport equation with strong local interactions. - Joachim Crevat; Francis Filbet (CoRR, 2020)

Conservative discontinuous Galerkin/Hermite Spectral Method for the Vlasov-Poisson System. - Francis Filbet; Tao Xiong (CoRR, 2020)

A spectral collocation method for the Landau equation in plasma physics. - Francis Filbet (CoRR, 2020)

Convergence of a finite volume scheme for a system of interacting species with cross-diffusion. - José A. Carrillo 001; Francis Filbet; Markus Schmidtchen (Numerische Mathematik, 2020)

Convergence analysis of asymptotic preserving schemes for strongly magnetized plasmas. - Francis Filbet; Luis Miguel Rodrigues; Hamed Zakerzadeh (Numerische Mathematik, 2021)

Asymptotically preserving particle methods for strongly magnetizedplasmas in a torus. - Francis Filbet; Luis Miguel Rodrigues (CoRR, 2022)

On the stability of conservative discontinuous Galerkin/Hermite spectral methods for the Vlasov-Poisson system. - Marianne Bessemoulin-Chatard; Francis Filbet (J. Comput. Phys., 2022)

Fokker-Planck multi-species equations in the adiabatic asymptotics. - Francis Filbet; Claudia Negulescu (J. Comput. Phys., 2022)

Concentration Phenomena in Fitzhugh-Nagumo Equations: A Mesoscopic Approach. - Alain Blaustein; Francis Filbet (SIAM J. Math. Anal., 2023)

Asymptotically preserving particle methods for strongly magnetized plasmas in a torus. - Francis Filbet; Luis Miguel Rodrigues (J. Comput. Phys., 2023)

On a discrete framework of hypocoercivity for kinetic equations. - Alain Blaustein; Francis Filbet (Math. Comput., 2023)

On the Convergence of Discontinuous Galerkin/Hermite Spectral Methods for the Vlasov-Poisson System. - Marianne Bessemoulin-Chatard; Francis Filbet (SIAM J. Numer. Anal., 2023)

A structure and asymptotic preserving scheme for the Vlasov-Poisson-Fokker-Planck model. - Alain Blaustein; Francis Filbet (J. Comput. Phys., 2024)

On the approximation of the von-Neumann equation in the semi-classical limit. Part I: Numerical algorithm. - Francis Filbet; François Golse (J. Comput. Phys., 2025)

A structure and asymptotic preserving scheme for the quasineutral limit of the Vlasov-Poisson system. - Alain Blaustein; Giacomo Dimarco; Francis Filbet; Marie Hélène Vignal (CoRR, 2025)

On the approximation of the von Neumann equation in the semi-classical limit. Part II : numerical analysis. - François Golse; Francis Filbet (CoRR, 2025)

A modified Crank-Nicolson scheme for the Vlasov-Poisson system with a strong external magnetic field. - Francis Filbet; Luis Miguel Rodrigues; Kim Han Trinh (CoRR, 2025)