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Herty, Michael Matthias

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Author ID: herty.michael-matthias Recent zbMATH articles by "Herty, Michael Matthias"
Published as: Herty, Michael; Herty, M.; Herty, Michaël; Herty, Michael Matthias
External Links: MGP
Documents Indexed: 166 Publications since 2003, including 3 Books
all top 5

Co-Authors

4 single-authored
22 Klar, Axel
19 Göttlich, Simone
13 Banda, Mapundi Kondwani
13 Gugat, Martin
12 Pareschi, Lorenzo
10 Moutari, Salissou
9 Frank, Martin
8 Ringhofer, Christian A.
8 Seaïd, Mohammed
7 Schleper, Veronika
7 Steffensen, Sonja
7 Visconti, Giuseppe
5 Armbruster, Dieter
5 Fügenschuh, Armin R.
5 Kirchner, Claus
5 Piccoli, Benedetto
5 Singh, Anita Kumari
4 Colombo, Rinaldo M.
4 Gerster, Stephan
4 Illner, Reinhard
4 Jörres, Christian
4 Kurganov, Alexander
4 Leugering, Günter
4 Ngnotchouye, Jean-Medard T.
4 Rascle, Michel
3 Albi, Giacomo
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 Zhao, Lindu
3 Ziegler, Ute
2 Barnard, Richard C.
2 Bittner, Stefan
2 Dick, Markus
2 Häck, Axel-Stefan
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 Wang, Xinping
2 Yu, Hui
2 Zanella, Mattia
2 Ziegler, Marcus
1 Ahmedov, Bahodir B.
1 Al-Ghosoun, 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 He, Fenglan
1 Heppner, Stephan
1 Herrmann, Alexander M.
1 Hinze, Michael
1 Holle, Yannick
1 Izem, Nouh
1 Kayser, Kirk
1 La Marca, Michael
1 Lebacque, Jean Patrick
1 Mercier, Magali
1 Meuth, Patrick
1 Milde, Anja
1 Motsch, Sébastien
1 Oeser, Markus
1 Olawsky, Ferdinand
1 Özcan, Şeyma Nur
1 Pankratz, Susann
1 Papadopoulos, Dimitris
1 Pawlowski, Matthias
1 Puppo, Gabriella
...and 20 more Co-Authors
all top 5

Serials

19 Networks and Heterogeneous Media
10 Communications in Mathematical Sciences
10 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 Mathematical Analysis and Applications
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 Computational Physics
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 SIAM Journal on Control and Optimization
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 Journal of Theoretical Biology
1 EMS Surveys in Mathematical Sciences

Publications by Year

Citations contained in zbMATH Open

125 Publications have been cited 1,246 times in 584 Documents Cited by Year
Gas flow in pipeline networks. Zbl 1108.76063
Banda, Mapundi K.; Herty, Michael; Klar, Axel
73
2006
Coupling conditions for gas networks governed by the isothermal Euler equations. Zbl 1109.76052
Banda, Mapundi K.; Herty, Michael; Klar, Axel
65
2006
Flows on networks: recent results and perspectives. Zbl 1301.35193
Bressan, Alberto; Čanić, Sunčica; Garavello, Mauro; Herty, Michael; Piccoli, Benedetto
63
2014
Control of the continuity equation with a non local flow. Zbl 1232.35176
Colombo, Rinaldo M.; Herty, Michael; Mercier, Magali
48
2011
Gas pipeline models revisited: model hierarchies, nonisothermal models, and simulations of networks. Zbl 1254.76124
Brouwer, Jens; Gasser, Ingenuin; Herty, Michael
41
2011
Coupling conditions for a class of second-order models for traffic flow. Zbl 1296.35094
Herty, M.; Rascle, M.
32
2007
Modeling, simulation, and optimization of traffic flow networks. Zbl 1046.90014
Herty, M.; Klar, A.
32
2003
Optimal control in networks of pipes and canals. Zbl 1196.35135
Colombo, R. M.; Guerra, G.; Herty, M.; Schleper, V.
32
2009
Existence of classical solutions and feedback stabilization for the flow in gas networks. Zbl 1429.76090
Gugat, Martin; Herty, Michaël
31
2011
Kinetic description of optimal control problems and applications to opinion consensus. Zbl 1325.49001
Albi, Giacomo; Herty, Michael; Pareschi, Lorenzo
30
2015
Network models for supply chains. Zbl 1115.90008
Göttlich, S.; Herty, M.; Klar, A.
29
2005
On \(2\times2\) conservation laws at a junction. Zbl 1171.35430
Colombo, R. M.; Herty, M.; Sachers, V.
28
2008
Optimal control for traffic flow networks. Zbl 1079.49024
Gugat, M.; Herty, M.; Klar, A.; Leugering, G.
28
2005
Flow control in gas networks: exact controllability to a given demand. Zbl 1394.76112
Gugat, M.; Herty, M.; Schleper, V.
27
2011
Control of continuum models of production systems. Zbl 1368.90056
La Marca, Michael; Armbruster, Dieter; Herty, Michael; Ringhofer, Christian
25
2010
A new model for gas flow in pipe networks. Zbl 1334.76131
Herty, M.; Mohring, J.; Sachers, V.
21
2010
Comparative model accuracy of a data-fitted generalized Aw-Rascle-Zhang model. Zbl 1304.35700
Fan, Shimao; Herty, Michael; Seibold, Benjamin
19
2014
Modelling and optimization of supply chains on complex networks. Zbl 1115.90009
Göttlich, S.; Herty, M.; Klar, A.
