Edit Profile (opens in new tab) Herty, Michael Matthias Compute Distance To: Compute Author ID: herty.michael-matthias Published as: Herty, Michael; Herty, M.; Herty, Michaël; Herty, Michael Matthias more...less External Links: MGP Documents Indexed: 174 Publications since 2003, including 2 Books 1 Contribution as Editor Co-Authors: 130 Co-Authors with 171 Joint Publications 2,417 Co-Co-Authors all top 5 Co-Authors 4 single-authored 22 Klar, Axel 19 Göttlich, Simone 14 Gugat, Martin 13 Banda, Mapundi Kondwani 12 Pareschi, Lorenzo 10 Moutari, Salissou 10 Visconti, Giuseppe 9 Frank, Martin 8 Ringhofer, Christian A. 8 Seaïd, Mohammed 8 Steffensen, Sonja 7 Schleper, Veronika 5 Armbruster, Dieter 5 Fügenschuh, Armin R. 5 Gerster, Stephan 5 Kirchner, Claus 5 Piccoli, Benedetto 5 Singh, Anita Kumari 4 Albi, Giacomo 4 Colombo, Rinaldo M. 4 Illner, Reinhard 4 Jörres, Christian 4 Kurganov, Alexander 4 Leugering, Günter 4 Ngnotchouye, Jean-Medard T. 4 Rascle, Michel 3 Bambach, Markus 3 Chertock, Alina E. 3 Degond, Pierre 3 Guerra, Graziano 3 Heinkenschloss, Matthias 3 Martin, Alexander 3 Müller, Siegfried 3 Sachers, Veronika 3 Sandjo, Albert N. 3 Sikstel, Aleksey 3 Tervo, Jouko 3 Yu, Hui 3 Zhao, Lindu 3 Ziegler, Ute 2 Barnard, Richard C. 2 Bittner, Stefan 2 Dick, Markus 2 Häck, Axel-Stefan 2 Iacomini, Elisa 2 Kokkonen, Petri 2 Kurochkin, Dmitry 2 Liu, Jianguo 2 Mantri, Yogiraj 2 Marcellini, Francesca 2 Meuth, Sven G. 2 Michailidis, Lena 2 Noelle, Sebastian 2 Pinnau, René 2 Thömmes, Guido 2 Trimborn, Torsten 2 Wang, Xinping 2 Zanella, Mattia 2 Ziegler, Marcus 1 Ahmedov, Bahodir B. 1 Alghosoun, Alia 1 Behr, Marek A. 1 Bressan, Alberto 1 Brouwer, Jens 1 Bücker, H. Martin 1 Budde, Thomas 1 Čanić, Sunčica 1 Cheng, Yuanzhen 1 Chertkov, Michael 1 Costeseque, Guillaume 1 D’Apice, Ciro 1 Dittel, Agnes 1 Dong, Ming 1 Ehling, Petra 1 Eichinger, Paul 1 Fan, Shimao 1 Fazekas, Adrian 1 Forestier-Coste, L. 1 Garavello, Mauro 1 Gasser, Ingenuin 1 Grepl, Martin A. 1 Hameister, Kathinka 1 Hauck, Cory D. 1 He, Fenglan 1 Heppner, Stephan 1 Herrmann, Alexander M. 1 Hinze, Michael 1 Holle, Yannick 1 Hüser, Jonathan 1 Izem, Nouh 1 Kalise, Dante 1 Kayser, Kirk 1 La Marca, Michael 1 Lebacque, Jean Patrick 1 Mercier, Magali 1 Meuth, Patrick 1 Milde, Anja 1 Motsch, Sébastien 1 Naumann, Uwe 1 Oeser, Markus ...and 30 more Co-Authors all top 5 Serials 20 Networks and Heterogeneous Media 11 Communications in Mathematical Sciences 11 Kinetic and Related Models 8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 SIAM Journal on Applied Mathematics 5 Mathematical Methods in the Applied Sciences 5 SIAM Journal on Scientific Computing 4 Computational Optimization and Applications 3 Applied Mathematics and Computation 3 Journal of Computational and Applied Mathematics 3 Applied Mathematical Modelling 3 SIAM Journal on Mathematical Analysis 3 Optimization Methods & Software 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Computational Methods in Applied Mathematics 3 Multiscale Modeling & Simulation 2 International Journal of Control 2 International Journal for Numerical Methods in Fluids 2 Inverse Problems 2 Journal of Computational Physics 2 Journal of Mathematical Analysis and Applications 2 SIAM Journal on Control and Optimization 2 Optimal Control Applications & Methods 2 Optimization 2 Journal of Scientific Computing 2 European Journal of Operational Research 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 PAMM. Proceedings in Applied Mathematics and Mechanics 2 Mathematical Control and Related Fields 1 Computers & Mathematics with Applications 1 IMA Journal of Applied Mathematics 1 Journal of Engineering Mathematics 1 Transport Theory and Statistical Physics 1 Automatica 1 Computing 1 IEEE Transactions on Automatic Control 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 SIAM Journal on Numerical Analysis 1 Applied Numerical Mathematics 1 Computers & Operations Research 1 Numerical Methods for Partial Differential Equations 1 SIAM Journal on Optimization 1 Computational and Applied Mathematics 1 Methods and Applications of Analysis 1 Discrete and Continuous Dynamical Systems 1 International Transactions in Operational Research 1 Vietnam Journal of Mathematics 1 Mathematical & Computational Applications 1 Computational Geosciences 1 Journal of Applied Mathematics and Computing 1 Mathematical Medicine and Biology 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Mathematics in Industry 1 Advanced Modeling and Optimization 1 Communications in Computational Physics 1 Communications in Applied and Industrial Mathematics 1 Journal of Theoretical Biology 1 EMS Surveys in Mathematical Sciences 1 Foundations of Data Science all top 5 Fields 99 Partial differential equations (35-XX) 72 Operations research, mathematical programming (90-XX) 47 Numerical analysis (65-XX) 40 Calculus of variations and optimal control; optimization (49-XX) 37 Fluid mechanics (76-XX) 28 Systems theory; control (93-XX) 16 Biology and other natural sciences (92-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Statistical mechanics, structure of matter (82-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Astronomy and astrophysics (85-XX) 3 Ordinary differential equations (34-XX) 3 Computer science (68-XX) 3 Mechanics of particles and systems (70-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Integral equations (45-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 1 Combinatorics (05-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 139 Publications have been cited 1,376 times in 656 Documents Cited by ▼ Year ▼ Gas flow in pipeline networks. Zbl 1108.76063Banda, Mapundi K.; Herty, Michael; Klar, Axel 75 2006 Flows on networks: recent results and perspectives. Zbl 1301.35193Bressan, Alberto; Čanić, Sunčica; Garavello, Mauro; Herty, Michael; Piccoli, Benedetto 73 2014 Coupling conditions for gas networks governed by the isothermal Euler equations. Zbl 1109.76052Banda, Mapundi K.; Herty, Michael; Klar, Axel 68 2006 Control of the continuity equation with a non local flow. Zbl 1232.35176Colombo, Rinaldo M.; Herty, Michael; Mercier, Magali 49 2011 Gas pipeline models revisited: model hierarchies, nonisothermal models, and simulations of networks. Zbl 1254.76124Brouwer, Jens; Gasser, Ingenuin; Herty, Michael 43 2011 Kinetic description of optimal control problems and applications to opinion consensus. Zbl 1325.49001Albi, Giacomo; Herty, Michael; Pareschi, Lorenzo 35 2015 Optimal control in networks of pipes and canals. Zbl 1196.35135Colombo, R. M.; Guerra, G.; Herty, M.; Schleper, V. 34 2009 Existence of classical solutions and feedback stabilization for the flow in gas networks. Zbl 1429.76090Gugat, Martin; Herty, Michaël 34 2011 Coupling conditions for a class of second-order models for traffic flow. Zbl 1296.35094Herty, M.; Rascle, M. 33 2007 Modeling, simulation, and optimization of traffic flow networks. Zbl 1046.90014Herty, M.; Klar, A. 33 2003 Network models for supply chains. Zbl 1115.90008Göttlich, S.; Herty, M.; Klar, A. 30 2005 Optimal control for traffic flow networks. Zbl 1079.49024Gugat, M.; Herty, M.; Klar, A.; Leugering, G. 30 2005 On \(2\times2\) conservation laws at a junction. Zbl 1171.35430Colombo, R. M.; Herty, M.; Sachers, V. 30 2008 Flow control in gas networks: exact controllability to a given demand. Zbl 1394.76112Gugat, M.; Herty, M.; Schleper, V. 28 2011 Control of continuum models of production systems. Zbl 1368.90056La Marca, Michael; Armbruster, Dieter; Herty, Michael; Ringhofer, Christian 28 2010 A new model for gas flow in pipe networks. Zbl 1334.76131Herty, M.; Mohring, J.; Sachers, V. 24 2010 Comparative model accuracy of a data-fitted generalized Aw-Rascle-Zhang model. Zbl 1304.35700Fan, Shimao; Herty, Michael; Seibold, Benjamin 23 2014 Existence of solutions for supply chain models based on partial differential equations. Zbl 1165.90356Herty, M.; Klar, A.; Piccoli, B. 18 2007 Modelling and optimization of supply chains on complex networks. Zbl 1115.90009Göttlich, S.; Herty, M.; Klar, A. 18 2006 Fokker-Planck asymptotics for traffic flow models. Zbl 1185.90036Herty, Michael; Pareschi, Lorenzo 18 2010 Modeling, simulation, and optimization of supply chains. A continuous approach. Zbl 1205.90003D’Arice, Ciro; Göttlich, Simone; Herty, Michael; Piccoli, Benedetto 17 2010 Optimization criteria for modelling intersections of vehicular traffic flow. Zbl 1131.90016Herty, M.; Moutari, S; Rascle, M. 16 2006 A discrete optimization approach to large scale supply networks based on partial differential equations. Zbl 1161.90002Fügenschuh, A.; Göttlich, S.; Herty, M.; Klar, A.; Martin, A. 16 2008 Modeling, simulation and optimization of gas networks with compressors. Zbl 1132.76045Herty, Michael 15 2007 Toward a mathematical analysis for drift-flux multiphase flow models in networks. Zbl 1213.35031Banda, Mapundi K.; Herty, Michael; Ngnotchouye, Jean-Medard T. 15 2010 Mean-field games and model predictive control. Zbl 1383.93029Degond, Pierre; Herty, Michael; Liu, Jian-Guo 15 2017 Combinatorial and continuous models for the optimization of traffic flows on networks. Zbl 1131.90015Fügenschuh, A.; Herty, M.; Klar, A.; Martin, A. 14 2006 Optimal control for continuous supply network models. Zbl 1131.90009Kirchner, Claus; Herty, Michael; Göttlich, Simone; Klar, Axel 14 2006 Coupling conditions for networked systems of Euler equations. Zbl 1173.35080Herty, Michael 14 2008 Simulation of transient gas flow at pipe-to-pipe intersections. Zbl 1130.76068Herty, Michael; Seaïd, Mohammed 13 2008 A novel model for intersections of vehicular traffic flow. Zbl 1187.35137Herty, Michael; Lebacque, J.