Emmanuel Audusse

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All published works
Action Title Year Authors
+ PDF Chat Energy-Stable and Linearly Well-Balanced Numerical Schemes for the Nonlinear Shallow Water Equations with the Coriolis Force 2025 Emmanuel Audusse
Virgile Dubos
Noémie Gaveau
Yohan Penel
+ Discrete entropy inequalities <i>via</i> an optimization process 2023 Nina Aguillon
Emmanuel Audusse
Vivien Desveaux
Julien Salomon
+ Flow of Newtonian Fluids in a Pressurized Pipe 2023 Laila Baroukh
Emmanuel Audusse
+ PDF Chat WEAK FORMULATION AND FINITE ELEMENT APPROXIMATION OF THE NAVIER-STOKES EQUATION WITH FREE SURFACE 2022 Emmanuel Audusse
Gabriel R. Barrenechea
Astrid Decoene
Pierrick Quemar
+ PDF Chat Analysis of modified Godunov type schemes for the two-dimensional linear wave equation with Coriolis source term on cartesian meshes 2018 Emmanuel Audusse
Minh Hieu
Pascal Omnès
Yohan Penel
+ PDF Chat Analysis of the Riemann Problem for a Shallow Water Model with Two Velocities 2018 Nina Aguillon
Emmanuel Audusse
Edwige Godlewski
Martin Parisot
+ PDF Chat Asymptotic Preserving Finite Volume Schemes for the Singularly-perturbed Shallow Water Equations with Source Terms 2017 Hamed Zakerzadeh
Sebastian Noelle
Emmanuel Audusse
Martin Frank
+ PDF Chat Godunov type scheme for the linear wave equation with Coriolis source term 2017 Emmanuel Audusse
Stéphane Dellacherie
Minh-Hieu Do
Pascal Omnès
Yohan Penel
+ Kinetic entropy for the layer-averaged hydrostatic Navier-Stokes equations 2017 Emmanuel Audusse
Marie-Odile Bristeau
Jacques Sainte-Marie
+ Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system 2016 Emmanuel Audusse
François Bouchut
Marie-Odile Bristeau
Jacques Sainte-Marie
+ PDF Chat A simple well-balanced and positive numerical scheme for the shallow-water system 2015 Emmanuel Audusse
Christophe Chalons
Philippe Ung
+ Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system 2014 Emmanuel Audusse
François Bouchut
Marie-Odile Bristeau
Jacques Sainte-Marie
+ Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system 2014 Emmanuel Audusse
François Bouchut
Marie-Odile Bristeau
Jacques Sainte-Marie
+ PDF Chat Parallelization of a relaxation scheme modelling the bedload transport of sediments in shallow water flow 2013 Emmanuel Audusse
Olivier Delestre
Minh Hoang Le
M. Masson-Fauchier
Pierre Navaro
Roberto Serra
+ PDF Chat A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation 2010 Emmanuel Audusse
Marie-Odile Bristeau
Benoı̂t Perthame
Jacques Sainte-Marie
+ PDF Chat Optimized Schwarz Waveform Relaxation for the Primitive Equations of the Ocean 2010 Emmanuel Audusse
Pierre Dreyfuss
Benoït Merlet
+ PDF Chat Optimized Schwarz waveform relaxation for Primitive Equations of the ocean 2009 Emmanuel Audusse
Pierre Dreyfuss
Benoït Merlet
+ A multilayer Saint-Venant system with mass exchanges for Shallow Water flows. Derivation and numerical validation 2009 Emmanuel Audusse
Marie-Odile Bristeau
Benoı̂t Perthame
Jacques Sainte-Marie
+ PDF Chat Finite-Volume Solvers for a Multilayer Saint-Venant System 2007 Emmanuel Audusse
Marie-Odile Bristeau
+ A well-balanced positivity preserving “second-order” scheme for shallow water flows on unstructured meshes 2005 Emmanuel Audusse
Marie-Odile Bristeau
+ Uniqueness for scalar conservation laws with discontinuous flux via adapted entropies 2005 Emmanuel Audusse
Benoı̂t Perthame
