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Author ID: pironneau.olivier Recent zbMATH articles by "Pironneau, Olivier"
Published as: Pironneau, Olivier; Pironneau, O.; Pironneau, Oliver; Pironneau, O. R.; Pironeau, O.
Homepage: http://www.ann.jussieu.fr/pironneau/
External Links: MGP · Wikidata · Google Scholar · ResearchGate · Math-Net.Ru · dblp · GND · IdRef · theses.fr
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Co-Authors

39 single-authored
32 Glowinski, Roland
22 Achdou, Yves
21 Périaux, Jacques F.
19 Mohammadi, Bijan
17 Lions, Jacques-Louis
13 Hecht, Frédéric
10 Kuznetsov, Yurii Alekseevich
10 Perrier, Pierre C.
9 Bercovier, Michel
8 Bardos, Claude Williams
8 Bristeau, Marie-Odile
8 Poirier, Gérard
7 Chacon, Tomas
7 Papanicolaou, George C.
6 Bègue, Catherine
6 Bernardi, Christine
6 Polak, Elijah (Lucien)
6 Valentin, Frédéric
5 McLaughlin, David W.
4 Conca, Carlos
4 Del Pino, Stéphane
4 Fitzgibbon, William Edward
4 Murat, François
4 Neittaanmäki, Pekka J.
3 Cardot, B.
3 El Dabaghi, Fadi
3 Kawarada, Hideo
3 Loeper, Grégoire
3 Lozinski, Alexei
3 Mantel, Bertrand
2 Abdoulaev, Gassan S.
2 Brezzi, Franco
2 Cessenat, Michel
2 Chetverushkin, Boris Nikolaevich
2 Dautray, Robert
2 Dicesare, Nicolas
2 Dobrzynski, Cécile
2 Frey, Pascal Jean
2 Girault, Vivette
2 Gostaf, Kirill Pichon
2 Heikkola, Erkki
2 Hontand, Jean-Claude
2 Kavenoky, Alain
2 Lantos, Nicolas
2 Lascaux, Patrick
2 Laurière, Mathieu
2 Lipp, Tobias
2 Lucquin, Brigitte
2 Maury, Bertrand
2 Mercier, Bertrand
2 Mertz, Laurent
2 Miranker, Willard Lee
2 Pagès, Gilles
2 Parés Madroñal, Carlos
2 Prud’homme, Christophe
2 Ryhming, Inge Lennart
2 Sall, Guillaume
2 Savill, A. Mark
2 Sentis, Remi
2 Tabata, Masahisa
2 Truong, Thuan V.
2 Vallet, Marie-Gabrielle
1 Alauzet, Frédéric
1 Anger, Gottfried
1 Angrand, Françoise
1 Apoung Kamga, Jean-Baptiste
1 Artola, Michel
1 Aubert, Pierre
1 Auger, Pierre M.
1 Bamberger, Alain
1 Bensoussan, Alain
1 Berwald, G.
1 Bespalov, Alexander
1 Björck, Åke
1 Boffi, Daniele
1 Bohlin, Torsten
1 Botchorishvili, Ramaz
1 Castro-Díaz, Manuel Jesús
1 Chacón Rebollo, Tomás
1 Chan, Tony Fan-Cheong
1 Chavent, Guy
1 Cifka, J.
1 Cipolla, Vittorio
1 Cont, Rama
1 Conze, Antoine
1 Cornetti, Giovanni M.
1 Coron, François
1 Cullen, Michael John Priestley
1 Dean, Edward Jerome
1 Deregowski, S. M.
1 Deshpande, Suresh M.
1 Désidéri, Jean-Antoine
1 Donea, Jean
1 Edholm, Paul
1 Eldén, Lars
1 Elfving, Tommy
1 Engquist, Bjorn E.
1 Etgen, Garret J.
1 Frediani, Aldo
1 Geeraert, Sébastien
...and 79 more Co-Authors
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Serials

12 International Journal for Numerical Methods in Fluids
9 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
8 Computer Methods in Applied Mechanics and Engineering
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
6 Numerische Mathematik
6 Comptes Rendus de l’Académie des Sciences. Série I
5 Chinese Annals of Mathematics. Series B
4 Journal of Fluid Mechanics
4 SIAM Journal on Numerical Analysis
3 Computers & Mathematics with Applications
3 Journal of Computational Physics
3 Applied Mathematical Modelling
3 Methods and Applications of Analysis
3 Computational Methods in Applied Sciences
2 Journal of Computational and Applied Mathematics
2 Optimal Control Applications & Methods
2 Journal of Scientific Computing
2 IMPACT of Computing in Science and Engineering
2 East-West Journal of Numerical Mathematics
2 International Journal of Computational Fluid Dynamics
2 Revue Européenne de Mécanique Numérique
2 SIAM Journal on Financial Mathematics
2 Numerical Mathematics and Scientific Computation
1 IMA Journal of Numerical Analysis
1 Journal of Mathematical Physics
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Mathematics of Computation
1 Annales des Sciences Mathématiques du Québec
1 Applied Mathematics and Computation
1 Journal of Optimization Theory and Applications
1 Japanese Journal of Mathematics. New Series
1 Mathematical Programming
1 RAIRO. Analyse Numérique
1 SIAM Journal on Control and Optimization
1 Mathematical Modelling
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Numerical Methods for Partial Differential Equations
1 Communications in Partial Differential Equations
1 SIAM Journal on Applied Mathematics
1 SIAM Review
1 Journal de Mécanique Théorique et Appliquée
1 Applied Mathematical Finance
1 Discrete and Continuous Dynamical Systems
1 Computing and Visualization in Science
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 RIMS Kokyuroku
1 International Journal of Theoretical and Applied Finance
1 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b. Mécanique, Physique, Astronomie
1 Computational Geosciences
1 Comptes Rendus. Mécanique. Académie des Sciences, Paris
1 Journal of Numerical Mathematics
1 Information
1 Communications on Pure and Applied Analysis
1 Multiscale Modeling & Simulation
1 Acta Numerica
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 SIAM Journal on Control
1 Frontiers in Applied Mathematics
1 Lecture Notes in Physics
1 Lecture Notes in Computational Science and Engineering
1 Risk and Decision Analysis
1 Abhandlungen der Akademie der Wissenschaften der DDR
1 East Asian Journal on Applied Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 Springer Optimization and Its Applications
1 CMAS. Computational Methods in Applied Sciences

Publications by Year

Citations contained in zbMATH Open

173 Publications have been cited 3,034 times in 2,310 Documents Cited by Year
On the transport-diffusion algorithm and its applications to the Navier-Stokes equations. Zbl 0505.76100
Pironneau, O.
