Relevant bibliographies by topics / MATHEMATICS/ APPLIED MATHEMATICS / Dissertations / Theses
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Dissertations / Theses on the topic 'MATHEMATICS/ APPLIED MATHEMATICS'

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Published: 4 June 2021
Last updated: 4 February 2022

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1

Santos, Josà Adriano Fernandes dos. "Applied mathematics to geography." Universidade Federal do CearÃ, 2016. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=17058.

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Partindo do cenÃrio interdisciplinar em que a MatemÃtica se encontra, este trabalho se resume a apresentar aplicaÃÃes oriundos da Geografia dentro da contextualizaÃÃo matemÃtica. Os PCNâs (1998), documentos que regem a educaÃÃo atual brasileira, deixa clara importÃncia do trabalho interdisciplinar no ensino, bem como a relevÃncia de um ensinamento contextualizado baseado na pratica e vivÃncia histÃrica do homem. Por sua vez, na Geografia foi visto que a cartografia traz contribuiÃÃes relevantes à matemÃtica, e que a trigonometria à uma das ferramentas principais utilizadas nesta conjuntura, ta
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2

May, Andrew. "Nonlinear systems in applied mathematics." Thesis, University of Exeter, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.312068.

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3

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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4

Kliegl, Markus Vinzenz. "Explorations in the mathematics of inviscid incompressible fluids." Thesis, Princeton University, 2016. http://pqdtopen.proquest.com/#viewpdf?dispub=10010743.

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<p> The main subject of this dissertation is smooth incompressible fluids. The emphasis is on the incompressible Euler equations in all of <b>R</b><sup> 2</sup> or <b>R</b><sup>3</sup>, but many of the ideas and results can also be adapted to other hydrodynamic systems, such as the Navier-Stokes or surface quasi-geostrophic (SQG) equations. A second subject is the modeling of moving contact lines and dynamic contact angles in inviscid liquid-vapor-solid systems under surface tension. </p><p> The dissertation is divided into three independent parts: First, we introduce notation and prove usef
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Veprauskas, Amy. "On the dynamic dichotomy between positive equilibria and synchronous 2-cycles in matrix population models." Thesis, The University of Arizona, 2016. http://pqdtopen.proquest.com/#viewpdf?dispub=10124871.

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<p> For matrix population models with nonnegative, irreducible and primitive inherent projection matrices, the stability of the branch of positive equilibria that bifurcates from the extinction equilibrium as the dominant eigenvalue of the inherent projection matrix increases through one is determined by the direction of bifurcation. However, if the inherent projection matrix is imprimitive this bifurcation becomes more complicated. This is the result of the simultaneous departure of multiple eigenvalues from the unit complex circle. Matrix models with imprimitive projection matrices commonly
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6

Youngberg, Jennifer E. "Incorporating Technology in Mathematics Education: A Suite of E-Activities for the Modem Mathematics Classroom." DigitalCommons@USU, 2001. https://digitalcommons.usu.edu/etd/7069.

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National studies indicate major deficiencies in students' understanding of mathematics. Research suggests that students tend to view mathematics as a set of computational rules rather than a process of discovery and a tool for problem-solving. Most students fail to grasp the concepts behind the computations. Technology provides a partial solution to this problem. Over the past decade, computers have emerged as a powerful tool in education. Computers place the control of action in the learning process with the student. They allow students to experiment with, explore, and discover mathematics at
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7

Steingart, Alma. "Conditional inequalities : American pure and applied mathematics, 1940-1975." Thesis, Massachusetts Institute of Technology, 2011. http://hdl.handle.net/1721.1/84367.

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Thesis (Ph. D. in History, Anthropology, and Science, Technology and Society (HASTS))--Massachusetts Institute of Technology, Program in Science, Technology and Society, 2011.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (pages 317-336).<br>This study investigates the status of mathematical knowledge in mid-century America. It is motivated by questions such as: when did mathematical theories become applicable to a wide range of fields from medicine to the social science? How did this change occur? I ask after the implications of this transformation for the de
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8

Jones, Piet. "Structure learning of gene interaction networks." Thesis, Stellenbosch : Stellenbosch University, 2014. http://hdl.handle.net/10019.1/86650.