17
2006
Modeling, simulation, and optimization of supply chains. A continuous approach. Zbl 1205.90003
D’Arice, Ciro; Göttlich, Simone; Herty, Michael; Piccoli, Benedetto
17
2010
Existence of solutions for supply chain models based on partial differential equations. Zbl 1165.90356
Herty, M.; Klar, A.; Piccoli, B.
17
2007
Optimization criteria for modelling intersections of vehicular traffic flow. Zbl 1131.90016
Herty, M.; Moutari, S; Rascle, M.
16
2006
A discrete optimization approach to large scale supply networks based on partial differential equations. Zbl 1161.90002
Fügenschuh, A.; Göttlich, S.; Herty, M.; Klar, A.; Martin, A.
16
2008
Fokker-Planck asymptotics for traffic flow models. Zbl 1185.90036
Herty, Michael; Pareschi, Lorenzo
15
2010
Combinatorial and continuous models for the optimization of traffic flows on networks. Zbl 1131.90015
Fügenschuh, A.; Herty, M.; Klar, A.; Martin, A.
15
2006
Toward a mathematical analysis for drift-flux multiphase flow models in networks. Zbl 1213.35031
Banda, Mapundi K.; Herty, Michael; Ngnotchouye, Jean-Medard T.
15
2010
Modeling, simulation and optimization of gas networks with compressors. Zbl 1132.76045
Herty, Michael
14
2007
Coupling conditions for networked systems of Euler equations. Zbl 1173.35080
Herty, Michael
14
2008
Optimal control for continuous supply network models. Zbl 1131.90009
Kirchner, Claus; Herty, Michael; Göttlich, Simone; Klar, Axel
13
2006
A novel model for intersections of vehicular traffic flow. Zbl 1187.35137
Herty, Michael; Lebacque, J.-P.; Moutari, S.
13
2009
Simulation of transient gas flow at pipe-to-pipe intersections. Zbl 1130.76068
Herty, Michael; Seaïd, Mohammed
13
2008
Mean-field games and model predictive control. Zbl 1383.93029
Degond, Pierre; Herty, Michael; Liu, Jian-Guo
13
2017
The smoothed-penalty algorithm for state constrained optimal control problems for partial differential equations. Zbl 1201.90186
Gugat, Martin; Herty, Michael
11
2010
Well-posedness of networked hyperbolic systems of balance laws. Zbl 1356.49004
Gugat, Martin; Herty, Michael; Klar, Axel; Leugering, Günther; Schleper, Veronika
11
2012
Electric transmission lines: control and numerical discretization. Zbl 1348.93028
Göttlich, Simone; Herty, Michael; Schillen, Peter
11
2016
Adjoint calculus for optimization of gas networks. Zbl 1141.76057
Herty, Michael; Sachers, Veronika
10
2007
Optimal treatment planning in radiotherapy based on Boltzmann transport calculations. Zbl 1143.76058
Frank, Martin; Herty, Michael; Schäfer, Matthias
10
2008
Numerical discretization of stabilization problems with boundary controls for systems of hyperbolic conservation laws. Zbl 1262.65068
Banda, Mapundi K.; Herty, Michael
9
2013
A macro-kinetic hybrid model for traffic flow on road networks. Zbl 1194.35257
Herty, M.; Moutari, S.
9
2009
Optimal radiotherapy treatment planning governed by kinetic equations. Zbl 1255.49007
Frank, Martin; Herty, Michael; Sandjo, Albert N.
9
2010
Adjoint IMEX-based schemes for control problems governed by hyperbolic conservation laws. Zbl 1241.65055
Banda, Mapundi K.; Herty, Michael
9
2012
Performance bounds for the mean-field limit of constrained dynamics. Zbl 1366.35203
Herty, Michael; Zanella, Mattia
9
2017
A spatial domain decomposition method for parabolic optimal control problems. Zbl 1117.65099
Heinkenschloss, Matthias; Herty, Michael
8
2007
Multiscale modeling for gas flow in pipe networks. Zbl 1142.93304
Banda, Mapundi K.; Herty, Michael
8
2008
Optimization of order policies in supply networks. Zbl 1175.90064
Göttlich, S.; Herty, M.; Ringhofer, C.
8
2010
Simplified dynamics and optimization of large scale traffic networks. Zbl 1077.90012
Herty, Michael; Klar, Axel
8
2004
Discrete-velocity models and relaxation schemes for traffic flows. Zbl 1344.65081
Herty, Michael; Pareschi, Lorenzo; Seaid, Mohammed
8
2006
Modeling and optimizing traffic light settings in road networks. Zbl 1348.90186
Göttlich, Simone; Herty, Michael; Ziegler, Ute
8
2015
Numerical discretization of Hamilton-Jacobi equations on networks. Zbl 1274.90077
Göttlich, Simone; Ziegler, Ute; Herty, Michael
7
2013
Numerical method for optimal control problems governed by nonlinear hyperbolic systems of PDEs. Zbl 1308.49020
Herty, Michael; Kurganov, Alexander; Kurochkin, Dmitry
7
2015
A scalar conservation law with discontinuous flux for supply chains with finite buffers. Zbl 1231.90154
Armbruster, Dieter; Göttlich, Simone; Herty, Michael
7
2011
Averaged kinetic models for flows on unstructured networks. Zbl 1242.90035
Herty, Michael; Ringhofer, Christian
7
2011
A new approach for designing moving-water equilibria preserving schemes for the shallow water equations. Zbl 1418.76033
Cheng, Yuanzhen; Chertock, Alina; Herty, Michael; Kurganov, Alexander; Wu, Tong
7
2019
Hybrid stochastic kinetic description of two-dimensional traffic dynamics. Zbl 1403.35196
Herty, Michael; Tosin, Andrea; Visconti, Giuseppe; Zanella, Mattia
7
2018
Instantaneous control for traffic flow. Zbl 1117.90030
Herty, M.; Kirchner, C.; Klar, A.
