Publications

Journal articles

  1. Michael Herty, Stefan Ulbrich, Chapter 13 - Numerics and control of conservation laws, Handbook of Numerical Analysis Volume 24, 2023, Pages 473-509, 2023
  2. Hicham Kouhkouh, Michael Herty, Relaxation and asymptotic expansion of controlled stiff differential equations, International Journal of Control, 2024
  3. Michael Herty, Niklas Kolbe, Data-Driven Models for Traffic Flow at Junctions, Mathematical Methods in the Applied Sciences, 2024
  4. Alina Chertock; Michael Herty; Arsen S. Iskhakov; Safa Janajra; Alexander Kurganov; Maria Lukacova-Medvid'ova, New High-Order Numerical Methods for Hyperbolic Systems of Nonlinear PDEs with Uncertainties, Communications on Applied Mathematics and Computation, 2024
  5. Martin Gugat, Michael Herty, Chiara Segala, The turnpike property for mean-field optimal control problems, European Journal of Applied Mathematics, 2024, DOI: 10.1017/S0956792524000044
  6. 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, DOI: 10.1109/LCSYS.2023.3341280
  7. Giacomo Albi, Michael Herty, Chiara Segala, Robust feedback stabilization of interacting multi-agent systems under uncertainty, Applied Mathemtics and Optimization, 2023, DOI: 10.1007/s00245-023-10078-2
  8. Ch. Fielder, M. Herty, S. Trimpe, On kernel-based statistical learning theory in the mean field limit, Poster@NeurIPS 2023
  9. M. Herty, F. Thein, Stabilization of a Multi-Dimensional System of Hyperbolic Balance Laws, Mathematical Control and Related Fields, 2023, DOI: 10.3934/mcrf.2023033
  10. Niklas Kolbe, Michael Herty, Siegfried Müller, A central scheme for two coupled hyperbolic systems, Communications on Applied Mathematics and Computation, 2023, DOI: 10.1007/s42967-023-00306-5
  11. 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, DOI: 10.3389/fimmu.2023.1198860
  12. Matteo Piu, Michael Herty, Gabriella Puppo, Derivation and stability analysis of a macroscopic multi-lane model for traffic flow, SIAM J. Appl. Mathematics, 2023, DOI: 10.1137/22M1543288
  13. Martin Gugat, Michael Herty, Turnpike properties of optimal boundary control problems with random linear hyperbolic systems, ESAIM: Control, Optimisation and Calculus of Variations, 2023, DOI: 10.1051/cocv/2023051
  14. Michael Herty, Ella Steins, Error Propagation for Quantile Estimation via Combining Polynomial Chaos Expansions and Metalog Distributions, Probabilistic Engineering Mechanics, 2023, DOI: 10.1016/j.probengmech.2023.103478
  15. Michael Herty, Simone Göttlich, Jan Friedrich, Lyapunov Stabilization for Nonlocal Traffic Flow Models, SIAM J. Control and Optimization, 2023, DOI: 10.1137/22M152181X
  16. 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
  17. 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, DOI: 10.3934/krm.2023010
  18. Adrian Kolb, Michael Herty, Siegfried Müller, Multiresolution-analysis for stochastic hyperbolic conservation laws, IMA Journal on Numerical Analysis, 2023, DOI: 10.1093/imanum/drad010
  19. 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, DOI:10.1109/CDC51059.2022.9992941
  20. Michael Herty, Niklas Kolbe, Siegfried Müller, Central schemes for networked scalar conservation laws, Networks and Heterogenous Media, 2023, DOI: 10.3934/nhm.2023012
  21. 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, DOI: 10.2478/caim-2022-0008
  22. Shaoshuai Chu; Alina Chertock; Michael Herty; Alexander Kurganov; Maria Lukacova-Medvid'ova, Local Characteristic Decomposition Based Central-Upwind Scheme, Journal of Computational Physics, 2022, DOI: 10.1016/j.jcp.2022.111718
  23. G. Borghi, M. Herty, L. Pareschi, Constrained consensus-based optimization, SIAM J. Optimization, 2022, DOI: 10.1137/22M1471304
  24. T-B. Tan, M. Herty, S. Müller, E. Steins, Probabilistic Constrained Bayesian Inversion for Transpiration Cooling, International Journal for Numerical Methods in Fluids, 2022, DOI: 10.18154/RWTH-2022-08723
  25. Michael Rom; Matthias Brockmann; Michael Herty; Elisa Iacomini; Machine Learning Tools in Production Engineering, The International Journal of Advanced Manufacturing Technology, 2022, DOI: 10.1007/s00170-022-09591-5
  26. MIchael Herty, Elisa Iacomini, Giuseppe Visconti, Recent Trends on Nonlinear Filtering for Inverse Problems, Commun. Appl. Ind. Math., Vol. 13(1), 2022, DOI: 10.18154/RWTH-2022-06099