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Thesis (MSc)--Stellenbosch University, 2014.<br>ENGLISH ABSTRACT: There is an ever increasing wealth of information that is being generated regarding biological systems, in particular information on the interactions and dependencies of genes and their regulatory process. It is thus important to be able to attach functional understanding to this wealth of information. Mathematics can potentially provide the tools needed to generate the necessary abstractions to model the complex system of gene interaction. Here the problem of uncovering gene interactions is cast in several contexts, name
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9

Van, Coller Henry. "A categorical study of compactness via closure." Thesis, Stellenbosch : Stellenbosch University, 2009. http://hdl.handle.net/10019.1/2351.

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Thesis (MSc (Mathemathical Sciences))--Stellenbosch University, 2009.<br>We have the familiar Kuratowski-Mr owka theorem in topology, where compactness is characterised by a closure and a projection-map (X is compact i p : X Y ! Y is a closed mapping, for any space Y , i.e. p(A) = p(A) A X Y ). Using this as our starting point, we generalise compactness to a categorical setting. We then generalise even further to "asymmetric" compactness. Then we discuss a functional approach to compactness, where we do not explicitly mention closure operators. All this provides economical proofs a
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10

Brubaker, Nicholas Denlinger. "Mathematical theory of electro-capillary surfaces." Thesis, University of Delaware, 2013. http://pqdtopen.proquest.com/#viewpdf?dispub=3594897.

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<p> Historically, electrostatic forces and capillary surfaces have been a main focus of scientific inquiry. Recently, with the move towards miniaturization in technology, systems that include the interplay of these two phenomena have become more relevant than ever. This is because at small scales, capillary and electrostatic forces come to dominate familiar macro scale forces and consequently, govern the behavior of many components used in modern technology. In particular, these <i>electro-capillary</i> systems have been applied to areas such self-assembly, &ldquo;lab-on-a-chip&rdquo; devices,
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11

Farnham, Rodrigo Bouchardet. "Processing and inpainting of sparse data as applied to atomic force microscopy imaging." California State University, Long Beach, 2013.

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12

Lim, Kyung-Taek. "The Spherical Mean Value Operators on Euclidean and Hyperbolic Spaces." Tufts University, 2013.

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13

McGregor-Dorsey, Zachary Strider. "Some properties of full heaps." Thesis, University of Colorado at Boulder, 2013. http://pqdtopen.proquest.com/#viewpdf?dispub=3562010.

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<p> A full heap is a labeled infinite partially ordered set with labeling taken from the vertices of an underlying Dynkin diagram, satisfying certain conditions intended to capture the structure of that diagram. The notion of full heaps was introduced by R. Green as an affine extension of the minuscule heaps of J. Stembridge. Both authors applied these constructions to make observations of the Lie algebras associated to the underlying Dynkin diagrams. The main result of this thesis, Theorem 4.7.1, is a complete classification of all full heaps over Dynkin diagrams with a finite number of verti
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14

Rael, Michael Brian. "Results on the Parabolic Anderson Model." Thesis, University of California, Irvine, 2013. http://pqdtopen.proquest.com/#viewpdf?dispub=3562176.

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<p> In this dissertation we present various results pertaining to the Parabolic Anderson Model. First we show that the Lyapunov exponent, &lambda;(&kappa;), of the Parabolic Anderson Model in continuous space with Stratonovich differential is <i>O</i>(&kappa;<sup>1/3</sup>) near 0. We prove the required upper bound, the lower bound having been proven in (Cranston &amp; Mountford 2006). </p><p> Second, we prove the existence of stationary measures for the Parabolic Anderson Model in continuous space with Ito differential. Furthermore, we prove that these measures are associated and determin
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15

Fouts, Kelly Jean. "On a Ring Associated to F[x]." Thesis, Baylor University, 2013. http://pqdtopen.proquest.com/#viewpdf?dispub=3593302.

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<p>For a field <i>F</i> and the polynomial ring <i>F</i> [<i>x</i>] in a single indeterminate, we define [special characters omitted] = {&alpha; &isin; End<i><sub>F</sub></i>(<i>F</i> [x]) : &alpha;(<i>f</i>) &isin; <i>f F</i> [<i>x </i>] for all <i>f</i> &isin; <i>F</i> [<i> x</i>]}. Then [special characters omitted] is naturally isomorphic to <i>F</i> [<i>x</i>] if and only if <i>F</i> is infinite. If <i>F</i> is finite, then [special characters omitted] has cardinality continuum. We study the ring [special characters omitted] for finite fields <i>F.</i> For the case that <i>F </i> is finite
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16

Enos, Graham. "Binary Edwards curves in elliptic curve cryptography." Thesis, The University of North Carolina at Charlotte, 2013. http://pqdtopen.proquest.com/#viewpdf?dispub=3563153.