6
2007
On stop-and-go waves in dense traffic. Zbl 1165.90374
Herty, Michael; Illner, Reinhard
6
2008
Joint replenishment and carbon trading in fresh food supply chains. Zbl 1430.90146
Wang, Min; Zhao, Lindu; Herty, Michael
6
2019
Relaxation approaches to the optimal control of the Euler equations. Zbl 1231.49028
Ngnotchouye, Jean Medard T.; Herty, Michael; Steffensen, Sonja; Banda, Mapundi K.
6
2011
Asymptotic and discrete concepts for optimal control in radiative transfer. Zbl 1123.78006
Herty, M.; Pinnau, R.; Thömmes, G.
6
2007
Smoothed penalty algorithms for optimization of nonlinear models. Zbl 1181.90222
Herty, M.; Klar, A.; Singh, A. K.; Spellucci, P.
6
2007
Optimal control in radiative transfer. Zbl 1128.49021
Herty, Michael; Pinnau, René; Seaïd, Mohammed
6
2007
Enskog-like discrete velocity models for vehicular traffic flow. Zbl 1232.90131
Herty, Michael; Pareschi, Lorenzo; Seaïd, Mohammed
6
2007
Data-fitted second-order macroscopic production models. Zbl 1319.90023
Forestier-Coste, L.; Göttlich, S.; Herty, M.
6
2015
Macroscopic modeling of multilane motorways using a two-dimensional second-order model of traffic flow. Zbl 1395.90078
Herty, Michael; Moutari, Salissou; Visconti, Giuseppe
6
2018
Mean-field control and Riccati equations. Zbl 1332.35372
Herty, Michael; Pareschi, Lorenzo; Steffensen, Sonja
6
2015
Feedback boundary control of linear hyperbolic systems with relaxation. Zbl 1338.93299
Herty, Michael; Yong, Wen-An
6
2016
The BGK approximation of kinetic models for traffic. Zbl 1437.90042
Herty, Michael; Puppo, Gabriella; Roncoroni, Sebastiano; Visconti, Giuseppe
6
2020
Multi-class traffic models on road networks. Zbl 1296.90026
Herty, M.; Kirchner, C.; Moutari, S.
5
2006
Kinetic methods for inverse problems. Zbl 1420.35417
Herty, Michael; Visconti, Giuseppe
5
2019
Numerical discretization of coupling conditions by high-order schemes. Zbl 1348.35287
Banda, Mapundi K.; Häck, Axel-Stefan; Herty, Michael
5
2016
Implicit-explicit Runge-Kutta schemes for numerical discretization of optimal control problems. Zbl 1287.65049
Herty, M.; Pareschi, L.; Steffensen, S.
5
2013
Analytical and numerical investigations of refined macroscopic traffic flow models. Zbl 1200.90044
Herty, Michael; Illner, Reinhard
4
2010
A method for model identification and parameter estimation. Zbl 1334.65187
Bambach, M.; Heinkenschloss, M.; Herty, M.
4
2013
Towards a space mapping approach to dynamic compressor optimization of gas networks. Zbl 1223.90035
Banda, Mapundi K.; Herty, Michael
4
2011
Coupling drift-flux models with unequal sonic speeds. Zbl 1269.76091
Banda, Mapundi K.; Herty, Michael; Ngnotchouye, Jean-Medard T.
4
2010
Coupling conditions for the transition from supersonic to subsonic fluid states. Zbl 1379.35241
Gugat, Martin; Herty, Michael; Müller, Siegfried
4
2017
Well-balanced central-upwind schemes for \(2\times 2\) systems of balance laws. Zbl 1407.65143
Chertock, Alina; Herty, Michael; Özcan, Şeyma Nur
4
2018
A two-dimensional data-driven model for traffic flow on highways. Zbl 1405.90044
Herty, Michael; Fazekas, Adrian; Visconti, Giuseppe
4
2018
From traffic and pedestrian follow-the-leader models with reaction time to first order convection-diffusion flow models. Zbl 1387.35102
Tordeux, Antoine; Costeseque, Guillaume; Herty, Michael; Seyfried, Armin
4
2018
Qualitative properties of solutions to systems of Fokker-Planck equations for multilane traffic flow. Zbl 1107.82041
Herty, M.; Illner, R.; Klar, A.; Panferov, V.
3
2006
A domain decomposition method for conservation laws with discontinuous flux function. Zbl 1128.65078
Herty, Michael; Seaïd, Mohammed; Singh, Anita K.
3
2007
Conservation law constrained optimization based upon Front-Tracking. Zbl 1116.65079
Gugat, Martin; Herty, Michaël; Klar, Axel; Leugering, Gunter
3
2006
Multicommodity flows on road networks. Zbl 1148.35050
Herty, M.; Kirchner, C.; Moutari, S.; Rascle, M.
