Dynamical systems are at the core of computational models for a wide range of complex
phenomena and, as a consequence, the simulation of dynamical systems has become a …

The control of complex systems is of critical importance in many branches of science,
engineering, and industry, many of which are governed by nonlinear partial differential …

We introduce a data‐driven model order reduction approach that represents an extension of
the Loewner framework for linear and bilinear systems to the case of quadratic‐bilinear (QB) …

Reduced-order modeling has a long tradition in computational fluid dynamics. The ever-
increasing significance of data for the synthesis of low-order models is well reflected in the …

This paper extends interpolatory model reduction to systems with (up to) quadratic-bilinear
dynamics and quadratic-bilinear outputs. These systems are referred to as QB-QB systems …

In this work, we investigate a model-order reduction scheme for polynomial systems. We
begin with defining the generalized multivariate transfer functions for the system. Based on …

In this thesis, structure-preserving model order reduction for dynamical systems is studied.
The particular focus lies on mechanical systems described by differential equations with …

A new multiphysics mode synthesis (MMS) is presented for the construction of reduced‐
order models of acoustic fluid‐structure interaction systems. The present acoustic‐structure …

In this letter, we investigate balanced truncation for a class of continuous-time bilinear
descriptor systems, appearing, eg, in constraint circuit analysis or resulting from semi …

In this article a framework for the generation of a computationally fast surrogate model for
district heating networks is presented. An appropriate model is given by in an index-1 …