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Dissertations / Theses on the topic 'Spectral solution'

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Published: 2 June 2025
Last updated: 31 July 2025

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1

René, Alexandre. "Spectral Solution Method for Distributed Delay Stochastic Differential Equations." Thesis, Université d'Ottawa / University of Ottawa, 2016. http://hdl.handle.net/10393/34327.

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Stochastic delay differential equations naturally arise in models of complex natural phenomena, yet continue to resist efforts to find analytical solutions to them: general solutions are limited to linear systems with additive noise and a single delayed term. In this work we solve the case of distributed delays in linear systems with additive noise. Key to our solution is the development of a consistent interpretation for integrals over stochastic variables, obtained by means of a virtual discretization procedure. This procedure makes no assumption on the form of noise, and would likely be use
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2

Sizov, Grigory Alekseevich. "Solution of spectral problem in planar supersymmetric gauge theories." Thesis, King's College London (University of London), 2016. http://kclpure.kcl.ac.uk/portal/en/theses/solution-of-spectral-problem-in-planar-supersymmetric-gauge-theories(f26c9311-8d86-41ab-b934-3ab0323a05cb).html.

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Supersymmetric gauge theories are among the most important objects of study in modern theoretical physics. They are considered as more symmetric versions of gauge theories describing the real world and are often dual to string theories in curved backgrounds. In planar limit some supersymmetric gauge theories | N = 4 SYM and ABJM theory among them | manifest integrability, a property which might allow to solve them exactly. In this thesis we discuss application of integrability methods to spectral problems in supersymmetric gauge theories. Our main topic is the Quantum Spectral Curve (QSC) meth
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3

Al-Naggar, Ibtesam M. Abu-Sulayman. "Asymptotics for the solution of the Schrödinger equation". Thesis, University of Hull, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.262439.

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4

Vargas, German A. "Spectral methods solution of the Navier-Stokes equations for steady viscous flows." Diss., Wichita State University, 2009. http://hdl.handle.net/10057/2376.

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A combination of Spectral Methods and Finite Differences will be used to solve the Navier-Stokes equations for a viscous flow past a circular cylinder and past symmetric Joukowski airfoils. Different discretizations of the physical problem will be explored, and the solution of the equations will be analyzed for different geometries and boundary conditions. This project is the continuation of our research started as a Master Thesis at Wichita State University under the advising of Professor Alan Elcrat; the project is a deep exploration of the solution of Navier-Stokes equations by implementing
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5

Malek, Alaeddin. "Numerical spectral solution of elliptic partial differential equations using domain decomposition techniques." Thesis, Cardiff University, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.241798.

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6

Eldred, Lloyd B. "Solution of non-linear partial differential equations with the Chebyshev Spectral method." Thesis, Virginia Tech, 1989. http://hdl.handle.net/10919/45953.

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<p>The Spectral method is a powerful numerical technique for solving engineering differential equations. The method is a specialization of the method of weighted residuals. Trial functions that are easily and exactly differentiable are used. Often the functions used also satisfy an orthogonality equation, which can improve the efficiency of the approximation. Generally, the entire domain is modeled, but multiple sub-domains may be used.</p> <p> A Chebyshev-Collocation Spectral method is used to solve a variety of ordinary and partial differential equations. The Chebyshev Polynomial serie
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7

Le, Coz Yannick L. "Semiconductor device simulation : a spectral method for solution of the Boltzmann transport equation." Thesis, Massachusetts Institute of Technology, 1988. http://hdl.handle.net/1721.1/14482.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1988.<br>Title as it appeared in M.I.T. Graduate List, February 1988: Simulation of semiconductor devices : a spectral method for solution of the Boltzmann transport equation.<br>Includes bibliographical references (leaves 193-195).<br>by Yannick L. Le Coz.<br>Ph.D.
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8

Laird, Alistair. "A hybrid spectral discretisation and iterative solution methods for acoustic models in potential flow." Thesis, University of Oxford, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.403764.

