Emmanuel Franck

According to our database1, Emmanuel Franck authored at least 14 papers between 2012 and 2025.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of five.

Timeline

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Bibliography

2025
Volume-preserving geometric shape optimization of the Dirichlet energy using variational neural networks.
Neural Networks, 2025

Accelerating the convergence of Newton's method for nonlinear elliptic PDEs using Fourier neural operators.
Commun. Nonlinear Sci. Numer. Simul., 2025

2024
An Optimal Control Deep Learning Method to Design Artificial Viscosities for Discontinuous Galerkin Schemes.
J. Sci. Comput., December, 2024

Approximately well-balanced Discontinuous Galerkin methods using bases enriched with Physics-Informed Neural Networks.
J. Comput. Phys., 2024

Volume-preserving physics-informed geometric shape optimization of the Dirichlet energy.
CoRR, 2024

Generalizing the SINDy approach with nested neural networks.
CoRR, 2024

2023
Hamiltonian reduction using a convolutional auto-encoder coupled to an Hamiltonian neural network.
CoRR, 2023

A robust and efficient solver based on kinetic schemes for Magnetohydrodynamics (MHD) equations.
Appl. Math. Comput., 2023

2020
A Low Cost Semi-implicit Low-Mach Relaxation Scheme for the Full Euler Equations.
J. Sci. Comput., 2020

A neural network closure for the Euler-Poisson system based on kinetic simulations.
CoRR, 2020

2017
Proof of uniform convergence for a cell-centered AP discretization of the hyperbolic heat equation on general meshes.
Math. Comput., 2017

2016
Finite Volume Scheme with Local High Order Discretization of the Hydrostatic Equilibrium for the Euler Equations with External Forces.
J. Sci. Comput., 2016

2015
Asymptotic Preserving Schemes on Distorted Meshes for Friedrichs Systems with Stiff Relaxation: Application to Angular Models in Linear Transport.
J. Sci. Comput., 2015

2012
Design of asymptotic preserving finite volume schemes for the hyperbolic heat equation on unstructured meshes.
Numerische Mathematik, 2012


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