Edit Profile (opens in new tab) Berthon, Christophe Compute Distance To: Compute Author ID: berthon.christophe Published as: Berthon, Christophe; Berthon, C. Homepage: https://www.univ-nantes.fr/christophe-berthon External Links: MGP Documents Indexed: 80 Publications since 1999 2 Contributions as Editor Co-Authors: 72 Co-Authors with 74 Joint Publications 1,286 Co-Co-Authors all top 5 Co-Authors 8 single-authored 17 Turpault, Rodolphe 9 Coquel, Frédéric 9 Foucher, Françoise 6 Michel-Dansac, Victor 6 Nkonga, Boniface 5 Braconnier, Benjamin 5 Desveaux, Vivien 5 Dubroca, Bruno 5 Tran, Quang Huy 4 Bessemoulin-Chatard, Marianne 4 Chalons, Christophe 4 Marche, Fabien 4 Preux, Christophe 3 Clain, Stéphane Louis 3 Crestetto, Anaïs 3 Flauraud, Eric 3 Le, Minh Hoang 3 Zenk, Markus 2 Badsi, Mehdi 2 Boutin, Benjamin 2 Bulteau, Solène 2 Charrier, Pierre 2 Coudière, Yves 2 Delestre, Olivier 2 Duran, Arnaud 2 Frank, Martin 2 Laurent, Karine 2 LeFloch, Philippe Gerard 2 Moebs, Guy 2 Reignier, Didier 2 Sangam, Afeintou 2 Sarazin, Céline 1 Abgrall, Rémi 1 Aregba-Driollet, Denise 1 Audit, Edouard 1 Audusse, Emmanuel 1 Baudin, Michaël 1 Breuß, Michael 1 Buet, Christophe 1 Castro, Manuel J. 1 Claudel, Jean 1 Cordier, Stéphane 1 Cornet, Selim 1 Coulombel, Jean-François 1 de Leffe, Matthieu 1 Després, Bruno 1 Dongmo Nguepi, Guissel Lagnol 1 Ghitti, Beatrice 1 Giesselmann, Jan 1 Goudon, Thierry 1 Goutal, Nicole 1 Hérard, Jean-Marc 1 Jodeau, Magali 1 Krycki, Kai 1 Loubère, Raphaël 1 Masson, Roland 1 Mathis, Hélène 1 M’baye, Meissa 1 Morales de Luna, Tomás 1 Morel, Jim E. 1 Nguyen-Bui, T.-H. 1 Parés Madroñal, Carlos 1 Sadaka, Georges 1 Sainte-Marie, Jacques 1 Saleh, Khaled 1 Sarazin-Desbois, Céline 1 Seck, Diaraf 1 Sperone, Gianmarco 1 Titeux, Marc-Olivier 1 Toro, Eleuterio F. 1 Vides, Jeaniffer 1 Zabsonré, Jean De Dieu all top 5 Serials 7 Journal of Computational Physics 5 Mathematics of Computation 5 Journal of Scientific Computing 4 Computers and Fluids 4 Numerical Methods for Partial Differential Equations 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Communications in Mathematical Sciences 3 International Journal on Finite Volumes 2 Calcolo 2 Numerische Mathematik 2 Communications in Computational Physics 2 Advances in Applied Mathematics and Mechanics 2 SMAI Journal of Computational Mathematics 1 Computers & Mathematics with Applications 1 International Journal for Numerical Methods in Fluids 1 Mathematical Methods in the Applied Sciences 1 Shock Waves 1 SIAM Journal on Numerical Analysis 1 Applied Mathematics Letters 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Scientific Computing 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Flow, Turbulence and Combustion 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Computational Geosciences 1 Bulletin of the Brazilian Mathematical Society. New Series 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Panoramas et Synthèses 1 Communications in Applied Mathematics and Computational Science 1 Discrete and Continuous Dynamical Systems. Series S all top 5 Fields 58 Numerical analysis (65-XX) 54 Fluid mechanics (76-XX) 32 Partial differential equations (35-XX) 6 Astronomy and astrophysics (85-XX) 5 Geophysics (86-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 63 Publications have been cited 548 times in 332 Documents Cited by ▼ Year ▼ A relaxation method for two-phase flow models with hydrodynamic closure law. Zbl 1204.76025Baudin, Michaël; Berthon, Christophe; Coquel, Frédéric; Masson, Roland; Tran, Quang Huy 41 2005 An HLLC scheme to solve the \(M_{1}\) model of radiative transfer in two space