  27. Michael Herty, Sonja Steffensen, Anna Thünen, Multiscale Control of Stackelberg Games, Mathematics and Computers in Simulation, 2022, DOI: 10.1016/j.matcom.2022.04.028
  28. 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, DOI: 10.3934/dcdsb.2022100
  29. 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, DOI: 10.3389/fncom.2022.885207
  30. Michael Herty and Elisa Iacomini, Uncertainty Quantification in hierarchical vehicular flow models, Kinetic and Related Models, Vol. 15(2), 2022, DOI: 10.3934/krm.2022006
  31. Eike Fokken, Simone Göttlich, Michael Herty Efficient simulation of coupled gas and power networks under uncertain demands, European Journal of Applied Mathematics, 2022, DOI: 10.1017/S0956792522000079
  32. Michael Herty, Torsten Trimborn and Giuseppe Visconti, Mean-Field and Kinetic Descriptions of Neural Differential Equations, Foundations of Data Science, 4(2), 2022, DOI: 10.3934/fods.2022007
  33. Giacomo Albi, Michael Herty, Dante Kalise, Chiara Segala, Moment-Driven Predictive Control of Mean-Field Collective Dynamics, SIAM Control and Optimization, 2022, DOI: 10.1137/21M1391559
  34. Sara Grundel, Michael Herty, Hyperbolic Discretization of the Isothermal Euler Equation via Riemann Invariants, Applied Mathematical Modelling, 2022, DOI: 10.1016/j.apm.2022.01.006
  35. Michael Herty, Anna Thünen, Consistent Control of a Stackelberg Game with Infinitely many Followers, 2021 60th IEEE Conference on Decision and Control, 2022, DOI: 10.1109/CDC45484.2021.9682798
  36. Martin Gugat, Michael Herty,Modeling, control, and numerics of gas networks, Chapter in the Handbook of Numerical Analysis, 2022, DOI: 10.1016/bs.hna.2021.12.002
  37. Sara Grundel, Michael Herty, Model-Order Reduction For Hyperbolic Relaxation Systems, International Journal of Nonlinear Sciences and Numerical Simulation, 2022, DOI: 10.1515/ijnsns-2021-0192
  38. Markus Bambach, Stephan Gerster, Michael Herty, Muhammad Imran, Feedback Control Under Uncertainties, International Journal for Uncertainty Quantification, 2021
  39. Cory D. Hauck, Michael Herty, Guiseppe Visconti, Qualitative Properties of Mathematical Model For Data Flow, Networks and Heterogenous Media, Vol. 16(4), 2021, DOI: 10.3934/nhm.2021015
  40. 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, DOI: 10.3934/mbe.2021220
  41. Markus Bambach, Stephan Gerster, Michael Herty, Online data assimilation of a hybrid flow stress model by particle filtering, CIRP Annals Manufacturing Technology, 2021, DOI: 10.1016/j.cirp.2021.04.002
  42. 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), DOI: 10.1007/978-3-030-62732-4
  43. 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, DOI: 10.3390/axioms10010012
  44. M. Herty; J. Hüser; U. Naumann; T. Schilden; W. Schröder, Algorithmic differentiation of hyperbolic flow problems, Journal of Comp. Physics, 2021, DOI: 10.1016/j.jcp.2021.110110
  45. 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, DOI: 10.1007/978-3-030-50450-2_7
  46. S. Göttlich, M. Herty, S. Moutari, J. Weissen, Second-Order Traffic Flow Models on Networks, SIAM J. Appl. Math, 2021, DOI: 10.1137/20M1339908
  47. Stephan Gerster, Michael Herty and Hui Yu, Hypocoercivity of stochastic Galerkin formulations for stabilization of kinetic equations, Comm. Math. Sci. 2020, DOI: 10.4310/CMS.2021.v19.n3.a10
  48. 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
  49. Michael Herty, Anna Thuenen, Sonja Steffensen, Solving quadratic multi-leader-follower games by smoothing follower's best response, Optimization, Methods and Software, 2020
  50. Y. Holle, M. Hery, M. Westdickenberg, New Coupling Conditions for Isentropic Flow on Networks, Networks and Heterogenous Media, 2020
  51. 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
  52. M. Herty, J. Tervo, On Approximation of a Hyper-singular Transport Operator and Existence of Solutions, Methods and Applications of Analysis, 2020
  53. M. Herty, G. Visconti, Continuous Limits for Constrained Ensemble Kalman Filter, Inverse Problems, 2020
  54. 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
  55. 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
  56. Stephan Gerster, Michael Herty, Entropies and Symmetrization of Hyperbolic Stochastic Galerkin Formulations, Vol. 27(3), Commun. Comput. Phys., 27 (2020), pp. 639-671.
