Publications
Christian Fiedler, Michael Herty, Sebastian Trimpe, Mean field limits for discrete-time dynamical systems via kernel mean embeddings, IEEE Control Systems Letters (L-CSS), 2023
Giacomo Albi, Michael Herty, Chiara Segala, Robust feedback stabilization of interacting multi-agent systems under uncertainty, Applied Mathemtics and Optimization, 2023
Ch. Fielder, M. Herty, S. Trimpe, On kernel-based statistical learning theory in the mean field limit, Poster@NeurIPS 2023
M. Herty, F. Thein, Stabilization of a Multi-Dimensional System of Hyperbolic Balance Laws, Mathematical Control and Related Fields, 2023
Niklas Kolbe, Michael Herty, Siegfried Müller, A central scheme for two coupled hyperbolic systems, Communications on Applied Mathematics and Computation, 2023
Saskia Räuber, Christopher Nelke, Christina B. Schroeter, Marc Pawlitzki, Jens Ingwersen, Katja Akgün, Rene Günther, Alejandra P. Garza, Michaela Marggraf, Ildiko Rita Dunay, Stefanie Schreiber, Stefan Vielhaber, Tjalf Ziemssen, Nico Melzer, Tobias Ruck, Sven G. Meuth, Michal Herty, Classifying flow cytometry data using Bayesian analysis helps to distinguish ALS patients from healthy controls, Frontiers in Immunology, section Systems Immunology, 2023
Matteo Piu, Michael Herty, Gabriella Puppo, Derivation and stability analysis of a macroscopic multi-lane model for traffic flow, SIAM J. Appl. Mathematics, 2023
Martin Gugat, Michael Herty, Turnpike properties of optimal boundary control problems with random linear hyperbolic systems, ESAIM: Control, Optimisation and Calculus of Variations, 2023
Michael Herty, Ella Steins, Error Propagation for Quantile Estimation via Combining Polynomial Chaos Expansions and Metalog Distributions, Probabilistic Engineering Mechanics, 2023
Michael Herty, Simone Göttlich, Jan Friedrich, Lyapunov Stabilization for Nonlocal Traffic Flow Models, SIAM J. Control and Optimization, 2023
Adrian Kolb, Michael Herty, Siegfried Müller, Higher-dimensional deterministic approach for conservation laws with random initial data, Proceedings to XVIII International Conference on Hyperbolic Problems: Theory, Numerics, Applications, 2023
Christian Fiedler, Michael Herty, Michael Rom, Chiara Segala and Sebastian Trimpe, Reproducing kernel Hilbert spaces in the mean field limit, Kinetic and Related Models, 2023
Adrian Kolb, Michael Herty, Siegfried Müller, Multiresolution-analysis for stochastic hyperbolic conservation laws, IMA Journal on Numerical Analysis, 2023
Markus Bambach; Martin Gugat; Michael Herty; Ferdinand Thein, Stabilization of forming processes using multi–dimensional Hamilton–Jacobi equations, 2022 IEEE 61st Conference on Decision and Control (CDC), 2023
Michael Herty, Niklas Kolbe, Siegfried Müller, Central schemes for networked scalar conservation laws, Networks and Heterogenous Media, 2023
M. Herty, A. Thünen, T. Trimborn, G. Visconti, Continuous limits of residual neural networks in case of large input data, Communications in Applied and Industrial Mathematics, 2023
Shaoshuai Chu; Alina Chertock; Michael Herty; Alexander Kurganov; Maria Lukacova-Medvid'ova, Local Characteristic Decomposition Based Central-Upwind Scheme, Journal of Computational Physics, 2022
G. Borghi, M. Herty, L. Pareschi, Constrained consensus-based optimization, SIAM J. Optimization, 2022
T-B. Tan, M. Herty, S. Müller, E. Steins, Probabilistic Constrained Bayesian Inversion for Transpiration Cooling, International Journal for Numerical Methods in Fluids, 2022
Michael Rom; Matthias Brockmann; Michael Herty; Elisa Iacomini;
Machine Learning Tools in Production Engineering, The International Journal of Advanced Manufacturing Technology, 2022MIchael Herty, Elisa Iacomini, Giuseppe Visconti, Recent Trends on Nonlinear Filtering for Inverse Problems, Commun. Appl. Ind. Math., Vol. 13(1), 2022
Michael Herty, Sonja Steffensen, Anna Thünen, Multiscale Control of Stackelberg Games, Mathematics and Computers in Simulation, 2022
