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Bonnans, Joseph Frédéric

Author ID: bonnans.joseph-frederic Recent zbMATH articles by "Bonnans, Joseph Frédéric"
Published as: Bonnans, J. Frédéric; Bonnans, J. F.; Bonnans, Joseph Frédéric; Bonnans, Frédéric; Frédéric Bonnans, J.; Bonnans, Frederic; Bonnans, F.; Bonnans, Joseph Frederic; Bonnans, Joseph Fréderic; Bonnans, J.  Frédéric; Bonnans, Frédéric J.; Bonnans, J.
Homepage: http://www.cmap.polytechnique.fr/~bonnans/
External Links: MGP
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Co-Authors

23 single-authored
11 Casas, Eduardo
10 Pfeiffer, Laurent
9 Aronna, María Soledad
9 Zidani, Hasnaa
8 Shapiro, Alexander
7 Silva, Francisco J.
6 Gianatti, Justina
6 Hermant, Audrey
6 Kröner, Axel
5 Cominetti, Roberto
5 Sagastizábal, Claudia A.
5 Tiba, Dan
4 Gilbert, Jean Charles
4 Ioffe, Alexander Davidovich
4 Lemaréchal, Claude
3 Bonnet, Guillaume
3 Dupuis, Xavier
3 Gabay, Daniel
3 Lavigne, Pierre
3 Lunz, Davin
3 Martinon, Pierre
3 Mirebeau, Jean-Marie
3 Osmolovskiĭ, Nikolaĭ Pavlovich
2 Ben Latifa, Imène
2 Blanchon, G.
2 Cen, Zhihao
2 Christel, Thibault
2 Dodu, Jean-Claude
2 Goh, Bean San
2 Gonzaga, Clóvis Caesar
2 Haddou, Mounir
2 Launay, Geneviève
2 Laurent-Varin, Julien
2 Liu, Kang
2 Maroso, Stefania
2 Mnif, Mohamed
2 Oudjane, Nadia
2 Pola, Cecilia
2 Ruess, Jakob
2 Sánchez Fernández De La Vega, Constanza
1 Adam, Soizic
1 Aftalion, Amandine
1 Alasseur, Clemence
1 Alvarez, Felipe
1 André, Matthieu A.
1 Aouchiche, K.
1 Barbu, Viorel
1 Bayen, Térence
1 Bérend, Nicolas
1 Bessi Fourati, R.
1 Bolte, Jérôme
1 Bouhtou, Mustapha
1 Chartier, Philippe
1 Cornibert, Laurent
1 De Paola, Antonio
1 Dmitruk, Andrei V.
1 Drăgan, Vasile
1 Festa, Adriano
1 Gaubert, Stéphane
1 Gaudrat, Véronique F.
1 Granato, Giovanni
1 Gregorutti, Baptiste
1 Guibaud, Th.
1 Guilbaud, Thérèse
1 Hadikhanloo, Saeed
1 Jaisson, Pascal
1 Ketfi-Cherif, Ahmed
1 Lebelle, Marc
1 Lobo, Miguel Sousa
1 Lotito, Pablo A.
1 Ottenwaelter, Élisabeth
1 Panier, Eliane R.
1 Paraisy, Ruben
1 Philpott, Andrew B.
1 Potra, Florian-Alexandru
1 Ramírez C., Héctor
1 Rébai, Raja
1 Rommel, Cédric
1 Saguez, Christian
1 Seguret, Adrien
1 Serea, Oana-Silvia
1 Sulem, Agnès
1 Talbot, Christophe
1 Tan, Xiaolu
1 Tits, André Leon
1 Trélat, Emmanuel
1 Trovato, Vincenzo
1 Veyrat, Sébastien
1 von Wissel, Dirk
1 Wahid, F.
1 Wan, Cheng
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Serials

18 SIAM Journal on Control and Optimization
11 Mathematical Programming. Series A. Series B
8 Applied Mathematics and Optimization
6 Journal of Optimization Theory and Applications
6 SIAM Journal on Optimization
5 Mathematics of Operations Research
5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 SIAM Journal on Numerical Analysis
3 SIAM Journal on Applied Mathematics
3 Universitext
2 Control and Cybernetics
2 Numerical Functional Analysis and Optimization
2 Journal of Convex Analysis
2 Optimization Methods & Software
2 Optimization and Engineering
2 RAIRO. Operations Research
2 Set-Valued and Variational Analysis
2 Annals of the Academy of Romanian Scientists. Mathematics and its Applications
1 IMA Journal of Numerical Analysis
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Biology
1 Mathematical Biosciences
1 Mathematics of Computation
1 Analele Științifice ale Universității Al. I. Cuza din Iași. (Serie Nouă.) Secțiunea Ia. Matematică-Informatică
1 Journal of Differential Equations
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerische Mathematik
1 RAIRO. Recherche Opérationnelle
1 Transactions of the American Mathematical Society
1 Optimal Control Applications & Methods
1 Large Scale Systems
1 Systems & Control Letters
1 Stochastic Analysis and Applications
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Optimization
1 Revista de Matemáticas Aplicadas
1 Annals of Operations Research
1 Journal of Global Optimization
1 European Journal of Operational Research
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Review
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Bulletin de la Direction des Études et Recherches. Série C
1 Computational Optimization and Applications
1 Computational and Applied Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Mathematical Reports
1 Stochastics and Dynamics
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 ISNM. International Series of Numerical Mathematics
1 Mathématiques & Applications (Berlin)
1 Monografías del Instituto de Matemática y Ciencias Afines
1 Mathematical Modelling of Natural Phenomena
1 SIAM Journal on Financial Mathematics
1 Matapli
1 Numerical Algebra, Control and Optimization
1 Mathematical Control and Related Fields
1 Springer Series in Operations Research

Publications by Year

Citations contained in zbMATH Open

115 Publications have been cited 2,816 times in 2,236 Documents Cited by Year
Perturbation analysis of optimization problems. Zbl 0966.49001
Bonnans, J. Frédéric; Shapiro, Alexander
2000
Numerical optimization. Theoretical and practical aspects. Transl. from the French. 2nd reviseded. Zbl 1108.65060
Bonnans, J. Frédéric; Gilbert, J. Charles; Lemaréchal, Claude; Sagastizábal, Claudia A.
