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1

A Numerical Method for the Accurate Solution of the Fokker–Planck–Landau Equation in the Nonhomogeneous Case

Francis Filbet, Lorenzo Pareschi

Journal:

Journal of Computational Physics

Year:

2002

Language:

english

File:

PDF, 384 KB

english, 2002

2

A Finite Volume Scheme for Nonlinear Degenerate Parabolic Equations

Bessemoulin-Chatard, Marianne, Filbet, Francis

Journal:

SIAM Journal on Scientific Computing

Year:

2012

Language:

english

File:

PDF, 1.30 MB

english, 2012

3

Asymptotically Stable Particle-In-Cell Methods for the Vlasov--Poisson System with a Strong External Magnetic Field

Filbet, Francis, Rodrigues, Luis Miguel

Journal:

SIAM Journal on Numerical Analysis

Year:

2016

Language:

english

File:

PDF, 839 KB

english, 2016

4

Global existence for the Vlasov–Darwin system in ℝ3 for small initial data

Saïd Benachour, Francis Filbet, Philippe Laurençot, Eric Sonnendrücker

Journal:

Mathematical Methods in the Applied Sciences

Year:

2003

Language:

english

File:

PDF, 179 KB

english, 2003

5

Convergence d'un schéma de type volumes finis pour la résolution numérique du système de Vlasov–Poisson en dimension un

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

2000

File:

PDF, 145 KB

2000

6

Mass-conserving solutions and non-conservative approximation to the Smoluchowski coagulation equation

Francis Filbet, Philippe Laurençot

Journal:

Archiv der Mathematik

Year:

2004

Language:

english

File:

PDF, 98 KB

english, 2004

7

Derivation of hyperbolic models for chemosensitive movement

Francis Filbet, Philippe Laurençot, Benoît Perthame

Journal:

Journal of Mathematical Biology

Year:

2005

Language:

english

File:

PDF, 467 KB

english, 2005

8

On discrete functional inequalities for some finite volume schemes

Bessemoulin-Chatard, Marianne, Chainais-Hillairet, Claire, Filbet, Francis

Journal:

IMA Journal of Numerical Analysis

Year:

2015

Language:

english

File:

PDF, 358 KB

english, 2015

9

Convergence of a Finite Volume Scheme for the Vlasov-Poisson System

Journal:

SIAM Journal on Numerical Analysis

Year:

2002

Language:

english

File:

PDF, 566 KB

english, 2002

10

Analysis of spectral methods for the homogeneous Boltzmann equation

Filbet, Francis, Mouhot, Clément

Journal:

Transactions of the American Mathematical Society

Year:

2011

Language:

english

File:

PDF, 665 KB

english, 2011

11

High Order Semi-implicit Schemes for Time Dependent Partial Differential Equations

Boscarino, Sebastiano, Filbet, Francis, Russo, Giovanni

Journal:

Journal of Scientific Computing

Year:

2016

Language:

english

File:

PDF, 994 KB

english, 2016

12

Asymptotically Preserving Particle-in-Cell Methods for Inhomogeneous Strongly Magnetized Plasmas

Filbet, Francis, Rodrigues, Luis Miguel

Journal:

SIAM Journal on Numerical Analysis

Year:

2017

Language:

english

File:

PDF, 1.47 MB

english, 2017

13

On the Vlasov--Maxwell System with a Strong Magnetic Field

Filbet, Francis, Xiong, Tao, Sonnendrücker, Eric

Journal:

SIAM Journal on Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 1.42 MB

english, 2018

14

Conservative Numerical Schemes for the Vlasov Equation

Francis Filbet, Eric Sonnendrücker, Pierre Bertrand

Journal:

Journal of Computational Physics

Year:

2001

Language:

english

File:

PDF, 314 KB

english, 2001

15

Numerical approximation of collisional plasmas by high order methods

Nicolas Crouseilles, Francis Filbet

Journal:

Journal of Computational Physics

Year:

2004

Language:

english

File:

PDF, 393 KB

english, 2004

16

Accurate numerical methods for the collisional motion of (heated) granular flows

Francis Filbet, Lorenzo Pareschi, Giuseppe Toscani

Journal:

Journal of Computational Physics

Year:

2005

Language:

english

File:

PDF, 744 KB

english, 2005

17

High order resolution of the Maxwell–Fokker–Planck–Landau model intended for ICF applications

