A MUSCL method satisfying all the numerical entropy inequalities. - François Bouchut; Ch. Bourdarias; Benoit Perthame (Math. Comput., 1996)

A Hierarchy of Models for Two-Phase Flows. - François Bouchut; Yann Brenier; Julien Cortes; Jean-François Ripoll (J. Nonlinear Sci., 2000)

Entropy satisfying flux vector splittings and kinetic BGK models. - François Bouchut (Numerische Mathematik, 2003)

Numerical Approximations of Pressureless and Isothermal Gas Dynamics. - François Bouchut; Shi Jin 003; Xiantao Li (SIAM J. Numer. Anal., 2003)

An Antidiffusive Entropy Scheme for Monotone Scalar Conservation Laws. - François Bouchut (J. Sci. Comput., 2004)

A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows. - Emmanuel Audusse; François Bouchut; Marie-Odile Bristeau; Rupert Klein; Benoît Perthame (SIAM J. Sci. Comput., 2004)

Uniqueness, Renormalization, and Smooth Approximations for Linear Transport Equations. - François Bouchut; Gianluca Crippa (SIAM J. Math. Anal., 2006)

Upwinding of the source term at interfaces for Euler equations with high friction. - François Bouchut; Haythem Ounaissa; Benoit Perthame (Comput. Math. Appl., 2007)

A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: theoretical framework. - François Bouchut; Christian Klingenberg; Knut Waagan (Numerische Mathematik, 2007)

A new Savage-Hutter type model for submarine avalanches and generated tsunami. - Enrique Domingo Fernández-Nieto; François Bouchut; Didier Bresch; Manuel Jesús Castro Díaz; Anne Mangeney (J. Comput. Phys., 2008)

Semi-discrete Entropy Satisfying Approximate Riemann Solvers. The Case of the Suliciu Relaxation Approximation. - François Bouchut; Tomás Morales de Luna (J. Sci. Comput., 2009)

A multiwave approximate Riemann solver for ideal MHD based on relaxation II: numerical implementation with 3 and 5 waves. - François Bouchut; Christian Klingenberg; Knut Waagan (Numerische Mathematik, 2010)

A Subsonic-Well-Balanced Reconstruction Scheme for Shallow Water Flows. - François Bouchut; Tomás Morales de Luna (SIAM J. Numer. Anal., 2010)

A Riemann solver for single-phase and two-phase shallow flow models based on relaxation. Relations with Roe and VFRoe solvers. - Marica Pelanti; François Bouchut; Anne Mangeney (J. Comput. Phys., 2011)

A 5-Wave Relaxation Solver for the Shallow Water MHD System. - François Bouchut; Xavier Lhébrard (J. Sci. Comput., 2016)

Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system. - Emmanuel Audusse; François Bouchut; Marie-Odile Bristeau; Jacques Sainte-Marie (Math. Comput., 2016)

Two-dimensional simulation by regularization of free surface viscoplastic flows with Drucker-Prager yield stress and application to granular collapse. - Christelle Lusso; Alexandre Ern; François Bouchut; Anne Mangeney; Maxime Farin; Olivier Roche (J. Comput. Phys., 2017)

A multi well-balanced scheme for the shallow water MHD system with topography. - François Bouchut; Xavier Lhébrard (Numerische Mathematik, 2017)

Multilayer models for shallow two-phase debris flows with dilatancy effects. - José Garres-Díaz; François Bouchut; Enrique Domingo Fernández-Nieto; Anne Mangeney; Gladys Narbona-Reina (J. Comput. Phys., 2020)

A two-layer shallow flow model with two axes of integration, well-balanced discretization and application to submarine avalanches. - Juan Manuel Delgado Sánchez; François Bouchut; Enrique Domingo Fernández-Nieto; Anne Mangeney; Gladys Narbona-Reina (J. Comput. Phys., 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)

An entropy satisfying two-speed relaxation system for the barotropic Euler equations: application to the numerical approximation of low Mach number flows. - François Bouchut; Christophe Chalons; Sébastien Guisset (Numerische Mathematik, 2020)

Dilatancy in dry granular flows with a compressible μ(I) rheology. - François Bouchut; Enrique Domingo Fernández-Nieto; El Hadji Koné; Anne Mangeney; Gladys Narbona-Reina (J. Comput. Phys., 2021)

Convergence of the kinetic hydrostatic reconstruction scheme for the Saint Venant system with topography. - François Bouchut; Xavier Lhébrard (Math. Comput., 2021)

The Navier-Stokes system with temperature and salinity for free surface flows. Numerical scheme and validation. - L. Boittin; François Bouchut; Marie-Odile Bristeau; Anne Mangeney; Jacques Sainte-Marie; F. Souillé (J. Comput. Phys., 2024)