Michael Herty, Gabriella Puppo and Giuseppe Visconti, Model of vehicle interactions with autonomous cars and its properties, Discrete and Continuous Dynamical Systems Series B, 2022
Alper Yegenoglu, Anand Subramoney, Thorsten Hater, Cristian Jimenez-Romero, Wouter Klijn, Aarón Pérez Martín, Michiel van der Vlag, Michael Herty, Abigail Morrison, Sandra Diaz Pier, Exploring parameter and hyper-parameter spaces of neuroscience models on high performance computers with Learning to Learn, Frontiers in Computational Neuroscience, 2022
Michael Herty and Elisa Iacomini, Uncertainty Quantification in hierarchical vehicular flow models, Kinetic and Related Models, Vol. 15(2), 2022
Eike Fokken, Simone Göttlich, Michael Herty Efficient simulation of coupled gas and power networks under uncertain demands, European Journal of Applied Mathematics, 2022
Michael Herty, Torsten Trimborn and Giuseppe Visconti, Mean-Field and Kinetic Descriptions of Neural Differential Equations, Foundations of Data Science, 4(2), 2022
Giacomo Albi, Michael Herty, Dante Kalise, Chiara Segala, Moment-Driven Predictive Control of Mean-Field Collective Dynamics, SIAM Control and Optimization, 2022
Sara Grundel, Michael Herty, Hyperbolic Discretization of the Isothermal Euler Equation via Riemann Invariants, Applied Mathematical Modelling, 2022
MIchael Herty, Anna Thünen, Consistent Control of a Stackelberg Game with Infinitely many Followers, 2021 60th IEEE Conference on Decision and Control, 2022
Martin Gugat, Michael Herty,Modeling, control, and numerics of gas networks, Chapter in the Handbook of Numerical Analysis, 2022
Sara Grundel, Michael Herty, Model-Order Reduction For Hyperbolic Relaxation Systems, International Journal of Nonlinear Sciences and Numerical Simulation, 2022
Markus Bambach, Stephan Gerster, Michael Herty, Muhammad Imran, Feedback Control Under Uncertainties, International Journal for Uncertainty Quantification, 2021
Cory D. Hauck, Michael Herty, Guiseppe Visconti, Qualitative Properties of Mathematical Model For Data Flow, Networks and Heterogenous Media, Vol. 16(4), 2021
Stephan Gerster, Michael Herty, Elisa Iacomini, Stability analysis of a hyperbolic stochastic Galerkin formulation for the Aw-Rascle-Zhang model with relaxation, Mathematical Biosciences and Engineering, Vol. 18(4), 2021
Markus Bambach, Stephan Gerster, Michael Herty, Online data assimilation of a hybrid flow stress model by particle filtering, CIRP Annals Manufacturing Technology, 2021
Simone Göttlich, Michael Herty, Anja Milde (Eds.), Mathematical Modeling, Simulation and Optimization for Power Engineering and Management, Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 34)
Simone Göttlich, Michael Herty, Gediyon Weldegiyorgis, Input-to-state stability of a scalar conservation law with nonlocal velocity, Axioms - Differential Models, Numerical Simulations and Applications, 2021
M. Herty; J. Hüser; U. Naumann; T. Schilden; W. Schröder, Algorithmic differentiation of hyperbolic flow problems, Journal of Comp. Physics, 2021
M.K. Banda, M. Herty, T. Trimborn, Recent Developments in Controlled Crowd Dynamics, Birkhäuser Crowd Dynamics Volume 2, Series: Modeling and Simulation in Science, Engineering and Technology, Editor L. Gibelli, 2020
S. Göttlich, M. Herty, S. Moutari, J. Weissen, Second-Order Traffic Flow Models on Networks, SIAM J. Appl. Math, 2021
Stephan Gerster, Michael Herty and Hui Yu, Hypocoercivity of stochastic Galerkin formulations for stabilization of kinetic equations, Comm. Math. Sci. 2020
ChristianGebhardt,TorstenTrimborn,FelixWeber,AlexanderBezold,ChristophBroeckmann,MichaelHerty,Simplified ResNet approach for data driven prediction of microstructure-fatigue relationship, Mechanics of Materials, Volume 151, December 2020, 103625
