Michael Herty

Alexander Kurganov

J. Comput. Phys., 2025

2024

A Game-Theoretic Framework for Generic Second-Order Traffic Flow Models Using Mean Field Games and Adversarial Inverse Reinforcement Learning.

[BibT_eX]

[DOI]

Transp. Sci., 2024

Numerical Schemes for Coupled Systems of Nonconservative Hyperbolic Equations.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2024

A numerical method for solving the generalized tangent vector of hyperbolic systems.

[BibT_eX]

[DOI]

Yizhou Zhou

CoRR, 2024

An Asymptotic-Preserving Scheme for Isentropic Flow in Pipe Networks.

[BibT_eX]

[DOI]

Michael Redle

CoRR, 2024

Numerical Boundary Control of Multi-Dimensional Hyperbolic Equations.

[BibT_eX]

[DOI]

CoRR, 2024

Kinetic Theories for Metropolis Monte Carlo Methods.

[BibT_eX]

[DOI]

CoRR, 2024

The turnpike property for high-dimensional interacting agent systems in discrete time.

[BibT_eX]

[DOI]

CoRR, 2024

A one-dimensional model for aspiration therapy in blood vessels.

[BibT_eX]

[DOI]

Michael Neidlin

CoRR, 2024

Data/moment-driven approaches for fast predictive control of collective dynamics.

[BibT_eX]

[DOI]

CoRR, 2024

2023

Lyapunov Stabilization for Nonlocal Traffic Flow Models.

[BibT_eX]

[DOI]

Jan Friedrich

SIAM J. Control. Optim., October, 2023

Derivation and Stability Analysis of a Macroscopic Multilane Model for Traffic Flow.

[BibT_eX]

[DOI]

Matteo Piu

Gabriella Puppo

SIAM J. Appl. Math., October, 2023

Filtering Methods for Coupled Inverse Problems.

[BibT_eX]

[DOI]

SIAM J. Appl. Dyn. Syst., June, 2023

Logistics service sharing of sellers on an e-commerce platform considering the behaviour of carbon emission pooling.

[BibT_eX]

[DOI]

Min Wang

Electron. Commer. Res. Appl., May, 2023

Crowd Dynamics: Modeling and Control of Multiagent Systems.

[BibT_eX]

[DOI]

Annu. Rev. Control. Robotics Auton. Syst., May, 2023

Constrained Consensus-Based Optimization.

[BibT_eX]

[DOI]

Giacomo Borghi

Mária Lukácová-Medvid'ová

SIAM J. Optim., March, 2023

Local characteristic decomposition based central-upwind scheme.

[BibT_eX]

[DOI]

J. Comput. Phys., 2023

Mean-Field Limits for Discrete-Time Dynamical Systems via Kernel Mean Embeddings.

[BibT_eX]

[DOI]

Christian Fiedler

Sebastian Trimpe

IEEE Control. Syst. Lett., 2023

New High-Order Numerical Methods for Hyperbolic Systems of Nonlinear PDEs with Uncertainties.

[BibT_eX]

[DOI]

Maria Lukacova-Medvidova

CoRR, 2023

On kernel-based statistical learning in the mean field limit.

[BibT_eX]

[DOI]

Christian Fiedler

Sebastian Trimpe

CoRR, 2023

A data-driven microscopic on-ramp model based on macroscopic network flows.

[BibT_eX]

[DOI]

CoRR, 2023

A central scheme for coupled hyperbolic systems.

[BibT_eX]

[DOI]

CoRR, 2023

Reproducing kernel Hilbert spaces in the mean field limit.

[BibT_eX]

[DOI]

CoRR, 2023

On kernel-based statistical learning theory in the mean field limit.

[BibT_eX]

[DOI]

Christian Fiedler

Sebastian Trimpe

Proceedings of the Advances in Neural Information Processing Systems 36: Annual Conference on Neural Information Processing Systems 2023, 2023

2022

A Stabilization of a Continuous Limit of the Ensemble Kalman Inversion.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2022

Moment-Driven Predictive Control of Mean-Field Collective Dynamics.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2022

Solving quadratic multi-leader-follower games by smoothing the follower's best response.

[BibT_eX]

[DOI]

Anna Thünen

Optim. Methods Softw., 2022

Central schemes for networked scalar conservation laws.

[BibT_eX]

[DOI]

Networks Heterog. Media, 2022

Multiscale control of Stackelberg games.

[BibT_eX]

[DOI]

Anna Thünen

Math. Comput. Simul., 2022

Exploring Parameter and Hyper-Parameter Spaces of Neuroscience Models on High Performance Computers With Learning to Learn.

