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## Achdou, Yves

Compute Distance To:
 Author ID: achdou.yves Published as: Achdou, Y.; Achdou, Yves
 Documents Indexed: 97 Publications since 1991, including 1 Book
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#### Co-Authors

 11 single-authored 24 Tchou, Nicoletta Anna 22 Pironneau, Olivier 9 Nataf, Frédéric 6 Capuzzo Dolcetta, Italo 6 Kuznetsov, Yurii Alekseevich 5 Camilli, Fabio 5 Laurière, Mathieu 5 Valentin, Frédéric 4 Maday, Yvon 4 Sabot, Christophe 3 Deheuvels, Thibaut 3 Lasry, Jean-Michel 3 Lions, Pierre-Louis 3 Oudet, Salomé 3 Prud’homme, Christophe 2 Abdoulaev, Gassan S. 2 Bernardi, Christine 2 Dao, Manh-Khang 2 Franchi, Bruno 2 Hontand, Jean-Claude 2 Japhet, Caroline 2 Le Tallec, Patrick 2 Ley, Olivier 2 Mohammadi, Bijan 2 Porretta, Alessio 2 Widlund, Olof B. 1 Abdoulaev, Gassav S. 1 Bardi, Martino 1 Buera, Francisco J. 1 Cirant, Marco 1 Coquel, Frédéric 1 Corrias, Lucilla 1 Cutrì, Alessandra 1 Falcone, Maurizio 1 Giraud, Pierre-Noel 1 Glowinski, Roland 1 Guermond, Jean-Luc 1 Hecht, Frédéric 1 Indragoby, Govindaraj 1 Mannucci, Paola 1 Marcello, Norina 1 Marchi, Claudio 1 Moll, Benjamin 1 Patrizi, Stefania 1 Pérez, Víctor E. 1 Pommier, David 1 Tesi, Maria Carla 1 Vidrascu, Marina
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#### Serials

 7 SIAM Journal on Numerical Analysis 6 Comptes Rendus de l’Académie des Sciences. Série I 5 Numerische Mathematik 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Computer Methods in Applied Mechanics and Engineering 3 Applied Mathematics and Optimization 3 SIAM Journal on Control and Optimization 3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Journal of Computational Physics 2 Numerical Linear Algebra with Applications 2 NoDEA. Nonlinear Differential Equations and Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Multiscale Modeling & Simulation 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Networks and Heterogeneous Media 1 Communications on Pure and Applied Mathematics 1 IMA Journal of Numerical Analysis 1 Journal of Mathematical Biology 1 Mathematics of Computation 1 Optimal Control Applications & Methods 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Asymptotic Analysis 1 Journal of Scientific Computing 1 Communications in Partial Differential Equations 1 SIAM Journal on Mathematical Analysis 1 Potential Analysis 1 Calculus of Variations and Partial Differential Equations 1 East-West Journal of Numerical Mathematics 1 Methods and Applications of Analysis 1 Applied Mathematical Finance 1 Discrete and Continuous Dynamical Systems 1 RIMS Kokyuroku 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 International Journal of Theoretical and Applied Finance 1 Interfaces and Free Boundaries 1 Discrete and Continuous Dynamical Systems. Series B 1 Frontiers in Applied Mathematics
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#### Fields

 56 Partial differential equations (35-XX) 52 Numerical analysis (65-XX) 29 Calculus of variations and optimal control; optimization (49-XX) 26 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Fluid mechanics (76-XX) 8 Measure and integration (28-XX) 5 Functional analysis (46-XX) 5 Probability theory and stochastic processes (60-XX) 2 Ordinary differential equations (34-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 2 Systems theory; control (93-XX) 1 Topological groups, Lie groups (22-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH

80 Publications have been cited 995 times in 684 Documents Cited by Year
Computational methods for option pricing. Zbl 1078.91008
Achdou, Yves; Pironneau, Olivier
2005
Effective boundary conditions for laminar flows over periodic rough boundaries. Zbl 0917.76013
Achdou, Yves; Pironneau, O.; Valentin, F.
1998
Mean field games: numerical methods. Zbl 1217.91019
Achdou, Yves; Capuzzo-Dolcetta, Italo
2010
Convergence analysis of a finite element projection/Lagrange–Galerkin method for the incompressible Navier-Stokes equations. Zbl 0966.76041
Achdou, Y.; Guermond, J.-L.
2000
A priori and a posteriori analysis of finite volume discretizations of Darcy’s equations. Zbl 1050.76035
Achdou, Y.; Bernardi, C.; Coquel, F.