dimensions. Zbl 1133.85003Berthon, Christophe; Charrier, Pierre; Dubroca, Bruno 32 2007 A positive preserving high order VFRoe scheme for shallow water equations: a class of relaxation schemes. Zbl 1358.76053Berthon, Christophe; Marche, Fabien 30 2008 Stability of the MUSCL schemes for the Euler equations. Zbl 1161.65344Berthon, Christophe 27 2005 Well-balanced schemes to capture non-explicit steady states: Ripa model. Zbl 1382.65310Desveaux, Vivien; Zenk, Markus; Berthon, Christophe; Klingenberg, Christian 26 2016 Efficient well-balanced hydrostatic upwind schemes for shallow-water equations. Zbl 1351.76095Berthon, Christophe; Foucher, Françoise 26 2012 Asymptotic preserving HLL schemes. Zbl 1237.65100Berthon, Christophe; Turpault, Rodolphe 21 2011 A fully well-balanced, positive and entropy-satisfying Godunov-type method for the shallow-water equations. Zbl 1382.76180Berthon, Christophe; Chalons, Christophe 20 2016 A relaxation scheme for the approximation of the pressureless Euler equations. Zbl 1108.76064Berthon, Christophe; Breuß, Michael; Titeux, Marc-Olivier 18 2006 Numerical approximations of the 10-moment Gaussian closure. Zbl 1105.76036Berthon, Christophe 18 2006 Why many theories of shock waves are necessary: kinetic relations for non-conservative systems. Zbl 1234.35190Berthon, Christophe; Coquel, Frédéric; LeFloch, Philippe G. 18 2012 Robustness of MUSCL schemes for 2D unstructured meshes. Zbl 1161.65345Berthon, Christophe 17 2006 A well-balanced scheme for the Euler equation with a gravitational potential. Zbl 1304.76027Desveaux, Vivien; Zenk, Markus; Berthon, Christophe; Klingenberg, Christian 16 2014 Late-time/stiff-relaxation asymptotic-preserving approximations of hyperbolic equations. Zbl 1317.65182Berthon, Christophe; LeFloch, Philippe G.; Turpault, Rodolphe 15 2013 An efficient scheme on wet/dry transitions for shallow water equations with friction. Zbl 1271.76178Berthon, Christophe; Marche, Fabien; Turpault, Rodolphe 15 2011 A well-balanced scheme for the shallow-water equations with topography. Zbl 1359.76206Michel-Dansac, Victor; Berthon, Christophe; Clain, Stéphane; Foucher, Françoise 14 2016 A well-balanced scheme for the shallow-water equations with topography or Manning friction. Zbl 1375.35389Michel-Dansac, Victor; Berthon, Christophe; Clain, Stéphane; Foucher, Françoise 11 2017 Asymptotic preserving scheme for the shallow water equations with source terms on unstructured meshes. Zbl 1351.76104Duran, A.; Marche, F.; Turpault, R.; Berthon, C. 10 2015 An approximate solution of the Riemann problem for a realisable second-moment turbulent closure. Zbl 0996.76039Berthon, C.; Coquel, F.; Hérard, J. M.; Uhlmann, M. 10 2002 An entropy preserving relaxation scheme for ten-moments equations with source terms. Zbl 1329.76199Berthon, Christophe; Dubroca, Bruno; Sangam, Afeintou 9 2015 Nonlinear projection methods for multi-entropies Navier-Stokes systems. Zbl 1078.76573Berthon, Christophe; Coquel, Frédéric 9 2002 Travelling wave solutions of a convective diffusive system with first and second order terms in nonconservation form. Zbl 0934.35030Berthon, Christophe; Coquel, Frédéric 9 1999 Schéma nonlinéaire pour l’approximation numérique d’un système hyperbolique non conservatif. (Nonlinear scheme to approximate nonconservative hyperbolic system). Zbl 1018.65107Berthon, Christophe 8 2002 Sediment transport modelling: relaxation schemes for Saint-Venant-Exner and three layer models. Zbl 1407.86003Audusse, Emmanuel; Berthon, Christophe; Chalons, Christophe; Delestre, Olivier; Goutal, Nicole; Jodeau, Magali; Sainte-Marie, Jacques; Giesselmann, Jan; Sadaka, Georges 7 2012 Why the MUSCL-Hancock scheme is \(\text{L}^{1}\)-stable. Zbl 1106.65079Berthon, Christophe 7 2006 Nonlinear projection methods for multi-entropies Navier-Stokes systems. Zbl 1110.76035Berthon, Christophe; Coquel, Frédéric 7 2007 A free streaming contact preserving scheme for the \(M_1\) model. Zbl 1262.65097Berthon, C.; Dubois, J.; Dubroca, B.; Nguyen-Bui, T.