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Dissertations / Theses on the topic 'Numerical mathematics'

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Published: 4 June 2021

Last updated: 26 January 2023

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1

Ferres, Forga Nuria 1968. "Improving mathematical abilities by training numerical representations in children : the relation between learning mathematics and numerical cognition." Doctoral thesis, Universitat Pompeu Fabra, 2018. http://hdl.handle.net/10803/663849.

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Improving mathematical abilities is important for educational systems and for society overall. We present two training regimes based on numerical representations. In Study 1, we show that a three-week computer-based quantity discrimination training, focused on enhancing the accuracy of the Approximate Number System (ANS), improved mathematics performance in low-performing 7-to-8-year-old children. In Study 2, we show that a novel numerical estimation training enhancing mappings between Arabic digits and quantities, improved overall mathematical competence in all children, going beyond the

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2

Li, Song. "Numerical methods for stable inversion of nonlinear systems." Diss., Georgia Institute of Technology, 2002. http://hdl.handle.net/1853/15028.

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3

Mendoza-Smith, Rodrigo. "Numerical algorithms for the mathematics of information." Thesis, University of Oxford, 2017. http://ora.ox.ac.uk/objects/uuid:451a418b-eca0-454f-8b54-7b6476056969.

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This thesis presents a series of algorithmic innovations in Combinatorial Compressed Sensing and Persistent Homology. The unifying strategy across these contributions is in translating structural patterns in the underlying data into specific algorithmic designs in order to achieve: better guarantees in computational complexity, the ability to operate on more complex data, highly efficient parallelisations, or any combination of these.

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4

Reddinger, Kaitlin Sue. "Numerical Stability & Numerical Smoothness of Ordinary Differential Equations." Bowling Green State University / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1431597407.

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5

Baer, Lawrence H. "Numerical aspects of computational geometry." Thesis, McGill University, 1992. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=22507.

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This thesis is concerned with the numerical issues resulting from the implementation of geometric algorithms on finite precision digital computers. From an examination of the general problem and a survey of previous research, it appears that the central problem of numerical computational geometry is how to deal with degenerate and nearly degenerate input. For some applications, such as solid modeling, degeneracy is often intended but we cannot always ascertain its existence using finite precision. For other applications, degenerate input is unwanted but nearly degenerate input is unavoidable.

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6

Wilson, Joycelyn N. "Errors in Numerical Quadrature Schemes." DigitalCommons@Robert W. Woodruff Library, Atlanta University Center, 1998. http://digitalcommons.auctr.edu/dissertations/507.

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As a general rule, it is not possible to express the integral, ∫abf(x)dx, of a real valued function f of a single real variable x, in terms of relatively elementary functions. Even when this can be done, numerical calculations based on such expressions may be lengthy and tedious. For these reasons, mathematicians have devised several numerical quadrature schemes to provide approximate values for the integral (1). The error in any such scheme is defined as the difference between the integral and the numerical quadrature scheme. In this paper, we studied the errors in four specific numerical qua

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7

Nigam, Mats S. (Mats Sandje) 1970. "Numerical modeling of suspension flows." Thesis, Massachusetts Institute of Technology, 1999. http://hdl.handle.net/1721.1/85307.

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8

Mongwane, Bishop. "Problems in cosmology and numerical relativity." Doctoral thesis, University of Cape Town, 2015. http://hdl.handle.net/11427/15689.

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Includes bibliographical references.<br>A generic feature of most inflationary scenarios is the generation of primordial perturbations. Ordinarily, such perturbations can interact with a weak magnetic field in a plasma, resulting in a wide range of phenomena, such as the parametric excitation of plasma waves by gravitational waves. This mechanism has been studied in different contexts in the literature, such as the possibility of indirect detection of gravitational waves through electromagnetic signatures of the interaction. In this work, we consider this concept in the particular case of magn

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9

Gooday, Richard David. "Numerical modelling of Langjökull Ice Cap, Iceland." Thesis, University of Southampton, 2003. https://eprints.soton.ac.uk/45943/.

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This thesis describes the development and application of a mass balance model for Langjökull Ice Cap to enable an investigation into its state of balance. This model is then coupled to a numerical model of ice flow, also developed as part of this thesis, to allow an assessment of the sensitivity of the ice cap to future climate change. Using data collected at a field site on one of the ice cap’s outlet glaciers in the summer of 2000, an energy balance model was optimised in order to obtain the best fit between the predicted and observed ablation. Although the optimisation enabled a reasonable

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10

Breward, C. J. W. "The mathematics of foam." Thesis, University of Oxford, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.300849.