  57. 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
  58. 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
  59. Michael Herty, Gabriella Puppo, Sebastiano Roncoroni and Giuseppe Visconti, The BGK approximation of kinetic models for traffic, Kinetic and Related Models, 2020
  60. Dieter Armbruster, Michael Herty, Kirk Kayser, Kinetic Models of Conservative Economies with Need-based Transfers as Welfare, Kinetic and Related Models, 2019
  61. 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
  62. S. Gerster, M. Herty, A. Sikstel, Hyperbolic Stochastic Galerkin Formulation for the p-System, Journal of Computational Physics, 2019
  63. Y. Mantri, M. Herty, S. Noelle, Well-balanced scheme for gas-flow in pipeline networks, Networks and Heterogenous Media, 2019
  64. M. Herty, C. Ringhofer, Consistent Mean Field Optimality Conditions For Interacting Agent Systems, Vol. 420(7), Comm. Math. Sci, 2019
  65. N. Izem, M. Herty, M. Seaid, Fast and accurate simulations of shallow water equations in large networks, Computers and Mathematics with Applications, 2019
  66. M. Herty, G. Visconti, Kinetic Methods for Inverse Problems, Kinetic Rel. Models, Vol. 12(5), 2019
  67. 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
  68. 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
  69. A. Sikstel, M. Herty, S. Müller, Coupling of compressible Euler equations, Vietnam Journal of Mathematics, Vol. 47, 2019
  70. S. Gerster, M. Herty, Discretized Feedback Control for Systems of Linearized Hyperbolic Balance Laws, Math. Control Relat. Fields, Vol. 9(3) 2019
  71. 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
  72. 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
  73. 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
  74. 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
  75. 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
  76. 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
  77. 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
  78. 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
  79. 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
  80. G. Albi, M. Herty, L. Pareschi, Relaxation approximation of optimal control problems and applications to traffic flow models, AIP Conference Proceedings, 2018
  81. 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
  82. 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
  83. 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
  84. 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
  85. M. Gugat, M. Herty, S. Mueller, Transonic coupling conditions for the p-system, Networks and Heterogenous Media, Vol. 12(3), 2017
  86. 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
  87. P. Degond, M. Herty, J-G. Liu, Meanfield Games and Model Predicitive Control, Comm. Math. Sci., Vol. 15(5), 2017
  88. 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
  89. 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
  90. S. Göttlich, M. Herty, P. Schillen, Electric transmission lines: control and numerical discretization, Optimal Control Appl. Methods 37 (2016), no. 5, 980–995
  91. M. Bambach, A. Haeck, M. Herty, Modeling steel rolling processes by fluid--like differential equations, Applied Mathematics Modeling, 2016
  92. S. Goettlich, M. Herty, M. Luckert, Modeling of Material Flow Problems, Proceedings of the 2014 KoMSO Challenge Workshop "Math for the Digital Factory"', 2016
  93. M. K. Banda, A. Haeck, M. Herty, Numerical discretization of coupling conditions by high-order schemes, Journal of Scientific Computing, 2016
  94. M. Herty, W.-A. Yong, Feedback boundary control of linear hyperbolic systems with relaxation, Automatica, 2016
  95. 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
  96. 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
  97. 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
  98. 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
  99. 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
  100. 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
  101. 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
  102. 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
  103. 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
  104. X. Wang, M. Herty, L. Zhao, Contingent rerouting for enhancing supply chain resilience from supplier behavior perspective, International Transactions in Operational Research, 2015
