Emmanuel Franck

Publication Activity (10 Years)

Years Active: 2012-2024
Publications (10 Years): 13

Top Topics

Negative Binomial

Compositional Semantics

External Forces

Top Venues

J. Sci. Comput.

J. Comput. Phys.

Appl. Math. Comput.

Publications

Joubine Aghili, Emmanuel Franck, Romain Hild, Victor Michel-Dansac, Vincent Vigon
Accelerating the convergence of Newton's method for nonlinear elliptic PDEs using Fourier neural operators. CoRR (2024)
Camilla Fiorini, Clément Flint, Louis Fostier, Emmanuel Franck, Reyhaneh Hashemi, Victor Michel-Dansac, Wassim Tenachi
Generalizing the SINDy approach with nested neural networks. CoRR (2024)
Emmanuel Franck, Victor Michel-Dansac, Laurent Navoret
Approximately well-balanced Discontinuous Galerkin methods using bases enriched with Physics-Informed Neural Networks. J. Comput. Phys. 512 (2024)
Amaury Bélières--Frendo, Emmanuel Franck, Victor Michel-Dansac, Yannick Privat
Volume-preserving physics-informed geometric shape optimization of the Dirichlet energy. CoRR (2024)
Léo Bois, Emmanuel Franck, Laurent Navoret, Vincent Vigon
An optimal control deep learning method to design artificial viscosities for Discontinuous Galerkin schemes. CoRR (2023)
Hubert Baty, Florence Drui, Philippe Helluy, Emmanuel Franck, Christian Klingenberg, Lukas Thanhäuser
A robust and efficient solver based on kinetic schemes for Magnetohydrodynamics (MHD) equations. Appl. Math. Comput. 440 (2023)
Emmanuel Franck, Victor Michel-Dansac, Laurent Navoret
Approximately well-balanced Discontinuous Galerkin methods using bases enriched with Physics-Informed Neural Networks. CoRR (2023)
Raphaël Côte, Emmanuel Franck, Laurent Navoret, Guillaume Steimer, Vincent Vigon
Hamiltonian reduction using a convolutional auto-encoder coupled to an Hamiltonian neural network. CoRR (2023)
Léo Bois, Emmanuel Franck, Laurent Navoret, Vincent Vigon
A neural network closure for the Euler-Poisson system based on kinetic simulations. CoRR (2020)
François Bouchut, Emmanuel Franck, Laurent Navoret
A Low Cost Semi-implicit Low-Mach Relaxation Scheme for the Full Euler Equations. J. Sci. Comput. 83 (1) (2020)
Christophe Buet, Bruno Després, Emmanuel Franck, Thomas Leroy
Proof of uniform convergence for a cell-centered AP discretization of the hyperbolic heat equation on general meshes. Math. Comput. 86 (305) (2017)
Emmanuel Franck, Laura S. Mendoza
Finite Volume Scheme with Local High Order Discretization of the Hydrostatic Equilibrium for the Euler Equations with External Forces. J. Sci. Comput. 69 (1) (2016)
Christophe Buet, Bruno Després, Emmanuel Franck
Asymptotic Preserving Schemes on Distorted Meshes for Friedrichs Systems with Stiff Relaxation: Application to Angular Models in Linear Transport. J. Sci. Comput. 62 (2) (2015)
Christophe Buet, Bruno Després, Emmanuel Franck
Design of asymptotic preserving finite volume schemes for the hyperbolic heat equation on unstructured meshes. Numerische Mathematik 122 (2) (2012)