Edit Profile Bonnans, Joseph Frédéric Compute Distance To: Compute Author ID: bonnans.joseph-frederic Published as: Bonnans, F.; Bonnans, Frederic; Bonnans, Frédéric; Bonnans, Frédéric J.; Bonnans, J.; Bonnans, J. Frédéric; Bonnans, J. F.; Bonnans, J. Frédéric; Bonnans, Joseph Frederic; Bonnans, Joseph Fréderic; Bonnans, Joseph Frédéric; Frédéric Bonnans, J. Homepage: http://www.cmap.polytechnique.fr/~bonnans/ External Links: MGP Documents Indexed: 132 Publications since 1983, including 9 Books Reviewing Activity: 175 Reviews all top 5 Co-Authors 23 single-authored 11 Casas, Eduardo 8 Shapiro, Alexander 8 Zidani, Housnaa 7 Silva, Francisco J. 6 Aronna, María Soledad 6 Hermant, Audrey 5 Cominetti, Roberto 5 Sagastizábal, Claudia A. 5 Tiba, Dan 4 Gilbert, Jean Charles 4 Ioffe, Alexander Davidovich 4 Kröner, Axel 4 Lemaréchal, Claude 3 Dupuis, Xavier 3 Gabay, Daniel 3 Gianatti, Justina 3 Osmolovskiĭ, Nikolaĭ Pavlovich 3 Pfeiffer, Laurent 2 Ben Latifa, Imène 2 Blanchon, G. 2 Cen, Zhihao 2 Christel, Thibault 2 Dodu, Jean-Claude 2 Gonzaga, Clovis C. 2 Haddou, Mounir 2 Launay, Gaby 2 Laurent-Varin, Julien 2 Lobo, Miguel Sousa 2 Maroso, Stefania 2 Martinon, Pierre 2 Mnif, Mohamed 2 Pola, Cecilia 1 Adam, Soizic 1 Aftalion, Amandine 1 Alvarez, Felipe 1 André, Jean-Marc 1 André, Jean-Michel 1 André, Matthieu A. 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 la Vega, Constanza Sánchez 1 Dmitruk, Andrei V. 1 Festa, Adriano 1 Gaubert, Stéphane 1 Gaudrat, Véronique F. 1 Goh, Bean San 1 Guibaud, Th. 1 Guilbaud, Thérèse 1 Jaisson, Pascal 1 Ketfi-Cherif, Ahmed 1 Lebelle, Marc 1 Lotito, Pablo A. 1 Ottenwaelter, Élisabeth 1 Panier, Eliane R. 1 Paraisy, Ruben 1 Philpott, Andy B. 1 Potra, Florian-Alexandru 1 Ramírez C., Héctor 1 Rébai, Raja 1 Rouchon, Pierre 1 Saguez, Christian 1 Sánchez Fernández de la Vega, Constanza 1 Serea, Oana-Silvia 1 Smaoui, Hichem 1 Sulem, Agnès 1 Talbot, Christophe 1 Tan, Xiaolu 1 Tits, André L. 1 Trélat, Emmanuel 1 Veyrat, Sébastien 1 von Wissel, Dirk 1 Wahid, F. 1 Zhou, Jianli all top 5 Serials 15 SIAM Journal on Control and Optimization 10 Mathematical Programming. Series A. Series B 6 Applied Mathematics and Optimization 6 Journal of Optimization Theory and Applications 5 Mathematics of Operations Research 5 SIAM Journal on Optimization 3 SIAM Journal on Numerical Analysis 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Universitext 2 Control and Cybernetics 2 Numerical Functional Analysis and Optimization 2 SIAM Journal on Applied Mathematics 2 Journal of Convex Analysis 2 Optimization Methods & Software 2 Optimization and Engineering 2 RAIRO. Operations Research 1 IMA Journal of Numerical Analysis 1 Journal of Mathematical Analysis and Applications 1 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. (Serie Nouă.) Secţiunea 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 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 ISNM. International Series of Numerical Mathematics 1 Mathématiques & Applications (Berlin) 1 SIAM Journal on Financial Mathematics 1 Matapli 1 Set-Valued and Variational Analysis 1 Annals of the Academy of Romanian Scientists. Mathematics and its Applications 1 Numerical Algebra, Control and Optimization 1 Mathematical Control and Related Fields all top 5 Fields 91 Calculus of variations and optimal control; optimization (49-XX) 71 Operations research, mathematical programming (90-XX) 26 Numerical analysis (65-XX) 24 Partial differential equations (35-XX) 24 Systems theory; control (93-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Ordinary differential equations (34-XX) 3 Information and communication theory, circuits (94-XX) 2 Probability theory and stochastic processes (60-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 99 Publications have been cited 1,813 times in 1,439 Documents Cited by ▼ Year ▼ Perturbation analysis of optimization problems. Zbl 0966.49001Bonnans, J. Frédéric; Shapiro, Alexander 699 2000 Numerical optimization. Theoretical and practical aspects. Transl. from the French. 2nd reviseded. Zbl 1108.65060Bonnans, J. Frédéric; Gilbert, J. Charles; Lemaréchal, Claude; Sagastizábal, Claudia A. 91 2006 Second order optimality conditions based on parabolic second order tangent sets. Zbl 0990.90127Bonnans, J. Frédéric; Cominetti, Roberto; Shapiro, Alexander 64 1999 Perturbation analysis of second-order cone programming problems. Zbl 1124.90039Bonnans, J. Frédéric; Ramírez C., Héctor 56 2005 Local analysis of Newton-type methods for variational inequalities and nonlinear programming. Zbl 0809.90115Bonnans, J. Frédéric 50 1994 Optimization problems with perturbations: A guided tour. Zbl 0915.49021Bonnans, J. Frédéric; Shapiro, Alexander 42 1998 Avoiding the Maratos effect by means of a nonmonotone line search. II: Inequality constrained problems — feasible iterates. Zbl 0763.65042Bonnans, J. Frédéric; Panier, Eliane R.; Tits, André L.; Zhou, Jian L. 39 1992 Second-order analysis for control constrained optimal control problems of semilinear elliptic systems. Zbl 0917.49020Bonnans, J. F. 31 1998 