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List of publications through MathSciNet
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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
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M. Herty, Ch. Ringhofer -
Averaged kinetic models for flows on unstructured networks
Kinetic and Related Models, 2011
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G. Guerra, M. Herty, F. Marcellini -
Modeling and analysis of pooled stepped chutes
Networks and Heterogenous Media, 2012
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D. Papadopoulos, M. Herty, V. Rath, M. Behr -
Determining the shape of geological
objects with level sets and the adjoint method
Computational Geosciences, 2011
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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, 2011
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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
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M. Gugat, M. Herty- A smoothed--penalty iteration for state constrained optimal control problems for partial differential equations, Optimization, 2011
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M. Herty, V. Schleper - Traffic flow with unobservant drivers, Journal of Applied Mathematics and Mechanics (ZAMM), 2011
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D. Armbruster, S. Goettlich, M. Herty - A continuous model for supply chains with finite buffers, SIAM J. on Applied Mathematics, 2011
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M. Herty, Ch. Ringhofer - Feedback controls for continuous priority models in supply chain management
CMAM, vol. 11, 2011
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M. Herty, A. Sandjo -
Optimization of the Boltzmann-continuous slowing down
approximation for Treatment Planning in Radiotherapy
M3AS, Vol. 2(21), 2011
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M. Frank, M. Herty, A. Sandjo -
Optimal treatment planning governed by kinetic
equations - M3AS, 2010
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M. Herty, L. Pareschi -
Fokker-Planck Asymptotics for Traffic Flow Models
KRM, Vol. 3(1), 2010
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C. d'Apice, S. Göttlich, M. Herty, B. Piccoli -
Modeling, Simulation, and Optimization of Supply Chains
SIAM Series on Mathematical Modeling and Computation,
SIAM Publishers, 2010
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M. K. Banda, M. Herty -
Adjoint IMEX--based schemes for Control Problems Governed By Hyperbolic Conservation Laws,
Computational Optimization and Applications (COAP), 2010
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M.K. Banda, M. Herty, J.M.T. Ngnotchouye -Towards
a mathematical analysis for drift-flux multiphase flow models
in networks , SIAM J. Sci. Comp., Vol. 31(6), 2010
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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
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A. Fügenschuh, M. Frank, M. Herty, L. Schewe - The coolest path
problem NHM, Vol. 5, 2010 (pdf)
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M. Gugat, M. Herty - Existence of classical solutions and feedback
stabilization for the flow in gas networks ESAIM COCV,
2010
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M. Herty, R. Illner -
Analytical and Numerical Investigations
of Refined Macrosopic Traffic Flow Models
KRM, 2009
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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
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A. F¨genschuh, S. Göttlich, M. Herty, C. Kirchner, A. Martin - Equivalence of a mixed-integer and linear program for a supply
network model - Computing, 2009
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M. Gugat, M. Herty - The smoothed penalty algorithm for state constrained
optimal control problems for partial differential equations - OMS, Volume 25 (4), p 573--599, 2010
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M. Herty, A. Klar, S. Motsch, F. Olawsky - A smooth for fiber
lay-down processes and its diffusion approximations
KRM, Vol. (3), 2009
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M. Gugat, M. Herty, V. Schleper - Flow control in gas networks: Exact
controllability to a given demand, M2AS, 2009
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M. La Marca, D. Armbruster, M. Herty, Ch. Ringhofer - Control of continuum models production systems
IEEE Transactions on Automatic Control, 2009
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S. Göttlich, M. Herty, Ch. Ringhofer - Optimization of order
policies in supply networks European Journal on Supply Chains, 2009
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R. M. Colombo, M. Herty, M. Mercier - Control of Continuity Equation with a non local flow ESAIM COCV, 2009
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M.~K. Banda, M. Herty - Towards a space-mapping approach to dynamic compressor optimization of gas networks ,
Optimial Control, Applications and Methods, 2009
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R. Illner, M. Herty - On Stop-and-go waves in dense traffic - KRM, 2008
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R. Colombo, G. Guerra, M. Herty, V. Sachers - Modeling and Optimal Control of Networks of Pipes and Canals
SIAM J. Control, 2009
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M. Herty, J. Mohring, V. Sachers -A new model for gas flow in pipe networks
M2AS, 2009
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M. Herty, J.-P. Lebacque, S. Moutari -
A new model for intersections of vehicular traffic flow
NHM Vol. 4, 2009
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R.M. Colombo, M. Herty, V. Sachers - On 2x2 conservation laws at a junction - SIAM J. Math. Anal., Vol. 40(2), 605--622, 2008
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M. Herty, V. Sachers - Adjoint calculus for optimization of gas networks - Networks and Heterogenous Media, 2008
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M. Herty, M. Seaid, L. Pareschi - Enskog--like discrete velocity
models for vehicular traffic flow - Networks and Heterogenous Media, Vol. 2, 2007, pp 481--496
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M. Herty, C. Kirchner, S. Moutari, M. Rascle - Multicommodity Flows on Road Networks
- Communications in Mathematical Sciences, Vol. 6(1), 171-187, 2008
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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
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M. Frank, M. Herty, M. Schäfer - Optimal Treatment Planning in
Radiotherapy based on Boltzmann Transport Calculations Mathematical Models and Methods in Applied Sciences, Vol. 18(4), 573--592, 2008
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M. Herty, M. Seaid - Simulation of transient gas flow at pipe-to-pipe
intersections - International Journal for Numerical Methods
in Fluids, Vol. 56(5), 485-506, 2008
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M. Herty - Coupling conditions for networked systems of Euler equations - SIAM J. Sci. Comp., Vol. 30(3), 1596--1612, 2007
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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
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M. Herty, C. Kirchner, S. Moutari - Multi-Class Traffic Models For Road Networks - Communications in Mathematical Sciences (CMS), Vol. 4(3), 2006.
