146 citations · 222 across the 32 of their papers we have counts for
5 papers · 1 filter
Parameter identification in uncertain scalar conservation laws discretized with the discontinuous stochastic Galerkin Scheme
Louisa Schlachter, Claudia Totzeck
We study an identification problem which estimates the parameters of the underlying random distribution for uncertain scalar conservation laws. The hyperbolic equations are discret…
An anisotropic interaction model with collision avoidance
Claudia Totzeck
In this article an anisotropic interaction model avoiding collisions is proposed. Starting point is a general isotropic interacting particle system, as used for swarming or followe…
Space mapping-based Receding Horizon Control for Stochastic Interacting Particle Systems: dogs herding sheep
René Pinnau, Claudia Totzeck
Control of stochastic interacting particle systems is a non-trivial task due to the high dimensionality of the problem and the lack of fast algorithms. Here, we propose a space map…
Instantaneous control of interacting particle systems in the mean-field limit
Martin Burger, Rene Pinnau, Claudia Totzeck +2
Controlling large particle systems in collective dynamics by a few agents is a subject of high practical importance, e.g., in evacuation dynamics. In this paper we study an instant…
Mean-field optimal control and optimality conditions in the space of probability measures
Martin Burger, René Pinnau, Claudia Totzeck +1
We derive a framework to compute optimal controls for problems with states in the space of probability measures. Since many optimal control problems constrained by a system of ordi…