Michael Herty

Orcid: 0000-0002-6262-2927

According to our database1, Michael Herty authored at least 133 papers between 2003 and 2024.

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Bibliography

2024
A one-dimensional model for aspiration therapy in blood vessels.
CoRR, 2024

Data/moment-driven approaches for fast predictive control of collective dynamics.
CoRR, 2024

2023
Lyapunov Stabilization for Nonlocal Traffic Flow Models.
SIAM J. Control. Optim., October, 2023

Derivation and Stability Analysis of a Macroscopic Multilane Model for Traffic Flow.
SIAM J. Appl. Math., October, 2023

Filtering Methods for Coupled Inverse Problems.
SIAM J. Appl. Dyn. Syst., June, 2023

Logistics service sharing of sellers on an e-commerce platform considering the behaviour of carbon emission pooling.
Electron. Commer. Res. Appl., May, 2023

Crowd Dynamics: Modeling and Control of Multiagent Systems.
Annu. Rev. Control. Robotics Auton. Syst., May, 2023

Constrained Consensus-Based Optimization.
SIAM J. Optim., March, 2023

Local characteristic decomposition based central-upwind scheme.
J. Comput. Phys., 2023

Mean-Field Limits for Discrete-Time Dynamical Systems via Kernel Mean Embeddings.
IEEE Control. Syst. Lett., 2023

New High-Order Numerical Methods for Hyperbolic Systems of Nonlinear PDEs with Uncertainties.
CoRR, 2023

Numerical schemes for coupled systems of nonconservative hyperbolic equations.
CoRR, 2023

On kernel-based statistical learning in the mean field limit.
CoRR, 2023

A data-driven microscopic on-ramp model based on macroscopic network flows.
CoRR, 2023

A central scheme for coupled hyperbolic systems.
CoRR, 2023

Reproducing kernel Hilbert spaces in the mean field limit.
CoRR, 2023

On kernel-based statistical learning theory in the mean field limit.
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.
SIAM J. Numer. Anal., 2022

Moment-Driven Predictive Control of Mean-Field Collective Dynamics.
SIAM J. Control. Optim., 2022

Solving quadratic multi-leader-follower games by smoothing the follower's best response.
Optim. Methods Softw., 2022

Central schemes for networked scalar conservation laws.
Networks Heterog. Media, 2022

Multiscale control of Stackelberg games.
Math. Comput. Simul., 2022

Exploring Parameter and Hyper-Parameter Spaces of Neuroscience Models on High Performance Computers With Learning to Learn.
Frontiers Comput. Neurosci., 2022

Data-Driven Models for Traffic Flow at Junctions.
CoRR, 2022

Robust feedback stabilization of interacting multi-agent systems under uncertainty.
CoRR, 2022

Recent Trends on Nonlinear Filtering for Inverse Problems.
CoRR, 2022

Multiresolution-analysis for stochastic hyperbolic conservation laws.
CoRR, 2022

Probabilistic Constrained Bayesion Inversion for Transpiration Cooling.
CoRR, 2022

Exploring hyper-parameter spaces of neuroscience models on high performance computers with Learning to Learn.
CoRR, 2022

A Consensus-Based Algorithm for Multi-Objective Optimization and Its Mean-Field Description.
Proceedings of the 61st IEEE Conference on Decision and Control, 2022

Stabilization of forming processes using multi-dimensional Hamilton-Jacobi equations.
Proceedings of the 61st IEEE Conference on Decision and Control, 2022

2021
Second-Order Traffic Flow Models on Networks.
SIAM J. Appl. Math., 2021

Qualitative properties of mathematical model for data flow.
Networks Heterog. Media, 2021

Algorithmic differentiation of hyperbolic flow problems.
J. Comput. Phys., 2021

Continuous limits of residual neural networks in case of large input data.
CoRR, 2021

Description of random level sets by polynomial chaos expansions.
CoRR, 2021

Uncertainty Quantification in Hierarchical Vehicular Flow Models.
CoRR, 2021

Efficient simulation of coupled gas and power networks under uncertain demands.
CoRR, 2021

Model-Order Reduction For Hyperbolic Relaxation Systems.
CoRR, 2021

Stability analysis of a hyperbolic stochastic Galerkin formulation for the Aw-Rascle-Zhang model with relaxation.
CoRR, 2021

Input-to-State Stability of a Scalar Conservation Law with Nonlocal Velocity.
Axioms, 2021

Consistent Control of a Stackelberg Game with Infinitely many Followers.
Proceedings of the 2021 60th IEEE Conference on Decision and Control (CDC), 2021

2020
New coupling conditions for isentropic flow on networks.
Networks Heterog. Media, 2020

Mean field models for large data-clustering problems.
Networks Heterog. Media, 2020