  105. S. Göttlich, M. Herty, U. Ziegler - Modeling and optimizing traffic light settings on road networks, Computers and Operations Research, 2015
  106. 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
  107. 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
  108. 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
  109. 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/
  110. 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
  111. 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
  112. P. Degond, M. Herty, J.-G. Liu, Flow on sweeping networks, SIAM Multiscale Modeling and Simulation, Vol. 12(2), 538–565, 2014
  113. 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
  114. 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
  115. 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
  116. 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
  117. 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
  118. 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
  119. 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
  120. 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
  121. S. Göttlich, M. Herty, U. Ziegler, Numerical Discretization of Hamilton–Jacobi 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
  122. 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
  123. 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
  124. 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
  125. R. M. Colombo, G. Guerra, M. Herty, F. Marcellini, A Hyperbolic Model for the Laser Cutting Process, Applied Mathematical Modelling, 2013
  126. 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
  127. M. Bambach, M. Heinkenschloss, M. Herty, A method for model identification and parameter estimation, Inverse Problems, 29 (2013) 025009.
  128. 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
  129. 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
  130. 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
  131. 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
  132. 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
  133. 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
  134. 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
  135. M. Herty, C. Jörres, A. Sandjo, Optimization of a model Fokker-Planck equation, Kinetic and Related Models, Vol. 5(3), 2012
  136. 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
  137. 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
  138. 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
  139. 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
  140. 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
  141. 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
  142. 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
  143. 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
  144. 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
  145. G. Guerra, M. Herty, F. Marcellini - Modeling and analysis of pooled stepped chutes Networks and Heterogenous Media, 2011
  146. 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
  147. 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
  148. J. Brouwer, M. Herty, I. Gasser - Gas pipeline models revisited: model hierarchies, non--isothermal models and simulations of networks, SIAM Multiscale Modeling and Simulation, 2011
  149. M. Gugat, M. Herty- A smoothed--penalty iteration for state constrained optimal control problems for partial differential equations, Optimization, 2011
  150. M. Herty, V. Schleper - Traffic flow with unobservant drivers, Journal of Applied Mathematics and Mechanics (ZAMM), 2011
  151. 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
  152. 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
  153. M. Herty, A. Sandjo -Optimization of the Boltzmann-continuous slowing downapproximation for Treatment Planning in Radiotherapy, M3AS, Vol. 2(21), 2011
  154. M. Frank, M. Herty, A. Sandjo - Optimal treatment planning governed by kinetic equations - M3AS, 2010
  155. M. Herty, L. Pareschi -Fokker-Planck Asymptotics for Traffic Flow Models KRM, Vol. 3(1), 2010
  156. 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
  157. M. K. Banda, M. Herty - Adjoint IMEX--based schemes for Control Problems Governed By Hyperbolic Conservation Laws, Computational Optimization and Applications (COAP), 2010
  158. M.K. Banda, M. Herty, J.M.T. Ngnotchouye -Towards a mathematical analysis for drift-flux multiphase flow modelsin networks , SIAM J. Sci. Comp., Vol. 31(6), 2010
