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Author ID: leroux.alain-yves Recent zbMATH articles by "Leroux, Alain-Yves"
Published as: Le Roux, Alain-Yves; Le Roux, A. Y.; Leroux, Alain; Le Roux, Alain Yves; LeRoux, Alain-Yves; LeRoux, Alain Yves; Le-Roux, Alain-Yves; Yves Le Roux, Alain; LeRoux, A. Y.
Documents Indexed: 56 Publications since 1976
Co-Authors: 39 Co-Authors with 38 Joint Publications
669 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

32 Publications have been cited 842 times in 675 Documents Cited by Year
First order quasilinear equations with boundary conditions. Zbl 0418.35024
Bardos, C.; Le Roux, Alain-Yves; Nedelec, J. C.
264
1979
A well-balanced scheme for the numerical processing of source terms in hyperbolic equations. Zbl 0876.65064
Greenberg, James M.; Le Roux, Alain-Yves
256
1996
Analysis and approximation of conservation laws with source terms. Zbl 0888.65100
Greenberg, James M.; Le Roux, Alain-Yves; Baraille, Remy; Noussaïr, Ahmed
63
1997
Multiplications of distributions in elasticity and hydrodynamics. Zbl 0646.76007
Colombeau, J. F.; Le Roux, A. Y.
59
1988
A well-balanced scheme designed for inhomogeneous scalar conservation laws. (Un schéma-équilibre adapté aux lois de conservation scalaires non-homogènes.) Zbl 0858.65091
Gosse, Laurent; LeRoux, Alain-Yves
34
1996
Discontinuous generalized solutions of nonlinear nonconservative hyperbolic equations. Zbl 0691.35057
Cauret, J. J.; Colombeau, J. F.; Le Roux, A. Y.
23
1989
Microscopic profiles of shock waves and ambiguities in multiplications of distributions. Zbl 0674.76049
Colombeau, J. F.; Le Roux, A. Y.; Noussair, A.; Perrot, B.
22
1989
A numerical conception of entropy for quasi-linear equations. Zbl 0378.65053
Le Roux, Alain-Yves
15
1977
A well balanced scheme for a model of atmosphere with gravity. (Un schéma équilibre adapté au modèle d’atmosphère avec termes de gravité.) Zbl 0805.76063
Cargo, Patricia; Le Roux, Alain-Yves
14
1994
Étude du problème mixte pour une équation quasi-linéaire du premier ordre. Zbl 0366.35019
Le Roux, Alain-Yves
14
1977
Une version à pas fractionnaires du schéma de Godunov pour l’hydrodynamique. (A splitted version of the Godunov scheme for hydrodynamic models). Zbl 0745.76049
Baraille, Rémy; Bourdin, Ghislaine; Dubois, François; Le Roux, Alain-Yves
10
1992
Convergence of an accurate scheme for first order quasi linear equations. Zbl 0474.65073
Le Roux, Alain-Yves
7
1981
Convergence of numerical schemes involving powers of the Dirac delta function. Zbl 0691.65067
Adamczewski, M.; Colombeau, J. F.; Le Roux, A. Y.
7
1990
Convergence of an antidiffusion Lagrange-Euler scheme for quasi-linear equations. Zbl 0565.65053
Le Roux, Alain-Yves; Quesseveur, P.
6
1984
Numerical stability for some equations of gas dynamics. Zbl 0537.76042
Le Roux, Alain-Yves
6
1981
Preferences and normal goods: A sufficient condition. Zbl 0639.90004
Leroux, Alain
5
1987
Riemann solvers for some hyperbolic problems with a source term. Zbl 0926.76065
Le Roux, Alain-Yves
5
1999
Solutions généralisées discontinues de problèmes hyperboliques non conservatifs. (Discontinuous generalized solutions of nonlinear nonconservative hyperbolic equations). Zbl 0598.35067
Cauret, Jean-Jacques; Colombeau, Jean-François; Le Roux, Alain-Yves
4
1986
Numerical solution of a nonlinear reaction diffusion equation. Zbl 1127.65320
Le Roux, Alain-Yves; Le Roux, Marie-Noelle
3
2005
Numerical techniques in elastoplasticity. Zbl 0644.73039
Colombeau, J. F.; Le Roux, A. Y.