[BibT_eX]

[DOI]

Alper Yegenoglu

Anand Subramoney

Thorsten Hater

Cristian Jimenez-Romero

Frontiers Comput. Neurosci., 2022

Data-Driven Models for Traffic Flow at Junctions.

[BibT_eX]

[DOI]

CoRR, 2022

Robust feedback stabilization of interacting multi-agent systems under uncertainty.

[BibT_eX]

[DOI]

Giacomo Albi

Chiara Segala

CoRR, 2022

Recent Trends on Nonlinear Filtering for Inverse Problems.

[BibT_eX]

[DOI]

CoRR, 2022

Multiresolution-analysis for stochastic hyperbolic conservation laws.

[BibT_eX]

[DOI]

Adrian Kolb

CoRR, 2022

Probabilistic Constrained Bayesion Inversion for Transpiration Cooling.

[BibT_eX]

[DOI]

CoRR, 2022

Exploring hyper-parameter spaces of neuroscience models on high performance computers with Learning to Learn.

[BibT_eX]

[DOI]

Alper Yegenoglu

Anand Subramoney

Thorsten Hater

Cristian Jimenez-Romero

CoRR, 2022

A Consensus-Based Algorithm for Multi-Objective Optimization and Its Mean-Field Description.

[BibT_eX]

[DOI]

Giacomo Borghi

Proceedings of the 61st IEEE Conference on Decision and Control, 2022

Stabilization of forming processes using multi-dimensional Hamilton-Jacobi equations.

[BibT_eX]

[DOI]

Proceedings of the 61st IEEE Conference on Decision and Control, 2022

2021

Second-Order Traffic Flow Models on Networks.

[BibT_eX]

[DOI]

SIAM J. Appl. Math., 2021

Qualitative properties of mathematical model for data flow.

[BibT_eX]

[DOI]

Cory D. Hauck

Networks Heterog. Media, 2021

Algorithmic differentiation of hyperbolic flow problems.

[BibT_eX]

[DOI]

J. Comput. Phys., 2021

Continuous limits of residual neural networks in case of large input data.

[BibT_eX]

[DOI]

CoRR, 2021

Description of random level sets by polynomial chaos expansions.

[BibT_eX]

[DOI]

CoRR, 2021

Uncertainty Quantification in Hierarchical Vehicular Flow Models.

[BibT_eX]

[DOI]

CoRR, 2021

Efficient simulation of coupled gas and power networks under uncertain demands.

[BibT_eX]

[DOI]

Eike Fokken

CoRR, 2021

Model-Order Reduction For Hyperbolic Relaxation Systems.

[BibT_eX]

[DOI]

Sara Grundel

CoRR, 2021

Stability analysis of a hyperbolic stochastic Galerkin formulation for the Aw-Rascle-Zhang model with relaxation.

[BibT_eX]

[DOI]

Stephan Gerster

CoRR, 2021

Input-to-State Stability of a Scalar Conservation Law with Nonlocal Velocity.

[BibT_eX]

[DOI]

Gediyon Weldegiyorgis

Axioms, 2021

Consistent Control of a Stackelberg Game with Infinitely many Followers.

[BibT_eX]

[DOI]

Anna Thünen

Proceedings of the 2021 60th IEEE Conference on Decision and Control (CDC), 2021

2020

New coupling conditions for isentropic flow on networks.

[BibT_eX]

[DOI]

Yannick Holle

Michael Westdickenberg

Networks Heterog. Media, 2020

Mean field models for large data-clustering problems.

[BibT_eX]

[DOI]

Networks Heterog. Media, 2020

Modeling, Control and Numerics of Gas Networks.

[BibT_eX]

[DOI]

Martin Gugat

CoRR, 2020

A Stabilization of a Continuous Limit of the Ensemble Kalman Filter.

[BibT_eX]

[DOI]

CoRR, 2020

Hyperbolic Discretization via Riemann Invariants.

[BibT_eX]

[DOI]

Sara Grundel

CoRR, 2020

Simplified ResNet approach for data driven prediction of microstructure-fatigue relationship.

[BibT_eX]

[DOI]

CoRR, 2020

From kinetic to macroscopic models and back.

[BibT_eX]

[DOI]

Gabriella Puppo

CoRR, 2020

Kinetic Theory for Residual Neural Networks.

[BibT_eX]

[DOI]

Torsten Trimborn

CoRR, 2020

Optimal price and service decisions for sharing platform and coordination between manufacturer and platform with recycling.

