List of publications by Christophe Chalons (LMV, UVSQ) available on HAL

François Bouchut, Christophe Chalons, Sébastien Guisset. An entropy satisfying two-speed relaxation system for the barotropic Euler equations. Application to the numerical approximation of low Mach number flows.. Numerische Mathematik, Springer Verlag, 2020, 145, pp.35-76. ⟨10.1007/s00211-020-01111-5⟩. ⟨hal-01661275v2⟩

Camilla Fiorini, Christophe Chalons, Régis Duvigneau. A modified sensitivity equation method for the Euler equations in presence of shocks. Numerical Methods for Partial Differential Equations, Wiley, 2020, 36 (4), ⟨10.1002/num.22454⟩. ⟨hal-01817815v3⟩

Rodolphe Turpault, Christophe Chalons. High-order asymptotic-preserving schemes for linear systems: Application to the Goldstein-Taylor equations. Numerical Methods for Partial Differential Equations, Wiley, In press, ⟨10.1002/num.22363⟩. ⟨hal-02043513⟩

Christophe Chalons, Régis Duvigneau, Camilla Fiorini. Sensitivity analysis and numerical diffusion effects for hyperbolic PDE systems with discontinuous solutions. The case of barotropic Euler equations in Lagrangian coordinates. SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2018, 40 (6), pp.A3955-A3981. ⟨hal-01589337v2⟩

Fernando Betancourt, Raimund Burger, Christophe Chalons, Stefan Diehl, Sebastian Faras. A random sampling method for a family of Temple-class systems of conservation laws. Numerische Mathematik, Springer Verlag, 2018, 138 (1), pp.37-73. ⟨10.1007/s00211-017-0900-z⟩. ⟨hal-02169456⟩

Christophe Chalons, Paola Goatin B, Luis Villada. High order numerical schemes for one-dimension non-local conservation laws. SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2017, 40 (1), pp.A288-A305. ⟨hal-01418749⟩

Christophe Chalons, Mathieu Girardin, Samuel Kokh. An all-regime Lagrange-Projection like scheme for 2D homogeneous models for two-phase flows on unstructured meshes. Journal of Computational Physics, Elsevier, 2017, 335, pp.885-904. ⟨10.1016/j.jcp.2017.01.017⟩. ⟨hal-01495699⟩

Stefano Villa, Paola Goatin, Christophe Chalons. Moving bottlenecks for the Aw-Rascle-Zhang traffic flow model. Discrete and Continuous Dynamical Systems - Series B, American Institute of Mathematical Sciences, 2017, 22 (10), pp.3921-3952. ⟨hal-01347925⟩

Christophe Chalons, Christian Rohde, Maria Wiebe. A FINITE VOLUME METHOD FOR UNDERCOMPRESSIVE SHOCK WAVES IN TWO SPACE DIMENSIONS. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2017, 51 (5), pp.1987-2015. ⟨10.1051/m2an/2017027⟩. ⟨hal-02169453⟩

Christophe Chalons, Rodney Fox, Frédérique Laurent, Marc Massot, Aymeric Vié. Multivariate Gaussian extended quadrature method of moments for turbulent disperse multiphase flow. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, Society for Industrial and Applied Mathematics, 2017, 15 (4), pp.1553-1583. ⟨10.1137/16M109209X⟩. ⟨hal-01358390⟩

Christophe Chalons, Maria Laura Delle Monache, Paola Goatin. A conservative scheme for non-classical solutions to a strongly coupled PDE-ODE problem. Interfaces and Free Boundaries, European Mathematical Society, 2017, 19 (4), pp.553-570. ⟨10.4171/IFB/392⟩. ⟨hal-01070262⟩

Raimund Buerger, Luis M. Villada, Christophe Chalons. Antidiffusive Lagrangian-remap schemes for models of polydisperse sedimentation. Numerical Methods for Partial Differential Equations, Wiley, 2016, 32 (4), pp.1109-1136. ⟨10.1002/num.22043⟩. ⟨hal-02166375⟩

Raimund Buerger, Christophe Chalons, Luis Miguel Villada. On second-order antidiffusive Lagrangian-remap schemes for multispecies kinematic flow models. Boletim da Sociedade Brasileira de Matemática / Bulletin of the Brazilian Mathematical Society, Springer Verlag, 2016, 47 (1), pp.187-200. ⟨10.1007/s00574-016-0131-4⟩. ⟨hal-02166368⟩

Christophe Berthon, Christophe Chalons. A FULLY WELL-BALANCED, POSITIVE AND ENTROPY-SATISFYING GODUNOV-TYPE METHOD FOR THE SHALLOW-WATER EQUATIONS. Mathematics of Computation, American Mathematical Society, 2016, 85 (299), pp.1281-1307. ⟨hal-00956799v2⟩