261
1982
Optimal shape design for elliptic systems. Zbl 0496.93029
Pironneau, O.
168
1982
Applied shape optimization for fluids. Zbl 0970.76003
Mohammadi, Bijan; Pironneau, Olivier
165
2001
Optimal shape design for elliptic systems. Zbl 0534.49001
Pironneau, Olivier
158
1984
On optimum design in fluid mechanics. Zbl 0281.76020
Pironneau, O.
147
1974
Error estimates for finite element method solution of the Stokes problem in the primitive variables. Zbl 0423.65058
Bercovier, M.; Pironneau, O.
132
1979
The finite element method for hyperbolic systems. Zbl 0665.73059
Pironneau, O.
115
1989
Computational methods for option pricing. Zbl 1078.91008
Achdou, Yves; Pironneau, Olivier
112
2005
On optimum profiles in Stokes flow. Zbl 0274.76022
Pironneau, O.
101
1973
Effective boundary conditions for laminar flows over periodic rough boundaries. Zbl 0917.76013
Achdou, Yves; Pironneau, O.; Valentin, F.
89
1998
Numerical methods for the first biharmonic equation and for the two- dimensional Stokes problem. Zbl 0427.65073
Glowinski, R.; Pironneau, O.
83
1979
Anisotropic unstructured mesh adaption for flow simulations. Zbl 0902.76057
Castro-Díaz, M. J.; Hecht, F.; Mohammadi, B.; Pironneau, O.
77
1997
Shape optimization in fluid mechanics. Zbl 1076.76020
Mohammadi, Bijan; Pironneau, Olivier
72
2004
The Stokes and Navier-Stokes equations with boundary conditions involving the pressure. Zbl 0826.35093
Conca, C.; Murat, F.; Pironneau, O.
66
1994
Mathematical analysis and numerical methods for science and technology. Vol. 6: Evolution problems II. With the collaboration of Claude Bardos, Michel Cessenat, Alain Kavenoky, Patrick Lascaux, Bertrand Mercier, Olivier Pironneau, Bruno Scheurer, Rémi Sentis. Transl. from the French by Alain Craig. Translation editor: Ian N. Sneddon. 2nd printing. Zbl 0956.35001
Dautray, Robert; Lions, Jacques-Louis
39
2000
Convection of microstructure and related problems. Zbl 0622.76062
McLaughlin, D. W.; Papanicolaou, G. C.; Pironneau, O. R.
38
1985
Finite elements and characteristics for some parabolic-hyperbolic problems. Zbl 0505.65055
Bercovier, M.; Pironneau, O.; Sastri, V.
38
1983
On a mixed finite element approximation of the Stokes problem. I: Convergence of the approximate solutions. Zbl 0423.65059
Glowinski, R.; Pironneau, O.
36
1979
Pressure boundary condition for the time-dependent incompressible Navier-Stokes equations. Zbl 1155.76322
Sani, R. L.; Shen, J.; Pironneau, O.; Gresho, P. M.
34
2006
Rate of convergence of a class of methods of feasible directions. Zbl 0283.65032
Pironneau, O.; Polak, E.
33
1973
Navier-Stokes equations with imposed pressure and velocity fluxes. Zbl 0831.76011
Conca, C.; Pares, C.; Pironneau, O.; Thiriet, M.
32
1995
Coupling Darcy and Stokes equations for porous media with cracks. Zbl 1079.76041
Bernardi, Christine; Hecht, Frédéric; Pironneau, Olivier
30
2005
On the rate of convergence of certain methods of centers. Zbl 0248.90048
Pironneau, O.; Polak, E.
29
1972
Finite element methods for Navier-Stokes equations. Zbl 0743.76051
Glowinski, Roland; Pironneau, Olivier
29
1992
A framework for adaptive multiscale methods for elliptic problems. Zbl 1160.65342
Nolen, James; Papanicolaou, George; Pironneau, Olivier
29
2008
Les équations de Stokes et de Navier-Stokes avec des conditions aux limites sur la pression. (On Stokes and Navier-Stokes equations with boundary condition on the pressure). Zbl 0687.35069
Begue, C.; Conca, C.; Murat, F.; Pironneau, O.
29
1988
On the numerical solution of nonlinear problems in fluid dynamics by least squares and finite element methods. I. Least square formulations and conjugate gradient solution of the continuous problems. Zbl 0423.76047
Bristeau, M. O.; Pironneau, O.; Glowinski, R.; Periaux, J.; Perrier, P.
28
1979
Applied shape optimization for fluids. 2nd ed. Zbl 1179.65002
Mohammadi, Bijan; Pironneau, Olivier
26
2009
Finite element methods for the fluids. (Méthodes des éléments finis pour les fluides.) Zbl 0748.76003
Pironneau, Olivier
25
1988
Characteristic-Galerkin and Galerkin/least-squares space-time formulations for the advection-diffusion equation with time-dependent domains. Zbl 0761.76073
Pironneau, O.; Liou, J.; Tezduyar, T.
25
1992
Application of optimal control and finite element methods to the calculation of transonic flows and incompressible viscous flows. Zbl 0449.76002
Bristeau, M. O.; Pironneau, O.; Glowinski, R.; Periaux, J.; Perrier, P.; Poirier, G.
