Die vorliegende Arbeit diskutiert die Modellierung und die numerische Simulation von Phasenübergängen bei der Ostwald-Reifung entmischter Metalllegierungen und in magnetischen Formgedächtnis-Materialien. Dabei werden die ...

This dissertation consists of two parts. In the first part, the subject of hypothesis testing is addressed. Here, non-standard formulations of the null hypothesis are discussed, e.g., non-stationarity under the null, and ...

Nonlinear right preconditioned globalization strategies for the solution of nonlinear programming problems of the following kind $u \in \mathcal B \subset \mathbb R^n: J(u) = \min!$ where $\mathcal B$ is a convex set of ...

When two stable model categories C and D are Quillen equivalent, their homotopy categories Ho(C) and Ho(D) are equivalent as triangulated categories. But is the converse also true?
For the stable homotopy category ...

The formal Hermitean 1-matrix model is shown to be equivalent to an effective field theory. The correlation functions and the free energy of the matrix model correspond directly to the correlation functions and the free ...

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 ...

We present a direct discretization of the electronic Schrödinger equation. It is based on one-dimensional Meyer wavelets from which we build an anisotropic multiresolution analysis for general particle spaces by a tensor ...

We study the phenomenon of chirality in the context of manifolds. An orientable manifold is called amphicheiral if it admits an orientation-reversing self-map and chiral if it does not. In addition to being continuous and ...

In the first part of this thesis the homotopy theory of operads, algebras over operads and modules over operad algebras is developed in the context of cofibrantly generated symmetric monoidal model categories. It is shown ...

In der Arbeit werden Lösungsverfahren für partielle Differential- gleichungen vorgestellt, die auf Multiskalen-Ansatzfunktionen (Wavelets) basieren. Zur adaptiven Approximation der numerischen Lösung werden anisotrope ...