Michael Herty, Anna Thuenen, Sonja Steffensen, Solving quadratic multi-leader-follower games by smoothing follower's best response, Optimization, Methods and Software, 2020
Y. Holle, M. Hery, M. Westdickenberg, New Coupling Conditions for Isentropic Flow on Networks, Networks and Heterogenous Media, 2020
A. Yegenoglu, S. Diaz, K. Krajsek, M. Herty, Ensemble Kalman Filter optimizing Deep Neural Networks: An alternative approach to non-performing Gradient Descent, LOD 2020: Machine Learning, Optimization, and Data Science pp 78-92 Springer LNCS Proceedings, 2020
M. Herty, J. Tervo, On Approximation of a Hyper-singular Transport Operator and Existence of Solutions, Methods and Applications of Analysis, 2020
M. Herty, G. Visconti, Continuous Limits for Constrained Ensemble Kalman Filter, Inverse Problems, 2020
M. Herty, L. Pareschi, G. Visconti, Mean field models for large data–clustering problems, Special Issue on “Mathematical Models for Collective Dynamics”, Networks and Heterogenous Media, 2020
C. Gross, M. Pawlitzki, A. Schulte-Mecklenbeck, L. Rolfes, T. Ruck, P. Hundehege, H. Wiendl, M. Herty, S. G. Meuth, Generation of a model to predict differentiation and migration of lymphocyte subsets under homeostatic and CNS autoinflammatory conditions, Molecular Neurobiology, 2020
Stephan Gerster, Michael Herty, Entropies and Symmetrization of Hyperbolic Stochastic Galerkin Formulations, Vol. 27(3), Commun. Comput. Phys., 27 (2020), pp. 639-671.
Martin Gugat, Michael Herty, A New Model for Transient Flow in Gas Transportation Networks, Mathematical Modelling, Optimization, Analytic and Numerical Solutions pp 147-156, Part of the Industrial and Applied Mathematics book series (INAMA), 2020
S. Gerster, M. Herty, M. Chertkov, M. Vuffray, A. Zlotnik, Polynomial Chaos Approach to Describe the Propagation of Uncertainties Through Gas Networks, Progress in Industrial Mathematics, ECMI 2018, pp 59-65, Springer Series Mathematics in Industry, Vol. 30, 2019
Michael Herty, Gabriella Puppo, Sebastiano Roncoroni and Giuseppe Visconti, The BGK approximation of kinetic models for traffic, Kinetic and Related Models, 2020
Dieter Armbruster, Michael Herty, Kirk Kayser, Kinetic Models of Conservative Economies with Need-based Transfers as Welfare, Kinetic and Related Models, 2019
Michael Herty, Lorenzo Pareschi, Sonja Steffensen, Control strategies for the dynamics of large particle systems, in Active particles. Vol. 2. Advances in theory, models, and applications, Model. Simul. Sci. Eng. Technol., Birkhäuser/Springer
S. Gerster, M. Herty, A. Sikstel, Hyperbolic Stochastic Galerkin Formulation for the p-System, Journal of Computational Physics, 2019
Y. Mantri, M. Herty, S. Noelle, Well-balanced scheme for gas-flow in pipeline networks, Networks and Heterogenous Media, 2019
M. Herty, C. Ringhofer, Consistent Mean Field Optimality Conditions For Interacting Agent Systems, Vol. 420(7), Comm. Math. Sci, 2019
N. Izem, M. Herty, M. Seaid, Fast and accurate simulations of shallow water equations in large networks, Computers and Mathematics with Applications, 2019
M. Herty, G. Visconti, Kinetic Methods for Inverse Problems, Kinetic Rel. Models, Vol. 12(5), 2019
Y. Cheng, A. Chertok, M. Herty, A. Kurganov, T. Wu, A New Approach for Designing Moving-Water Equilibria Preserving Schemes for the Shallow Water Equations, Journal of Scientific Computing, Vol. 80(1), 2019
M. Wang, M. Herty, L. Zhao, Joint replenishment and carbon trading in fresh food supply chains, European Journal of Operational Research, Vol. 277(1), 2019
A. Sikstel, M. Herty, S. Müller, Coupling of compressible Euler equations, Vietnam Journal of Mathematics, Vol. 47, 2019
S. Gerster, M. Herty, Discretized Feedback Control for Systems of Linearized Hyperbolic Balance Laws, Math. Control Relat. Fields, Vol. 9(3) 2019
G. Albi, M. Herty, L. Pareschi, Linear multistep methods for optimal control problems and applications to hyperbolic relaxation systems, Applied Mathematics and Computation, Vol. 354, 2019