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The aim of this thesis is to derive and solve mathematical models for the flow of liquid in a foam. A primary concern is to investigate how so-called `Marangoni stresses' (i.e. surface tension gradients), generated for example by the presence of a surfactant, act to stabilise a foam. We aim to provide the key microscopic components for future foam modelling. We begin by describing in detail the influence of surface tension gradients on a general liquid flow, and various physical mechanisms which can give rise to such gradients. We apply the models thus devised to an experimental configuration

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11

Cooke, W. "Mathematics of crimping." Thesis, University of Oxford, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.365817.

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The aim of this thesis is to investigate the mathematics and modelling of the industrial crimper, perhaps one of the least well understood processes that occurs in the manufacture of artificial fibre. We begin by modelling the process by which the fibre is deformed as it is forced into the industrial crimper. This we investigate by presuming the fibre to behave as an ideal elastica confined in a two dimensional channel. We consider how the arrangement of the fibre changes as more fibre is introduced, and the forces that are required to confine it. Later, we apply the same methods to a fibre co

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12

Ndamase-, Nzuzo Pumla Patricia. "Numerical error analysis in foundation phase (Grade 3) mathematics." Thesis, University of Fort Hare, 2014. http://hdl.handle.net/10353/5893.

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The focus of the research was on numerical errors committed in foundation phase mathematics. It therefore explored: (1) numerical errors learners in foundation phase mathematics encounter (2) relationships underlying numerical errors and (3) the implementable strategies suitable for understanding numerical error analysis in foundation phase mathematics (Grade 3). From 375 learners who formed the population of the study in the primary schools (16 in total), the researcher selected by means of a simple random sample technique 80 learners as the sample size, which constituted 10% of the populatio

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13

Lehmann, Brian (Brian Todd). "Numerical properties of pseudo-effective divisors." Thesis, Massachusetts Institute of Technology, 2010. http://hdl.handle.net/1721.1/60194.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2010.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (p. 69-71).<br>Suppose that X is a smooth variety and L is an effective divisor. One of the main goals of bi rational geometry is to understand the asymptotic behavior of the linear series... as m increases. The two most important features of the asymptotic behavior - the litaka dimension and the litaka fibration - are subtle and difficult to work with. In this thesis we will construct approximations to these objects that depend onl

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14

Etekpo, Kossi. "Numerical solution for subsurface reservoir simulation." Master's thesis, University of Cape Town, 2017. http://hdl.handle.net/11427/25007.

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Transport problems in porous media constitute an important field of scientific research in modern world, due to their broad applications in area such as petroleum engineering, water resources, pollutants transport and green- house gases sequestration to just mention few. The mathematical models that describe such problems have been developed and form one of the main classes of partial differential equations (PDEs) that scientists encounter in the real-world modeling. Nevertheless, in most of the cases, the exact solutions in the classical sense of those models are not available. The study of n

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15

Shyshkov, Andriy. "NUMERICAL SOLUTION OF ILL-POSED PROBLEMS." Kent State University / OhioLINK, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=kent1271700548.

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16

Takeda, A. L. "Parallel numerical modelling of ice flow in Antarctica." Thesis, University of Southampton, 2000. https://eprints.soton.ac.uk/45905/.

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This thesis describes the parallel implementation of a three-dimensional numerical ice flow model of the whole of the grounded part of the Antarctic Ice Sheet at a grid resolution of 20km. Numerical modelling of ice flow is computationally intensive as it requires the solution of non-linear equations over long time scales. A parallel model was developed to overcome these restrictions, and it is demonstrated that the model runs more quickly on multiple processors than on a single processor (70% efficiency on four processors). The model was successfully validated against published benchmarks and

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17

Brunet, Marc P. "Numerical experimentations with input optimization." Thesis, McGill University, 1989. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=61932.

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18

Millmore, Stephen Timothy. "Interfaces in numerical relativistic hydrodynamics." Thesis, University of Southampton, 2010. https://eprints.soton.ac.uk/170233/.

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This thesis investigates numerical techniques for modelling sharp interfaces between relativistic fluids. The motivation for this work lies in obtaining accurate models of neutron star interiors for use in multidimensional simulations in general relativity. The interior structure of a neutron star is believed to contain several regions, often separated by sharp transition layers. These layers are too thin to be explicitly incorporated in a numerical simulation of the entire star. We investigate how techniques can be developed to model these layers as sharp interfaces, across which the matter m

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19

Walters, Anthony. "Some numerical investigations in cosmology." Doctoral thesis, University of Cape Town, 2017. http://hdl.handle.net/11427/27364.