[BibT_eX]

[DOI]

Xuejie Ren

Comput. Ind. Eng., 2020

Ensemble Kalman Filter Optimizing Deep Neural Networks: An Alternative Approach to Non-performing Gradient Descent.

[BibT_eX]

[DOI]

Proceedings of the Machine Learning, Optimization, and Data Science, 2020

A Relaxation Algorithm for Optimal Control Problems Governed by Two-Dimensional Conservation Laws.

[BibT_eX]

[DOI]

Loubna Salhi

Proceedings of the Computational Science - ICCS 2020, 2020

2019

Well-balanced scheme for gas-flow in pipeline networks.

[BibT_eX]

[DOI]

Yogiraj Mantri

Sebastian Noelle

Networks Heterog. Media, 2019

A New Approach for Designing Moving-Water Equilibria Preserving Schemes for the Shallow Water Equations.

[BibT_eX]

[DOI]

J. Sci. Comput., 2019

Hyperbolic stochastic Galerkin formulation for the <i>p</i>-system.

[BibT_eX]

[DOI]

Stephan Gerster

Aleksey Sikstel

J. Comput. Phys., 2019

Joint replenishment and carbon trading in fresh food supply chains.

[BibT_eX]

[DOI]

Min Wang

Eur. J. Oper. Res., 2019

Continuous Limits for Constrained Ensemble Kalman Filter.

[BibT_eX]

[DOI]

CoRR, 2019

Recent developments in controlled crowd dynamics.

[BibT_eX]

[DOI]

Torsten Trimborn

CoRR, 2019

Fast and accurate simulations of shallow water equations in large networks.

[BibT_eX]

[DOI]

Nouh Izem

Comput. Math. Appl., 2019

Linear multistep methods for optimal control problems and applications to hyperbolic relaxation systems.

[BibT_eX]

[DOI]

Giacomo Albi

Appl. Math. Comput., 2019

Convex Quadratic Mixed-Integer Problems with Quadratic Constraints.

[BibT_eX]

[DOI]

Kathinka Hameister

Proceedings of the Operations Research Proceedings 2019, 2019

2018

From Traffic and Pedestrian Follow-the-Leader Models with Reaction Time to First Order Convection-Diffusion Flow Models.

[BibT_eX]

[DOI]

SIAM J. Appl. Math., 2018

Hybrid Stochastic Kinetic Description of Two-Dimensional Traffic Dynamics.

[BibT_eX]

[DOI]

SIAM J. Appl. Math., 2018

Macroscopic Modeling of Multilane Motorways Using a Two-Dimensional Second-Order Model of Traffic Flow.

[BibT_eX]

[DOI]

SIAM J. Appl. Math., 2018

A two-dimensional data-driven model for traffic flow on highways.

[BibT_eX]

[DOI]

Adrian Fazekas

Networks Heterog. Media, 2018

Modelling carbon trading and refrigerated logistics services within a fresh food supply chain under carbon cap-and-trade regulation.

[BibT_eX]

[DOI]

Min Wang

Int. J. Prod. Res., 2018

Feedback boundary control of linear hyperbolic equations with stiff source term.

[BibT_eX]

[DOI]

Hui Yu

Int. J. Control, 2018

Suboptimal nonlinear feedback control laws for collective dynamics.

[BibT_eX]

[DOI]

Dante Kalise

Proceedings of the 14th IEEE International Conference on Control and Automation, 2018

2017

Coupling conditions for the transition from supersonic to subsonic fluid states.

[BibT_eX]

[DOI]

Martin Gugat

Networks Heterog. Media, 2017

Multivalued Fundamental Diagrams of Traffic Flow in the Kinetic Fokker-Planck Limit.

[BibT_eX]

[DOI]

Multiscale Model. Simul., 2017

Quantity and Location Decision of Fresh Food Distribution Centers for a Supermarket Chain under Carbon Policies.

[BibT_eX]

[DOI]

Proceedings of the 50th Hawaii International Conference on System Sciences, 2017

2016

Numerical Discretization of Coupling Conditions by High-Order Schemes.

[BibT_eX]

[DOI]

Axel-Stefan Häck

J. Sci. Comput., 2016

Contingent rerouting for enhancing supply chain resilience from supplier behavior perspective.

[BibT_eX]

[DOI]

Xinping Wang

Int. Trans. Oper. Res., 2016

Feedback boundary control of linear hyperbolic systems with relaxation.

[BibT_eX]

[DOI]

Wen-An Yong

Autom., 2016

Boundary stabilization of hyperbolic conservation laws using conservative finite volume schemes.