3
1987
A new version of the two-dimensional Lax-Friedrichs scheme. Zbl 0829.35076
Boukadida, T.; LeRoux, A. Y.
3
1994
On the convergence of the Godounov’s scheme for first order quasi linear equations. Zbl 0372.35015
Le Roux, Alain Yves
3
1976
Convergence of a stationary profiles scheme for the first order quasilinear equations with source terms. (Convergence d’un schéma à profils stationnaires pour les équations quasi linéaires du premier ordre avec termes sources.) Zbl 0992.65098
Le Roux, Alain Yves; Le Roux, Marie Noëlle
3
2001
Multiplication de distributions et ondes de choc élastiques ou hydrodynamiques en dimension un. (Multiplication of distributions and shock waves in elasticity and hydrodynamics in one space dimension). Zbl 0631.76072
Colombeau, Jean-François; Le Roux, Alain-Yves; Perrot, Bernard
2
1987
Other determinental conditions for concavity and quasi-concavity. Zbl 0557.90078
Leroux, Alain
2
1984
Well-balanced schemes versus fractional step method for hyperbolic system with source terms. Zbl 1117.65120
Gallouet, Thierry; Hérad, Jean-Mare; Hurisse, Olivier; Le Roux, Alain-Yves
2
2006
Numerical solution of a Cauchy problem for nonlinear reaction diffusion processes. Zbl 1148.65068
Le Roux, Alain-Yves; Le Roux, Marie-Noelle
2
2008
A quasi fourth order in space explicit scheme for conservation laws. (Un schéma explicite quasi d’ordre quatre en espace pour les lois de conservation.) Zbl 0835.65103
Cargo, Patricia; Le Roux, Alain-Yves
1
1995
Oriented characteristics methods for a class of nonhomogeneous hyperbolic systems. Zbl 1118.65363
LeRoux, Alain Yves
1
2002
Non reflective boundary conditions for a two-dimensional linearized barotropic Saint-Venant model. (Conditions limites non réfléchissantes pour un modèle de Saint-Venant bidimensionnel barotrope linéarisé.) Zbl 0897.76009
Darblade, Gilles; Baraille, Rémy; Le Roux, Alain-Yves; Carton, Xavier; Pinchon, Didier
1
1997
Convergence d’un schema quasi d’ordre deux pour une équation quasi linéaire du premier ordre. Zbl 0436.35004
Le Roux, Alain-Yves
1
1979
Stability of numerical schemes solving quasi-linear wave equations. Zbl 0457.65067
Le Roux, Alain-Yves
1
1981
Numerical solution of a Cauchy problem for nonlinear reaction diffusion processes. Zbl 1148.65068
Le Roux, Alain-Yves; Le Roux, Marie-Noelle
2
2008
Well-balanced schemes versus fractional step method for hyperbolic system with source terms. Zbl 1117.65120
Gallouet, Thierry; Hérad, Jean-Mare; Hurisse, Olivier; Le Roux, Alain-Yves
2
2006
Numerical solution of a nonlinear reaction diffusion equation. Zbl 1127.65320
Le Roux, Alain-Yves; Le Roux, Marie-Noelle
3
2005
Oriented characteristics methods for a class of nonhomogeneous hyperbolic systems. Zbl 1118.65363
LeRoux, Alain Yves
1
2002
Convergence of a stationary profiles scheme for the first order quasilinear equations with source terms. (Convergence d’un schéma à profils stationnaires pour les équations quasi linéaires du premier ordre avec termes sources.) Zbl 0992.65098
Le Roux, Alain Yves; Le Roux, Marie Noëlle
3
2001
Riemann solvers for some hyperbolic problems with a source term. Zbl 0926.76065
Le Roux, Alain-Yves
5
1999
Analysis and approximation of conservation laws with source terms. Zbl 0888.65100
Greenberg, James M.; Le Roux, Alain-Yves; Baraille, Remy; Noussaïr, Ahmed
63
1997