+ PDF Chat hyperbolic models and numerical analysis for shallow water flows 2004 Emmanuel Audusse
+ A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows 2004 Emmanuel Audusse
François Bouchut
Marie-Odile Bristeau
Rupert Klein
Benoı̂t Perthame
+ PDF Chat Transport of Pollutant in Shallow Water A Two Time Steps Kinetic Method 2003 Emmanuel Audusse
Marie-Odile Bristeau
+ Kinetic Schemes for Saint-Venant Equations with Source Terms on Unstructured Grids 2000 Emmanuel Audusse
Marie-Odile Bristeau
Benoı̂t Perthame
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat A kinetic scheme for the Saint-Venant system¶with a source term 2001 Benoı̂t Perthame
Chiara Simeoni
8
+ A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows 2004 Emmanuel Audusse
François Bouchut
Marie-Odile Bristeau
Rupert Klein
Benoı̂t Perthame
7
+ Kinetic Formulation of Conservation Laws 2002 Benoı̂t Perthame
5
+ Upwind methods for hyperbolic conservation laws with source terms 1994 Alfredo Bermúdez
Ma Elena Vazquez
5
+ Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws 2004 François Bouchut
4
+ Numerical Approximation of Hyperbolic Systems of Conservation Laws 1996 Edwige Godlewski
Pierre-Arnaud Raviart
4
+ PDF Chat Some approximate Godunov schemes to compute shallow-water equations with topography 2003 Thierry Gallouët
Jean-Marc Hérard
Nicolas Seguin
4
+ Approximate Riemann solvers, parameter vectors, and difference schemes 1981 Philip L. Roe
4
+ A well-balanced positivity preserving “second-order” scheme for shallow water flows on unstructured meshes 2005 Emmanuel Audusse
Marie-Odile Bristeau
4
+ A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations 1996 J. M. Greenberg
Alain Leroux
4
+ Boundary Conditions for the Shallow Water Equations solved by Kinetic Schemes 2001 Marie-Odile Bristeau
Benoit Coussin
4
+ Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes 1997 Philip L. Roe
3
+ PDF Chat A new two-dimensional Shallow Water model including pressure effects and slow varying bottom topography 2004 Stefania Ferrari
Fausto Saleri
3
+ Kinetic Schemes for Saint-Venant Equations with Source Terms on Unstructured Grids 2000 Emmanuel Audusse
Marie-Odile Bristeau
Benoı̂t Perthame
3
+ Computational Design of the Basic Dynamical Processes of the UCLA General Circulation Model 1977 Akio Arakawa
V. R. Lamb
3
+ Finite Volume Simulation of the Geostrophic Adjustment in a Rotating Shallow-Water System 2008 Manuel J. Castro
Juan Antonio López
Carlos Parés
3
+ PDF Chat A<i>Q</i>-scheme for a class of systems of coupled conservation laws with source term. Application to a two-layer 1-D shallow water system 2001 Manuel J. Castro
Jorge Macı́as
Carlos Parés
3
+ Boltzmann Type Schemes for Gas Dynamics and the Entropy Property 1990 Benoı̂t Perthame
2
+ Some Mathematical Problems in Geophysical Fluid Dynamics 2009 Mădălina Petcu
Roger Témam
Mohammed Ziane
2
+ Optimal Schwarz Waveform Relaxation for the One Dimensional Wave Equation 2003 Martin J. Gander
Laurence Halpern
Frédéric Nataf
2
+ PDF Chat The RS-IMEX Scheme for the Rotating Shallow Water Equations with the Coriolis Force 2017 Hamed Zakerzadeh
2
+ On Godunov-type methods near low densities 1991 Bernd Einfeldt
C.‐D. Munz
Philip L. Roe
Björn Sjögreen
2
+ The influence of cell geometry on the Godunov scheme applied to the linear wave equation 2010 Stéphane Dellacherie
Pascal Omnès
Felix Rieper
2