2003
Mean field games: numerical methods for the planning problem. Zbl 1242.91014
Achdou, Yves; Camilli, Fabio; Capuzzo-Dolcetta, Italo
2012
Hamilton-Jacobi equations constrained on networks. Zbl 1268.35120
Achdou, Yves; Camilli, Fabio; Cutrì, Alessandra; Tchou, Nicoletta
2013
Iterative substructuring preconditioners for mortar element methods in two dimensions. Zbl 0931.65110
Achdou, Yves; Maday, Yvon; Widlund, Olof
1998
Partial differential equation models in macroeconomics. Zbl 1353.91027
Achdou, Yves; Buera, Francisco J.; Lasry, Jean-Michel; Lions, Pierre-Louis; Moll, Benjamin
2014
Mean field games: convergence of a finite difference method. Zbl 1286.91022
Achdou, Yves; Camilli, Fabio; Capuzzo-Dolcetta, Italo
2013
A domain decomposition preconditioner for an advection-diffusion problem. Zbl 0979.76043
Achdou, Yves; Le Tallec, Patrick; Nataf, Frédéric; Vidrascu, Marina
2000
Convergence of a finite difference scheme to weak solutions of the system of partial differential equations arising in mean field games. Zbl 1382.65273
Achdou, Yves; Porretta, Alessio
2016
Finite difference methods for mean field games. Zbl 1271.65120
Achdou, Yves
2013
Mean field games models of segregation. Zbl 1355.91003
Achdou, Yves; Bardi, Martino; Cirant, Marco
2017
Constructing wall laws with domain decomposition or asymptotic expansion techniques. Zbl 0920.76063
Achdou, Y.; Le Tallec, P.; Valentin, F.; Pironneau, O.
1998
Domain decomposition and wall laws. Zbl 0834.76014
Achdou, Yves; Pironneau, Olivier
1995
A fast solver for Navier-Stokes equations in the laminar regime using mortar finite element and boundary element methods. Zbl 0833.76032
Achdou, Y.; Pironneau, O.
1995
An inverse problem for a parabolic variational inequality arising in volatility calibration with American options. Zbl 1075.35100
Achdou, Yves
2005
Hamilton-Jacobi equations on networks as limits of singularly perturbed problems in optimal control: dimension reduction. Zbl 1320.35023
Achdou, Yves; Tchou, Nicoletta
2015
A new cement to glue non-conforming grids with Robin interface conditions: The finite volume case. Zbl 1019.65086
Achdou, Y.; Japhet, C.; Maday, Y.; Nataf, F.
2002
Substructuring preconditioners for the $$Q_ 1$$ mortar element method. Zbl 0840.65122
Achdou, Y.; Kuznetsov, Yu. A.; Pironneau, O.
1995
Mean field type control with congestion. Zbl 1342.35136
Achdou, Yves; Laurière, Mathieu
2016
Hamilton-Jacobi equations for optimal control on junctions and networks. Zbl 1318.49049
Achdou, Yves; Oudet, Salomé; Tchou, Nicoletta
2015
Iterative strategies for solving linearized discrete mean field games systems. Zbl 1268.91020
Achdou, Yves; Perez, Victor
2012
Trace results on domains with self-similar fractal boundaries. Zbl 1154.28002
Achdou, Yves; Tchou, Nicoletta
2008
Variational analysis for the Black and Scholes equation with stochastic volatility. Zbl 1137.91421
Achdou, Yves; Tchou, Nicoletta
2002
Low frequency tangential filtering decomposition. Zbl 1199.65087
Achdou, Y.; Nataf, F.
2007
Neumann conditions on fractal boundaries. Zbl 1148.35017
Achdou, Yves; Tchou, Nicoletta
2007
Diffusion and propagation problems in some ramified domains with a fractal boundary. Zbl 1112.65115
Achdou, Yves; Sabot, Christophe; Tchou, Nicoletta
2006
A Robin-Robin preconditioner for an advection-diffusion problem. Zbl 0893.65061
Achdou, Yves; Nataf, Frédéric
1997
On the system of partial differential equations arising in mean field type control. Zbl 1350.49017
Achdou, Yves; Laurière, Mathieu
2015
Homogenization of Hamilton-Jacobi equations: Numerical methods. Zbl 1155.65072
Achdou, Yves; Camilli, Fabio; Dolcetta, Italo Capuzzo
2008
Transparent boundary conditions for the Helmholtz equation in some ramified domains with a fractal boundary. Zbl 1109.65096
Achdou, Yves; Sabot, Christophe; Tchou, Nicoletta
2007
Adaptive finite volume or finite element discretization of Darcy’s equations with variable permeability. Zbl 0996.65123
Achdou, Yves; Bernardi, Christine
2001
Optimization of a photocell. Zbl 0764.49021
Achdou, Y.; Pironneau, O.
1991
Mean field games with congestion. Zbl 06840965
Achdou, Yves; Porretta, Alessio
2018
A qualitative model for aggregation and diffusion of $$\beta$$-amyloid in Alzheimer’s disease. Zbl 1283.35148
Achdou, Yves; Franchi, Bruno; Marcello, Norina; Tesi, Maria Carla
2013
An iterated tangential filtering decomposition. Zbl 1071.65035
Achdou, Y.; Nataf, F.
