Browsing Applied Mathematics by Title
Now showing items 221 of 71

Age structured models of mathematical epidemiology.
(20141121)We consider a mathematical model which describes the dynamics for the spread of a directly transmitted disease in an isolated population with age structure, in an invariant habitat, where all ... 
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 ... 
Analysis of shearfree spherically symmetric charged relativistic fluids.
(2011)We study the evolution of shearfree spherically symmetric charged fluids in general relativity. This requires the analysis of the coupled EinsteinMaxwell system of equations. Within this framework, the master field ... 
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 ... 
Applications of embedding theory in higher dimensional general relativity.
(20140422)The study of embeddings is applicable and signicant to higher dimensional theories of our universe, highenergy physics and classical general relativity. In this thesis we investigate local and global isometric ... 
Applications of Lie symmetries to gravitating fluids.
(2011)This thesis is concerned with the application of Lie's group theoretic method to the Einstein field equations in order to find new exact solutions. We analyse the nonlinear partial differential equation which arises ... 
Applications of symmetry analysis of partial differential and stochastic differential equations arising from mathematics of finance.
(2011)In the standard modeling of the pricing of options and derivatives as generally understood these days the underlying process is taken to be a Wiener Process or a Levy Process. The stochastic process is modeled as a stochastic ... 
Aspects of graph vulnerability.
(1994)This dissertation details the results of an investigation into, primarily, three aspects of graph vulnerability namely, lconnectivity, Steiner Distance hereditatiness and functional isolation. Following the introduction ... 
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 ... 
Asymptotic analysis of singularly perturbed dynamical systems.
(2011)According to the needs, real systems can be modeled at various level of resolution. It can be detailed interactions at the individual level (or at microscopic level) or a sample of the system (or at mesoscopic level) and ... 
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 distancebased topological indices in graphs.
(2012)This thesis details the results of investigations into bounds on some distancebased topological indices. The thesis consists of six chapters. In the first chapter we define the standard graph theory concepts, and ... 
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 ... 
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 ... 
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 ... 
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 ... 
Developing an integrated decision support system for an oil refinery.
(1998)This thesis considers the problem of residue upgrading operations in an oil refinery. Visbreaking is a residueupgrading process that improves profitability of a refinery. The economics of converting the heavy residue ...