Browsing Masters Degrees (Applied Mathematics) by Title
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Analysis and numerical solutions of fragmentation equation with transport.
(20140512)Fragmentation equations occur naturally in many real world problems, see [ZM85, ZM86, HEL91, CEH91, HGEL96, SLLM00, Ban02, BL03, Ban04, BA06] and references therein. Mathematical study of these equations is mostly ... 
Application of the wavelet transform for sparse matrix systems and PDEs.
(2009)We consider the application of the wavelet transform for solving sparse matrix systems and partial differential equations. The first part is devoted to the theory and algorithms of wavelets. The second part is concerned ... 
Assessment of variability in onfarm trials : a Uganda case.
(2002)Onfarm trials techniques have become an integral part of research aimed at improving agricultural production especially in subsistence farming. The poor performance of certain technologies on the farmers' fields known to ... 
Bayesian analysis of cosmological models.
(2010)In this thesis, we utilise the framework of Bayesian statistics to discriminate between models of the cosmological mass function. We first review the cosmological model and the formation and distribution of galaxy clusters ... 
Bounds on distances for spanning trees of graphs.
(2018)In graph theory, there are several techniques known in literature for constructing spanning trees. Some of these techniques yield spanning trees with many leaves. We will use these constructed spanning trees to bound ... 
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 ... 
The characteristic approach in determining first integrals of a predatorprey system.
(2016)PredatorPrey systems are an intriguing symbiosis of living species that interplay during the fluctuations of birth, growth and death during any period. In the light of understanding the behavioural patterns of the ... 
Charge distribution in neutron stars.
(2017)In previous studies, people have shown that compact stars, like the neutron stars and quark stars, can hold a lot of charge during their formation resulting in a large mass and radius. It was also argued that when the ... 
Chebyshev spectral and pseudospectral methods in unbounded domains.
(2015)Chebyshev type spectral methods are widely used in numerical simulations of PDEs posed in unbounded domains. Such methods have a number of important computational advantages. In particular, they admit very efficient practical ... 
Commissioning and characterisation of the CBand AllSky Survey Southern telescope.
(2015)Abstract available in PDF file. 
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 ... 
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 ... 
A covariant approach to LRSII spacetime matching.
(2017)In this thesis we examine the spacetime matching conditions covariantly for Locally Rotationally Symmetric class II (LRSII) spacetimes, of which spherical symmetry is a special case. We use the semitetrad 1+1+2 covariant ... 
Credit derivative valuation and parameter estimation for CIR and Vasicektype models.
(20140918)A credit default swap is a contract that ensures protection against losses occurring due to a default event of an certain entity. It is crucial to know how default should be modelled for valuation or estimating of ... 
Degree theory in nonlinear functional analysis.
(20131021)The objective of this dissertation is to expand on the proofs and concepts of Degree Theory, dealt with in chapters 1 and 2 of Deimling [28], to make it more readable and accessible to anyone who is interested in the ... 
A discrete Fourier transform based on Simpson's rule.
(20150105)Fourier transforms are mathematical operations which play a vital role in the analysis of mathematical models for problems originating from a broad spectrum of elds. In this thesis, we formulate a discrete transform ... 
A discrete Hartley transform based on Simpson's rule.
(2015)The Discrete Hartley Transform and Discrete Fourier Transform are classical transfor mations designed for e cient computations in the frequency domain. We introduce a relatively new transformation based on the existing ... 
Distance measures in graphs and subgraphs.
(1996)In this thesis we investigate how the modification of a graph affects various distance measures. The questions considered arise in the study of how the efficiency of communications networks is affected by the loss of ...