Department of Mathematical Sciences

Recent Submissions

  • Modelling the transmission of Buruli ulcer in fluctuating environments 

    Assan, Belthasara (Stellenbosch : Stellenbosch University, 2015-12)

  • On commutativity and lie nilpoten y in matrix algebras 

    Sehoana, Mahlare Gerald (Stellenbosch : Stellenbosch University, 2015-12)
    ENGLISH ABSTRACT : In this thesis we first discuss the proof by Mirzakhani [9] of Schur's Theorem which gives the maximum number of linearly independent matrices in a commutative algebra of n×n matrices over a field F. An ...

  • Spectral radii of matrices associated with graphs 

    Dadedzi, Kenneth (Stellenbosch : Stellenbosch University, 2015-12)

  • Digital signatures 

    Swanepoel, Jacques Philip (Stellenbosch : Stellenbosch University, 2015-12)
    AFRIKAANSE OPSOMMING : In hierdie verhandeling stel ons 'n nuwe strategie vir outomatiese handtekening-verifikasie voor. Die voorgestelde raamwerk gebruik 'n skrywer-onafhanklike benadering tot handtekening- modellering ...

  • Calibration and Model Risk in the Pricing of Exotic Options Under Pure-Jump Lévy Dynamics 

    Mboussa Anga, Gael (Stellenbosch : Stellenbosch UniversityStellenbosch University, 2015-12)
    AFRIKAANSE OPSOMMING : Die groeiende belangstelling in kalibrering en modelrisiko is ’n redelik resente ontwikkeling in finansiële wiskunde. Hierdie proefskrif fokusseer op hierdie sake, veral in verband met die prysbepaling ...

  • Analytic methods in combinatorial number theory 

    Baker, Liam Bradwin (Stellenbosch : Stellenbosch University, 2015-12)
    ENGLISH ABSTRACT : Two applications of analytic techniques to combinatorial problems with number-theoretic flavours are shown. The first is an application of the real saddle point method to derive second-order asymptotic ...

  • On the constant reductions of valued function fields and their automorphism groups 

    Razafindramahatsiaro, Tovondrainy Christalin (Stellenbosch : Stellenbosch University, 2015-11-20)
    ENGLISH ABSTRACT : The aim of the project is to investigate properties of the automorphism group of a function field in one variable over an algebraically closed field in relation to its reductions with respect to special ...

  • Modelling Drug Abuse and Drug-related Crime: A Systems Approach 

    Coetzee, Lezanie (Stellenbosch : Stellenbosch University, 2015-12)
    ENGLISH ABSTRACT : In this study we look at the syndemic of substance abuse and drug-related crime in the Western Cape province of South Africa. The intent of this study is to provoke critical thinking about the possibilities ...

  • Modelling the role of HIV and its treatment in non-Hodgkin lymphoma growth dynamics 

    Aogo, Rosemary Akinyi (Stellenbosch : Stellenbosch University, 2015-12)

  • Modelling the potential role of control strategies on Ebola virus disease dynamics 

    Njankou, Sylvie Diane Djiomba (Stellenbosch : Stellenbosch University, 2015-12)
    ENGLISH ABSTRACT : The most deadly Ebola disease epidemic ever was still ongoing as of June 2015 in West Africa. It started in Guinea, where the first cases were recorded in March 2014. Control strategies, aiming at ...

  • Modelling in- and out-patient rehabilitation for substance abuse in dynamic environments 

    Gatyeni, Siphokazi Princess (2015-12)
    ENGLISH ABSTRACT : Substance abuse is a major problem globally with immeasurable consequences to the health of users. Rehabilitation is one of the strategies that can help to fight against substance abuse. It is divided ...

  • Unlocking patterns of nature - the marriage of mathematics and ecology 

    Hui, Cang (Stellenbosch : Stellenbosch University, 2015-03)
    Professor Cang Hui was born in the ancient capital of China, Xi’an, where the Terracotta Warriors were unearthed. In 1994, he went to Xi’an Jiaotong University, a C9 League, and obtained his BSc in applied mathematics ...

  • On the effciency of code-based steganography 

    Ralaivaosaona, Tanjona Fiononana (Stellenbosch : Stellenbosch University, 2015-03)
    ENGLISH ABSTRACT: Steganography is the art of hiding information inside a data host called the cover. The amount of distortion caused by that embedding can influence the security of the steganographic system. By secrecy ...

  • Quantitative Risk Management and Pricing for Equity Based Insurance Guarantees 

    Leboho, Nakedi Wilson (Stellenbosch : Stellenbosch University, 2015-03)
    ENGLISH ABSTRACT : Equity-based insurance guarantees also known as unit-linked annuities are annuities with embedded exotic, long-term and path-dependent options which can be categorised into variable and equity indexed ...

  • Building Interest Rate Curves and SABR Model Calibration 

    Mbongo Nkounga, Jeffrey Ted Johnattan (Stellenbosch : Stellenbosch University, 2015-03)
    ENGLISH ABSTRACT : In this thesis, we first review the traditional pre-credit crunch approach that considers a single curve to consistently price all instruments. We review the theoretical pricing framework and introduce ...