23
1980
Dynamic programming for mean-field type control. (Programmation dynamique pour les problèmes de contrôle à champs.) Zbl 1310.90117
Laurière, Mathieu; Pironneau, Olivier
22
2014
A nouveau sur les équations de Stokes et de Navier-Stokes avec des conditions aux limites sur la pression. (Going back to Stokes and Navier- Stokes equations with boundary conditions on the pressure). Zbl 0613.76029
Bègue, Catherine; Conca, Carlos; Murat, François; Pironneau, Olivier
21
1987
Analysis of a Chimera method. Zbl 0988.65117
Brezzi, Franco; Lions, Jacques-Louis; Pironneau, Olivier
21
2001
On the shallow water equations at low Reynolds number. Zbl 0723.76033
Bernardi, Christine; Pironneau, Olivier
21
1991
Iterative solution of the stream function-vorticity formulation of the Stokes problem, applications to the numerical simulation of incompressible viscous flow. Zbl 0760.76044
Dean, E. J.; Glowinski, R.; Pironneau, O.
20
1991
Constructing wall laws with domain decomposition or asymptotic expansion techniques. Zbl 0920.76063
Achdou, Y.; Le Tallec, P.; Valentin, F.; Pironneau, O.
20
1998
A formalism for the differentiation of conservation laws. Zbl 1020.35052
Bardos, Claude; Pironneau, Olivier
19
2002
On the numerical solution of nonlinear problems in fluid dynamics by least squares and finite element methods. II: Application to transonic flow simulations. Zbl 0555.76046
Bristeau, M. O.; Pironneau, O.; Glowinski, R.; Périaux, J.; Perrier, P.; Poirier, G.
19
1985
Domain decomposition and wall laws. Zbl 0834.76014
Achdou, Yves; Pironneau, Olivier
18
1995
Stability and convergence of a Galerkin-characteristics finite element scheme of lumped mass type. Zbl 1211.65119
Pironneau, O.; Tabata, M.
18
2010
Conditions aux limites sur la pression pour les équations de Stokes et de Navier-Stokes. (Boundary conditions on the pressure for the Stokes and the Navier-Stokes equations). Zbl 0613.76028
Pironneau, Olivier
18
1986
Rough boundaries and wall laws. Zbl 0904.76031
Mohammadi, Bijan; Pironneau, Olivier; Valentin, Frederic
17
1998
On the numerical computation of the minimum-drag profile in laminar flow. Zbl 0323.76024
Glowinski, R.; Pironneau, O.
17
1975
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.
17
1995
Mesh adaption for the Black and Scholes equations. Zbl 0995.91026
Pironneau, O.; Hecht, F.
16
2000
Finite volume schemes with equilibrium type discretization of source terms for scalar conservation laws. Zbl 1022.65099
Botchorishvili, Ramaz; Pironneau, Olivier
16
2003
On numerical methods for the Stokes problem. Zbl 0415.76024
Glowinski, R.; Pironneau, O.
14
1979
Analyse mathématique et calcul numérique pour les sciences et les techniques. Volume 9: Évolution: numérique, transport. (Mathematical analysis and numerical methods for science and technology. Volume 9: Evolution: numerical methods, transport equations). Tirage en 9 volumes brochés, reproduction intégrale de l’ouvrage paru en trois tomes reliés, chez Masson en 1984 et 1985. Tirage en 9 volumes brochés, reproduction intégrale de l’ouvrage paru en trois tomes reliés, chez Masson en 1984 et 1985. (Analyse mathématique et calcul numérique pour les sciences et les techniques. Volume 9: Évolution: numérique, transport.) Zbl 0749.35005
Dautray, Robert; Lions, Jacques-Louis; Artola, Michel; Bardos, Claude; Cessenat, Michel; Kavenoky, Alain; Lascaux, Patrick; Mercier, Bertrand; Pironneau, Olivier; Sentis, Rémi
13
1988
Substructuring preconditioners for the \(Q_ 1\) mortar element method. Zbl 0840.65122
Achdou, Y.; Kuznetsov, Yu. A.; Pironneau, O.
13
1995
Applied optimal shape design. Zbl 1018.76039
Mohammadi, B.; Pironneau, O.
12
2002
Optimal swimming of flagellated micro-organisms. Zbl 0295.76084
Pironneau, O.; Katz, D. F.
11
1974
A reduced basis for option pricing. Zbl 1227.91033
Cont, Rama; Lantos, Nicolas; Pironneau, Olivier
11
2011
Stream vectors in three dimensional aerodynamics. Zbl 0625.76009
El Dabaghi, Fadi; Pironneau, Olivier
10
1986
Data assimilation for conservation laws. Zbl 1114.35122
Bardos, Claude; Pironneau, Olivier
9
2005
Analysis of a coupled fluid-structure model with applications to hemodynamics. Zbl 1343.35184
Chacón Rebollo, T.; Girault, V.; Murat, F.; Pironneau, O.
8
2016
A few tools for turbulence models in Navier-Stokes equations. Zbl 1189.76110
Cardot, B.; Mohammadi, B.; Pironneau, O.
8
1993
Consistent approximations and approximate functions and gradients in optimal control. Zbl 1011.49020
Pironneau, Olivier; Polak, Elijah
8
2002
Automatic differentiation in C++ using expression templates and application to a flow control problem. Zbl 0966.68029
Aubert, Pierre; Di Césaré, Nicolas; Pironneau, Olivier
8
2001
Sensitivity of Darcy’s law to discontinuities. Zbl 1040.35067
Bernardi, C.; Pironneau, O.
8
2003
A dual method for optimal control problems with initial and final boundary constraints. Zbl 0238.49020
Pironneau, O.; Polak, E.
7
1973
Some notes on periodic Beltrami fields in Cartesian geometry. Zbl 0850.76027
McLaughlin, D.; Pironneau, O.
7
1991
Optimization of a photocell. Zbl 0764.49021
Achdou, Y.; Pironneau, O.
7
1991
A mixed PDE/Monte-Carlo method for stochastic volatility models. Zbl 1168.91018
Loeper, Grégoire; Pironneau, Olivier
7
2009
Domain decomposition methods for CAD. Zbl 0937.68140
Lions, Jacques-Louis; Pironneau, Olivier
7
1999
On the problems of riblets as a drag reduction device. Zbl 0667.49002
Arumugam, G.; Pironneau, O.