-H.; Turpault, R. 7 2010 A well-balanced finite volume scheme for a mixed hyperbolic/parabolic system to model chemotaxis. Zbl 1350.65093Berthon, Christophe; Crestetto, Anaïs; Foucher, Françoise 5 2016 A Godunov-type solver for the numerical approximation of gravitational flows. Zbl 1373.85005Vides, J.; Braconnier, B.; Audit, E.; Berthon, C.; Nkonga, B. 5 2014 Entropy inequalities for a relaxation scheme. (Inégalités d’entropie pour un schéma de relaxation.) Zbl 1061.65077Berthon, Christophe 5 2005 Multiple solutions for compressible turbulent flow models. Zbl 1109.35073Berthon, Christophe; Coquel, Frédéric 5 2006 An asymptotic preserving relaxation scheme for a moment model of radiative transfer. Zbl 1114.65098Berthon, Christophe; Charrier, Pierre; Dubroca, Bruno 5 2007 Numerical approximation of a degenerate non-conservative multifluid model: relaxation scheme. Zbl 1063.76060Berthon, C.; Braconnier, B.; Nkonga, B. 5 2005 A local entropy minimum principle for deriving entropy preserving schemes. Zbl 1423.76291Berthon, Christophe; Dubroca, Bruno; Sangam, Afeintou 5 2012 An analytical solution of the shallow water system coupled to the Exner equation. Zbl 1235.35218Berthon, Christophe; Cordier, Stéphane; Delestre, Olivier; Le, Minh Hoang 5 2012 Mathematical models and numerical methods for radiative transfer. Collection of papers from the summer school, Nice, France, July 31 to August 4, 2007. Zbl 1188.85001 4 2009 An asymptotic-preserving scheme for systems of conservation laws with source terms on 2D unstructured meshes. Zbl 1298.65130Berthon, C.; Moebs, G.; Turpault, R. 4 2014 Asymptotic preserving numerical schemes for a non-classical radiation transport model for atmospheric clouds. Zbl 1276.65053Krycki, Kai; Berthon, Christophe; Frank, Martin; Turpault, Rodolphe 4 2013 Second-order MUSCL schemes based on dual mesh gradient reconstruction (DMGR). Zbl 1302.65183Berthon, Christophe; Coudière, Yves; Desveaux, Vivien 4 2014 Numerical methods for balance laws with space dependent flux: application to radiotherapy dose calculation. Zbl 1373.76116Berthon, Christophe; Frank, Martin; Sarazin, Céline; Turpault, Rodolphe 3 2011 A conservative well-balanced hybrid SPH scheme for the shallow-water model. Zbl 1426.76593Berthon, Christophe; de Leffe, Matthieu; Michel-Dansac, Victor 3 2014 An efficient splitting technique for two-layer shallow-water model. Zbl 1338.76073Berthon, Christophe; Foucher, Françoise; Morales, Tomás 3 2015 An asymptotic-preserving scheme for systems of conservation laws with source terms on 2D unstructured meshes. Zbl 1382.65266Berthon, Christophe; Moebs, Guy; Sarazin-Desbois, Céline; Turpault, Rodolphe 3 2016 Fully well-balanced, positive and simple approximate Riemann solver for shallow water equations. Zbl 1375.76096Berthon, C.; Chalons, C.; Cornet, S.; Sperone, Gians 3 2016 An approximate nonlinear projection scheme for a combustion model. Zbl 1062.65102Berthon, Christophe; Reignier, Didier 3 2003 Asymptotic-preserving Godunov-type numerical schemes for hyperbolic systems with stiff and nonstiff relaxation terms. Zbl 1281.65109Berthon, C.; Chalons, C.; Turpault, R. 3 2013 Multifluid numerical approximations based on a multipressure