EUCCO 2023. Random Batch Methods for Optimal Control of 1D Hyperbolic Systems

On September 27, 2023 our postdoctoral researcher Yue Wang, will talk on “Random Batch Methods for Optimal Control of 1D Hyperbolic Systems” at EUCCO 2023, the 6th European Conference on Computational Optimization at the Heidelberg University in Germany on September 25-27th, 2023.

Abstract. Optimal control for networks of hyperbolic systems is important in many applications, such as gas networks, flexible multi-body systems, and water networks. However, solving such optimal control problems can be computationally demanding when the network is large or contains loops. In this talk, we present new convergence results for the simulation and optimal control of 1D hyperbolic systems by the Random Batch Method (RBM). The RBM is a recently proposed randomized operator-splitting technique inspired by the successes of stochastic algorithms in machine learning [Shi Jin, Lei Li, Jian-Guo Liu, J. of Comp. Phys. , 2020]. The results in this talk are the first extension of the analysis for finite-dimensional optimal control problems in [Veldman, Zuazua, Numer. Math., 2022] to hyperbolic partial differential equations. A numerical example for a network with loops shows that the proposed method reduces the computational cost significantly.

WHEN?
Wed. September 27, 2023

WHERE?
Campus “Im Neuenheimer Feld” (INF)
Heidelberg University, Germany

|| Check more details at the official page of the event