7
1989
An ultra weak finite element method as an alternative to a Monte Carlo method for an elasto-plastic problem with noise. Zbl 1210.37060
Bensoussan, Alain; Mertz, Laurent; Pironneau, Olivier; Turi, Janos
7
2009
Towards the computation of minimum drag profiles in viscous laminar flow. Zbl 0361.76035
Glowinski, R.; Pironneau, O.
7
1976
Characteristics and the finite element method. Zbl 0508.76007
Bercovier, M.; Pironneau, O.
7
1982
Dynamic programming for mean-field type control. Zbl 1342.35420
Laurière, Mathieu; Pironneau, Olivier
6
2016
Characteristic-Galerkin and the particle method for the convection- diffusion equation and the Navier-Stokes equations. Zbl 0751.76047
Pironneau, O.; Huberson, S.
6
1991
Shape control versus boundary control. Zbl 0920.35020
Achdou, Yves; Pironneau, Olivier; Valentin, Frédéric
6
1998
Domain decomposition and wall laws. Zbl 0931.76077
Achdou, Y.; Mohammadi, B.; Pironneau, O.; Valentin, F.
6
1998
Introduction to scientific computing. Transl. from the French by Michel Kern. Zbl 0899.65062
Lucquin, Brigitte; Pironneau, Olivier
6
1998
A finite element approximation of Navier-Stokes equations for incompressible viscous fluids. Iterative methods of solution. Zbl 0426.65064
Bristeau, M. O.; Glowinski, R.; Mantel, B.; Periaux, J.; Perrier, P.; Pironneau, O.
6
1980
Numerical analysis for compressible viscous isentropic stationary flows. Zbl 0702.76073
Pironneau, O.; Rappaz, J.
6
1989
The vortex method with finite elements. Zbl 0488.65049
Bardos, Claude; Bercovier, Michel; Pironneau, Olivier
6
1981
Unsteady separated turbulent flows computation with wall-laws and \(k\)-\(\varepsilon\) model. Zbl 0923.76190
Mohammadi, Bijan; Pironneau, Olivier
5
1997
Numerical zoom for multiscale problems with an application to nuclear waste disposal. Zbl 1261.76014
Apoung Kamga, Jean-Baptiste; Pironneau, Olivier
5
2007
Numerical procedure for calibration of volatility with American options. Zbl 1138.91414
Achdou, Yves; Pironneau, Olivier
5
2005
Fictitious domains with separable preconditioners versus unstructured adapted meshes. Zbl 0760.76068
Bespalov, Alexander; Kuznetsov, Yuri; Pironneau, Olivier; Vallet, Marie- Gabrielle
5
1992
Parallel algorithms for boundary value problems. (Algorithmes parallèles pour la solution de problèmes aux limites.) Zbl 0918.65071
Lions, Jacques-Louis; Pironneau, Olivier
5
1998
Mesh adaption and automatic differentiation in a CAD-free framework for optimal shape design. Zbl 0922.76264
Mohammadi, Bijan; Pironneau, Olivier
5
1999
Pressure boundary conditions for blood flows. Zbl 1322.76078
Gostaf, Kirill P.; Pironneau, Olivier
5
2015
Optimal shape design by local boundary variations. Zbl 0966.35019
Pironneau, Olivier
5
2000
Reduced basis for vanilla and basket options. Zbl 1409.91280
Pironneau, Olivier
5
2011
The parareal algorithm for American options. (La méthode pararéelle pour les options américaines.) Zbl 1348.91286
Pagès, Gilles; Pironneau, Olivier; Sall, Guillaume
5
2016
Fast and accurate simulations of air-cooled structures. Zbl 1176.76062
Dobrzynski, Cécile; Frey, Pascal J.; Mohammadi, Bijan; Pironneau, Olivier
4
2006
Decomposition of energy spaces and applications. Zbl 0938.65081
Glowinski, Roland; Lions, Jacques-Louis; Pironneau, Olivier
4
1999
Dupire-like identities for complex options. Zbl 1371.91182
Pironneau, Olivier
4
2007
Transonic flow simulations by finite elements and least square methods. Zbl 0478.76073
Bristeau, M. O.; Glowinski, R.; Periaux, J.; Perrier, P.; Pironneau, O.; Poirier, G.
4
1980
A priori domain decomposition of PDE systems and applications. Zbl 1004.65133
Del Pino, S.; Lions, J. L.; Pironneau, O.
4
2002
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
4
1992
Estimations d’erreurs pour la résolution du problème de Stokes en éléments finis conformes de Lagrange. Zbl 0377.65055
Bercovier, Michel; Pironneau, Olivier
4
1977
Approximation par éléments finis mixtes du problème de Stokes en formulation vitesse-pression. Convergence des solutions approchees. Zbl 0377.65056
Glowinski, Roland; Pironneau, Olivier
4
1978
Numerical zoom for advection-diffusion problems with localized multiscales. Zbl 1211.76072
Lozinski, Alexei; Pironneau, Olivier
4
2011
Volatility smile by multilevel least square. Zbl 1107.91319
Achdou, Yves; Pironneau, Olivier
4
2002
The \(\chi\)-method for the Navier-Stokes equations. Zbl 0780.76017
Achdou, Yves; Pironneau, Olivier
3
1993
Coupling mortar finite element and boundary element methods for 2D Navier-Stokes equations. Zbl 0813.76037
Achdou, Y.; Pironneau, O.
3
1994
A particle in cell method for the 2-D compressible Euler equations. Zbl 0872.76076
Mas-Gallic, S.; Louaked, M.; Pironneau, O.
3
1993
An energy stable monolithic Eulerian fluid-structure numerical scheme. Zbl 1386.76104
Pironneau, Olivier
2
2018
Finite difference scheme for one system of nonlinear partial integro-differential equations. Zbl 1427.65164
Hecht, Frederic; Jangveladze, Temur; Kiguradze, Zurab; Pironneau, Olivier
2
2018
Analysis of a coupled fluid-structure model with applications to hemodynamics. Zbl 1343.35184
Chacón Rebollo, T.; Girault, V.; Murat, F.; Pironneau, O.