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<p> Edwards curves are a new normal form for elliptic curves that exhibit some cryptographically desirable properties and advantages over the typical Weierstrass form. Because the group law on an Edwards curve (normal, twisted, or binary) is <i>complete</i> and <i>unified,</i> implementations can be safer from side channel or exceptional procedure attacks. The different types of Edwards provide a better platform for cryptographic primitives, since they have more security built into them from the mathematic foundation up. </p><p> Of the three types of Edwards curves&mdash;original, twisted,
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17

Crowder, Tanner. "Representations of Quantum Channels." Thesis, Howard University, 2013. http://pqdtopen.proquest.com/#viewpdf?dispub=3591941.

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<p>The Bloch representation of an <i>n</i>-qubit channel provides a way to represent quantum channels as certain affine transformations on [special characters omitted]. In higher dimensions (<i>n</i> > 1), the correspondence between quantum channels and their Bloch representations is not well-understood. Partly motivated by the ability to simplify the calculation of information theoretic quantities of a qubit channel using the Bloch representation, in this thesis we investigate the correspondence between a channel and its Bloch representation with an emphasis on <i>unital n</i>-qubit channels,
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18

Lubovsky, Arthur. "Alcove models for Hall-Littlewood polynomials and affine crystals." Thesis, State University of New York at Albany, 2013. http://pqdtopen.proquest.com/#viewpdf?dispub=3594475.

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<p> The alcove model of Cristian Lenart and Alexander Postnikov describes highest weight crystals of semisimple Lie algebras in terms of so-called alcove walks. We present a generalization, called the quantum alcove model, which has been related to tensor products of column shape Kirillov-Reshetikhin crystals, for all untwisted affine types. </p><p> We also investigate Ram's version of Schwer's formula for Hall-Littlewood <i> P</i>-polynomials in type <i>A,</i> which is expressed in terms of the alcove model. We connect it to a formula similar in flavor to the Haglund-Haiman-Loehr formula,
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Lee, Jaepil. "Computation of Floer Invariant of (2; 2n)-Torus link Complement." Thesis, State University of New York at Stony Brook, 2013. http://pqdtopen.proquest.com/#viewpdf?dispub=3596400.

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<p> A closed three manifold invariant Heegaard Floer homology was generalized to bordered Heegaard Floer homology, defined by Robert Lipshitz, Peter Ozsv&aacute;th and Dylan Thurston. Bordered Heegaard Floer homology is an invariant of three manifold with connected boundary, and its variant doubly bordered Floer homology is a bimodule defined on three manifold with two disconnected boundary components. In this thesis, we compute bordered Floer homology of (2,2<i>n</i>)-torus link complement.</p>
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20

Varner, Gregory Alan. "Stochastically Perturbed Navier-Stokes System on the Rotating Sphere." Thesis, University of Missouri - Columbia, 2013. http://pqdtopen.proquest.com/#viewpdf?dispub=3576093.

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<p> We show the existence and uniqueness of an invariant measure for the kick-forced Navier-Stokes system on the 2-dimensional sphere, first without deterministic force and then with a time-independent deterministic force. The existence and uniqueness of an invariant measure for the white noise forced Navier-Stokes system on the 2- dimensional sphere without a deterministic forcing is also shown.</p><p> We examine the support of the invariant measure and give a description of the support of the measure in general, and in several special cases, for the kick-forced flow. The support of the in
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21

Zerihun, Tadesse G. "Nonlinear Techniques for Stochastic Systems of Differential Equations." Scholar Commons, 2013. http://scholarcommons.usf.edu/etd/4970.

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Two of the most well-known nonlinear methods for investigating nonlinear dynamic processes in sciences and engineering are nonlinear variation of constants parameters and comparison method. Knowing the existence of solution process, these methods provide a very powerful tools for investigating variety of problems, for example, qualitative and quantitative properties of solutions, finding error estimates between solution processes of stochastic system and the corresponding nominal system, and inputs for the designing engineering and industrial problems. The aim of this work is to systematical
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22

Megson, Peter. "Experiments on Surfactants and Thin Fluid Films." Scholarship @ Claremont, 2014. http://scholarship.claremont.edu/hmc_theses/64.