-P.; Moutari, S. 12 2009 The smoothed-penalty algorithm for state constrained optimal control problems for partial differential equations. Zbl 1201.90186Gugat, Martin; Herty, Michael 12 2010 Electric transmission lines: control and numerical discretization. Zbl 1348.93028Göttlich, Simone; Herty, Michael; Schillen, Peter 12 2016 A new approach for designing moving-water equilibria preserving schemes for the shallow water equations. Zbl 1418.76033Cheng, Yuanzhen; Chertock, Alina; Herty, Michael; Kurganov, Alexander; Wu, Tong 12 2019 Well-posedness of networked hyperbolic systems of balance laws. Zbl 1356.49004Gugat, Martin; Herty, Michael; Klar, Axel; Leugering, Günther; Schleper, Veronika 11 2012 Numerical discretization of stabilization problems with boundary controls for systems of hyperbolic conservation laws. Zbl 1262.65068Banda, Mapundi K.; Herty, Michael 11 2013 Optimal treatment planning in radiotherapy based on Boltzmann transport calculations. Zbl 1143.76058Frank, Martin; Herty, Michael; Schäfer, Matthias 10 2008 A macro-kinetic hybrid model for traffic flow on road networks. Zbl 1194.35257Herty, M.; Moutari, S. 10 2009 A spatial domain decomposition method for parabolic optimal control problems. Zbl 1117.65099Heinkenschloss, Matthias; Herty, Michael 10 2007 Adjoint calculus for optimization of gas networks. Zbl 1141.76057Herty, Michael; Sachers, Veronika 10 2007 Optimal radiotherapy treatment planning governed by kinetic equations. Zbl 1255.49007Frank, Martin; Herty, Michael; Sandjo, Albert N. 10 2010 Adjoint IMEX-based schemes for control problems governed by hyperbolic conservation laws. Zbl 1241.65055Banda, Mapundi K.; Herty, Michael 10 2012 Performance bounds for the mean-field limit of constrained dynamics. Zbl 1366.35203Herty, Michael; Zanella, Mattia 10 2017 Kinetic methods for inverse problems. Zbl 1420.35417Herty, Michael; Visconti, Giuseppe 10 2019 Modeling and optimizing traffic light settings in road networks. Zbl 1348.90186Göttlich, Simone; Herty, Michael; Ziegler, Ute 9 2015 The BGK approximation of kinetic models for traffic. Zbl 1437.90042Herty, Michael; Puppo, Gabriella; Roncoroni, Sebastiano; Visconti, Giuseppe 9 2020 Mean-field control and Riccati equations. Zbl 1332.35372Herty, Michael; Pareschi, Lorenzo; Steffensen, Sonja 8 2015 Optimization of order policies in supply networks. Zbl 1175.90064Göttlich, S.; Herty, M.; Ringhofer, C. 8 2010 A scalar conservation law with discontinuous flux for supply chains with finite buffers. Zbl 1231.90154Armbruster, Dieter; Göttlich, Simone; Herty, Michael 8 2011 Instantaneous control for traffic flow. Zbl 1117.90030Herty, M.; Kirchner, C.; Klar, A. 8 2007 Discrete-velocity models and relaxation schemes for traffic flows. Zbl 1344.65081Herty, Michael; Pareschi, Lorenzo; Seaid, Mohammed 8 2006 Simplified dynamics and optimization of large scale traffic networks. Zbl 1077.90012Herty, Michael; Klar, Axel 8 2004 Multiscale modeling for gas flow in pipe networks. Zbl 1142.93304Banda, Mapundi K.; Herty, Michael 8 2008 Numerical method for optimal control problems governed by nonlinear hyperbolic systems of PDEs. Zbl 1308.49020Herty, Michael; Kurganov, Alexander; Kurochkin, Dmitry 8 2015 Averaged kinetic models for flows on unstructured networks. Zbl 1242.90035Herty, Michael; Ringhofer, Christian 8 2011 Hybrid stochastic kinetic description of two-dimensional traffic dynamics. Zbl 1403.35196Herty, Michael; Tosin, Andrea; Visconti, Giuseppe; Zanella, Mattia 8 2018 Optimal control in radiative transfer. Zbl 1128.49021Herty, Michael; Pinnau, René; Seaïd, Mohammed 7 2007 Numerical discretization of Hamilton-Jacobi equations on networks. Zbl 1274.90077Göttlich, Simone; Ziegler, Ute; Herty, Michael 7 2013 Well-balanced central-upwind schemes for \(2\times 2\) systems of balance laws. Zbl 1407.65143Chertock, Alina; Herty, Michael; Özcan, Şeyma Nur 7 2018 Feedback boundary control of linear hyperbolic systems with relaxation. Zbl 1338.93299Herty, Michael; Yong, Wen-An 6 2016 On stop-and-go waves in dense traffic. Zbl 1165.90374Herty, Michael; Illner, Reinhard 6 2008 Smoothed penalty algorithms for optimization of nonlinear models. Zbl 1181.90222Herty, M.; Klar, A.; Singh, A. K.; Spellucci, P. 6 2007 Enskog-like discrete velocity models for vehicular traffic flow. Zbl 1232.90131Herty, Michael; Pareschi, Lorenzo; Seaïd, Mohammed 6 2007 Asymptotic and discrete concepts for optimal control in radiative transfer. Zbl 1123.78006Herty, M.; Pinnau, R.; Thömmes, G. 6 2007 Data-fitted second-order macroscopic production models. Zbl 1319.90023Forestier-Coste, L.; Göttlich, S.; Herty, M. 6 2015 Relaxation approaches to the optimal control of the Euler equations. Zbl 1231.49028Ngnotchouye, Jean Medard T.; Herty, Michael; Steffensen, Sonja; Banda, Mapundi K. 6 2011 Hyperbolic stochastic Galerkin formulation for the \(p\)-system. Zbl 1452.65017Gerster, Stephan; Herty, Michael; Sikstel, Aleksey 6 2019 Macroscopic modeling of multilane motorways using a two-dimensional second-order model of traffic flow. Zbl 1395.90078Herty, Michael; Moutari, Salissou; Visconti, Giuseppe 6 2018 Numerical discretization of coupling conditions by high-order schemes. Zbl 1348.35287Banda, Mapundi K.; Häck, Axel-Stefan; Herty, Michael 6 2016 A two-dimensional data-driven model for traffic flow on highways. Zbl 1405.90044Herty, Michael; Fazekas, Adrian; Visconti, Giuseppe 6 2018 Joint replenishment and carbon trading in fresh food supply chains. Zbl 1430.90146Wang, Min; Zhao, Lindu; Herty, Michael 6 2019 Multi-class traffic models on road networks. Zbl 1296.90026Herty, M.; Kirchner, C.; Moutari, S. 5 2006 Analytical and numerical investigations of refined macroscopic traffic flow models. Zbl 1200.90044Herty, Michael; Illner, Reinhard 