3
2008
Modelling road traffic accidents using macroscopic second-order models of traffic flow. Zbl 1282.90044
Moutari, S.; Herty, M.; Klein, A.; Oeser, M.; Steinauer, B.; Schleper, V.
3
2013
Coupling of non-local driving behaviour with fundamental diagrams. Zbl 1262.90037
Herty, Michael; Illner, Reinhard
3
2012
Existence of solution to supply chain models based on partial differential equation with discontinuous flux function. Zbl 1307.90062
Herty, M.; Jörres, Ch.; Piccoli, B.
3
2013
Numerical methods for the optimal control of scalar conservation laws. Zbl 1266.49056
Steffensen, Sonja; Herty, Michael; Pareschi, Lorenzo
3
2013
Consistent mean field optimality conditions for interacting agent systems. Zbl 1428.82027
Herty, Michael; Ringhofer, Christian
3
2019
General kinetic models for vehicular traffic flows and Monte-Carlo methods. Zbl 1114.90011
Herty, M.; Klar, A.; Pareschi, L.
3
2005
An Eulerian-Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs. Zbl 1306.49047
Chertock, Alina; Herty, Michael; Kurganov, Alexander
3
2014
Efficient reformulation and solution of a nonlinear PDE-controlled flow network model. Zbl 1197.65068
Fügenschuh, A.; Göttlich, S.; Herty, M.; Kirchner, C.; Martin, A.
3
2009
Feedback controls for continuous priority models in supply chain management. Zbl 1283.93151
Herty, Michael; Ringhofer, Christian
3
2011
Erratum to: “Flow control in gas networks: exact controllability to a given demand”. Zbl 1464.76183
Gugat, M.; Herty, M.; Schleper, V.
3
2015
Stabilization of networked hyperbolic systems with boundary feedback. Zbl 1327.93312
Dick, Markus; Gugat, Martin; Herty, Michael; Leugering, Günter; Steffensen, Sonja; Wang, Ke
3
2014
On existence of solutions for Boltzmann continuous slowing down transport equation. Zbl 1382.35183
Tervo, J.; Kokkonen, P.; Frank, M.; Herty, M.
3
2018
Hyperbolic stochastic Galerkin formulation for the \(p\)-system. Zbl 1452.65017
Gerster, Stephan; Herty, Michael; Sikstel, Aleksey
3
2019
A network model for supply chains with multiple policies. Zbl 1151.90002
Degond, P.; Göttlich, S.; Herty, M.; Klar, A.
2
2007
The coolest path problem. Zbl 1262.35205
Frank, Martin; Fügenschuh, Armin; Herty, Michael; Schewe, Lars
2
2010
A smoothed penalty iteration for state constrained optimal control problems for partial differential equations. Zbl 1290.90072
Gugat, Martin; Herty, Michael
2
2013
On optimal treatment planning in radiotherapy governed by transport equations. Zbl 1227.49006
Herty, Michael; Sandjo, Albert N.
2
2011
Time discretizations for numerical optimisation of hyperbolic problems. Zbl 1252.65104
Herty, Michael; Schleper, Veronika
2
2011
The BGK approximation of kinetic models for traffic. Zbl 1437.90042
Herty, Michael; Puppo, Gabriella; Roncoroni, Sebastiano; Visconti, Giuseppe
6
2020
Kinetic models of conservative economies with need-based transfers as welfare. Zbl 1434.35247
Kayser, Kirk; Armbruster, Dieter; Herty, Michael
2
2020
A new approach for designing moving-water equilibria preserving schemes for the shallow water equations. Zbl 1418.76033
Cheng, Yuanzhen; Chertock, Alina; Herty, Michael; Kurganov, Alexander; Wu, Tong
7
2019
Joint replenishment and carbon trading in fresh food supply chains. Zbl 1430.90146
Wang, Min; Zhao, Lindu; Herty, Michael
6
2019
Kinetic methods for inverse problems. Zbl 1420.35417
Herty, Michael; Visconti, Giuseppe
5
2019
Consistent mean field optimality conditions for interacting agent systems. Zbl 1428.82027
Herty, Michael; Ringhofer, Christian
3
2019
Hyperbolic stochastic Galerkin formulation for the \(p\)-system. Zbl 1452.65017
Gerster, Stephan; Herty, Michael; Sikstel, Aleksey
3
2019
Coupling of compressible Euler equations. Zbl 1434.35078
Herty, Michael; Müller, Siegfried; Sikstel, Aleksey
2
2019
Discretized feedback control for systems of linearized hyperbolic balance laws. Zbl 1429.37056
Gerster, Stephan; Herty, Michael
1
2019
Control strategies for the dynamics of large particle systems. Zbl 1453.93007
Herty, Michael; Pareschi, Lorenzo; Steffensen, Sonja
1
2019
Hybrid stochastic kinetic description of two-dimensional traffic dynamics. Zbl 1403.35196
Herty, Michael; Tosin, Andrea; Visconti, Giuseppe; Zanella, Mattia
7
2018
Macroscopic modeling of multilane motorways using a two-dimensional second-order model of traffic flow. Zbl 1395.90078
Herty, Michael; Moutari, Salissou; Visconti, Giuseppe
6
2018
Well-balanced central-upwind schemes for \(2\times 2\) systems of balance laws. Zbl 1407.65143
Chertock, Alina; Herty, Michael; Özcan, Şeyma Nur
4
2018
A two-dimensional data-driven model for traffic flow on highways. Zbl 1405.90044
Herty, Michael; Fazekas, Adrian; Visconti, Giuseppe
4
2018
From traffic and pedestrian follow-the-leader models with reaction time to first order convection-diffusion flow models. Zbl 1387.35102
Tordeux, Antoine; Costeseque, Guillaume; Herty, Michael; Seyfried, Armin
4
2018
On existence of solutions for Boltzmann continuous slowing down transport equation. Zbl 1382.35183
Tervo, J.; Kokkonen, P.; Frank, M.; Herty, M.