Non reflective boundary conditions for a two-dimensional linearized barotropic Saint-Venant model. (Conditions limites non réfléchissantes pour un modèle de Saint-Venant bidimensionnel barotrope linéarisé.) Zbl 0897.76009
Darblade, Gilles; Baraille, Rémy; Le Roux, Alain-Yves; Carton, Xavier; Pinchon, Didier
1
1997
A well-balanced scheme for the numerical processing of source terms in hyperbolic equations. Zbl 0876.65064
Greenberg, James M.; Le Roux, Alain-Yves
256
1996
A well-balanced scheme designed for inhomogeneous scalar conservation laws. (Un schéma-équilibre adapté aux lois de conservation scalaires non-homogènes.) Zbl 0858.65091
Gosse, Laurent; LeRoux, Alain-Yves
34
1996
A quasi fourth order in space explicit scheme for conservation laws. (Un schéma explicite quasi d’ordre quatre en espace pour les lois de conservation.) Zbl 0835.65103
Cargo, Patricia; Le Roux, Alain-Yves
1
1995
A well balanced scheme for a model of atmosphere with gravity. (Un schéma équilibre adapté au modèle d’atmosphère avec termes de gravité.) Zbl 0805.76063
Cargo, Patricia; Le Roux, Alain-Yves
14
1994
A new version of the two-dimensional Lax-Friedrichs scheme. Zbl 0829.35076
Boukadida, T.; LeRoux, A. Y.
3
1994
Une version à pas fractionnaires du schéma de Godunov pour l’hydrodynamique. (A splitted version of the Godunov scheme for hydrodynamic models). Zbl 0745.76049
Baraille, Rémy; Bourdin, Ghislaine; Dubois, François; Le Roux, Alain-Yves
10
1992
Convergence of numerical schemes involving powers of the Dirac delta function. Zbl 0691.65067
Adamczewski, M.; Colombeau, J. F.; Le Roux, A. Y.
7
1990
Discontinuous generalized solutions of nonlinear nonconservative hyperbolic equations. Zbl 0691.35057
Cauret, J. J.; Colombeau, J. F.; Le Roux, A. Y.
23
1989
Microscopic profiles of shock waves and ambiguities in multiplications of distributions. Zbl 0674.76049
Colombeau, J. F.; Le Roux, A. Y.; Noussair, A.; Perrot, B.
22
1989
Multiplications of distributions in elasticity and hydrodynamics. Zbl 0646.76007
Colombeau, J. F.; Le Roux, A. Y.
59
1988
Preferences and normal goods: A sufficient condition. Zbl 0639.90004
Leroux, Alain
5
1987
Numerical techniques in elastoplasticity. Zbl 0644.73039
Colombeau, J. F.; Le Roux, A. Y.
3
1987
Multiplication de distributions et ondes de choc élastiques ou hydrodynamiques en dimension un. (Multiplication of distributions and shock waves in elasticity and hydrodynamics in one space dimension). Zbl 0631.76072
Colombeau, Jean-François; Le Roux, Alain-Yves; Perrot, Bernard
2
1987
Solutions généralisées discontinues de problèmes hyperboliques non conservatifs. (Discontinuous generalized solutions of nonlinear nonconservative hyperbolic equations). Zbl 0598.35067
Cauret, Jean-Jacques; Colombeau, Jean-François; Le Roux, Alain-Yves
4
1986
Convergence of an antidiffusion Lagrange-Euler scheme for quasi-linear equations. Zbl 0565.65053
Le Roux, Alain-Yves; Quesseveur, P.
6
1984
Other determinental conditions for concavity and quasi-concavity. Zbl 0557.90078
Leroux, Alain
2
1984
Convergence of an accurate scheme for first order quasi linear equations. Zbl 0474.65073
Le Roux, Alain-Yves
7
1981
Numerical stability for some equations of gas dynamics. Zbl 0537.76042
Le Roux, Alain-Yves
6
1981
Stability of numerical schemes solving quasi-linear wave equations. Zbl 0457.65067
Le Roux, Alain-Yves
1
1981
First order quasilinear equations with boundary conditions. Zbl 0418.35024
Bardos, C.; Le Roux, Alain-Yves; Nedelec, J. C.