Pontryagin’s principle in the control of semilinear elliptic variational inequalities. Zbl 0728.49003Bonnans, J. F.; Tiba, D. 30 1991 A family of variable metric proximal methods. Zbl 0832.90102Bonnans, J. F.; Gilbert, J. Ch.; Lemaréchal, C.; Sagastizábal, C. A. 29 1995 Optimal control problems with partially polyhedric constraints. Zbl 0945.49020Bonnans, J. Frédéric; Zidani, Housnaa 27 1999 An extension of Pontryagin’s principle for state-constrained optimal control of semilinear elliptic equations and variational inequalities. Zbl 0821.49018Bonnans, Frédéric; Casas, Eduardo 27 1995 Quadratic order conditions for bang-singular extremals. Zbl 1252.49028Aronna, M. Soledad; Bonnans, J. Frédéric; Dmitruk, Andrei V.; Lotito, Pablo A. 26 2012 A fast algorithm for the two dimensional HJB equation of stochastic control. Zbl 1130.93433Bonnans, J. Frédéric; Ottenwaelter, Élisabeth; Zidani, Housnaa 26 2004 Second-order analysis for optimal control problems with pure state constraints and mixed control-state constraints. Zbl 1158.49023Bonnans, J. Frédéric; Hermant, Audrey 23 2009 Consistency of generalized finite difference schemes for the stochastic HJB equation. Zbl 1130.49307Bonnans, J. Frédéric; Zidani, Housnaa 23 2003 Numerical optimization. Theoretical and practical aspects. Transl. from the French. Zbl 1014.65045Bonnans, J. Frédéric; Gilbert, J. Charles; Lemaréchal, Claude; Sagastizábal, Claudia A. 22 2003 A trust region interior point algorithm for linearly constrained optimization. Zbl 0899.90146Bonnans, J. Frédéric; Pola, Cecilia 22 1997 Convergence of interior point algorithms for the monotone linear complementarity problem. Zbl 0846.90109Bonnans, J. Frédéric; Gonzaga, Clovis C. 20 1996 Optimal control of semilinear multistate systems with state constraints. Zbl 0667.49014Bonnans, Joseph Frederic; Casas, Eduardo 20 1989 Computation of order conditions for symplectic partitioned Runge-Kutta schemes with application to optimal control. Zbl 1112.65063Bonnans, J. Frédéric; Laurent-Varin, Julien 19 2006 Sensitivity analysis of optimization problems under second order regular constraints. Zbl 0977.90053Bonnans, J. Frédéric; Cominetti, Roberto; Shapiro, Alexander 19 1998 First and second order necessary conditions for stochastic optimal control problems. Zbl 1244.49045Bonnans, J. Frédéric; Silva, Francisco J. 18 2012 Characterization of local quadratic growth for strong minima in the optimal control of semi-linear elliptic equations. Zbl 1297.49004Bayen, Térence; Bonnans, J. Frédéric; Silva, Francisco J. 17 2014 No-gap second-order optimality conditions for optimal control problems with a single state constraint and control. Zbl 1167.49021Bonnans, J. Frédéric; Hermant, Audrey 16 2009 A shooting algorithm for optimal control problems with singular Arcs. Zbl 1275.49045Soledad Aronna, M.; Frédéric Bonnans, J.; Martinon, Pierre 13 2013 Second-order sufficiency and quadratic growth for nonisolated minima. Zbl 0846.90095Bonnans, Joseph Frédéric; Ioffe, Alexander 13 1995 Optimal control of a parabolic equation with time-dependent state constraints. Zbl 1208.49024Bonnans, J. Frédéric; Jaisson, Pascal 12 2010 Numerical optimization. Theoretical and practice aspects. Zbl 0952.65044Bonnans, Frédéric J.; Gilbert, Jean Charles; Lemaréchal, Claude; Sagastizábal, Claudia 12 1997 Well-posedness of the shooting algorithm for state constrained optimal control problems with a single constraint and control. Zbl 1251.49036Bonnans, J. Frédéric; Hermant, Audrey 11 2007 A model-free no-arbitrage price bound for variance options. Zbl 1272.93135Bonnans, J. Frédéric; Tan, Xiaolu 10 2013 Singular arcs in the generalized Goddard’s problem. Zbl 1159.49027Bonnans, F.; Martinon, P.; Trélat, E. 9 2009 Stability and sensitivity analysis for optimal control problems with a first-order state constraint and application to continuation methods. Zbl 1148.49026Bonnans, Joseph Frédéric; Hermant, Audrey 9 2008 Un principe de Pontryagine pour le contrôle des systèmes semilinéaires elliptiques. (A Pontryagin principle for control of semilinear elliptic systems). Zbl 0742.93035Bonnans, Joseph Frédéric; Casas, Eduardo 9 1991 Contrôle de systèmes elliptiques semilinéaires comportant des contraintes sur l’état. (Control of semilinear elliptic systems with state constraints). Zbl 0656.49011Bonnans, J. F.; Casas, E. 9 1988 On an algorithm for optimal control using Pontryagin’s maximum principle. Zbl 0592.49018Bonnans, Joseph Frédéric 9 1986 Second-order analysis of optimal control problems with control and initial-final state constraints. Zbl 1207.49020Bonnans, J. Frédéric; Osmolovskiĭ, N. P. 8 2010 Optimization of capacity expansion planning for gas transportation networks. Zbl 1176.90045Andre, Jean; Bonnans, Frédéric; Cornibert, Laurent 8 2009 Nondegeneracy and quantitative stability of parameterized optimization problems with multiple solutions. Zbl 0912.90266Bonnans, J. Frédéric; Shapiro, Alexander 8 1998 Pseudopower expansion of solutions of generalized equations and constrained optimization problems. Zbl 0842.65044Bonnans, Joseph