E-Dissertationen: Suche
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Sparse Grid Methods for Higher Dimensional Approximation
(2010-09-10)
Diese Arbeit befasst sich mit Dünngitterverfahren zur Lösung von höherdimensionalen Problemen. Sie zeigt drei neue Aspekte von Dünnen Gittern auf: Erweiterungen der elementaren Werkzeuge zur Arbeit mit Dünnen Gittern, eine ...
Numerische Simulation der Interaktion von inkompressiblen Zweiphasenströmungen mit Starrkörpern in drei Raumdimensionen
(2010-09-30)
In dieser Arbeit stellen wir erstmalig einen parallelen Löser für inkompressible Zweiphasenströmungen mit Oberflächenspannung in drei Raumdimensionen vor, der Masseerhaltung und hohe Konvergenzordnung vereint. Als zweite ...
Migration of interneuronal precursor cells in the developing cerebellum of mice: model-based cell tracking and simulation
(2010-12-10)
The navigation of precursor cells of inhibitory interneurons from their germinal zone inside the fourth ventricle through the white matter towards their final destination within the cerebellum's molecular layer is an ongoing ...
Fast Resource Sharing in VLSI Routing
(2010-02-04)
Routing is the last major step in chip design. It naturally splits into global and detailed routing: In global routing, an approximate layout of electrical connections is computed, subject to constraints on ...
Transistor-Level Layout of Integrated Circuits
(2014-07-29)
In this dissertation, we present the toolchain BonnCell and its underlying algorithms. It has been developed in close cooperation with the IBM Corporation and automatically generates the geometry for functional groups of ...
Analysis of Biochemical Reaction Networks using Tropical and Polyhedral Geometry Methods
(2016-12-21)
The field of systems biology makes an attempt to realise various biological functions and processes as the emergent properties of the underlying biochemical network model. The area of computational systems biology deals ...
Mathematical Analysis and Modeling of Signaling Networks
(2017-11-24)
Mathematical models are in focus of modern systems biology and increasingly important to understand and manipulate complex biological systems. At the same time, new and improved techniques in metabolomics and proteomics ...
Numerische Simulation von Knochenumbauvorgängen um zahnärztliche Implantate mit der Finite-Elemente-Methode
(2013-01-23)
Zur Untersuchung der Knochenumbauvorgänge sind neben klinischen auch biomechanische Methoden, die den Hauptgegenstand der vorliegenden Arbeit bilden, von besonderer Bedeutung. Insbesondere numerische Simulationen der ...
Scalable Algorithms for Parallel Tree-based Adaptive Mesh Refinement with General Element Types
(2018-12-12)
In this thesis, we develop, discuss and implement algorithms for scalable parallel tree-based adaptive mesh refinement (AMR) using space-filling curves (SFCs). We create an AMR software that works independently of the used ...