Emmanuel Franck

22 papers Journal 22

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	Accelerating the convergence of Newton's method for nonlinear elliptic PDEs using Fourier neural operators. Commun. Nonlinear Sci. Numer. Simul. Joubine Aghili, Emmanuel Franck, Romain Hild, Victor Michel-Dansac, Vincent Vigon
2025	J	`jnl`	Enriching continuous Lagrange finite element approximation spaces using neural networks. CoRR Hélène Barucq, Michel Duprez, Florian Faucher, Emmanuel Franck, Frédérique Lecourtier, Vanessa Lleras, Victor Michel-Dansac, Nicolas Victorion
2025	J	`jnl`	Neural non-canonical Hamiltonian dynamics for long-time simulations. CoRR Clémentine Courtès, Emmanuel Franck, Michael Kraus, Laurent Navoret, Léopold Trémant
2025	J	`jnl`	Neural semi-Lagrangian method for high-dimensional advection-diffusion problems. CoRR Emmanuel Franck, Victor Michel-Dansac, Laurent Navoret
2025	J	`jnl`	Reduced Particle in Cell method for the Vlasov-Poisson system using auto-encoder and Hamiltonian neural. CoRR Emmanuel Franck, Laurent Navoret, Vincent Vigon, Raphaël Côte, Guillaume Steimer
2025	J	`jnl`	Structural schemes for hamiltonian systems. CoRR Stéphane Clain, Emmanuel Franck, Victor Michel-Dansac
2025	J	`jnl`	Volume-preserving geometric shape optimization of the Dirichlet energy using variational neural networks. Neural Networks Amaury Bélières-Frendo, Emmanuel Franck, Victor Michel-Dansac, Yannick Privat
2024	J	`jnl`	Accelerating the convergence of Newton's method for nonlinear elliptic PDEs using Fourier neural operators. CoRR Joubine Aghili, Emmanuel Franck, Romain Hild, Victor Michel-Dansac, Vincent Vigon
2024	J	`jnl`	An Optimal Control Deep Learning Method to Design Artificial Viscosities for Discontinuous Galerkin Schemes. J. Sci. Comput. Léo Bois, Emmanuel Franck, Laurent Navoret, Vincent Vigon
2024	J	`jnl`	Approximately well-balanced Discontinuous Galerkin methods using bases enriched with Physics-Informed Neural Networks. J. Comput. Phys. Emmanuel Franck, Victor Michel-Dansac, Laurent Navoret
2024	J	`jnl`	Generalizing the SINDy approach with nested neural networks. CoRR Camilla Fiorini, Clément Flint, Louis Fostier, Emmanuel Franck, Reyhaneh Hashemi, Victor Michel-Dansac, Wassim Tenachi
2024	J	`jnl`	Volume-preserving physics-informed geometric shape optimization of the Dirichlet energy. CoRR Amaury Bélières-Frendo, Emmanuel Franck, Victor Michel-Dansac, Yannick Privat
2023	J	`jnl`	A robust and efficient solver based on kinetic schemes for Magnetohydrodynamics (MHD) equations. Appl. Math. Comput. Hubert Baty, Florence Drui, Philippe Helluy, Emmanuel Franck, Christian Klingenberg, Lukas Thanhäuser
2023	J	`jnl`	An optimal control deep learning method to design artificial viscosities for Discontinuous Galerkin schemes. CoRR Léo Bois, Emmanuel Franck, Laurent Navoret, Vincent Vigon
2023	J	`jnl`	Approximately well-balanced Discontinuous Galerkin methods using bases enriched with Physics-Informed Neural Networks. CoRR Emmanuel Franck, Victor Michel-Dansac, Laurent Navoret
2023	J	`jnl`	Hamiltonian reduction using a convolutional auto-encoder coupled to an Hamiltonian neural network. CoRR Raphaël Côte, Emmanuel Franck, Laurent Navoret, Guillaume Steimer, Vincent Vigon
2020	J	`jnl`	A Low Cost Semi-implicit Low-Mach Relaxation Scheme for the Full Euler Equations. J. Sci. Comput. François Bouchut, Emmanuel Franck, Laurent Navoret
2020	J	`jnl`	A neural network closure for the Euler-Poisson system based on kinetic simulations. CoRR Léo Bois, Emmanuel Franck, Laurent Navoret, Vincent Vigon
2017	J	`jnl`	Proof of uniform convergence for a cell-centered AP discretization of the hyperbolic heat equation on general meshes. Math. Comput. Christophe Buet, Bruno Després, Emmanuel Franck, Thomas Leroy
2016	J	`jnl`	Finite Volume Scheme with Local High Order Discretization of the Hydrostatic Equilibrium for the Euler Equations with External Forces. J. Sci. Comput. Emmanuel Franck, Laura S. Mendoza
2015	J	`jnl`	Asymptotic Preserving Schemes on Distorted Meshes for Friedrichs Systems with Stiff Relaxation: Application to Angular Models in Linear Transport. J. Sci. Comput. Christophe Buet, Bruno Després, Emmanuel Franck
2012	J	`jnl`	Design of asymptotic preserving finite volume schemes for the hyperbolic heat equation on unstructured meshes. Numerische Mathematik Christophe Buet, Bruno Després, Emmanuel Franck