2003
Trace theorems for a class of ramified domains with self-similar fractal boundaries. Zbl 1218.46017
Achdou, Yves; Tchou, Nicoletta
2010
The mortar element method with overlapping subdomains. Zbl 1020.65086
Achdou, Yves
2002
Domain decomposition and wall laws. Zbl 0931.76077
Achdou, Y.; Mohammadi, B.; Pironneau, O.; Valentin, F.
1998
Effective transmission conditions for Hamilton-Jacobi equations defined on two domains separated by an oscillatory interface. Zbl 1352.35212
Achdou, Yves; Oudet, Salomé; Tchou, Nicoletta
2016
A transmission problem across a fractal self-similar interface. Zbl 1375.35135
Achdou, Yves; Deheuvels, Thibaut
2016
A posteriori error estimates for parabolic variational inequalities. Zbl 1203.65096
Achdou, Yves; Hecht, Frédéric; Pommier, David
2008
A multiscale numerical method for Poisson problems in some ramified domains with a fractal boundary. Zbl 1149.35023
Achdou, Yves; Sabot, Christophe; Tchou, Nicoletta
2006
Numerical procedure for calibration of volatility with American options. Zbl 1138.91414
Achdou, Yves; Pironneau, Olivier
2005
Shape control versus boundary control. Zbl 0920.35020
Achdou, Yves; Pironneau, Olivier; Valentin, Frédéric
1998
Effet d’un revêtement métallisé mince sur la réflexion d’une onde électromagnétique. (Effect of a thin metallized coating on the reflection of an electromagnetic wave). Zbl 0800.78017
Achdou, Yves
1992
$$JLip$$ versus Sobolev spaces on a class of self-similar fractal foliages. Zbl 1239.46025
Achdou, Yves; Deheuvels, Thibaut; Tchou, Nicoletta
2012
Approximation of solutions of Hamilton-Jacobi equations on the Heisenberg group. Zbl 1153.65083
Achdou, Yves; Capuzzo-Dolcetta, Italo
2008
A partial differential equation connected to option pricing with stochastic volatility: regularity results and discretization. Zbl 1108.35096
Achdou, Yves; Franchi, Bruno; Tchou, Nicoletta
2005
Volatility smile by multilevel least square. Zbl 1107.91319
Achdou, Yves; Pironneau, Olivier
2002
A finite difference scheme on a non commutative group. Zbl 1008.65074
Achdou, Yves; Tchou, Nicoletta
2001
On a parallel implementation of the mortar element method. Zbl 0946.65111
Abdoulaev, Gassav S.; Achdou, Yves; Kuznetsov, Yuri A.; Prud’homme, Christophe
1999
Tuning the mesh of a mixed method for the stream function. Vorticity formulation of the Navier-Stokes equations. Zbl 0760.76041
Achdou, Yves; Glowinski, Roland; Pironneau, Olivier
1992
Mean field type control with congestion. II: An augmented Lagrangian method. Zbl 1360.65172
Achdou, Yves; Laurière, Mathieu
2016
Boundary value problems in ramified domains with fractal boundaries. Zbl 1139.65320
Achdou, Yves; Tchou, Nicoletta
2008
Nonmatching grids for fluids. Zbl 0919.76045
Achdou, Yves; Abdoulaev, Gassan; Hontand, Jean-Claude; Kuznetsov, Yuri A.; Pironneau, Olivier; Prud’homme, Christophe
1998
Preconditioners for the mortar method based on local approximations of the Steklov-Poincaré operator. Zbl 0838.76036
Achdou, Yves; Nataf, Frédéric
1995
Substructuring preconditioners for finite element methods on nonmatching grids. Zbl 0831.65115
Achdou, Y.; Kuznetsov, Yu. A.
