Max Planck Institute for Dynamics of Complex Technical Systems

New use of mononuclear Mn/Co/Ni/Cu complexes of symmetric N2O2-type Schiff base as hydrogen-evolving catalysts

Abstract Development of sustainable hydrogen production methods is crucial for the future hydrogen economy. Hence, designing cheap, stable and efficient catalysts for hydrogen generation is important. Here, we present the use of the family of eight Schiff base ligand-based transi...

A local discontinuous Galerkin method for Dirichlet boundary control problems

Abstract In this paper, we consider control constrained L 2 -Dirichlet boundary control of a convection−diffusion equation on a two dimensional convex polygonal domain. We discretize the control problem based on the local discontinuous Galerkin method with piecewise linear ansatz...

Partial Observation of Linear Systems With the Mori–Zwanzig Formalism

ABSTRACT The Mori–Zwanzig (MZ) formalism provides a systematic framework for deriving reduced‐order model of dynamical systems when only part of the state is observed, but its practical use is often limited by the complexity of the resulting computations. This paper develops an e...

\({\mathcal{H}}_{2}\)-Optimal Model Reduction of Linear Quadratic-Output Systems by Multivariate Rational Interpolation

Abstract. This paper addresses the [Formula: see text]-optimal approximation of linear dynamical systems with quadratic-output functions, also known as linear quadratic-output systems. Our major contributions are threefold. First, we derive interpolatory first-order optimality co...

Second-order AAA algorithms for structured data-driven modeling

Abstract The data-driven modeling of dynamical systems has become an essential tool for the construction of accurate computational models from real-world data. In this process, the inherent differential structures underlying the considered physical phenomena are often neglected m...

Generalizing reduced rank extrapolation to low-rank matrix sequences

Abstract Reduced rank extrapolation (RRE) is an acceleration method typically used to accelerate the iterative solution of nonlinear systems of equations using a fixed-point process. In this context, the iterates are vectors generated from a fixed-point mapping function. However,...