85 citations · 332 across the 23 of their papers we have counts for
23 papers
Multiobjective Optimization of Non-Smooth PDE-Constrained Problems
Marco Bernreuther, Michael Dellnitz, Bennet Gebken +4
Multiobjective optimization plays an increasingly important role in modern applications, where several criteria are often of equal importance. The task in multiobjective optimizati…
On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies
Raphael Gerlach, Sören von der Gracht, Michael Dellnitz
In this article, we investigate the convergence behavior of two classes of gathering protocols with fixed circulant topologies using tools from dynamical systems. Given a fixed num…
Efficient time stepping for numerical integration using reinforcement learning
Michael Dellnitz, Eyke Hüllermeier, Marvin Lücke +4
Many problems in science and engineering require an efficient numerical approximation of integrals or solutions to differential equations. For systems with rapidly changing dynamic…
ROM-based multiobjective optimization of elliptic PDEs via numerical continuation
Stefan Banholzer, Bennet Gebken, Michael Dellnitz +2
Multiobjective optimization plays an increasingly important role in modern applications, where several objectives are often of equal importance. The task in multiobjective optimiza…
Deep Model Predictive Control with Online Learning for Complex Physical Systems
Katharina Bieker, Sebastian Peitz, Steven L. Brunton +2
The control of complex systems is of critical importance in many branches of science, engineering, and industry. Controlling an unsteady fluid flow is particularly important, as fl…
Revealing the intrinsic geometry of finite dimensional invariant sets of infinite dimensional dynamical systems
Raphael Gerlach, Péter Koltai, Michael Dellnitz
Embedding techniques allow the approximations of finite dimensional attractors and manifolds of infinite dimensional dynamical systems via subdivision and continuation methods. The…