J. Tervo, P. Kokkonen, M. Frank, M. Herty, On Approximative Linear Boltzmann Transport Equation for Charged Particle Transport, Mathematical Models and Methods in Applied Sciences, Vol. 28 (14) 2018
M. Herty, D. Kalise, Suboptimal nonlinear feedback control laws for collective dynamics, Proceedings of 2018 IEEE 14th International Conference on Control and Automation (ICCA), 2018
M. Herty, S. Moutari, G. Visconti, Macroscopic modeling of multi-lane motorways using a two-dimensional second-order model of traffic flow, SIAM J. Appl. Mathematics, 2018
M. Herty, A. Tosin, G. Visconti, M. Zanella, Hybrid stochastic kinetic description of two-dimensional traffic dynamics, SIAM J. Appl. Mathematics, Vol. 78(5), 2019
M. Herty, G. Visconti, Analysis of risk levels for traffic on a multi-lane highway, IFAC-PapersOnLine Vol. 51, Issue 9, 2018, Pages 43-48
P. Hundehege, A. Herrmann, P. Eichinger, T. Ruck, M. Herty, L. Gola, S. Kovac, T. Budde, S. Meuth, Human T cells in silico: modelling dynamic intracellular calcium and its influence on cellular electrophysiology, Journal of Immunological Methods, 2018
M. Herty, S. Müller, A. Sikstel, Fluid-structure coupling of a linear elastic model with a compressible flow model with multilevel timestepping Proceedings of 6th European Conference on Computational Mechanics, 7th European Conference on Computational Fluid Mechanics, Glasgow, 11-15 June 2018
A. Al-Ghosoun; M. Herty; M. Seaid, A new numerical treatment of moving wet/dry fronts in dam-break flows, Journal of Applied Mathematics and Computing, 2018
G. Albi, M. Herty, L. Pareschi, Relaxation approximation of optimal control problems and applications to traffic flow models, AIP Conference Proceedings, 2018
M. Wang, M. Herty, L. Zhao, Modelling carbon trading and refrigerated logistics services within a fresh food supply chain under carbon cap-and-trade regulation, International Journal of Production Research, 2018
P. Kokkonen, M. Frank, M. Herty, J. Tervo, On existence of solutions for Boltzmann Continuous Slowing Down transport equation, Journal of Mathematical Analysis and Applications, Volume 460, Issue 1, Pages 271–301, 2018
A. Tordeaux, G. Costeseque, M. Herty, A. Seyfried, From traffic and pedestrian follow-the-leader models with reaction time to first order convection-diffusion flow models, SIAM J. Applied Mathematics, 78(1), 63–79, 2018
M. Herty, A. Fazekas, G. Visconti, A two-dimensional data-driven model for traffic flow on highways, Networks and Heterogenous Media, Vol. 13(2), 2018
M. Gugat, M. Herty, S. Mueller, Transonic coupling conditions for the p-system, Networks and Heterogenous Media, Vol. 12(3), 2017
M. Herty, S. Mueller., N. Gerhard, G. Xiang, B. Wang, Fluid-structure coupling of linear elastic model with compressible flow models, INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2017
P. Degond, M. Herty, J-G. Liu, Meanfield Games and Model Predicitive Control, Comm. Math. Sci., Vol. 15(5), 2017
G. Visconti, M. Herty, G. Puppo, A. Tosin, Multivalued fundamental diagrams of traffic flow in the kinetic Fokker-Planck limit, SIAM Multiscale Modeling and Simulation, Vol. 15(3), 2017
M. Herty, M. Zanella, Performance bounds for the mean-field limit of constrained dynamics, Discrete and Continuous Dynamical Systems - Series A, Vol. 37(4), 2017
S. Göttlich, M. Herty, P. Schillen, Electric transmission lines: control and numerical discretization, Optimal Control Appl. Methods 37 (2016), no. 5, 980–995
M. Bambach, A. Haeck, M. Herty, Modeling steel rolling processes by fluid--like differential equations, Applied Mathematics Modeling, 2016
S. Goettlich, M. Herty, M. Luckert, Modeling of Material Flow Problems, Proceedings of the 2014 KoMSO Challenge Workshop "Math for the Digital Factory"', 2016
M. K. Banda, A. Haeck, M. Herty, Numerical discretization of coupling conditions by high-order schemes, Journal of Scientific Computing, 2016