Frédéric; Sulem, Agnès 8 1995 Sequential quadratic programming with penalization of the displacement. Zbl 0841.90110Bonnans, J. F.; Launay, G. 8 1995 Error estimates for the Euler discretization of an optimal control problem with first-order state constraints. Zbl 1394.49029Bonnans, J. Frédéric; Festa, Adriano 7 2017 Second-order necessary conditions in Pontryagin form for optimal control problems. Zbl 1326.49028Bonnans, J. Frédéric; Dupuis, Xavier; Pfeiffer, Laurent 7 2015 First- and second-order optimality conditions for optimal control problems of state constrained integral equations. Zbl 1354.49053Bonnans, J. Frédéric; de la Vega, Constanza; Dupuis, Xavier 7 2013 Optimal structure of gas transmission trunklines. Zbl 1272.90005André, Jean; Bonnans, J. Frédéric 7 2011 Revisiting the analysis of optimal control problems with several state constraints. Zbl 1242.49046Bonnans, J.; Hermant, A. 7 2009 Energy contracts management by stochastic programming techniques. Zbl 1254.90132Bonnans, J. Frédéric; Cen, Zhihao; Christel, Thibault 6 2012 Asymptotic expansion for the solutions of control constrained semilinear elliptic problems with interior penalties. Zbl 1323.49002Bonnans, J. Frédéric; Silva, Francisco J. 6 2011 Error estimates for stochastic differential games: the adverse stopping case. Zbl 1130.91014Bonnans, J. Frédéric; Maroso, Stefania; Zidani, Housnaa 6 2006 Using logarithmic penalties in the shooting algorithm for optimal control problems. Zbl 1073.49022Bonnans, J. F.; Guibaud, Th. 6 2003 On the convergence of the iteration sequence of infeasible path following algorithms for linear complementarity problems. Zbl 0883.90117Bonnans, J. Frédéric; Potra, Florian A. 6 1997 The trust region affine interior point algorithm for convex and nonconvex quadratic programming. Zbl 0835.90061Bonnans, J. F.; Bouhtou, M. 6 1995 Second order analysis of control-affine problems with scalar state constraint. Zbl 1352.49020Aronna, M. S.; Bonnans, J. F.; Goh, B. S. 5 2016 Optimization of running strategies based on anaerobic energy and variations of velocity. Zbl 1307.49002Aftalion, Amandine; Bonnans, J. Frédéric 5 2014 Error estimates for a stochastic impulse control problem. Zbl 1127.93057Bonnans, Frederic; Maroso, Stefania; Zidani, Housnaa 5 2007 Fast convergence of the simplified largest step path following algorithm. Zbl 0881.90114Gonzaga, Clovis C.; Bonnans, J. Frédéric 5 1997 Quadratic growth and stability in convex programming problems with multiple solutions. Zbl 0839.90090Bonnans, J. Frédéric; Ioffe, Alexander D. 5 1995 Sensitivity analysis of parametrized programs under cone constraints. Zbl 0766.90076Shapiro, A.; Bonnans, J. F. 5 1992 On the stability of sets defined by a finite number of equalities and inequalities. Zbl 0794.93096Bonnans, J. F.; Launay, G. 5 1991 On the choice of the function spaces for some state-constrained control problems. Zbl 0589.49016Bonnans, J. F.; Casas, E. 5 1985 Optimal control of state constrained integral equations. Zbl 1221.49039Bonnans, Joseph Frédéric; Sánchez Fernández de la Vega, Constanza 4 2010 Lipschitz solutions of optimal control problems with state constraints of arbitrary order. Zbl 1225.49023Bonnans, J. Frédéric 4 2010 No-gap second-order optimality conditions for optimal control problems with a single state constraint and control. Zbl 1101.49020Bonnans, J. Frédéric; Hermant, Audrey 4 2006 Mathematical study of very high voltage power networks. I: The optimal DC power flow problem. Zbl 0922.49019Bonnans, J. Frédéric 4 1997 Perturbed optimization in Banach spaces. I: A general theory based on a weak directional constraint qualification. Zbl 0862.49022Bonnans, J. Frédéric; Cominetti, Roberto 4 1996 Directional derivatives of optimal solutions in smooth nonlinear programming. Zbl 0792.90064Bonnans, J. F. 4 1992 A boundary Pontryagin’s principle for the optimal control of state- constrained elliptic systems. Zbl 0769.49017Bonnans, J. Frédéric; Casas, Eduardo 4 1992 A general optimal multiple stopping problem with an application to swing options. Zbl 1327.60098Ben Latifa, Imène; Bonnans, Joseph Frédéric; Mnif, Mohamed 3 2015 Quadratic growth conditions in optimal control problems. Zbl 1235.49042Bonnans, J. Frédéric; Osmolovskii, N. P. 3 2010 Parametric optimization of hybrid car engines. Zbl 1072.90573Bonnans, Joseph Frédéric; Guilbaud, Thérèse; Ketfi-Cherif, Ahmed; von Wissel, Dirk; Sagastizábal, Claudia; Zidani, Housnaa 3 2004 Mathematical study of very high voltage power networks. III: The optimal AC power flow problem. Zbl 0973.49021Bonnans, J. Frédéric 3 2000 Mathematical study of very high voltage power networks. II: The AC power flow problem. Zbl 0922.49020Bonnans, J. Frédéric 3 1998 Expansion of exact and approximate solutions in nonlinear programming. Zbl 0769.90070Bonnans, J. Frédéric; Ioffe, Alexander D.; Shapiro, Alexander 3 1992 A semistrong sufficiency condition for optimality in nonconvex programming and its connection to the perturbation problem. Zbl 0631.90065Bonnans, J. F. 3 1989 Quelques méthodes pour le contrôle optimal de