Roland Duclous, Bruno Dubroca, Francis Filbet, Vladimir Tikhonchuk

Journal:

Journal of Computational Physics

Year:

2009

Language:

english

File:

PDF, 1.60 MB

english, 2009

18

A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources

Francis Filbet, Shi Jin

Journal:

Journal of Computational Physics

Year:

2010

Language:

english

File:

PDF, 1.24 MB

english, 2010

19

High order numerical methods for the space non-homogeneous Boltzmann equation

Francis Filbet, Giovanni Russo

Journal:

Journal of Computational Physics

Year:

2003

Language:

english

File:

PDF, 333 KB

english, 2003

20

A finite volume scheme for the Patlak–Keller–Segel chemotaxis model

Journal:

Numerische Mathematik

Year:

2006

Language:

english

File:

PDF, 452 KB

english, 2006

21

An Asymptotic Preserving Scheme for the ES-BGK Model of the Boltzmann Equation

Francis Filbet, Shi Jin

Journal:

Journal of Scientific Computing

Year:

2011

Language:

english

File:

PDF, 2.10 MB

english, 2011

22

On Deterministic Approximation of the Boltzmann Equation in a Bounded Domain

Filbet, Francis

Journal:

Multiscale Modeling and Simulation

Year:

2012

Language:

english

File:

PDF, 454 KB

english, 2012

23

Approximation of Hyperbolic Models for Chemosensitive Movement

Filbet, Francis, Shu, Chi-Wang

Journal:

SIAM Journal on Scientific Computing

Year:

2005

Language:

english

File:

PDF, 593 KB

english, 2005

24

Convergence of a Finite Volume Scheme for the Vlasov--Poisson System

Filbet, Francis

Journal:

SIAM Journal on Numerical Analysis

Year:

2001

Language:

english

File:

PDF, 256 KB

english, 2001

25

Numerical Simulation of the Smoluchowski Coagulation Equation

Filbet, Francis, Laurençot, Philippe

Journal:

SIAM Journal on Scientific Computing

Year:

2004

Language:

english

File:

PDF, 534 KB

english, 2004

26

An inverse Lax–Wendroff method for boundary conditions applied to Boltzmann type models

Filbet, Francis, Yang, Chang

Journal:

Journal of Computational Physics

Year:

2013

Language:

english

File:

PDF, 3.28 MB

english, 2013

27

A rescaling velocity method for dissipative kinetic equations. Applications to granular media

Filbet, Francis, Rey, Thomas

Journal:

Journal of Computational Physics

Year:

2013

Language:

english

File:

PDF, 3.83 MB

english, 2013

28

Numerical Approximation of the Lifshitz--Slyozov--Wagner Equation

Filbet, Francis, Laurençot, Philippe

Journal:

SIAM Journal on Numerical Analysis

Year:

2003

Language:

english

File:

PDF, 288 KB

english, 2003

29

Conservative and non-conservative methods based on Hermite weighted essentially non-oscillatory reconstruction for Vlasov equations

Yang, Chang, Filbet, Francis

Journal:

Journal of Computational Physics

Year:

2014

Language:

english

File:

PDF, 1.56 MB

english, 2014

30

Solving the Boltzmann Equation in N log 2N

Filbet, Francis, Mouhot, Clément, Pareschi, Lorenzo

Journal:

SIAM Journal on Scientific Computing

Year:

2006

Language:

english

File:

PDF, 712 KB

english, 2006

31

Numerical Simulations of Kinetic Models for Chemotaxis

Filbet, Francis, Yang, Chang

Journal:

SIAM Journal on Scientific Computing

Year:

2014

Language:

english

File:

PDF, 1.73 MB

english, 2014

32

MODELING AND NUMERICAL SIMULATION OF SPACE CHARGE DOMINATED BEAMS IN THE PARAXIAL APPROXIMATION

FILBET, FRANCIS, SONNENDRÜCKER, ERIC

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2006

Language:

english

File:

PDF, 858 KB

english, 2006

33

Numerical Approximation of the Lifshitz-Slyozov-Wagner Equation

Francis Filbet and Philippe Laurençot

Journal:

SIAM Journal on Numerical Analysis

Year:

2004

Language:

english

File:

PDF, 707 KB

english, 2004

34

On steady-state preserving spectral methods for homogeneous Boltzmann equations

Filbet, Francis, Pareschi, Lorenzo, Rey, Thomas

Journal:

Comptes Rendus Mathematique

Year:

