Edit Profile (opens in new tab) Biegler, Lorenz T. Co-Author Distance Author ID: biegler.lorenz-t Published as: Biegler, Lorenz T.; Biegler, Lorenz; Biegler, L. T.; Biegler, L. more...less Homepage: https://www.cheme.engineering.cmu.edu/directory/bios/biegler-lorenz.html External Links: MGP · Wikidata · Google Scholar Documents Indexed: 54 Publications since 1993, including 1 Book 8 Contributions as Editor Co-Authors: 77 Co-Authors with 59 Joint Publications 2,967 Co-Co-Authors all top 5 Co-Authors 3 single-authored 6 Wächter, Andreas 5 van Bloemen Waanders, Bart G. 4 Conn, Andrew Roger 4 Ghattas, Omar N. 4 Heinkenschloss, Matthias 4 Shao, Zhijiang 4 Wang, Kexin 4 Zavala, Victor M. 3 Bartlett, Roscoe A. 3 Coleman, Thomas F. 3 Kameswaran, Shivakumar 3 Laird, Carl D. 3 Raghunathan, Arvind U. 3 Santosa, Fadil N. 3 Schmid, Claudia 3 Walther, Andrea 2 Arora, Nikhil 2 Campbell, Stephen LaVern 2 Chen, Weifeng 2 Grossmann, Ignacio E. 2 Hakanen, Jussi 2 Kaplan, Uğur 2 Karasözen, Bülent 2 Kawajiri, Yoshiaki 2 Keyes, David Elliot 2 Mehrmann, Volker 2 Miettinen, Kaisa M. 2 Nicholson, Bethany L. 2 Nocedal, Jorge 2 Ternet, David 2 Turkay, Metin 2 Wan, Wei 1 Agarwal, Anshul 1 Agosin, Eduardo 1 Allgower, Frank 1 Arrieta-Camacho, Juan J. 1 Biros, George 1 Bonami, Pierre 1 Camponogara, Eduardo 1 Cervantes, Arturo M. 1 Cornuéjols, Gérard P. 1 de Oliveira, Nuno M. C. 1 Eason, John P. 1 Findeisen, Rolf 1 Gao, Yan 1 Gopal, Vipin 1 Heyen, Georges 1 Huang, Rui 1 Huang, Xiaojin 1 Itle, G. C. 1 Lee, Jon 1 Lodi, Andrea 1 López-Negrete, Rodrigo 1 Mallick, Bani K. 1 Margot, François 1 Marzouk, Youssef M. 1 Patwardhan, Sachin C. 1 Pawlowski, Roger P. 1 Pérez-Correa, José Ricardo 1 Pirnay, Hans 1 Salinger, Andrew G. 1 Sawaya, Nicolas W. 1 Scherer, Helton 1 Shadid, John N. 1 Siirola, John D. 1 Song, Zhengyu 1 Staus, George H. 1 Subramanian, Dharmashankar 1 Tenorio, Luis 1 Tjoa, Iauw-Bhieng 1 Vetukuri, Sree Rama Raju 1 Watson, Jean-Paul 1 Wei, Zhengyu 1 Willcox, Karen E. 1 Yang, Cheng 1 Ydstie, B. Erik 1 Zhu, Qiang all top 5 Serials 7 Computational Optimization and Applications 5 SIAM Journal on Optimization 5 Optimization and Engineering 3 Automatica 3 The IMA Volumes in Mathematics and its Applications 2 Annals of Operations Research 2 Mathematical Programming. Series A. Series B 2 International Journal of Robust and Nonlinear Control 2 SIAM Journal on Scientific Computing 2 Mathematical Programming Computation 1 Discrete Applied Mathematics 1 Control and Cybernetics 1 Journal of Computational and Applied Mathematics 1 INFORMS Journal on Computing 1 Vietnam Journal of Mathematics 1 Optimization Methods & Software 1 Discrete Optimization 1 Lecture Notes in Control and Information Sciences 1 Lecture Notes in Computational Science and Engineering 1 Advances in Design and Control 1 Computational Science & Engineering 1 MOS/SIAM Series on Optimization all top 5 Fields 45 Operations research, mathematical programming (90-XX) 26 Numerical analysis (65-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 14 Systems theory; control (93-XX) 8 General and overarching topics; collections (00-XX) 5 Fluid mechanics (76-XX) 3 Computer science (68-XX) 3 Biology and other natural sciences (92-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Statistics (62-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Approximations and expansions (41-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 46 Publications have been cited 1,853 times in 1,444 Documents Cited by ▼ Year ▼ On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming. Zbl 1134.90542 