problèmes comportant des contraintes sur l’état. (Some methods for optimal control of state constrained problems). Zbl 0614.49019Bonnans, J. F.; Casas, E. 3 1986 Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations. Zbl 1454.49028Aronna, M. Soledad; Bonnans, J. Frédéric; Kröner, Axel 2 2018 Optimal control of a semilinear parabolic equation with singular arcs. Zbl 1301.49053Bonnans, J. Frédéric 2 2014 Sensitivity analysis for relaxed optimal control problems with final-state constraints. Zbl 1281.49024Frédéric Bonnans, J.; Pfeiffer, Laurent; Serea, Oana Silvia 2 2013 Characterization of a local quadratic growth of the Hamiltonian for control constrained optimal control problems. Zbl 1264.49020Bonnans, J. Frédéric; Osmolovskii, Nikolai P. 2 2012 Asymptotic expansions for interior penalty solutions of control constrained linear-quadratic problems. Zbl 1252.49055Álvarez, Felipe; Bolte, Jérôme; Bonnans, J. Frédéric; Silva, Francisco J. 2 2012 Error estimates for the logarithmic barrier method in linear quadratic stochastic optimal control problems. Zbl 1250.93118Bonnans, J. Frédéric; Silva, Francisco J. 2 2012 Control problems with mixed constraints and application to an optimal investment problem. Zbl 1212.49037Bonnans, J. F.; Tiba, D. 2 2009 Fast computation of the leastcore and prenucleolus of cooperative games. Zbl 1154.91317Bonnans, Joseph Frédéric; André, Matthieu 2 2008 Fast linear algebra for multiarc trajectory optimization. Zbl 1105.49037Bérend, Nicolas; Bonnans, J. Frédéric; Laurent-Varin, Julien; Haddou, Mounir; Talbot, Christophe 2 2006 Control and optimization of dynamical systems. Zbl 1229.37001Bonnans, Frédéric; Rouchon, Pierre 2 2005 Perturbed optimization in Banach spaces. II: A theory based on a strong directional constraint qualification. Zbl 0862.49023Bonnans, J. Frédéric; Cominetti, Roberto 2 1996 Asymptotic admissibility of the unit stepsize in exact penalty methods. Zbl 0678.90068Bonnans, Joseph Frédéric 2 1989 On the choice of the function spaces for some state-constrained control problems. Zbl 0572.49009Bonnans, J. F.; Casas, E. 2 1985 Une extension de la programmation quadratique successive. Zbl 0559.90081Bonnans, Joseph Frédéric; Gabay, Daniel 2 1984 MIDAS: a mixed integer dynamic approximation scheme. Zbl 07210782Philpott, A. B.; Wahid, F.; Bonnans, J. F. 1 2020 Correction to: “Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations”. Zbl 1447.49037Aronna, M. Soledad; Bonnans, J. Frédéric; Kröner, Axel 1 2018 Second-order sufficient conditions for strong solutions to optimal control problems. Zbl 1293.49039Bonnans, J. Frédéric; Dupuis, Xavier; Pfeiffer, Laurent 1 2014 Sensitivity analysis of energy contracts by stochastic programming techniques. Zbl 1269.90070Bonnans, J. Frédéric; Cen, Zhihao; Christel, Thibault 1 2012 The obstacle problem for water tanks. Zbl 1034.49037Bonnans, J. F.; Bessi Fourati, R.; Smaoui, H. 1 2003 Perturbed optimization in Banach spaces. III: Semi-infinite optimization. Zbl 0872.49008Bonnans, J. Frédéric; Cominetti, Roberto 1 1996 On the stability of solutions in nonlinear programming. Zbl 0722.90076Bonnans, J. F. 1 1990 Local study of Newton type algorithms for constrained problems. Zbl 0693.49016Bonnans, J. F. 1 1989 An introduction to Newton type algorithms for nonlinearly constrained optimization problems. Zbl 0683.90075Bonnans, Joseph Frédéric 1 1989 A domain control approach to state-constrained control problems. Zbl 0825.49029Bonnans, J. F.; Gaudrat, V.; Saguez, C. 1 1988 MIDAS: a mixed integer dynamic approximation scheme. Zbl 07210782Philpott, A. B.; Wahid, F.; Bonnans, J. F. 1 2020 Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations. Zbl 1454.49028Aronna, M. Soledad; Bonnans, J. Frédéric; Kröner, Axel 2 2018 Correction to: “Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations”. Zbl 1447.49037Aronna, M. Soledad; Bonnans, J. Frédéric; Kröner, Axel 1 2018 Error estimates for the Euler discretization of an optimal control problem with first-order state constraints. Zbl 1394.49029Bonnans, J. Frédéric; Festa, Adriano 7 2017 Second order analysis of control-affine problems with scalar state constraint. Zbl 1352.49020Aronna, M. S.; Bonnans, J. F.; Goh, B. S. 5 2016 Second-order necessary conditions in Pontryagin form for optimal control problems. Zbl 1326.49028Bonnans, J. Frédéric; Dupuis, Xavier; Pfeiffer, Laurent 7 2015 A general optimal multiple stopping problem with an application to swing options. Zbl 1327.60098Ben Latifa, Imène; Bonnans, Joseph Frédéric; Mnif, Mohamed 3 2015 Characterization of local quadratic growth for strong minima in the optimal control of semi-linear elliptic equations. Zbl 1297.49004Bayen, Térence; Bonnans, J. Frédéric; Silva, Francisco J. 17 2014 Optimization of running strategies based on anaerobic energy and variations of velocity. Zbl 1307.49002Aftalion, Amandine; Bonnans, J. Frédéric 5 2014 Optimal control of a semilinear parabolic equation with singular arcs. Zbl 1301.49053Bonnans, J. Frédéric 2 2014 Second-order sufficient conditions for strong solutions to optimal