Model reduction: First textbook published by the Max Planck Institute Magdeburg
CDS Member Prof. Dr. Peter Benner, director at the Max Planck Institute Magdeburg and head of the Department of Numerical Methods in Systems and Control Theory, and Prof. Dr. Heike Faßbender, head of the Institute for Numerical Mathematics at the Technical University of Braunschweig, are editors of the 2024 published textbook „Modellreduktion. Eine systemtheoretisch orientierte Einführung“ in the Springer Studium Mathematik (Master) series.
It is the first textbook in the history of the Max Planck Institute for Dynamics of Complex Technical Systems. The focus lies on systems theoretical methods, the development of which forms the essential core of the MPI's engineering research work and is applied here in the field of model reduction of dynamic systems.
The target group of the textbook are students and researchers of applied mathematics as well as computer-aided engineering and natural sciences, who wish to apply model reduction techniques in their fields of work. By using numerical examples the methods are illustrated in a comprehensible way and achieve Mathematical modelling and simulation is necessary to describe the behaviour of complex systems in many areas of research and application. Model order reduction aims to simplify a large system by using a smaller model and thereby achieve a reduced calculation time without a significant loss of accuracy.
„Modellreduktion. Eine systemtheoretisch orientierte Einführung“ introduces the model reduction of linear time-invariant systems with a consistent algorithmic orientation. The textbook presents the necessary fundamentals from systems theory and numerical linear algebra and illustrates methods and concepts using numerical examples, including MATLAB.