1995
The $$\chi$$-method for the Navier-Stokes equations. Zbl 0780.76017
Achdou, Yves; Pironneau, Olivier
1993
Deterministic mean field games with control on the acceleration. Zbl 1442.35463
Achdou, Yves; Mannucci, Paola; Marchi, Claudio; Tchou, Nicoletta
2020
A class of infinite horizon mean field games on networks. Zbl 1423.35372
Achdou, Yves; Dao, Manh-Khang; Ley, Olivier; Tchou, Nicoletta
2019
Mean field games for modeling crowd motion. Zbl 1416.35020
Achdou, Yves; Lasry, Jean-Michel
2019
A long-term mathematical model for mining industries. Zbl 1411.91428
Achdou, Yves; Giraud, Pierre-Noel; Lasry, Jean-Michel; Lions, Pierre-Louis
2016
Comparison of different definitions of traces for a class of ramified domains with self-similar fractal boundaries. Zbl 1306.46032
Achdou, Yves; Deheuvels, Thibaut; Tchou, Nicoletta
2014
On numerical approximation of the Hamilton-Jacobi-transport system arising in high frequency approximations. Zbl 1282.65105
Achdou, Yves; Camilli, Fabio; Corrias, Lucilla
2014
A semi-Lagrangian scheme for mean curvature motion with nonlinear Neumann conditions. Zbl 1266.65139
Achdou, Yves; Falcone, Maurizio
2012
Homogenization of first-order equations with $$u/\epsilon$$-periodic Hamiltonian: rate of convergence as $$\epsilon \to 0$$ and numerical methods. Zbl 1232.35014
Achdou, Yves; Patrizi, Stefania
2011
Partial differential equations for option pricing. Zbl 1180.91311
Pironneau, Olivier; Achdou, Yves
2009
Boundary value problems with nonhomogeneous Neumann conditions on a fractal boundary. Zbl 1096.65114
Achdou, Yves; Tchou, Nicoletta
2006
Transparent boundary conditions for a class of boundary value problems in some ramified domains with a fractal boundary. Zbl 1096.65113
Achdou, Yves; Sabot, Christophe; Tchou, Nicoletta
2006
Iterative substructuring methods for the mortar elements. Zbl 0836.65118
Achdou, Yves; Maday, Yvon; Widlund, Olof
1996
The mortar element method for convection diffusion problems. Zbl 0835.65127
Achdou, Yves
1995
Coupling mortar finite element and boundary element methods for 2D Navier-Stokes equations. Zbl 0813.76037
Achdou, Y.; Pironneau, O.
1994
Integral equations for the generalized Stokes operator. Zbl 0754.76057
Achdou, Yves; Pironneau, Olivier
1992
Volatility calibration with American options. Zbl 1177.91121
Achdou, Yves; Indragoby, Govindaraj; Pironneau, Olivier
2004
A new cement to glue non-conforming grids with Robin interface conditions. Zbl 1052.65562
Achdou, Yves; Japhet, Caroline; Nataf, Frédéric; Maday, Yvon
1999
A mortar element method for an approximate Navier-Stokes solver. Zbl 0871.76037
Achdou, Y.; Kuznetsov, Y.; Pironneau, O.
1996
The $$\chi$$-method for the Navier-Stokes equations. Zbl 0736.76012
Achdou, Yves; Pironneau, Olivier
1991
Deterministic mean field games with control on the acceleration. Zbl 1442.35463
Achdou, Yves; Mannucci, Paola; Marchi, Claudio; Tchou, Nicoletta
2020
A class of infinite horizon mean field games on networks. Zbl 1423.35372
Achdou, Yves; Dao, Manh-Khang; Ley, Olivier; Tchou, Nicoletta
2019
Mean field games for modeling crowd motion. Zbl 1416.35020
Achdou, Yves; Lasry, Jean-Michel
2019
Mean field games with congestion. Zbl 06840965
Achdou, Yves; Porretta, Alessio
2018
Mean field games models of segregation. Zbl 1355.91003
Achdou, Yves; Bardi, Martino; Cirant, Marco
2017
Convergence of a finite difference scheme to weak solutions of the system of partial differential equations arising in mean field games. Zbl 1382.65273
Achdou, Yves; Porretta, Alessio
2016
Mean field type control with congestion. Zbl 1342.35136
Achdou, Yves; Laurière, Mathieu
2016
Effective transmission conditions for Hamilton-Jacobi equations defined on two domains separated by an oscillatory interface. Zbl 1352.35212
Achdou, Yves; Oudet, Salomé; Tchou, Nicoletta
2016
A transmission problem across a fractal self-similar interface. Zbl 1375.35135
Achdou, Yves; Deheuvels, Thibaut
2016
Mean field type control with congestion. II: An augmented Lagrangian method. Zbl 1360.65172
Achdou, Yves; Laurière, Mathieu
2016
A long-term mathematical model for mining industries. Zbl 1411.91428
Achdou, Yves; Giraud, Pierre-Noel; Lasry, Jean-Michel; Lions, Pierre-Louis
2016
Hamilton-Jacobi equations on networks as limits of singularly perturbed problems in optimal control: dimension reduction. Zbl 1320.35023
Achdou, Yves; Tchou, Nicoletta
2015
Hamilton-Jacobi equations for optimal control on junctions and networks. Zbl 1318.49049
Achdou, Yves; Oudet, Salomé; Tchou, Nicoletta
2015
On the system of partial differential equations arising in mean field type control. Zbl 1350.49017
Achdou, Yves; Laurière, Mathieu
2015