Wächter, Andreas; Biegler, Lorenz T. 976 2006 An algorithmic framework for convex mixed integer nonlinear programs. Zbl 1151.90028 Bonami, Pierre; Biegler, Lorenz T.; Conn, Andrew R.; Cornuéjols, Gérard; Grossmann, Ignacio E.; Laird, Carl D.; Lee, Jon; Lodi, Andrea; Margot, François; Sawaya, Nicolas; Wächter, Andreas 198 2008 Line search filter methods for nonlinear programming: motivation and global convergence. Zbl 1114.90128 Wächter, Andreas; Biegler, Lorenz T. 134 2005 Line search filter methods for nonlinear programming: local convergence. Zbl 1115.90056 Wächter, Andreas; Biegler, Lorenz T. 97 2005 Nonlinear programming. Concepts, algorithms, and applications in chemical processes. Zbl 1207.90004 Biegler, Lorenz T. 57 2010 An interior point method for mathematical programs with complementarity constraints (MPCCs). Zbl 1077.90079 Raghunathan, Arvind U.; Biegler, Lorenz T. 31 2005 Convergence rates for direct transcription of optimal control problems using collocation at Radau points. Zbl 1219.49029 Kameswaran, Shivakumar; Biegler, Lorenz T. 30 2008 Failure of global convergence for a class of interior point methods for nonlinear programming. Zbl 0963.65063 Wächter, Andreas; Biegler, Lorenz T. 29 2000 Large-scale PDE-constrained optimization. Zbl 1021.00015 28 2003 Large-scale inverse problems and quantification of uncertainty. Zbl 1203.62002 27 2011 Real-time PDE-constrained optimization. Zbl 1117.49004 24 2007 The advanced-step NMPC controller: Optimality, stability and robustness. Zbl 1154.93364 Zavala, Victor M.; Biegler, Lorenz T. 24 2009 Parameter estimation in metabolic flux balance models for batch fermentation – formulation and solution using differential variational inequalities (DVIs). Zbl 1106.92023 Raghunathan, Arvind U.; Pérez-Correa, J. Ricardo; Agosin, Eduardo; Biegler, Lorenz T. 22 2006 Large-scale PDE-constrained optimization: an introduction. Zbl 1094.49500 Biegler, Lorenz T.; Ghattas, Omar; Heinkenschloss, Matthias; van Bloemen Waanders, Bart 22 2003 A reduced Hessian method for large-scale constrained optimization. Zbl 0828.65061 Biegler, Lorenz T.; Nocedal, Jorge; Schmid, Claudia 19 1995 QPSchur: A dual, active-set, Schur-complement method for large-scale and structured convex quadratic programming. Zbl 1167.90615 Bartlett, Roscoe A.; Biegler, Lorenz T. 14 2006 DAEs, control, and optimization. Zbl 1317.65143 Biegler, Lorenz; Campbell, Stephen L.; Mehrmann, Volker 12 2012 Assessment and future directions of nonlinear model predictive control. Selected papers based on the presentations at the workshop (NMPC05), Freudenstadt-Lauterbad, Germany, August 26–30, 2005. Zbl 1116.93009 9 2007 A trust-region framework for constrained optimization using reduced order modeling. Zbl 1293.76109 Agarwal, Anshul; Biegler, Lorenz T. 9 2013 Efficient solution of dynamic optimization and NMPC problems. Zbl 0966.93048 Biegler, Lorenz T. 8 2000 An extension of Newton-type algorithms for nonlinear process control. Zbl 0825.93181 de Oliveira, Nuno M. C.; Biegler, Lorenz T. 7 1995 A trust region SQP algorithm for equality constrained parameter estimation with simple parameter bounds. Zbl 1056.90139 Arora, Nikhil; Biegler, Lorenz T. 7 2004 Advantages of nonlinear-programming-based methodologies for inequality path-constrained optimal control problems – a numerical study. Zbl 1157.49038 Kameswaran, Shivakumar; Biegler, Lorenz T. 7 2008 Optimal sensitivity based on IPOPT. Zbl 1291.90247 Pirnay, Hans; López-Negrete, Rodrigo; Biegler, Lorenz T. 7 2012 Numerical experience with a reduced Hessian method