M. Herty, W.-A. Yong, Feedback boundary control of linear hyperbolic systems with relaxation, Automatica, 2016
T. Ruck, S. Bittner, S. G. Meuth , M. Herty, Insights from mathematical modeling for T cell migrationinto the central nervous system, Mathematical Medicine and Biology, 2016
M. Herty, B. Piccoli, Numerical method for the computation of tangent vectors to2\times 2 hyperbolic systems of conservation laws, Communication in Mathematical Sciences, Vol. 14(3), 2016
B. Ahmedov, M. Grepl, M. Herty, Certified Reduced Order Methods for Optimal Treatment Planning, Math. Models and Methods in Applied Sciences, Vol. 26(4), 2016
D. Armbruster, M. Herty, X. Wang, L. Zhao, Integrating release and dispatch policies inproduction models, Networks and Heterogenous Media, Pages: 511 - 526, Volume 10, Issue 3, September 2015,Link: http://www.sciencedirect.com/science/article/pii/S0307904X15002656
F. He, D. Armbruster, M. Herty, M. Dong, Feedback control for priority rules in re-entrant semiconductor manufacturing, Applied Mathematical Modelling, 2015, 39(16), 4655 - 4664 Link: http://www.sciencedirect.com/science/article/pii/S0307904X15002656
U. Bau, A.-L. Braatz, F. Lanzerath, M. Herty, A. Bardow, Control of adsorption chillers by a gradient descent method for optimal cycle time allocation, International Journal of Refrigeration, 2015
L. Forestier-Coste, S. Göttlich, M. Herty, Data-fitted second-order macroscopic production models, Vol. 75(3), SIAM J. Applied Mathematics 2015, 999–1014, Link: http://epubs.siam.org/doi/abs/10.1137/140989832
Y-S. Gloy, W. Renkens, M. Herty, T. Gries, Simulation and Optimisation of Warp Tension in the Weaving Process, Textile Science & Engineering, Vol. 5(1), 2015
M. Herty, L. Pareschi, S. Steffensen, Mean--field control and Riccati equations, Networks and Heterogenous Media, Special Issue on Modeling and Control of Social Dynamics, Pages: 699 - 715, Volume 10, Issue 3, September 2015 Link: http://aimsciences.org/journals/displayArticlesnew.jsp?paperID=11428
X. Wang, M. Herty, L. Zhao, Contingent rerouting for enhancing supply chain resilience from supplier behavior perspective, International Transactions in Operational Research, 2015
S. Göttlich, M. Herty, U. Ziegler - Modeling and optimizing traffic light settings on road networks, Computers and Operations Research, 2015
M. Herty, C. Ringhofer, Large-Time Behavior of Averaged Kinetic Models on Networks, Mathematical Models and Methods in Applied Sciences (M3AS), 25(5), Seiten/Artikel-Nr.:875-904, Link: http://www.worldscientific.com/doi/10.1142/S0218202515500219
M.K. Banda, M. Herty, J. M. Ngnotchouye, On linearized coupling conditions for a class of isentropic multiphase drift-flux models at pipe-to-pipe intersections, Journal of Computational and Applied Mathematics, 2015, pp 81-97, Link: http://www.sciencedirect.com/science/article/pii/S0377042714003781
M. Herty, L. Michailidis, M. Ziegler, Kinetic Part-Feeding Models for Assembly Lines in Automotive Industries, Mathematical Models and Methods in Applied Sciences (M3AS), Vol. 25, No. 02, pp. 283-308, Link http://www.worldscientific.com/doi/abs/10.1142/S0218202515500104
G. Albi, M. Herty, L. Pareschi, Kinetic description of optimal control problems and applications to opinion consensus, Communication in Mathematical Sciences (CMS), 2015, Vol 13, 6, Pages 1407 – 1429 Link: http://www.intlpress.com/site/pub/pages/journals/items/cms/content/vols/0013/0006/a003/
S. Fan, M. Herty, B. Seibold, Comparative model accuracy of a data fitted generalized Aw-Rascle-Zhang model, Networks and Heterogenous Media, Pages: 239 - 268, Volume 9, Issue 2, June 2014, Link: http://aimsciences.org/journals/displayArticlesnew.jsp?paperID=10081
R.M. Colombo, M. Herty, Nodal conditions for hyperbolic systems of balance laws, in Proceedings of the fourteenth international conference on Hyperbolic Problems held in Padova, Eds. F. Ancona, A. Bressan, P. Marcati, A. Marson (Eds.), AIMS on Applied Mathematics, Vol. 8, 2014