198
2006
Perturbation analysis of second-order cone programming problems. Zbl 1124.90039
Bonnans, J. Frédéric; Ramírez C., Héctor
92
2005
Second order optimality conditions based on parabolic second order tangent sets. Zbl 0990.90127
Bonnans, J. Frédéric; Cominetti, Roberto; Shapiro, Alexander
83
1999
Local analysis of Newton-type methods for variational inequalities and nonlinear programming. Zbl 0809.90115
Bonnans, J. Frédéric
67
1994
Optimization problems with perturbations: A guided tour. Zbl 0915.49021
Bonnans, J. Frédéric; Shapiro, Alexander
63
1998
Avoiding the Maratos effect by means of a nonmonotone line search. II: Inequality constrained problems — feasible iterates. Zbl 0763.65042
Bonnans, J. Frédéric; Panier, Eliane R.; Tits, André L.; Zhou, Jian L.
40
1992
Second-order analysis for control constrained optimal control problems of semilinear elliptic systems. Zbl 0917.49020
Bonnans, J. F.
40
1998
A family of variable metric proximal methods. Zbl 0832.90102
Bonnans, J. F.; Gilbert, J. Ch.; Lemaréchal, C.; Sagastizábal, C. A.
38
1995
An extension of Pontryagin’s principle for state-constrained optimal control of semilinear elliptic equations and variational inequalities. Zbl 0821.49018
Bonnans, Frédéric; Casas, Eduardo
36
1995
Numerical optimization. Theoretical and practical aspects. Transl. from the French. Zbl 1014.65045
Bonnans, J. Frédéric; Gilbert, J. Charles; Lemaréchal, Claude; Sagastizábal, Claudia A.
36
2003
Consistency of generalized finite difference schemes for the stochastic HJB equation. Zbl 1130.49307
Bonnans, J. Frédéric; Zidani, Housnaa
36
2003
Optimal control problems with partially polyhedric constraints. Zbl 0945.49020
Bonnans, J. Frédéric; Zidani, Housnaa
34
1999
Quadratic order conditions for bang-singular extremals. Zbl 1252.49028
Aronna, M. Soledad; Bonnans, J. Frédéric; Dmitruk, Andrei V.; Lotito, Pablo A.
33
2012
A fast algorithm for the two dimensional HJB equation of stochastic control. Zbl 1130.93433
Bonnans, J. Frédéric; Ottenwaelter, Élisabeth; Zidani, Housnaa
33
2004
Pontryagin’s principle in the control of semilinear elliptic variational inequalities. Zbl 0728.49003
Bonnans, J. F.; Tiba, D.
33
1991
Second-order analysis for optimal control problems with pure state constraints and mixed control-state constraints. Zbl 1158.49023
Bonnans, J. Frédéric; Hermant, Audrey
32
2009
Characterization of local quadratic growth for strong minima in the optimal control of semi-linear elliptic equations. Zbl 1297.49004
Bayen, Térence; Bonnans, J. Frédéric; Silva, Francisco J.
30
2014
First and second order necessary conditions for stochastic optimal control problems. Zbl 1244.49045
Bonnans, J. Frédéric; Silva, Francisco J.
28
2012
Computation of order conditions for symplectic partitioned Runge-Kutta schemes with application to optimal control. Zbl 1112.65063
Bonnans, J. Frédéric; Laurent-Varin, Julien
27
2006
A trust region interior point algorithm for linearly constrained optimization. Zbl 0899.90146
Bonnans, J. Frédéric; Pola, Cecilia
23
1997
Convergence of interior point algorithms for the monotone linear complementarity problem. Zbl 0846.90109
Bonnans, J. Frédéric; Gonzaga, Clovis C.
22
1996
Optimal control of semilinear multistate systems with state constraints. Zbl 0667.49014
Bonnans, Joseph Frederic; Casas, Eduardo
22
1989
Optimal control of a parabolic equation with time-dependent state constraints. Zbl 1208.49024
Bonnans, J. Frédéric; Jaisson, Pascal
20
2010
Numerical optimization. Theoretical and practice aspects. (Optimisation numérique. Aspects théoretiques et pratiques.) Zbl 0952.65044
Bonnans, Frédéric J.; Gilbert, Jean Charles; Lemaréchal, Claude; Sagastizábal, Claudia
20
1997
A shooting algorithm for optimal control problems with singular Arcs. Zbl 1275.49045
Soledad Aronna, M.; Frédéric Bonnans, J.; Martinon, Pierre
20
2013
Second-order sufficiency and quadratic growth for nonisolated minima. Zbl 0846.90095
Bonnans, Joseph Frédéric; Ioffe, Alexander
19
1995
No-gap second-order optimality conditions for optimal control problems with a single state constraint and control. Zbl 1167.49021
Bonnans, J. Frédéric; Hermant, Audrey
19
2009
Sensitivity analysis of optimization problems under second order regular constraints. Zbl 0977.90053
Bonnans, J. Frédéric; Cominetti, Roberto; Shapiro, Alexander
19
1998
Schauder estimates for a class of potential mean field games of controls. Zbl 1468.91016
Bonnans, J. Frédéric; Hadikhanloo, Saeed; Pfeiffer, Laurent
17
2021
First- and second-order optimality conditions for optimal control problems of state constrained integral equations. Zbl 1354.49053
Bonnans, J. Frédéric; de la Vega, Constanza; Dupuis, Xavier
14
2013
Well-posedness of the shooting algorithm for state constrained optimal control problems with a single constraint and control. Zbl 1251.49036
Bonnans, J. Frédéric; Hermant, Audrey
13
2007
Error estimates for the Euler discretization of an optimal control problem with first-order state constraints. Zbl 1394.49029
Bonnans, J. Frédéric; Festa, Adriano
13
2017
Second-order analysis of optimal control problems with control and initial-final state constraints. Zbl 1207.49020
Bonnans, J. Frédéric; Osmolovskiĭ, N. P.
12
2010
Second-order necessary conditions in Pontryagin form for optimal control problems. Zbl 1326.49028
Bonnans, J. Frédéric; Dupuis, Xavier; Pfeiffer, Laurent
12
2015
A model-free no-arbitrage price bound for variance options. Zbl 1272.93135
Bonnans, J.  Frédéric; Tan, Xiaolu
12
2013
Stability and sensitivity analysis for optimal control problems with a first-order state constraint and application to continuation methods. Zbl 1148.49026
Bonnans, Joseph Frédéric; Hermant, Audrey
12
2008
Sequential quadratic programming with penalization of the displacement. Zbl 0841.90110
Bonnans, J. F.; Launay, G.