Christophe Berthon, S. Cornet, G. Sperone, Christophe Chalons. Fully well-balanced, positive and simple approximate Riemann solver for shallow water equations. Boletim da Sociedade Brasileira de Matemática / Bulletin of the Brazilian Mathematical Society, Springer Verlag, 2016, 47 (1), pp.117-130. ⟨10.1007/s00574-016-0126-1⟩. ⟨hal-02166377⟩

Christophe Chalons. A simple and accurate coupled HLL-type approximate Riemann solver for the two-fluid two-pressure model of compressible flows. International Journal on Finite Volumes, Institut de Mathématiques de Marseille, AMU, 2016. ⟨hal-01419932⟩

Nina Aguillon, Christophe Chalons. Nondiffusive conservative schemes based on approximate Riemann solvers for Lagrangian gas dynamics. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2016, 50 (6), pp.1887 - 1916. ⟨10.1051/m2an/2016010⟩. ⟨hal-01073680⟩

Christophe Chalons, Marc Massot, Aymeric Vié. On the Eulerian Large Eddy Simulation of disperse phase flows: an asymptotic preserving scheme for small Stokes number flows. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, Society for Industrial and Applied Mathematics, 2015, 13 (1), pp.291-315. ⟨10.1137/140960438⟩. ⟨hal-00958108⟩

Matthieu Boileau, Christophe Chalons, Marc Massot. ROBUST NUMERICAL COUPLING OF PRESSURE AND PRESSURELESS GAS DYNAMICS EQUATIONS FOR EULERIAN SPRAY DNS AND LES . SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2015, 37 (1), pp.79-102. ⟨10.1137/130945740⟩. ⟨hal-00906220v2⟩

Emmanuel Audusse, Christophe Chalons, Philippe Ung. A simple well-balanced and positive numerical scheme for the shallow-water system. Communications in Mathematical Sciences, International Press, 2015, 13 (5), pp.1317-1332. ⟨10.4310/CMS.2015.v13.n5.a11⟩. ⟨hal-01083364v2⟩

Annalisa Ambroso, Christophe Chalons, Frédéric Coquel, Thomas Galié. Interface model coupling via prescribed local flux balance. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2014, 48 (3), pp.895-918. ⟨10.1051/m2an/2013125⟩. ⟨hal-02190247⟩

Christophe Chalons, Paola Goatin, Nicolas Seguin. General constrained conservation laws. Application to pedestrian flow modeling.. Networks and Heterogeneous Media, AIMS-American Institute of Mathematical Sciences, 2013, 8 (2), pp.433-463. ⟨hal-00713609⟩

Christophe Chalons, Damien Kah, Marc Massot. Beyond pressureless gas dynamics : Quadrature-based velocity moment models. Communications in Mathematical Sciences, International Press, 2012, 10 (4), pp.1241-1272. ⟨10.4310/cms.2012.v10.n4.a11⟩. ⟨hal-00535782v2⟩

Christophe Berthon, Christophe Chalons, Rodolphe Turpault. Asymptotic-preserving Godunov-type numerical schemes for hyperbolic systems with stiff and non-stiff relaxation terms. Numerical Methods for Partial Differential Equations, Wiley, 2012, vol 29 (4), pp 1149-1172. ⟨10.1002/num.21749⟩. ⟨hal-00909103⟩

Christophe Chalons, Frédéric Coquel, Patrick Engel, Christian Rohde. Fast Relaxation Solvers for Hyperbolic-Elliptic Phase Transition Problems. SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2012, 34 (3), http://dx.doi.org/10.1137/110848815. ⟨hal-00726479⟩

Emmanuel Audusse, Christophe Chalons, Olivier Delestre, Nicole Goutal, Magali Jodeau, et al.. Sediment transport modelling : relaxation schemes for Saint-Venant - Exner and three layer models. ESAIM: Proceedings, EDP Sciences, 2012, 38, pp.78-98. ⟨10.1051/proc/201238005⟩. ⟨hal-00796049⟩

Romain Billot, Christophe Chalons, F. de Vuyst, N.-E. El Faouzi, Jacques Sau. A conditionally linearly stable second-order traffic model derived from a Vlasov kinetic description. Comptes Rendus Mécanique, Elsevier Masson, 2010, 338, pp.529-537. ⟨hal-00566031⟩

Benjamin Boutin, Christophe Chalons, Pierre-Arnaud Raviart. Existence result for the coupling problem of two scalar conservation laws with Riemann initial data. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2010, 20 (10), pp.1859--1898. ⟨10.1142/S0218202510004817⟩. ⟨hal-00871839⟩