Modeling, Control and Numerics of Gas Networks.
CoRR, 2020

A Stabilization of a Continuous Limit of the Ensemble Kalman Filter.
CoRR, 2020

Hyperbolic Discretization via Riemann Invariants.
CoRR, 2020

Simplified ResNet approach for data driven prediction of microstructure-fatigue relationship.
CoRR, 2020

From kinetic to macroscopic models and back.
CoRR, 2020

Kinetic Theory for Residual Neural Networks.
CoRR, 2020

Optimal price and service decisions for sharing platform and coordination between manufacturer and platform with recycling.
Comput. Ind. Eng., 2020

Ensemble Kalman Filter Optimizing Deep Neural Networks: An Alternative Approach to Non-performing Gradient Descent.
Proceedings of the Machine Learning, Optimization, and Data Science, 2020

A Relaxation Algorithm for Optimal Control Problems Governed by Two-Dimensional Conservation Laws.
Proceedings of the Computational Science - ICCS 2020, 2020

2019
Well-balanced scheme for gas-flow in pipeline networks.
Networks Heterog. Media, 2019

A New Approach for Designing Moving-Water Equilibria Preserving Schemes for the Shallow Water Equations.
J. Sci. Comput., 2019

Hyperbolic stochastic Galerkin formulation for the <i>p</i>-system.
J. Comput. Phys., 2019

Joint replenishment and carbon trading in fresh food supply chains.
Eur. J. Oper. Res., 2019

Continuous Limits for Constrained Ensemble Kalman Filter.
CoRR, 2019

Recent developments in controlled crowd dynamics.
CoRR, 2019

Fast and accurate simulations of shallow water equations in large networks.
Comput. Math. Appl., 2019

Linear multistep methods for optimal control problems and applications to hyperbolic relaxation systems.
Appl. Math. Comput., 2019

Convex Quadratic Mixed-Integer Problems with Quadratic Constraints.
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.
SIAM J. Appl. Math., 2018

Hybrid Stochastic Kinetic Description of Two-Dimensional Traffic Dynamics.
SIAM J. Appl. Math., 2018

Macroscopic Modeling of Multilane Motorways Using a Two-Dimensional Second-Order Model of Traffic Flow.
SIAM J. Appl. Math., 2018

A two-dimensional data-driven model for traffic flow on highways.
Networks Heterog. Media, 2018

Modelling carbon trading and refrigerated logistics services within a fresh food supply chain under carbon cap-and-trade regulation.
Int. J. Prod. Res., 2018

Feedback boundary control of linear hyperbolic equations with stiff source term.
Int. J. Control, 2018

Suboptimal nonlinear feedback control laws for collective dynamics.
Proceedings of the 14th IEEE International Conference on Control and Automation, 2018

2017
Coupling conditions for the transition from supersonic to subsonic fluid states.
Networks Heterog. Media, 2017

Multivalued Fundamental Diagrams of Traffic Flow in the Kinetic Fokker-Planck Limit.
Multiscale Model. Simul., 2017

Quantity and Location Decision of Fresh Food Distribution Centers for a Supermarket Chain under Carbon Policies.
Proceedings of the 50th Hawaii International Conference on System Sciences, 2017

2016
Numerical Discretization of Coupling Conditions by High-Order Schemes.
J. Sci. Comput., 2016

Contingent rerouting for enhancing supply chain resilience from supplier behavior perspective.
Int. Trans. Oper. Res., 2016

Feedback boundary control of linear hyperbolic systems with relaxation.
Autom., 2016

Boundary stabilization of hyperbolic conservation laws using conservative finite volume schemes.
Proceedings of the 55th IEEE Conference on Decision and Control, 2016

2015
Data-Fitted Second-Order Macroscopic Production Models.
SIAM J. Appl. Math., 2015

Mean-field control and Riccati equations.
Networks Heterog. Media, 2015

Integrating release and dispatch policies in production models.
Networks Heterog. Media, 2015

On linearized coupling conditions for a class of isentropic multiphase drift-flux models at pipe-to-pipe intersections.
J. Comput. Appl. Math., 2015

Modeling and optimizing traffic light settings in road networks.
Comput. Oper. Res., 2015

Dynamic Programming Approach for Discrete-Valued Time Discrete Optimal Control Problems with Dwell Time Constraints.
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.
Proceedings of the 54th IEEE Conference on Decision and Control, 2015

Multi-scale modeling and nodal control for gas transportation networks.
Proceedings of the 54th IEEE Conference on Decision and Control, 2015

2014
Comparative model accuracy of a data-fitted generalized Aw-Rascle-Zhang model.
Networks Heterog. Media, 2014

Flow on Sweeping Networks.
Multiscale Model. Simul., 2014

An Eulerian-Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs.
Comput. Optim. Appl., 2014

