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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 ...
Elementary logic as a tool in proving mathematical statements
(University of the Western Cape, 2008)
The findings of the study indicate that knowledge of logic does help to improve the ability of students to make logical connections (deductions) between and from statements.The results of the study, however, do not indicate ...
Numerical Treatment of Non-Linear singular pertubation problems
(University of the Western Cape, 2007)
This thesis deals with the design and implementation of some novel numerical methods for non-linear singular pertubations problems (NSPPs). It provide a survey of asymptotic and numerical methods for some NSPPs in the past ...
Codes from uniform subset graphs and cycle products
(University of the Western Cape, 2007)
In this thesis only Binary codes are studied. Firstly, the codes overs the field GF(2) by the adjacency matrix of the complement T(n), ofthe triangular graph, are examined. It is shown that the code obtained is the full ...
The non-cancellation groups of certain groups which are split extensions of a finite abelian group by a finite rank free abelian group
(University of the Western Cape, 2008)
The groups we consider in this study belong to the class X0 of all nitely generated groups with nite commutator subgroups. We shall eventually narrow down to the groups of the form T owZn for some n 2 N and some nite ...
Groupoids of homogeneous factorisations of graphs
(University of the Western Cape, 2009)
This thesis is a study on the confluence of algebraic structures and graph theory. Its aim is to consider groupoids from factorisations of complete graphs. We are especially interested in the cases where the factors are ...
Analysis and implementation of a positivity preserving numerical method for an HIV model
(2007)
This thesis deals with analysis and implementation of a positivity preserving numerical method for a vaccination model for the transmission dynamics of two HIVsubtypesnin a given community. The continuous model is analyzed ...
Higher order numerical methods for singular perturbation problems
(University of the Western Cape, 2009)
In recent years, there has been a great interest towards the higher order numerical methods for singularly perturbed problems. As compared to their lower order counterparts, they provide better accuracy with fewer mesh ...
Pairings of Binary reflexive relational structures
(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 ...
Numerical treatment of non-linear singular perturbation problems
(University of the Western Cape, 2007)
This thesis deals with the design and implementation of some novel numerical methods for nonlinear singular perturbations problems (NSPPs). We provide a survey of asymptotic and numerical methods for some NSPPs in past ...