control problems. Zbl 1293.49039Bonnans, J. Frédéric; Dupuis, Xavier; Pfeiffer, Laurent 1 2014 A shooting algorithm for optimal control problems with singular Arcs. Zbl 1275.49045Soledad Aronna, M.; Frédéric Bonnans, J.; Martinon, Pierre 13 2013 A model-free no-arbitrage price bound for variance options. Zbl 1272.93135Bonnans, J. Frédéric; Tan, Xiaolu 10 2013 First- and second-order optimality conditions for optimal control problems of state constrained integral equations. Zbl 1354.49053Bonnans, J. Frédéric; de la Vega, Constanza; Dupuis, Xavier 7 2013 Sensitivity analysis for relaxed optimal control problems with final-state constraints. Zbl 1281.49024Frédéric Bonnans, J.; Pfeiffer, Laurent; Serea, Oana Silvia 2 2013 Quadratic order conditions for bang-singular extremals. Zbl 1252.49028Aronna, M. Soledad; Bonnans, J. Frédéric; Dmitruk, Andrei V.; Lotito, Pablo A. 26 2012 First and second order necessary conditions for stochastic optimal control problems. Zbl 1244.49045Bonnans, J. Frédéric; Silva, Francisco J. 18 2012 Energy contracts management by stochastic programming techniques. Zbl 1254.90132Bonnans, J. Frédéric; Cen, Zhihao; Christel, Thibault 6 2012 Characterization of a local quadratic growth of the Hamiltonian for control constrained optimal control problems. Zbl 1264.49020Bonnans, J. Frédéric; Osmolovskii, Nikolai P. 2 2012 Asymptotic expansions for interior penalty solutions of control constrained linear-quadratic problems. Zbl 1252.49055Álvarez, Felipe; Bolte, Jérôme; Bonnans, J. Frédéric; Silva, Francisco J. 2 2012 Error estimates for the logarithmic barrier method in linear quadratic stochastic optimal control problems. Zbl 1250.93118Bonnans, J. Frédéric; Silva, Francisco J. 2 2012 Sensitivity analysis of energy contracts by stochastic programming techniques. Zbl 1269.90070Bonnans, J. Frédéric; Cen, Zhihao; Christel, Thibault 1 2012 Optimal structure of gas transmission trunklines. Zbl 1272.90005André, Jean; Bonnans, J. Frédéric 7 2011 Asymptotic expansion for the solutions of control constrained semilinear elliptic problems with interior penalties. Zbl 1323.49002Bonnans, J. Frédéric; Silva, Francisco J. 6 2011 Optimal control of a parabolic equation with time-dependent state constraints. Zbl 1208.49024Bonnans, J. Frédéric; Jaisson, Pascal 12 2010 Second-order analysis of optimal control problems with control and initial-final state constraints. Zbl 1207.49020Bonnans, J. Frédéric; Osmolovskiĭ, N. P. 8 2010 Optimal control of state constrained integral equations. Zbl 1221.49039Bonnans, Joseph Frédéric; Sánchez Fernández de la Vega, Constanza 4 2010 Lipschitz solutions of optimal control problems with state constraints of arbitrary order. Zbl 1225.49023Bonnans, J. Frédéric 4 2010 Quadratic growth conditions in optimal control problems. Zbl 1235.49042Bonnans, J. Frédéric; Osmolovskii, N. P. 3 2010 Second-order analysis for optimal control problems with pure state constraints and mixed control-state constraints. Zbl 1158.49023Bonnans, J. Frédéric; Hermant, Audrey 23 2009 No-gap second-order optimality conditions for optimal control problems with a single state constraint and control. Zbl 1167.49021Bonnans, J. Frédéric; Hermant, Audrey 16 2009 Singular arcs in the generalized Goddard’s problem. Zbl 1159.49027Bonnans, F.; Martinon, P.; Trélat, E. 9 2009 Optimization of capacity expansion planning for gas transportation networks. Zbl 1176.90045Andre, Jean; Bonnans, Frédéric; Cornibert, Laurent 8 2009 Revisiting the analysis of optimal control problems with several state constraints. Zbl 1242.49046Bonnans, J.; Hermant, A. 7 2009 Control problems with mixed constraints and application to an optimal investment problem. Zbl 1212.49037Bonnans, J. F.; Tiba, D. 2 2009 Stability and sensitivity analysis for optimal control problems with a first-order state constraint and application to continuation methods. Zbl 1148.49026Bonnans, Joseph Frédéric; Hermant, Audrey 9 2008 Fast computation of the leastcore and prenucleolus of cooperative games. Zbl 1154.91317Bonnans, 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 1251.49036Bonnans, J. Frédéric; Hermant, Audrey 11 2007 Error estimates for a stochastic impulse control problem. Zbl 1127.93057Bonnans, Frederic; Maroso, Stefania; Zidani, Housnaa 5 2007 Numerical optimization. Theoretical and practical aspects. Transl. from the French. 