[BibT_eX]

[DOI]

Hui Yu

Proceedings of the 55th IEEE Conference on Decision and Control, 2016

2015

Data-Fitted Second-Order Macroscopic Production Models.

[BibT_eX]

[DOI]

L. Forestier-Coste

SIAM J. Appl. Math., 2015

Mean-field control and Riccati equations.

[BibT_eX]

[DOI]

Networks Heterog. Media, 2015

Integrating release and dispatch policies in production models.

[BibT_eX]

[DOI]

Networks Heterog. Media, 2015

On linearized coupling conditions for a class of isentropic multiphase drift-flux models at pipe-to-pipe intersections.

[BibT_eX]

[DOI]

Jean-Medard T. Ngnotchouye

J. Comput. Appl. Math., 2015

Modeling and optimizing traffic light settings in road networks.

[BibT_eX]

[DOI]

Ute Ziegler

Comput. Oper. Res., 2015

Dynamic Programming Approach for Discrete-Valued Time Discrete Optimal Control Problems with Dwell Time Constraints.

[BibT_eX]

[DOI]

Proceedings of the System Modeling and Optimization - 27th IFIP TC 7 Conference, CSMO 2015, 2015

Optimal feedback control of the incompressible Navier-Stokes-Equations using reduced order models.

[BibT_eX]

[DOI]

Lorenz Pyta

Dirk Abel

Proceedings of the 54th IEEE Conference on Decision and Control, 2015

Multi-scale modeling and nodal control for gas transportation networks.

[BibT_eX]

[DOI]

Proceedings of the 54th IEEE Conference on Decision and Control, 2015

2014

Comparative model accuracy of a data-fitted generalized Aw-Rascle-Zhang model.

[BibT_eX]

[DOI]

Shimao Fan

Benjamin Seibold

Networks Heterog. Media, 2014

Flow on Sweeping Networks.

[BibT_eX]

[DOI]

Pierre Degond

Jian-Guo Liu

Multiscale Model. Simul., 2014

An Eulerian-Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs.

[BibT_eX]

[DOI]

Alina Chertock

Alexander Kurganov

Comput. Optim. Appl., 2014

Kinetic Models for Assembly Lines in Automotive Industries.

[BibT_eX]

[DOI]

Lena Michailidis

Marcus Ziegler

Proceedings of the Operations Research Proceedings 2014, 2014

2013

Implicit-Explicit Runge-Kutta Schemes for Numerical Discretization of Optimal Control Problems.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2013

Numerical discretization of Hamilton-Jacobi equations on networks.

[BibT_eX]

[DOI]

Ute Ziegler

Networks Heterog. Media, 2013

On an inexact gradient method using Proper Orthogonal Decomposition for parabolic optimal control problems.

[BibT_eX]

[DOI]

Christian Jörres

Georg Vossen

Comput. Optim. Appl., 2013

2012

On the relaxation approximation of boundary control of the isothermal Euler equations.

[BibT_eX]

[DOI]

Int. J. Control, 2012

Adjoint IMEX-based schemes for control problems governed by hyperbolic conservation laws.

[BibT_eX]

[DOI]

Comput. Optim. Appl., 2012

Optimal radiotherapy treatment planning using minimum entropy models.

[BibT_eX]

[DOI]

Richard C. Barnard

Martin Frank

Appl. Math. Comput., 2012

A continuum description for a DES control problem.

[BibT_eX]

[DOI]

Proceedings of the 51th IEEE Conference on Decision and Control, 2012

Well-posedness of Networked Hyperbolic Systems of Balance Laws.

[BibT_eX]

[DOI]

Proceedings of the Constrained Optimization and Optimal Control for Partial Differential Equations, 2012

2011

A Scalar Conservation Law with Discontinuous Flux for Supply Chains with Finite Buffers.

[BibT_eX]

[DOI]

SIAM J. Appl. Math., 2011

Modeling and analysis of pooled stepped chutes.

[BibT_eX]

[DOI]

Graziano Guerra

Francesca Marcellini

Networks Heterog. Media, 2011

Gas Pipeline Models Revisited: Model Hierarchies, Nonisothermal Models, and Simulations of Networks.

[BibT_eX]

[DOI]

Jens Brouwer

Ingenuin Gasser

Multiscale Model. Simul., 2011

Feedback controls for continuous priority models in supply chain management.

[BibT_eX]

[DOI]

Comput. Methods Appl. Math., 2011

Time discretizations for numerical optimisation of hyperbolic problems.

[BibT_eX]

[DOI]

Veronika Schleper

Appl. Math. Comput., 2011

Numerical Methods for the Optimal Control of Scalar Conservation Laws.

