Asymptotic-Preserving Particle-In-Cell method for the Vlasov-Poisson system near quasineutrality. - Pierre Degond; Fabrice Deluzet; Laurent Navoret; An-Bang Sun; Marie Hélène Vignal (J. Comput. Phys., 2010)

Numerical simulations of the Euler system with congestion constraint. - Pierre Degond; Jiale Hua; Laurent Navoret (J. Comput. Phys., 2011)

Numerical Simulations of a Nonconservative Hyperbolic System with Geometric Constraints Describing Swarming Behavior. - Sébastien Motsch; Laurent Navoret (Multiscale Model. Simul., 2011)

A neural network closure for the Euler-Poisson system based on kinetic simulations. - Léo Bois; Emmanuel Franck; Laurent Navoret; Vincent Vigon (CoRR, 2020)

A Low Cost Semi-implicit Low-Mach Relaxation Scheme for the Full Euler Equations. - François Bouchut; Emmanuel Franck; Laurent Navoret (J. Sci. Comput., 2020)

Hamiltonian reduction using a convolutional auto-encoder coupled to an Hamiltonian neural network. - Raphaël Côte; Emmanuel Franck; Laurent Navoret; Guillaume Steimer; Vincent Vigon (CoRR, 2023)

Approximately well-balanced Discontinuous Galerkin methods using bases enriched with Physics-Informed Neural Networks. - Emmanuel Franck; Victor Michel-Dansac; Laurent Navoret (J. Comput. Phys., 2024)

An Optimal Control Deep Learning Method to Design Artificial Viscosities for Discontinuous Galerkin Schemes. - Léo Bois; Emmanuel Franck; Laurent Navoret; Vincent Vigon (J. Sci. Comput., 2024)

Fourth-Order Entropy-Stable Lattice Boltzmann Schemes for Hyperbolic Systems. - Thomas Bellotti; Philippe Helluy; Laurent Navoret (SIAM J. Sci. Comput., 2025)

Neural semi-Lagrangian method for high-dimensional advection-diffusion problems. - Emmanuel Franck; Victor Michel-Dansac; Laurent Navoret (CoRR, 2025)

Reduced Particle in Cell method for the Vlasov-Poisson system using auto-encoder and Hamiltonian neural. - Emmanuel Franck; Laurent Navoret; Vincent Vigon; Raphaël Côte; Guillaume Steimer (CoRR, 2025)