for large scale constrained optimization. Zbl 0942.90025 Biegler, Lorenz T.; Nocedal, Jorge; Schmid, Claudia; Ternet, David 6 2000 A stable elemental decomposition for dynamic process optimization. Zbl 0970.65071 Cervantes, Arturo M.; Biegler, Lorenz T. 5 2000 Control and optimization with differential-algebraic constraints. Selected papers based on the presentations at the workshop, Banff, Canada, October 24–29, 2010. Zbl 1256.65001 5 2012 Numerical experiments with an inexact Jacobian trust-region algorithm. Zbl 1219.90166 Walther, Andrea; Biegler, Lorenz T. 4 2011 A successive linear programming approach for initialization and reinitialization after discontinuities of differential-algebraic equations. Zbl 0927.65092 Gopal, Vipin; Biegler, Lorenz T. 4 1999 On an inexact trust-region SQP-filter method for constrained nonlinear optimization. Zbl 1362.90344 Walther, Andrea; Biegler, Lorenz 4 2016 Fast implementations and rigorous models: can both be accommodated in NMPC? Zbl 1284.93105 Zavala, Victor M.; Laird, Carl D.; Biegler, Lorenz T. 4 2008 Trajectory control of multiple aircraft: an NMPC approach. Zbl 1220.49024 Arrieta-Camacho, Juan J.; Biegler, Lorenz T.; Subramanian, Dharmashankar 3 2007 pyomo.dae: a modeling and automatic discretization framework for optimization with differential and algebraic equations. Zbl 1402.49029 Nicholson, Bethany; Siirola, John D.; Watson, Jean-Paul; Zavala, Victor M.; Biegler, Lorenz T. 3 2018 Interactive multi-objective optimization for simulated moving bed processes. Zbl 1138.90005 Hakanen, Jussi; Kawajiri, Yoshiaki; Miettinen, Kaisa; Biegler, Lorenz T. 2 2007 A first-order convergence analysis of trust-region methods with inexact Jacobians and inequality constraints. Zbl 1242.90244 Walther, Andrea; Vetukuri, Sree Rama Raju; Biegler, Lorenz T. 2 2012 Efficient nonlinear programming algorithms for chemical process control and operations. Zbl 1189.90222 Biegler, Lorenz T. 2 2009 Structured regularization for barrier NLP solvers. Zbl 1369.90171 Wan, Wei; Biegler, Lorenz T. 2 2017 Modeling and simulation of metabolic networks for estimation of biomass accumulation parameters. Zbl 1172.92010 Kaplan, U.; Türkay, M.; Biegler, L.; Karasözen, B. 1 2009 Real-time, large-scale optimization of water network systems using a subdomain approach. Zbl 1227.90009 Laird, Carl D.; Biegler, Lorenz T.; van Bloemen Waanders, Bart G. 1 2007 SQP SAND strategies that link to existing modeling systems. Zbl 1063.65042 Biegler, Lorenz T.; Wächter, Andreas 1 2003 rSQP++: An object-oriented framework for successive quadratic programming. Zbl 1064.65033 Barlett, Roscoe A.; Biegler, Lorenz T. 1 2003 Large-scale optimization with applications. Part 3: Molecular structure and optimization. Proceedings of a 3-week workshop, July 10–28, 1995, IMA, University of Minnesota, Minneapolis, MN, USA. Zbl 0872.00044 1 1997 A multiplier-free, reduced Hessian method for process optimization. Zbl 0888.90151 Biegler, Lorenz T.; Schmid, Claudia; Ternet, David 1 1997 Optimization of supply chain systems with price elasticity of demand. Zbl 1243.90148 Kaplan, Uğur; Türkay, Metin; Karasözen, Bülent; Biegler, Lorenz T. 1 2011 Robust stability of nonlinear model predictive control with extended Kalman filter and target setting. Zbl 1271.93117 Huang, Rui; Patwardhan, Sachin C.; Biegler, Lorenz T. 1 2013 Nonlinear programming strategies for state estimation and model predictive control. Zbl 1195.93019 Zavala, Victor M.; Biegler, Lorenz T. 1 2009 pyomo.dae: a modeling and automatic discretization framework for optimization