Browsing Theses by Subject "Mathematical Sciences"
Now showing items 120 of 375

A categorical approach to continuous logic using MValgebras
(2021)Continuous logic was first defined in 2008 as a new logic designed to study metric spaces. Taking elements from several other logics, one of the core principles is the fact that the truth space is the interval [0,1]. ... 
A ChebyshevGalerkin method for inertial waves
(2016)We consider the incompressible viscous NavierStokes equations for a rotating fluid. In a tilted domain inertial waves converge to a waveattractor and influence the mean flow. This motivates the numerical simulation of ... 
A Discretization Procedure in Finite Horizon Optimal Stopping Tested on AR(1) Processes
(2017)A discretization procedure for finite horizon optimal stopping problems in discrete time is developed. This procedure was designed to work well for a large class of discrete time stochastic processes, for which it finds ... 
A Mathematical background to Cubic and Quartic Schilling Models
(2018)At the end of the twentieth century plaster models of algebraic surface were constructed by the company of Schilling. Many universities have some series of these models but a rigorous mathematical background to the theory ... 
A mathematical model of vegetationtopography feedbacks and their impact on the resilience of arid ecosystems
(2019)Vegetation in arid ecosystems is a wellknown example of selforganized spatial patterns. The pattern of vegetation bands interspersed with bare soil is explained as a result of positive feedback between infiltration and ... 
A metric in the space of spectral triples
(2014)In 1996, Alain Connes introduced the spectral triple, which encodes the information of a spin manifold in a way that allows for a noncommutative generalization. Before that, in 1981, Misha Gromov introduced a metric on the ... 
A partial solution to the similarity extension problem
(2022)The Similarity Extension Theorem roughly states that two matrices are similar over every localisation of a specific ring if and only if there is a finite integral extension of that ring where they are similar. Since the ... 
A retrieval of the drop size distribution from microwave link signal fluctuations
(2018)Mobile phone, and other communication networks transmit information using microwave propagation. Recent research has shown that these microwave links can be used to measure rainfall intensity by using the signal attenuation ... 
Accelerating the Mondriaan sparse matrix partitioning package
(2017)We consider a number of modifications to the Mondriaan package for sparse matrix partitioning, with as main goal to improve run times of the software. Two new algorithms are considered, one of which aims at reducing load ... 
Adaptive ddimensional finite difference methods
(2014)The finite difference method is a numerical approach to approximate the solution to initial boundary value problems. In my thesis I will endeavour to solve higher dimensional initial boundary value problems using a generalized ... 
Afsluitingen van banen van matrices
(2016)We bekijken banen van matrices en de afsluitingen van sommige banen. Voor de nilpotente matrices beschouwen we alle afsluitingen in het algemeen en bewijzen we de belangrijke stelling van GerstenhaberHesselink die hierop ... 
Aggregating rods: applications to angiogenesis
(2014)Angiogenesis, the formation of new blood vessels from splitting or sprouting of preexisting ones, is a fundamental mechanism for many processes in normal physiology (wound healing) as well as in disease (tumor growth and ... 
Algebraic Aspects of the Berezinian
(2012)Many concepts of linear algebra can be generalized to the Z/2graded setting, leading to linear superalgebra. Often, a formulation in terms of category theory facilitates this passage, and this e.g. provides an invariant ... 
Algebras over ∞operads
(2011)Operads are an efficient tool to study algebraic structures in homotopy theory. In recent years homotopytheoretic methods have been infused into other areas of mathematics, most notably algebraic geometry, through the use ...