8
2016
Dynamic programming for mean-field type control. Zbl 1342.35420
Laurière, Mathieu; Pironneau, Olivier
6
2016
The parareal algorithm for American options. (La méthode pararéelle pour les options américaines.) Zbl 1348.91286
Pagès, Gilles; Pironneau, Olivier; Sall, Guillaume
5
2016
Variational analysis and aerospace engineering. Mathematical challenges for the aerospace of the future. Based on the presentations at the workshop, Erice, Italy, 2015. Zbl 1355.93004
2
2016
Pressure boundary conditions for blood flows. Zbl 1322.76078
Gostaf, Kirill P.; Pironneau, Olivier
5
2015
Dynamic programming for mean-field type control. (Programmation dynamique pour les problèmes de contrôle à champs.) Zbl 1310.90117
Laurière, Mathieu; Pironneau, Olivier
22
2014
Finite element analysis of multi-component assemblies: CAD-based domain decomposition. Zbl 1454.74141
Gostaf, Kirill Pichon; Pironneau, Olivier; Roux, François-Xavier
1
2014
Mixing Monte-Carlo and partial differential equations for pricing options. Zbl 1264.91139
Lipp, Tobias; Loeper, Grégoire; Pironneau, Olivier
3
2013
Implementation of a low-order mimetic elements in freefem++. Zbl 1267.65127
Dalal, D.; Hecht, F.; Pironneau, O.
3
2012
Continuous and discrete adjoints to the Euler equations for fluids. Zbl 1412.76066
Alauzet, F.; Pironneau, O.
2
2012
Pricing futures by deterministic methods. Zbl 1272.91122
Pironneau, Olivier
1
2012
A reduced basis for option pricing. Zbl 1227.91033
Cont, Rama; Lantos, Nicolas; Pironneau, Olivier
11
2011
Reduced basis for vanilla and basket options. Zbl 1409.91280
Pironneau, Olivier
5
2011
Numerical zoom for advection-diffusion problems with localized multiscales. Zbl 1211.76072
Lozinski, Alexei; Pironneau, Olivier
4
2011
Stability and convergence of a Galerkin-characteristics finite element scheme of lumped mass type. Zbl 1211.65119
Pironneau, O.; Tabata, M.
18
2010
Finite element characteristic methods requiring no quadrature. Zbl 1203.76087
Pironneau, Olivier
3
2010
Applied shape optimization for fluids. 2nd ed. Zbl 1179.65002
Mohammadi, Bijan; Pironneau, Olivier
26
2009
A mixed PDE/Monte-Carlo method for stochastic volatility models. Zbl 1168.91018
Loeper, Grégoire; Pironneau, Olivier
7
2009
An ultra weak finite element method as an alternative to a Monte Carlo method for an elasto-plastic problem with noise. Zbl 1210.37060
Bensoussan, Alain; Mertz, Laurent; Pironneau, Olivier; Turi, Janos
7
2009
Calibration of options on a reduced basis. Zbl 1173.91398
Pironneau, Olivier
3
2009
Numerical zoom and the Schwarz algorithm. Zbl 1183.65162
Hecht, Frédéric; Lozinski, Alexei; Pironneau, Olivier
2
2009
The forward Kolmogorov equation for two dimensional options. Zbl 1154.91436
Conze, Antoine; Lantos, Nicolas; Pironneau, Olivier
1
2009
Numerical zoom for multiscale problems with an application to flows through porous media. Zbl 1156.76033
Hecht, Frédéric; Lozinski, Alexei; Perronnet, Alain; Pironneau, Olivier
1
2009
Partial differential equations for option pricing. Zbl 1180.91311
Pironneau, Olivier; Achdou, Yves
1
2009
A framework for adaptive multiscale methods for elliptic problems. Zbl 1160.65342
Nolen, James; Papanicolaou, George; Pironneau, Olivier
29
2008
Theory and practice of optimal shape design. Zbl 1292.76003
Mohammadi, Bijan; Pironneau, Olivier
3
2008
Numerical zoom for multiscale problems with an application to nuclear waste disposal. Zbl 1261.76014
Apoung Kamga, Jean-Baptiste; Pironneau, Olivier
5
2007
Dupire-like identities for complex options. Zbl 1371.91182
Pironneau, Olivier
4
2007
Coupling and adaptation of anisotropic meshes for simulations of air flow in complex geometries. (Couplage et adaptation de maillage anisotrope pour des simulations de flux d’air dans des géométries complexes.) Zbl 1292.76041
Dobrzynski, Cécile; Frey, Pascal; Pironneau, Olivier
2
2007
Pressure boundary condition for the time-dependent incompressible Navier-Stokes equations. Zbl 1155.76322
Sani, R. L.; Shen, J.; Pironneau, O.; Gresho, P. M.
34
2006
Fast and accurate simulations of air-cooled structures. Zbl 1176.76062
Dobrzynski, Cécile; Frey, Pascal J.; Mohammadi, Bijan; Pironneau, Olivier
4
2006
A vector Hamilton-Jacobi formulation for the numerical simulation of Euler flows. Zbl 1134.76057
Hoch, Philippe; Pironneau, Olivier
1
2006
Computational methods for option pricing. Zbl 1078.91008
Achdou, Yves; Pironneau, Olivier
112
2005
Coupling Darcy and Stokes equations for porous media with cracks. Zbl 1079.76041
Bernardi, Christine; Hecht, Frédéric; Pironneau, Olivier
30
2005
Data assimilation for conservation laws. Zbl 1114.35122
Bardos, Claude; Pironneau, Olivier
9
2005
Numerical procedure for calibration of volatility with American options. Zbl 1138.91414
Achdou, Yves; Pironneau, Olivier
5
2005
Domain decomposition methods in science and engineering. XV. Selected papers of the 15th international conference on domain decomposition, Berlin, Germany, July 21–25, 2003. Zbl 1049.65003
1
2005
Shape optimization in fluid mechanics. Zbl 1076.76020
Mohammadi, Bijan; Pironneau, Olivier
72
2004
Asymptotic analysis and layer decomposition for the Couplex exercise. Zbl 1060.86004
Del Pino, Stephane; Pironneau, Olivier
3
2004
Volatility calibration with American options. Zbl 1177.91121
Achdou, Yves; Indragoby, Govindaraj; Pironneau, Olivier
2
2004
Finite volume schemes with equilibrium type discretization of source terms for scalar conservation laws. Zbl 1022.65099
Botchorishvili, Ramaz; Pironneau, Olivier
16
2003
Sensitivity of Darcy’s law to discontinuities. Zbl 1040.35067
Bernardi, C.; Pironneau, O.