Kinetic Models for Assembly Lines in Automotive Industries.
Proceedings of the Operations Research Proceedings 2014, 2014

2013
Implicit-Explicit Runge-Kutta Schemes for Numerical Discretization of Optimal Control Problems.
SIAM J. Numer. Anal., 2013

Numerical discretization of Hamilton-Jacobi equations on networks.
Networks Heterog. Media, 2013

On an inexact gradient method using Proper Orthogonal Decomposition for parabolic optimal control problems.
Comput. Optim. Appl., 2013

2012
On the relaxation approximation of boundary control of the isothermal Euler equations.
Int. J. Control, 2012

Adjoint IMEX-based schemes for control problems governed by hyperbolic conservation laws.
Comput. Optim. Appl., 2012

Optimal radiotherapy treatment planning using minimum entropy models.
Appl. Math. Comput., 2012

A continuum description for a DES control problem.
Proceedings of the 51th IEEE Conference on Decision and Control, 2012

Well-posedness of Networked Hyperbolic Systems of Balance Laws.
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.
SIAM J. Appl. Math., 2011

Modeling and analysis of pooled stepped chutes.
Networks Heterog. Media, 2011

Gas Pipeline Models Revisited: Model Hierarchies, Nonisothermal Models, and Simulations of Networks.
Multiscale Model. Simul., 2011

Feedback controls for continuous priority models in supply chain management.
Comput. Methods Appl. Math., 2011

Time discretizations for numerical optimisation of hyperbolic problems.
Appl. Math. Comput., 2011

Numerical Methods for the Optimal Control of Scalar Conservation Laws.
Proceedings of the System Modeling and Optimization, 2011

2010
Control of Continuum Models of Production Systems.
IEEE Trans. Autom. Control., 2010

Toward a Mathematical Analysis for Drift-Flux Multiphase Flow Models in Networks.
SIAM J. Sci. Comput., 2010

The smoothed-penalty algorithm for state constrained optimal control problems for partial differential equations.
Optim. Methods Softw., 2010

The coolest path problem.
Networks Heterog. Media, 2010

Optimization of order policies in supply networks.
Eur. J. Oper. Res., 2010

Modeling, Simulation, and Optimization of Supply Chains - A Continuous Approach.
SIAM, ISBN: 978-0-89871-700-6, 2010

2009
Optimal Control in Networks of Pipes and Canals.
SIAM J. Control. Optim., 2009

MIP presolve techniques for a PDE-based supply chain model.
Optim. Methods Softw., 2009

A novel model for intersections of vehicular traffic flow.
Networks Heterog. Media, 2009

Efficient reformulation and solution of a nonlinear PDE-controlled flow network model.
Computing, 2009

A Macro-kinetic Hybrid Model for Traffic Flow on Road Networks.
Comput. Methods Appl. Math., 2009

2008
Coupling Conditions for Networked Systems of Euler Equations.
SIAM J. Sci. Comput., 2008

A Discrete Optimization Approach to Large Scale Supply Networks Based on Partial Differential Equations.
SIAM J. Sci. Comput., 2008

On 2˟2 Conservation Laws at a Junction.
SIAM J. Math. Anal., 2008

2007
Existence of Solutions for Supply Chain Models Based on Partial Differential Equations.
SIAM J. Math. Anal., 2007

Optimal control in radiative transfer.
Optim. Methods Softw., 2007

Adjoint calculus for optimization of gas networks.
Networks Heterog. Media, 2007

Enskog-like discrete velocity models for vehicular traffic flow.
Networks Heterog. Media, 2007

Modeling, simulation and optimization of gas networks with compressors.
Networks Heterog. Media, 2007

A Network Model for Supply Chains with Multiple Policies.
Multiscale Model. Simul., 2007

Smoothed penalty algorithms for optimization of nonlinear models.
Comput. Optim. Appl., 2007

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

Optimization of Radiative Transfer Equations.
Proceedings of the International MultiConference of Engineers and Computer Scientists 2007, 2007

2006
Discrete-Velocity Models and Relaxation Schemes for Traffic Flows.
SIAM J. Sci. Comput., 2006

Coupling Conditions for a Class of Second-Order Models for Traffic Flow.
SIAM J. Math. Anal., 2006

Combinatorial and Continuous Models for the Optimization of Traffic Flows on Networks.
SIAM J. Optim., 2006

Optimal control for continuous supply network models.
Networks Heterog. Media, 2006

Optimization criteria for modelling intersections of vehicular traffic flow.
Networks Heterog. Media, 2006

Coupling conditions for gas networks governed by the isothermal Euler equations.
Networks Heterog. Media, 2006

Gas flow in pipeline networks.
Networks Heterog. Media, 2006

2003
Modeling, Simulation, and Optimization of Traffic Flow Networks.
SIAM J. Sci. Comput., 2003


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