120 citations · 243 across the 55 of their papers we have counts for
74 papers
Optimal nodal control and the exponential turnpike property for the flow in gas networks
Martin Gugat, Michael Herty, Michael Schuster +1
We study an optimal boundary control problem for a quasilinear hyperbolic system describing isothermal gas flow in pipelines. The control acts at network nodes and models the actio…
Numerical schemes for coupled systems of nonconservative hyperbolic equations
Niklas Kolbe, Michael Herty, Siegfried Müller
A new linear relaxation system for nonconservative hyperbolic systems is introduced, in which a nonlocal source term accounts for the nonconservative product of the original system…
Speed limits in traffic emission models using multi-objective optimization
Simone Göttlich, Michael Herty, Alena Ulke
Climate change compels a reduction of greenhouse gas emissions, yet vehicular traffic still contributes significantly to the emission of air pollutants. Hence, in this paper we foc…
A data-driven microscopic on-ramp model based on macroscopic network flows
Niklas Kolbe, Moritz Berghaus, Eszter Kalló +2
While macroscopic traffic flow models consider traffic as a fluid, microscopic traffic flow models describe the dynamics of individual vehicles. Capturing macroscopic traffic pheno…
A central scheme for coupled hyperbolic systems
Michael Herty, Niklas Kolbe, Siegfried Müller
A novel numerical scheme to solve coupled systems of conservation laws is introduced. The scheme is derived based on a relaxation approach and does not require information on the L…
Reproducing kernel Hilbert spaces in the mean field limit
Christian Fiedler, Michael Herty, Michael Rom +2
Kernel methods, being supported by a well-developed theory and coming with efficient algorithms, are among the most popular and successful machine learning techniques. From a mathe…