11
1995
Pseudopower expansion of solutions of generalized equations and constrained optimization problems. Zbl 0842.65044
Bonnans, Joseph Frédéric; Sulem, Agnès
11
1995
Optimal structure of gas transmission trunklines. Zbl 1272.90005
André, Jean; Bonnans, J. Frédéric
11
2011
Singular arcs in the generalized Goddard’s problem. Zbl 1159.49027
Bonnans, F.; Martinon, P.; Trélat, E.
11
2009
On an algorithm for optimal control using Pontryagin’s maximum principle. Zbl 0592.49018
Bonnans, Joseph Frédéric
11
1986
Contrôle de systèmes elliptiques semilinéaires comportant des contraintes sur l’état. (Control of semilinear elliptic systems with state constraints). Zbl 0656.49011
Bonnans, J. F.; Casas, E.
11
1988
Energy contracts management by stochastic programming techniques. Zbl 1254.90132
Bonnans, J. Frédéric; Cen, Zhihao; Christel, Thibault
10
2012
Un principe de Pontryagine pour le contrôle des systèmes semilinéaires elliptiques. (A Pontryagin principle for control of semilinear elliptic systems). Zbl 0742.93035
Bonnans, Joseph Frédéric; Casas, Eduardo
10
1991
Optimization of capacity expansion planning for gas transportation networks. Zbl 1176.90045
Andre, Jean; Bonnans, Frédéric; Cornibert, Laurent
10
2009
Second order analysis of control-affine problems with scalar state constraint. Zbl 1352.49020
Aronna, M. S.; Bonnans, J. F.; Goh, B. S.
10
2016
Revisiting the analysis of optimal control problems with several state constraints. Zbl 1242.49046
Bonnans, J.; Hermant, A.
9
2009
Using logarithmic penalties in the shooting algorithm for optimal control problems. Zbl 1073.49022
Bonnans, J. F.; Guibaud, Th.
9
2003
MIDAS: a mixed integer dynamic approximation scheme. Zbl 1467.90027
Philpott, A. B.; Wahid, F.; Bonnans, J. F.
9
2020
Optimal control of state constrained integral equations. Zbl 1221.49039
Bonnans, Joseph Frédéric; Sánchez Fernández de la Vega, Constanza
8
2010
Nondegeneracy and quantitative stability of parameterized optimization problems with multiple solutions. Zbl 0912.90266
Bonnans, J. Frédéric; Shapiro, Alexander
8
1998
Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations. Zbl 1454.49028
Aronna, M. Soledad; Bonnans, J. Frédéric; Kröner, Axel
8
2018
Optimization of running strategies based on anaerobic energy and variations of velocity. Zbl 1307.49002
Aftalion, Amandine; Bonnans, J. Frédéric
8
2014
Error estimates for stochastic differential games: the adverse stopping case. Zbl 1130.91014
Bonnans, J. Frédéric; Maroso, Stefania; Zidani, Housnaa
8
2006
Error estimates for a stochastic impulse control problem. Zbl 1127.93057
Bonnans, Frederic; Maroso, Stefania; Zidani, Housnaa
6
2007
Sensitivity analysis of parametrized programs under cone constraints. Zbl 0766.90076
Shapiro, A.; Bonnans, J. F.
6
1992
On the convergence of the iteration sequence of infeasible path following algorithms for linear complementarity problems. Zbl 0883.90117
Bonnans, J. Frédéric; Potra, Florian A.
6
1997
The trust region affine interior point algorithm for convex and nonconvex quadratic programming. Zbl 0835.90061
Bonnans, J. F.; Bouhtou, M.
6
1995
Quadratic growth and stability in convex programming problems with multiple solutions. Zbl 0839.90090
Bonnans, J. Frédéric; Ioffe, Alexander D.
6
1995
Mathematical study of very high voltage power networks. I: The optimal DC power flow problem. Zbl 0922.49019
Bonnans, J. Frédéric
6
1997
Asymptotic expansion for the solutions of control constrained semilinear elliptic problems with interior penalties. Zbl 1323.49002
Bonnans, J. Frédéric; Silva, Francisco J.
6
2011
Convex and stochastic optimization. Zbl 1417.90001
Bonnans, J. Frédéric
5
2019
Fast convergence of the simplified largest step path following algorithm. Zbl 0881.90114
Gonzaga, Clovis C.; Bonnans, J. Frédéric
5
1997
Perturbed optimization in Banach spaces. I: A general theory based on a weak directional constraint qualification. Zbl 0862.49022
Bonnans, J. Frédéric; Cominetti, Roberto
5
1996
On the stability of sets defined by a finite number of equalities and inequalities. Zbl 0794.93096
Bonnans, J. F.; Launay, G.
5
1991
Directional derivatives of optimal solutions in smooth nonlinear programming. Zbl 0792.90064
Bonnans, J. F.
5
1992
Optimal control of PDEs in a complex space setting: application to the Schrödinger equation. Zbl 1412.49051
Aronna, M. Soledad; Bonnans, Joseph Frédéric; Kröner, Axel
5
2019
A general optimal multiple stopping problem with an application to swing options. Zbl 1327.60098
Ben Latifa, Imène; Bonnans, Joseph Frédéric; Mnif, Mohamed
5
2015
Mathematical study of very high voltage power networks. III: The optimal AC power flow problem. Zbl 0973.49021
Bonnans, J. Frédéric
5
2000
On the choice of the function spaces for some state-constrained control problems. Zbl 0589.49016
Bonnans, J. F.; Casas, E.
5
1985
Mathematical study of very high voltage power networks. II: The AC power flow problem. Zbl 0922.49020
Bonnans, J. Frédéric
5
1998
Optimal control of state constrained age-structured problems. Zbl 1446.49019
Bonnans, J. Frédéric; Gianatti, Justina
5
2020
Lipschitz solutions of optimal control problems with state constraints of arbitrary order. Zbl 1225.49023
Bonnans, J. Frédéric
4
2010
A boundary Pontryagin’s principle for the optimal control of state- constrained elliptic systems. Zbl 0769.49017
Bonnans, J. Frédéric; Casas, Eduardo
4
1992
Control problems with mixed constraints and application to an optimal investment problem. Zbl 1212.49037
Bonnans, J. F.; Tiba, D.