formulation. Zbl 1177.76210Berthon, Christophe; Nkonga, Boniface 3 2007 An analysis of physical models and numerical schemes for polymer flooding simulations. Zbl 1401.76131Braconnier, Benjamin; Preux, Christophe; Flauraud, Éric; Tran, Quang-Huy; Berthon, Christophe 2 2017 Space-time generalized Riemann problem solvers of order \(k\) for linear advection with unrestricted time step. Zbl 1273.65108Berthon, Christophe; Sarazin, Céline; Turpault, Rodolphe 2 2013 An all Mach number relaxation upwind scheme. Zbl 1447.65043Berthon, Christophe; Klingenberg, Christian; Zenk, Markus 2 2020 Hydrostatic upwind schemes for shallow-water equations. Zbl 1246.65171Berthon, Christophe; Foucher, Françoise 2 2011 A second-order well-balanced scheme for the shallow water equations with topography. Zbl 1405.76032Berthon, Christophe; Loubère, Raphaël; Michel-Dansac, Victor 1 2018 Nonlinear projection methods to approximate combustion turbulent flows. Zbl 1100.76546Berthon, Christophe; Reignier, Didier 1 2004 Nonlinear projection methods for multi-entropies Navier-Stokes systems. Zbl 1052.76556Berthon, Christophe; Coquel, Frédéric 1 1999 Behavior of the finite volumes schemes in material and numerical interfaces. Zbl 1177.76209Berthon, Christophe; Nkonga, Boniface 1 2002 A relaxation method for a two phase flow with surface tension. Zbl 1278.76084Berthon, C.; Braconnier, B.; Claudel, J.; Nkonga, B. 1 2006 Special issue: Selected papers based on the presentations at the 1st workshop of numerical approximations of hyperbolic systems and source terms and applications, Castro Urdiales, Spain, September 7–11, 2009. Zbl 1221.65003 1 2011 A fully well-balanced and asymptotic preserving scheme for the shallow-water equations with a generalized Manning friction source term. Zbl 1477.65142Bulteau, Solène; Badsi, Mehdi; Berthon, Christophe; Bessemoulin-Chatard, Marianne 1 2021 Development of DDFV methods for the Euler equations. Zbl 1246.65158Berthon, Christophe; Coudière, Yves; Desveaux, Vivien 1 2011 Shock layers for turbulence models. Zbl 1160.35474Berthon, Christophe; Coquel, Frédéric 1 2008 A Riemann solution approximation based on the zero diffusion-dispersion limit of Dafermos reformulation type problem. Zbl 1428.65058Berthon, Christophe; Bessemoulin-Chatard, Marianne; Crestetto, Anaïs; Foucher, Françoise 1 2019 A simple fully well-balanced and entropy preserving scheme for the shallow-water equations. Zbl 1410.65338Berthon, Christophe; Michel-Dansac, Victor 1 2018 Numerical convergence rate for a diffusive limit of hyperbolic systems: \(p\)-system with damping. Zbl 1416.65289Berthon, Christophe; Bessemoulin-Chatard, Marianne; Mathis, Hélène 1 2016 A fully well-balanced and asymptotic preserving scheme for the shallow-water equations with a generalized Manning friction source term. Zbl 1477.65142Bulteau, Solène; Badsi, Mehdi; Berthon, Christophe; Bessemoulin-Chatard, Marianne 1 2021 An all Mach number relaxation upwind scheme. Zbl 1447.65043Berthon, Christophe; Klingenberg, Christian; Zenk, Markus 2 2020 A Riemann solution approximation based on the zero diffusion-dispersion limit of Dafermos reformulation type problem. Zbl 1428.65058Berthon, Christophe; Bessemoulin-Chatard, Marianne; Crestetto, Anaïs; Foucher, Françoise 1 2019 A second-order well-balanced scheme for the shallow water equations with topography. Zbl 1405.76032Berthon, Christophe; Loubère, Raphaël; Michel-Dansac, Victor 1 2018 A simple fully well-balanced and entropy preserving scheme for the shallow-water equations. Zbl 1410.65338Berthon, Christophe; Michel-Dansac, Victor 1 2018 A well-balanced scheme for