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Now showing items 31-40 of 50
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 ...
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 ...
Mathematical modeling of an epidemic under vaccination in two interacting populations
(University of the Western Cape, 2011)
In this dissertation we present the quantitative response of an epidemic of the so-called SIR-type, in a population consisting of a local component and a migrant component. Each component can be divided into three classes, ...
On the method of lines for singularly perturbed partial differential equations
(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 ...
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. ...
A model for managing pension funds with benchmarking in an inflationary market
(University of the Western Cape, 2011)
Aggressive fiscal and monetary policies by governments of countries and central banks in developed markets could somehow push inflation to some very high level in the long run. Due to the decreasing of pension fund benefits ...
Design, analysis and simulation of a robust numerical method to solve Zika virus models
(University of the Western Cape, 2019)
This thesis deals with the analysis and robust simulation of mathematical models
describing Zika virus disease. Some background information about the occurrences
of this disease and most recent literature indicating some ...
The influence of interfaces on the understanding of Mathematics in secondary schools in Afghanistan
(University of the Western Cape, 2010)
The focus of this research is to establish whether there is a difference in the way the genders perceive the visualization of mathematics, with specific reference to set theory. The influence of the computing experience ...
Do money managers outperform their respective benchmark? Evidence from South African Unit Trust industry
(University of the Western Cape, 2015)
Motivated by the growing attraction of the mutual fund industries across the world, this research seeks to explore the economic benefits contributed by the South African equity unit trust managers over the period from 1 ...
A mathematical modeling of optimal vaccination strategies in epidemiology
(2010)
We review a number of compartmental models in epidemiology which leads to a
nonlinear system of ordinary differential equations. We focus an SIR, SEIR and
SIS epidemic models with and without vaccination. A threshold ...