4
2009
No-gap second-order optimality conditions for optimal control problems with a single state constraint and control. (Conditions d’optimalité du second ordre nécessaires ou suffisantes pour les problèmes de commande optimale avec une contrainte sur l’état et une commande scalaires.) Zbl 1101.49020
Bonnans, J. Frédéric; Hermant, Audrey
4
2006
Second-order sufficient conditions for strong solutions to optimal control problems. Zbl 1293.49039
Bonnans, J. Frédéric; Dupuis, Xavier; Pfeiffer, Laurent
4
2014
A semistrong sufficiency condition for optimality in nonconvex programming and its connection to the perturbation problem. Zbl 0631.90065
Bonnans, J. F.
4
1989
Optimal control techniques based on infection age for the study of the COVID-19 epidemic. Zbl 1467.92176
Bonnans, J. Frédéric; Gianatti, Justina
4
2020
Quadratic growth conditions in optimal control problems. Zbl 1235.49042
Bonnans, J. Frédéric; Osmolovskii, N. P.
3
2010
Characterization of a local quadratic growth of the Hamiltonian for control constrained optimal control problems. Zbl 1264.49020
Bonnans, J. Frédéric; Osmolovskii, Nikolai P.
3
2012
Perturbed optimization in Banach spaces. II: A theory based on a strong directional constraint qualification. Zbl 0862.49023
Bonnans, J. Frédéric; Cominetti, Roberto
3
1996
Expansion of exact and approximate solutions in nonlinear programming. Zbl 0769.90070
Bonnans, J. Frédéric; Ioffe, Alexander D.; Shapiro, Alexander
3
1992
On the choice of the function spaces for some state-constrained control problems. Zbl 0572.49009
Bonnans, J. F.; Casas, E.
3
1985
Parametric optimization of hybrid car engines. Zbl 1072.90573
Bonnans, Joseph Frédéric; Guilbaud, Thérèse; Ketfi-Cherif, Ahmed; von Wissel, Dirk; Sagastizábal, Claudia; Zidani, Housnaa
3
2004
Optimal control of a semilinear parabolic equation with singular arcs. Zbl 1301.49053
Bonnans, J. Frédéric
3
2014
Sensitivity analysis of energy contracts by stochastic programming techniques. Zbl 1269.90070
Bonnans, J. Frédéric; Cen, Zhihao; Christel, Thibault
3
2012
Quelques méthodes pour le contrôle optimal de problèmes comportant des contraintes sur l’état. (Some methods for optimal control of state constrained problems). Zbl 0614.49019
Bonnans, J. F.; Casas, E.
3
1986
Monotone and second order consistent scheme for the two dimensional Pucci equation. Zbl 1475.65164
Bonnans, Joseph Frédéric; Bonnet, Guillaume; Mirebeau, Jean-Marie
3
2021
Revisiting moment-closure methods with heterogeneous multiscale population models. Zbl 1497.92207
Lunz, Davin; Bonnans, J. Frédéric; Ruess, Jakob
3
2022
Perturbed optimization in Banach spaces. III: Semi-infinite optimization. Zbl 0872.49008
Bonnans, J. Frédéric; Cominetti, Roberto
2
1996
Control and optimization of dynamical systems. (Commande et optimisation de systèmes dynamiques.) Zbl 1229.37001
Bonnans, Frédéric; Rouchon, Pierre
2
2005
Fast linear algebra for multiarc trajectory optimization. Zbl 1105.49037
Bérend, Nicolas; Bonnans, J. Frédéric; Laurent-Varin, Julien; Haddou, Mounir; Talbot, Christophe
2
2006
Fast computation of the leastcore and prenucleolus of cooperative games. Zbl 1154.91317
Bonnans, Joseph Frédéric; André, Matthieu
2
2008
Error estimates for the logarithmic barrier method in linear quadratic stochastic optimal control problems. Zbl 1250.93118
Bonnans, J. Frédéric; Silva, Francisco J.
2
2012
Asymptotic expansions for interior penalty solutions of control constrained linear-quadratic problems. Zbl 1252.49055
Álvarez, Felipe; Bolte, Jérôme; Bonnans, J. Frédéric; Silva, Francisco J.
2
2012
Correction to: “Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations”. Zbl 1447.49037
Aronna, M. Soledad; Bonnans, J. Frédéric; Kröner, Axel
2
2018
An introduction to Newton type algorithms for nonlinearly constrained optimization problems. Zbl 0683.90075
Bonnans, Joseph Frédéric
2
1989
Asymptotic admissibility of the unit stepsize in exact penalty methods. Zbl 0678.90068
Bonnans, Joseph Frédéric
2
1989
Decomposition of convex high dimensional aggregative stochastic control problems. Zbl 1512.93153
Seguret, Adrien; Alasseur, Clemence; Bonnans, J. Frédéric; De Paola, Antonio; Oudjane, Nadia; Trovato, Vincenzo
1
2023
Discrete potential mean field games: duality and numerical resolution. Zbl 1527.49030
Bonnans, J. Frédéric; Lavigne, Pierre; Pfeiffer, Laurent
1
2023
Revisiting moment-closure methods with heterogeneous multiscale population models. Zbl 1497.92207
Lunz, Davin; Bonnans, J. Frédéric; Ruess, Jakob
3
2022
Schauder estimates for a class of potential mean field games of controls. Zbl 1468.91016
Bonnans, J. Frédéric; Hadikhanloo, Saeed; Pfeiffer, Laurent
17
2021
Monotone and second order consistent scheme for the two dimensional Pucci equation. Zbl 1475.65164
Bonnans, Joseph Frédéric; Bonnet, Guillaume; Mirebeau, Jean-Marie
3
2021
Second order monotone finite differences discretization of linear anisotropic differential operators. Zbl 1483.65169
Bonnans, J. Frédéric; Bonnet, Guillaume; Mirebeau, Jean-Marie
2
2021
State constrained control-affine parabolic problems. II: Second order sufficient optimality conditions. Zbl 1465.49003
Aronna, M. Soledad; Bonnans, J. Frédéric; Kröner, Axel
2
2021
Discrete-time mean field games with risk-averse agents. Zbl 1467.91011
Bonnans, J. Frédéric; Lavigne, Pierre; Pfeiffer, Laurent
1
2021
MIDAS: a mixed integer dynamic approximation scheme. Zbl 1467.90027
Philpott, A. B.; Wahid, F.; Bonnans, J. F.
