Browsing Masters Degrees (Mathematics and Computer Science Education) by Title
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On decoupled quasilinearization methods for solving systems of nonlinear boundary value problems.
(20150610)In this dissertation, a comparative study is carried out on three spectral based numerical methods which are the spectral quasilinearization method (SQLM), the spectral relaxation method (SRM) and the spectral local ... 
On minimal degrees of faithful permutation representations of finite groups.
(2014)Abstract available in PDF file. 
On spectral torsion theories.
(2003)The purpose of this thesis is to investigate how "spect ralness" properties of a torsion theory T on R  Mod are reflected by properties of the ring R and its ring of quotients R,.. The development of "spectral" torsion ... 
On the existence of selfdual codes invariant under permutation groups.
(2014)Abstract available in PDF file. 
On the numerical solution of fractional partial differential equations : an investigation of spectral methods.
(2017)Abstract available in PDF file. 
An overview of hidden symmetries.
(2012)Approaches to nding solutions to di erential equations are usually ad hoc. One of the more successful methods is that of group theory, due to Sophus Lie. In the case of ordinary di erential equations, the subsequent ... 
Population dynamics based on the McKendrickvon Foerster model.
(1988)The current state of information concerning the classical model of deterministic, agedependent population dynamics  the McKendrick von Foerster equation  is overviewed. This model and the related Renewal equation are ... 
The preliminary group classification of the equation utt = f(x,ux)uxx + g(x, ux)
(1995)We study the class of partial differential equations Utt = f(x, ux)uxx + g(x, u x), with arbitrary functions f(x, u x) and g(x, u x), from the point of view of group classification. The principal Lie algebra of infinitesimal ... 
Pricing and hedging of defaultable claims in discontinuous market.
(2017)Credit risk has become one of the highestpro le risk facing participants in the nancial markets. In this dissertation, we study the pricing and hedging of defaultable claim in a discontinuous market. Here, we present ... 
The pricing theory of Asian options.
(2007)An Asian option is an example of exotic options. Its payoff depends on the average of the underlying asset prices. The average may be over the entire time period between initiation and expiration or may be over some period ... 
Queueing and communication networks governed by generalised LindleyLoynes equations.
(1993)Several decades after A.K. Erlang originated the theory of queues and queueing networks, D.V. Lindley added impetus to the development of this field by determining a recursive relation for waiting times. Part I of this ... 
Real options : duopoly dynamics with more than one source of randomness.
(2009)The valuation of real options has been of interest for some time. Recently, the model has been revised to include more than one source of randomness, e.g. Paxson and Pinto (2005). In this dissertation, we present a model ... 
Remediation of firstyear mathematics students' algebra difficulties.
(2009)The pass rate of firstyear university mathematics students at the University of KwaZuluNatal (Pietermaritzburg Campus) has been low for many years. One cause may be weak algebra skills. At the time of this study, revision ... 
Representation of regular formal languages.
(20140517)This dissertation presents three different approaches to representing Regular Formal languages, i.e., regular expressions, finite acceptors and regular grammars. We define how each method is used to represent the language, ... 
Residually small varieties and commutator theory.
(2000)Chapter 0 In this introductory chapter, certain notational and terminological conventions are established and a summary given of background results that are needed in subsequent chapters. Chapter 1 In this ... 
Semiperfect CFPF rings.
(1987)The WedderburnArtin Theorem (1927) characterised semisimple Artinian rings as finite direct products of matrix rings over division rings. In attempting to generalise Wedderburn's theorem, the natural starting point will ... 
Some aspects of semirings of functions.
(20140225)A well known fact of classical analysis is that the Stone Cech compacti cation of a Tychono space is achieved as the structure space of the commutative unitary ring of real valued continuous functions de ned on it. An ... 
Some models of relativistic radiating stars.
(2012)In this dissertation we study radiating stars in strong gravitational elds. We generate new classes of exact solutions to the Einstein eld equations and the boundary condition applicable to radiating relativistic stars. ... 
Spanning trees : eigenvalues, special numbers, and the treecover ratios, asymptotes and areas of graphs.
(2014)This dissertation deals with spanning trees associated with graphs. The number of spanning trees of a graph can be found by considering the eigenvalues of the Laplacian matrix associated with that graph. Special classes ... 
Spherically symmetric solutions in relativistic astrophysics.
(2002)In this thesis we study classes of static spherically symmetric spacetimes admitting a perfect fluid source, electromagnetic fields and anisotropic pressures. Our intention is to generate exact solutions that model the ...