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9

Saravi, Masoud. "Numerical solution of linear ordinary differential equations and differential-algebraic equations by spectral methods." Thesis, Open University, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.446280.

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This thesis involves the implementation of spectral methods, for numerical solution of linear Ordinary Differential Equations (ODEs) and linear Differential-Algebraic Equations (DAEs). First we consider ODEs with some ordinary problems, and then, focus on those problems in which the solution function or some coefficient functions have singularities. Then, by expressing weak and strong aspects of spectral methods to solve these kinds of problems, a modified pseudospectral method which is more efficient than other spectral methods is suggested and tested on some examples. We extend the pseudo-sp
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10

Davies, Richard Wyn. "A hybrid spectral element method for the time domain solution of wave scattering problems." Thesis, Swansea University, 2007. https://cronfa.swan.ac.uk/Record/cronfa42272.

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This thesis considers the development and analysis of a hybrid spectral element method for the solution of two-dimensional wave scattering problems in the time domain. The components, namely a quadrilateral formulation of the diagonal mass matrix spectral element method and a triangular formulation of the spectral discontinuous Galerkin finite element method, are introduced and tested separately before being coupled to form the final hybrid procedure. Subsequently, a simple circular scattering problem is analysed to validate the computational model and various methods of curved boundary repres
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11

Lee, Jong-eao John. "The inverse spectral solution, modulation theory and linearized stability analysis of N-phase, quasi-periodic solutions of the nonlinear Schrodinger equation /." The Ohio State University, 1986. http://rave.ohiolink.edu/etdc/view?acc_num=osu148726601122429.

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12

Fischer, Paul Frederick. "Spectral element solution of the Navier-Stokes equations on high performance distributed-memory parallel processors." Thesis, Massachusetts Institute of Technology, 1989. http://hdl.handle.net/1721.1/14527.

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13

Couzy, Wouter. "Spectral element discretization of the unsteady Navier-Stokes equations and its iterative solution on parallel computers /." [S.l.] : [s.n.], 1995. http://library.epfl.ch/theses/?nr=1380.

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14

Maral, Tugrul. "Spectral (h-p) Element Methods Approach To The Solution Of Poisson And Helmholtz Equations Using Matlab." Master's thesis, METU, 2006. http://etd.lib.metu.edu.tr/upload/3/12607945/index.pdf.

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A spectral element solver program using MATLAB is written for the solution of Poisson and Helmholtz equations. The accuracy of spectral methods (p-type high order) and the geometric flexibility of the low-order h-type finite elements are combined in spectral element methods. Rectangular elements are used to solve Poisson and Helmholtz equations with Dirichlet and Neumann boundary conditions which are homogeneous or non homogeneous. Robin (mixed) boundary conditions are also implemented. Poisson equation is also solved by discretising the domain with curvilinear quadrilateral elements so that
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15

Engblom, Stefan. "Numerical Solution Methods in Stochastic Chemical Kinetics." Doctoral thesis, Uppsala universitet, Avdelningen för teknisk databehandling, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-9342.

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This study is concerned with the numerical solution of certain stochastic models of chemical reactions. Such descriptions have been shown to be useful tools when studying biochemical processes inside living cells where classical deterministic rate equations fail to reproduce actual behavior. The main contribution of this thesis lies in its theoretical and practical investigation of different methods for obtaining numerical solutions to such descriptions. In a preliminary study, a simple but often quite effective approach to the moment closure problem is examined. A more advanced program is the
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16

Hussain, Muhammad Anwar. "Numerical Solution of a Nonlinear Inverse Heat Conduction Problem." Thesis, Linköping University, Linköping University, Department of Mathematics, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-57486.

