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Fischer-clifford matrices and character tables of inertia groups of maximal subgroups of finite simple groups of extension type
(University of the Western Cape, 2011)
The aim of this dissertation is to calculate character tables of group extensions. There are several well–developed methods for calculating the character tables of group extensions. In this dissertation we study the method ...
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 ...
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 ...
Analysis of errors in derivatives of trigonometric functions: a case study in an extended curriculum programme
(University of the Western Cape, 2012)
A mathematical model for studying the impact of climate variability on malaria epidemics in South Africa
(University of the Western Cape, 2017)
Malaria is most prevalent in tropical climates, where there are sufficient rainfall
for mosquitoes to breed and conducive temperatures for both the mosquito and
protozoa to live. A slight change in temperature can ...
Efficient numerical methods based on integral transforms to solve option pricing problems
(University of the Western Cape, 2012)
In this thesis, we design and implement a class of numerical methods (based on integral transforms) to solve PDEs for pricing a variety of financial derivatives. Our approach is based on spectral discretization of the ...
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 ...
Efficient numerical methods to solve some reaction-diffusion problems arising in biology
(2013)
In this thesis, we solve some time-dependent partial differential equations, and systems of such equations, that governs reaction-diffusion models in biology. we design and implement some novel exponential time differencing ...
Codes, graphs and designs related to iterated line graphs of complete graphs
(University of the Western Cape, 2011)
In this thesis, we describe linear codes over prime fields obtained from incidence designs of iterated line graphs of complete graphs Li(Kn) where i = 1, 2. In the binary case, results are extended to codes from neighbourhood ...
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 ...