Browsing Department of Mathematics by Title
Now showing items 102-121 of 131
-
Pairings of Binary reflexive relational structures
(University of the Western Cape, 2008)The main purpose of this thesis is to study the interplay between relational structures and topology , and to portray pairings in terms of some finite poset models and order preserving maps. We show the interrelations ... -
Pairings of binary reflexive relational structures
(University of the Western Cape, 2007)The main purpose of this thesis is to study the interplay between relational structures and topology, and to portray pairings in terms of some finite poset models and order preserving maps. We show the interrelations between ... -
Pairings of binary reflexive relational structures
(University of the Western Cape, 2007)The main purpose of this thesis is to study the interplay between relational structures and topology, and to portray pairings in terms of some finite poset models and order preserving maps. We show the interrelations between ... -
The paradox of enrichment in predator-prey systems
(University of Western Cape, 2020)In principle, an enrichment of resources in predator-prey systems show prompts destabilisation of a framework, accordingly, falling trophic communication, a phenomenon known to as the \Paradox of Enrichment" [54]. After ... -
Prestasiemotivering by studente aan die Universiteit van Wes-Kaapland.
(University of the Western Cape, 1991)The major objective of this study was to investigate the nature of the relationship between achievement motivation, autonomous and social achievement values, study habits and attitudes, locus of control and socio-economic ... -
Pricing American style employee stock options having GARCH effects
(University of the Western Cape, 2010)We investigate some simulation-based approaches for the valuing of the employee stock options. The mathematical models that deal with valuation of such options include the work of Jennergren and Naeslund [L.P Jennergren ... -
Pricing European options : a model-free approach
(University of the Western Cape, 2016)This paper focuses on the newly revived interest to model free approach in finance. Instead of postulating some probability measure it emerges in a form of an outer-measure. We review the behavior of a market stock price ... -
Pricing methods for Asian options
(2010)We present various methods of pricing Asian options. The methods include Monte Carlo simulations designed using control and antithetic variates, numerical solution of partial differential equation and using lower bounds.The ... -
Quasi-uniform and syntopogenous structures on categories
(University of the Western Cape, 2019)In a category C with a proper (E; M)-factorization system for morphisms, we further investigate categorical topogenous structures and demonstrate their prominent role played in providing a uni ed approach to the theory ... -
Reliable numerical simulations of problems for pricing real estate derivatives
(University of the Western Cape, 2022)The globalisation of nancial systems has presented new challenges to investing in real estate assets. For example, any crisis occurring in one real estate market will have an adverse e ect on other markets regardless ... -
Robust computational methods for two-parameter singular perturbation problems
(University of the Western Cape, 2010)This thesis is concerned with singularly perturbed two-parameter problems. We study a tted nite difference method as applied on two different meshes namely a piecewise mesh (of Shishkin type) and a graded mesh (of Bakhvalov ... -
Robust computational methods to simulate slow-fast dynamical systems governed by predator-prey models
(University of the Western Cape, 2019)Numerical approximations of multiscale problems of important applications in ecology are investigated. One of the class of models considered in this work are singularly perturbed (slow-fast) predator-prey systems which ... -
Robust numerical methods to solve differential equations arising in cancer modeling
(University of the Western Cape, 2020)Cancer is a complex disease that involves a sequence of gene-environment interactions in a progressive process that cannot occur without dysfunction in multiple systems. From a mathematical point of view, the sequence ... -
Robust Spectral Methods for Solving Option Pricing Problems
(University of the Western Cape, 2012)Robust Spectral Methods for Solving Option Pricing Problems by Edson Pindza PhD thesis, Department of Mathematics and Applied Mathematics, Faculty of Natural Sciences, University of the Western Cape Ever since the ... -
The role of visualization in the teaching and learning of multivariate calculus and systems of ordinary differential equations
(University of the Western Cape, 2015)The purpose of this study was to investigate the role of visualization in the conceptualisation and solution of problems in multivariate calculus and dynamical systems. The theoretical basis, and the visual and analytical ... -
Singular integral equations and realization: A survey of the state space method
(University of the Western Cape, 1996)Different methods for solving singular integral equations exist. One of the most recent methods is the so-called state space method. This method is based on the fact that a rational matrix function VV(^) which is analytic ... -
Skills, training and support for carers in HIV/AIDS community home-based care: a case study of carers in Chikankata, Zambia
(University of the Western Cape, 2005)The high prevalence of HIV/AIDS in Zambia has led to the development of innovative ways of coping with sickness related to this infection. HIV/AIDS home-based care is one such innovation designed in Chikankata Hospital in ... -
Stochastic modeling of an HIV/AIDS epidemic with treatment
(University of the Western Cape, 2019)The HIV/AIDS epidemic continues to be among the most devastating diseases in human history despite the new scientific advances and serious public health interventions. The greatest burden of HIV/AIDS is still in sub-Saharan ... -
Stochastic modelling in bank management and optimization of bank asset allocation
(2009)The Basel Committee published its proposals for a revised capital adequacy framework(the Basel II Capital Accord) in June 2006. One of the main objectives of this framework is to improve the incentives for state-of-the-art ... -
Strong simplicity of groups and vertex - transitive graphs
(University of the Western Cape, 2010)In the course of exploring various symmetries of vertex-transitive graphs, we introduce the concept of quasi-normal subgroups in groups. This is done since the symmetries of vertex-transitive graphs are intimately linked ...