P. Degond, M. Herty, J.-G. Liu, Flow on sweeping networks, SIAM Multiscale Modeling and Simulation, Vol. 12(2), 538–565, 2014
A. Chertok, M. Herty, A. Kurganov, An Eulerian-Lagrangian Method for Optimization ProblemsGoverned by Nonlinear Hyperbolic PDEs, Computational Optimization and Applications, Vol. 59(3), 2014, 689pp
G. Albi, M. Herty, Ch. Jörres, L. Pareschi, Asymptotic Preserving time-discretization of optimal control problems for the Goldstein-Taylor model, Numerical Methods for Partial Differential Equations, Volume 30, Issue 6, November 2014, Pages 1770–1780, Link: http://onlinelibrary.wiley.com/doi/10.1002/num.21877/abstract
A. Bressan, S. Canic, M. Garavello, M. Herty, B. Piccoli: Flows on networks: recent results and perspectives, EMS Reviews in Mathematical Sciences, Vol. 1(1), 2014, Link: http://www.ems-ph.org/journals/show_abstract.php?issn=2308-2151&vol=1&iss=1&rank=2
M. Herty, A. Kurganov, D. Kurochkin, Numerical Method for Optimal Control ProblemsGoverned by Nonlinear Hyperbolic Systems of PDEs, Communications in Mathematical Sciences (CMS), Vol. 13(1), 2015, pp. 15-48, Link: http://intlpress.com/site/pub/pages/journals/items/cms/content/vols/0013/0001/a002/index.html
M. Bambach, M. Bücker, S. Heppner, M. Herty, I. Vladimirov, Characteristics of testing conditions for constitutive models in metal plasticity, Journal of Engineering Mathematics (ENGI) 2014
M. Herty, S. Moutari, A Lagrangian approach for modeling road collisions using second-order models of traffic flow, Communications in Mathematical Sciences, Vol. 12 (7) 2014
M. K. Banda, M. Herty, Adjoint IMEX-based schemes for the numerical solution of optimal control problems governed by conservation laws. Hyperbolic problems—theory, numerics and applications. Volume 1, 297–303, Ser. Contemp. Appl. Math. CAM, 17, World Sci. Publishing, Singapore, 2012, Link: http://link.springer.com/article/10.1007%2Fs10589-010-9362-2
D. Armbruster, M. Herty, C. Ringhofer, A continuum description for a DES control problem, Proceedings of the 51th IEEE Conference on Decision and Control, CDC 2012, December 10-13, 2012, Maui, HI, USA, 2012, Page(s): 7372 - 7376 Link: http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6425934
S. Göttlich, M. Herty, U. Ziegler, Numerical Discretization of HamiltonJacobi Equations on Networks, Networks and Hetergenous Media, Networks and Hetergenous Media, Pages: 685 - 705, Volume 8, Issue 3, September 2013, Link: http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=9031
R. Barnard, M. Frank, M. Herty, State-constrained optimization of PDEsvia Infinite Penalization Methods, PAMM Proceedings, Special Issue: 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Darmstadt 2012; Editors: H.-D. Alber, N. Kraynyukova and C. Tropea, Volume 12, Issue 1, pages 691–692, 2012
M. Herty, L. Pareschi, S. Steffensen, Implicit-Explicit Runge-Kutta schemes fornumerical discretization of optimal control problems, SIAM J. on Numerical Analysis, Vol. 51(4), 2013
Meuth, Patrick; Gaburro, Stefano; Lesting, Jörg; Legler, Anne; Herty, Michael; Budde, Thomas; Meuth, Sven; Seidenbecher, Thomas; Lutz, Beat; Pape, Hans, Standardizing the analysis of conditioned fear in rodents: a multidimensional software approach, Genes, Brain and Behavior. 2013
R. M. Colombo, G. Guerra, M. Herty, F. Marcellini, A Hyperbolic Model for the Laser Cutting Process, Applied Mathematical Modelling, 2013
M.K. Banda, M. Herty, Numerical discretization of tabilization problems with boundary controls for systems of hyperbolic conservation laws, Mathematical Control and Related Fields, Vol. 3(2) , 2013, Link: http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=8349
M. Bambach, M. Heinkenschloss, M. Herty, A method for model identification and parameter estimation, Inverse Problems, 29 (2013) 025009.