  159. J.-M. Ngnotchouye, M. Herty, S. Veelken, M. K. Banda - Relaxation approaches to the optimal control of the Euler equations Computational and Applied Mathematics, 2010
  160. A. Fügenschuh, M. Frank, M. Herty, L. Schewe - The coolest path problem NHM, Vol. 5, 2010
  161. M. Gugat, M. Herty - Existence of classical solutions and feedback stabilization for the flow in gas networks ESAIM COCV, 2010
  162. M. Herty, R. Illner - Analytical and Numerical Investigationsof Refined Macrosopic Traffic Flow Models KRM, 2009
  163. A. Dittel, A. F¨genschuh, S. Göttlich, M. Herty - MIP Presolve Techniques for a PDE--based supply chain model - OMS, Vol. 24(3), 427--445, 2009
  164. A. F¨genschuh, S. Göttlich, M. Herty, C. Kirchner, A. Martin - Equivalence of a mixed-integer and linear program for a supplynetwork model - Computing, 2009
  165. M. Gugat, M. Herty - The smoothed penalty algorithm for state constrainedoptimal control problems for partial differential equations - OMS, Volume 25 (4), p 573--599, 2010
  166. M. Herty, A. Klar, S. Motsch, F. Olawsky - A smooth for fiberlay-down processes and its diffusion approximations KRM, Vol. (3), 2009
  167. M. Gugat, M. Herty, V. Schleper - Flow control in gas networks: Exact controllability to a given demand, M2AS, 2009
  168. M. La Marca, D. Armbruster, M. Herty, Ch. Ringhofer - Control of continuum models production systems, IEEE Transactions on Automatic Control, 2009
  169. S. Göttlich, M. Herty, Ch. Ringhofer - Optimization of orderpolicies in supply networks European Journal on Supply Chains, 2009
  170. R. M. Colombo, M. Herty, M. Mercier - Control of Continuity Equation with a non local flow ESAIM COCV, 2009
  171. 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
  172. R. Illner, M. Herty - On Stop-and-go waves in dense traffic - KRM, 2008
  173. R. Colombo, G. Guerra, M. Herty, V. Sachers - Modeling and Optimal Control of Networks of Pipes and Canals SIAM J. Control, 2009
  174. M. Herty, J. Mohring, V. Sachers -A new model for gas flow in pipe networks M2AS, 2009
  175. M. Herty, J.-P. Lebacque, S. Moutari -A new model for intersections of vehicular traffic flow NHM Vol. 4, 2009
  176. R.M. Colombo, M. Herty, V. Sachers - On 2x2 conservation laws at a junction - SIAM J. Math. Anal., Vol. 40(2), 605--622, 2008
  177. M. Herty, V. Sachers - Adjoint calculus for optimization of gas networks - Networks and Heterogenous Media, 2008
  178. M. Herty, M. Seaid, L. Pareschi - Enskog--like discrete velocitymodels for vehicular traffic flow - Networks and Heterogenous Media, Vol. 2, 2007,pp 481--496
  179. M. Herty, C. Kirchner, S. Moutari, M. Rascle - Multicommodity Flows on Road Networks- Communications in Mathematical Sciences, Vol. 6(1), 171-187, 2008
  180. M.K. Banda, M. Herty - Multiscale Modeling of gas flow in pipe networks Mathematical Methods in the Applied Sciences, Vol. 31(8), 915--936, 2008
  181. M. Frank, M. Herty, M. Schäfer - Optimal Treatment Planning inRadiotherapy based on Boltzmann Transport Calculations Mathematical Models and Methods in Applied Sciences, Vol. 18(4), 573--592, 2008
  182. M. Herty, M. Seaid - Simulation of transient gas flow at pipe-to-pipeintersections - International Journal for Numerical Methodsin Fluids, Vol. 56(5), 485-506, 2008
  183. M. Herty - Coupling conditions for networked systems of Euler equations - SIAM J. Sci. Comp., Vol. 30(3), 1596--1612, 2007
  184. P. Degond, S. Göttlich, M. Herty, A. Klar - A network model supply chains with multiple policies -- SIAM Multiscale Modeling and Simulation, Vol.6(3), 2007
  185. M. Herty, C. Kirchner, S. Moutari - Multi-Class Traffic Models For Road Networks - Communications in Mathematical Sciences (CMS), Vol. 4(3), 2006.
  186. M. Herty, A. Klar, B. Piccoli - Existence of solutions for supply chain models based on partial differential equations - SIAM J. Math. Anal.Vol. 39(1), pp. 160–173, 2007
  187. A. Fügenschuh, S. Göttlich, M. Herty, A. Klar, A. Martin - A discrete optimization approach to large scale supply networks based on partial differential equations - SIAM J. Sci. Comp., Vol. 30(3), 2007
  188. M. Herty - Modeling, Simulation and Optimization of Gas Networks withCompressors - Networks and Heterogenous Media, Vol. 2(1), 2007
  189. M. Heinkenschloss, M. Herty - A Spatial Domain Decomposition Method for Parabolic Optimal Control Problems - Journal of Computational and Applied Mathematics (JCAM), Vol. 201, (2007).