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Numerical simulations have become an indispensable tool for understanding the complex non-linear behavior of many physical systems. Here we present two numerical investigations in cosmology. The first is posed in the context of inhomogeneous solutions to General Relativity. We lay out formalism for calculating observables in an arbitrary spacetime, for an arbitrary placed observer. In particular, we calculate the area distance, redshift and transverse motion across the observers sky. We apply our method to the Szekeres metric, and develop code in MATLAB to implement it. We successfully demonst

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20

Jin, Shi 1963. "Numerical transport in diffusive regimes." Diss., The University of Arizona, 1991. http://hdl.handle.net/10150/565536.

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21

Humphries, Antony R. "Numerical analysis of dynamical systems." Thesis, University of Bath, 1993. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.358937.

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22

Zangor, Roxana Ioana Lutoborski A. "Numerical methods for smooth, detectable image perturbations." Related Electronic Resource: Current Research at SU : database of SU dissertations, recent titles available full text, 2003. http://wwwlib.umi.com/cr/syr/main.

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23

Kuster, Christopher M. "Fast Numerical Methods for Evolving Interfaces." NCSU, 2006. http://www.lib.ncsu.edu/theses/available/etd-04262006-083221/.

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Free and/or moving boundary problems occur in a wide range of applications. These boundaries can obey either local or global conditions. In this dissertation, new numerical techniques for solving some of these problems are developed, analyzed, implemented and tested. The new techniques for free and moving boundary problems are 1) a second order method for solving moving boundary problems and 2) a hybrid level set/boundary element method for solving some free boundary problems. The main tool used in both is the Fast Marching method, a fast algorithm for solving the eikonal equation. An applicat

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24

Palmacci, Matthew Stephen. "Escher's problem and numerical sequences." Link to electronic thesis, 2006. http://www.wpi.edu/Pubs/ETD/Available/etd-042706-133106/.

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25

Jakobsen, Espen Robstad. "On the theory and numerical analysis of viscosity solutions." Doctoral thesis, Norwegian University of Science and Technology, Norwegian University of Science and Technology, 2001. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-556.

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26

Karoui, Abderrazek. "On the numerical solution of delay differential equations." Thesis, University of Ottawa (Canada), 1992. http://hdl.handle.net/10393/7673.

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A numerical method for the treatment of non-vanishing lag state dependent delay differential equations is developed in this work. This method is based on a (5,6) Runge-Kutta formula pair. The delayed term is approximated by a three-point Hermite polynomial. In order to obtain a highly accurate numerical scheme, special attention is given to the characterization and the localization of the derivative jump discontinuities of the solution. Some real-life problems are used to test the new method and compare it with existing ones.

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27

Jung, Chang-Yeol. "Numerical approximation of two dimensional singularly perturbed problems." [Bloomington, Ind.] : Indiana University, 2006. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3215193.

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Thesis (Ph.D.)--Indiana University, Dept. of Mathematics, 2006.<br>Source: Dissertation Abstracts International, Volume: 67-04, Section: B, page: 2029. Adviser: Roger Temam. "Title from dissertation home page (viewed June 20, 2007)."

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28

Tarkhanov, Nikolai. "A simple numerical approach to the Riemann hypothesis." Universität Potsdam, 2012. http://opus.kobv.de/ubp/volltexte/2012/5764/.

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The Riemann hypothesis is equivalent to the fact the the reciprocal function 1/zeta (s) extends from the interval (1/2,1) to an analytic function in the quarter-strip 1/2 < Re s < 1 and Im s > 0. Function theory allows one to rewrite the condition of analytic continuability in an elegant form amenable to numerical experiments.

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29

Vompe, Dmitry A. "Numerical modeling of crystal growth in bridgman device /." The Ohio State University, 1997. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487947501136706.

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30

Lindgren, Jonas. "Numerical modelling of district heating networks." Thesis, Umeå universitet, Institutionen för fysik, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-143896.

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District heating is today, in Sweden, the most common method used for heating buildings in cities. More than half of all the buildings, both commercial and residential, are heated using district heating. The load on the district heating networks are affected by, among other things, the time of the day and different external conditions, such as temperature differences. One has to be able to simulate the heat and pressure losses in the network in order to deliver the amount of heat demanded by the customers. Expansions of district heating networks and disrupted pipes also demand good simulations

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31

Trickett, S. A. "The numerical solution of elliptic problems." Thesis, University of Oxford, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.375307.

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32

Zerroukat, Mohamed. "Numerical computation of moving boundary phenomena." Thesis, University of Glasgow, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.285256.

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33

Morgan, Joanne V. "Numerical methods for macroscopic traffic models." Thesis, University of Reading, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.250700.

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34

Linell, Mattias. "Pricing American Put Options using Numerical Methods." Thesis, Uppsala University, Department of Mathematics, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-120038.

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35

Penev, Kalin. "Adaptive search heuristics applied to numerical optimisation." Thesis, Southampton Solent University, 2004. http://ssudl.solent.ac.uk/598/.