with differential and algebraic equations. Zbl 1402.49029 Nicholson, Bethany; Siirola, John D.; Watson, Jean-Paul; Zavala, Victor M.; Biegler, Lorenz T. 3 2018 Structured regularization for barrier NLP solvers. Zbl 1369.90171 Wan, Wei; Biegler, Lorenz T. 2 2017 On an inexact trust-region SQP-filter method for constrained nonlinear optimization. Zbl 1362.90344 Walther, Andrea; Biegler, Lorenz 4 2016 A trust-region framework for constrained optimization using reduced order modeling. Zbl 1293.76109 Agarwal, Anshul; Biegler, Lorenz T. 9 2013 Robust stability of nonlinear model predictive control with extended Kalman filter and target setting. Zbl 1271.93117 Huang, Rui; Patwardhan, Sachin C.; Biegler, Lorenz T. 1 2013 DAEs, control, and optimization. Zbl 1317.65143 Biegler, Lorenz; Campbell, Stephen L.; Mehrmann, Volker 12 2012 Optimal sensitivity based on IPOPT. Zbl 1291.90247 Pirnay, Hans; López-Negrete, Rodrigo; Biegler, Lorenz T. 7 2012 Control and optimization with differential-algebraic constraints. Selected papers based on the presentations at the workshop, Banff, Canada, October 24–29, 2010. Zbl 1256.65001 5 2012 A first-order convergence analysis of trust-region methods with inexact Jacobians and inequality constraints. Zbl 1242.90244 Walther, Andrea; Vetukuri, Sree Rama Raju; Biegler, Lorenz T. 2 2012 Large-scale inverse problems and quantification of uncertainty. Zbl 1203.62002 27 2011 Numerical experiments with an inexact Jacobian trust-region algorithm. Zbl 1219.90166 Walther, Andrea; Biegler, Lorenz T. 4 2011 Optimization of supply chain systems with price elasticity of demand. Zbl 1243.90148 Kaplan, Uğur; Türkay, Metin; Karasözen, Bülent; Biegler, Lorenz T. 1 2011 Nonlinear programming. Concepts, algorithms, and applications in chemical processes. Zbl 1207.90004 Biegler, Lorenz T. 57 2010 The advanced-step NMPC controller: Optimality, stability and robustness. Zbl 1154.93364 Zavala, Victor M.; Biegler, Lorenz T. 24 2009 Efficient nonlinear programming algorithms for chemical process control and operations. Zbl 1189.90222 Biegler, Lorenz T. 2 2009 Modeling and simulation of metabolic networks for estimation of biomass accumulation parameters. Zbl 1172.92010 Kaplan, U.; Türkay, M.; Biegler, L.; Karasözen, B. 1 2009 Nonlinear programming strategies for state estimation and model predictive control. Zbl 1195.93019 Zavala, Victor M.; Biegler, Lorenz T. 1 2009 An algorithmic framework for convex mixed integer nonlinear programs. Zbl 1151.90028 Bonami, Pierre; Biegler, Lorenz T.; Conn, Andrew R.; Cornuéjols, Gérard; Grossmann, Ignacio E.; Laird, Carl D.; Lee, Jon; Lodi, Andrea; Margot, François; Sawaya, Nicolas; Wächter, Andreas 198 2008 Convergence rates for direct transcription of optimal control problems using collocation at Radau points. Zbl 1219.49029 Kameswaran, Shivakumar; Biegler, Lorenz T. 30 2008 Advantages of nonlinear-programming-based methodologies for inequality path-constrained optimal control problems – a numerical study. Zbl 1157.49038 Kameswaran, Shivakumar; Biegler, Lorenz T. 7 2008 Fast implementations and rigorous models: can both be accommodated in NMPC? Zbl 1284.93105 Zavala, Victor M.; Laird, Carl D.; Biegler, Lorenz T. 4 2008 Real-time PDE-constrained optimization. Zbl 1117.49004 24 2007 Assessment and future directions of nonlinear model predictive control. Selected papers based on the presentations at the workshop (NMPC05), Freudenstadt-Lauterbad, Germany, August 26–30, 2005. Zbl 1116.93009 9 2007 Trajectory control of multiple aircraft: an NMPC approach. Zbl 1220.49024 