A fully discrete scheme for diffusive-dispersive conservation laws. - Christophe Chalons; Philippe G. LeFloch (Numerische Mathematik, 2001)

Navier-Stokes equations with several independent pressure laws and explicit predictor-corrector schemes. - Christophe Chalons; Frédéric Coquel (Numerische Mathematik, 2005)

Numerical Approximation of a Macroscopic Model of Pedestrian Flows. - Christophe Chalons (SIAM J. Sci. Comput., 2007)

Coupling of general Lagrangian systems. - A. Ambroso; Christophe Chalons; Frédéric Coquel; Edwige Godlewski; Frédéric Lagoutière; Pierre-Arnaud Raviart; Nicolas Seguin (Math. Comput., 2008)

Well-Balanced Time Implicit Formulation of Relaxation Schemes for the Euler Equations. - Christophe Chalons; Frédéric Coquel; Claude Marmignon (SIAM J. Sci. Comput., 2008)

Theoretical and numerical aspects of the interfacial coupling: The scalar Riemann problem and an application to multiphase flows. - Christophe Chalons (Networks Heterog. Media, 2010)

Time-Implicit Approximation of the Multipressure Gas Dynamics Equations in Several Space Dimensions. - Christophe Chalons; Frédéric Coquel; Claude Marmignon (SIAM J. Numer. Anal., 2010)

A robust numerical method for approximating solutions of a model of two-phase flows and its properties. - Mai Duc Thanh; Dietmar Kröner; Christophe Chalons (Appl. Math. Comput., 2012)

Fast Relaxation Solvers for Hyperbolic-Elliptic Phase Transition Problems. - Christophe Chalons; Frédéric Coquel; Patrick Engel; Christian Rohde (SIAM J. Sci. Comput., 2012)

General constrained conservation laws. Application to pedestrian flow modeling. - Christophe Chalons; Paola Goatin; Nicolas Seguin (Networks Heterog. Media, 2013)

Antidiffusive and Random-Sampling Lagrangian-Remap Schemes for the Multiclass Lighthill-Whitham-Richards Traffic Model. - Raimund Bürger; Christophe Chalons; Luis Miguel Villada (SIAM J. Sci. Comput., 2013)

Large Time Step and Asymptotic Preserving Numerical Schemes for the Gas Dynamics Equations with Source Terms. - Christophe Chalons; Mathieu Girardin; Samuel Kokh (SIAM J. Sci. Comput., 2013)

A Conservative and Convergent Scheme for Undercompressive Shock Waves. - Christophe Chalons; Patrick Engel; Christian Rohde (SIAM J. Numer. Anal., 2014)

On the Eulerian Large Eddy Simulation of Disperse Phase Flows: An Asymptotic Preserving Scheme for Small Stokes Number Flows. - Christophe Chalons; Marc Massot; Aymeric Vié (Multiscale Model. Simul., 2015)

Robust Numerical Coupling of Pressure and Pressureless Gas Dynamics Equations for Eulerian Spray DNS and LES. - Marc Boileau; Christophe Chalons; Marc Massot (SIAM J. Sci. Comput., 2015)

A fully well-balanced, positive and entropy-satisfying Godunov-type method for the shallow-water equations. - Christophe Berthon; Christophe Chalons (Math. Comput., 2016)

A new comment on the computation of non-conservative products using Roe-type path conservative schemes. - Christophe Chalons; Frédéric Coquel (J. Comput. Phys., 2017)

An all-regime Lagrange-Projection like scheme for 2D homogeneous models for two-phase flows on unstructured meshes. - Christophe Chalons; Mathieu Girardin; Samuel Kokh (J. Comput. Phys., 2017)

Multivariate Gaussian Extended Quadrature Method of Moments for Turbulent Disperse Multiphase Flow. - Christophe Chalons; Rodney O. Fox; Frédérique Laurent; Marc Massot; Aymeric Vié (Multiscale Model. Simul., 2017)

An Antidiffusive HLL Scheme for the Electronic M1 Model in the Diffusion Limit. - Christophe Chalons; Sébastien Guisset (Multiscale Model. Simul., 2018)

A random sampling method for a family of Temple-class systems of conservation laws. - Fernando Betancourt; Raimund Bürger; Christophe Chalons; Stefan Diehl 001; Sebastian Farås (Numerische Mathematik, 2018)

A Fully Well-Balanced Lagrange-Projection-Type Scheme for the Shallow-Water Equations. - Manuel Jesús Castro Díaz; Christophe Chalons; Tomás Morales de Luna (SIAM J. Numer. Anal., 2018)

Sensitivity Analysis and Numerical Diffusion Effects for Hyperbolic PDE Systems with Discontinuous Solutions. The Case of Barotropic Euler Equations in Lagrangian Coordinates. - Christophe Chalons; Régis Duvigneau; Camilla Fiorini (SIAM J. Sci. Comput., 2018)

High-Order Numerical Schemes for One-Dimensional Nonlocal Conservation Laws. - Christophe Chalons; Paola Goatin; Luis Miguel Villada (SIAM J. Sci. Comput., 2018)

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)

Very high-order asymptotic-preserving schemes for hyperbolic systems of conservation laws with parabolic degeneracy on unstructured meshes. - Florian Blachère; Christophe Chalons; Rodolphe Turpault (Comput. Math. Appl., 2021)

A low Mach two-speed relaxation scheme for the compressible Euler equations with gravity. - Claudius Birke; Christophe Chalons; Christian Klingenberg (CoRR, 2021)

A multiclass Lighthill-Whitham-Richards traffic model with a discontinuous velocity function. - Raimund Bürger; Christophe Chalons; Rafael Ordoñez; Luis Miguel Villada (Networks Heterog. Media, 2021)

Numerical approximation and uncertainty quantification for arterial blood flow models with viscoelasticity. - Christophe Chalons; Alessia Del Grosso; Eleuterio F. Toro (J. Comput. Phys., 2022)

In-cell discontinuous reconstruction path-conservative methods for non conservative hyperbolic systems - Second-order extension. - Ernesto Pimentel-García; Manuel J. Castro; Christophe Chalons; Tomás Morales de Luna; Carlos Parés (J. Comput. Phys., 2022)

On well-balanced implicit-explicit Lagrange-projection schemes for two-layer shallow water equations. - Alessia Del Grosso; Manuel Jesús Castro Díaz; Christophe Chalons; Tomás Morales de Luna (Appl. Math. Comput., 2023)

High-order In-cell Discontinuous Reconstruction path-conservative methods for nonconservative hyperbolic systems - DR.MOOD generalization. - Ernesto Pimentel-García; Manuel J. Castro; Christophe Chalons; Carlos Parés (CoRR, 2024)

A Semi-Implicit Fully Exactly Well-Balanced Relaxation Scheme for the Shallow Water System. - C. Caballero-Cárdenas; Manuel Jesús Castro Díaz; Christophe Chalons; Tomás Morales de Luna; María Luz Muñoz-Ruiz (SIAM J. Sci. Comput., 2024)

Second-order schemes based on a relaxation system for scalar and systems of conservation laws. - Christophe Chalons; Mathieu Girardin (Appl. Math. Comput., 2025)