2 citations · 2 across the 3 of their papers we have counts for
13 papers
Space mapping-based optimization with the macroscopic limit of interacting particle systems
Jennifer Weißen, Simone Göttlich, Claudia Totzeck
We propose a space mapping-based optimization algorithm for microscopic interacting particle dynamics which are inappropriate for direct optimization. This is of relevance for exam…
Optimal control for interacting particle systems driven by neural networks
Simone Göttlich, Claudia Totzeck
We propose a neural network approach to model general interaction dynamics and an adjoint based stochastic gradient descent algorithm to calibrate its parameters. The parameter cal…
Input-to-state stability of a scalar conservation law with nonlocal velocity
Simone Göttlich, Michael Herty, Gediyon Weldegiyorgis
In this paper, we study input-to-state stability (ISS) of an equilibrium for a scalar conservation law with nonlocal velocity and measurement error arising in a highly re-entrant m…
The food seeking behavior of slime mold: a macroscopic approach
Simone Göttlich, Stephen Knapp, Dylan Weber
Starting from a particle model we derive a macroscopic aggregation-diffusion equation for the evolution of slime mold under the assumption of propagation of chaos in the large part…
Modelling arterial travel time distribution using copulas
Adam Samara, Felix Rempe, Simone Göttlich
The estimation of travel time distribution (TTD) is critical for reliable route guidance and provides theoretical bases and technical support for advanced traffic management and co…
Properties of the LWR model with time delay
Simone Göttlich, Elisa Iacomini, Thomas Jung
In this article, we investigate theoretical and numerical properties of the first-order Lighthill-Whitham-Richards (LWR) traffic flow model with time delay. Since standard results…