Technische Universität Berlin Institut für Mathematik Regularization and Numerical Simulation of Dynamical Systems Modeled with Modelica

Technische Universität Berlin Institut für Mathematik Some Fundamental Considerations for the Application of Macroscopic Models in the Field of Pedestrian Crowd Simulation

Technische Universität Berlin Institut für Mathematik Fundamental Diagrams and Multiple Pedestrian Streams

TECHNISCHE UNIVERSITÄT BERLIN Regularization of linear and nonlinear descriptor systems

Differential-algebraic equations (DAEs) present today the state-of-the-art in dynamical systems arising from automated modularized modeling in almost all areas of science and engineering. While the modeling becomes more and more convenient, the resulting models are typically not easy to treat with current numerical simulation, control and optimization methods. In many cases a reformulation of t...

TECHNISCHE UNIVERSITÄT BERLIN A Combined Structural-Algebraic Approach for the Regularization of Coupled Systems of DAEs

The automated modeling of multi-physical dynamical systems is usually realized by coupling different subsystems together via certain interface or coupling conditions. This approach results in large-scale high-index differential-algebraic equations (DAEs). Since the direct numerical simulation of these kind of systems leads to instabilities and possibly non-convergence of the numerical methods a...

Aus dem Institut für Virologie des Fachbereichs Veterinärmedizin der Freien Universität Berlin Membrane Topology and Processing of the Minor Glycoproteins of Equine Arteritis Virus Inaugural-Dissertation zur Erlangung des Grades eines Ph.D. am Fachbereich Veterinärmedizin an der Freien Universität Berlin