5 2010 From traffic and pedestrian follow-the-leader models with reaction time to first order convection-diffusion flow models. Zbl 1387.35102Tordeux, Antoine; Costeseque, Guillaume; Herty, Michael; Seyfried, Armin 5 2018 Implicit-explicit Runge-Kutta schemes for numerical discretization of optimal control problems. Zbl 1287.65049Herty, M.; Pareschi, L.; Steffensen, S. 5 2013 Consistent mean field optimality conditions for interacting agent systems. Zbl 1428.82027Herty, Michael; Ringhofer, Christian 5 2019 Towards a space mapping approach to dynamic compressor optimization of gas networks. Zbl 1223.90035Banda, Mapundi K.; Herty, Michael 4 2011 Coupling drift-flux models with unequal sonic speeds. Zbl 1269.76091Banda, Mapundi K.; Herty, Michael; Ngnotchouye, Jean-Medard T. 4 2010 Conservation law constrained optimization based upon Front-Tracking. Zbl 1116.65079Gugat, Martin; Herty, Michaël; Klar, Axel; Leugering, Gunter 4 2006 A method for model identification and parameter estimation. Zbl 1334.65187Bambach, M.; Heinkenschloss, M.; Herty, M. 4 2013 Coupling conditions for the transition from supersonic to subsonic fluid states. Zbl 1379.35241Gugat, Martin; Herty, Michael; Müller, Siegfried 4 2017 On existence of solutions for Boltzmann continuous slowing down transport equation. Zbl 1382.35183Tervo, J.; Kokkonen, P.; Frank, M.; Herty, M. 4 2018 Feedback controls for continuous priority models in supply chain management. Zbl 1283.93151Herty, Michael; Ringhofer, Christian 4 2011 Continuous limits for constrained ensemble Kalman filter. Zbl 1458.65063Herty, Michael; Visconti, Giuseppe 4 2020 Stabilization of networked hyperbolic systems with boundary feedback. Zbl 1327.93312Dick, Markus; Gugat, Martin; Herty, Michael; Leugering, Günter; Steffensen, Sonja; Wang, Ke 3 2014 Erratum to: “Flow control in gas networks: exact controllability to a given demand”. Zbl 1464.76183Gugat, M.; Herty, M.; Schleper, V. 3 2015 A network model for supply chains with multiple policies. Zbl 1151.90002Degond, P.; Göttlich, S.; Herty, M.; Klar, A. 3 2007 On optimal treatment planning in radiotherapy governed by transport equations. Zbl 1227.49006Herty, Michael; Sandjo, Albert N. 3 2011 Efficient reformulation and solution of a nonlinear PDE-controlled flow network model. Zbl 1197.65068Fügenschuh, A.; Göttlich, S.; Herty, M.; Kirchner, C.; Martin, A. 3 2009 Traffic flow with unobservant drivers. Zbl 1235.90039Herty, M.; Schleper, V. 3 2011 Qualitative properties of solutions to systems of Fokker-Planck equations for multilane traffic flow. Zbl 1107.82041Herty, M.; Illner, R.; Klar, A.; Panferov, V. 3 2006 A domain decomposition method for conservation laws with discontinuous flux function. Zbl 1128.65078Herty, Michael; Seaïd, Mohammed; Singh, Anita K. 3 2007 General kinetic models for vehicular traffic flows and Monte-Carlo methods. Zbl 1114.90011Herty, M.; Klar, A.; Pareschi, L. 3 2005 Multicommodity flows on road networks. Zbl 1148.35050Herty, M.; Kirchner, C.; Moutari, S.; Rascle, M. 3 2008 Coupling of non-local driving behaviour with fundamental diagrams. Zbl 1262.90037Herty, Michael; Illner, Reinhard 3 2012 Existence of solution to supply chain models based on partial differential equation with discontinuous flux function. Zbl 1307.90062Herty, M.; Jörres, Ch.; Piccoli, B. 3 2013 Numerical methods for the optimal control of scalar conservation laws. Zbl 1266.49056Steffensen, Sonja; Herty, Michael; Pareschi, Lorenzo 3 2013 An Eulerian-Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs. Zbl 1306.49047Chertock, Alina; Herty, Michael; Kurganov, Alexander 3 2014 Modelling road traffic accidents using macroscopic second-order models of traffic flow. Zbl 1282.90044Moutari, S.; Herty, M.; Klein, A.; Oeser, M.; Steinauer, B.; Schleper, V. 3 2013 Optimization of a model Fokker-Planck equation. Zbl 1255.85018Herty, Michael; Jörres, Christian; Sandjo, Albert N. 3 2012 The BGK approximation of kinetic models for traffic. Zbl 1437.90042Herty, Michael; Puppo, Gabriella; Roncoroni, Sebastiano; Visconti, Giuseppe 9 2020 Continuous limits for constrained ensemble Kalman filter. Zbl 1458.65063Herty, Michael; Visconti, Giuseppe 4 2020 Entropies and symmetrization of hyperbolic stochastic Galerkin formulations. Zbl 07418512Gerster, Stephan; Herty, Michael 3 2020 Kinetic models of conservative economies with need-based transfers as welfare. Zbl 1434.35247Kayser, Kirk; Armbruster, Dieter; Herty, Michael 2 2020 Recent developments in controlled crowd dynamics. Zbl 07388859Banda, M. K.; Herty, M.; Trimborn, T. 1 2020 New coupling conditions for isentropic flow on networks. Zbl 1455.35193Holle, Yannick; Herty, Michael; Westdickenberg, Michael 1 2020 On approximation of a hyper-singular transport operator and existence of solutions. Zbl 1448.35358Tervo, J.; Herty, M. 1 2020 A new approach for designing moving-water equilibria preserving schemes for the shallow water equations. Zbl 1418.76033Cheng, Yuanzhen; Chertock, Alina; Herty, Michael; Kurganov, Alexander; Wu, Tong 12 2019 Kinetic methods for inverse problems. Zbl 1420.35417Herty, Michael; Visconti, Giuseppe 