8
2003
Computer solutions of Maxwell’s equations in homogeneous media. Zbl 1037.78009
Pironneau, O.
2
2003
Numerical methods for scientific computing. Variational problems and applications. Zbl 1158.65006
1
2003
Shape sensitivity and design for fluids with shocks. Zbl 1043.76535
Pironneau, Olivier
1
2003
A formalism for the differentiation of conservation laws. Zbl 1020.35052
Bardos, Claude; Pironneau, Olivier
19
2002
Applied optimal shape design. Zbl 1018.76039
Mohammadi, B.; Pironneau, O.
12
2002
Consistent approximations and approximate functions and gradients in optimal control. Zbl 1011.49020
Pironneau, Olivier; Polak, Elijah
8
2002
A priori domain decomposition of PDE systems and applications. Zbl 1004.65133
Del Pino, S.; Lions, J. L.; Pironneau, O.
4
2002
Volatility smile by multilevel least square. Zbl 1107.91319
Achdou, Yves; Pironneau, Olivier
4
2002
Derivative with respect to discontinuities in the porosity. Zbl 1013.76085
Bernardi, Christine; Pironneau, Olivier
3
2002
Consistent approximations, automatic differentiation and domain decomposition for optimal shape design. Zbl 1082.93588
Pironneau, Olivier; Dicesare, Nicolas
3
2002
Control of transonic shock positions. Zbl 1069.35043
Pironneau, Olivier
1
2002
Applied shape optimization for fluids. Zbl 0970.76003
Mohammadi, Bijan; Pironneau, Olivier
165
2001
Analysis of a Chimera method. Zbl 0988.65117
Brezzi, Franco; Lions, Jacques-Louis; Pironneau, Olivier
21
2001
Automatic differentiation in C++ using expression templates and application to a flow control problem. Zbl 0966.68029
Aubert, Pierre; Di Césaré, Nicolas; Pironneau, Olivier
8
2001
A finite element problem issued from fictious domain techniques. Zbl 1002.65127
Bernardi, C.; Girault, V.; Hecht, F.; Kawarada, H.; Pironneau, O.
3
2001
High precision with low order finite elements. Zbl 1063.65106
Lions, Jacques-Louis; Pironneau, Olivier
1
2001
Mathematical analysis and numerical methods for science and technology. Vol. 6: Evolution problems II. With the collaboration of Claude Bardos, Michel Cessenat, Alain Kavenoky, Patrick Lascaux, Bertrand Mercier, Olivier Pironneau, Bruno Scheurer, Rémi Sentis. Transl. from the French by Alain Craig. Translation editor: Ian N. Sneddon. 2nd printing. Zbl 0956.35001
Dautray, Robert; Lions, Jacques-Louis
39
2000
Mesh adaption for the Black and Scholes equations. Zbl 0995.91026
Pironneau, O.; Hecht, F.
16
2000
Optimal shape design by local boundary variations. Zbl 0966.35019
Pironneau, Olivier
5
2000
Overlapping domain decomposition of evolution operators. Zbl 0960.65102
Lions, Jacques-Louis; Pironneau, Olivier
3
2000
Non-overlapping domain decomposition for evolution operators. Zbl 0960.65103
Lions, Jacques-Louis; Pironneau, Olivier
2
2000
Virtual control, replicas and decomposition of operators. Zbl 0962.93020
Lions, Jacques-Louis; Pironneau, Olivier
1
2000
Domain decomposition methods for CAD. Zbl 0937.68140
Lions, Jacques-Louis; Pironneau, Olivier
7
1999
Mesh adaption and automatic differentiation in a CAD-free framework for optimal shape design. Zbl 0922.76264
Mohammadi, Bijan; Pironneau, Olivier
5
1999
Decomposition of energy spaces and applications. Zbl 0938.65081
Glowinski, Roland; Lions, Jacques-Louis; Pironneau, Olivier
4
1999
Numerical models for turbulent flows in complex geometries. (Modèles numériques pour les écoulements turbulents dans des géométries complexes.) Zbl 0929.76111
Pironneau, Olivier
1
1999
Effective boundary conditions for laminar flows over periodic rough boundaries. Zbl 0917.76013
Achdou, Yves; Pironneau, O.; Valentin, F.
89
1998
Constructing wall laws with domain decomposition or asymptotic expansion techniques. Zbl 0920.76063
Achdou, Y.; Le Tallec, P.; Valentin, F.; Pironneau, O.
20
1998
Rough boundaries and wall laws. Zbl 0904.76031
Mohammadi, Bijan; Pironneau, Olivier; Valentin, Frederic
17
1998
Shape control versus boundary control. Zbl 0920.35020
Achdou, Yves; Pironneau, Olivier; Valentin, Frédéric
6
1998
Domain decomposition and wall laws. Zbl 0931.76077
Achdou, Y.; Mohammadi, B.; Pironneau, O.; Valentin, F.
6
1998
Introduction to scientific computing. Transl. from the French by Michel Kern. Zbl 0899.65062
Lucquin, Brigitte; Pironneau, Olivier
6
1998
Parallel algorithms for boundary value problems. (Algorithmes parallèles pour la solution de problèmes aux limites.) Zbl 0918.65071
Lions, Jacques-Louis; Pironneau, Olivier
5
1998
Nonmatching grids for fluids. Zbl 0919.76045
Achdou, Yves; Abdoulaev, Gassan; Hontand, Jean-Claude; Kuznetsov, Yuri A.; Pironneau, Olivier; Prud’homme, Christophe
3
1998
On the control of distributed systems in parallel. (Sur le contrôle parallèle des systèmes distribués.) Zbl 0926.93032
Lions, Jacques-Louis; Pironneau, Olivier
2
1998
Anisotropic unstructured mesh adaption for flow simulations. Zbl 0902.76057
Castro-Díaz, M. J.; Hecht, F.; Mohammadi, B.; Pironneau, O.