  190. M. Herty, A. Klar, A.K. Singh, P. Spellucci - Smoothed Penalty Algorithms for Optimization ofNonlinear Models - Computational Optimization and Applications (COAP), Vol. 37(2), 2007
  191. M. Herty, M. Seaid, A. Singh - A Domain Decomposition Method For Conservation Laws with Discontinuous Flux Function - Applied Numerical Mathematics,Vol. 57(4), 361-373, 2007
  192. M. Herty, R. Pinnau, G. Thömmes - Asymptotic and Discrete ConceptsFor Optimal Control In Radiative Transfer --Journal of Applied Mathematics and Mechanics (ZAMM), Vol. 4, 2007
  193. M. Herty, C. Kirchner, A. Klar - Instantaneous Control of Traffic Networks - Mathematical Models in Applied Science (M2AS), Vol. 30(2), 153-169, 2007
  194. M. Herty, A. Klar, A.K. Singh - An ODE traffic network model - Journal of Comp. and Appl. Math. (JCAM), Vol. 203, 2007
  195. M. Herty, M. Rascle - Coupling conditions for a class of second order models for traffic flow - SIAM J Math Anal, Vol. 38(2), pp. 595--616, 2006.
  196. 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
  197. M. Herty, L. Pareschi, M. Seaid - Discrete velocity models andrelaxation schemes for traffic flows - SIAM J Sci Comp., Vol. 28, 2006
  198. M. Herty, R. Illner, A. Klar, V. Panferov - Qualitative Propertiesof Solutions of Systems of Fokker-Planck Equations in MultilaneTraffic Flow -Transportation Theory and Statistical Physics, Vol. 34(7),2006.
  199. M. Herty, R. Pinnau, M. Seaid - On Optimal Control Problems in Radiative Transfer - Optimization Methods and Software, Vol. 22(6), 917-936, 2007
  200. 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
  201. 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
  202. S. Göttlich, M. Herty, C. Kirchner, A. Klar - Optimal control for continuous supply network models --Networks and Heterogenous Media, Vol. 1(4), 2006
  203. S. Göttlich, M. Herty, A. Klar - Modeling and Optimization of Supply Chains on Complex Networks - Communications in Mathematical Sciences (CMS), Vol. 4(2), p315--330, 2006
  204. M. Gugat, M. Herty, A. Klar, G. Leugering - Conservation law constrained optimization based upon Front-Tracking - ESAIM: Mathematics Mathematical Modeling and Numerical Analysis (M2AN), Vol. 40 (2007), pp.939-960.
  205. M.K. Banda, M. Herty, A. Klar - Gas flow in pipeline networks - Networks and Heterogenous Media (NHM), Vol. 1 (1), p41--56, 2006
  206. A. Fügenschuh, M. Herty, A. Klar, A. Martin - Combinatorialand Continuous Models for the Optimization of Traffic Flows on Networks - SIAM J Optimization, Vol. 16(4), pp. 1155--1176, 2006.
  207. M. K. Banda, M. Herty, A. Klar - Coupling conditions for gas networksgoverned by the isothermal Euler equations - Networks and Heterogenous Media (NHM), Vol. 1(2), 2006.
  208. M. Herty, S. Moutari, M. Rascle - Optimization criteria for modelingintersections of vehicular traffic flow - Networks and Heterogenous Media (NHM), Vol. 1(2), 2006.
  209. M. Gugat, M.Herty, A. Klar, G. Leugering - Optimal Control forTraffic Flow Networks -Journal of Optimization Theory and Applications (JOTA)126, No. 3, pp 589-616, 2005.
  210. S. Göttlich, M. Herty, A. Klar - Network models for supply chains - Commmunications in Mathematical Sciences (CMS), Vol. 3(4), 2005.
  211. M. Herty, A. Klar - Simplified Dynamics and Optimization of LargeScale Traffic Networks - Mathematical Models and Methods in Applied Sciences (M3AS),Vol. 14(4), pp. 579-601, 2004
  212. M. Herty, A. Klar - Modelling, Simulation and Optimization of TrafficFlow Networks -SIAM J. Sci. Comp., Vol. 25(3), pp. 1066-1087, 2003

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