the shallow-water equations with topography or Manning friction. Zbl 1375.35389Michel-Dansac, Victor; Berthon, Christophe; Clain, Stéphane; Foucher, Françoise 11 2017 An analysis of physical models and numerical schemes for polymer flooding simulations. Zbl 1401.76131Braconnier, Benjamin; Preux, Christophe; Flauraud, Éric; Tran, Quang-Huy; Berthon, Christophe 2 2017 Well-balanced schemes to capture non-explicit steady states: Ripa model. Zbl 1382.65310Desveaux, Vivien; Zenk, Markus; Berthon, Christophe; Klingenberg, Christian 26 2016 A fully well-balanced, positive and entropy-satisfying Godunov-type method for the shallow-water equations. Zbl 1382.76180Berthon, Christophe; Chalons, Christophe 20 2016 A well-balanced scheme for the shallow-water equations with topography. Zbl 1359.76206Michel-Dansac, Victor; Berthon, Christophe; Clain, Stéphane; Foucher, Françoise 14 2016 A well-balanced finite volume scheme for a mixed hyperbolic/parabolic system to model chemotaxis. Zbl 1350.65093Berthon, Christophe; Crestetto, Anaïs; Foucher, Françoise 5 2016 An asymptotic-preserving scheme for systems of conservation laws with source terms on 2D unstructured meshes. Zbl 1382.65266Berthon, Christophe; Moebs, Guy; Sarazin-Desbois, Céline; Turpault, Rodolphe 3 2016 Fully well-balanced, positive and simple approximate Riemann solver for shallow water equations. Zbl 1375.76096Berthon, C.; Chalons, C.; Cornet, S.; Sperone, Gians 3 2016 Numerical convergence rate for a diffusive limit of hyperbolic systems: \(p\)-system with damping. Zbl 1416.65289Berthon, Christophe; Bessemoulin-Chatard, Marianne; Mathis, Hélène 1 2016 Asymptotic preserving scheme for the shallow water equations with source terms on unstructured meshes. Zbl 1351.76104Duran, A.; Marche, F.; Turpault, R.; Berthon, C. 10 2015 An entropy preserving relaxation scheme for ten-moments equations with source terms. Zbl 1329.76199Berthon, Christophe; Dubroca, Bruno; Sangam, Afeintou 9 2015 An efficient splitting technique for two-layer shallow-water model. Zbl 1338.76073Berthon, Christophe; Foucher, Françoise; Morales, Tomás 3 2015 A well-balanced scheme for the Euler equation with a gravitational potential. Zbl 1304.76027Desveaux, Vivien; Zenk, Markus; Berthon, Christophe; Klingenberg, Christian 16 2014 A Godunov-type solver for the numerical approximation of gravitational flows. Zbl 1373.85005Vides, J.; Braconnier, B.; Audit, E.; Berthon, C.; Nkonga, B. 5 2014 An asymptotic-preserving scheme for systems of conservation laws with source terms on 2D unstructured meshes. Zbl 1298.65130Berthon, C.; Moebs, G.; Turpault, R. 4 2014 Second-order MUSCL schemes based on dual mesh gradient reconstruction (DMGR). Zbl 1302.65183Berthon, Christophe; Coudière, Yves; Desveaux, Vivien 4 2014 A conservative well-balanced hybrid SPH scheme for the shallow-water model. Zbl 1426.76593Berthon, Christophe; de Leffe, Matthieu; Michel-Dansac, Victor 3 2014 Late-time/stiff-relaxation asymptotic-preserving approximations of hyperbolic equations. Zbl 1317.65182Berthon, Christophe; LeFloch, Philippe G.; Turpault, Rodolphe 15 2013 Asymptotic preserving numerical schemes for a non-classical radiation transport model for atmospheric clouds. Zbl 1276.65053Krycki, Kai; Berthon, Christophe; Frank, Martin; Turpault, Rodolphe 4 2013 Asymptotic-preserving Godunov-type numerical schemes for hyperbolic systems with stiff and nonstiff relaxation terms. Zbl 1281.65109Berthon, C.; Chalons, C.; Turpault, R. 3 2013 Space-time generalized Riemann problem solvers of order \(k\) for linear advection with unrestricted time step. Zbl 