Arrieta-Camacho, Juan J.; Biegler, Lorenz T.; Subramanian, Dharmashankar 3 2007 Interactive multi-objective optimization for simulated moving bed processes. Zbl 1138.90005 Hakanen, Jussi; Kawajiri, Yoshiaki; Miettinen, Kaisa; Biegler, Lorenz T. 2 2007 Real-time, large-scale optimization of water network systems using a subdomain approach. Zbl 1227.90009 Laird, Carl D.; Biegler, Lorenz T.; van Bloemen Waanders, Bart G. 1 2007 On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming. Zbl 1134.90542 Wächter, Andreas; Biegler, Lorenz T. 976 2006 Parameter estimation in metabolic flux balance models for batch fermentation – formulation and solution using differential variational inequalities (DVIs). Zbl 1106.92023 Raghunathan, Arvind U.; Pérez-Correa, J. Ricardo; Agosin, Eduardo; Biegler, Lorenz T. 22 2006 QPSchur: A dual, active-set, Schur-complement method for large-scale and structured convex quadratic programming. Zbl 1167.90615 Bartlett, Roscoe A.; Biegler, Lorenz T. 14 2006 Line search filter methods for nonlinear programming: motivation and global convergence. Zbl 1114.90128 Wächter, Andreas; Biegler, Lorenz T. 134 2005 Line search filter methods for nonlinear programming: local convergence. Zbl 1115.90056 Wächter, Andreas; Biegler, Lorenz T. 97 2005 An interior point method for mathematical programs with complementarity constraints (MPCCs). Zbl 1077.90079 Raghunathan, Arvind U.; Biegler, Lorenz T. 31 2005 A trust region SQP algorithm for equality constrained parameter estimation with simple parameter bounds. Zbl 1056.90139 Arora, Nikhil; Biegler, Lorenz T. 7 2004 Large-scale PDE-constrained optimization. Zbl 1021.00015 28 2003 Large-scale PDE-constrained optimization: an introduction. Zbl 1094.49500 Biegler, Lorenz T.; Ghattas, Omar; Heinkenschloss, Matthias; van Bloemen Waanders, Bart 22 2003 SQP SAND strategies that link to existing modeling systems. Zbl 1063.65042 Biegler, Lorenz T.; Wächter, Andreas 1 2003 rSQP++: An object-oriented framework for successive quadratic programming. Zbl 1064.65033 Barlett, Roscoe A.; Biegler, Lorenz T. 1 2003 Failure of global convergence for a class of interior point methods for nonlinear programming. Zbl 0963.65063 Wächter, Andreas; Biegler, Lorenz T. 29 2000 Efficient solution of dynamic optimization and NMPC problems. Zbl 0966.93048 Biegler, Lorenz T. 8 2000 Numerical experience with a reduced Hessian method for large scale constrained optimization. Zbl 0942.90025 Biegler, Lorenz T.; Nocedal, Jorge; Schmid, Claudia; Ternet, David 6 2000 A stable elemental decomposition for dynamic process optimization. Zbl 0970.65071 Cervantes, Arturo M.; Biegler, Lorenz T. 5 2000 A successive linear programming approach for initialization and reinitialization after discontinuities of differential-algebraic equations. Zbl 0927.65092 Gopal, Vipin; Biegler, Lorenz T. 4 1999 Large-scale optimization with applications. Part 3: Molecular structure and optimization. Proceedings of a 3-week workshop, July 10–28, 1995, IMA, University of Minnesota, Minneapolis, MN, USA. Zbl 0872.00044 1 1997 A multiplier-free, reduced Hessian method for process optimization. Zbl 0888.90151 Biegler, Lorenz T.; Schmid, Claudia; Ternet, David 1 1997 A reduced Hessian method for large-scale constrained optimization. Zbl 0828.65061 Biegler, Lorenz T.; Nocedal, Jorge; Schmid, Claudia 19 1995 An extension of Newton-type algorithms for nonlinear process control. Zbl 0825.93181 de Oliveira, Nuno M. C.; Biegler, Lorenz T. 7 1995 all cited Publications top 5 cited Publications all top 5 Cited by 2,549 Authors 