  • The Levy-LIBOR model with default risk 

    Walljee, Raabia (Stellenbosch : Stellenbosch University, 2015-03)
    ENGLISH ABSTRACT : In recent years, the use of Lévy processes as a modelling tool has come to be viewed more favourably than the use of the classical Brownian motion setup. The reason for this is that these processes provide ...

  • Combinatorics of oriented trees and tree-like structures 

    Okoth, Isaac Owino (Stellenbosch : Stellenbosch University, 2015-03)
    ENGLISH ABSTRACT : In this thesis, a number of combinatorial objects are enumerated. Du and Yin as well as Shin and Zeng (by a different approach) proved an elegant formula for the number of labelled trees with respect ...

  • Heath–Jarrow–Morton models with jumps 

    Alfeus, Mesias (Stellenbosch : Stellenbosch University, 2015-03)
    ENGLISH ABSTRACT : The standard-Heath–Jarrow–Morton (HJM) framework is well-known for its application to pricing and hedging interest rate derivatives. This study implemented the extended HJM framework introduced by ...

  • Bifibrational duality in non-abelian algebra and the theory of databases 

    Weighill, Thomas (Stellenbosch : Stellenbosch University, 2014-12)
    ENGLISH ABSTRACT: In this thesis we develop a self-dual categorical approach to some topics in non-abelian algebra, which is based on replacing the framework of a category with that of a category equipped with a functor ...

  • A no-arbitrage macro finance approach to the term structure of interest rates 

    Thafeni, Phumza (Stellenbosch : Stellenbosch University, 2015-03)
    ENGLISH ABSTRACT: This work analysis the main macro-finance models of the term structure of interest rates that determines the joint dynamics of the term structure and the macroeconomic fundamentals under no-arbitrage ...

  • Analysing ranking algorithms and publication trends on scholarly citation networks 

    Dunaiski, Marcel Paul (Stellenbosch : Stellenbosch University, 2014-12)
    ENGLISH ABSTRACT: Citation analysis is an important tool in the academic community. It can aid universities, funding bodies, and individual researchers to evaluate scientific work and direct resources appropriately. With ...

  • Modelling the dynamics of alcohol and methamphetamine co-abuse in the Western Cape Province of South Africa 

    Orwa, Titus Okello (Stellenbosch : Stellenbosch University, 2014-12)
    ENGLISH ABSTRACT: Clinical results have indicated that abuse of multiple drugs/substances has devastating health and social consequences. The combined abuse of alcohol and the highly addictive methamphetamine has worsened ...

  • The risk parity approach to asset allocation 

    Galane, Lesiba Charles (Stellenbosch : Stellenbosch University, 2014-12)
    ENGLISH ABSTRACT: We consider the problem of portfolio's asset allocation characterised by risk and return. Prior to the 2007-2008 financial crisis, this important problem was tackled using mainly the Markowitz mean-variance ...

  • Modelling water-borne infections : the impact of hygiene, metapopulation movements and the biological control of cholera 

    Njagarah, Hatson John Boscoh (Stellenbosch : Stellenbosch University, 2014-12)
    ENGLISH ABSTRACT: Water-borne infections have been a menace in many countries around the globe, claiming millions of lives. Cholera in particular has spread to all continents and now on its seventh epidemic. Although ...

  • Virtual world accessibility: a multitool approach 

    Kruger, Rynhardt Pieter (Stellenbosch : Stellenbosch University, 2014-12)
    ENGLISH ABSTRACT: Computer-based virtual worlds are increasingly used for activities which previously required physical environments. However, in its mainstream form, such a virtual world provides output on a graphical ...

  • Enhancing mobile camera pose estimation through the inclusion of sensors 

    Hughes, Lloyd Haydn (Stellenbosch : Stellenbosch University, 2014-12)
    ENGLISH ABSTRACT: Monocular structure from motion (SfM) is a widely researched problem, however many of the existing approaches prove to be too computationally expensive for use on mobile devices. In this thesis we ...

  • Properties of greedy trees 

    Razanajatovo Misanantenaina, Valisoa (Stellenbosch : Stellenbosch University, 2014-12)
    ENGLISH ABSTRACT: A greedy tree is constructed from a given degree sequence using a simple greedy algorithm that assigns the highest degree to the root, the second, the third, . . . , -highest degree to the root’s ...

  • Arithmetic of carlitz polynomials 

    Bamunoba, Alex Samuel (Stellenbosch : Stellenbosch University, 2014-12)
    ENGLISH ABSTRACT: See pdf for abstract

  • Small-world network models and their average path length 

    Taha, Samah M. Osman (Stellenbosch : Stellenbosch University, 2014-12)
    ENGLISH ABSTRACT: Socially-based networks are of particular interest amongst the variety of communication networks arising in reality. They are distinguished by having small average path length and high clustering ...

  • Classification of subspaces 

    Herrmann, Christian; Moresi, Remo; Schuppli, Reto; Wild, Marcel (Mathematisches Institut der Universitat Bayreuth, 1998)
    1.1 Statement of the problems and the lattice method Let E and E' be non-degenerate €-hermitean spaces over the same data (k, €, -) (see 1.1.1) with linear subspaces F and F', respectively. The.pairs (E, F) and (E', F') ...

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