E-Dissertationen: Search
Now showing items 11-20 of 24
Relative singularity categories
(2013-12-05)
In this thesis, we study a new class of triangulated categories associated with singularities of algebraic varieties. For Gorenstein rings, triangulated singularity categories were introduced by Buchweitz. In 2006 Orlov ...
Global Existence Without Decay
(2013-12-05)
We treat some problems related to the small data global existence theory of some dispersive PDEs. That is, we try to abstractly construct solutions which exist globally in time and have “good” properties, under a smallness ...
Modular Functions and Special Cycles
(2013-11-27)
In this thesis we study algebraic cycles on Shimura varieties of orthogonal type. Such varieties are a higher dimensional generalization of modular curves and their important feature is that they have natural families of ......
Uniqueness and Stability near Stationary Solutions for the Thin-Film Equation in Multiple Space Dimensions with Small Initial Lipschitz Perturbations
(2013-12-05)
In any number of space variables, we study the Cauchy problem related to the thin-film equation in the simplest case of a linearly degenerate mobility. This equation, derived from a lubrication approximation, also models ...
Spektraläquivalente Vorkonditionierung lokaler Operatoren mittels H-Matrizen und das Landau-Lifschitz-Modell als Anwendung
(2013-03-25)
Diese Arbeit beschäftigt sich mit der optimalen Vorkonditionierung von Gleichungssystemen resultierend aus der finite Elemente Diskretisierung von elliptischen Differentialgleichung zweiter Ordnung. Anschließend wird ein ...
A Toolbox to Compute the Cohomology of Arithmetic Groups in Case of the Group Sp2(Z)
(2013-03-26)
It is the aim of this thesis to present a toolbox of methods which can be used to compute the group cohomology Hq(Sp2(Z), Mλ) of the Siegel modular group Sp2(Z) ...
Variational Discretization of Higher Order Geometric Gradient Flows Based on Phase Field Models
(2013-03-21)
In this thesis a phase field based nested variational time discretization for Willmore flow is presented.
The basic idea of our model is to approximate the mean curvature by a time-discrete, approximate speed of the ...
The basic idea of our model is to approximate the mean curvature by a time-discrete, approximate speed of the ...
Extensibility of Association Schemes and GRH-Based Deterministic Polynomial Factoring
(2013-03-21)
The subject of the present work is the application of the theory of combinatorial schemes to problems in computational algebra. The principal notions of combinatorial schemes which are studied in this work are association ...
Ricci curvature and gradient flows of the entropy for jump processes
(2013-04-03)
In the first part of this thesis, we present a new notion of Ricci curvature that applies to finite Markov chains. This notion relies on geodesic convexity of the entropy and is analogous to the one introduced by Lott--Villani ...
Finite Volume Methods for Advection Diffusion on Moving Interfaces and Application on Surfactant Driven Thin Film Flow
(2013-01-04)
The thesis is divided into two parts. First, we present two finite volumes schemes for the discretization of convection-diffusion-reaction problems on moving surfaces. The first scheme extends the two point flux approximation ...