1273.65108Berthon, Christophe; Sarazin, Céline; Turpault, Rodolphe 2 2013 Efficient well-balanced hydrostatic upwind schemes for shallow-water equations. Zbl 1351.76095Berthon, Christophe; Foucher, Françoise 26 2012 Why many theories of shock waves are necessary: kinetic relations for non-conservative systems. Zbl 1234.35190Berthon, Christophe; Coquel, Frédéric; LeFloch, Philippe G. 18 2012 Sediment transport modelling: relaxation schemes for Saint-Venant-Exner and three layer models. Zbl 1407.86003Audusse, Emmanuel; Berthon, Christophe; Chalons, Christophe; Delestre, Olivier; Goutal, Nicole; Jodeau, Magali; Sainte-Marie, Jacques; Giesselmann, Jan; Sadaka, Georges 7 2012 A local entropy minimum principle for deriving entropy preserving schemes. Zbl 1423.76291Berthon, Christophe; Dubroca, Bruno; Sangam, Afeintou 5 2012 An analytical solution of the shallow water system coupled to the Exner equation. Zbl 1235.35218Berthon, Christophe; Cordier, Stéphane; Delestre, Olivier; Le, Minh Hoang 5 2012 Asymptotic preserving HLL schemes. Zbl 1237.65100Berthon, Christophe; Turpault, Rodolphe 21 2011 An efficient scheme on wet/dry transitions for shallow water equations with friction. Zbl 1271.76178Berthon, Christophe; Marche, Fabien; Turpault, Rodolphe 15 2011 Numerical methods for balance laws with space dependent flux: application to radiotherapy dose calculation. Zbl 1373.76116Berthon, Christophe; Frank, Martin; Sarazin, Céline; Turpault, Rodolphe 3 2011 Hydrostatic upwind schemes for shallow-water equations. Zbl 1246.65171Berthon, Christophe; Foucher, Françoise 2 2011 Special issue: Selected papers based on the presentations at the 1st workshop of numerical approximations of hyperbolic systems and source terms and applications, Castro Urdiales, Spain, September 7–11, 2009. Zbl 1221.65003 1 2011 Development of DDFV methods for the Euler equations. Zbl 1246.65158Berthon, Christophe; Coudière, Yves; Desveaux, Vivien 1 2011 A free streaming contact preserving scheme for the \(M_1\) model. Zbl 1262.65097Berthon, C.; Dubois, J.; Dubroca, B.; Nguyen-Bui, T.-H.; Turpault, R. 7 2010 Mathematical models and numerical methods for radiative transfer. Collection of papers from the summer school, Nice, France, July 31 to August 4, 2007. Zbl 1188.85001 4 2009 A positive preserving high order VFRoe scheme for shallow water equations: a class of relaxation schemes. Zbl 1358.76053Berthon, Christophe; Marche, Fabien 30 2008 Shock layers for turbulence models. Zbl 1160.35474Berthon, Christophe; Coquel, Frédéric 1 2008 An HLLC scheme to solve the \(M_{1}\) model of radiative transfer in two space dimensions. Zbl 1133.85003Berthon, Christophe; Charrier, Pierre; Dubroca, Bruno 32 2007 Nonlinear projection methods for multi-entropies Navier-Stokes systems. Zbl 1110.76035Berthon, Christophe; Coquel, Frédéric 7 2007 An asymptotic preserving relaxation scheme for a moment model of radiative transfer. Zbl 1114.65098Berthon, Christophe; Charrier, Pierre; Dubroca, Bruno 5 2007 Multifluid numerical approximations based on a multipressure formulation. Zbl 1177.76210Berthon, Christophe; Nkonga, Boniface 3 2007 A relaxation scheme for the approximation of the pressureless Euler equations. Zbl 1108.76064Berthon, Christophe; Breuß, Michael; Titeux, Marc-Olivier 18 2006 Numerical approximations of the 10-moment Gaussian closure. Zbl 1105.76036Berthon, Christophe 18 2006 Robustness of MUSCL schemes for 2D unstructured meshes. Zbl 1161.65345Berthon, Christophe 17 2006 Why the MUSCL-Hancock scheme is \(\text{L}^{1}\)-stable. Zbl 1106.65079Berthon, Christophe 7 2006 Multiple solutions for compressible turbulent flow