3
2018
On convergence of numerical methods for optimization problems governed by scalar hyperbolic conservation laws. Zbl 1407.49042
Herty, Michael; Kurganov, Alexander; Kurochkin, Dmitry
2
2018
On the relaxation approximation for \(2\times 2\) hyperbolic balance laws. Zbl 1407.65105
Gugat, Martin; Herty, Michael; Yu, Hui
1
2018
Mean-field games and model predictive control. Zbl 1383.93029
Degond, Pierre; Herty, Michael; Liu, Jian-Guo
13
2017
Performance bounds for the mean-field limit of constrained dynamics. Zbl 1366.35203
Herty, Michael; Zanella, Mattia
9
2017
Coupling conditions for the transition from supersonic to subsonic fluid states. Zbl 1379.35241
Gugat, Martin; Herty, Michael; Müller, Siegfried
4
2017
Electric transmission lines: control and numerical discretization. Zbl 1348.93028
Göttlich, Simone; Herty, Michael; Schillen, Peter
11
2016
Feedback boundary control of linear hyperbolic systems with relaxation. Zbl 1338.93299
Herty, Michael; Yong, Wen-An
6
2016
Numerical discretization of coupling conditions by high-order schemes. Zbl 1348.35287
Banda, Mapundi K.; Häck, Axel-Stefan; Herty, Michael
5
2016
Kinetic description of optimal control problems and applications to opinion consensus. Zbl 1325.49001
Albi, Giacomo; Herty, Michael; Pareschi, Lorenzo
30
2015
Modeling and optimizing traffic light settings in road networks. Zbl 1348.90186
Göttlich, Simone; Herty, Michael; Ziegler, Ute
8
2015
Numerical method for optimal control problems governed by nonlinear hyperbolic systems of PDEs. Zbl 1308.49020
Herty, Michael; Kurganov, Alexander; Kurochkin, Dmitry
7
2015
Data-fitted second-order macroscopic production models. Zbl 1319.90023
Forestier-Coste, L.; Göttlich, S.; Herty, M.
6
2015
Mean-field control and Riccati equations. Zbl 1332.35372
Herty, Michael; Pareschi, Lorenzo; Steffensen, Sonja
6
2015
Erratum to: “Flow control in gas networks: exact controllability to a given demand”. Zbl 1464.76183
Gugat, 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 1334.76073
Banda, Mapundi K.; Herty, Michael; Ngnotchouye, Jean Medard T.
1
2015
Kinetic part-feeding models for assembly lines in automotive industries. Zbl 1343.90030
Michailidis, L.; Herty, M.; Ziegler, M.
1
2015
Large time behavior of averaged kinetic models on networks. Zbl 1371.37148
Herty, Michael; Ringhofer, Christian
1
2015
Integrating release and dispatch policies in production models. Zbl 1345.35122
Armbruster, Dieter; Herty, Michael; Wang, Xinping; Zhao, Lindu
1
2015
Flows on networks: recent results and perspectives. Zbl 1301.35193
Bressan, Alberto; Čanić, Sunčica; Garavello, Mauro; Herty, Michael; Piccoli, Benedetto
63
2014
Comparative model accuracy of a data-fitted generalized Aw-Rascle-Zhang model. Zbl 1304.35700
Fan, Shimao; Herty, Michael; Seibold, Benjamin
19
2014
An Eulerian-Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs. Zbl 1306.49047
Chertock, Alina; Herty, Michael; Kurganov, Alexander
3
2014
Stabilization of networked hyperbolic systems with boundary feedback. Zbl 1327.93312
Dick, Markus; Gugat, Martin; Herty, Michael; Leugering, Günter; Steffensen, Sonja; Wang, Ke
3
2014
Flow on sweeping networks. Zbl 1316.35222
Degond, Pierre; Herty, Michael; Liu, Jian-Guo
2
2014
Asymptotic preserving time-discretization of optimal control problems for the Goldstein-Taylor model. Zbl 1311.65079
Albi, Giacomo; Herty, Michael; Jörres, Christian; Pareschi, Lorenzo
2
2014
A Lagrangian approach for modeling road collisions using second-order models of traffic flow. Zbl 1311.35155
Moutari, Salissou; Herty, Michael
1
2014
Numerical discretization of stabilization problems with boundary controls for systems of hyperbolic conservation laws. Zbl 1262.65068
Banda, Mapundi K.; Herty, Michael
9
2013
Numerical discretization of Hamilton-Jacobi equations on networks. Zbl 1274.90077
Göttlich, Simone; Ziegler, Ute; Herty, Michael
7
2013
Implicit-explicit Runge-Kutta schemes for numerical discretization of optimal control problems. Zbl 1287.65049
Herty, M.; Pareschi, L.; Steffensen, S.
5
2013
A method for model identification and parameter estimation. Zbl 1334.65187
Bambach, M.; Heinkenschloss, M.; Herty, M.