2nd reviseded. Zbl 1108.65060Bonnans, J. Frédéric; Gilbert, J. Charles; Lemaréchal, Claude; Sagastizábal, Claudia A. 91 2006 Computation of order conditions for symplectic partitioned Runge-Kutta schemes with application to optimal control. Zbl 1112.65063Bonnans, J. Frédéric; Laurent-Varin, Julien 19 2006 Error estimates for stochastic differential games: the adverse stopping case. Zbl 1130.91014Bonnans, J. Frédéric; Maroso, Stefania; Zidani, Housnaa 6 2006 No-gap second-order optimality conditions for optimal control problems with a single state constraint and control. Zbl 1101.49020Bonnans, J. Frédéric; Hermant, Audrey 4 2006 Fast linear algebra for multiarc trajectory optimization. Zbl 1105.49037Bérend, Nicolas; Bonnans, J. Frédéric; Laurent-Varin, Julien; Haddou, Mounir; Talbot, Christophe 2 2006 Perturbation analysis of second-order cone programming problems. Zbl 1124.90039Bonnans, J. Frédéric; Ramírez C., Héctor 56 2005 Control and optimization of dynamical systems. Zbl 1229.37001Bonnans, Frédéric; Rouchon, Pierre 2 2005 A fast algorithm for the two dimensional HJB equation of stochastic control. Zbl 1130.93433Bonnans, J. Frédéric; Ottenwaelter, Élisabeth; Zidani, Housnaa 26 2004 Parametric optimization of hybrid car engines. Zbl 1072.90573Bonnans, Joseph Frédéric; Guilbaud, Thérèse; Ketfi-Cherif, Ahmed; von Wissel, Dirk; Sagastizábal, Claudia; Zidani, Housnaa 3 2004 Consistency of generalized finite difference schemes for the stochastic HJB equation. Zbl 1130.49307Bonnans, J. Frédéric; Zidani, Housnaa 23 2003 Numerical optimization. Theoretical and practical aspects. Transl. from the French. Zbl 1014.65045Bonnans, J. Frédéric; Gilbert, J. Charles; Lemaréchal, Claude; Sagastizábal, Claudia A. 22 2003 Using logarithmic penalties in the shooting algorithm for optimal control problems. Zbl 1073.49022Bonnans, J. F.; Guibaud, Th. 6 2003 The obstacle problem for water tanks. Zbl 1034.49037Bonnans, J. F.; Bessi Fourati, R.; Smaoui, H. 1 2003 Perturbation analysis of optimization problems. Zbl 0966.49001Bonnans, J. Frédéric; Shapiro, Alexander 699 2000 Mathematical study of very high voltage power networks. III: The optimal AC power flow problem. Zbl 0973.49021Bonnans, J. Frédéric 3 2000 Second order optimality conditions based on parabolic second order tangent sets. Zbl 0990.90127Bonnans, J. Frédéric; Cominetti, Roberto; Shapiro, Alexander 64 1999 Optimal control problems with partially polyhedric constraints. Zbl 0945.49020Bonnans, J. Frédéric; Zidani, Housnaa 27 1999 Optimization problems with perturbations: A guided tour. Zbl 0915.49021Bonnans, J. Frédéric; Shapiro, Alexander 42 1998 Second-order analysis for control constrained optimal control problems of semilinear elliptic systems. Zbl 0917.49020Bonnans, J. F. 31 1998 Sensitivity analysis of optimization problems under second order regular constraints. Zbl 0977.90053Bonnans, J. Frédéric; Cominetti, Roberto; Shapiro, Alexander 19 1998 Nondegeneracy and quantitative stability of parameterized optimization problems with multiple solutions. Zbl 0912.90266Bonnans, J. Frédéric; Shapiro, Alexander 8 1998 Mathematical study of very high voltage power networks. II: The AC power flow problem. Zbl 0922.49020Bonnans, J. Frédéric 3 1998 A trust region interior point algorithm for linearly constrained optimization. Zbl 0899.90146Bonnans, J. Frédéric; Pola, Cecilia 22 1997 Numerical optimization. Theoretical and practice aspects. Zbl 0952.65044Bonnans, Frédéric J.; Gilbert, Jean Charles; Lemaréchal, Claude; Sagastizábal, Claudia 12 1997 On the convergence of the iteration sequence of infeasible path following algorithms for linear complementarity problems. Zbl 0883.90117Bonnans, J. Frédéric; Potra, Florian A. 6 1997 Fast convergence of the simplified largest step path following algorithm. Zbl 0881.90114Gonzaga, Clovis C.; Bonnans, J. Frédéric 5 1997 Mathematical study of very high voltage power networks. I: The optimal DC power flow problem. Zbl 0922.49019Bonnans, J. Frédéric 4 1997 Convergence of interior point algorithms for the monotone linear complementarity problem. Zbl 0846.90109Bonnans, J. Frédéric; Gonzaga, Clovis C. 20 1996 Perturbed optimization in Banach spaces. I: A general theory based on a weak directional constraint qualification. Zbl 0862.49022Bonnans, J. Frédéric; Cominetti, Roberto 4 1996 Perturbed optimization in Banach spaces. II: A theory based on a strong directional constraint qualification. Zbl 0862.49023Bonnans, J. Frédéric; Cominetti, Roberto 2 1996 Perturbed optimization in Banach spaces. III: Semi-infinite optimization. Zbl 0872.49008Bonnans, J. Frédéric; Cominetti, Roberto 1 1996 A family of variable metric proximal methods. Zbl 0832.90102Bonnans, J. F.; Gilbert, J. Ch.; Lemaréchal, C.; Sagastizábal, C. A. 29 1995 An extension of Pontryagin’s principle for state-constrained optimal control of semilinear elliptic equations and variational inequalities. Zbl 0821.49018Bonnans, Frédéric; Casas, Eduardo 27 1995 Second-order sufficiency and quadratic growth for nonisolated minima. Zbl 0846.90095Bonnans, Joseph Frédéric; Ioffe, Alexander 13 1995 Pseudopower expansion of solutions of generalized equations and constrained optimization problems. Zbl 0842.65044Bonnans, Joseph Frédéric; Sulem, Agnès 8 1995 Sequential quadratic programming with penalization of the displacement. Zbl 0841.90110Bonnans, J. F.; Launay, G. 8 1995 The trust region affine interior point algorithm for convex and nonconvex quadratic programming. Zbl 0835.90061Bonnans, J. F.; Bouhtou, M. 6 1995 Quadratic growth and stability in convex programming problems with multiple solutions. Zbl 0839.90090Bonnans, J. Frédéric; Ioffe, Alexander D. 5 1995 Local analysis of Newton-type methods for variational inequalities and nonlinear programming. Zbl 