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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, A. Y.
Documents Indexed: 56 Publications since 1976
Co-Authors: 24 Co-Authors with 30 Joint Publications
307 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

34 Publications have been cited 572 times in 453 Documents Cited by Year
A well-balanced scheme for the numerical processing of source terms in hyperbolic equations. Zbl 0876.65064
Greenberg, James M.; Le Roux, Alain-Yves
307
1996
First order quasilinear equations with boundary conditions. Zbl 0418.35024
Bardos, C.; Le Roux, Alain-Yves; Nedelec, J. C.
294
1979
Analysis and approximation of conservation laws with source terms. Zbl 0888.65100
Greenberg, James M.; Le Roux, Alain-Yves; Baraille, Remy; Noussaïr, Ahmed
71
1997
Multiplications of distributions in elasticity and hydrodynamics. Zbl 0646.76007
Colombeau, J. F.; Le Roux, A. Y.
66
1988
A well-balanced numerical scheme for the approximation of the shallow-water equations with topography: the resonance phenomena. Zbl 1490.65167
Chinnayya, Ashwin; LeRoux, Alain-Yves; Seguin, Nicolas
44
2004
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
35
1996
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
29
1994
Discontinuous generalized solutions of nonlinear nonconservative hyperbolic equations. Zbl 0691.35057
Cauret, J. J.; Colombeau, J. F.; Le Roux, A. Y.
29
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.
23
1989
Étude du problème mixte pour une équation quasi-linéaire du premier ordre. Zbl 0366.35019
Le Roux, Alain-Yves
16
1977
A numerical conception of entropy for quasi-linear equations. Zbl 0378.65053
Le Roux, Alain-Yves
16
1977
Riemann solvers for some hyperbolic problems with a source term. Zbl 0926.76065
Le Roux, Alain-Yves
13
1999
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
12
1992
Convergence of an accurate scheme for first order quasi linear equations. Zbl 0474.65073
Le Roux, Alain-Yves
8
1981
Numerical stability for some equations of gas dynamics. Zbl 0537.76042
Le Roux, Alain-Yves
8
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
Preferences and normal goods: A sufficient condition. Zbl 0639.90004
Leroux, Alain
5
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
On the convergence of the Godounov’s scheme for first order quasi linear equations. Zbl 0372.35015
Le Roux, Alain Yves
4
1976
Numerical techniques in elastoplasticity. Zbl 0644.73039
Colombeau, J. F.; Le Roux, A. Y.
4
1987
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
4
2001
Numerical solution of a nonlinear reaction diffusion equation. Zbl 1127.65320
Le Roux, Alain-Yves; Le Roux, Marie-Noelle
3
2005
A new version of the two-dimensional Lax-Friedrichs scheme. Zbl 0829.35076
Boukadida, T.; LeRoux, A. Y.
3
1994
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
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
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 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 two-dimensional Lagrange-Euler technique for gas dynamics. Zbl 0608.76063
Le Gruyer, Erwan; Yves Le Roux, Alain
1
1985
Oriented characteristics methods for a class of nonhomogeneous hyperbolic systems. Zbl 1118.65363
LeRoux, Alain Yves
1
2002
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
A well-balanced numerical scheme for the approximation of the shallow-water equations with topography: the resonance phenomena. Zbl 1490.65167
Chinnayya, Ashwin; LeRoux, Alain-Yves; Seguin, Nicolas
44
2004
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
4
2001
Riemann solvers for some hyperbolic problems with a source term. Zbl 0926.76065
Le Roux, Alain-Yves
13
1999
Analysis and approximation of conservation laws with source terms. Zbl 0888.65100
Greenberg, James M.; Le Roux, Alain-Yves; Baraille, Remy; Noussaïr, Ahmed
71
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
307
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
35
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
29
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
12
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.
29
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.
23
1989
Multiplications of distributions in elasticity and hydrodynamics. Zbl 0646.76007
Colombeau, J. F.; Le Roux, A. Y.
66
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.
4
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
A two-dimensional Lagrange-Euler technique for gas dynamics. Zbl 0608.76063
Le Gruyer, Erwan; Yves Le Roux, Alain
1
1985
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
8
1981
Numerical stability for some equations of gas dynamics. Zbl 0537.76042
Le Roux, Alain-Yves
8
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.
294
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
Étude du problème mixte pour une équation quasi-linéaire du premier ordre. Zbl 0366.35019
Le Roux, Alain-Yves
16
1977
A numerical conception of entropy for quasi-linear equations. Zbl 0378.65053
Le Roux, Alain-Yves
16
1977
On the convergence of the Godounov’s scheme for first order quasi linear equations. Zbl 0372.35015
Le Roux, Alain Yves
4
1976
all top 5