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<p> The inverse heat conduction problem also frequently referred as the sideways heat equation, in short SHE, is considered as a mathematical model for a real application, where it is desirable for someone to determine the temperature on the surface of a body. Since the surface itself is inaccessible for measurements, one is restricted to use temperature data from the interior measurements. From a  mathematical point of view, the entire situation leads to a non-characteristic Cauchy problem, where by using recorded temperature one can solve a well-posed nonlinear problem in the finite region f
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17

Meadows, Eddie M., and Terrance J. Hill. "THE FLEXIBLE INTEROPERABLE TRANSCEIVER DATA LINK STANDARD - A SOLUTION FOR INTEROPERABILITY AND SPECTRAL EFFICIENCY FOR THE T&E AND TRAINING RANGES." International Foundation for Telemetering, 2001. http://hdl.handle.net/10150/606445.

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International Telemetering Conference Proceedings / October 22-25, 2001 / Riviera Hotel and Convention Center, Las Vegas, Nevada<br>The greatest threat to the DOD Test and Training Test Centers is the loss of the Radio Frequency (RF) spectrum used in transmitting digital data generated by the test instrumentation during the evaluation of weapon systems. The T&E ranges use the RF spectrum for data generated by status reporting, GPS/TSPI, telemetry, target control, range safety, situational awareness, video, voice communication, etc. In the past the ranges developed their data links independ
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18

Zou, Qinmeng. "Iterative methods with retards for the solution of large-scale linear systems." Thesis, Université Paris-Saclay (ComUE), 2019. http://www.theses.fr/2019SACLC042.

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Toute perturbation dans les systèmes linéaires peut gravement dégrader la performance des méthodes itératives lorsque les directions conjuguées sont constituées. Ce problème peut être partiellement résolu par les méthodes du gradient à retards, qui ne garantissent pas la descente de la fonction quadratique, mais peuvent améliorer la convergence par rapport aux méthodes traditionnelles. Les travaux ultérieurs se sont concentrés sur les méthodes du gradient alternées avec deux ou plusieurs types de pas afin d'interrompre le zigzag. Des papiers récents ont suggéré que la révélation d'information
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19

Marshall, Lisa Faye. "Spectral dynamics of single quantum dots : a study using photon-correlation Fourier spectroscopy for submillisecond time resolution at low temperature and in solution." Thesis, Massachusetts Institute of Technology, 2011. http://hdl.handle.net/1721.1/62613.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Chemistry, 2011.<br>This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.<br>Cataloged from student submitted PDF version of thesis.<br>Includes bibliographical references (p. 121-127).<br>Conventional single-molecule fluorescence spectroscopy is limited in temporal resolution by the need to collect enough photons to measure a spectrum, in frequency resolution by the dispersing power of the spectrometer, and by environmental conditions by
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20

Cayan, Fatma Nihan. "The Method Of Lines Solution Of Discrete Ordinates Method For Nongray Media." Master's thesis, METU, 2006. http://etd.lib.metu.edu.tr/upload/3/12607401/index.pdf.

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A radiation code based on method of lines (MOL) solution of discrete ordinates method (DOM) for the prediction of radiative heat transfer in nongray absorbing-emitting media was developed by incorporation of two different gas spectral radiative property models, namely wide band correlated-k (WBCK) and spectral line-based weighted sum of gray gases (SLW) models. Predictive accuracy and computational efficiency of the developed code were assessed by applying it to the predictions of source term distributions and net wall radiative heat fluxes in several one- and two-dimensional test problems inc
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21

Fahs, Amin. "Modeling of naturel convection in porous media : development of semi-analytical and spectral numerical solutions of heat transfer problem in special domains." Thesis, Strasbourg, 2021. https://publication-theses.unistra.fr/restreint/theses_doctorat/2021/Fahs_Amin_2021_ED269.pdf.

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Le problème de la cavité poreuse carrée est largement utilisé comme cas de référence courant pour les problèmes de Convection Naturelle (CN) en milieux poreux. Il peut être utilisé pour plusieurs applications numériques, théoriques et pratiques. Par ailleurs, toutes les solutions de haute précision existantes dans la littérature scientifique sont développées dans des conditions de régime permanent. Cependant, il est bien connu que les processus de CN dans les milieux poreux se produisent naturellement dans un régime dépendant du temps, car les conditions aux limites peuvent être variables dans
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22

RONCALLO, LUCA. "Evolutionary spectral model for thunderstorm outflows and application to the analysis of the dynamic response of structures." Doctoral thesis, Università degli studi di Genova, 2022. http://hdl.handle.net/11567/1080956.