[BibT_eX]

[DOI]

Proceedings of the System Modeling and Optimization, 2011

2010

Control of Continuum Models of Production Systems.

[BibT_eX]

[DOI]

Michael La Marca

IEEE Trans. Autom. Control., 2010

Toward a Mathematical Analysis for Drift-Flux Multiphase Flow Models in Networks.

[BibT_eX]

[DOI]

Jean-Medard T. Ngnotchouye

SIAM J. Sci. Comput., 2010

The smoothed-penalty algorithm for state constrained optimal control problems for partial differential equations.

[BibT_eX]

[DOI]

Martin Gugat

Optim. Methods Softw., 2010

The coolest path problem.

[BibT_eX]

[DOI]

Networks Heterog. Media, 2010

Optimization of order policies in supply networks.

[BibT_eX]

[DOI]

Eur. J. Oper. Res., 2010

Modeling, Simulation, and Optimization of Supply Chains - A Continuous Approach.

[BibT_eX]

[DOI]

SIAM, ISBN: 978-0-89871-700-6, 2010

2009

Optimal Control in Networks of Pipes and Canals.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2009

MIP presolve techniques for a PDE-based supply chain model.

[BibT_eX]

[DOI]

Optim. Methods Softw., 2009

A novel model for intersections of vehicular traffic flow.

[BibT_eX]

[DOI]

Jean-Patrick Lebacque

Networks Heterog. Media, 2009

Efficient reformulation and solution of a nonlinear PDE-controlled flow network model.

[BibT_eX]

[DOI]

Computing, 2009

A Macro-kinetic Hybrid Model for Traffic Flow on Road Networks.

[BibT_eX]

[DOI]

Comput. Methods Appl. Math., 2009

2008

Coupling Conditions for Networked Systems of Euler Equations.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2008

A Discrete Optimization Approach to Large Scale Supply Networks Based on Partial Differential Equations.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2008

On 2˟2 Conservation Laws at a Junction.

[BibT_eX]

[DOI]

Rinaldo M. Colombo

Veronika Sachers

SIAM J. Math. Anal., 2008

2007

Existence of Solutions for Supply Chain Models Based on Partial Differential Equations.

[BibT_eX]

[DOI]

Benedetto Piccoli

SIAM J. Math. Anal., 2007

Optimal control in radiative transfer.

[BibT_eX]

[DOI]

René Pinnau

Optim. Methods Softw., 2007

Adjoint calculus for optimization of gas networks.

[BibT_eX]

[DOI]

Veronika Sachers

Networks Heterog. Media, 2007

Enskog-like discrete velocity models for vehicular traffic flow.

[BibT_eX]

[DOI]

Networks Heterog. Media, 2007

Modeling, simulation and optimization of gas networks with compressors.

[BibT_eX]

[DOI]

Networks Heterog. Media, 2007

A Network Model for Supply Chains with Multiple Policies.

[BibT_eX]

[DOI]

Multiscale Model. Simul., 2007

Smoothed penalty algorithms for optimization of nonlinear models.

[BibT_eX]

[DOI]

Comput. Optim. Appl., 2007

Water Contamination Detection.

[BibT_eX]

[DOI]

Armin Fügenschuh

Proceedings of the eOrganisation: Service-, Prozess-, Market-Engineering: 8. Internationale Tagung Wirtschaftsinformatik, 2007

Optimization of Radiative Transfer Equations.

[BibT_eX]

Matthias Schäfer

Proceedings of the International MultiConference of Engineers and Computer Scientists 2007, 2007

2006

Discrete-Velocity Models and Relaxation Schemes for Traffic Flows.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2006

Coupling Conditions for a Class of Second-Order Models for Traffic Flow.

[BibT_eX]

[DOI]

Michel Rascle

SIAM J. Math. Anal., 2006

Combinatorial and Continuous Models for the Optimization of Traffic Flows on Networks.

[BibT_eX]

[DOI]

SIAM J. Optim., 2006

Optimal control for continuous supply network models.

[BibT_eX]

[DOI]

Networks Heterog. Media, 2006

Optimization criteria for modelling intersections of vehicular traffic flow.

[BibT_eX]

[DOI]

Michel Rascle

Networks Heterog. Media, 2006

Coupling conditions for gas networks governed by the isothermal Euler equations.

[BibT_eX]

[DOI]

Networks Heterog. Media, 2006

Gas flow in pipeline networks.

[BibT_eX]

[DOI]

Networks Heterog. Media, 2006

2003

Modeling, Simulation, and Optimization of Traffic Flow Networks.

[BibT_eX]

[DOI]