Cited by 581 Authors

24 Sarrico, Carlos Orlando R.
21 Berthon, Christophe
18 Li, Gang
16 Hérard, Jean-Marc
16 Mai Duc Thanh
14 Parés Madroñal, Carlos
12 Castro, Manuel J.
11 Gosse, Laurent
10 Dumbser, Michael
10 Qian, Shouguo
10 Xing, Yulong
9 Chalons, Christophe
9 Colombeau, Jean-François
8 Coquel, Frédéric
8 Fernández-Nieto, Enrique Domingo
8 Foucher, Françoise
8 Murillo, Javier
8 Seguin, Nicolas
7 Cuong, Dao Huy
7 Navas-Montilla, Adrián
7 Shu, Chi-Wang
6 Clain, Stéphane Louis
6 Daude, Frédéric
6 Gao, Jinmei
6 Garcia-Navarro, Pilar
6 Godlewski, Edwige
6 Mishra, Siddhartha
6 Vázquez-Cendón, María Elena
5 Bourdarias, Christian
5 Castro-Díaz, Manuel Jesús
5 Črnjarić-Žic, Nelida
5 Delestre, Olivier
5 Després, Bruno
5 Donat, Rosa
5 Duran, Arnaud
5 Gallardo, José M.
5 Galon, Pascal
5 Gerbi, Stéphane
5 Käppeli, Roger
5 LeFloch, Philippe Gerard
5 Liang, Qiuhua
5 Marche, Fabien
5 Morales de Luna, Tomás
5 Sopta, Luka
4 Abreu, Eduardo
4 Berberich, Jonas P.
4 Bermúdez, Alfredo
4 Buet, Christophe
4 Chandrashekar, Praveen
4 Gallouët, Thierry
4 Guermond, Jean-Luc
4 Hurisse, Olivier
4 Iampietro, David
4 Jin, Shi
4 Karlsen, Kenneth Hvistendahl
4 Kesserwani, Georges
4 Klingenberg, Christian
4 Kröner, Dietmar
4 Kurganov, Alexander
4 Leroux, Alain-Yves
4 Li, Jiaojiao
4 López, Xián
4 Martinez-Gavara, Anna
4 Michel-Dansac, Victor
4 Noelle, Sebastian
4 Oberguggenberger, Michael B.
4 Popov, Boyan
4 Thanh, Nguyen Xuan
4 Toro, Eleuterio Francisco
4 Touma, Rony
4 Turpault, Rodolphe
4 Vuković, Senka
3 Benkhaldoun, Fayssal
3 Biagioni, Hebe A.
3 Bouchut, François
3 Cheng, Hongjun
3 Cordier, Stéphane
3 Franck, Emmanuel
3 Fullana, Jose-Maria
3 George, David L.
3 Ghigo, Arthur R.
3 Goutal, Nicole
3 Gowda, G. D. Veerappa
3 Helluy, Philippe
3 Joseph, Kayyunnapara Divya
3 Jung, Jonathan
3 Klein, Rupert
3 Lagrée, Pierre-Yves
3 Lambert, Wanderson J.
3 Le, Minh Hoang
3 LeVeque, Randall J.
3 Muñoz-Ruiz, María Luz
3 Niu, Qiang
3 Nkonga, Boniface
3 Perthame, Benoît
3 Raviart, Pierre-Arnaud
3 Risebro, Nils Henrik
3 Rochette, David
3 Saleh, Khaled
3 Shao, Fengjing
...and 481 more Authors
all top 5

Cited in 115 Serials

76 Journal of Computational Physics
37 Computers and Fluids
25 Journal of Scientific Computing
19 Applied Mathematics and Computation
14 Mathematics of Computation
14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
13 Journal of Computational and Applied Mathematics
11 Journal of Mathematical Analysis and Applications
9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
8 International Journal for Numerical Methods in Fluids
8 Journal of Mathematical Physics
8 Applied Numerical Mathematics
7 Computers & Mathematics with Applications
7 Computer Methods in Applied Mechanics and Engineering
7 SIAM Journal on Scientific Computing
7 International Journal on Finite Volumes
6 Journal of Differential Equations
6 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Advances in Computational Mathematics
5 Communications in Computational Physics
5 Advances in Applied Mathematics and Mechanics
4 Journal of Economic Theory
4 SIAM Journal on Numerical Analysis
4 Communications in Nonlinear Science and Numerical Simulation
3 Applicable Analysis
3 Mathematical Methods in the Applied Sciences
3 Numerische Mathematik
3 Applied Mathematical Modelling
3 Journal of Dynamics and Differential Equations
3 Russian Journal of Mathematical Physics
3 Journal of Nonlinear Mathematical Physics
3 Journal of Hyperbolic Differential Equations
3 Networks and Heterogeneous Media
2 Computer Physics Communications
2 Theoretical and Mathematical Physics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Calcolo
2 Results in Mathematics
2 Zeitschrift für Analysis und ihre Anwendungen
2 Chinese Annals of Mathematics. Series B
2 Acta Applicandae Mathematicae
2 Numerical Methods for Partial Differential Equations
2 International Journal of Mathematics
2 Communications in Partial Differential Equations
2 Computational and Applied Mathematics
2 International Journal of Computational Fluid Dynamics
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
2 Taiwanese Journal of Mathematics
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Multiscale Modeling & Simulation
2 Acta Numerica
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 Archive for Rational Mechanics and Analysis
1 Classical and Quantum Gravity
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Engineering Mathematics
1 Mathematical Notes
1 Physica A
1 Theoretical and Computational Fluid Dynamics
1 Chaos, Solitons and Fractals
1 Shock Waves
1 Acta Mathematica Vietnamica
1 Computing
1 International Journal for Numerical Methods in Engineering
1 Mathematics and Computers in Simulation
1 Monatshefte für Mathematik
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Pacific Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Quarterly of Applied Mathematics
1 Bulletin of the Iranian Mathematical Society
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Physica D
1 Journal of Economics
1 Applied Mathematics Letters
1 Economics Letters
1 European Journal of Operational Research
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 Indagationes Mathematicae. New Series
1 Journal of Nonlinear Science
1 Continuum Mechanics and Thermodynamics
1 Journal of Mathematical Sciences (New York)
1 Integral Transforms and Special Functions
1 Mathematical Problems in Engineering
1 Journal of Applied Analysis
1 Mathematics and Mechanics of Solids
1 Computing and Visualization in Science
1 Differential Equations and Dynamical Systems
1 Abstract and Applied Analysis
1 Chaos
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 European Journal of Mechanics. B. Fluids
1 International Journal of Applied Mathematics and Computer Science
1 Computational Geosciences
1 International Journal of Modern Physics C
1 Nonlinear Analysis. Real World Applications
...and 15 more Serials

Citations by Year