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We investigate the spatiotemporal dynamics of a surfactant monolayer on a thin fluid film spreading inward into a region devoid of surfactant, a system motivated by the alveolus of the human lung. We perform experiments that simultaneously measure the fluid height profile and the fluorescence intensity due to our fluorescent surfactant, NBD-PC. We perform experiments on both a Newtonian layer of glycerol and a shear-thinning fluid layer consisting of xanthan gum mixed with glycerol. We can very successfully extract height profiles on the xanthan gum fluid, although the simultaneous measurement
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23

Yek, Vorleak. "Numerical Investigation on the Projection Method for the Incompressible Navier-Stokes Equations on MAC Grid." Thesis, California State University, Long Beach, 2018. http://pqdtopen.proquest.com/#viewpdf?dispub=10825591.

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<p> The motion of a viscous fluid flow is described by the well-known Navier-Stokes equations. The Navier-Stokes equations contain the conservation laws of mass and momentum, and describe the spatial-temporal change of the fluid velocity field. This thesis aims to investigate numerical solvers for the incompressible Navier-Stokes equations in two and three space dimensions. In particular, we focus on the second-order projection method introduced by Kim and Moin, which was extended from Chorin&rsquo;s first-order projection method. We apply Fourier-Spectral methods for the periodic boundary con
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24

Oliver, Graeme John. "Modelling of welding with various constitutive models for steel." Master's thesis, University of Cape Town, 1994. http://hdl.handle.net/11427/17443.

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Bibliography: pages 102-106.<br>This dissertation is an attempt at the quality analysis of constitutive modelling of welding as a coupled thermo-mechanical or thermo-mechanical-metallurgical problem. Three types of inelastic theories of continua: unified viscoplasticity based on dislocation density theory, unified viscoplasticity based on potential theory, and transformation induced plasticity have been chosen for quantitative investigation. Material models proposed by Anand, Estrin and Mecking, Estrin, Robinson, and Leblond et.al. have been implemented into the finite element program ABAQUS.
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25

Breitsch, Nathan W. "Techniques for the Study of Biological Coupled Oscillator Systems." Ohio University Honors Tutorial College / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=ouhonors1399892563.

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26

Alsenafi, Abdulaziz. "Segregation Dynamics Motivated by Territorial Markings:The Transition from a Particle to a Continuum Model." Case Western Reserve University School of Graduate Studies / OhioLINK, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=case1467727114.

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27

Woodward, III Robert Bruce. "Quantifying Cultural Changes Through A Half-Century Of Song Lyrics And Books." ScholarWorks @ UVM, 2016. http://scholarworks.uvm.edu/graddis/631.

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Music is an ever-changing cultural reflection. It is deeply integrated into our society, ubiquitous in movies, television shows, restaurants, sport venues, churches and a plethora of other places. This thesis proposes that we consider the lyrics in popular music, as determined by Billboards Hot 100 chart, as a natural medium to analyze the changes in culture over the past half-century. Using this collection of lyrics, we analyze the change in relative frequency of individual words over time, and compare to works of literature. Furthermore, we use the ranking in the Top 100 as a metric with whi
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Labra, Bahena Luis R. "Multilevel Solution of the Discrete Screened Poisson Equation for Graph Partitioning." Thesis, California State University, Long Beach, 2017. http://pqdtopen.proquest.com/#viewpdf?dispub=10638940.

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<p> A new graph partitioning algorithm which makes use of a novel objective function and seeding strategy, Product Cut, frequently outperforms standard clustering methods. The solution strategy on solving this objective depends on developing a fast solution method for the systems of graph--based analogues of the screened Poisson equation, which is a well-studied problem in the special case of structured graphs arising from PDE discretization. </p><p> In this work, we attempt to improve the powerful Algebraic Multigrid (AMG) method and build upon the recently introduced Product Cut algorithm.
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Gould, Andrew James. "God's Number in the Simultaneously-Possible Turn Metric." Thesis, The University of Wisconsin - Milwaukee, 2018. http://pqdtopen.proquest.com/#viewpdf?dispub=10686488.