Partial differential equation models in macroeconomics. Zbl 1353.91027
Achdou, Yves; Buera, Francisco J.; Lasry, Jean-Michel; Lions, Pierre-Louis; Moll, Benjamin
2014
Comparison of different definitions of traces for a class of ramified domains with self-similar fractal boundaries. Zbl 1306.46032
Achdou, Yves; Deheuvels, Thibaut; Tchou, Nicoletta
2014
On numerical approximation of the Hamilton-Jacobi-transport system arising in high frequency approximations. Zbl 1282.65105
Achdou, Yves; Camilli, Fabio; Corrias, Lucilla
2014
Hamilton-Jacobi equations constrained on networks. Zbl 1268.35120
Achdou, Yves; Camilli, Fabio; Cutrì, Alessandra; Tchou, Nicoletta
2013
Mean field games: convergence of a finite difference method. Zbl 1286.91022
Achdou, Yves; Camilli, Fabio; Capuzzo-Dolcetta, Italo
2013
Finite difference methods for mean field games. Zbl 1271.65120
Achdou, Yves
2013
A qualitative model for aggregation and diffusion of $$\beta$$-amyloid in Alzheimer’s disease. Zbl 1283.35148
Achdou, Yves; Franchi, Bruno; Marcello, Norina; Tesi, Maria Carla
2013
Mean field games: numerical methods for the planning problem. Zbl 1242.91014
Achdou, Yves; Camilli, Fabio; Capuzzo-Dolcetta, Italo
2012
Iterative strategies for solving linearized discrete mean field games systems. Zbl 1268.91020
Achdou, Yves; Perez, Victor
2012
$$JLip$$ versus Sobolev spaces on a class of self-similar fractal foliages. Zbl 1239.46025
Achdou, Yves; Deheuvels, Thibaut; Tchou, Nicoletta
2012
A semi-Lagrangian scheme for mean curvature motion with nonlinear Neumann conditions. Zbl 1266.65139
Achdou, Yves; Falcone, Maurizio
2012
Homogenization of first-order equations with $$u/\epsilon$$-periodic Hamiltonian: rate of convergence as $$\epsilon \to 0$$ and numerical methods. Zbl 1232.35014
Achdou, Yves; Patrizi, Stefania
2011
Mean field games: numerical methods. Zbl 1217.91019
Achdou, Yves; Capuzzo-Dolcetta, Italo
2010
Trace theorems for a class of ramified domains with self-similar fractal boundaries. Zbl 1218.46017
Achdou, Yves; Tchou, Nicoletta
2010
Partial differential equations for option pricing. Zbl 1180.91311
Pironneau, Olivier; Achdou, Yves
2009
Trace results on domains with self-similar fractal boundaries. Zbl 1154.28002
Achdou, Yves; Tchou, Nicoletta
2008
Homogenization of Hamilton-Jacobi equations: Numerical methods. Zbl 1155.65072
Achdou, Yves; Camilli, Fabio; Dolcetta, Italo Capuzzo
2008
A posteriori error estimates for parabolic variational inequalities. Zbl 1203.65096
Achdou, Yves; Hecht, Frédéric; Pommier, David
2008
Approximation of solutions of Hamilton-Jacobi equations on the Heisenberg group. Zbl 1153.65083
Achdou, Yves; Capuzzo-Dolcetta, Italo
2008
Boundary value problems in ramified domains with fractal boundaries. Zbl 1139.65320
Achdou, Yves; Tchou, Nicoletta
2008
Low frequency tangential filtering decomposition. Zbl 1199.65087
Achdou, Y.; Nataf, F.
2007
Neumann conditions on fractal boundaries. Zbl 1148.35017
Achdou, Yves; Tchou, Nicoletta
2007
Transparent boundary conditions for the Helmholtz equation in some ramified domains with a fractal boundary. Zbl 1109.65096
Achdou, Yves; Sabot, Christophe; Tchou, Nicoletta
2007
Diffusion and propagation problems in some ramified domains with a fractal boundary. Zbl 1112.65115
Achdou, Yves; Sabot, Christophe; Tchou, Nicoletta
2006
A multiscale numerical method for Poisson problems in some ramified domains with a fractal boundary. Zbl 1149.35023
Achdou, Yves; Sabot, Christophe; Tchou, Nicoletta
2006
Boundary value problems with nonhomogeneous Neumann conditions on a fractal boundary. Zbl 1096.65114
Achdou, Yves; Tchou, Nicoletta
2006
Transparent boundary conditions for a class of boundary value problems in some ramified domains with a fractal boundary. Zbl 1096.65113
Achdou, Yves; Sabot, Christophe; Tchou, Nicoletta
2006
Computational methods for option pricing. Zbl 1078.91008
Achdou, Yves; Pironneau, Olivier
2005
An inverse problem for a parabolic variational inequality arising in volatility calibration with American options. Zbl 1075.35100
Achdou, Yves
2005
Numerical procedure for calibration of volatility with American options. Zbl 1138.91414
Achdou, Yves; Pironneau, Olivier
2005
A partial differential equation connected to option pricing with stochastic volatility: regularity results and discretization. Zbl 1108.35096
Achdou, Yves; Franchi, Bruno; Tchou, Nicoletta
2005
Volatility calibration with American options. Zbl 1177.91121
Achdou, Yves; Indragoby, Govindaraj; Pironneau, Olivier
2004
A priori and a posteriori analysis of finite volume discretizations of Darcy’s equations. Zbl 1050.76035
Achdou, Y.; Bernardi, C.; Coquel, F.
