Browsing Philosophiae Doctor  PhD (Mathematics) by Title
Now showing items 2641 of 41

Measurements of edge uncolourability in cubic graphs
(University of the Western Cape, 2020)The history of the pursuit of uncolourable cubic graphs dates back more than a century. This pursuit has evolved from the slow discovery of individual uncolourable cubic graphs such as the famous Petersen graph and the ... 
Mesh Free Methods for Differential Models In Financial Mathematics
(University of the Western Cape, 2011)Many problems in financial world are being modeled by means of differential equation. These problems are time dependent, highly nonlinear, stochastic and heavily depend on the previous history of time. A variety of financial ... 
Mesh free methods for differential models in financial mathematics
(University of the Western Cape, 2011)Many problems in financial world are being modeled by means of differential equation. These problems are time dependent, highly nonlinear, stochastic and heavily depend on the previous history of time. A variety of financial ... 
Numerical singular perturbation approaches based on spline approximation methods for solving problems in computational finance
(University of the Western Cape, 2011)Options are a special type of derivative securities because their values are derived from the value of some underlying security. Most options can be grouped into either of the two categories: European options which can be ... 
Numerical singular perturbation approaches based on spline approximation methods for solving problems in computational finance
(University of the Western Cape, 2011)Options are a special type of derivative securities because their values are derived from the value of some underlying security. Most options can be grouped into either of the two categories: European options which can ... 
On the primarity of some block intersection graphs
(University of the Western Cape, 2018)A tactical con guration consists of a nite set V of points, a nite set B of blocks and an incidence relation between them, so that all blocks are incident with the same number k points, and all points are incident with ... 
Optimal asset allocation and capital adequacy management strategies for Basel III compliant banks
(University of the Western Cape, 2015)In this thesis we study a range of related commercial banking problems in discrete and continuous time settings. The ﬁrst problem is about a capital allocation strategy that optimizes the expected future value of a commercial ... 
Prestasiemotivering by studente aan die Universiteit van WesKaapland.
(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 socioeconomic ... 
Quasiuniform 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 to simulate slowfast dynamical systems governed by predatorprey 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 (slowfast) predatorprey 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 geneenvironment 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 ... 
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 subSaharan ... 
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 wellknown theory of syntopogenous ´ structures on a set. His intention was to create a comprehensive framework that simultaneously encompasses the study of ...