models. Zbl 1109.35073Berthon, Christophe; Coquel, Frédéric 5 2006 A relaxation method for a two phase flow with surface tension. Zbl 1278.76084Berthon, C.; Braconnier, B.; Claudel, J.; Nkonga, B. 1 2006 A relaxation method for two-phase flow models with hydrodynamic closure law. Zbl 1204.76025Baudin, Michaël; Berthon, Christophe; Coquel, Frédéric; Masson, Roland; Tran, Quang Huy 41 2005 Stability of the MUSCL schemes for the Euler equations. Zbl 1161.65344Berthon, Christophe 27 2005 Entropy inequalities for a relaxation scheme. (Inégalités d’entropie pour un schéma de relaxation.) Zbl 1061.65077Berthon, Christophe 5 2005 Numerical approximation of a degenerate non-conservative multifluid model: relaxation scheme. Zbl 1063.76060Berthon, C.; Braconnier, B.; Nkonga, B. 5 2005 Nonlinear projection methods to approximate combustion turbulent flows. Zbl 1100.76546Berthon, Christophe; Reignier, Didier 1 2004 An approximate nonlinear projection scheme for a combustion model. Zbl 1062.65102Berthon, Christophe; Reignier, Didier 3 2003 An approximate solution of the Riemann problem for a realisable second-moment turbulent closure. Zbl 0996.76039Berthon, C.; Coquel, F.; Hérard, J. M.; Uhlmann, M. 10 2002 Nonlinear projection methods for multi-entropies Navier-Stokes systems. Zbl 1078.76573Berthon, Christophe; Coquel, Frédéric 9 2002 Schéma nonlinéaire pour l’approximation numérique d’un système hyperbolique non conservatif. (Nonlinear scheme to approximate nonconservative hyperbolic system). Zbl 1018.65107Berthon, Christophe 8 2002 Behavior of the finite volumes schemes in material and numerical interfaces. Zbl 1177.76209Berthon, Christophe; Nkonga, Boniface 1 2002 Travelling wave solutions of a convective diffusive system with first and second order terms in nonconservation form. Zbl 0934.35030Berthon, Christophe; Coquel, Frédéric 9 1999 Nonlinear projection methods for multi-entropies Navier-Stokes systems. Zbl 1052.76556Berthon, Christophe; Coquel, Frédéric 1 1999 all cited Publications top 5 cited Publications all top 5 Cited by 480 Authors 39 Berthon, Christophe 15 Chalons, Christophe 14 Hérard, Jean-Marc 12 Coquel, Frédéric 12 Dubroca, Bruno 11 Brull, Stephane 11 Turpault, Rodolphe 10 Bouchut, François 10 Kurganov, Alexander 9 Marche, Fabien 9 Xing, Yulong 8 LeFloch, Philippe Gerard 8 Li, Gang 7 Castro, Manuel J. 7 Clain, Stéphane Louis 7 Foucher, Françoise 7 Klingenberg, Christian 7 Kumar, Harish 7 Morales de Luna, Tomás 7 Parés Madroñal, Carlos 6 Chandrashekar, Praveen 6 Duran, Arnaud 6 Franck, Emmanuel 6 Frank, Martin 6 Guisset, Sebastien 6 Lhébrard, Xavier 5 Chertock, Alina E. 5 Delestre, Olivier 5 Després, Bruno 5 Hurisse, Olivier 5 Le, Minh Hoang 5 Meena, Asha Kumari 5 Michel-Dansac, Victor 5 Zeidan, Dia 4 Aregba-Driollet, Denise 4 Berberich, Jonas P. 4 Buet, Christophe 4 Cordier, Stéphane 4 Dumbser, Michael 4 Gavrilyuk, Sergey L. 4 Lannes, David 4 Mishra, Siddhartha 4 Nkonga, Boniface 4 Renac, Florent 4 Seguin, Nicolas 4 Tran, Quang Huy 3 Abreu, Eduardo 3 Alldredge, Graham W. 3 Balsara, Dinshaw S. 3 Busto, Saray 3 Chazel, Florent 3 Cuong, Dao Huy 3 Daude, Frédéric 3 Fernández-Nieto, Enrique Domingo 3 Galon, Pascal 3 Gao, Jinmei 3 Gao, Zhen 3 Godlewski, Edwige 3 Guillard, Hervé 3 Käppeli, Roger 3 Latché, Jean-Claude 3 Mai Duc Thanh 3 Massot, Marc 3 Navoret, Laurent 3 Pichard, Teddy 3 Popov, Boyan 3 Puppo, Gabriella 3 Qian, Shouguo 3 Shu, Chi-Wang 3 Vázquez-Cendón, María Elena 3 Vilar, François 3 Zenk, Markus 3 Zhu, Changjiang 3 Zia, Saqib 2 Abgrall, Rémi 2 Ambroso, Annalisa 2 Audusse, Emmanuel 2 Beljadid, Abdelaziz 2 Bessemoulin-Chatard, Marianne 