0809.90115Bonnans, J. Frédéric 50 1994 Avoiding the Maratos effect by means of a nonmonotone line search. II: Inequality constrained problems — feasible iterates. Zbl 0763.65042Bonnans, J. Frédéric; Panier, Eliane R.; Tits, André L.; Zhou, Jian L. 39 1992 Sensitivity analysis of parametrized programs under cone constraints. Zbl 0766.90076Shapiro, A.; Bonnans, J. F. 5 1992 Directional derivatives of optimal solutions in smooth nonlinear programming. Zbl 0792.90064Bonnans, J. F. 4 1992 A boundary Pontryagin’s principle for the optimal control of state- constrained elliptic systems. Zbl 0769.49017Bonnans, J. Frédéric; Casas, Eduardo 4 1992 Expansion of exact and approximate solutions in nonlinear programming. Zbl 0769.90070Bonnans, J. Frédéric; Ioffe, Alexander D.; Shapiro, Alexander 3 1992 Pontryagin’s principle in the control of semilinear elliptic variational inequalities. Zbl 0728.49003Bonnans, J. F.; Tiba, D. 30 1991 Un principe de Pontryagine pour le contrôle des systèmes semilinéaires elliptiques. (A Pontryagin principle for control of semilinear elliptic systems). Zbl 0742.93035Bonnans, Joseph Frédéric; Casas, Eduardo 9 1991 On the stability of sets defined by a finite number of equalities and inequalities. Zbl 0794.93096Bonnans, J. F.; Launay, G. 5 1991 On the stability of solutions in nonlinear programming. Zbl 0722.90076Bonnans, J. F. 1 1990 Optimal control of semilinear multistate systems with state constraints. Zbl 0667.49014Bonnans, Joseph Frederic; Casas, Eduardo 20 1989 A semistrong sufficiency condition for optimality in nonconvex programming and its connection to the perturbation problem. Zbl 0631.90065Bonnans, J. F. 3 1989 Asymptotic admissibility of the unit stepsize in exact penalty methods. Zbl 0678.90068Bonnans, Joseph Frédéric 2 1989 Local study of Newton type algorithms for constrained problems. Zbl 0693.49016Bonnans, J. F. 1 1989 An introduction to Newton type algorithms for nonlinearly constrained optimization problems. Zbl 0683.90075Bonnans, Joseph Frédéric 1 1989 Contrôle de systèmes elliptiques semilinéaires comportant des contraintes sur l’état. (Control of semilinear elliptic systems with state constraints). Zbl 0656.49011Bonnans, J. F.; Casas, E. 9 1988 A domain control approach to state-constrained control problems. Zbl 0825.49029Bonnans, J. F.; Gaudrat, V.; Saguez, C. 1 1988 On an algorithm for optimal control using Pontryagin’s maximum principle. Zbl 0592.49018Bonnans, Joseph Frédéric 9 1986 Quelques méthodes pour le contrôle optimal de problèmes comportant des contraintes sur l’état. (Some methods for optimal control of state constrained problems). Zbl 0614.49019Bonnans, J. F.; Casas, E. 3 1986 On the choice of the function spaces for some state-constrained control problems. Zbl 0589.49016Bonnans, J. F.; Casas, E. 5 1985 On the choice of the function spaces for some state-constrained control problems. Zbl 0572.49009Bonnans, J. F.; Casas, E. 2 1985 Une extension de la programmation quadratique successive. Zbl 0559.90081Bonnans, Joseph Frédéric; Gabay, Daniel 2 1984 all cited Publications top 5 cited Publications all top 5 Cited by 1,807 Authors 43 Zhang, Liwei 35 Bonnans, Joseph Frédéric 28 Mordukhovich, Boris S. 23 Casas, Eduardo 21 Izmailov, Alexey F. 17 Zhou, Jinchuan 15 Yang, Xiaoqi 14 Yao, Jen-Chih 13 Solodov, Mikhail V. 13 Zhu, Detong 12 Arutyunov, Aram Vladimirovic 12 Shapiro, Alexander 12 Silva, Francisco J. 12 Sun, Defeng 12 Tröltzsch, Fredi 11 Osmolovskiĭ, Nikolaĭ Pavlovich 11 Outrata, Jiří V. 11 Wachsmuth, Gerd 11 Xu, Huifu 10 Frankowska, Hélène 10 Hintermüller, Michael 10 Jian, Jinbao 10 Mehlitz, Patrick 10 Zhang, Jie 9 Chen, Jein-Shan 9 Gfrerer, Helmut 9 Kostyukova, Olga Ivanova 9 Phan Quôc Khánh 9 Song, Wen 9 Surowiec, Thomas 9 Xiu, Naihua 8 Fukushima, Masao 8 Kanzow, Christian 8 Li, Shengjie 8 Nghia, Tran T. A. 8 Potra, Florian-Alexandru 8 Sarabi, M. Ebrahim 8 Solodov, Michael V. 8 Touzi, Nizar 8 Tuan, Nguyen Dinh 8 Wachsmuth, Daniel 8 Zhang, Haisen 8 Zhang, Xu 8 Zhu, Zhibin 7 Aronna, María Soledad 7 Avakov, Evgeniĭ Rachievich 7 Bermúdez, Alfredo 7 Durea, Marius 7 Haeser, Gabriel 7 Jakobsen, Espen Robstad 7 Liu, Yong-Jin 7 López-Cerdá, Marco Antonio 7 Meyer, Christian 7 Pan, Shaohua 7 Pang, Jong-Shi 7 Qi, Houduo 7 Tan, Xiaolu 7 Tang, Chunming 7 Tchemisova, Tatiana V. 7 Teo, Kok Lay 7 Xiao, Xiantao 7 Nguyen Dong Yen 6 De los Reyes, Juan Carlos 6 Dentcheva, Darinka 6 Dontchev, Asen L. 6 Guan, Hongbo 6 Hermant, Audrey 6 Luan, Shu 6 Qi, Liqun 6 Rösch, Arnd 6 Sagastizábal, Claudia A. 6 Sama, Miguel 6 Shi, Dongyang 6 Strugariu, Radu 6 Sun, Hailin 6 Zheng, Xiyin 5 Barton, Paul I. 5 Chen, Qihong 5 Chuong, Thai Doan 5 Facchinei, Francisco 5 Fernández, Damián 5 Fischer, Andreas M. 5 Gao, Hang 5 Goberna, Miguel Angel 5 Gu, Jian 5 Guo, Shaoyan 5 Herzog, Roland 5 Huy, Nguyen Quang 5 Klatte, Diethard 5 Kunisch, Karl 5 Lewis, Adrian S. 5 Lu, Zuliang 5 Mirebeau, Jean-Marie 5 Ng, Kung-Fu 5 Phạm Tiên So’n 5 Picarelli, Athena 5 Reich, Simeon 5 Reisinger, Christoph 5 Ruszczyński, Andrzej 5 Sagastizábal, Claudia S. ...and 1,707 more Authors all top 