1 citations · 2 across the 7 of their papers we have counts for
8 papers
Micro-to-macro derivation and stability analysis of an Aw-Rascle-Zhang-type model with driver-dependent acceleration
Stephan Gerster, Giuseppe Visconti
We introduce a new traffic flow model. The main idea is to describe acceleration effects in the Aw-Rascle-Zhang model through an additional driver-dependent equation, thereby allow…
Relaxation and stability analysis of a third-order multiclass traffic flow model
Stephan Gerster, Giuseppe Visconti
Traffic flow modeling spans a wide range of mathematical approaches, from microscopic descriptions of individual vehicle dynamics to macroscopic models based on aggregate quantitie…
Numerical boundary control for semilinear hyperbolic systems
Stephan Gerster, Felix Nagel, Aleksey Sikstel +1
This work is devoted to the design of boundary controls of physical systems that are described by semilinear hyperbolic balance laws. A computational framework is presented that yi…
Haar-type stochastic Galerkin formulations for hyperbolic systems with Lipschitz continuous flux function
Stephan Gerster, Aleksey Sikstel, Giuseppe Visconti
This work is devoted to the Galerkin projection of highly nonlinear random quantities. The dependency on a random input is described by Haar-type wavelet systems. The classical Haa…
Description of random level sets by polynomial chaos expansions
Markus Bambach, Stephan Gerster, Michael Herty +1
We present a novel approach to determine the evolution of level sets under uncertainties in the velocity fields. This leads to a stochastic description of the level sets. To comput…
Stability analysis of a hyperbolic stochastic Galerkin formulation for the Aw-Rascle-Zhang model with relaxation
Stephan Gerster, Michael Herty, Elisa Iacomini
We investigate the propagation of uncertainties in the Aw-Rascle-Zhang model, which belongs to a class of second order traffic flow models described by a system of nonlinear hyperb…
Feedback control for stochastic gas flow
Stephan Gerster
We consider linear hyperbolic balance law that describe gas flow. Stochastic influences are introduced by series of orthogonal functions. A deterministic stabilization concept, whi…
Feedback control for random, linear hyperbolic balance laws
Stephan Gerster, Markus Bambach, Michael Herty +1
We design the controls of physical systems that are faced by uncertainties. The system dynamics are described by random hyperbolic balance laws. The control aims to steer the syste…