Benjamin Boutin, Christophe Chalons, Frédéric Lagoutière, Philippe G. Lefloch. Convergent and conservative schemes for nonclassical solutions based on kinetic relations. Interfaces and Free Boundaries, European Mathematical Society, 2008, 10 (3), pp.399--421. ⟨10.4171/IFB/195⟩. ⟨hal-00457583⟩

Annalisa Ambroso, Christophe Chalons, Frédéric Coquel, Edwige Godlewski, Frédéric Lagoutière, et al.. The coupling of homogeneous models for two-phase flows. International Journal on Finite Volumes, Institut de Mathématiques de Marseille, AMU, 2007, 4, pp.1--39. ⟨hal-01117451⟩

Christophe Chalons, Frédéric Coquel. The Riemann problem for the multi-pressure Euler system. Journal of Hyperbolic Differential Equations, World Scientific Publishing, 2005, 3, pp.745-782. ⟨hal-00020201⟩

Frédéric Coquel, Christophe Chalons. Navier-Stokes equations with several independent pressure laws and explicit predictor-corrector schemes. Numerische Mathematik, Springer Verlag, 2005, 101, pp.451-478. ⟨hal-00112166⟩

N. Bedjaoui, Christophe Chalons, Frédéric Coquel, Philippe G. Lefloch. Non-monotonic traveling waves in Van der Waals fluids,. Analysis and Applications, World Scientific Publishing, 2005, 3, pp.419-446. ⟨hal-00018939⟩

N. Bedjaoui, Christophe Chalons, Frédéric Coquel, Philippe G. Lefloch. Non-monotonic traveling waves in van der Waals fluids. Anal. Appl. (Singap.) 3, 2005, 4, pp.419-446. ⟨hal-00020200⟩

N. Bedjaoui, Christophe Chalons, Frédéric Coquel, Philippe G. Lefloch. Non-monotonic travelling waves in van der Waals fluids. Anal.Appl.(Singap), 2005, 3, pp.419-446. ⟨hal-00112425⟩

Christophe Chalons, Régis Duvigneau, Camilla Fiorini. Sensitivity analysis for the Euler equations in Lagrangian coordinates. FVCA - 8th International Symposium on Finite Volumes for Complex Applications, Jun 2017, Lille, France. ⟨hal-01589307⟩

Camilla Fiorini, Régis Duvigneau, Christophe Chalons. Sensitivity Analysis for Hyperbolic Systems of Conservation Laws. SIAM Optimization, May 2017, Vancouver, Canada. ⟨hal-01589247⟩

J. Magiera, C. Rohde, M. Wiebe, Christophe Chalons. A finite volume tracking scheme for two-phase compressible flow. Proceedings of the HYP2016 international conference, 2016, Aachen, Germany. ⟨hal-02171830⟩

Mathieu Girardin, Samuel Kokh, Christophe Chalons. Operator-splitting based AP schemes for the 1D and 2D gas dynamics equations with stiff sources. Hyperbolic Problems: Theory, Numerics, Applications, 2012, Padova, Italy. pp.607-614. ⟨hal-02171829⟩

Christophe Chalons, Frédéric Coquel, Samuel Kokh, Nicole Spillane. Large Time-Step Numerical Scheme for the Seven-Equation Model of Compressible Two-Phase Flows. Finite Volumes for Complex Applications VI, 2011, Czech Republic. pp. 225-233, ⟨10.1007/978-3-642-20671-9_24⟩. ⟨hal-01018835⟩

Matthieu Boileau, Christophe Chalons, Jean-François Bourgouin, Cédric Terrier, Frédérique Laurent, et al.. Robust numerical schemes for Eulerian spray DNS and LES in two-phase turbulent flows. 7th International Conference on Multiphase Flows, ICMF 2010, May 2010, Tampa, FL, United States. pp.1-15. ⟨hal-00498182⟩

Maxime Stauffert, Christophe Chalons. A High-Order Discontinuous Galerkin Lagrange Projection Scheme for the Barotropic Euler Equations. Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems, pp.63-70, 2017, ⟨10.1007/978-3-319-57394-6_7⟩. ⟨hal-02173689⟩

Christophe Chalons, Michael Ndjinga, Thi-Phuoung-Kieu Nguyen. Numerical Simulation of an Incompressible Two-Fluid Model. Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problem, 78, pp.919-926, 2014, Proceedings in Mathematics and Statistics, ⟨10.1007/978-3-319-05591-6_93⟩. ⟨hal-02173680⟩

Frédérique Laurent, Aymeric Vié, Christophe Chalons, Rodney Fox, Marc Massot. A hierarchy of Eulerian models for trajectory crossing in particle-laden turbulent flows over a wide range of Stokes numbers. Center for Turbulence Research. Annual Research Briefs 2012, Center for Turbulence Research - Stanford University, pp.193-204, 2013. ⟨hal-00773331⟩