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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
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A. Fügenschuh, S. Göttlich, M. Herty, A. Klar, A. Martin -
discrete optimization approach to large scale supply networks based on partial differential equations - SIAM J. Sci. Comp., Vol. 30(3), 2007
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M. Herty - Modeling, Simulation and Optimization of Gas Networks with
Compressors - Networks and Heterogenous Media, Vol. 2(1), 2007
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M. Heinkenschloss, M. Herty -
A Spatial Domain Decomposition Method for Parabolic Optimal Control
Problems
- Journal of Computational and Applied Mathematics (JCAM), Vol. 201, (2007).
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M. Herty, A. Klar, A.K. Singh, P. Spellucci -
Smoothed Penalty Algorithms for Optimization of
Nonlinear Models
- Computational Optimization and Applications (COAP), Vol. 37(2), 2007
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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
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M. Herty, R. Pinnau, G. Thömmes - Asymptotic and Discrete Concepts
For Optimal Control In Radiative Transfer -
-Journal of Applied Mathematics and Mechanics (ZAMM), Vol. 4, 2007
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M. Herty, C. Kirchner, A. Klar -
Instantaneous Control of Traffic Networks
- Mathematical Models in Applied Science (M2AS), Vol. 30(2), 153-169, 2007
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M. Herty, A. Klar, A.K. Singh - An ODE traffic network model
- Journal of Comp. and Appl. Math. (JCAM), Vol. 203, 2007
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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.
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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.
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M. Herty, L. Pareschi, M. Seaid - Discrete velocity models and
relaxation schemes for traffic flows
- SIAM J Sci Comp., Vol. 28, 2006
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M. Herty, R. Illner, A. Klar, V. Panferov - Qualitative Properties
of Solutions of Systems of Fokker-Planck Equations in Multilane
Traffic Flow - Transportation Theory and Statistical Physics, Vol. 34(7),
2006.
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M. Herty, R. Pinnau, M. Seaid - On Optimal Control Problems in Radiative Transfer - Optimization Methods and Software, Vol. 22(6), 917-936, 2007
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M. Herty, C. Ringhofer - Optimization for supply chain with policies Physica A, Vol. 380, pp. 651---664, (2007)
- 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
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S. Göttlich, M. Herty, C. Kirchner, A. Klar - Optimal control
for continuous supply network models --
Networks and Heterogenous Media, Vol. 1(4), 2006
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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
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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.
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M.K. Banda, M. Herty, A. Klar - Gas flow in pipeline networks
- Networks and Heterogenous Media (NHM), Vol. 1 (1), p41--56, 2006
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A. Fügenschuh, M. Herty, A. Klar, A. Martin - Combinatorial
and Continuous Models for the Optimization of Traffic Flows on
Networks - SIAM J Optimization, Vol. 16(4), pp. 1155--1176, 2006.
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M. K. Banda, M. Herty, A. Klar - Coupling conditions for gas networks
governed by the isothermal Euler equations - Networks and Heterogenous Media (NHM), Vol. 1(2), 2006.
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M. Herty, S. Moutari, M. Rascle - Optimization criteria for modeling
intersections of vehicular traffic flow - Networks and Heterogenous Media (NHM), Vol. 1(2), 2006.
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M. Gugat, M.Herty, A. Klar, G. Leugering - Optimal Control for
Traffic Flow Networks -
Journal of Optimization Theory and Applications (JOTA)
126, No. 3, pp 589-616, 2005.
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S. Göttlich, M. Herty, A. Klar - Network models for supply chains
- Commmunications in Mathematical Sciences (CMS), Vol. 3(4), 2005.
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M. Herty, A. Klar - Simplified Dynamics and Optimization of Large
Scale Traffic Networks -
Mathematical Models and Methods in Applied Sciences (M3AS),
Vol. 14(4), pp. 579-601, 2004
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M. Herty, A. Klar - Modelling, Simulation and Optimization of Traffic
Flow Networks -
SIAM J. Sci. Comp., Vol. 25(3), pp. 1066-1087, 2003
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