4
2013
Modelling road traffic accidents using macroscopic second-order models of traffic flow. Zbl 1282.90044
Moutari, S.; Herty, M.; Klein, A.; Oeser, M.; Steinauer, B.; Schleper, V.
3
2013
Existence of solution to supply chain models based on partial differential equation with discontinuous flux function. Zbl 1307.90062
Herty, M.; Jörres, Ch.; Piccoli, B.
3
2013
Numerical methods for the optimal control of scalar conservation laws. Zbl 1266.49056
Steffensen, Sonja; Herty, Michael; Pareschi, Lorenzo
3
2013
A smoothed penalty iteration for state constrained optimal control problems for partial differential equations. Zbl 1290.90072
Gugat, Martin; Herty, Michael
2
2013
A hyperbolic model for the laser cutting process. Zbl 1426.74245
Colombo, 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 1272.49058
Jörres, Christian; Vossen, Georg; Herty, Michael
1
2013
Well-posedness of networked hyperbolic systems of balance laws. Zbl 1356.49004
Gugat, Martin; Herty, Michael; Klar, Axel; Leugering, Günther; Schleper, Veronika
11
2012
Adjoint IMEX-based schemes for control problems governed by hyperbolic conservation laws. Zbl 1241.65055
Banda, Mapundi K.; Herty, Michael
9
2012
Coupling of non-local driving behaviour with fundamental diagrams. Zbl 1262.90037
Herty, Michael; Illner, Reinhard
3
2012
Production systems with limited repair capacity. Zbl 1252.90012
Göttlich, S.; Herty, M.; Ringhofer, C.; Ziegler, U.
2
2012
On the relaxation approximation of boundary control of the isothermal Euler equations. Zbl 1253.93110
Dick, M.; Gugat, M.; Herty, M.; Steffensen, S.
1
2012
Optimization of a model Fokker-Planck equation. Zbl 1255.85018
Herty, Michael; Jörres, Christian; Sandjo, Albert N.
1
2012
Instantaneous closed loop control of the radiative transfer equations with applications in radiotherapy. Zbl 1236.92030
Frank, Martin; Herty, Michael; Hinze, Michael
1
2012
Optimal radiotherapy treatment planning using minimum entropy models. Zbl 1308.92046
Barnard, Richard; Frank, Martin; Herty, Michael
1
2012
Control of the continuity equation with a non local flow. Zbl 1232.35176
Colombo, Rinaldo M.; Herty, Michael; Mercier, Magali
48
2011
Gas pipeline models revisited: model hierarchies, nonisothermal models, and simulations of networks. Zbl 1254.76124
Brouwer, Jens; Gasser, Ingenuin; Herty, Michael
41
2011
Existence of classical solutions and feedback stabilization for the flow in gas networks. Zbl 1429.76090
Gugat, Martin; Herty, Michaël
31
2011
Flow control in gas networks: exact controllability to a given demand. Zbl 1394.76112
Gugat, M.; Herty, M.; Schleper, V.
27
2011
A scalar conservation law with discontinuous flux for supply chains with finite buffers. Zbl 1231.90154
Armbruster, Dieter; Göttlich, Simone; Herty, Michael
7
2011
Averaged kinetic models for flows on unstructured networks. Zbl 1242.90035
Herty, Michael; Ringhofer, Christian
7
2011
Relaxation approaches to the optimal control of the Euler equations. Zbl 1231.49028
Ngnotchouye, 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 1223.90035
Banda, Mapundi K.; Herty, Michael
4
2011
Feedback controls for continuous priority models in supply chain management. Zbl 1283.93151
Herty, Michael; Ringhofer, Christian
3
2011
On optimal treatment planning in radiotherapy governed by transport equations. Zbl 1227.49006
Herty, Michael; Sandjo, Albert N.
2
2011
Time discretizations for numerical optimisation of hyperbolic problems. Zbl 1252.65104
Herty, Michael; Schleper, Veronika
2
2011
Identification of uncertainties in the shape of geophysical objects with level sets and the adjoint method. Zbl 1237.86006
Papadopoulos, Dimitris; Herty, Michael; Rath, Volker; Behr, Marek
2
2011
Traffic flow with unobservant drivers. Zbl 1235.90039
Herty, M.; Schleper, V.
2
2011
Control of continuum models of production systems. Zbl 1368.90056
La Marca, Michael; Armbruster, Dieter; Herty, Michael; Ringhofer, Christian
25
2010
A new model for gas flow in pipe networks. Zbl 1334.76131
Herty, M.; Mohring, J.; Sachers, V.
21
2010
Modeling, simulation, and optimization of supply chains. A continuous approach. Zbl 1205.90003
D’Arice, Ciro; Göttlich, Simone; Herty, Michael; Piccoli, Benedetto
17
2010
Fokker-Planck asymptotics for traffic flow models. Zbl 1185.90036
Herty, Michael; Pareschi, Lorenzo
15
2010
Toward a mathematical analysis for drift-flux multiphase flow models in networks. Zbl 1213.35031
Banda, 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 1201.90186
Gugat, Martin; Herty, Michael
11
2010
Optimal radiotherapy treatment planning governed by kinetic equations. Zbl 1255.49007
Frank, Martin; Herty, Michael; Sandjo, Albert N.
9
2010
Optimization of order policies in supply networks. Zbl 1175.90064
Göttlich, S.; Herty, M.; Ringhofer, C.
