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Theory and Practice of VLSI Placement
(2006)
Placement is a crucial step in the design process of VLSI chips as it has a strong influence on the most important optimization goals, e.g., die size, routability, and cycle time. State-of-the-art logic chips consist of ...
Fast Optimised Wavelet Methods for Control Problems Constrained by Elliptic PDEs
(2005)
In this thesis, a wavelet method for the numerical solution of an optimal control problem constrained by a linear elliptic partial differential equation is developed. The particular challenge here lies in considering and ...
Géométrie tt* et applications pluriharmoniques
(2006)
Dans cette thèse nous introduisons la notion de fibré tt* (E,D,S), de fibré tt* métrique (E,D,S,g) et de fibré tt* symplectique (E,D,S,ω) sur un fibré vectoriel E au-dessus d'une variété complexe, dans le langage de la ...
Ein Raum-Zeit Dünngitterverfahren zur Diskretisierung parabolischer Differentialgleichungen
(2006)
In der vorliegenden Arbeit werden effiziente adaptive Diskretisierungsverfahren zur numerischen Lösung parabolischer Probleme vorgestellt. Hierbei gelingt es erstmalig, aufbauend auf speziellen diskreten Funktionenräumen, ...
Quantum Statistical Mechanics of Shimura Varieties
(2006)
The Bost-Connes and Connes-Marcolli C*-dynamical systems are seen to be associated to the Shimura varieties for GL(1) and GL(2), respectively. In this thesis we carry out the construction of Bost-Connes-Marcolli systems ...
Universal Toda brackets of ring spectra
(2006)
We construct and examine the universal Toda bracket of a highly structured ring spectrum R. This invariant of R is a cohomology class in the Mac Lane cohomology of the graded ring of homotopy groups of R which carries ...
Gelfand pairs
(2005)
Let K be a compact subgroup of a real Lie group G. The homogeneous space G/K is called commutative or the pair (G, K) is called a Gelfand pair if the algebra of G-invariant differential operators on G/K is ...
Harmonic Maps into Trees and Graphs: Analytical and Numerical Aspects
(2005)
The main topic of this work is the definition and investigation of a nonlinear energy for maps with values in trees and graphs and the analysis of the corresponding nonlinear Dirichlet problem. The nonlinear energy is ...
Gluing Spaces and Analysis
(2005)
In the first part of this work we study the gluing of metric measure spaces. The gluing is defined by a bilipschitz map which identifies the gluing sets. The new metric is given by the minimal length of all possible paths ...
Upscaling from Atomistic Models to Higher Order Gradient Continuum Models for Crystalline Solids
(2004)
In this work a new upscaling scheme for the derivation of a continuum mechanical model from an atomistic model for crystalline solids is developed. The scheme, called the inner expansion technique, is based on a Taylor ...