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<p> In 2010 it was found that God&rsquo;s number is 20 in the face turn metric. That is, if the Rubik&rsquo;s cube hasn&rsquo;t been disassembled, it can always be solved in 20 twists or fewer, but sometimes requires 20 twists. However, the face turn metric only allows one face to be turned at a time for a total of 18 generators, or 18 possible twists at any time. This dissertation allows opposing, parallel faces to be twisted independent amounts at the same time and still get counted as 1 twist for a total of 45 generators. A new optimal-solving program was constructed, and the results so far
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30

Polk, Jada Philous. "On the estimation of the black-capped vireo (Vireo atricapillus) territory density using geographic information systems technology." DigitalCommons@Robert W. Woodruff Library, Atlanta University Center, 1996. http://digitalcommons.auctr.edu/dissertations/2581.

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This study is based on a 1994 survey of the nesting and territory preferences of the black-capped vireo, a small migratory songbird, within Fort Hood, Texas. By Federal Government Order 51 FR 44808-44812 of 1987 (Tazik et al., 1992), these birds were declared an endangered species based on a series of studies by J. D. Cornelius in 1985 and 1986 (Tazik et al., 1993). In this study, it has been shown that the vireo nesting and territory preferences are not uniform across Fort Hood installation grounds, rather the preference is towards the north to northwest. The vegetation in this region consist
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31

Zhong, Ming. "Hierarchical Reconstruction Method for Solving Ill-posed Linear Inverse Problems." Thesis, University of Maryland, College Park, 2016. http://pqdtopen.proquest.com/#viewpdf?dispub=10128674.

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<p> We present a detailed analysis of the application of a multi-scale Hierarchical Reconstruction method for solving a family of ill-posed linear inverse problems. When the observations on the unknown quantity of interest and the observation operators are known, these inverse problems are concerned with the recovery of the unknown from its observations. Although the observation operators we consider are linear, they are inevitably ill-posed in various ways. We recall in this context the classical Tikhonov regularization method with a stabilizing function which targets the specific ill-posedne
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32

Sambandham, Bhuvaneswari. "Analysis of Sequential Caputo Fractional Differential Equations with Applications." Thesis, University of Louisiana at Lafayette, 2016. http://pqdtopen.proquest.com/#viewpdf?dispub=10163318.

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<p> The solution for sequential Caputo linear fractional differential equations with variable coefficients of order q, 0 &lt; q &lt; 1 can be obtained from symbolic representation form. Since the iterative method developed in Chapter 2 is time-consuming even for the simple linear fractional differential equations with variable coefficients, the direct numerical approximation developed in Chapter 3 is very useful tool when computing the linear and non-linear fractional differential equations of a specific type. This direct numerical method is useful in developing the monotone method and the qua
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33

Piper, Steven Edward. "Mathematical demography of the Cape vulture." Doctoral thesis, University of Cape Town, 1994. http://hdl.handle.net/11427/19843.

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The Cape Vulture Gyps coprotheres is one of the world's largest avian scavengers and was once widely distributed in southern Africa, to which it is endemic. It has suffered major changes of fortune in recorded history and has, at least twice, undergone large range contractions and expansions in the Cape Province. It has variously been classified as 'rare', 'vulnerable' or 'threatened'. It is currently thought, by some, to be in decline. The central aim of these researches is to answer the 'Grand Question': What
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Muchatibaya, Gift. "Mathematical modelling of unsteady contact melting." Doctoral thesis, University of Cape Town, 2008. http://hdl.handle.net/11427/4912.

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Includes abstract.<br>Includes bibliographical references (leaves 115-122).<br>The work in this thesis deals with the heat transfer and fluid flow problem encountered in the analysis of an unsteady contact melting process. Chapters 2 and 3 deal with only the heat transfer problem without fluid flow. In Chapter 2 the pre-melting problem is treated. The focus is to obtain the best approximate analytical solution to be used in the melting phase where there are no known exact solutions. The approximate solutions are constructed using the heat balance integral method.
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Hershberger, Geoffrey D. "APPLIED TEMPERAMENT." UKnowledge, 2018. https://uknowledge.uky.edu/music_etds/126.

