274 citations · 1.8k across the 48 of their papers we have counts for
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Towards tensor-based methods for the numerical approximation of the Perron-Frobenius and Koopman operator
Stefan Klus, Christof Schütte
The global behavior of dynamical systems can be studied by analyzing the eigenvalues and corresponding eigenfunctions of linear operators associated with the system. Two important…
On the numerical approximation of the Perron-Frobenius and Koopman operator
Stefan Klus, Péter Koltai, Christof Schütte
Information about the behavior of dynamical systems can often be obtained by analyzing the eigenvalues and corresponding eigenfunctions of linear operators associated with a dynami…
Sensing and Control in Symmetric Networks
Michael Dellnitz, Stefan Klus
In engineering applications, one of the major challenges today is to develop reliable and robust control algorithms for complex networked systems. Controllability and observability…
Sparse Automatic Differentiation for Complex Networks of Differential-Algebraic Equations Using Abstract Elementary Algebra
Slaven Peles, Stefan Klus
Most numerical solvers and libraries nowadays are implemented to use mathematical models created with language-specific built-in data types (e.g. real in Fortran or double in C) an…
Signal-Flow Based Runge-Kutta Methods for the Simulation of Complex Networks
Stefan Klus
Complex dynamical networks appear in a wide range of physical, biological, and engineering systems. The coupling of subsystems with varying time scales often results in multirate b…