We propose efficient algorithms for solving large-scale matrix differential equations. In
particular, we deal with the differential Riccati equations (DRE) and state the applicability to …

The cornerstone of the thesis is to motivate and comprehensively characterise H 2 pseudo-
optimality in the linear model order reduction of large-scale dynamical systems based on …

Abstract (EN) Quantification of stochastic or quantum systems by a joint probability density or
wave function is a notoriously difficult computational problem, since the solution depends on …

The notion of the state is used to describe all kinds of technical, physical, chemical,
sociological, or mental phenomena. The state can mean a velocity, a temperature, a color, a …

A new version of the alternating directions implicit (ADI) iteration for the solution of large-
scale Lyapunov equations is introduced. It generalizes the hitherto existing iteration, by …

Today's developments in production processes lead towards higher and higher precision
requirements and demand an improved stability of the machine towards thermally induced …

Modern industries demand the production of smaller and yet more complex parts requiring
the machine tool itself to fulfill increasing precision standards. Thermal stability is crucial to …

We propose a new method for the approximate solution of the Lyapunov equation with rank-
1 right-hand side, which is based on an extended rational Krylov subspace approximation …

The MESS software suite for solving large scale matrix equations and related problems is
the successor of the obsolete LyaPack MATLAB® toolbox. The software suite consists of a …

We propose a new method for the approximate solution of the Lyapunov equation with rank-
$1 $ right-hand side, which is based on extended rational Krylov subspace approximation …