31 Zhu, Detong 24 Maurer, Helmut 23 Biegler, Lorenz T. 22 Diehl, Moritz Mathias 21 Trélat, Emmanuel 17 Gu, Chao 17 Leyffer, Sven 16 Lodi, Andrea 15 Kaya, C. Yalçin 15 Schmidt, Martin 14 Martínez, José Mario 13 Bonami, Pierre 13 D’Ambrosio, Claudia 13 Romanova, Tatiana E. 13 Sager, Sebastian 13 Stoyan, Yuriĭ Grygorovych 13 Zuazua, Enrique 12 Lee, Jon 12 Rao, Anil V. 11 Armand, Paul 11 Birgin, Ernesto G. 11 Chen, Zhongwen 11 Hager, William W. 11 Pu, Dingguo 11 Shen, Chungen 10 Kirches, Christian 10 Liberti, Leo 10 Orban, Dominique 9 Curtis, Frank E. 9 Gleixner, Ambros M. 9 Huang, Nan-Jing 9 Mitsos, Alexander 9 Rumpf, Martin 9 Wang, Zhujun 8 Alvarez-Vázquez, Lino Jose 8 Buchheim, Christoph 8 Choi, Youngsoo 8 Fernandes, Edite M. G. P. 8 Grossmann, Ignacio E. 8 Houska, Boris 8 Kronqvist, Jan 8 Lubin, Miles 8 Misener, Ruth 8 Petra, Cosmin G. 8 Qiu, Songqiang 8 Quirynen, Rien 8 Vielma, Juan Pablo 8 Vigerske, Stefan 8 Wang, Xing 7 Benoist, Joël 7 Berthold, Timo 7 Burachik, Regina Sandra 7 Dai, Yu-Hong 7 Fampa, Marcia Helena C. 7 Fernández, Francisco Javier 7 Ghattas, Omar N. 7 Júdice, Joaquim João 7 Litvinchev, Igor S. 7 Martinez, Aurea 7 Najman, Jaromił 7 Perotto, Simona 7 Privat, Yannick 7 Sahinidis, Nikolaos V. 7 Torres, Delfim Fernando Marado 7 Wächter, Andreas 7 Zavala, Victor M. 6 Belotti, Pietro 6 Bonnans, Joseph Frédéric 6 Cafieri, Sonia 6 Campbell, Stephen LaVern 6 Costa, M. Fernanda P. 6 de Pinho, Maria do Rosário 6 Kanzow, Christian 6 Micheletti, Stefano 6 Müller, Benjamin 6 Nocedal, Jorge 6 Omheni, Riadh 6 Pankratov, Alexandr 6 Pecci, Filippo 6 Robinson, Daniel P. 6 Silva, Cristiana J. 6 Stein, Oliver 6 Steinbach, Marc Christian 6 Stoianov, Ivan 6 Xue, Wenjuan 5 Andreani, Roberto 5 Benson, Hande Y. 5 Bock, Hans Georg 5 Bongartz, Dominik 5 Christofides, Panagiotis D. 5 de Oliveira, Welington Luis 5 Faulwasser, Timm 5 Ferro, Nicola 5 Floudas, Christodoulos Achilleus 5 Gerdts, Matthias 5 Göttlich, Simone 5 Humpola, Jesco 5 Kuhlmann, Renke 5 Linderoth, Jeff T. 5 Liu, Xinwei ...and 2,449 more Authors all top 5 Cited in 245 Serials 78 Computational Optimization and Applications 63 Mathematical Programming. Series A. Series B 60 Journal of Global Optimization 54 Optimization and Engineering 53 Journal of Optimization Theory and Applications 52 European Journal of Operational Research 51 Automatica 49 Optimization Methods & Software 42 Computer Methods in Applied Mechanics and Engineering 35 SIAM Journal on Optimization 33 Mathematical Programming Computation 25 Applied Mathematics and Computation 24 Optimal Control Applications & Methods 22 Journal of Computational and Applied Mathematics 21 SIAM Journal on Scientific Computing 20 International Journal of Robust and Nonlinear Control 18 Journal of Computational Physics 18 Optimization 17 Journal of Industrial and Management Optimization 16 Computers & Operations Research 15 International Journal of Control 15 Numerical Algorithms 15 INFORMS Journal on Computing 14 Applied Mathematical Modelling 14 Optimization Letters 13 Annals of Operations Research 12 Mathematical Problems in Engineering 12 EURO Journal on Computational Optimization 11 SIAM Journal on Control and Optimization 11 International Journal of Computer Mathematics 11 European Journal of Control 10 Journal of the Franklin Institute 9 Operations Research Letters 8 Cybernetics and Systems Analysis 8 International Transactions in Operational Research 8 Mathematical Biosciences and Engineering 7 Mathematical Biosciences 7 International Journal for Numerical Methods in Engineering 7 Mathematical