Browsing Doctoral Theses (Mathematical & Computer Sciences) by Title
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Ecoevolutionary modelling of infectious disease and host resistance
(HeriotWatt University Mathematical and Computer Sciences, 201502)In this work we take an evolutionary invasion analysis approach to modelling evolution and use it to describe the selection pressures underlying epidemiological traits in natural host populations harboring endemic ... 
The effect of noise in models of spiny dendrites
(HeriotWatt University Mathematical and Computer Sciences, 201005)The dendritic tree provides the surface area for synaptic connections between the 100 billion neurons in the brain. 90% of excitatory synapses are made onto dendritic spines which are constantly changing shape and strength. ... 
Effects of genetic testing on insurance : pedigree analysis and ascertainment adjustment
(HeriotWatt University, 200903)Gas condensate flow, which is very different from the conventional twophase (oil and gas) flow, shows more complicated behaviour around the wellbore owing to condensate buildup and the different velocity effects on ... 
Efficient access to distributed biomedical image data
(HeriotWatt University Mathematical and Computer Sciences, 2005) 
Efficient numerical schemes for porous media flow
(HeriotWatt University Mathematical and Computer Science, 201010)Partial di erential equations (PDEs) are important tools in modeling complex phenomena, and they arise in many physics and engineering applications. Due to the uncertainty in the input data, stochastic partial di erential ... 
Elements of qualitative theory of quasilinear elliptic partial differential equations for mappings valued in compact manifolds
(HeriotWatt University Mathematical and Computer Sciences, 2003) 
Emotions, behaviour and belief regulation in an intelligent guide with attitude
(HeriotWatt University Mathematical and Computer Sciences, 2007) 
Empirical studies in corporate credit modelling; liquidity premia, factor portfolios & model uncertainty
(HeriotWatt University Mathematical and Computer Sciences, 201704)Insurers match the cash flows of typically illiquid insurance liabilities, such as inforce annuities, with government and corporate bonds. As they intend to buy corporate bonds and hold them to maturity, they can capture ... 
Enclosures for the eigenvalues of selfadjoint operators and applications to Schrodinger operators
(HeriotWatt University Mathematical and Computer Sciences, 201403)This thesis concerns how to compute upper and lower bounds for the eigenvalues of selfadjoint operators. We discuss two different methods: the socalled quadratic method and the ZimmermannMertins method. We know that ... 
Enriched discrete spaces for time domain wave equations
(HeriotWatt University Mathematical and Computer Sciences, 201701)The second order linear wave equation is simple in representation but its numerical approximation is challenging, especially when the system contains waves of high frequencies. While 10 grid points per wavelength is ... 
Epidemics in heterogeneous populations: spread, estimation and control
(HeriotWatt University Actuarial Mathematics and Statistics, 1990) 
Estimates for spatial derivatives of solutions for quasilinear parabolic equations with small viscosity
(HeriotWatt University Mathematics, 2001) 
Evolutionary algorithms and weighting strategies for feature selection in predictive data mining
(HeriotWatt University Mathematical and Computer Sciences, 201505)The improvements in Deoxyribonucleic Acid (DNA) microarray technology mean that thousands of genes can be profiled simultaneously in a quick and efficient manner. DNA microarrays are increasingly being used for prediction ... 
Evolutionary algorithms for financial trading
(HeriotWatt University Mathematical and Computing Science, 201111)Genetic programming (GP) is increasingly popular as a research tool for applications in finance and economics. One thread in this area is the use of GP to discover effective technical trading rules. In a seminal article, ... 
Existence and multiplicity results for a class of nonlinear boundary value problems
(HeriotWatt University Mathematics, 1977) 
Existence and stability of drawing and necking deformations for nonlinearly elastic rods
(HeriotWatt University Mathematics, 1986) 
Existence of moments and convergence rates in stochastic networks
(HeriotWatt University Mathematical and Computer Sciences, 2005) 
Exploring machine learning techniques in epileptic seizure detection and prediction
(201405)Epilepsy is the most common neurological disorder, affecting between 0.6% and 0.8% of the global population. Among those affected by epilepsy whose primary method of seizure management is Anti Epileptic Drug therapy ... 
Exponential time differencing methods and asymptotic behaviour of solutions of problems in ground water flow
(HeriotWatt University Mathematical and Computer Sciences, 201506)We start this thesis with a numerical study of the convergence of the exponential time differencing (ETD) schemes and the semiimplicit Euler method for the AllenCahn equation and a reactionconvectiondiffusion equation ... 
Extensions of nominal terms
(HeriotWatt University Mathematical and Computer Science, 201103)This thesis studies two major extensions of nominal terms. In particular, we study an extension with abstraction over nominal unknowns and atoms, and an extension with an arguably better theory of freshness and ...