A well-balanced scheme for the shallow-water equations with topography. - Victor Michel-Dansac; Christophe Berthon; Stéphane Clain; Françoise Foucher (Comput. Math. Appl., 2016)

A well-balanced scheme for the shallow-water equations with topography or Manning friction. - Victor Michel-Dansac; Christophe Berthon; Stéphane Clain; Françoise Foucher (J. Comput. Phys., 2017)

A simple fully well-balanced and entropy preserving scheme for the shallow-water equations. - Christophe Berthon; Victor Michel-Dansac (Appl. Math. Lett., 2018)

Second-order implicit-explicit total variation diminishing schemes for the Euler system in the low Mach regime. - Giacomo Dimarco; Raphaël Loubère; Victor Michel-Dansac; Marie Hélène Vignal (J. Comput. Phys., 2018)

A two-dimensional high-order well-balanced scheme for the shallow water equations with topography and Manning friction. - Victor Michel-Dansac; Christophe Berthon; Stéphane Clain; Françoise Foucher (CoRR, 2020)

TVD-MOOD schemes based on implicit-explicit time integration. - Victor Michel-Dansac; Andrea Thomann (Appl. Math. Comput., 2022)

Unconditionally stable and parallel Discontinuous Galerkin solver. - Pierre Gerhard; Philippe Helluy; Victor Michel-Dansac (Comput. Math. Appl., 2022)

A Very Easy High-Order Well-Balanced Reconstruction for Hyperbolic Systems with Source Terms. - Christophe Berthon; Solène Bulteau; Françoise Foucher; Meissa M'Baye; Victor Michel-Dansac (SIAM J. Sci. Comput., 2022)

A high-order, fully well-balanced, unconditionally positivity-preserving finite volume framework for flood simulations. - Mirco Ciallella; Lorenzo Micalizzi; Victor Michel-Dansac; Philipp Öffner; Davide Torlo (CoRR, 2024)

Generalizing the SINDy approach with nested neural networks. - Camilla Fiorini; Clément Flint; Louis Fostier; Emmanuel Franck; Reyhaneh Hashemi; Victor Michel-Dansac; Wassim Tenachi (CoRR, 2024)

An entropy-stable and fully well-balanced scheme for the Euler equations with gravity. - Christophe Berthon; Victor Michel-Dansac; Andrea Thomann (CoRR, 2024)

Volume-preserving physics-informed geometric shape optimization of the Dirichlet energy. - Amaury Bélières-Frendo; Emmanuel Franck; Victor Michel-Dansac; Yannick Privat (CoRR, 2024)

An entropy-stable and fully well-balanced scheme for the Euler equations with gravity. II: General equations of state. - Victor Michel-Dansac; Andrea Thomann (CoRR, 2024)

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)

Parallel Kinetic Schemes for Conservation Laws, with Large Time Steps. - Pierre Gerhard; Philippe Helluy; Victor Michel-Dansac; Bruno Weber (J. Sci. Comput., 2024)

A fully well-balanced hydrodynamic reconstruction. - Christophe Berthon; Victor Michel-Dansac (J. Num. Math., 2024)

Accelerating the convergence of Newton's method for nonlinear elliptic PDEs using Fourier neural operators. - Joubine Aghili; Emmanuel Franck; Romain Hild; Victor Michel-Dansac; Vincent Vigon (Commun. Nonlinear Sci. Numer. Simul., 2025)

Volume-preserving geometric shape optimization of the Dirichlet energy using variational neural networks. - Amaury Bélières-Frendo; Emmanuel Franck; Victor Michel-Dansac; Yannick Privat (Neural Networks, 2025)

Structural schemes for hamiltonian systems. - Stéphane Clain; Emmanuel Franck; Victor Michel-Dansac (CoRR, 2025)

Enriching continuous Lagrange finite element approximation spaces using neural networks. - Hélène Barucq; Michel Duprez; Florian Faucher; Emmanuel Franck; Frédérique Lecourtier; Vanessa Lleras; Victor Michel-Dansac; Nicolas Victorion (CoRR, 2025)

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