2015

File:

PDF, 301 KB

2015

35

Numerical study of a nonlinear heat equation for plasma physics

Filbet, Francis, Negulescu, Claudia, Yang, Chang

Journal:

International Journal of Computer Mathematics

Year:

2012

Language:

english

File:

PDF, 527 KB

english, 2012

36

A Hierarchy of Hybrid Numerical Methods for Multiscale Kinetic Equations

Filbet, Francis, Rey, Thomas

Journal:

SIAM Journal on Scientific Computing

Year:

2015

Language:

english

File:

PDF, 2.49 MB

english, 2015

37

AIP Conference Proceedings [American Institute of Physics NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2008 - Psalidi, Kos (Greece) (16–20 September 2008)] - An Asymptotically Stable Scheme for Diffusive Coagulation‐Fragmentation Models

Filbet, Francis

Year:

2008

File:

PDF, 30 KB

2008

38

Convergence of a Finite Volume Scheme for Coagulation-Fragmentation Equations

Jean-Pierre Bourgade and Francis Filbet

Journal:

Mathematics of Computation

Year:

2008

Language:

english

File:

PDF, 2.16 MB

english, 2008

39

High order time discretization for backward semi-Lagrangian methods

Filbet, Francis, Prouveur, Charles

Journal:

Journal of Computational and Applied Mathematics

Year:

2016

Language:

english

File:

PDF, 3.76 MB

english, 2016

40

Efficient High Order Semi-implicit Time Discretization and Local Discontinuous Galerkin Methods for Highly Nonlinear PDEs

Guo, Ruihan, Filbet, Francis, Xu, Yan

Journal:

Journal of Scientific Computing

Year:

2016

Language:

english

File:

PDF, 6.14 MB

english, 2016

41

A numerical scheme for the quantum Boltzmann equation with stiff collision terms

Filbet, Francis, Hu, Jingwei, Jin, Shi

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2012

Language:

english

File:

PDF, 3.02 MB

english, 2012

42

Surface optimization and new cavitation model for lubricated flow

Dalissier, Eric, Filbet, Francis, Heibig, Arnaud, Palade, Liviu Iulian

Journal:

ESAIM Proceedings

Year:

2013

File:

PDF, 1.19 MB

2013

43

On the Asymptotic Limit of the Three Dimensional Vlasov–Poisson System for Large Magnetic Field: Formal Derivation

Pierre Degond,Francis Filbet

Journal:

Journal of Statistical Physics

Year:

2016

Language:

english

File:

PDF, 556 KB

english, 2016

44

Varifolds and generalized curvature

Buet, Blanche, Filbet, Francis, Heibig, Arnaud, Palade, Liviu Iulian

Journal:

ESAIM Proceedings

Year:

2013

Language:

english

File:

PDF, 928 KB

english, 2013

45

Convergence of a finite volume scheme for coagulation-fragmentation equations

Bourgade, Jean-Pierre, Filbet, Francis

Journal:

Mathematics of Computation

Year:

2007

Language:

english

File:

PDF, 513 KB

english, 2007

46

A p-Adaptive Local Discontinuous Galerkin Level Set Method for Willmore Flow

Guo, Ruihan, Filbet, Francis

Journal:

Journal of Scientific Computing

Year:

2018

Language:

english

File:

PDF, 728 KB

english, 2018

47

Analysis of an Asymptotic Preserving Scheme for Relaxation Systems

Filbet, Francis, Rambaud, Amélie

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2013

Language:

english

File:

PDF, 968 KB

english, 2013

48

Discontinuous Galerkin methods for a kinetic model of self-organized dynamics

Filbet, Francis, Shu, Chi-Wang

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2018

Language:

english

File:

PDF, 636 KB

english, 2018

49

A hybrid discontinuous Galerkin scheme for multi-scale kinetic equations

Filbet, Francis, Xiong, Tao

Journal:

Journal of Computational Physics

Year:

2018

Language:

english

File:

PDF, 3.21 MB

english, 2018

50

Approximating the trace of iterative solutions at the interfaces with Nonuniform Fourier transform and singular value decomposition for cost-effectively accelerating the convergence of Schwarz domain decomposition

Tromeur-Dervout, Damien, Filbet, Francis, Heibig, Arnaud, Palade, Liviu Iulian

Journal:

ESAIM Proceedings

Year:

2013

Language:

english

File:

PDF, 778 KB

english, 2013

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