264
1979
Convergence d’un schema quasi d’ordre deux pour une équation quasi linéaire du premier ordre. Zbl 0436.35004
Le Roux, Alain-Yves
1
1979
A numerical conception of entropy for quasi-linear equations. Zbl 0378.65053
Le Roux, Alain-Yves
15
1977
Étude du problème mixte pour une équation quasi-linéaire du premier ordre. Zbl 0366.35019
Le Roux, Alain-Yves
14
1977
On the convergence of the Godounov’s scheme for first order quasi linear equations. Zbl 0372.35015
Le Roux, Alain Yves
3
1976
all top 5

Cited by 799 Authors

22 Sarrico, Carlos Orlando R.
19 Berthon, Christophe
17 Hérard, Jean-Marc
16 Andreianov, Boris
16 Coclite, Giuseppe Maria
16 Li, Gang
13 Karlsen, Kenneth Hvistendahl
13 Mai Duc Thanh
13 Parés Madroñal, Carlos
11 Gosse, Laurent
11 Leroux, Alain-Yves
10 Castro, Manuel J.
10 Gowda, G. D. Veerappa
10 LeFloch, Philippe Gerard
10 Seguin, Nicolas
9 Colombeau, Jean-François
9 Coquel, Frédéric
9 Xing, Yulong
8 Chalons, Christophe
8 Fernández-Nieto, Enrique Domingo
8 Garavello, Mauro
8 Guermond, Jean-Luc
8 Qian, Shouguo
7 Bürger, Raimund
7 Colombo, Rinaldo M.
7 Donadello, Carlotta
7 Dumbser, Michael
7 Foucher, Françoise
7 Joseph, Kayyunnapara Thomas
7 Mishra, Siddhartha
7 Murillo, Javier
7 Popov, Boyan
7 Risebro, Nils Henrik
7 Rosini, Massimiliano Daniele
7 Shu, Chi-Wang
7 Vovelle, Julien
6 Clain, Stéphane Louis
6 Gao, Jinmei
6 Goatin, Paola
6 Hurisse, Olivier
6 Rossi, Elena
6 Zhan, Huashui
5 Adimurthi, A.
5 Bourdarias, Christian
5 Cancès, Clément
5 Castro-Díaz, Manuel Jesús
5 Cuong, Dao Huy
5 Daude, Frédéric
5 Delestre, Olivier
5 Donat, Rosa
5 Duran, Arnaud
5 Gallardo, José M.
5 Gallouët, Thierry
5 Galon, Pascal
5 Gerbi, Stéphane
5 Godlewski, Edwige
5 Jin, Shi
5 Kröner, Dietmar
5 Lévi, Laurent
5 Liang, Qiuhua
5 Marche, Fabien
5 Marconi, Elio
5 Natalini, Roberto
5 Navas-Montilla, A.
5 Oberguggenberger, Michael B.
5 Piccoli, Benedetto
5 Terracina, Andrea
5 Vila, Jean-Paul
4 Ammar, Kaouther
4 Berthelin, Florent
4 Bouchut, François
4 Després, Bruno
4 Di Ruvo, Lorenzo
4 Frid, Hermano
4 Garcia-Navarro, Pilar
4 Helluy, Philippe
4 Iampietro, David
4 Keimer, Alexander
4 Kesserwani, Georges
4 Klar, Axel
4 Kobayasi, Kazuo
4 Li, Jiaojiao
4 Martin, Sébastien
4 Martinez-Gavara, Anna
4 Morales de Luna, Tomás
4 Ohlberger, Mario
4 Rochette, David
4 Touma, Rony
4 Turpault, Rodolphe
4 Vasseur, Alexis F.
4 Wittbold, Petra
3 Abreu, Eduardo
3 Ancona, Fabio
3 Audusse, Emmanuel
3 Benkhaldoun, Fayssal
3 Biagioni, Hebe A.
3 Bianchini, Stefano
3 Buet, Christophe
3 Cheng, Hongjun
3 Cockburn, Bernardo
...and 699 more Authors
all top 5

Cited in 174 Serials

63 Journal of Computational Physics
32 Computers and Fluids
28 Journal of Differential Equations
25 Journal of Scientific Computing
24 Mathematics of Computation
20 Journal of Mathematical Analysis and Applications
18 Journal of Computational and Applied Mathematics
18 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
17 Applied Mathematics and Computation
16 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
13 Journal of Hyperbolic Differential Equations
13 Networks and Heterogeneous Media
12 Archive for Rational Mechanics and Analysis
12 Computers & Mathematics with Applications
11 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 Computer Methods in Applied Mechanics and Engineering