Damien Kah, Aymeric Vié, Christophe Chalons, Marc Massot. Second-order scheme for quadrature-based velocity high order moment methods for disperse two-phase flows. Annual Research Briefs of the Center for Turbulence Research, Center for Turbulence Research - Stanford University, pp.321-334, 2012. ⟨hal-00653057⟩

Aymeric Vié, Christophe Chalons, Rodney Fox, Frédérique Laurent, Marc Massot. A multi-Gaussian quadrature method of moments for simulating high Stokes number turbulent two-phase flows. Annual Research Brief of the Center for Turbulence Research - Stanford University, Center for Turbulence Research - Stanford University, pp.309-320, 2012. ⟨hal-00653105⟩

Christophe Chalons, Samuel Kokh, Maxime Stauffert. An all-regime and well-balanced Lagrange-projection type scheme for the shallow water equations on unstructured meshes. 2019. ⟨hal-02004835⟩

Tomas Morales de Luna, Manuel Castro Díaz, Christophe Chalons. High-order fully well-balanced Lagrange-Projection scheme for shallow water. 2019. ⟨hal-02158190⟩

Christophe Chalons. Path-conservative In-cell Discontinuous Reconstruction schemes for non conservative hyperbolic systems. 2019. ⟨hal-02263335⟩

Anatole Khelif, Max Lemax, Christophe Chalons. Hauteur de l'arbre de Jacobson. 2019. ⟨hal-02106146⟩

Christophe Chalons, Maxime Stauffert. A well-balanced Discontinuous-Galerkin Lagrange-Projection scheme for the Shallow Water Equations. 2017. ⟨hal-01612292⟩

Christophe Chalons, Sébastien Guisset. An anti-diffusive HLL scheme for the electronic M1 model in the diffusion limit. 2017. ⟨hal-01511519⟩

Christophe Chalons, Frédéric Coquel. A new comment on the computation of non conservative products using Roe-type path conservative schemes. 2016. ⟨hal-01424306⟩

Christophe Chalons, Pierre Kestener, Samuel Kokh, Maxime Stauffert. A large time-step and well-balanced Lagrange-Projection type scheme for the shallow-water equations. 2016. ⟨hal-01297043v2⟩

Michael Ndjinga, Thi-Phuong-Kieu Nguyen, Christophe Chalons. A 2 × 2 HYPERBOLIC SYSTEM MODELLING INCOMPRESSIBLE TWO PHASE FLOWS -THEORY AND NUMERICS . 2016. ⟨hal-01303133⟩

Emmanuel Audusse, Christophe Chalons, Philippe Ung. A simple three-wave Approximate Riemann Solver for the Saint-Venant–Exner equations. 2016. ⟨hal-01204754v2⟩

Christophe Chalons, Mathieu Girardin, Samuel Kokh. An all-regime Lagrange-Projection like scheme for the gas dynamics equations on unstructured meshes. 2014. ⟨hal-01007622v2⟩

Christophe Chalons, Samuel Kokh, Mathieu Girardin. Large time step and asymptotic preserving numerical schemes for the gas dynamics equations with source terms. 2012. ⟨hal-00718022⟩

Christophe Chalons, Patrick Engel, Christian Rohde. A CONSERVATIVE AND CONVERGENT SCHEME FOR UNDERCOMPRESSIVE SHOCK WAVES. 2012. ⟨hal-00747238⟩

Christophe Chalons, Frédéric Coquel. Modified Suliciu relaxation system and exact resolution of isolated shock waves. 2012. ⟨hal-00737870⟩

Emmanuel Audusse, Christophe Chalons, Olivier Delestre, Nicole Goutal, Magali Jodeau, et al.. Sediment transport modelling : Relaxation schemes for Saint-Venant -- Exner and three layer models. 2012. ⟨hal-00674363⟩

Annalisa Ambroso, Christophe Chalons, Pierre-Arnaud Raviart. A Godunov-type method for the seven-equation model of compressible two-phase flow. 2010. ⟨hal-00517375⟩

Christophe Chalons, Frédéric Coquel. Computing material fronts with a Lagrange-Projection approach. 2010. ⟨hal-00548938⟩

Christophe Chalons, Frédéric Coquel, Edwige Godlewski, Pierre-Arnaud Raviart, Nicolas Seguin. Godunov-type schemes for hyperbolic systems with parameter dependent source. The case of Euler system with friction. 2009. ⟨hal-00401616⟩

Christophe Chalons. Bilans d'entropie discrets dans l'approximation numerique des chocs non classiques. Application aux equations de Navier-Stokes multi-pression 2D et a quelques systemes visco-capillaires. Mathématiques [math]. Ecole Polytechnique X, 2002. Français. ⟨tel-00002077⟩