77
1997
Unsteady separated turbulent flows computation with wall-laws and \(k\)-\(\varepsilon\) model. Zbl 0923.76190
Mohammadi, Bijan; Pironneau, Olivier
5
1997
Introduction to scientific computing. (Introduction au calcul scientifique.) Zbl 0907.65105
Lucquin, Brigitte; Pironneau, Olivier
3
1996
A mortar element method for an approximate Navier-Stokes solver. Zbl 0871.76037
Achdou, Y.; Kuznetsov, Y.; Pironneau, O.
1
1996
Navier-Stokes equations with imposed pressure and velocity fluxes. Zbl 0831.76011
Conca, C.; Pares, C.; Pironneau, O.; Thiriet, M.
32
1995
Domain decomposition and wall laws. Zbl 0834.76014
Achdou, Yves; Pironneau, Olivier
18
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.
17
1995
Substructuring preconditioners for the \(Q_ 1\) mortar element method. Zbl 0840.65122
Achdou, Y.; Kuznetsov, Yu. A.; Pironneau, O.
13
1995
Applied mathematics and turbulence modelling. Zbl 0836.76041
Mohammadi, B.; Pironneau, O.
3
1995
New tools for automatic aerodynamic shape design. Zbl 0875.76494
Mohammadi, Bijan; Pironneau, Olivier
2
1995
The Stokes and Navier-Stokes equations with boundary conditions involving the pressure. Zbl 0826.35093
Conca, C.; Murat, F.; Pironneau, O.
66
1994
Coupling mortar finite element and boundary element methods for 2D Navier-Stokes equations. Zbl 0813.76037
Achdou, Y.; Pironneau, O.
3
1994
Small perturbations and Euler equations for aeroelasticity. (Petites perturbations et équations d’Euler pour l’aéroélasticité.) Zbl 0820.76071
Bardos, C.; Pironneau, O.
1
1994
A few tools for turbulence models in Navier-Stokes equations. Zbl 1189.76110
Cardot, B.; Mohammadi, B.; Pironneau, O.
8
1993
The \(\chi\)-method for the Navier-Stokes equations. Zbl 0780.76017
Achdou, Yves; Pironneau, Olivier
3
1993
A particle in cell method for the 2-D compressible Euler equations. Zbl 0872.76076
Mas-Gallic, S.; Louaked, M.; Pironneau, O.
3
1993
Finite element methods for Navier-Stokes equations. Zbl 0743.76051
Glowinski, Roland; Pironneau, Olivier
29
1992
Characteristic-Galerkin and Galerkin/least-squares space-time formulations for the advection-diffusion equation with time-dependent domains. Zbl 0761.76073
Pironneau, O.; Liou, J.; Tezduyar, T.
25
1992
Fictitious domains with separable preconditioners versus unstructured adapted meshes. Zbl 0760.76068
Bespalov, Alexander; Kuznetsov, Yuri; Pironneau, Olivier; Vallet, Marie- Gabrielle
5
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
4
1992
Integral equations for the generalized Stokes operator. Zbl 0754.76057
Achdou, Yves; Pironneau, Olivier
2
1992
...and 73 more Documents
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Cited by 3,172 Authors

