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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 ...
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 ...
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 ...
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 ...
Transport modelling in the Cape Town Metropolitan Area
(University of the Western Cape, 2005)
The use of MEPLAN by the Metropolitan Transport Planning Branch of the Cape Town City Council since 1984 was not successful due to apartheid anomalies. EMME/2 was then introduced in 1991 in replacement of MEPLAN. In this ...
Investigating an integrated teaching methodology as a means to prepare students for university studies in mathematics
(University of the Western Cape, 2005)
A key issue for the success of students entering a first year mathematics course at tertiary level is whether or not they have an integrated understanding and view of the mathematical concepts acquired at school. Various ...
Skills, training and support for carers in HIV/AIDS community home-based care: a case study of carers in Chikankata, Zambia
(University of the Western Cape, 2005)
The high prevalence of HIV/AIDS in Zambia has led to the development of innovative ways of coping with sickness related to this infection. HIV/AIDS home-based care is one such innovation designed in Chikankata Hospital in ...