Methods of Operations Research 7 Discrete and Continuous Dynamical Systems. Series B 6 Journal of Mathematical Biology 6 Applied Numerical Mathematics 6 Journal of Scientific Computing 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Multibody System Dynamics 6 International Journal of Applied Mathematics and Computer Science 6 Journal of Systems Science and Complexity 6 Journal of Applied Mathematics and Computing 6 Mathematical Control and Related Fields 5 Computers & Mathematics with Applications 5 Applied Mathematics and Optimization 5 Mathematics of Operations Research 5 Systems & Control Letters 5 Acta Applicandae Mathematicae 5 Top 5 Nonlinear Dynamics 5 Vietnam Journal of Mathematics 5 Numerical Algebra, Control and Optimization 5 SIAM/ASA Journal on Uncertainty Quantification 4 Journal of Fluid Mechanics 4 Mathematics of Computation 4 Computer Aided Geometric Design 4 SIAM Journal on Matrix Analysis and Applications 4 SIAM Review 4 Journal of Mathematical Imaging and Vision 4 Computational and Applied Mathematics 4 Discrete and Continuous Dynamical Systems 3 Computers and Fluids 3 Computer Physics Communications 3 Fuzzy Sets and Systems 3 Numerical Functional Analysis and Optimization 3 Operations Research 3 SIAM Journal on Numerical Analysis 3 Computational Mechanics 3 Machine Learning 3 Japan Journal of Industrial and Applied Mathematics 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 SIAM Journal on Applied Mathematics 3 SIAM Journal on Mathematical Analysis 3 Advances in Computational Mathematics 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Computational Geosciences 3 Quantitative Finance 3 Structural and Multidisciplinary Optimization 3 Acta Numerica 3 SIAM Journal on Imaging Sciences 3 Discrete and Continuous Dynamical Systems. Series S 3 International Journal of Systems Science. Principles and Applications of Systems and Integration 3 OJMO. Open Journal of Mathematical Optimization 2 Artificial Intelligence 2 Archive for Rational Mechanics and Analysis 2 Biological Cybernetics 2 Communications on Pure and Applied Mathematics 2 Discrete Applied Mathematics 2 Inverse Problems 2 Journal of Mathematical Analysis and Applications 2 Bulletin of Mathematical Biology 2 Biometrics 2 Computing 2 Information Sciences ...and 145 more Serials all top 5 Cited in 38 Fields 827 Operations research, mathematical programming (90-XX) 415 Calculus of variations and optimal control; optimization (49-XX) 410 Numerical analysis (65-XX) 233 Systems theory; control (93-XX) 104 Biology and other natural sciences (92-XX) 88 Partial differential equations (35-XX) 79 Mechanics of deformable solids (74-XX) 75 Computer science (68-XX) 57 Statistics (62-XX) 57 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 51 Fluid mechanics (76-XX) 46 Ordinary differential equations (34-XX) 29 Mechanics of particles and systems (70-XX) 24 Dynamical systems and ergodic theory (37-XX) 21 Probability theory and stochastic processes (60-XX) 18 Information and communication theory, circuits (94-XX) 14 Convex and discrete geometry (52-XX) 9 Geophysics (86-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Approximations and expansions (41-XX) 6 Differential geometry (53-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Combinatorics (05-XX) 5 Real functions (26-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Operator theory (47-XX) 4 Optics, electromagnetic theory (78-XX) 4 Quantum theory (81-XX) 3 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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