Ch. Jörres, M. Herty, G. Vossen, On an ineaxct gradient method using proper orthogonal decomposition for parabolic optimal control problems, Computational Optimization and Applications, Vol. 55(2), 2013
Ch. Jörres, M. Herty, B. Piccoli, Existence of solution to supply chain models based on partial differential equation with discontinuous flux function, Journal of Mathematical Analysis and Applications, 2013
S. Steffensen, M. Herty, L. Pareschi - Numerical methods for the optimal control of scalar conservation laws, Lecture Notes in Computer Science, Eds. D. Hoemberg, F. Troeltzsch, CSMO 2011, IFIP AICT 391, pp 136-144, (2013) Link: http://link.springer.com/chapter/10.1007%2F978-3-642-36062-6_14
M. Herty, R. Illner - Coupling of Non-Local Driving Behaviour with Fundamental Diagrams, Kinetic and Related Models, Vol. 5(4), 2012, Link: https://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=7915
M.K. Banda, M. Herty, J-M. T. Ngnotchouye: Coupling Drift-Flux Models with unequal sonic speeds Mathematical and Computational Applications, 2010, Vol. 15(4), pp.574--584
M. Frank, M. Herty, M. Hinze: Time-dependent Closed Loop Control of the Radiative Transfer Equations with Applications in Radiotherapy, Z. Angew. Math. Mech. 92 (2012) 8-24, Link : http://onlinelibrary.wiley.com/doi/10.1002/zamm.201000191/abstract
R. Barnard, M. Frank, M. Herty - Optimal radiotherapy treatmentplanning using minimum entropy models, Volume 219, Issue 5, 15, Pages 2668–2679, Applied Mathematics and Computation, 2012, Link: http://www.worldscientific.com/doi/abs/10.1142/S0218202510004386
M. Herty, C. Jörres, A. Sandjo, Optimization of a model Fokker-Planck equation, Kinetic and Related Models, Vol. 5(3), 2012
S. Göttlich, M. Herty, C. Ringhofer, U. Ziegler, Production systems with limited repair capacity, Optimization, Vol. 61(8), 2012, pages 915-948, Link: http://www.tandfonline.com/doi/full/10.1080/02331934.2011.615395
Wang, X. Zhao, L., Herty, M., Measuring perceived supply chain vulnerability, ICIC Express Letters, Part B: Applications, Vol. 3(5), 2012, Link. http://www.ijicic.org/elb-3%286%29.htm
Dick, M., Gugat, M., Herty, M., Steffensen, S. On the relaxation approximation of boundary control of the isothermal Euler equations,
International Journal of Control, 2012, Link: http://www.tandfonline.com/doi/abs/10.1080/00207179.2012.703787
Herty, M.; Seaid, M. Assesement of coupling conditions for the shallow-water equation, International Journal on Numerical Methods in Engineering, Vol. 71(11), pp 1438–1460, 2013
Moutari, S., Herty, M., Klein, A.; Oeser, M.; Schleper, V.; Steinauer, B. Modeling road traffic accidents using second-order flow models. IMA Journal of Applied Mathematics, 2012, Link. http://imamat.oxfordjournals.org/content/early/2012/07/17/imamat.hxs012
Göttlich, S.; Herty, M.; Ringhofer, Ch. Time-dependent order and distribution policies in supply networks. Progress in industrial mathematics at ECMI 2008, 521–526, Math. Ind., 15, Springer, Heidelberg, 2010, Link. http://link.springer.com/chapter/10.1007%2F978-3-642-12110-4_82
M. Herty, V. Schleper - Time discretizations for the numerical optimisation of hyperbolic problems, Appl. Math. Comput, 218, 2011, pp 183-194, Link: http://www.sciencedirect.com/science/article/pii/S0096300311007995
S. Göttlich, M. Herty, C. Ringhofer - Optimal order and distribution strategies in production networks Springer Handbook on 'Decision Policies for Production Systems', ISBN 978-0-85729-643-6, 2012
