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Browsing Mathematics and Applied Mathematics by Title
Now showing items 1-20 of 906
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(Springer, 2015-09)We present a model of biofilm growth in a long channel where the biomass is assumed to have the rheology of a viscous polymer solution. We examine the competition between growth and erosion-like surface detachment due ...
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(University of Pretoria, 2018)This dissertation examines the market efficiency and arbitrage opportunities between 04 January 2000 and 31 December 2015 on selected JSE-listed stocks and equity indices. To assess market efficiency, four tests were ...
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(University of Pretoria, 2019)This study investigates the cryptocurrency called bitcoin. A cryptocurrency is a type of currency that depends on cryptography to issue new units instead of depending on government decree like fiat currencies. The study ...
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(Springer, 2011)Building on prior joint work by Mallios and Ntumba, we study transvections (J. Dieudonn´e), a theme already important from the classical theory, in the realm of Abstract Geometric Algebra, referring herewith to symplectic ...
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(Springer, 2014-11)Please read abstract in the article.
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(Elsevier, 2024-04)Please read abstract in the article.
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(Taylor and Francis, 2019)This paper focuses on the students who are registered in the University of Pretoria’s academic development programme, named the Four-year Programme (FYP). The programme was introduced as a gateway for students who are ...
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(Elsevier, 2023-03)Time-dependent partial differential equations of parabolic type are known to have a lot of applications in biology, mechanics, epidemiology and control processes. Despite the usefulness of this class of differential ...
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(Duke University Press, 2016)This paper provides a semantic analysis of admissible rules and associated completeness conditions for arbitrary deductive systems, using the framework of abstract algebraic logic. Algebraizability is not assumed, so ...
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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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(Wiley, 2022-02)Please read abstract in the article.
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(University of Pretoria, 2018)In this dissertation, Szemer edi's Theorem is proven using ergodic theoretic techniques via the Furstenberg Multiple Recurrence Theorem. Brief historical remarks, along with a non-technical layout of the ideas behind the ...
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Analysis and dynamically consistent nonstandard discretization for a rabies model in humans and dogs (Springer, 2016-09)Rabies is a fatal disease in dogs as well as in humans. A possible model to represent rabies transmission dynamics in human and dog populations is presented. The next generation matrix operator is used to determine the ...
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(Elsevier, 2022-09)In this manuscript, the fractional-in-time NoyesField model for Belousov-Zhabotinsky re- action transport is considered with a novel numerical technique, which was used to ap- proximate the Atangana-Baleanu (ABC) operator ...
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(Wiley, 2018-11)Fragmentation‐coagulation processes, in which aggregates can break up or get together, often occur together with decay processes in which the components can be removed from the aggregates by a chemical reaction, evaporation, ...
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Analysis of a time implicit scheme for the Oseen model driven by nonlinear slip boundary conditions (Springer, 2016-12)This work is concerned with the time discrete analysis of the Oseen system of equations driven by nonlinear slip boundary conditions of friction type. We study the existence of solutions of the time discrete model and ...
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(University of Pretoria, 2023)Heat transfer modelling is routinely used to model the interaction between a heat source and a material specimen in applications such as additive manufacturing and medical surgery. The Fourier heat conduction model ...
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(University of Pretoria, 2021)The aim of the dissertation was to conduct a literature study on mathematical modelling, numerical computation and mathematical analysis of a linear and nonlinear Timoshenko model for the vibration of a rod with an axial ...
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(Springer, 2017-04)In this work, four finite volume methods have been constructed to solve the 2D convective Cahn–Hilliard equation with specified initial condition and periodic boundary conditions. We prove existence and uniqueness of ...
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(Elsevier, 2009)The S-layer differential transform produces subsurface conductivity-depth images from Time Domain Electromagnetic (TDEM) data. It is a very fast method, but suffers from high noise levels due to the implementation of two ...
Now showing items 1-20 of 906