Mathematisch-Naturwissenschaftliche Fakultät: Suche
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Composite Finite Elements for Trabecular Bone Microstructures
(2010-11-19)
In many medical and technical applications, numerical simulations need to be performed for objects with interfaces of geometrically complex shape. We focus on the biomechanical problem of elasticity simulations for trabecular ...
Flow-based Partitioning and Fast Global Placement in Chip Design
(2010-10-11)
VLSI placement is one of the major steps in the chip design process and an interesting subject of research in industry and academia. Recent chips consist of several millions of circuits connected by millions of nets. The ...
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 ...
On Multilevel Methods Based on Non-Nested Meshes
(2010-12-15)
This thesis is concerned with multilevel methods for the efficient solution of partial differential equations in the field of scientific computing. Further, emphasis is put on an extensive study of the information transfer ...
Derived categories and scalar extensions
(2010-11-11)
This thesis consists of three parts all of which deal with questions related to scalar extensions and derived categories.
In the first part we consider the question whether the conjugation of a complex projective K3 ...
In the first part we consider the question whether the conjugation of a complex projective K3 ...
Fermat Reals: Nilpotent Infinitesimals and Infinite Dimensional Spaces
(2010-01-20)
The main aim of the present work is to start a new theory of actual infinitesimals, called theory of Fermat reals. After the work of A. Robinson on nonstandard analysis (NSA), several theories of infinitesimals have been ...
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 ...
Jump processes with variable scaling parameters
(2010-01-06)
The leitmotif of this thesis is non-locality. More precisely, it deals with a class of pure jump processes with space-dependent jump measures and with related non-local integrodifferential operators. Such objects arise in ...
Facility Location and Clock Tree Synthesis
(2010-04-13)
The construction of clock trees and repeater trees are major challenges in chip design. Such trees distribute an electrical clock signal from a source to a set of sinks on a chip. On recent designs there can be millions ...
Sharp interface limit for the stochastic Allen-Cahn equation
(2010-03-17)
The behavior of the Allen-Cahn equation
∂ t u ε (x,t)= Δ u ε (x,t) - ε -2 F'(u ε (x,t))+ ξ t ε
with an additional stochastic ...
∂ t u ε (x,t)= Δ u ε (x,t) - ε -2 F'(u ε (x,t))+ ξ t ε
with an additional stochastic ...