9
2020
Optimal control of state constrained age-structured problems. Zbl 1446.49019
Bonnans, J. Frédéric; Gianatti, Justina
5
2020
Optimal control techniques based on infection age for the study of the COVID-19 epidemic. Zbl 1467.92176
Bonnans, J. Frédéric; Gianatti, Justina
4
2020
Convex and stochastic optimization. Zbl 1417.90001
Bonnans, J. Frédéric
5
2019
Optimal control of PDEs in a complex space setting: application to the Schrödinger equation. Zbl 1412.49051
Aronna, M. Soledad; Bonnans, Joseph Frédéric; Kröner, Axel
5
2019
On the time discretization of stochastic optimal control problems: the dynamic programming approach. Zbl 1447.93373
Bonnans, Joseph Frédéric; Gianatti, Justina; Silva, Francisco J.
2
2019
Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations. Zbl 1454.49028
Aronna, M. Soledad; Bonnans, J. Frédéric; Kröner, Axel
8
2018
Correction to: “Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations”. Zbl 1447.49037
Aronna, M. Soledad; Bonnans, J. Frédéric; Kröner, Axel
2
2018
Error estimates for the Euler discretization of an optimal control problem with first-order state constraints. Zbl 1394.49029
Bonnans, J. Frédéric; Festa, Adriano
13
2017
Second order analysis of control-affine problems with scalar state constraint. Zbl 1352.49020
Aronna, M. S.; Bonnans, J. F.; Goh, B. S.
10
2016
Numerical methods for an optimal multiple stopping problem. Zbl 1350.65068
Latifa, Imène Ben; Bonnans, Joseph Fréderic; Mnif, Mohamed
1
2016
Second-order necessary conditions in Pontryagin form for optimal control problems. Zbl 1326.49028
Bonnans, J. Frédéric; Dupuis, Xavier; Pfeiffer, Laurent
12
2015
A general optimal multiple stopping problem with an application to swing options. Zbl 1327.60098
Ben Latifa, Imène; Bonnans, Joseph Frédéric; Mnif, Mohamed
5
2015
Operations research. Mathematical aspects and applications. (Recherche opérationnelle. Aspects mathématiques et applications.) Zbl 1333.90001
Bonnans, Frédéric; Gaubert, Stéphane
1
2015
Characterization of local quadratic growth for strong minima in the optimal control of semi-linear elliptic equations. Zbl 1297.49004
Bayen, Térence; Bonnans, J. Frédéric; Silva, Francisco J.
30
2014
Optimization of running strategies based on anaerobic energy and variations of velocity. Zbl 1307.49002
Aftalion, Amandine; Bonnans, J. Frédéric
8
2014
Second-order sufficient conditions for strong solutions to optimal control problems. Zbl 1293.49039
Bonnans, J. Frédéric; Dupuis, Xavier; Pfeiffer, Laurent
4
2014
Optimal control of a semilinear parabolic equation with singular arcs. Zbl 1301.49053
Bonnans, J. Frédéric
3
2014
A shooting algorithm for optimal control problems with singular Arcs. Zbl 1275.49045
Soledad Aronna, M.; Frédéric Bonnans, J.; Martinon, Pierre
20
2013
First- and second-order optimality conditions for optimal control problems of state constrained integral equations. Zbl 1354.49053
Bonnans, J. Frédéric; de la Vega, Constanza; Dupuis, Xavier
14
2013
A model-free no-arbitrage price bound for variance options. Zbl 1272.93135
Bonnans, J.  Frédéric; Tan, Xiaolu
12
2013
Sensitivity analysis for relaxed optimal control problems with final-state constraints. Zbl 1281.49024
Frédéric Bonnans, J.; Pfeiffer, Laurent; Serea, Oana Silvia
2
2013
Quadratic order conditions for bang-singular extremals. Zbl 1252.49028
Aronna, M. Soledad; Bonnans, J. Frédéric; Dmitruk, Andrei V.; Lotito, Pablo A.
33
2012
First and second order necessary conditions for stochastic optimal control problems. Zbl 1244.49045
Bonnans, J. Frédéric; Silva, Francisco J.
28
2012
Energy contracts management by stochastic programming techniques. Zbl 1254.90132
Bonnans, J. Frédéric; Cen, Zhihao; Christel, Thibault
10
2012
Characterization of a local quadratic growth of the Hamiltonian for control constrained optimal control problems. Zbl 1264.49020
Bonnans, J. Frédéric; Osmolovskii, Nikolai P.
3
2012
Sensitivity analysis of energy contracts by stochastic programming techniques. Zbl 1269.90070
Bonnans, J. Frédéric; Cen, Zhihao; Christel, Thibault
3
2012
Error estimates for the logarithmic barrier method in linear quadratic stochastic optimal control problems. Zbl 1250.93118
Bonnans, J. Frédéric; Silva, Francisco J.
2
2012
Asymptotic expansions for interior penalty solutions of control constrained linear-quadratic problems. Zbl 1252.49055
Álvarez, Felipe; Bolte, Jérôme; Bonnans, J. Frédéric; Silva, Francisco J.
2
2012
Optimal structure of gas transmission trunklines. Zbl 1272.90005
André, Jean; Bonnans, J. Frédéric
11
2011
Asymptotic expansion for the solutions of control constrained semilinear elliptic problems with interior penalties. Zbl 1323.49002
Bonnans, J. Frédéric; Silva, Francisco J.
6
2011
Optimal control of a parabolic equation with time-dependent state constraints. Zbl 1208.49024
Bonnans, J. Frédéric; Jaisson, Pascal
20
2010
Second-order analysis of optimal control problems with control and initial-final state constraints. Zbl 1207.49020
Bonnans, J. Frédéric; Osmolovskiĭ, N. P.
12
2010
Optimal control of state constrained integral equations. Zbl 1221.49039
Bonnans, Joseph Frédéric; Sánchez Fernández de la Vega, Constanza
8
2010
Lipschitz solutions of optimal control problems with state constraints of arbitrary order. Zbl 1225.49023
Bonnans, J. Frédéric
4
2010
Quadratic growth conditions in optimal control problems. Zbl 1235.49042
Bonnans, J. Frédéric; Osmolovskii, N. P.