8
2010
Analytical and numerical investigations of refined macroscopic traffic flow models. Zbl 1200.90044
Herty, Michael; Illner, Reinhard
4
2010
Coupling drift-flux models with unequal sonic speeds. Zbl 1269.76091
Banda, Mapundi K.; Herty, Michael; Ngnotchouye, Jean-Medard T.
4
2010
The coolest path problem. Zbl 1262.35205
Frank, Martin; Fügenschuh, Armin; Herty, Michael; Schewe, Lars
2
2010
Optimal control in networks of pipes and canals. Zbl 1196.35135
Colombo, R. M.; Guerra, G.; Herty, M.; Schleper, V.
32
2009
A novel model for intersections of vehicular traffic flow. Zbl 1187.35137
Herty, Michael; Lebacque, J.-P.; Moutari, S.
13
2009
A macro-kinetic hybrid model for traffic flow on road networks. Zbl 1194.35257
Herty, M.; Moutari, S.
9
2009
Efficient reformulation and solution of a nonlinear PDE-controlled flow network model. Zbl 1197.65068
Fügenschuh, A.; Göttlich, S.; Herty, M.; Kirchner, C.; Martin, A.
3
2009
MIP presolve techniques for a PDE-based supply chain model. Zbl 1162.90352
Dittel, Agnes; Fügenschuh, Armin; Göttlich, Simone; Herty, Michael
2
2009
On \(2\times2\) conservation laws at a junction. Zbl 1171.35430
Colombo, R. M.; Herty, M.; Sachers, V.
28
2008
A discrete optimization approach to large scale supply networks based on partial differential equations. Zbl 1161.90002
Fügenschuh, A.; Göttlich, S.; Herty, M.; Klar, A.; Martin, A.
16
2008
Coupling conditions for networked systems of Euler equations. Zbl 1173.35080
Herty, Michael
14
2008
Simulation of transient gas flow at pipe-to-pipe intersections. Zbl 1130.76068
Herty, Michael; Seaïd, Mohammed
13
2008
Optimal treatment planning in radiotherapy based on Boltzmann transport calculations. Zbl 1143.76058
Frank, Martin; Herty, Michael; Schäfer, Matthias
10
2008
Multiscale modeling for gas flow in pipe networks. Zbl 1142.93304
Banda, Mapundi K.; Herty, Michael
8
2008
On stop-and-go waves in dense traffic. Zbl 1165.90374
Herty, Michael; Illner, Reinhard
6
2008
Multicommodity flows on road networks. Zbl 1148.35050
Herty, M.; Kirchner, C.; Moutari, S.; Rascle, M.
3
2008
Coupling conditions for a class of second-order models for traffic flow. Zbl 1296.35094
Herty, M.; Rascle, M.
32
2007
Existence of solutions for supply chain models based on partial differential equations. Zbl 1165.90356
Herty, M.; Klar, A.; Piccoli, B.
17
2007
Modeling, simulation and optimization of gas networks with compressors. Zbl 1132.76045
Herty, Michael
14
2007
Adjoint calculus for optimization of gas networks. Zbl 1141.76057
Herty, Michael; Sachers, Veronika
10
2007
...and 25 more Documents
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Cited by 794 Authors