10 2019 Hyperbolic stochastic Galerkin formulation for the \(p\)-system. Zbl 1452.65017Gerster, Stephan; Herty, Michael; Sikstel, Aleksey 6 2019 Joint replenishment and carbon trading in fresh food supply chains. Zbl 1430.90146Wang, Min; Zhao, Lindu; Herty, Michael 6 2019 Consistent mean field optimality conditions for interacting agent systems. Zbl 1428.82027Herty, Michael; Ringhofer, Christian 5 2019 Discretized feedback control for systems of linearized hyperbolic balance laws. Zbl 1429.37056Gerster, Stephan; Herty, Michael 2 2019 Coupling of compressible Euler equations. Zbl 1434.35078Herty, Michael; Müller, Siegfried; Sikstel, Aleksey 2 2019 Fast and accurate simulations of shallow water equations in large networks. Zbl 1442.65259Herty, Michael; Izem, Nouh; Seaid, Mohammed 2 2019 Control strategies for the dynamics of large particle systems. Zbl 1453.93007Herty, Michael; Pareschi, Lorenzo; Steffensen, Sonja 1 2019 Well-balanced scheme for gas-flow in pipeline networks. Zbl 1435.35239Mantri, Yogiraj; Herty, Michael; Noelle, Sebastian 1 2019 Linear multistep methods for optimal control problems and applications to hyperbolic relaxation systems. Zbl 1428.49003Albi, G.; Herty, M.; Pareschi, L. 1 2019 Hybrid stochastic kinetic description of two-dimensional traffic dynamics. Zbl 1403.35196Herty, Michael; Tosin, Andrea; Visconti, Giuseppe; Zanella, Mattia 8 2018 Well-balanced central-upwind schemes for \(2\times 2\) systems of balance laws. Zbl 1407.65143Chertock, Alina; Herty, Michael; Özcan, Şeyma Nur 7 2018 Macroscopic modeling of multilane motorways using a two-dimensional second-order model of traffic flow. Zbl 1395.90078Herty, Michael; Moutari, Salissou; Visconti, Giuseppe 6 2018 A two-dimensional data-driven model for traffic flow on highways. Zbl 1405.90044Herty, Michael; Fazekas, Adrian; Visconti, Giuseppe 6 2018 From traffic and pedestrian follow-the-leader models with reaction time to first order convection-diffusion flow models. Zbl 1387.35102Tordeux, Antoine; Costeseque, Guillaume; Herty, Michael; Seyfried, Armin 5 2018 On existence of solutions for Boltzmann continuous slowing down transport equation. Zbl 1382.35183Tervo, J.; Kokkonen, P.; Frank, M.; Herty, M. 4 2018 On convergence of numerical methods for optimization problems governed by scalar hyperbolic conservation laws. Zbl 1407.49042Herty, Michael; Kurganov, Alexander; Kurochkin, Dmitry 2 2018 Feedback boundary control of linear hyperbolic equations with stiff source term. Zbl 1390.93634Herty, Michael; Yu, Hui 1 2018 On the relaxation approximation for \(2\times 2\) hyperbolic balance laws. Zbl 1407.65105Gugat, Martin; Herty, Michael; Yu, Hui 1 2018 On approximative linear Boltzmann transport equation for charged particles. Zbl 1470.35300Tervo, J.; Kokkonen, P.; Frank, M.; Herty, M. 1 2018 Mean-field games and model predictive control. Zbl 1383.93029Degond, Pierre; Herty, Michael; Liu, Jian-Guo 15 2017 Performance bounds for the mean-field limit of constrained dynamics. Zbl 1366.35203Herty, Michael; Zanella, Mattia 10 2017 Coupling conditions for the transition from supersonic to subsonic fluid states. Zbl 1379.35241Gugat, Martin; Herty, Michael; Müller, Siegfried 4 2017 Electric transmission lines: control and numerical discretization. Zbl 1348.93028Göttlich, Simone; Herty, Michael; Schillen, Peter 12 2016 Feedback boundary control of linear hyperbolic systems with relaxation. Zbl 1338.93299Herty, Michael; Yong, Wen-An 6 2016 Numerical discretization of coupling conditions by high-order schemes. Zbl 1348.35287Banda, Mapundi K.; Häck, Axel-Stefan; Herty, Michael 6 2016 Certified reduced-order methods for optimal treatment planning. Zbl 1332.92024Ahmedov, Bahodir; Grepl, Martin A.; Herty, Michael 1 2016 A numerical method for the computation of tangent vectors to \(2 \times 2\) hyperbolic systems of conservation laws. Zbl 1338.65170Herty, Michael; Piccoli, Benedetto 1 2016 Kinetic description of optimal control problems and applications to opinion consensus. Zbl 1325.49001Albi, Giacomo; Herty, Michael; Pareschi, Lorenzo 35 2015 Modeling and optimizing traffic light settings in road networks. Zbl 1348.90186Göttlich, Simone; Herty, Michael; Ziegler, Ute 9 2015 Mean-field control and Riccati equations. Zbl 1332.35372Herty, Michael; Pareschi, Lorenzo; Steffensen, Sonja 8 2015 Numerical method for optimal control problems governed by nonlinear hyperbolic systems of PDEs. Zbl 1308.49020Herty, Michael; Kurganov, Alexander; Kurochkin, Dmitry 8 2015 Data-fitted second-order macroscopic production models. Zbl 1319.90023Forestier-Coste, L.; Göttlich, S.; Herty, M. 6 2015 Erratum to: “Flow control in gas networks: exact controllability to a given demand”. Zbl 1464.76183Gugat, M.; Herty, M.; Schleper, V. 3 2015 On linearized coupling conditions for a class of isentropic multiphase drift-flux models at pipe-to-pipe intersections. Zbl 1334.76073Banda, Mapundi K.; Herty, Michael; Ngnotchouye, Jean Medard T. 1 2015 Large time behavior of averaged kinetic models on networks. Zbl 1371.37148Herty, Michael; Ringhofer, Christian 1 2015 Integrating release and dispatch policies