5 Cited in 226 Serials 143 Journal of Optimization Theory and Applications 107 Mathematical Programming. Series A. Series B 85 SIAM Journal on Optimization 62 Computational Optimization and Applications 41 SIAM Journal on Control and Optimization 39 Journal of Global Optimization 35 Set-Valued and Variational Analysis 34 Journal of Computational and Applied Mathematics 34 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 33 European Journal of Operational Research 31 Journal of Mathematical Analysis and Applications 29 Applied Mathematics and Computation 27 Optimization 27 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 25 Optimization Letters 24 Applied Mathematics and Optimization 24 Optimization Methods & Software 20 Numerical Functional Analysis and Optimization 17 Mathematical Methods of Operations Research 14 Journal of Industrial and Management Optimization 13 Numerische Mathematik 13 Operations Research Letters 12 Computers & Mathematics with Applications 10 SIAM Journal on Numerical Analysis 9 Automatica 9 Optimal Control Applications & Methods 9 Systems & Control Letters 9 Applied Numerical Mathematics 9 The Annals of Applied Probability 9 Numerical Algorithms 9 Mathematical Control and Related Fields 8 Journal of Inequalities and Applications 8 Fixed Point Theory and Applications 7 Computer Methods in Applied Mechanics and Engineering 7 Acta Mathematica Vietnamica 7 Journal of Differential Equations 7 Annals of Operations Research 7 Applied Mathematical Modelling 7 Linear Algebra and its Applications 7 Top 7 Abstract and Applied Analysis 7 Optimization and Engineering 6 Acta Mathematicae Applicatae Sinica. English Series 6 Journal of Mathematical Imaging and Vision 6 Positivity 6 Acta Mathematica Sinica. English Series 6 Science China. Mathematics 5 Journal of Computational Physics 5 Mathematics of Computation 5 Transactions of the American Mathematical Society 5 Set-Valued Analysis 5 Journal of Mathematical Sciences (New York) 5 Discrete and Continuous Dynamical Systems 5 Nonlinear Analysis. Real World Applications 5 Journal of Systems Science and Complexity 5 Journal of Applied Mathematics and Computing 5 Proceedings of the Steklov Institute of Mathematics 5 Journal of the Operations Research Society of China 4 Applicable Analysis 4 The Annals of Statistics 4 Mathematics and Computers in Simulation 4 Asia-Pacific Journal of Operational Research 4 Journal of Scientific Computing 4 Machine Learning 4 Neural Computation 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Computational and Applied Mathematics 4 Discrete and Continuous Dynamical Systems. Series B 4 Journal of Applied Mathematics 4 Journal of Fixed Point Theory and Applications 4 Journal of Function Spaces 3 Computers and Fluids 3 Mathematical Notes 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 Numerical Methods for Partial Differential Equations 3 SIAM Journal on Mathematical Analysis 3 Journal of Convex Analysis 3 European Journal of Control 3 Mathematical Finance 3 Vietnam Journal of Mathematics 3 Taiwanese Journal of Mathematics 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Journal of Dynamical and Control Systems 3 RAIRO. Operations Research 3 Foundations of Computational Mathematics 3 4OR 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 International Journal of Control 2 Journal of the Franklin Institute 2 Psychometrika 2 Annals of the Institute of Statistical Mathematics 2 Information Sciences 2 Journal of Econometrics 2 Journal of Statistical Planning and Inference 2 Kodai Mathematical Journal 2 Kybernetika 2 Mathematics of Operations Research 2 Opsearch ...and 126 more Serials all top 5 Cited in 47 Fields 871 Operations research, mathematical programming (90-XX) 699 Calculus of variations and optimal control; optimization (49-XX) 351 Numerical analysis (65-XX) 146 Partial differential equations (35-XX) 109 Systems theory; control (93-XX) 87 Operator theory (47-XX) 76 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 47 Probability theory and stochastic processes (60-XX) 43 Mechanics of deformable solids (74-XX) 40 Statistics (62-XX) 31 Ordinary differential equations (34-XX) 30 Functional analysis (46-XX) 27 Computer science (68-XX) 23 Real functions (26-XX) 23 Fluid mechanics (76-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 18 Convex and discrete geometry (52-XX) 18 Biology and other natural sciences (92-XX) 16 Information and communication theory, circuits (94-XX) 15 Global analysis, analysis on manifolds (58-XX) 9 General topology (54-XX) 9 Mechanics of particles and systems (70-XX) 7 Algebraic geometry (14-XX) 7 Integral equations (45-XX) 6 Dynamical systems and ergodic theory (37-XX) 3 Combinatorics (05-XX) 3 Approximations and expansions (41-XX) 3 Differential geometry (53-XX) 3 Quantum theory (81-XX) 2 History and biography (01-XX) 2 Nonassociative rings and algebras (17-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Manifolds and cell complexes (57-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geophysics (86-XX) Citations by Year