M. Herty, Ch. Ringhofer - Averaged kinetic models for flows on unstructured networks Kinetic and Related Models, 201, Link. https://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=6734
G. Guerra, M. Herty, F. Marcellini - Modeling and analysis of pooled stepped chutes Networks and Heterogenous Media, 2011
D. Papadopoulos, M. Herty, V. Rath, M. Behr - Determining the shape of geological objects with level sets and the adjoint method Computational Geosciences, 15 (2011) 737–75, Link. http://link.springer.com/article/10.1007%2Fs10596-011-9242-6
V. Schleper, M. Gugat, M. Herty, A. Klar, G. Leugering - Well-posedness of networked hyperbolic systems of balance laws in Constrained Optimization and Optimal Control for Partial Differential Equations, Birkhaeuser, International Series of Numerical Mathematics, Vol. 160, pp 175--198, 201,Link. http://link.springer.com/chapter/10.1007%2F978-3-0348-0133-1_7
M. Gugat, M. Herty- A smoothed--penalty iteration for state constrained optimal control problems for partial differential equations, Optimization, 2011
M. Herty, V. Schleper - Traffic flow with unobservant drivers, Journal of Applied Mathematics and Mechanics (ZAMM), 2011
D. Armbruster, S. Goettlich, M. Herty - A continuous model for supply chains with finite buffers, SIAM J. on Applied Mathematics, 2011 Link: http://epubs.siam.org/doi/abs/10.1137/040604625
M. Herty, Ch. Ringhofer - Feedback controls for continuous priority models in supply chain management CMAM, vol. 11, 2011, Link. http://www.degruyter.com/view/j/cmam.2011.11.issue-2/cmam-2011-0011/cmam-2011-0011.xml
M. Herty, L. Pareschi -Fokker-Planck Asymptotics for Traffic Flow Models KRM, Vol. 3(1), 2010
D'Apice, Ciro; Göttlich, Simone; Herty, Michael; Piccoli, Benedetto- Modeling, simulation, and optimization of supply chains.A continuous approach. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2010. x+206 pp. ISBN: 978-0-898717-00-6
M. K. Banda, M. Herty - Adjoint IMEX--based schemes for Control Problems Governed By Hyperbolic Conservation Laws, Computational Optimization and Applications (COAP), 2010
A. Fügenschuh, M. Frank, M. Herty, L. Schewe - The coolest path problem NHM, Vol. 5, 2010
M. La Marca, D. Armbruster, M. Herty, Ch. Ringhofer - Control of continuum models production systems, IEEE Transactions on Automatic Control, 2009
S. Göttlich, M. Herty, Ch. Ringhofer - Optimization of orderpolicies in supply networks European Journal on Supply Chains, 2009
Herty, M.; Moutari, S.; Rascle, M. Intersections modeling with a class of "second-order'' models for vehicular traffic flow. Hyperbolic problems: theory, numerics, applications, 755–763, Springer, Berlin, 2008, Link. http://www.springer.com/us/book/9783540757115
R. Illner, M. Herty - On Stop-and-go waves in dense traffic - KRM, 2008
M. Herty, J. Mohring, V. Sachers -A new model for gas flow in pipe networks M2AS, 2009
M. Herty, A. Klar, L. Pareschi - General kinetic models for vehicular traffic flow and Monte Carlo methods - Computational Methods in Applied Mathematics (CMAM), Vol. 5(2), pp. 155--169, 2005,Link. http://www.degruyter.com/view/j/cmam.2005.5.issue-2/cmam-2005-0008/cmam-2005-0008.xml
M. Herty, C. Ringhofer - Optimization for supply chain with policies Physica A, Vol. 380, pp. 651---664, 2007, Link. http://www.sciencedirect.com/science/article/pii/S0378437107001914
M. Herty, G. Thömmes - A two-level trust region method for optimal control problems in radiative transfer Advance Modeling and Optimization (AMO), Vol. 8(2), 2006