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Theses and Dissertations (Mathematics and Applied Mathematics): Recent submissions
Now showing items 81-100 of 168
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(University of Pretoria, 2015)In order to meet the changing needs of today’s students and society, instructors need to adapt to new teaching methods. The purpose of this case study is to explore the integration of technology into teaching at a mathematics ...
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(University of Pretoria, 2015)We introduce a new framework of generalized operators to handle vector valued distributions, intertwined evolution operators of B-evolution equations and Fokker Planck type evolution equations. Generalized operators capture ...
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(University of Pretoria, 2014)In this thesis we design and implement finite volume schemes to approximate the solution of 1-dimensional (partial) differential equations. Most of these partial differential equations (PDEs) are made up of not only ...
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(University of Pretoria, 2014)The Binomial option pricing model plays an integral role in modern nance due to its simplicity to implement and pedagogical value. There are two ways of extending the Binomial model on one source of underlying risk. The ...
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(University of Pretoria, 2014)This dissertation tackles the current life insurance industry challenge to price and hedge minimum rate of return guarantees (MRRG) embedded in recurring-contribution life insurance contracts in a practical manner. The ...
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(University of Pretoria, 2014)In this dissertation we take a look at the rise of interest rate basis spreads in the market following the liquidity and credit crunch of 2008. We show that post 2008 the valuation of all interest rate instruments of a ...
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(University of Pretoria, 2014)This thesis is divided in three main chapters devoted to the study of finite element approximations of fluid flows with special nonlinearities coming from boundary con- ditions. In Chapter 1, we consider the finite ...
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(University of Pretoria, 2015)Stochastic Portfolio Theory (SPT) as a methodology aims to move away from the e cient market hypothesis which was developed mainly as a way of explaining the relationship between risk and returns. SPT attempts to ...
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(University of Pretoria, 2014)This dissertation proposes stress testing of a bank’s corporate credit portfolio in a Basel Internal Ratings Based (IRB) framework, using publicly available macroeconomic variables. Corporate insolvencies are used to derive ...
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(University of Pretoria, 1977)Die doel van hierdie verhandeling is om 'n algoritme vir kleinstekwadrate-benaderings te vind en om met behulp van die algoritme 'n rekenaarprogram te ontwikkel vir die minimering van die kleinstekwadrate- benadering ...
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(University of Pretoria, 2013)In this dissertation we develop aspects of ergodic theory for C*-dynamical systems for which the C*-algebras are allowed to be noncommutative. We define four ergodic properties, with analogues in classic ergodic theory, ...
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(University of Pretoria, 2013)The aim of this dissertation is to investigate ergodic properties, in particular unique ergodicity, in a noncommutative setting, that is in C*-dynamical systems. Fairly recently Abadie and Dykema introduced a broader ...
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(University of Pretoria, 2013)Lattices of hereditary properties of nite graphs have been extensively studied. We investigate the lattice L of induced-hereditary properties of countable graphs. Of interest to us will be some of the members of L. Much ...
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(University of Pretoria, 2013)In this dissertation, we study about the extension of results of psumming operators to Lipschitz p-summing maps and their respective relatives for 1 ≤ p < ∞ . Lipschitz p-summing and Lipschitz p-integral maps are the ...
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(University of Pretoria, 1978)Please read the abstract in the dissertation.
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(University of Pretoria, 2013)This dissertation is concerned with aspects of the newly-proposed approach to nonlinear acoustics in which the Lagrangian description of gas motion is followed. It contains a systematic survey of the approach which leads ...
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(University of Pretoria, 2012)We consider several classes of orthogonal polynomials as well as the Bessel function where we study the convexity of zeros of these polynomials, satisfying either differential or real difference equations, by applying ...
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(University of Pretoria, 2012)Read abstract in the document
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(University of Pretoria, 2004)This work primarily provides some detail of results on domain properties of closed (unbounded) derivations on C*-algebras. The focus is on Section 4: Domain Properties where a combination of topological and algebraic ...
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(University of Pretoria, 2007-02-23)The equation of motion for the flows of incompressible Newtonian fluids (Navier Stokes equations) under no-slip boundary conditions have been studied deeply from many perspectives. The questions of existence and uniqueness ...
Now showing items 81-100 of 168