3
2010
Second-order analysis for optimal control problems with pure state constraints and mixed control-state constraints. Zbl 1158.49023
Bonnans, J. Frédéric; Hermant, Audrey
32
2009
No-gap second-order optimality conditions for optimal control problems with a single state constraint and control. Zbl 1167.49021
Bonnans, J. Frédéric; Hermant, Audrey
19
2009
Singular arcs in the generalized Goddard’s problem. Zbl 1159.49027
Bonnans, F.; Martinon, P.; Trélat, E.
11
2009
Optimization of capacity expansion planning for gas transportation networks. Zbl 1176.90045
Andre, Jean; Bonnans, Frédéric; Cornibert, Laurent
10
2009
Revisiting the analysis of optimal control problems with several state constraints. Zbl 1242.49046
Bonnans, J.; Hermant, A.
9
2009
Control problems with mixed constraints and application to an optimal investment problem. Zbl 1212.49037
Bonnans, J. F.; Tiba, D.
4
2009
Stability and sensitivity analysis for optimal control problems with a first-order state constraint and application to continuation methods. Zbl 1148.49026
Bonnans, Joseph Frédéric; Hermant, Audrey
12
2008
Fast computation of the leastcore and prenucleolus of cooperative games. Zbl 1154.91317
Bonnans, Joseph Frédéric; André, Matthieu
2
2008
Well-posedness of the shooting algorithm for state constrained optimal control problems with a single constraint and control. Zbl 1251.49036
Bonnans, J. Frédéric; Hermant, Audrey
13
2007
Error estimates for a stochastic impulse control problem. Zbl 1127.93057
Bonnans, Frederic; Maroso, Stefania; Zidani, Housnaa
6
2007
Numerical optimization. Theoretical and practical aspects. Transl. from the French. 2nd reviseded. Zbl 1108.65060
Bonnans, J. Frédéric; Gilbert, J. Charles; Lemaréchal, Claude; Sagastizábal, Claudia A.
198
2006
Computation of order conditions for symplectic partitioned Runge-Kutta schemes with application to optimal control. Zbl 1112.65063
Bonnans, J. Frédéric; Laurent-Varin, Julien
27
2006
Error estimates for stochastic differential games: the adverse stopping case. Zbl 1130.91014
Bonnans, J. Frédéric; Maroso, Stefania; Zidani, Housnaa
8
2006
No-gap second-order optimality conditions for optimal control problems with a single state constraint and control. (Conditions d’optimalité du second ordre nécessaires ou suffisantes pour les problèmes de commande optimale avec une contrainte sur l’état et une commande scalaires.) Zbl 1101.49020
Bonnans, J. Frédéric; Hermant, Audrey
4
2006
Fast linear algebra for multiarc trajectory optimization. Zbl 1105.49037
Bérend, Nicolas; Bonnans, J. Frédéric; Laurent-Varin, Julien; Haddou, Mounir; Talbot, Christophe
2
2006
Perturbation analysis of second-order cone programming problems. Zbl 1124.90039
Bonnans, J. Frédéric; Ramírez C., Héctor
92
2005
Control and optimization of dynamical systems. (Commande et optimisation de systèmes dynamiques.) Zbl 1229.37001
Bonnans, Frédéric; Rouchon, Pierre
2
2005
A fast algorithm for the two dimensional HJB equation of stochastic control. Zbl 1130.93433
Bonnans, J. Frédéric; Ottenwaelter, Élisabeth; Zidani, Housnaa
33
2004
Parametric optimization of hybrid car engines. Zbl 1072.90573
Bonnans, Joseph Frédéric; Guilbaud, Thérèse; Ketfi-Cherif, Ahmed; von Wissel, Dirk; Sagastizábal, Claudia; Zidani, Housnaa
3
2004
Numerical optimization. Theoretical and practical aspects. Transl. from the French. Zbl 1014.65045
Bonnans, J. Frédéric; Gilbert, J. Charles; Lemaréchal, Claude; Sagastizábal, Claudia A.
36
2003
Consistency of generalized finite difference schemes for the stochastic HJB equation. Zbl 1130.49307
Bonnans, J. Frédéric; Zidani, Housnaa
36
2003
Using logarithmic penalties in the shooting algorithm for optimal control problems. Zbl 1073.49022
Bonnans, J. F.; Guibaud, Th.
9
2003
Discrete approximations of the Hamilton-Jacobi equation for an optimal control problem of a differential-algebraic system. Zbl 1177.49045
Bonnans, J. Frédéric; Chartier, Philippe; Zidani, Housnaa
1
2003
The obstacle problem for water tanks. Zbl 1034.49037
Bonnans, J. F.; Bessi Fourati, R.; Smaoui, H.
1
2003
Perturbation analysis of optimization problems. Zbl 0966.49001
Bonnans, J. Frédéric; Shapiro, Alexander
2000
Mathematical study of very high voltage power networks. III: The optimal AC power flow problem. Zbl 0973.49021
Bonnans, J. Frédéric
5
2000
Second order optimality conditions based on parabolic second order tangent sets. Zbl 0990.90127
Bonnans, J. Frédéric; Cominetti, Roberto; Shapiro, Alexander
83
1999
Optimal control problems with partially polyhedric constraints. Zbl 0945.49020
Bonnans, J. Frédéric; Zidani, Housnaa
34
1999
Optimization problems with perturbations: A guided tour. Zbl 0915.49021
Bonnans, J. Frédéric; Shapiro, Alexander
63
1998
Second-order analysis for control constrained optimal control problems of semilinear elliptic systems. Zbl 0917.49020
Bonnans, J. F.
40
1998
Sensitivity analysis of optimization problems under second order regular constraints. Zbl 0977.90053
Bonnans, J. Frédéric; Cominetti, Roberto; Shapiro, Alexander
19
1998
Nondegeneracy and quantitative stability of parameterized optimization problems with multiple solutions. Zbl 0912.90266
Bonnans, J. Frédéric; Shapiro, Alexander
8
1998
Mathematical study of very high voltage power networks. II: The AC power flow problem. Zbl 0922.49020
Bonnans, J. Frédéric
5
1998
A trust region interior point algorithm for linearly constrained optimization. Zbl 0899.90146
Bonnans, J. Frédéric; Pola, Cecilia
23
1997
Numerical optimization. Theoretical and practice aspects. (Optimisation numérique. Aspects théoretiques et pratiques.) Zbl 0952.65044
Bonnans, Frédéric J.; Gilbert, Jean Charles; Lemaréchal, Claude; Sagastizábal, Claudia
20
1997
On the convergence of the iteration sequence of infeasible path following algorithms for linear complementarity problems. Zbl 0883.90117
Bonnans, J. Frédéric; Potra, Florian A.