in production models. Zbl 1345.35122Armbruster, Dieter; Herty, Michael; Wang, Xinping; Zhao, Lindu 1 2015 Kinetic part-feeding models for assembly lines in automotive industries. Zbl 1343.90030Michailidis, L.; Herty, M.; Ziegler, M. 1 2015 Flows on networks: recent results and perspectives. Zbl 1301.35193Bressan, Alberto; Čanić, Sunčica; Garavello, Mauro; Herty, Michael; Piccoli, Benedetto 73 2014 Comparative model accuracy of a data-fitted generalized Aw-Rascle-Zhang model. Zbl 1304.35700Fan, Shimao; Herty, Michael; Seibold, Benjamin 23 2014 Stabilization of networked hyperbolic systems with boundary feedback. Zbl 1327.93312Dick, Markus; Gugat, Martin; Herty, Michael; Leugering, Günter; Steffensen, Sonja; Wang, Ke 3 2014 An Eulerian-Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs. Zbl 1306.49047Chertock, Alina; Herty, Michael; Kurganov, Alexander 3 2014 Flow on sweeping networks. Zbl 1316.35222Degond, Pierre; Herty, Michael; Liu, Jian-Guo 3 2014 Asymptotic preserving time-discretization of optimal control problems for the Goldstein-Taylor model. Zbl 1311.65079Albi, Giacomo; Herty, Michael; Jörres, Christian; Pareschi, Lorenzo 2 2014 A Lagrangian approach for modeling road collisions using second-order models of traffic flow. Zbl 1311.35155Moutari, Salissou; Herty, Michael 1 2014 Numerical discretization of stabilization problems with boundary controls for systems of hyperbolic conservation laws. Zbl 1262.65068Banda, Mapundi K.; Herty, Michael 11 2013 Numerical discretization of Hamilton-Jacobi equations on networks. Zbl 1274.90077Göttlich, Simone; Ziegler, Ute; Herty, Michael 7 2013 Implicit-explicit Runge-Kutta schemes for numerical discretization of optimal control problems. Zbl 1287.65049Herty, M.; Pareschi, L.; Steffensen, S. 5 2013 A method for model identification and parameter estimation. Zbl 1334.65187Bambach, M.; Heinkenschloss, M.; Herty, M. 4 2013 Existence of solution to supply chain models based on partial differential equation with discontinuous flux function. Zbl 1307.90062Herty, M.; Jörres, Ch.; Piccoli, B. 3 2013 Numerical methods for the optimal control of scalar conservation laws. Zbl 1266.49056Steffensen, Sonja; Herty, Michael; Pareschi, Lorenzo 3 2013 Modelling road traffic accidents using macroscopic second-order models of traffic flow. Zbl 1282.90044Moutari, S.; Herty, M.; Klein, A.; Oeser, M.; Steinauer, B.; Schleper, V. 3 2013 A smoothed penalty iteration for state constrained optimal control problems for partial differential equations. Zbl 1290.90072Gugat, Martin; Herty, Michael 2 2013 A hyperbolic model for the laser cutting process. Zbl 1426.74245Colombo, R. M.; Guerra, G.; Herty, M.; Marcellini, F. 2 2013 On an inexact gradient method using proper orthogonal decomposition for parabolic optimal control problems. Zbl 1272.49058Jörres, Christian; Vossen, Georg; Herty, Michael 1 2013 Assessment of coupling conditions in water way intersections. Zbl 1430.76406Herty, Michael; Seaïd, Mohammed 1 2013 Well-posedness of networked hyperbolic systems of balance laws. Zbl 1356.49004Gugat, Martin; Herty, Michael; Klar, Axel; Leugering, Günther; Schleper, Veronika 11 2012 Adjoint IMEX-based schemes for control problems governed by hyperbolic conservation laws. Zbl 1241.65055Banda, Mapundi K.; Herty, Michael 10 2012 Coupling of non-local driving behaviour with fundamental diagrams. Zbl 1262.90037Herty, Michael; Illner, Reinhard 3 2012 Optimization of a model Fokker-Planck equation. Zbl 1255.85018Herty, Michael; Jörres, Christian; Sandjo, Albert N. 3 2012 Production systems with limited repair capacity. Zbl 1252.90012Göttlich, S.; Herty, M.; Ringhofer, C.; Ziegler, U. 2 2012 Optimal radiotherapy treatment planning using minimum entropy models. Zbl 1308.92046Barnard, Richard; Frank, Martin; Herty, Michael 1 2012 On the relaxation approximation of boundary control of the isothermal Euler equations. Zbl 1253.93110Dick, M.; Gugat, M.; Herty, M.; Steffensen, S. 1 2012 Instantaneous closed loop control of the radiative transfer equations with applications in radiotherapy. Zbl 1236.92030Frank, Martin; Herty, Michael; Hinze, Michael 1 2012 Control of the continuity equation with a non local flow. Zbl 1232.35176Colombo, Rinaldo M.; Herty, Michael; Mercier, Magali 49 2011 Gas pipeline models revisited: model hierarchies, nonisothermal models, and simulations of networks. Zbl 1254.76124Brouwer, Jens; Gasser, Ingenuin; Herty, Michael 43 2011 Existence of classical solutions and feedback stabilization for the flow in gas networks. Zbl 1429.76090Gugat, Martin; Herty, Michaël 34 2011 Flow control in gas networks: exact controllability to a given demand. Zbl 1394.76112Gugat, M.; Herty, M.; Schleper, V. 28 2011 A scalar conservation law with discontinuous flux for supply chains with finite buffers. Zbl 1231.90154Armbruster, Dieter; Göttlich, Simone; Herty, Michael 8 2011 Averaged kinetic models for flows on unstructured networks. Zbl 1242.90035Herty, Michael; Ringhofer, Christian 8 2011 Relaxation approaches to the optimal control of the Euler equations. Zbl 1231.49028Ngnotchouye, Jean Medard T.; Herty, Michael; Steffensen, Sonja; Banda, Mapundi