+ PDF Chat Finite-Volume Solvers for a Multilayer Saint-Venant System 2007 Emmanuel Audusse
Marie-Odile Bristeau
2
+ Computing Qualitatively Correct Approximations of Balance Laws 2013 Laurent Gosse
2
+ PDF Chat Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics 2007 Chongsheng Cao
Edriss S. Titi
2
+ Convergence of the $2 \times 2$ Godunov Method for a General Resonant Nonlinear Balance Law 1995 Eli L. Isaacson
Blake Temple
2
+ Existence and stability of entropy solutions for the hyperbolic systems of isentropic gas dynamics in Eulerian and Lagrangian coordinates 1998 Pierre‐Louis Lions
Benoı̂t Perthame
Panagiotis E. Souganidis
2
+ Upwind schemes for the two-dimensional shallow water equations with variable depth using unstructured meshes 1998 Alfredo Bermúdez
Alain Dervieux
Jean‐Antoine Désidéri
Ma Elena Vazquez
2
+ PDF Chat A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation 2010 Emmanuel Audusse
Marie-Odile Bristeau
Benoı̂t Perthame
Jacques Sainte-Marie
2
+ Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method 1979 Bram van Leer
2
+ PDF Chat Well-balanced finite volume evolution Galerkin methods for the shallow water equations 2006 Mária Lukáčová-Medviďová
Sebastian Noelle
Markus Kraft
2
+ Stability of a Cartesian grid projection method for zero Froude number shallow water flows 2009 Stefan Vater
Rupert Klein
2
+ Optimized Schwarz Methods 2006 Martin J. Gander
2
+ PDF Chat Waveform Relaxation with Overlapping Splittings 1995 Rolf Jeltsch
B.A. Pohl
2
+ Derivation of a new two-dimensional viscous shallow water model with varying topography, bottom friction and capillary effects 2006 Fabien Marche
2
+ A Wave Propagation Method for Conservation Laws and Balance Laws with Spatially Varying Flux Functions 2003 Derek S. Bale
Randall J. LeVeque
Sorin Mitran
James A. Rossmanith
2
+ Second-Order Boltzmann Schemes for Compressible Euler Equations in One and Two Space Dimensions 1992 Benoı̂t Perthame
2
+ Monotone Operators in Banach Space and Nonlinear Partial Differential Equations 2013 R. E. Showalter
2
+ Analysis of Godunov type schemes applied to the compressible Euler system at low Mach number 2009 Stéphane Dellacherie
2
+ PDF Chat A Subsonic-Well-Balanced Reconstruction Scheme for Shallow Water Flows 2010 François Bouchut
T. Morales de Luna
2
+ A well-balanced flux-vector splitting scheme designed for hyperbolic systems of conservation laws with source terms 2000 Laurent Gosse
2
+ PDF Chat Transport of Pollutant in Shallow Water A Two Time Steps Kinetic Method 2003 Emmanuel Audusse
Marie-Odile Bristeau
2
+ PDF Chat Equilibrium schemes for scalar conservation laws with stiff sources 2001 Ramaz Botchorishvili
Benoı̂t Perthame
Alexis Vasseur
2
+ On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws 1983 Amiram Harten
Peter D. Lax
Bram van Leer
2
+ PDF Chat An explicit asymptotic preserving low Froude scheme for the multilayer shallow water model with density stratification 2017 Frédéric Couderc
Arnaud Duran
J. P. Vila
2
+ A fully discrete scheme for diffusive-dispersive conservation laws 2001 Christophe Chalons
Philippe G. LeFloch
1
+ PDF Chat An introduction to finite volume methods for hyperbolic conservation laws 2005 François Bouchut
1
+ Central Schemes for Balance Laws 2002 Giovanni Russo
1
+ PDF Chat On Essentially Non-oscillatory Schemes on Unstructured Meshes: Analysis and Implementation 1994 Rémi Abgrall
1