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The objective of the research project involves investigation of evolutionary computational methods, in particular analysis of population-based search heuristics, and abstraction of core cognition, which may lead to the design of a novel adaptive search algorithm capable of high performance and reliability. The thesis proposes a novel adaptive heuristic method called Free Search (FS). Free Search can be classified as a population-based evolutionary computational method. It gradually changes a set of solutions until satisfaction of certain criteria. The algorithm operates with real-value numbers

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36

Huang, Yumei. "Numerical methods for image restoration." HKBU Institutional Repository, 2008. http://repository.hkbu.edu.hk/etd_ra/908.

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37

Djambazov, Georgi Stefanov. "Numerical techniques for computational aeroacoustics." Thesis, University of Greenwich, 1998. http://gala.gre.ac.uk/6149/.

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The problem of aerodynamic noise is considered following the Computational Aeroacoustics approach which is based on direct numerical simulation of the sound field. In the region of sound generation, the unsteady airflow is computed separately from the sound using Computational Fluid Dynamics (CFD) codes. Overlapping this region and extending further away is the acoustic domain where the linearised Euler equations governing the sound propagation in moving medium are solved numerically. After considering a finite volume technique of improved accuracy, preference is given to an optimised higher o

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38

Iancu, Aniela Karina. "Numerical methods for pricing basket options." Connect to this title online, 2004. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1078324809.

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Thesis (Ph. D.)--Ohio State University, 2004.<br>Title from first page of PDF file. Document formatted into pages; contains ix, 72 p. : ill. Advisor: Bostwick Wyman, Department of Mathematics. Includes bibliographical references (p. 72).

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39

Rajotte, Matthew. "Stochastic Differential Equations and Numerical Applications." VCU Scholars Compass, 2014. http://scholarscompass.vcu.edu/etd/3383.

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We will explore the topic of stochastic differential equations (SDEs) first by developing a foundation in probability theory and It\^o calculus. Formulas are then derived to simulate these equations analytically as well as numerically. These formulas are then applied to a basic population model as well as a logistic model and the various methods are compared. Finally, we will study a model for low dose anthrax exposure which currently implements a stochastic probabilistic uptake in a deterministic differential equation, and analyze how replacing the probablistic uptake with an SDE alters the d

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40

Kormann, Katharina. "Numerical methods for quantum molecular dynamics." Licentiate thesis, Uppsala : Department of Information Technology, Uppsala University, 2009. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-108366.

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41

Hearn, Tristan A. "Numerical Methods For Ill-Posed Problems With Applications." Kent State University / OhioLINK, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=kent1333415470.

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42

Weber, Benjamin David. "Numerical methods for the wave equation with uncertainty." Thesis, KTH, Numerisk analys, NA, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-254564.

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The problem of uncertainty quantification for the wave equation with random scatterers is explained and motivated. The background of various methods for solving hyperbolic partial differential equations is discussed, and the details of the numerical solution method used are explained. A brief discussion of uncertainty quantification (UQ) is included with a description of three different sampling methods and a precise description of the UQ problem investigated. Numerical results for different families of random scatterers are presented, including regularity tests and convergence analysis of the

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43

Engblom, Stefan. "Numerical methods for the chemical master equation." Licentiate thesis, Uppsala : Univ. : Dept. of Information Technology, Univ, 2006. http://www.it.uu.se/research/publications/lic/2006-007/2006-007.pdf.

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44

Bratsos, A. G. "Numerical solutions of nonlinear partial differential equations." Thesis, Brunel University, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.332806.

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45

Blank, Henrik. "Numerical methods for compressible and incompressible flow." Thesis, University of Oxford, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.300125.

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46

Mahmood, Khalid. "The numerical solution of quadratic matrix equations." Thesis, Loughborough University, 1990. https://dspace.lboro.ac.uk/2134/16687.

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Methods for computing an efficient and accurate numerical solution of the real monic unilateral quadratic matrix equation, are few. They are not guaranteed to work on all problems. One of the methods performs a sequence of Newton iterations until convergence occurs whilst another is a matrix analogy of the scalar polynomial algorithm. The former fails from a poor starting point and the latter fails if no dominant solution exists. A recent approach, the Elimination method, is analysed and shown to work on problems for which other methods fail. . The method requires the coefficients of the chara

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47

Wille, David Richard. "The numerical solution of delay-differential equations." Thesis, University of Manchester, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.291519.

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48

Abdul, Rahman Ali. "On the numerical solution of polynomial equations." Thesis, University of Bradford, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.253327.

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49

Hellier, R. L. "Designing numerical algorithms based on parallel processing." Thesis, University of Kent, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.375054.

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50

Graham, R. K. "Numerical synthesis of dual-reflector antenna systems." Thesis, University of Southampton, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.373929.

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