K. 6 2011 Towards a space mapping approach to dynamic compressor optimization of gas networks. Zbl 1223.90035Banda, Mapundi K.; Herty, Michael 4 2011 Feedback controls for continuous priority models in supply chain management. Zbl 1283.93151Herty, Michael; Ringhofer, Christian 4 2011 On optimal treatment planning in radiotherapy governed by transport equations. Zbl 1227.49006Herty, Michael; Sandjo, Albert N. 3 2011 Traffic flow with unobservant drivers. Zbl 1235.90039Herty, M.; Schleper, V. 3 2011 Identification of uncertainties in the shape of geophysical objects with level sets and the adjoint method. Zbl 1237.86006Papadopoulos, Dimitris; Herty, Michael; Rath, Volker; Behr, Marek 3 2011 Time discretizations for numerical optimisation of hyperbolic problems. Zbl 1252.65104Herty, Michael; Schleper, Veronika 2 2011 Control of continuum models of production systems. Zbl 1368.90056La Marca, Michael; Armbruster, Dieter; Herty, Michael; Ringhofer, Christian 28 2010 A new model for gas flow in pipe networks. Zbl 1334.76131Herty, M.; Mohring, J.; Sachers, V. 24 2010 Fokker-Planck asymptotics for traffic flow models. Zbl 1185.90036Herty, Michael; Pareschi, Lorenzo 18 2010 Modeling, simulation, and optimization of supply chains. A continuous approach. Zbl 1205.90003D’Arice, Ciro; Göttlich, Simone; Herty, Michael; Piccoli, Benedetto 17 2010 Toward a mathematical analysis for drift-flux multiphase flow models in networks. Zbl 1213.35031Banda, Mapundi K.; Herty, Michael; Ngnotchouye, Jean-Medard T. 15 2010 The smoothed-penalty algorithm for state constrained optimal control problems for partial differential equations. Zbl 1201.90186Gugat, Martin; Herty, Michael 12 2010 Optimal radiotherapy treatment planning governed by kinetic equations. Zbl 1255.49007Frank, Martin; Herty, Michael; Sandjo, Albert N. 10 2010 Optimization of order policies in supply networks. Zbl 1175.90064Göttlich, S.; Herty, M.; Ringhofer, C. 8 2010 Analytical and numerical investigations of refined macroscopic traffic flow models. Zbl 1200.90044Herty, Michael; Illner, Reinhard 5 2010 Coupling drift-flux models with unequal sonic speeds. Zbl 1269.76091Banda, Mapundi K.; Herty, Michael; Ngnotchouye, Jean-Medard T. 4 2010 The coolest path problem. Zbl 1262.35205Frank, Martin; Fügenschuh, Armin; Herty, Michael; Schewe, Lars 2 2010 Optimal control in networks of pipes and canals. Zbl 1196.35135Colombo, R. M.; Guerra, G.; Herty, M.; Schleper, V. 34 2009 A novel model for intersections of vehicular traffic flow. Zbl 1187.35137Herty, Michael; Lebacque, J.-P.; Moutari, S. 12 2009 A macro-kinetic hybrid model for traffic flow on road networks. Zbl 1194.35257Herty, M.; Moutari, S. 10 2009 Efficient reformulation and solution of a nonlinear PDE-controlled flow network model. Zbl 1197.65068Fügenschuh, A.; Göttlich, S.; Herty, M.; Kirchner, C.; Martin, A. 3 2009 ...and 39 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 886 Authors 76 Herty, Michael Matthias 41 Göttlich, Simone 30 Gugat, Martin 21 Colombo, Rinaldo M. 20 Piccoli, Benedetto 18 Garavello, Mauro 17 Borsche, Raul 16 Leugering, Günter 14 Albi, Giacomo 14 Goatin, Paola 14 Klar, Axel 13 Pareschi, Lorenzo 13 Zanella, Mattia 11 Kolb, Oliver 11 Tosin, Andrea 10 D’Apice, Ciro 10 Marcellini, Francesca 9 Banda, Mapundi Kondwani 9 Pinnau, René 9 Visconti, Giuseppe 8 Corli, Andrea 8 Coron, Jean-Michel 8 Krstić, Miroslav 7 Bastin, Georges 7 Bermúdez, Alfredo 7 Cristiani, Emiliano 7 Hante, Falk M. 7 Keimer, Alexander 7 Kurganov, Alexander 7 Manzo, Rosanna 7 Schleper, Veronika 7 Schmidt, Martin 6 Bellomo, Nicola 6 Bressan, Alberto 6 Frank, Martin 6 Knapp, Stephan 6 Lécureux-Mercier, Magali 6 Totzeck, Claudia 6 Zuazua, Enrique 5 Benner, Peter 5 Briani, Maya 5 Choi, Young-Pil 5 Coclite, Giuseppe Maria 5 Grundel, Sara M. 5 Li, Tatsien 5 Pflug, Lukas 5 Prieur, Christophe 5 Rosini, Massimiliano Daniele 5 Sekhar, T. Raja 5 Steffensen, Sonja 5 Ziegler, Ute 4 Alvarez-Vázquez, Lino Jose 4 Ancona, Fabio 4 Banasiak, Jacek 4 Burger, Martin 4 Chalons, Christophe 4 Costeseque, Guillaume 4 Dong, Ming 4 Friedrich, Jan 4 Fügenschuh, Armin R. 4 Martínez Gamba, Irene 4 García-Chan, Néstor 4 Holle, Yannick 4 Iacomini, Elisa 4 Kall, Jochen 4 Kogut, Peter I. 4 Kuhn, Sebastian 4 Lang, Jens 4 López, Xián 4 Malaguti, Luisa 4 Martin, Alexander 4 Martinez, Aurea 4 Mehrmann, Volker 4 Moutari, Salissou 4 Mucha, Piotr Bogusław 4 Schewe, Lars 4 Schuster, Michael J. 4 Seaïd, Mohammed 4 Tse, Oliver 4 Vázquez-Cendón, María Elena 4 Vázquez-Méndez, Miguel Ernesto 3 Amadori, Debora 3 Armbruster, Dieter 3 Bayen, Alexandre M. 3 Bekiaris-Liberis, Nikolaos 3 Botkin, Nikolai D. 3 Caputo, Jean-Guy 3 Carrillo de la Plata, José Antonio 3 Cesaroni, Annalisa 3 Chebotarev, Alexander Yurievich 3 Chertock, Alina E. 3 Chiarello, Felisia Angela 3 Crippa, Gianluca 3 Delle Monache, Maria Laura 3 Ding, Zhiyan 3 Dolfin, Marina 3 Domschke, Pia 3 Donadello, Carlotta 3 Falkiewicz, Aleksandra 3 Fermo, Luisa ...and 786 more Authors all top 5 Cited in 162 Serials 47 Networks and Heterogeneous Media 26 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 21 SIAM Journal on