9 International Journal for Numerical Methods in Fluids
9 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
8 Journal of Mathematical Physics
8 Applied Numerical Mathematics
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 International Journal on Finite Volumes
6 Numerische Mathematik
6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6 Applied Mathematics Letters
6 Communications in Partial Differential Equations
6 SIAM Journal on Mathematical Analysis
6 SIAM Journal on Scientific Computing
5 Mathematical Methods in the Applied Sciences
5 SIAM Journal on Control and Optimization
5 Advances in Applied Mathematics and Mechanics
4 Applicable Analysis
4 Journal of Economic Theory
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 SIAM Journal on Numerical Analysis
4 Acta Applicandae Mathematicae
4 RAIRO. Modélisation Mathématique et Analyse Numérique
4 Advances in Computational Mathematics
4 Discrete and Continuous Dynamical Systems. Series S
4 Nonlinear Analysis. Theory, Methods & Applications
3 Communications in Mathematical Physics
3 Nonlinearity
3 Journal of Functional Analysis
3 Transactions of the American Mathematical Society
3 Chinese Annals of Mathematics. Series B
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Russian Journal of Mathematical Physics
3 Journal of Mathematical Sciences (New York)
3 NoDEA. Nonlinear Differential Equations and Applications
3 Discrete and Continuous Dynamical Systems
3 European Journal of Mechanics. B. Fluids
3 Computational Geosciences
3 Journal of Nonlinear Mathematical Physics
3 Multiscale Modeling & Simulation
3 Acta Numerica
3 Communications in Computational Physics
2 Indian Journal of Pure & Applied Mathematics
2 Journal of Statistical Physics
2 Theoretical and Mathematical Physics
2 Acta Mathematica Vietnamica
2 Calcolo
2 Duke Mathematical Journal
2 Proceedings of the American Mathematical Society
2 Quarterly of Applied Mathematics
2 Results in Mathematics
2 Advances in Applied Mathematics
2 Zeitschrift für Analysis und ihre Anwendungen
2 Numerical Methods for Partial Differential Equations
2 Mathematical and Computer Modelling
2 International Journal of Mathematics
2 Applied Mathematical Modelling
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 SIAM Journal on Applied Mathematics
2 Journal of Dynamics and Differential Equations
2 Computational and Applied Mathematics
2 Journal of Applied Analysis
2 International Journal of Computational Fluid Dynamics
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
2 Taiwanese Journal of Mathematics
2 Discrete Dynamics in Nature and Society
2 Communications in Nonlinear Science and Numerical Simulation
2 Journal of Evolution Equations
2 Archives of Computational Methods in Engineering
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Central European Journal of Mathematics
2 Mathematical Biosciences and Engineering
2 Boundary Value Problems
2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 Analysis Mathematica
1 Classical and Quantum Gravity
1 Communications on Pure and Applied Mathematics
1 Israel Journal of Mathematics
1 Journal of Engineering Mathematics
1 Mathematical Notes
1 Transport Theory and Statistical Physics
1 Theoretical and Computational Fluid Dynamics
1 Shock Waves
1 Annales de l’Institut Fourier
...and 74 more Serials

Citations by Year