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The following document was created in order to promote intonation consensus in ensembles and to better facilitate learning in educational settings. Non-keyboard instruments provide musicians an opportunity to make nearly infinitesimal adjustments to pitch while performing; this creates difficulties for students and challenges even the most seasoned professionals. Non-keyboard musicians struggle their whole lives to play in tune, and even when one knows exactly where they want to place a pitch, technical difficulties can foul any musician's performance. When performing solo, the musician must c
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Gomez, Austin G. "Invisibility: A Mathematical Perspective." Scholarship @ Claremont, 2013. http://scholarship.claremont.edu/cmc_theses/698.

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The concept of rendering an object invisible, once considered unfathomable, can now be deemed achievable using artificial metamaterials. The ability for these advanced structures to refract waves in the negative direction has sparked creativity for future applications. Manipulating electromagnetic waves of all frequencies around an object requires precise and unique parameters, which are calculated from various mathemat- ical laws and equations. We explore the possible interpretations of these parameters and how they are implemented towards the construction of a suitable metamaterial. If carri
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Sehgal, Nidhi. "Cycle Systems." Auburn University, 2013.

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Malosha, Peter. "PRICING AN AMERICAN CALL ON DEVIDEND PAYING STOCK." Thesis, Mälardalen University, Department of Mathematics and Physics, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-475.

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<p>Abstract</p><p>The aim of this paper is to implement and create a Java applet that performs the simulation of Fu and Hu model .The graphical result is presented on how investor can handle an American call option with discrete dividends paying stock. The technical of stochastic approximation algorithm is used to obtain the gradient, step size and observation length. The thesis is based on Fu and Hu model (2005).</p>
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Rasolofoson, Faraniaina. "A comparative study on the impact of different fluxes in a discontinuous Galerkin scheme for the 2D shallow water equations." Thesis, Stellenbosch : Stellenbosch University, 2014. http://hdl.handle.net/10019.1/86610.

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Thesis (MSc)--Stellenbosch University, 2014.<br>ENGLISH ABSTRACT: Shallow water equations (SWEs) are a set of hyperbolic partial differential equations that describe the flow below a pressure surface in a fluid. They are widely applicable in the domain of fluid dynamics. To meet the needs of engineers working on the area of fluid dynamics, a method known as spectral/hp element method has been developed which is a scheme that can be used with complicated geometry. The use of discontinuous Galerkin (DG) discretisation permits discontinuity of the numerical solution to exist at inter-elemen
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Müller, Andrea. "Humpback whales, rock lobsters and mathematics : exploration of assessment models incorporating stock-structure." Master's thesis, University of Cape Town, 2011. http://hdl.handle.net/11427/11342.

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This thesis presents four marine resource assessments; three concern the Southern Hemisphere (SH) humpback whale (Megaptera novaeangliae) and one the South African east coast rock lobster Palinurus delagoae. It also sets out the statistical background to the methodology employed in the assessments, including an outline of the Bayesian approach, Bayes' theorem, and the sampling-importance re-sampling (SIR) as well as the Markov Chain Monte Carlo (MCMC) methods.
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Parsons, R. W. "Mathematical models of chemical reactions." Thesis, Bucks New University, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.371228.

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Lookabill, Kerri Colleen. "A descriptive study of the impact of planning time on the utilization o fthe national council of teachers of mathematics process standards within the algebra 1 and applied mathematics subhect fields." [Huntington, WV : Marshall University Libraries], 2008. http://www.marshall.edu/etd/descript.asp?ref=.

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Shoemaker, Katherine L. Shoemaker. "The Mathematical Modeling of Magnetostriction." Bowling Green State University / OhioLINK, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1522694644858063.

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Xiros, Nikolaos I. "Mathematical Formulation of Fusion Energy Magnetohydrodynamics." ScholarWorks@UNO, 2017. https://scholarworks.uno.edu/td/2438.

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Chapter 1 presents the basic principles of Controlled Thermonuclear Fusion, and the approaches to achieve nuclear fusion on Earth. Furthermore, the basic components of the Tokamak, the reactor which will house the fusion reaction, are analyzed. Finally, the chapter ends with a discussion on how the present thesis is related to the Controlled Thermonuclear Fusion. Chapter 2 introduces briefly the basic concepts of the Electromagnetic and Magnetohydrodynamic theories as well as MHD turbulence. Chapter 3 presents a first glance in OpenFOAM CFD library. Chapter 4 introduces the Orszag-Tang vortex
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Stipp, Eugene Heinz. "Bounds for Ramsey numbers in multipartite graphs." Thesis, Stellenbosch : Stellenbosch University, 2000. http://hdl.handle.net/10019.1/51640.

