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Now showing items 21-30 of 31
On the primarity of some block intersection graphs
(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 ...
Measurements of edge uncolourability in cubic graphs
(University of the Western Cape, 2020)
The history of the pursuit of uncolourable cubic graphs dates back more than a century.
This pursuit has evolved from the slow discovery of individual uncolourable
cubic graphs such as the famous Petersen graph and the ...
Efficient Variable Mesh Techniques to solve Interior Layer Problems
(University of Western Cape, 2020)
Singularly perturbed problems have been studied extensively over the past
few years from different perspectives. The recent research has focussed on the
problems whose solutions possess interior layers. These interior ...
Fractional black-scholes equations and their robust numerical simulations
(University of the Western Cape, 2020)
Conventional partial differential equations under the classical Black-Scholes approach
have been extensively explored over the past few decades in solving option
pricing problems. However, the underlying Efficient Market ...
Mathematical modeling of TB disease dynamics in a crowded population.
(University of the Western Cape, 2020)
Tuberculosis is a bacterial infection which is a major cause of death worldwide. TB is a
curable disease, however the bacterium can become resistant to the first line treatment
against the disease. This leads to a disease ...
Numerical singular perturbation approaches based on spline approximation methods for solving problems in computational finance
(University of the Western Cape, 2011)
Options are a special type of derivative securities because their values are derived from
the value of some underlying security. Most options can be grouped into either of
the two categories: European options which can ...
High Accuracy Fitted Operator Methods for Solving Interior Layer Problems
(University of the Western Cape, 2020)
Fitted operator finite difference methods (FOFDMs) for singularly perturbed
problems have been explored for the last three decades. The construction of
these numerical schemes is based on introducing a fitting factor ...
Robust numerical methods to solve differential equations arising in cancer modeling
(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 ...
Mathematical models for optimal management of bank capital, reserves and liquidity
(University of the Western Cape, 2019)
The aim of this study is to construct and propose continuous-time mathematical models
for optimal management of bank capital, reserves and liquidity. This aim emanates from
the global financial crisis of 2007 − 2009. In ...
Codes, graphs and designs from maximal subgroups of alternating groups
(University of the Western Cape, 2018)
The main theme of this thesis is the construction of linear codes from adjacency matrices or sub-matrices of adjacency matrices of regular graphs. We first examine the binary codes from the row span of biadjacency ...