2003
An iterated tangential filtering decomposition. Zbl 1071.65035
Achdou, Y.; Nataf, F.
2003
A new cement to glue non-conforming grids with Robin interface conditions: The finite volume case. Zbl 1019.65086
Achdou, Y.; Japhet, C.; Maday, Y.; Nataf, F.
2002
Variational analysis for the Black and Scholes equation with stochastic volatility. Zbl 1137.91421
Achdou, Yves; Tchou, Nicoletta
2002
The mortar element method with overlapping subdomains. Zbl 1020.65086
Achdou, Yves
2002
Volatility smile by multilevel least square. Zbl 1107.91319
Achdou, Yves; Pironneau, Olivier
2002
Adaptive finite volume or finite element discretization of Darcy’s equations with variable permeability. Zbl 0996.65123
Achdou, Yves; Bernardi, Christine
2001
A finite difference scheme on a non commutative group. Zbl 1008.65074
Achdou, Yves; Tchou, Nicoletta
2001
Convergence analysis of a finite element projection/Lagrange–Galerkin method for the incompressible Navier-Stokes equations. Zbl 0966.76041
Achdou, Y.; Guermond, J.-L.
2000
A domain decomposition preconditioner for an advection-diffusion problem. Zbl 0979.76043
Achdou, Yves; Le Tallec, Patrick; Nataf, Frédéric; Vidrascu, Marina
2000
On a parallel implementation of the mortar element method. Zbl 0946.65111
Abdoulaev, Gassav S.; Achdou, Yves; Kuznetsov, Yuri A.; Prud’homme, Christophe
1999
A new cement to glue non-conforming grids with Robin interface conditions. Zbl 1052.65562
Achdou, Yves; Japhet, Caroline; Nataf, Frédéric; Maday, Yvon
1999
Effective boundary conditions for laminar flows over periodic rough boundaries. Zbl 0917.76013
Achdou, Yves; Pironneau, O.; Valentin, F.
1998
Iterative substructuring preconditioners for mortar element methods in two dimensions. Zbl 0931.65110
Achdou, Yves; Maday, Yvon; Widlund, Olof
1998
Constructing wall laws with domain decomposition or asymptotic expansion techniques. Zbl 0920.76063
Achdou, Y.; Le Tallec, P.; Valentin, F.; Pironneau, O.
1998
Domain decomposition and wall laws. Zbl 0931.76077
Achdou, Y.; Mohammadi, B.; Pironneau, O.; Valentin, F.
1998
Shape control versus boundary control. Zbl 0920.35020
Achdou, Yves; Pironneau, Olivier; Valentin, Frédéric
1998
Nonmatching grids for fluids. Zbl 0919.76045
Achdou, Yves; Abdoulaev, Gassan; Hontand, Jean-Claude; Kuznetsov, Yuri A.; Pironneau, Olivier; Prud’homme, Christophe
1998
A Robin-Robin preconditioner for an advection-diffusion problem. Zbl 0893.65061
Achdou, Yves; Nataf, Frédéric
1997
Iterative substructuring methods for the mortar elements. Zbl 0836.65118
Achdou, Yves; Maday, Yvon; Widlund, Olof
1996
A mortar element method for an approximate Navier-Stokes solver. Zbl 0871.76037
Achdou, Y.; Kuznetsov, Y.; Pironneau, O.
1996
Domain decomposition and wall laws. Zbl 0834.76014
Achdou, Yves; Pironneau, Olivier
1995
A fast solver for Navier-Stokes equations in the laminar regime using mortar finite element and boundary element methods. Zbl 0833.76032
Achdou, Y.; Pironneau, O.
1995
Substructuring preconditioners for the $$Q_ 1$$ mortar element method. Zbl 0840.65122
Achdou, Y.; Kuznetsov, Yu. A.; Pironneau, O.
1995
Preconditioners for the mortar method based on local approximations of the Steklov-Poincaré operator. Zbl 0838.76036
Achdou, Yves; Nataf, Frédéric
1995
Substructuring preconditioners for finite element methods on nonmatching grids. Zbl 0831.65115
Achdou, Y.; Kuznetsov, Yu. A.