2 Blachère, Florian 2 Bonneton, Philippe 2 Boutin, Benjamin 2 Boyaval, Sébastien 2 Braconnier, Benjamin 2 Bustos, Abel 2 Capdeville, Guy 2 Cargo, Patricia 2 Castro-Díaz, Manuel Jesús 2 Charrier, Pierre 2 Crestetto, Anaïs 2 Dawson, Clint N. 2 De Vuyst, Florian 2 Degond, Pierre 2 Desveaux, Vivien 2 Don, Wai Sun 2 Dorogan, Kateryna 2 Duclous, Roland 2 Duval, Fabien 2 Estibals, Élise 2 Evje, Steinar ...and 380 more Authors all top 5 Cited in 67 Serials 68 Journal of Computational Physics 33 Journal of Scientific Computing 29 Computers and Fluids 14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 13 Computers & Mathematics with Applications 11 Communications in Computational Physics 8 SIAM Journal on Scientific Computing 7 Mathematics of Computation 7 Numerische Mathematik 7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Applied Mathematics and Computation 6 Journal of Computational and Applied Mathematics 6 International Journal on Finite Volumes 5 Numerical Methods for Partial Differential Equations 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 SIAM Journal on Numerical Analysis 4 Applied Numerical Mathematics 4 Advances in Computational Mathematics 4 International Journal of Computational Fluid Dynamics 3 Computer Methods in Applied Mechanics and Engineering 3 International Journal for Numerical Methods in Fluids 3 Mathematical Methods in the Applied Sciences 3 Acta Applicandae Mathematicae 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 3 Computational Geosciences 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Networks and Heterogeneous Media 3 Kinetic and Related Models 3 SMAI Journal of Computational Mathematics 2 Calcolo 2 Journal of Differential Equations 2 Physica D 2 Journal of Mathematical Fluid Mechanics 2 European Journal of Mechanics. B. Fluids 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Multiscale Modeling & Simulation 2 Acta Numerica 2 Advances in Applied Mathematics and Mechanics 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 Journal of Computational and Theoretical Transport 1 Acta Mechanica 1 International Journal of Engineering Science 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Physica A 1 BIT 1 Mathematics and Computers in Simulation 1 Semigroup Forum 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Computational Mathematics and Modeling 1 Numerical Algorithms 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Computational and Applied Mathematics 1 Flow, Turbulence and Combustion 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Numerical Mathematics 1 Communications on Pure and Applied Analysis 1 Thai Journal of Mathematics 1 International Journal of Computational Methods 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Discrete and Continuous Dynamical Systems. Series S 1 Confluentes Mathematici 1 GEM - International Journal on Geomathematics 1 East Asian Journal on Applied Mathematics 1 Communications on Applied Mathematics and Computation all top 5 Cited in 28 Fields 249 Fluid mechanics (76-XX) 220 Numerical analysis (65-XX) 168 Partial differential equations (35-XX) 33 Geophysics (86-XX) 26 Statistical mechanics, structure of matter (82-XX) 10 Astronomy and astrophysics (85-XX) 7 Biology and other natural sciences (92-XX) 6 Mechanics of deformable solids (74-XX) 5 Relativity and gravitational theory (83-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Approximations and expansions (41-XX) 3 Integral equations (45-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of particles and systems (70-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year