Mathematisch-Naturwissenschaftliche Fakultät: Auflistung Mathematisch-Naturwissenschaftliche Fakultät nach Klassifikation (DDC) "ddc:510"
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Adaptive numerical simulation of contact problems: Resolving local effects at the contact boundary in space and time
Walloth, Mirjam (2012-10-24)This thesis is concerned with the space discretization of static and the space and time discretization of dynamic contact problems. In particular, we derive a new efficient and reliable residual-type a posteriori error ... -
Adaptive Scattered Data Fitting with Tensor Product Spline-Wavelets
Castaño Díez, Daniel (2005)The core of the work we present here is an algorithm that constructs a least squares approximation to a given set of unorganized points. The approximation is expressed as a linear combination of particular B-spline wavelets. ... -
Affine Grassmannians and Geometric Satake Equivalences
Richarz, Timo (2014-02-18)The work deals with the geometric Satake equivalence. A new proof is given in the case of a split connected reductive group. Further the work extends the ramified geometric Satake equivalence from tamely ramified groups ... -
Affine nilTemperley-Lieb Algebras and Generalized Weyl Algebras: Combinatorics and Representation Theory
Meinel, Joanna (2016-09-13)This thesis lies at the crossroads of representation theory and combinatorics. It is subdivided into two parts, each of which is devoted to a particular combinatorial technique in the study of weight modules.
In the ... -
Algebraic Aspects of Noncommutative Tori: the Riemann-Hilbert Correspondence
Mahanta, Snigdhayan (2007)In this thesis we have tried to figure out some algebraic aspects of noncommutative tori, aiming at generalizing them to arbitrary noncommutative spaces. In the second section all relevant definitions, some examples and ... -
Algebraic Multigrid (AMG) for Saddle Point Systems
Metsch, Bram (2013-10-11)We introduce an algebraic multigrid method for the solution of matrices with saddle point structure. Such matrices e.g. arise after discretization of a second order partial differential equation (PDE) subject to linear ... -
Algebraic Multigrid for Eigenproblems in Industrial Applications of Big Data and Engineering
Gries, Silvia (2023-12-18)More and more data are generated and gathered by computational simulations, network evaluations, and sensor usage in industrial applications and many other methods. To make the most out of the collected data, these should ... -
Algebraic Multigrid for Meshfree Methods
Nick, Fabian Pascal (2020-02-11)This thesis deals with the development of a new Algebraic Multigrid method (AMG) for the solution of linear systems arising from Generalized Finite Difference Methods (GFDM). In particular, we consider the Finite Pointset ... -
Algorithms for Cell Layout
Cremer, Pascal (2019-04-30)Cell layout is a critical step in the design process of computer chips. A cell is a logic function or storage element implemented in CMOS technology by transistors connected with wires. As each cell is used many times on ... -
Algorithms for Circuit Sizing in VLSI Design
Schorr, Ulrike Elisabeth (2016-05-10)One of the key problems in the physical design of computer chips, also known as integrated circuits, consists of choosing a physical layout for the logic gates and memory circuits (registers) on the chip. The layouts ...Alternative Finestructural and Computational Approaches to Constructibility
Carl, Merlin (2011-07-14)We consider attempts to simplify finestructural arguments concerning inner models of ZFC, in particular L; in addition, we exhibit different aspects of the computational strength of Infinite Time Register Machines.Analysis of Biochemical Reaction Networks using Tropical and Polyhedral Geometry Methods
Samal, Satya Swarup (2016-12-21)The field of systems biology makes an attempt to realise various biological functions and processes as the emergent properties of the underlying biochemical network model. The area of computational systems biology deals ...Analysis of Elliptic and Parabolic Partial Differential Equations Based on Carleson Measures
Yomgne Diebou, Gael (2022-09-02)This thesis proposes a new technique to analyze nonlinear elliptic and parabolic partial differential equations by exploiting the knowledge generated by the associated Carleson measure characterization of admissible data ...Analysis of martensitic microstructures in shape-memory-alloys: A low volume-fraction limit
Diermeier, Johannes (2016-11-28)In this work, we study the limiting behavior of a variational model which arises in the analysis of microstructures at austenite-martensite interfaces in shape-memory alloys. We consider an energy containing an elastic ...Analysis of the MBO scheme: from materials science to data clustering
Lelmi, Jona (2023-06-15)The Merriman, Bence, and Osher (MBO) scheme -- also known as thresholding scheme -- is a numerical method originally introduced to approximate the evolution by mean curvature flow (MCF). The algorithm produces a time ...Analytic dilation on complete manifolds with corners of codimension 2
Cano Garcia, Leonardo Arturo (2011-01-21)The analytic dilation method was originally used in the context of many body Schrödinger operators. In this thesis we adapt it to the context of compatible Laplacians on complete manifolds with corners of codimension two. ...The Analytic Torsion on Manifolds with Boundary and Conical Singularities
Vertman, Boris (2008)The analytic torsion was introduced by D.B. Ray and I.M. Singer as an analytic counterpart to the combinatorial Reidemeister torsion. In this thesis we are concerned with analytic torsion of manifolds with boundary and ...
Analytische und p−adische Aspekte von klassischen und Mock-Modulformen
Fricke, Karl-Heinz (2013-10-17)Ausgangsfrage dieser Doktorarbeit war die Gleichverteilung von geschlossenen Geodaetischen im Fundamentalbereich der Modulgruppe in der hyperbolischen Geometrie. Das fuehrt auf das Studium der Eigenfunktionen des ...André-Quillen Homology of Global Power Functors and Ultra-Commutative Ring Spectra
Stahlhauer, Michael (2023-01-23)In this dissertation, we study multiplications in globally equivariant stable homotopy theory. Concretely, this means studying ultra-commutative ring spectra, which encode a rich multiplicative structure on a family of ...Anisotrope Verfahren in der Bildverarbeitung: Gradientenflüsse, Level-Sets und Narrow Bands: Gradientenflüsse, Level-Sets und Narrow Bands
Nemitz, Oliver (2008)Isotrope Glättungs- und Restaurierungsverfahren neigen dazu, Isoflächen abzurunden. Für beispielsweise ecken- oder kantenerhaltendes Glätten oder Restaurieren sind sie nicht geeignet. Stattdessen können anisotrope ...