49 Pironneau, Olivier
36 Glowinski, Roland
27 Allaire, Grégoire
25 Mohammadi, Bijan
22 Ma, Yichen
21 Vázquez Cendón, Carlos
20 Bernardi, Christine
18 Gao, Zhiming
18 Harbrecht, Helmut
18 He, Yinnian
16 Mai Duc Thanh
15 Giannakoglou, Kyriakos C.
15 Tabata, Masahisa
14 Dapogny, Charles
14 El-Amrani, Mofdi
14 Hecht, Frédéric
14 Seaïd, Mohammed
13 Chacón Rebollo, Tomás
13 Périaux, Jacques F.
12 Haslinger, Jaroslav
12 Pan, Tsorng-Whay
11 Alvarez-Vázquez, Lino Jose
11 Chinesta, Francisco
11 Gatica, Gabriel N.
11 Kawahara, Mutsuto
11 Liu, Steve Wenbin
11 Martinez, Aurea
11 Olshanskii, Maxim A.
11 Papadimitriou, Dimitrios I.
11 Polak, Elijah (Lucien)
11 Yan, Wenjing
10 Bermejo, Rodolfo
10 Jian, Jinbao
10 Notsu, Hirofumi
10 Quarteroni, Alfio M.
10 Zhu, Shengfeng
9 Abdelwahed, Mohamed
9 Duan, Xianbao
9 Durany, José
9 Frey, Pascal Jean
9 Jouve, François
9 Ruas, Vitoriano
9 Rui, Hongxing
9 Si, Zhiyong
9 Vázquez-Méndez, Miguel Ernesto
9 Wang, Hong
9 Zuazua, Enrique
8 Azegami, Hideyuki
8 Bermúdez, Alfredo
8 Ewing, Richard Edward
8 Gérard-Varet, David
8 Girault, Vivette
8 Glau, Kathrin
8 Neittaanmäki, Pekka J.
8 Picasso, Marco
8 Quartapelle, Luigi
8 San Martín, Jorge Alonso
7 Alauzet, Frédéric
7 Amara, Mohamed
7 Amrouche, Chérif
7 Bresch, Didier
7 Čanić, Sunčica
7 Cuong, Dao Huy
7 Feng, Xinlong
7 Hansbo, Peter
7 Hughes, Thomas J. R.
7 Li, Kaitai
7 Marušić-Paloka, Eduard
7 Maute, Kurt
7 Nishiwaki, Shinji
7 Oñate Ibáñez de Navarra, Eugenio
7 Pažanin, Igor
7 Rappaz, Jacques
7 Ruiz-Baier, Ricardo
7 Schulz, Volker H.
7 Wohlmuth, Barbara I.
6 Achdou, Yves
6 Bensoussan, Alain
6 Bristeau, Marie-Odile
6 Carey, Graham Francis
6 Chen, Zhangxin
6 Chung, Tsz Shun Eric
6 Dalibard, Anne-Laure
6 Eppler, Karsten
6 Franca, Leopoldo Luis Cabo Penna
6 Fu, Hongfei
6 Guermond, Jean-Luc
6 Guidoboni, Giovanna
6 Hassine, Maatoug
6 He, Jiwen
6 Iollo, Angelo
6 Izui, Kazuhiro
6 Kostreva, Michael M.
6 Lapin, Aleksandr Vasil’evich
6 Le Tallec, Patrick
6 Li, Jian
6 Lozinski, Alexei
6 Maday, Yvon
6 Mittal, Sanjay
6 Murea, Cornel Marius
...and 3,072 more Authors
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Cited in 314 Serials

216 Computer Methods in Applied Mechanics and Engineering
167 Journal of Computational Physics
91 Computers and Fluids
70 Journal of Computational and Applied Mathematics
67 Journal of Scientific Computing
53 Computers & Mathematics with Applications
53 Applied Mathematics and Computation
51 Journal of Optimization Theory and Applications
49 Numerische Mathematik
45 International Journal for Numerical Methods in Fluids
45 Applied Numerical Mathematics
43 International Journal of Computational Fluid Dynamics
38 Comptes Rendus. Mathématique. Académie des Sciences, Paris
37 Mathematics of Computation
36 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
31 SIAM Journal on Scientific Computing
30 RAIRO. Modélisation Mathématique et Analyse Numérique
29 Numerical Methods for Partial Differential Equations
25 Journal of Fluid Mechanics
25 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
24 Journal of Mathematical Analysis and Applications
24 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
23 International Journal for Numerical Methods in Engineering
23 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
20 International Journal of Computer Mathematics
20 Structural and Multidisciplinary Optimization
17 Mathematics and Computers in Simulation
16 Mathematical Methods in the Applied Sciences
15 SIAM Journal on Numerical Analysis
15 Applications of Mathematics
14 Applied Mathematics Letters
14 Mathematical and Computer Modelling
14 Computational Optimization and Applications
13 Applied Mathematical Modelling
13 Advances in Computational Mathematics
12 Applied Mathematics and Optimization
12 Journal of Differential Equations
12 Computational Mechanics
12 Japan Journal of Industrial and Applied Mathematics
11 Computational and Applied Mathematics
11 Optimization and Engineering
10 Applicable Analysis
10 Archive for Rational Mechanics and Analysis
10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 SIAM Journal on Control and Optimization
10 Physics of Fluids
10 Optimization Methods & Software
10 Archives of Computational Methods in Engineering
9 Communications in Numerical Methods in Engineering
9 Journal of Mathematical Fluid Mechanics
9 Quantitative Finance
9 Inverse Problems in Science and Engineering
8 BIT
8 SIAM Journal on Mathematical Analysis
8 Mathematical Problems in Engineering
8 Abstract and Applied Analysis
8 European Journal of Mechanics. B. Fluids
8 Nonlinear Analysis. Real World Applications
8 Discrete and Continuous Dynamical Systems. Series S
7 International Journal of Engineering Science
7 Journal of Engineering Mathematics
7 Journal of Mathematical Physics
7 Computing
7 Numerical Algorithms
7 Communications in Partial Differential Equations
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 SIAM Journal on Applied Mathematics
7 Finance and Stochastics
7 SIAM Journal on Financial Mathematics
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Calcolo
6 Numerical Functional Analysis and Optimization
6 Chinese Annals of Mathematics. Series B
6 Communications on Pure and Applied Analysis
6 Multiscale Modeling & Simulation
6 International Journal of Computational Methods
6 Boundary Value Problems
6 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
6 Communications in Computational Physics
6 Advances in Applied Mathematics and Mechanics
6 S\(\vec{\text{e}}\)MA Journal
6 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
6 SMAI Journal of Computational Mathematics
5 International Journal of Heat and Mass Transfer
5 Quarterly of Applied Mathematics
5 Journal of Non-Newtonian Fluid Mechanics
5 Calculus of Variations and Partial Differential Equations
5 Journal of Mathematical Sciences (New York)
5 Russian Journal of Numerical Analysis and Mathematical Modelling
5 Applied Mathematical Finance
5 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
5 Discrete and Continuous Dynamical Systems. Series B
5 International Journal of Numerical Analysis and Modeling
4 Communications in Mathematical Physics
4 Journal of the Franklin Institute
4 Physics of Fluids, A
4 Chaos, Solitons and Fractals
4 RAIRO. Analyse Numérique
4 Optimal Control Applications & Methods
4 Zeitschrift für Analysis und ihre Anwendungen
...and 214 more Serials
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Cited in 44 Fields

1,264 Fluid mechanics (76-XX)
1,135 Numerical analysis (65-XX)
774 Partial differential equations (35-XX)
409 Calculus of variations and optimal control; optimization (49-XX)
296 Mechanics of deformable solids (74-XX)
152 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
139 Operations research, mathematical programming (90-XX)
70 Biology and other natural sciences (92-XX)
69 Probability theory and stochastic processes (60-XX)
61 Systems theory; control (93-XX)
59 Geophysics (86-XX)
53 Classical thermodynamics, heat transfer (80-XX)
37 Optics, electromagnetic theory (78-XX)
26 Computer science (68-XX)
19 Statistical mechanics, structure of matter (82-XX)
16 Integral equations (45-XX)
15 Potential theory (31-XX)
15 Ordinary differential equations (34-XX)
15 Functional analysis (46-XX)
13 Operator theory (47-XX)
13 Statistics (62-XX)
12 Approximations and expansions (41-XX)
8 Dynamical systems and ergodic theory (37-XX)
6 Real functions (26-XX)
6 Differential geometry (53-XX)
6 Global analysis, analysis on manifolds (58-XX)
6 Information and communication theory, circuits (94-XX)
5 General and overarching topics; collections (00-XX)
4 Manifolds and cell complexes (57-XX)
4 Quantum theory (81-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
2 History and biography (01-XX)
2 Measure and integration (28-XX)
2 Difference and functional equations (39-XX)
2 Geometry (51-XX)
2 Mechanics of particles and systems (70-XX)
1 Category theory; homological algebra (18-XX)
1 Topological groups, Lie groups (22-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Mathematics education (97-XX)

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