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Thesis (MSc.)--University of Stellenbosch, 2000.<br>ENGLISH ABSTRACT: The notion of a classical graph theoretic Ramsey number is generalized by assuming that both the original graph whose edges are arbitrarily bicoloured and the monochromatic subgraphs to be forced are complete, balanced, multipartite graphs, instead of complete graphs as in the standard definition. Some small multipartite Ramsey numbers are found, while upper- and lower bounds are established for others. Analytic arguments as well as computer searches are used.<br>AFRIKAANSE OPSOMMING: Die klassieke grafiek-teoretiese de
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Taylor-King, Jake Patrick. "An interacting particle approach to problems in cancer : osteocyte network formation and histology analysis." Thesis, University of Oxford, 2017. https://ora.ox.ac.uk/objects/uuid:030b64bd-0379-419e-91ab-7231c87a59b7.

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Two important factors in cancer progression are: metastatic ability, cancer spreading and disrupting healthy function of bodily processes; and heterogeneity, the variation in different cancers caused by genetics, the microenvironment, and stochasticity. In this thesis, we investigate two scenarios of interest using models and techniques inspired by interacting particle systems. First, we model osteocyte network formation. Within bone, dendritic osteocytes form a spatial network allowing communication between osteocytes and osteoblasts located on the bone surface. This communication network fac
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Brakel, Thomas W. "Mathematical modelling of the Czochralski crystal growth process." Doctoral thesis, University of Cape Town, 2006. http://hdl.handle.net/11427/4868.

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Includes bibliographical references (leaves 142-149).<br>In this document a mathematical model for the Czochralski crystal growth process is developed. The trend in current research involves developing cumbersome numerical simulations that provide little or no understanding of the underlying physics. We attempt to review previous research methods, mainly devoted to silicon, and develop a novel analytical tool for indium antimonide (lnSb) crystal growth. This process can be subdivided into two categories: solidification and fluid mechanics. Thus far, crystal solidification of the Czochralski pr
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Raissi, Maziar. "Multi-fidelity Stochastic Collocation." Thesis, George Mason University, 2013. http://pqdtopen.proquest.com/#viewpdf?dispub=3591697.

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<p> Over the last few years there have been dramatic advances in our understanding of mathematical and computational models of complex systems in the presence of uncertainty. This has led to a growth in the area of uncertainty quantification as well as the need to develop efficient, scalable, stable and convergent computational methods for solving differential equations with random inputs. Stochastic Galerkin methods based on polynomial chaos expansions have shown superiority to other non-sampling and many sampling techniques. However, for complicated governing equations numerical implementati
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Howard, Marylesa Marie. "Computational methods for support vector machine classification and large-scale Kalman filtering." Thesis, University of Montana, 2013. http://pqdtopen.proquest.com/#viewpdf?dispub=3568109.

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<p> The first half of this dissertation focuses on computational methods for solving the constrained quadratic program (QP) within the support vector machine (SVM) classifier. One of the SVM formulations requires the solution of bound and equality constrained QPs. We begin by describing an augmented Lagrangian approach which incorporates the equality constraint into the objective function, resulting in a bound constrained QP. Furthermore, all constraints may be incorporated into the objective function to yield an unconstrained quadratic program, allowing us to apply the conjugate gradient (CG)
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Harris, Matthew W. "Numerical realization of the generalized Carrier-Greenspan transform for the shallow water wave equations." Thesis, University of Alaska Fairbanks, 2015. http://pqdtopen.proquest.com/#viewpdf?dispub=1598961.

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<p> Run-up of long waves in sloping U-shaped bays is studied analytically in the framework of the 1-D nonlinear shallow-water theory. By assuming that the wave flow is uniform along the cross-section, the 2-D nonlinear shallow-water equations are reduced to a linear semi-axis variable-coefficient 1-D wave equation via the generalized Carrier-Greenspan transformation (Rybkin et al., 2014). A spectral solution is developed by solving the linear semiaxis variable-coefficient 1-D equation via separation of variables and then applying the inverse Carrier-Greenspan transform. To compute the run-up o
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