Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Title
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Ein Gebietszerlegungsverfahren für parabolische Probleme im Zusammenhang mit FiniteVolumenDiskretisierung
(20071203)The first part of the thesis at hand deals with a finite volume method for timedependent advectiondiffusionreaction equations. By using dual control volumes based on a common ... 
Gene Prediction with a Hidden Markov Model
(20040211)Annotation of the large and rapidly increasing amount of genomic sequence data requires computational tools for finding genes in DNA sequences. This thesis presents a computational method ... 
Generalizations of Quandles to MultiLinkoids
(20240410)In this thesis, we define the fundamental quandle of knotoids and linkoids and prove that it is invariant under the under forbiddenmove and hence encodes only the information of the underclosure of the knotoid. We ... 
Generalized Multinomial CRR Option Pricing Model and its BlackScholes type limit
(20060120)We construct the generalized discretetime model of the underlying stock price process which serves as a better approximation to the stock price process than classical random walk. The ... 
Generalized SeibergWitten and the Nahm Transform
(20190111)Using the viewpoint of principal bundles on hyperk¨ ahler reductions, we recover the results of Gocho and Nakajima [GN92] and give insights into the role that the quater nions play. We define a framework for dimensional ... 
Generalized SeibergWitten equations and hyperKähler geometry
(20060918)In this thesis we study a certain generalization of the gaugetheoretical SeibergWitten equations over a source 4manifold X. The generalization involves a hyperKähler manifold M with ... 
Generic Methods for Adaptive Management of Service Level Agreements in Cloud Computing
(20151127)The adoption of cloud computing to build and deliver application services has been nothing less than phenomenal. Service oriented systems are being built using disparate sources composed of web services, replicable datastores, ... 
Generic Programming and Algebraic Multigrid for Stabilized Finite Element Methods
(20070228)Two topics are in the focus of this thesis. On the one hand, the generic construction of efficient datastructures for various purposes in numerical linear algebra, and on the other hand, ... 
Genomic Prediction for Quantitative Traits: Using Kernel Methods and Whole Genome Sequence Based Approaches
(20120928)Predicting genetic values is important in animal and plant breeding, personalized medicine and evolutionary biology. Traditionally, prediction is based on a best linear unbiased prediction (BLUP) approach within a linear ... 
Geometric and algebraic approaches to mixedinteger polynomial optimization using sos programming
(20171205)We consider geometric approaches that assist in the solution process of mixedinteger nonlinear programming (MINLP). Amongst others, we compute halfspaces, seminorm balls and ellipsoids that contain the relaxed feasible ... 
Geometric convergence of slice sampling
(20211019)In Bayesian statistics sampling w.r.t. a posterior distribution, which is given through a prior and a likelihood function, is a challenging task. The generation of exact samples is in general quite difficult, since the ... 
Geometric twisted Khomology, Tduality isomorphism and Tduality for circle actions
(20151116)We discuss topological Tduality and the associated geometric or topological objects in this thesis. Concretely, it consists of three parts. In this first part we prove two versions of geometric twisted Khomology are ... 
Geometry of universal torsors
(20061108)We study the geometry and arithmetic of Del Pezzo surfaces. Important examples are cubic surfaces, which were already investigated by Cayley, Schläfli, Steiner, Clebsch, and Cremona in the ... 
Das Gitterpunktproblem in der hyperbolischen Ebene
(20001219) 
GPU fast multipole method with lambdadynamics features
(20211111)A significant and computationally most demanding part of molecular dynamics simulations is the calculation of longrange electrostatic interactions. Such interactions can be evaluated directly by the naïve pairwise summation ... 
Graph based fusion of highdimensional gene and microRNA expression data
(20130125)One of the main goals in cancer studies including highthroughput microRNA (miRNA) and mRNA data is to find and assess prognostic signatures capable of predicting clinical outcome. Both mRNA and miRNA expression changes ... 
Graph Partitioning for the Finite Element Method: Reducing Communication Volume with the Directed Sorted Heavy Edge Matching
(20190507)A technique called the Finite Element Method is primarily utilized to numerically solve Partial Differential Equations, most commonly by the use iterative methods, over a compact domain. The partial differential equations ... 
Graphbased Object Understanding
(20210618)Computer Vision algorithms become increasingly prevalent in our everyday lives. Especially recognition systems are often employed to automatize certain tasks (i.e. quality control). In StateoftheArt approaches global ... 
GromovWasserstein Distances and their Lower Bounds
(20221125)In various applications in biochemistry, computer vision and machine learning, it is of great interest to compare general objects in a pose invariant manner. Recently, the following approach has received increased attention: ... 
Groupoids in categories with partial covers
(20190207)Meyer and Zhu survey the general theory of groupoids, groupoid actions, groupoid principal bundles, and various kinds of morphisms between groupoids in the framework of categories with pretopology. We modify the categorical ...