6
1997
Mathematical study of very high voltage power networks. I: The optimal DC power flow problem. Zbl 0922.49019
Bonnans, J. Frédéric
6
1997
Fast convergence of the simplified largest step path following algorithm. Zbl 0881.90114
Gonzaga, Clovis C.; Bonnans, J. Frédéric
5
1997
Convergence of interior point algorithms for the monotone linear complementarity problem. Zbl 0846.90109
Bonnans, J. Frédéric; Gonzaga, Clovis C.
22
1996
Perturbed optimization in Banach spaces. I: A general theory based on a weak directional constraint qualification. Zbl 0862.49022
Bonnans, J. Frédéric; Cominetti, Roberto
5
1996
Perturbed optimization in Banach spaces. II: A theory based on a strong directional constraint qualification. Zbl 0862.49023
Bonnans, J. Frédéric; Cominetti, Roberto
3
1996
Perturbed optimization in Banach spaces. III: Semi-infinite optimization. Zbl 0872.49008
Bonnans, J. Frédéric; Cominetti, Roberto
2
1996
A family of variable metric proximal methods. Zbl 0832.90102
Bonnans, J. F.; Gilbert, J. Ch.; Lemaréchal, C.; Sagastizábal, C. A.
38
1995
An extension of Pontryagin’s principle for state-constrained optimal control of semilinear elliptic equations and variational inequalities. Zbl 0821.49018
Bonnans, Frédéric; Casas, Eduardo
36
1995
Second-order sufficiency and quadratic growth for nonisolated minima. Zbl 0846.90095
Bonnans, Joseph Frédéric; Ioffe, Alexander
19
1995
Sequential quadratic programming with penalization of the displacement. Zbl 0841.90110
Bonnans, J. F.; Launay, G.
11
1995
Pseudopower expansion of solutions of generalized equations and constrained optimization problems. Zbl 0842.65044
Bonnans, Joseph Frédéric; Sulem, Agnès
11
1995
The trust region affine interior point algorithm for convex and nonconvex quadratic programming. Zbl 0835.90061
Bonnans, J. F.; Bouhtou, M.
6
1995
Quadratic growth and stability in convex programming problems with multiple solutions. Zbl 0839.90090
Bonnans, J. Frédéric; Ioffe, Alexander D.
6
1995
Local analysis of Newton-type methods for variational inequalities and nonlinear programming. Zbl 0809.90115
Bonnans, J. Frédéric
67
1994
Avoiding the Maratos effect by means of a nonmonotone line search. II: Inequality constrained problems — feasible iterates. Zbl 0763.65042
Bonnans, J. Frédéric; Panier, Eliane R.; Tits, André L.; Zhou, Jian L.
40
1992
Sensitivity analysis of parametrized programs under cone constraints. Zbl 0766.90076
Shapiro, A.; Bonnans, J. F.
6
1992
Directional derivatives of optimal solutions in smooth nonlinear programming. Zbl 0792.90064
Bonnans, J. F.
5
1992
A boundary Pontryagin’s principle for the optimal control of state- constrained elliptic systems. Zbl 0769.49017
Bonnans, J. Frédéric; Casas, Eduardo
4
1992
Expansion of exact and approximate solutions in nonlinear programming. Zbl 0769.90070
Bonnans, J. Frédéric; Ioffe, Alexander D.; Shapiro, Alexander
3
1992
Pontryagin’s principle in the control of semilinear elliptic variational inequalities. Zbl 0728.49003
Bonnans, J. F.; Tiba, D.
33
1991
...and 15 more Documents
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Cited by 2,569 Authors

