Browsing Department of Mathematics by Title
Now showing items 111-130 of 131
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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 ... -
A survey of the computer enhanced services of the Outreach Project of UWC developed for grade 12 mathematic learners and a critical appraisal of the MICSEC2000 program.
(University of the Western Cape, 2005)The Outreach Project of the University of the Western Cape has since 1982 through various computer supported services been assisting grade 12 mathematics learners and educators at previously disadvantaged Western Cape high ... -
Test of the overreaction hypothesis in the South African stock market
(University of the Western Cape, 2014)This research undertakes to investigate both long-term and short-term investor overreaction on the JSE Limited (JSE) over the period from 1 January 2002 to 31 December 2009. The period covers the restructuring and reform ... -
Throughput of UWC students who did at least one semester of third-year Statistics
(University of the Western Cape, 2005)The study explores the completion rates (the number of years a student takes to complete a degree) of graduates at the University of the Western Cape (UWC) in South Africa. The graduates in the study all did at least one ... -
Topogenous orders and their applications on lattices
(University of the Western Cape, 2024)In his influential book, [Cs´a63] A. Cs´asz´ar developed the well-known theory of syntopogenous ´ structures on a set. His intention was to create a comprehensive framework that simultaneously encompasses the study of ... -
Topogenous Structures on Categories
(University of the Western Cape, 2016)Although the interior operators correspond to a special class of neighbourhood operators, the closure operators are not nicely related to the latter. We introduce and study the notion of topogenous orders on a category ... -
Topogenous structures on categories
(University of the Western Cape, 2016)Although the interior operators correspond to a special class of neighbourhood operators, the closure operators are not nicely related to the latter. We introduce and study the notion of topogenous orders on a category ... -
Transport modelling in the Cape Town Metropolitan Area
(University of the Western Cape, 2005)The use of MEPLAN by the Metropolitan Transport Planning Branch of the Cape Town City Council since 1984 was not successful due to apartheid anomalies. EMME/2 was then introduced in 1991 in replacement of MEPLAN. In this ... -
Ultrafilters and Compactification
(UWC, 2020)In this thesis, we construct the ultrafilter space of a topological space using ultrafilters as points, study some of its properties and describe a method of generating compactifications through the ultrafilter space. As ... -
Valuation of options for hedging against exchange rate exposure
(University of the Western Cape, 2019)The risk associated with currency exposure is one of the main sources of risk in terms of internationally diversi ed portfolios. Controlling the risk is important for improving the performance of international investments. ...