Applied Mathematics 20 Journal of Computational Physics 18 Applied Mathematics and Computation 16 Automatica 14 Journal of Mathematical Analysis and Applications 14 SIAM Journal on Control and Optimization 13 Computers & Mathematics with Applications 11 Journal of Differential Equations 11 SIAM Journal on Scientific Computing 10 Journal of Scientific Computing 9 SIAM Journal on Mathematical Analysis 9 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 9 Journal of Hyperbolic Differential Equations 9 Mathematical Control and Related Fields 8 Mathematical Methods in the Applied Sciences 8 Systems & Control Letters 8 European Journal of Operational Research 8 Computational Optimization and Applications 8 Optimization and Engineering 8 Nonlinear Analysis. Real World Applications 7 Discrete and Continuous Dynamical Systems 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Discrete and Continuous Dynamical Systems. Series S 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Journal of Computational and Applied Mathematics 6 Numerische Mathematik 6 Applied Numerical Mathematics 6 Applied Mathematical Modelling 5 Computers and Fluids 5 International Journal of Control 5 Journal of Engineering Mathematics 5 Applied Mathematics and Optimization 5 SIAM Journal on Numerical Analysis 5 Mathematical Problems in Engineering 5 Mathematical Methods of Operations Research 5 Discrete and Continuous Dynamical Systems. Series B 5 Kinetic and Related Models 4 Computer Methods in Applied Mechanics and Engineering 4 Journal of Statistical Physics 4 Physica A 4 Mathematics and Computers in Simulation 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Quarterly of Applied Mathematics 4 Optimization 4 Mathematical and Computer Modelling 4 MCSS. Mathematics of Control, Signals, and Systems 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Vietnam Journal of Mathematics 4 Bulletin of the Brazilian Mathematical Society. New Series 4 Communications in Computational Physics 4 Journal of Mathematics in Industry 4 Communications in Applied and Industrial Mathematics 4 Foundations of Data Science 3 Nonlinearity 3 Journal of Optimization Theory and Applications 3 Optimal Control Applications & Methods 3 Journal of Global Optimization 3 European Journal of Control 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Journal of Applied Mathematics 3 Multiscale Modeling & Simulation 2 Archive for Rational Mechanics and Analysis 2 International Journal for Numerical Methods in Fluids 2 Inverse Problems 2 Chaos, Solitons and Fractals 2 International Journal for Numerical Methods in Engineering 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Physica D 2 Applied Mathematics Letters 2 Mathematical Programming. Series A. Series B 2 Journal of Nonlinear Science 2 Journal of Mathematical Sciences (New York) 2 Computational and Applied Mathematics 2 ETNA. Electronic Transactions on Numerical Analysis 2 NoDEA. Nonlinear Differential Equations and Applications 2 Optimization Methods & Software 2 International Journal of Applied Mathematics and Computer Science 2 Journal of Numerical Mathematics 2 SIAM Journal on Applied Dynamical Systems 2 Acta Numerica 2 Mathematical Biosciences and Engineering 2 Oberwolfach Reports 2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 Journal of Theoretical Biology 2 SIAM/ASA Journal on Uncertainty Quantification 2 International Journal of Applied and Computational Mathematics 2 Open Mathematics 2 AMM. Applied Mathematics and Mechanics. (English Edition) 2 Journal of Computational and Theoretical Transport 1 International Journal of Modern Physics B 1 Acta Mechanica 1 Geophysical and Astrophysical Fluid Dynamics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Biology 1 Physics Letters. A 1 Calcolo 1 Computing 1 Manuscripta Mathematica ...and 62 more Serials all top 5 Cited in 39 Fields 380 Partial differential equations (35-XX) 229 Operations research, mathematical programming (90-XX) 175 Numerical analysis (65-XX) 160 Fluid mechanics (76-XX) 132 Systems theory; control (93-XX) 119 Calculus of variations and optimal control; optimization (49-XX) 48 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 45 Statistical mechanics, structure of matter (82-XX) 45 Biology and other natural sciences (92-XX) 18 Probability theory and stochastic processes (60-XX) 16 Mechanics of deformable solids (74-XX) 13 Statistics (62-XX) 11 Dynamical systems and ergodic theory (37-XX) 11 Classical thermodynamics, heat transfer (80-XX) 10 Ordinary differential equations (34-XX) 8 Combinatorics (05-XX) 8 Integral equations (45-XX) 8 Mechanics of particles and systems (70-XX) 7 Computer science (68-XX) 7 Geophysics (86-XX) 6 Operator theory (47-XX) 4 Measure and integration (28-XX) 4 Optics, electromagnetic theory (78-XX) 3 General and overarching topics; collections (00-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Information and communication theory, circuits (94-XX) 2 Topological groups, Lie groups (22-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Differential geometry (53-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year