57 Zhang, Liwei
51 Bonnans, Joseph Frédéric
40 Mordukhovich, Boris S.
28 Izmailov, Alekseĭ F.
28 Yao, Jen-Chih
25 Casas, Eduardo
25 Solodov, Mikhail V.
22 Yang, Xiaoqi
21 Wachsmuth, Gerd
20 Haeser, Gabriel
19 Mehlitz, Patrick
19 Zhou, Jinchuan
18 Arutyunov, Aram Vladimirovic
18 Li, Shengjie
17 Hintermüller, Michael
17 Sagastizábal, Claudia A.
17 Shapiro, Alexander
17 Sun, Defeng
17 Nguyen Dong Yen
16 Osmolovskiĭ, Nikolaĭ Pavlovich
16 Surowiec, Thomas
15 Jian, Jinbao
15 Xu, Huifu
15 Zegeye, Habtu
14 Gfrerer, Helmut
14 Kostyukova, Olga Ivanova
14 Outrata, Jiří V.
14 Sarabi, M. Ebrahim
14 Zhu, Detong
13 Christof, Constantin
13 Frankowska, Hélène
13 Pang, Liping
13 Tröltzsch, Fredi
12 Andreani, Roberto
12 Pan, Shaohua
12 Silva, Francisco J.
12 Song, Wen
12 Tchemisova, Tatiana V.
11 Aronna, María Soledad
11 Guan, Hongbo
11 Guo, Shaoyan
11 Pfeiffer, Laurent
11 Phan Quôc Khánh
11 Thai Doan Chuong
11 Wachsmuth, Daniel
10 Kanzow, Christian
10 Kien, Bui Trong
10 López-Cerdá, Marco Antonio
10 Reich, Simeon
10 Rösch, Arnd
10 Tang, Chunming
10 Ye, Jane J.
10 Zhang, Haisen
10 Zhang, Jie
10 Zhang, Xu
9 Chen, Jein-Shan
9 Dolgopolik, Maxim Vladimirovich
9 Fukushima, Masao
9 Gianatti, Justina
9 Liu, Yong-Jin
9 Meyer, Christian
9 Mirebeau, Jean-Marie
9 Sun, Hailin
9 Tan, Xiaolu
9 Teo, Kok Lay
9 Toh, Kim Chuan
9 Xiao, Xiantao
9 Xiu, Naihua
8 Bednarczuk, Ewa M.
8 De los Reyes, Juan Carlos
8 Ding, Chao
8 Durea, Marius
8 Fukuda, Ellen Hidemi
8 Li, Chong
8 Mito, Leonardo M.
8 Naraghirad, Eskandar
8 Nghia, Tran Thai An
8 Pang, Jong-Shi
8 Potra, Florian-Alexandru
8 Qi, Houduo
8 Ramírez, Héctor C.
8 Touzi, Nizar
8 Tuan, Nguyen Dinh
8 Tung, Nguyen Minh
8 Uderzo, Amos
8 Ulbrich, Michael
8 Van Ackooij, Wim
8 Zhu, Zhibin
8 Zidani, Hasnaa
7 Ali, Bashir
7 Avakov, Evgeniĭ Rachievich
7 Bermúdez, Alfredo
7 Chen, Zhongwen
7 Chieu, Nguyen Huy
7 de Oliveira, Welington Luis
7 Dempe, Stephan
7 Dentcheva, Darinka
7 Fischer, Andreas
7 Gorokhovik, Valentin Vikent’evich
7 Jakobsen, Espen Robstad
...and 2,469 more Authors
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Cited in 320 Serials

186 Journal of Optimization Theory and Applications
151 Mathematical Programming. Series A. Series B
122 SIAM Journal on Optimization
88 Computational Optimization and Applications
78 Optimization
69 Set-Valued and Variational Analysis
67 SIAM Journal on Control and Optimization
62 Journal of Global Optimization
48 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
46 Applied Mathematics and Optimization
42 Optimization Letters
41 Journal of Computational and Applied Mathematics
41 European Journal of Operational Research
39 Journal of Mathematical Analysis and Applications
37 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
31 Applied Mathematics and Computation
30 Optimization Methods & Software
28 Numerical Functional Analysis and Optimization
24 Journal of Industrial and Management Optimization
20 Mathematical Methods of Operations Research
18 Computers & Mathematics with Applications
17 Operations Research Letters
16 Annals of Operations Research
15 Journal of Convex Analysis
15 Mathematical Control and Related Fields
14 Numerische Mathematik
13 Computer Methods in Applied Mechanics and Engineering
13 Systems & Control Letters
13 Journal of Inequalities and Applications
13 Optimization and Engineering
12 Automatica
12 Mathematics of Operations Research
12 SIAM Journal on Numerical Analysis
12 Applied Numerical Mathematics
12 Numerical Algorithms
12 Fixed Point Theory and Applications
11 Acta Mathematica Vietnamica
11 Asia-Pacific Journal of Operational Research
11 The Annals of Applied Probability
11 Computational and Applied Mathematics
10 Journal of Computational Physics
10 Optimal Control Applications & Methods
10 Positivity
9 Journal of Differential Equations
9 Acta Mathematicae Applicatae Sinica. English Series
9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
9 Journal of the Operations Research Society of China
8 Journal of Scientific Computing
8 Applied Mathematical Modelling
8 Linear Algebra and its Applications
8 Journal of Mathematical Imaging and Vision
8 Abstract and Applied Analysis
7 Applicable Analysis
7 Mathematics and Computers in Simulation
7 Top
7 Journal of Fixed Point Theory and Applications
7 Science China. Mathematics
6 Mathematics of Computation
6 Transactions of the American Mathematical Society
6 Neural Computation
6 SIAM Journal on Scientific Computing
6 Acta Mathematica Sinica. English Series
6 Journal of Applied Mathematics
6 Proceedings of the Steklov Institute of Mathematics
5 International Journal of Control
5 Inverse Problems
5 The Annals of Statistics
5 Set-Valued Analysis
5 Journal of Mathematical Sciences (New York)
5 NoDEA. Nonlinear Differential Equations and Applications
5 Discrete and Continuous Dynamical Systems
5 Mathematical Problems in Engineering
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5 Discrete and Continuous Dynamical Systems. Series B
5 Journal of Systems Science and Complexity
5 Journal of Applied Mathematics and Computing
5 4OR
5 Journal of Function Spaces
4 Mathematical Notes
4 Operations Research
4 Rendiconti del Circolo Matemàtico di Palermo. Serie II
4 Journal of Complexity
4 Numerical Methods for Partial Differential Equations
4 Machine Learning
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 SIAM Journal on Mathematical Analysis
4 SIAM Review
4 European Journal of Control
4 Mathematical Finance
4 Vietnam Journal of Mathematics
4 Taiwanese Journal of Mathematics
4 RAIRO. Operations Research
4 Trudy Instituta Matematiki
4 Foundations of Computational Mathematics
4 GAMM-Mitteilungen
4 Numerical Algebra, Control and Optimization
4 EURO Journal on Computational Optimization
3 Computers and Fluids
3 Journal of the Franklin Institute
3 Journal of Mathematical Biology
...and 220 more Serials
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Cited in 51 Fields

1,344 Operations research, mathematical programming (90-XX)
1,069 Calculus of variations and optimal control; optimization (49-XX)
545 Numerical analysis (65-XX)
246 Partial differential equations (35-XX)
171 Operator theory (47-XX)
171 Systems theory; control (93-XX)
131 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
71 Probability theory and stochastic processes (60-XX)
58 Statistics (62-XX)
56 Mechanics of deformable solids (74-XX)
54 Functional analysis (46-XX)
46 Ordinary differential equations (34-XX)
45 Biology and other natural sciences (92-XX)
44 Computer science (68-XX)
43 Real functions (26-XX)
34 Fluid mechanics (76-XX)
32 Global analysis, analysis on manifolds (58-XX)
30 Linear and multilinear algebra; matrix theory (15-XX)
29 Convex and discrete geometry (52-XX)
27 Information and communication theory, circuits (94-XX)
17 General topology (54-XX)
12 Dynamical systems and ergodic theory (37-XX)
11 Mechanics of particles and systems (70-XX)
10 Approximations and expansions (41-XX)
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8 Algebraic geometry (14-XX)
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4 General and overarching topics; collections (00-XX)
4 Combinatorics (05-XX)
4 Measure and integration (28-XX)
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3 Optics, electromagnetic theory (78-XX)
2 History and biography (01-XX)
2 Commutative algebra (13-XX)
2 Nonassociative rings and algebras (17-XX)
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2 Harmonic analysis on Euclidean spaces (42-XX)
2 Manifolds and cell complexes (57-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Mathematics education (97-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
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