69 Herty, Michael Matthias
40 Göttlich, Simone
29 Gugat, Martin
20 Colombo, Rinaldo M.
19 Piccoli, Benedetto
16 Borsche, Raul
16 Garavello, Mauro
16 Leugering, Günter
14 Goatin, Paola
13 Klar, Axel
12 Pareschi, Lorenzo
11 Albi, Giacomo
11 Kolb, Oliver
11 Zanella, Mattia
10 D’Apice, Ciro
10 Tosin, Andrea
9 Banda, Mapundi Kondwani
9 Marcellini, Francesca
9 Pinnau, René
8 Coron, Jean-Michel
7 Bastin, Georges
7 Bermúdez, Alfredo
7 Corli, Andrea
7 Cristiani, Emiliano
7 Hante, Falk M.
7 Keimer, Alexander
7 Manzo, Rosanna
7 Schleper, Veronika
6 Bressan, Alberto
6 Knapp, Stephan
6 Krstić, Miroslav
6 Lécureux-Mercier, Magali
6 Schmidt, Martin
6 Totzeck, Claudia
6 Visconti, Giuseppe
5 Bellomo, Nicola
5 Choi, Young-Pil
5 Frank, Martin
5 Kurganov, Alexander
5 Li, Tatsien
5 Pflug, Lukas
5 Prieur, Christophe
5 Rosini, Massimiliano Daniele
5 Ziegler, Ute
5 Zuazua, Enrique
4 Banasiak, Jacek
4 Benner, Peter
4 Briani, Maya
4 Burger, Martin
4 Chalons, Christophe
4 Coclite, Giuseppe Maria
4 Costeseque, Guillaume
4 Dong, Ming
4 Fügenschuh, Armin R.
4 Martínez Gamba, Irene
4 Grundel, Sara M.
4 Kall, Jochen
4 Kogut, Peter I.
4 Kuhn, Sebastian
4 Lang, Jens
4 López, Xián
4 Martin, Alexander
4 Moutari, Salissou
4 Schewe, Lars
4 Sekhar, T. Raja
4 Steffensen, Sonja
4 Tse, Oliver
4 Vázquez-Cendón, María Elena
3 Alvarez-Vázquez, Lino Jose
3 Amadori, Debora
3 Ancona, Fabio
3 Armbruster, Dieter
3 Bayen, Alexandre M.
3 Bekiaris-Liberis, Nikolaos
3 Botkin, Nikolai D.
3 Carrillo de la Plata, José Antonio
3 Cesaroni, Annalisa
3 Chebotarev, Alexander Yurievich
3 Chiarello, Felisia Angela
3 Crippa, Gianluca
3 Delle Monache, Maria Laura
3 Dolfin, Marina
3 Domschke, Pia
3 Donadello, Carlotta
3 Falkiewicz, Aleksandra
3 Fermo, Luisa
3 Fokken, Eike
3 Friedrich, Jan
3 García-Chan, Néstor
3 Gasser, Ingenuin
3 Ha, Seung-Yeal
3 Häck, Axel-Stefan
3 He, Fenglan
3 Hoffmann, Karl-Heinz
3 Kovtanyuk, Andrey Egorovich
3 Malaguti, Luisa
3 Martinez, Aurea
3 Mehrmann, Volker
3 Meurer, Anne
3 Mucha, Piotr Bogusław
...and 694 more Authors
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Cited in 148 Serials

43 Networks and Heterogeneous Media
25 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
20 SIAM Journal on Applied Mathematics
17 Applied Mathematics and Computation
15 Journal of Computational Physics
15 Automatica
13 Journal of Mathematical Analysis and Applications
12 Computers & Mathematics with Applications
11 Journal of Differential Equations
11 SIAM Journal on Control and Optimization
11 SIAM Journal on Scientific Computing
9 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
9 Journal of Hyperbolic Differential Equations
8 Mathematical Methods in the Applied Sciences
8 Systems & Control Letters
8 Journal of Scientific Computing
8 European Journal of Operational Research
8 Computational Optimization and Applications
7 SIAM Journal on Mathematical Analysis
7 Discrete and Continuous Dynamical Systems
7 Discrete and Continuous Dynamical Systems. Series S
7 Mathematical Control and Related Fields
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Numerische Mathematik
6 Applied Mathematical Modelling
6 Nonlinear Analysis. Real World Applications
5 Journal of Engineering Mathematics
5 Journal of Computational and Applied Mathematics
5 Mathematical Problems in Engineering
5 Mathematical Methods of Operations Research
5 Optimization and Engineering
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Computers and Fluids
4 Computer Methods in Applied Mechanics and Engineering
4 International Journal of Control
4 Applied Mathematics and Optimization
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Quarterly of Applied Mathematics
4 SIAM Journal on Numerical Analysis
4 Optimization
4 Mathematical and Computer Modelling
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Vietnam Journal of Mathematics
4 Discrete and Continuous Dynamical Systems. Series B
4 Bulletin of the Brazilian Mathematical Society. New Series
4 Communications in Computational Physics
4 Kinetic and Related Models
3 Journal of Statistical Physics
3 Nonlinearity
3 Mathematics and Computers in Simulation
3 Optimal Control Applications & Methods
3 Applied Numerical Mathematics
3 MCSS. Mathematics of Control, Signals, and Systems
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
3 Journal of Mathematics in Industry
3 Communications in Applied and Industrial Mathematics
2 Archive for Rational Mechanics and Analysis
2 International Journal for Numerical Methods in Fluids
2 Inverse Problems
2 International Journal for Numerical Methods in Engineering
2 Journal of Optimization Theory and Applications
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 Acta Numerica
2 Mathematical Biosciences and Engineering
2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
2 Journal of Theoretical Biology
2 International Journal of Applied and Computational Mathematics
2 Open Mathematics
2 AMM. Applied Mathematics and Mechanics. (English Edition)
1 International Journal of Modern Physics B
1 Acta Mechanica
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Mathematical Biology
1 Physica A
1 Physics Letters. A
1 Chaos, Solitons and Fractals
1 Calcolo
1 Computing
1 Manuscripta Mathematica
1 Semigroup Forum
1 Transactions of the American Mathematical Society
1 Operations Research Letters
1 Chinese Annals of Mathematics. Series B
1 Acta Applicandae Mathematicae
1 Computers & Operations Research
...and 48 more Serials
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Cited in 37 Fields

342 Partial differential equations (35-XX)
213 Operations research, mathematical programming (90-XX)
152 Numerical analysis (65-XX)
139 Fluid mechanics (76-XX)
117 Systems theory; control (93-XX)
108 Calculus of variations and optimal control; optimization (49-XX)
42 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
41 Biology and other natural sciences (92-XX)
35 Statistical mechanics, structure of matter (82-XX)
15 Probability theory and stochastic processes (60-XX)
15 Mechanics of deformable solids (74-XX)
12 Classical thermodynamics, heat transfer (80-XX)
10 Dynamical systems and ergodic theory (37-XX)
9 Ordinary differential equations (34-XX)
8 Mechanics of particles and systems (70-XX)
7 Combinatorics (05-XX)
7 Statistics (62-XX)
6 Integral equations (45-XX)
5 Operator theory (47-XX)
4 Computer science (68-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Measure and integration (28-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Optics, electromagnetic theory (78-XX)
3 Geophysics (86-XX)
2 Topological groups, Lie groups (22-XX)
2 Functional analysis (46-XX)
2 Information and communication theory, circuits (94-XX)
1 General and overarching topics; collections (00-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 Harmonic analysis on Euclidean spaces (42-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Quantum theory (81-XX)

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