1995
The mortar element method for convection diffusion problems. Zbl 0835.65127
Achdou, Yves
1995
Coupling mortar finite element and boundary element methods for 2D Navier-Stokes equations. Zbl 0813.76037
Achdou, Y.; Pironneau, O.
1994
The $$\chi$$-method for the Navier-Stokes equations. Zbl 0780.76017
Achdou, Yves; Pironneau, Olivier
1993
Effet d’un revêtement métallisé mince sur la réflexion d’une onde électromagnétique. (Effect of a thin metallized coating on the reflection of an electromagnetic wave). Zbl 0800.78017
Achdou, Yves
1992
Tuning the mesh of a mixed method for the stream function. Vorticity formulation of the Navier-Stokes equations. Zbl 0760.76041
Achdou, Yves; Glowinski, Roland; Pironneau, Olivier
1992
Integral equations for the generalized Stokes operator. Zbl 0754.76057
Achdou, Yves; Pironneau, Olivier
1992
Optimization of a photocell. Zbl 0764.49021
Achdou, Y.; Pironneau, O.
1991
The $$\chi$$-method for the Navier-Stokes equations. Zbl 0736.76012
Achdou, Yves; Pironneau, Olivier
1991
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#### Cited by 1,019 Authors

 33 Achdou, Yves 17 Gomes, Diogo Luís Aguiar 16 Tchou, Nicoletta Anna 14 Bernardi, Christine 14 Nataf, Frédéric 14 Pironneau, Olivier 11 Camilli, Fabio 11 Marchi, Claudio 9 Porretta, Alessio 9 Vohralík, Martin 8 Gérard-Varet, David 7 Chinesta, Francisco 7 Grigori, Laura 7 Laurière, Mathieu 7 Le Tallec, Patrick 7 Si, Zhiyong 7 Silva, Francisco J. 6 Amirat, Youcef Aït 6 Ben Belgacem, Faker 6 Bertoluzza, Silvia 6 Nurbekyan, Levon 6 Valentin, Frédéric 6 Vélez-Santiago, Alejandro 5 Ammar, Amine 5 Bauso, Dario 5 Cardaliaguet, Pierre 5 Carlini, Elisabetta 5 Cirant, Marco 5 Dalibard, Anne-Laure 5 Franchi, Bruno 5 Glowinski, Roland 5 Haiour, Mohamed 5 Lions, Pierre-Louis 5 Maday, Yvon 5 Marušić-Paloka, Eduard 5 Nandakumaran, Akambadath Keerthiyil 5 Niu, Qiang 5 Prakash, Ravi 5 Semin, Adrien 5 Tabata, Masahisa 5 Wohlmuth, Barbara I. 4 Bagagiolo, Fabio 4 Bao, Gang 4 Bardi, Martino 4 Bayraktar, Erhan 4 Burman, Erik 4 Cacace, Simone 4 Capitanelli, Raffaela 4 Cesaroni, Annalisa 4 Dolean, Victorita 4 Ferreira, Rita 4 Forcadel, Nicolas 4 Gander, Martin Jakob 4 Gaudiello, Antonio 4 Guermond, Jean-Luc 4 Lasry, Jean-Michel 4 Marcinkowski, Leszek 4 Monneau, Régis 4 Orfi, Ajmia Younes 4 Pennacchio, Micol 4 Pimentel, Edgard A. 4 San Martín, Jorge Alonso 4 Seshaiyer, Padmanabhan 4 Toselli, Andrea 4 Valkov, Radoslav L. 3 Albani, Vinicius V. L. 3 Barles, Guy 3 Barrenechea, Gabriel R. 3 Başar, Tamer 3 Bencheikh Le Hocine, Mohamed El Amine 3 Bensoussan, Alain 3 Bodart, Olivier 3 Bokanowski, Olivier 3 Boulaaras, Salah Mahmoud 3 Briani, Ariela 3 Carmona, René A. 3 Chasseigne, Emmanuel 3 Chechkin, Gregory A. 3 Chen, Jinru 3 Chen, Shaochun 3 Cohen, Asaf 3 Dao, Manh-Khang 3 Dautov, Rafail Z. 3 de Frutos, Javier 3 Deheuvels, Thibaut 3 Delourme, Bérangère 3 Deolmi, Giulia 3 Djehiche, Boualem 3 Ern, Alexandre 3 Festa, Adriano 3 Gadyl’shin, Rustem R. 3 Guerand, Jessica 3 Hansbo, Peter 3 Hecht, Frédéric 3 Imbert, Cyril 3 Jameson Graber, P. 3 Joly, Patrick 3 Kalise, Dante 3 Kolokoltsov, Vassili N. 3 Kumagai, Taiga ...and 919 more Authors
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#### Cited in 177 Serials

 22 Journal of Computational and Applied Mathematics 21 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 20 Computer Methods in Applied Mechanics and Engineering 20 Numerische Mathematik 20 Journal de Mathématiques Pures et Appliquées. Neuvième Série 20 Comptes Rendus. Mathématique. Académie des Sciences, Paris 17 Journal of Scientific Computing 16 Mathematics of Computation 16 Applied Mathematics and Optimization 16 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 15 Computers & Mathematics with Applications 15 Journal of Differential Equations 15 Dynamic Games and Applications 14 Journal of Computational Physics 11 Journal of Mathematical Analysis and Applications 11 SIAM Journal on Control and Optimization 10 Applied Mathematics and Computation 10 SIAM Journal on Mathematical Analysis 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Calculus of Variations and Partial Differential Equations 9 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 8 Journal of Optimization Theory and Applications 8 SIAM Journal on Numerical Analysis 8 