Modeling and simulation of population balances for particulate processes

This work focuses on the modeling and numerical approximations of population balance equations (PBEs) for the simulation of different phenomena occurring in process engineering. The population balance equation (PBE) is considered to be a statement of continuity. It tracks the change in particle size distribution as particles are born, die, grow or leave a given control volume. In the population balance models the one independent variable represents the time, the other(s) are property coordinate(s), e.g., the particle volume (size) in the present case. They typically describe the temporal evolution of the number density functions and have been used to model various processes such as granulation, crystallization, polymerization, emulsion and cell dynamics. The semi-discrete high resolution schemes are proposed for solving PBEs modeling one and two-dimensional batch crystallization models. The schemes are discrete in property coordinates but continuous in time. The resulting ordinary differential equations can be solved by any standard ODE solver. To improve the numerical accuracy of the schemes a moving mesh technique is introduced in both one and two-dimensional cases ...

Design, modeling and fabrication of radio-frequency microelectromechanical switches and coplanar filters

Magdeburg, Univ., Fak. für Elektrotechnik und Informationstechnik, Diss., 2010

Development of methodology for treating pressure waves from explosions accounting for modeling and data uncertainties

Magdeburg, Univ., Fak. für Verfahrens- und Systemtechnik, Diss., 2012

Discovery and visualization of interesting patterns

Die Preise für Speicherplatz fallen stetig, da verwundert es nicht, dass Unternehmen riesige Datenmengen anhäufen und sammeln. Diese immensen Datenmengen müssen jedoch mit geeigneten Methoden analysiert werden, um für das Unternehmen überlebensnotwendige Muster zu identifizieren. Solche Muster können Probleme aber auch Chancen darstellen. In jedem Fall ist es von größter Bedeutung, rechtzeitig diese Muster zu entdecken, um zeitnah reagieren zu können. Um breite Nutzerschichten anzusprechen, müssen Analysemethoden ferner einfach zu bedienen sein, sofort Rückmeldungen liefern und intuitive Visualisierungen anbieten. Ich schlage in der vorliegenden Arbeit Methoden zur Visualisierung und Filterung von Assoziationsregeln basierend auf ihren zeitlichen Änderungen vor. Ich werde lingustische Terme (die durch Fuzzymengen modelliert werden) verwenden, um die Historien von Regelbewertungsmaßen zu charakterisieren und so eine Ordnung von relevanten Regeln zu generieren. Weiterhin werde ich die vorgeschlagenen Methoden auf weitereModellarten übertragen, die Software-Plattformvorstellen, die die Analysemethoden dem Nutzer zugänglich macht und schließlich empirische Auswertungen auf Echtdaten aus Unternehmenskooperationen vorstellen, die die Wirksamkeit meiner Vorschläge belegen.

Mathematical modeling and evolution of signal transduction pathways and networks

Magdeburg, Univ., Fak. für Naturwiss., Diss., 2013

Design, modeling and control of an autonomous field robot for white asparagus harvesting

Magdeburg, Univ., Fak. für Maschinenbau, Diss., 2014

Methods of visualization and analysis of cardiac depolarization in the three dimensional space

The master thesis presents methods for intellectual analysis and visualization 3D EKG in order to increase the efficiency of ECG analysis by extracting additional data. Visualization is presented as part of the signal analysis tasks considered imaging techniques and their mathematical description. Have been developed algorithms for calculating and visualizing the signal attributes are described using mathematical methods and tools for mining signal. The model of patterns searching for comparison purposes of accuracy of methods was constructed, problems of a clustering and classification of data are solved, the program of visualization of data is also developed. This approach gives the largest accuracy in a task of the intellectual analysis that is confirmed in this work. Considered visualization and analysis techniques are also applicable to the multi-dimensional signals of a different kind.