Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 470 for “"mathematics and applied mathematics"”.
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A cultural-historical activity theory based analysis of lecturer and student understanding of learning in the Department of Mathematics and Applied Mathematics at the University of Cape Town
… I use that framework to investigate teaching and learning in two first-year university mathematics courses at the University of Cape Town. The focus of this investigation is whether the different subjects of this activity system (i.e. the students and the lecturers) have different conceptions …
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Fitted numerical methods for delay differential equations arising in biology
… Biology E.B.M. Bashier PhD thesis, Department of Mathematics and Applied Mathematics,Faculty of Natural Sciences, University of the Western Cape. This thesis deals with the design and analysis of tted numerical methods for some delay di erential models that arise in biology. Very often such di …
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Novel fitted schemes based on mimetic finite difference method for options pricing
… difference method while pricing options. The standard mimetic finite difference method is known in fluid dynamics to preserve important properties of the continuous problem in the discrete case thereby resulting in more accurate approximations. The underlying Black-Scholes differential operator …
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A review of the Hubble tension
… using ΛCDM from Planck observations of the CMB, and the late universe H0 value, obtained using luminosity and distance measurements from a Type Ia Supernova (SNIa) distance ladder, has now reached 4.2σ. Despite improvements in precision, this tension has increased. This thesis studies these two …
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Evolution of matter density perturbations in viable f (R) theories of gravity
… the energy budget of the Universe today, and yet, it is still a poorly understood species because it is not observed yet. A competitive theoretical approach to understand this is via the so-called f (R) extended theories of gravity, which explain the late acceleration epoch of the Universe …
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An analysis of frictional effects in non-stationary contact problems for metal forming simulations
… for the simulation of metal forming processes and has been successfully used in contact problems which arise in processes such as deep-drawing, punching, extrusion and rolling. All these processes involve friction between the contact surfaces: the sheet-metal workpiece and the toolpieces. The …
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Distances in planar graphs
… of vertices a graph with given maximum degree and diameter can have. The face-degree of a face in plane graph is the length of the shortest closed walk traversing the boundary of the face. A plane graph is ρ-face-degree regular if every face has face-degree ρ. This thesis begins with a …
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Chaotic Dynamics of Polyatomic Systems with an Emphasis on DNA Models
… the chaotic behaviour of multiparticle systems, and in particular DNA and graphene models, by applying various numerical methods of nonlinear dynamics. Through the use of symplectic integration techniques—efficient routines for the numerical integration of Hamiltonian systems—we present an …
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Modelling and computational analysis of heat-transfer in multi-geometry and multi-phase flow of Newtonian and non-Newtonian fluids in pipes and channels
The thesis develops and computationally analyzes mathematical models for multi-geometry heat exchanger design and for multi-phase flow problems involving boiling and bubble formation. Newtonian fluids, Newtonian-Fluid-Based- Nanofluids, and non-Newtonian fluids are all considered in the thesis. The …
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Topics in 2-categorical Algebra
In this thesis we will examine 2-categories and higher categorical structures and formulate 1-categorical theorems in the language of higher categories as well as formulate some internal definitions of these base structures in finitely complete categories. We will begin by defining the relevant 2- …
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Topics of entropy in locally compact abelian groups
The present MSc thesis discusses some notions of abelian group theory in connection with recent topics of topological entropy of locally compact abelian groups. It has been used the reference of [D. J. S. Robinson, A Course in the Theory of Groups, Springer, 1996, New York], which is a classical …
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Chaos and Scrambling in Quantum Small Worlds
… next-to-nearest-neighbour etc.) and completely random interactions. They are systems of quantum spin particles in which the network topology is given by the Watts-Strogatz model of network theory. As such, they furnish a novel laboratory for studying quantum systems transitioning …
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Gravitational lensing
… physical situations.The thin lens approximation and weak field approximations were used to build the whole theory and explain the phenomenology up to today. We review the gravitational lensing formalism in weak and strong limits. We discuss the main results of massive dark objects at galactic …
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Active Inference in Multi-Objective Dynamic Environments
… but also unlocking the mysteries of our brains, and the nature of the subjective consciousness that accompanies them. Many paradigms of artificial intelligence are attempting to push the boundaries of the field, in order to catch a glimpse of the secrets behind general intelligence and the nature …
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Stability and gravitational collapse in extended theories of gravity: from singularities to bouncing scenarios
… theory of General Relativity was well adapted and accepted until limitations in the form of an unexplained form of energy, referred today as Dark Energy, were observed. For this reason, modifications to the standard Theory of General Relativity were proposed: the so-called f(R) theories. In …
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Stochastic modelling of financial markets with differential information
… years or so, many articles in the financial mathematics literature have been concerned with using techniques of stochastic calculus to model financial markets in which different traders have access to different levels of information. This thesis aims to provide a coherent account of the …
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Finite system size effects on the effective coupling in scalar quantum field theory
… in high multiplicity proton-proton (p + p) and proton-nucleus (p + A) collisions. It has also been shown that azimuthal correlations of low transverse momentum outgoing particles from these high multiplicity p + p and p + A collisions can be modeled well using nearly inviscid relativistic …
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Evaluating transformers as memory systems in reinforcement learning
… component of effective learning systems and is crucial in non-Markovian as well as partially observable environments. In recent years, Long Short-Term Memory (LSTM) networks have been the dominant mechanism for providing memory in reinforcement learning, however, the success of …
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Unbound linear operators in operator ranges
… on a Banach space) as well as investigating and characterizing some of the properties of operator ranges. For the sake of generality we will for the most part be considering unbounded or closed linear operators instead of continuous everywhere defined linear operators. We will not be …
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Universe phenomenology as understood from gravitational theories with non-vanishing torsion: cosmology and black holes
… theories constructed on the Riemann-Cartan and Weitzenböck space-times. Firstly, we outline the mathematical notions needed to construct a definition of space-time. Following this, we introduce the space-time definitions to be made use of throughout this thesis. We then discuss the notions …
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