International Journal of Computer Mathematics 8 SIAM Journal on Scientific Computing 8 Discrete and Continuous Dynamical Systems 8 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 7 Mathematical Methods in the Applied Sciences 7 Applied Numerical Mathematics 7 Numerical Methods for Partial Differential Equations 7 NoDEA. Nonlinear Differential Equations and Applications 7 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 6 Applicable Analysis 6 Numerical Linear Algebra with Applications 5 Mathematics and Computers in Simulation 5 Numerical Algorithms 5 Communications in Partial Differential Equations 5 SIAM Journal on Applied Mathematics 5 Minimax Theory and its Applications 4 Archive for Rational Mechanics and Analysis 4 Computers and Fluids 4 Chaos, Solitons and Fractals 4 BIT 4 Calcolo 4 Journal of Functional Analysis 4 Computational and Applied Mathematics 4 Finance and Stochastics 4 International Journal of Theoretical and Applied Finance 4 Lobachevskii Journal of Mathematics 4 Archives of Computational Methods in Engineering 4 Discrete and Continuous Dynamical Systems. Series S 4 SIAM Journal on Financial Mathematics 4 Journal of Dynamics and Games 3 International Journal for Numerical Methods in Fluids 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Mathematical and Computer Modelling 3 Russian Journal of Numerical Analysis and Mathematical Modelling 3 Applied Mathematical Finance 3 Mathematical Problems in Engineering 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Communications in Nonlinear Science and Numerical Simulation 3 Nonlinear Analysis. Real World Applications 3 Quantitative Finance 3 Discrete and Continuous Dynamical Systems. Series B 3 Journal of Numerical Mathematics 3 Communications on Pure and Applied Analysis 3 Multiscale Modeling & Simulation 3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 Networks and Heterogeneous Media 3 S$$\vec{\text{e}}$$MA Journal 2 Communications in Mathematical Physics 2 International Journal of Heat and Mass Transfer 2 Journal of Fluid Mechanics 2 Journal of Mathematical Physics 2 Computing 2 Quarterly of Applied Mathematics 2 Zeitschrift für Analysis und ihre Anwendungen 2 Applied Mathematics Letters 2 Asymptotic Analysis 2 The Annals of Applied Probability 2 Journal of Elasticity 2 Communications in Numerical Methods in Engineering 2 St. Petersburg Mathematical Journal 2 International Journal of Computational Fluid Dynamics 2 Journal of Mathematical Fluid Mechanics 2 European Journal of Mechanics. B. Fluids 2 Computational Geosciences 2 Computational Methods in Applied Mathematics 2 Advanced Nonlinear Studies 2 Boundary Value Problems 2 GAMM-Mitteilungen 2 Inverse Problems and Imaging 1 Acta Mechanica 1 Communications on Pure and Applied Mathematics 1 International Journal of Engineering Science 1 Journal d’Analyse Mathématique 1 Journal of Engineering Mathematics 1 Journal of Mathematical Biology 1 Mathematical Biosciences ...and 77 more Serials
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#### Cited in 40 Fields

 370 Partial differential equations (35-XX) 333 Numerical analysis (65-XX) 194 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 168 Fluid mechanics (76-XX) 141 Calculus of variations and optimal control; optimization (49-XX) 46 Probability theory and stochastic processes (60-XX) 40 Mechanics of deformable solids (74-XX) 36 Systems theory; control (93-XX) 27 Operations research, mathematical programming (90-XX) 17 Biology and other natural sciences (92-XX) 15 Operator theory (47-XX) 13 Optics, electromagnetic theory (78-XX) 12 Integral equations (45-XX) 11 Measure and integration (28-XX) 11 Functional analysis (46-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Ordinary differential equations (34-XX) 7 Statistics (62-XX) 7 Computer science (68-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Geophysics (86-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Topological groups, Lie groups (22-XX) 3 Real functions (26-XX) 3 Potential theory (31-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of particles and systems (70-XX) 2 General and overarching topics; collections (00-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Differential geometry (53-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX)