Now showing items 98-117 of 131

  • On the method of lines for singularly perturbed partial differential equations 

    Mbroh, Nana Adjoah (University of the Western Cape, 2017)
    Many chemical and physical problems are mathematically described by partial differential equations (PDEs). These PDEs are often highly nonlinear and therefore have no closed form solutions. Thus, it is necessary to ...
  • On the numerical integration of singularly perturbed Volterra integro-differential equations 

    Iragi, Bakulikira (University of the Western Cape, 2017)
    Efficient numerical approaches for parameter dependent problems have been an inter- esting subject to numerical analysts and engineers over the past decades. This is due to the prominent role that these problems play in ...
  • On the primarity of some block intersection graphs 

    Vodah, Sunday (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 

    Muller, Grant Envar (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 ...
  • Pairings of Binary reflexive relational structures 

    Chishwashwa, Nyumbu (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 

    Chishwashwa, Nyumbu (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 

    Chishwashwa, Nyumbu (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 

    Sogoni, Msimelelo (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. 

    Brown, Alexander (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 

    Arotiba, Gbenga Joseph (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 

    Nkosi, Siboniso Confrence (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 

    Mudzimbabwe, Walter (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 

    Iragi, Minani (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 

    Dube, Mbakisi (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 

    Elago, David (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 

    Mergia, Woinshet D. (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 

    Shikongo, Albert (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 

    Pindza, Edson (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 

    Sheikh, T.O (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 

    Gantsho, Yolanda Vuyokazi (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 ...