Design of asymptotic preserving finite volume schemes for hyperbolic heat equation on unstructured meshes, C. Buet, B. Després, E. Franck,
Numerische Mathematik, October 2012, Volume 122, Issue 2, pp 227-278. ( Published version ). |

Asymptotic
preserving schemes for Friedrichs systems with stiff
relaxation on unstructured meshes: applications to the
angular discretization models in linear transport,
C. Buet, B. Després, E. Franck, Journal Scientific
Computing, Volume 62 Issue 2, February 2015, Pages 371-398. ( Published version ). |

Energy conservation
and numerical stability for the reduced MHD models of the
non-linear JOREK code, E. Franck, M. Hölzl,
A. Lessig, E. Sonnendrücker. ( Preprint ), (
Published version ).
ESAIM: M2AN Volume 49, Number 5, September-October 2015. |

Proof of uniform
convergence for a cell-centered AP discretization of the
hyperbolic heat equation on general meshes, C. Buet,
B. Després, E. Franck, T. Leroy. ( Preprint
), (
Published version )
Mathematics of computation, September 12, 2016. |

Finite
volume scheme with local high order discretization of
hydrostatic equilibrium for Euler equations with external
forces, E. Franck, L. Mendoza. ( Preprint ), (
Published version )
Journal of Scientific Computing, October 2016, Volume 69, Issue 1, pp 314-354 |

Stability of a
Kirchhoff-Roe scheme for multi-dimensional linearized Euler systems,
E. Franck, L. Gosse. (
Published version ), Annali Dell' Universita' Di Ferrara,
December 2017. |

An asymptotic preserving scheme with the maximum principle for the M1 model on distorted meshes, C. Buet, B. Després, E. Franck, Comptes Rendus Mathematique, Volume 350, Issues 11-12, June 2012, Pages 633-638. ( Published version ). |

An asymptotic preserving scheme for P1 model using classical diffusion schemes on unstructured polygonal meshes, E. Franck, P. Hoch, P. Navaro and G. Samba, ESAIM: PROCEEDINGS, October 2011, Vol. 32, p. 56-75. ( Published version ). |

Asymptotic Preserving Finite Volumes Discretization For Non-Linear Moment Model On Unstructured Meshes, C. Buet, B. Després, E. Franck, Finite Volumes for Complex Applications VI Problems and Perspectives, Springer Proceedings in Mathematics Volume 4, 2011, pp 467-474. ( Published version ). |

A priori analysis of asymptotic preserving schemes with the modified equation, B. Després (main author), C. Buet and E. Franck. Hyperbolic problems: theory, numerics and applications, AIMS on Applied Mathematics,vol 8, pp 501. ( First online version ). |

Modified Finite Volume Nodal Scheme for Euler Equations with Gravity and Friction, E. Franck, Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects
Springer Proceedings in Mathematics & Statistics Volume 77, 2014, pp 285-292. ( Published version ). |

Anisotropic
diffusion in toroidal geometry , A. Ratnani, B. Nkonga,
E. Franck, A. Eksaeva, M. Kazakova. ( Preprint ), (
Published version )
ESAIM Proc, Volume 53, March 2016, pp 77-98. |

Study of
physic-based preconditioning with high order Galerkin
method discretization for hyperbolic wave problems, C. Courtes,
E. Franck ,P. Helluy and H. Oberlin. (
Published version ). ESAIM: PROCEEDINGS AND SURVEYS, December 2016, Vol. 55, p. 61-82. |

Palindromic
discontinuous Galerkin method, D. Coulette,
E. Franck, P. Helluy, M. Mehrenberger, L. Navoret. (
Published version ).
FVCA 2017: Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems, pp 171-178. |

Task-based parallelization
of an implicit kinetic scheme, J. Badwaik, M. Boileau,
D. Coulette, E. Franck, P. Helluy, L. Mendoza, H. Oberlin. ( Preprint
), ( Published version
). |

An analysis of over-relaxation in kinetic approximation,
F.Drui, E. Franck, P. Helluy, L. Navoret. ( Preprint
). Submit in "Comptes rendus Mécanique" |

High-order implicit palindromic discontinuous Galerkin method for kinetic-relaxation approximation, D. Coulette,
E. Franck, P. Helluy, M. Mehrenberger, L. Navoret. (
Preprint ). Submit in in Computer and fluids. |

Implicit time schemes for compressible fluid models based on relaxation methods, D. Coulette,
E. Franck, P. Helluy, A. Ratnani, E. Sonnendruecker. (
Preprint ), Submit in Computer and fluids. |

Vectorial kinetic relaxation model with central velocity. Application to implicit relaxations schemes , D. Coulette,
C. Courtès, E. Franck, L. Navoret. (
Preprint ), Submit in "Communications in computational physics". |

Implicit splitted Compatible finite element scheme for MHD,
E. Franck, M. Gaja, A. Ratnani, E. Sonnendruecker. In redaction. |

Implicit kinetic
schemes for anisotropic diffusion, D. Coulette,
E. Franck, L. Mendoza, L. Navoret. In redaction. |

Mechanism of Edge Localized Mode mitigation by Resonant Magnetic Perturbations, M. Bécoulet, F. Orain, X. Garbet, G. T. A Huijsmans, S. Pamela, P. Cahyna, M. Hölzl, E. Franck, E. Sonnendrücker, G. Dif-Pradalier, C. Passeron, G. Latu, J. Morales, E. Nardon, A. Fil, B. Nkonga, A. Ratnani, Phys. Rev. Lett. 113, 155001, september 2014. ( Published version ). |

Time implicit schemes for the JOREK MHD code: Newton
procedure, continuation and preconditioning, E. Franck, E. Sonnendrücker, M. Hölzl. |