Browsing School Mathematics, Statistics and Computer Science by Title
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Categorical systems biology : an appreciation of categorical arguments in cellular modelling.
(20140423)With big science projects like the human genome project, [2], and preliminary attempts to seriously study brain activity, e.g. [9], mathematical biology has come of age, employing formalisms and tools from most branches ... 
Centre manifold theory with an application in population modelling.
(2009)There are basically two types of variables in population modelling, global and local variables. The former describes the behavior of the entire population while the latter describes the behavior of individuals within this ... 
CliffordFischer theory applied to certain groups associated with symplectic, unitary and Thompson groups.
(2012)The character table of a finite group is a very powerful tool to study the groups and to prove many results. Any finite group is either simple or has a normal subgroup and hence will be of extension type. The classification ... 
Coherent structures and symmetry properties in nonlinear models used in theoretical physics.
(1994)This thesis is devoted to two aspects of nonlinear PDEs which are fundamental for the understanding of the order and coherence observed in the underlying physical systems. These are symmetry properties and soliton ... 
Combining dynamic factor models and artificial neural networks in time series forecasting with applications.
(2014)This study investigates and examines the advantages and forecasting performance of combining the dynamic factor model (DFM) and artificial neural networks (ANNs) leading to new novel models that have capabilities to produce ... 
Comparative approaches to handling missing data, with particular focus on multiple imputation for both crosssectional and longitudinal models.
(2012)Much databased research are characterized by the unavoidable problem of incompleteness as a result of missing or erroneous values. This thesis discusses some of the various strategies and basic issues in statistical ... 
A comparison study of Chebyshev spectral collocation based methods for solving nonlinear second order evolution equations.
(2015)In this study Spectral Quasilinearisation Method (SQLM) coupled with finite differ ence and Bivariate Spectral Quasilinearisation Method (BSQLM) in solving second order nonlinear evolution partial differential equations ... 
Complete symmetry groups : a connection between some ordinary differential equations and partial differential equations.
(2008)The concept of complete symmetry groups has been known for some time in applications to ordinary differential equations. In this Thesis we apply this concept to partial differential equations. For any 1+1 linear evolution ... 
Completion of an incomplete market by quadratic variation assets.
(2011)It is well known that the general geometric L´evy market models are incomplete, except for the geometric Brownian and the geometric Poissonian, but such a market can be completed by enlarging it with powerjump assets ... 
A complex survey data analysis of TB and HIV mortality in South Africa.
(2012)Many countries in the world record annual summary statistics such as economic indicators like Gross Domestic Product (GDP) and vital statistics for example the number of births and deaths. In this thesis we focus on mortality ... 
Componentbased face recognition.
(2008)Componentbased automatic face recognition has been of interest to a growing number of researchers in the past fifteen years. However, the main challenge remains the automatic extraction of facial components for recognition ... 
Computational study of high order numerical schemes for fluidstructure interaction in gas dynamics.
(20131217)Solving the fluidstructure interaction (FSI) problems is particularly challenging. This is because the coupling of the fluid and structure may require different solvers in different points of the solution domain, and with ... 
Computer assisted education : design, development and evaluation.
(2001)Educational institutions throughout the world are increasingly facing classes of educationally, culturally and linguistically diverse student groups. At the same time economic constraints require these institutions to ... 
A computer mediated system for distance education.
(20131018)A problem currently facing South Africa is the large number of poorly educated or uneducated people in many parts of the country. Distance education has proven to be an apt solution to this problem However, one of the ... 
Computer simulation of the two body abrasive wear process.
(2002)New computer technologies are applied to the classical material engineering twobody abrasive wear process. The computer simulation provides an interactive and visual representation of the wear process. The influence of ... 
Conformal motions in Bianchi I spacetime.
(1992)In this thesis we study the physical properties of the manifold in general relativity that admits a conformal motion. The results obtained are general as the metric tensor field is not specified. We obtain the Lie derivative ... 
Conformal symmetries : solutions in two classes of cosmological models.
(1991)In this thesis we study the conformal symmetries in two locally rotationally symmetric spacetimes and the homothetic symmetries of a Bianchi I spacetime. The conformal Killing equation in a class AIa spacetime (MacCallum ... 
Conformal symmetries and classification in shearfree spherically symmetric spacetimes.
(20150105)In this thesis we study the conformal geometry of static and nonstatic spherically symmetric spacetimes. We analyse the general solution of the conformal Killing vector equation subject to integrability conditions which ... 
Consequences of architecture and resource allocation for growth dynamics of bunchgrass clones.
(2005)In order to understand how bunchgrasses achieve dominance over other plant growth forms and how they achieve dominance over one another in different environments, it is first necessary to develop a detailed understanding ... 
Continuous symmetries of difference equations.
(20130604)We consider the study of symmetry analysis of difference equations. The original work done by Lie about a century ago is known to be one of the best methods of solving differential equations. Lie's theory of difference ...