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Thunderstorms are destructive phenomena at the mesoscale with extension of few kilometres and short duration, potentially dangerous for mid-low structures. The nonstationary nature of the wind field generated by thunderstorm outflows makes most of the theory and models developed for extra-tropical cyclones unsuitable and their small extension make them difficult to be detected by one single anemometer. These circumstances prevent the collection of precious data over which research can be carried out and the development of robust models for rapid engineering calculations shared by the scientifi
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23

Wang, Siqi. "NONINVASIVE ASSESSMENT AND MODELING OF DIABETIC CARDIOVASCULAR AUTONOMIC NEUROPATHY." UKnowledge, 2012. http://uknowledge.uky.edu/cbme_etds/5.

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Noninvasive assessment of diabetic cardiovascular autonomic neuropathy (AN): Cardiac and vascular dysfunctions resulting from AN are complications of diabetes, often undiagnosed. Our objectives were to: 1) determine sympathetic and parasympathetic components of compromised blood pressure regulation in patients with polyneuropathy, and 2) rank noninvasive indexes for their sensitivity in diagnosing AN. Continuous 12-lead electrocardiography (ECG), blood pressure (BP), respiration, regional blood flow and bio-impedance were recorded from 12 able-bodied subjects (AB), 7 diabetics without (D0), 7
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24

Nilsson, Carl-Magnus. "Waveguide Finite Elements Applied on a Car Tyre." Doctoral thesis, KTH, Aeronautical and Vehicle Engineering, 2004. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-3812.

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<p>Structures acting as waveguides are quite common withexamples being, construction beams, fluid filled pipes, railsand extruded aluminium profiles. Curved structures like cartyres and pipe-bends may also be considered as waveguides. Wavesolutions in such structures may be found by a method calledthe Waveguide Finite Element Method or WFEM. This method uses afinite element approach on the cross-section of a waveguide tomodel the vibro-acoustic response as a set of linear, coupled,one dimensional, wave-equations.</p><p>In this thesis six novel waveguide finite elements arederived and validated
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25

Foucat, Loïc. "Etude par rmn de la dynamique rotationnelle du malononitrile." Paris 6, 1987. http://www.theses.fr/1987PA066377.

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Etude de cette molecule de type rotateur asymetrique en solution dans ch::(2)cl::(2), tetrahydrofurane et diglyne. A l'aide de la theorie de la "relaxation couplee" determination des valeurs des trois constantes de diffusion du solute et des densites spectrales relatives aux mecanismes de relaxation dipole-dipole, intra-et intermoleculaire. Etude de l'influence du taux de deuteriation du solvant sur la relaxation du solute dans le cas de ch::(2)cl::(2). Ecart des densites spectrales par rapport aux previsions theoriques. Test de la validite de plusieurs modeles hydrodynamiques: celui de knauss
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26

Kim, Grace Chunhae 1959. "THE NATURE OF ELEMENTAL MERCURY IN SOLUTION." Thesis, The University of Arizona, 1986. http://hdl.handle.net/10150/275511.

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27

Chang, Xiaojun. "Spectral and Physicochemical Characteristics of nC60 in Aqueous Solutions." Diss., Virginia Tech, 2011. http://hdl.handle.net/10919/77152.

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Despite its extremely low solubility in water, fullerite C₆₀ can form colloidally stable aqueous suspensions containing nanoscale C₆₀ particles (nC₆₀) when it is subject to contact with water. nC₆₀ is the primary fullerene form following its release to the environment. The aim of the present study was to provide fundamental insights into the properties and environmental impacts of nC₆₀. nC₆₀ suspensions containing negatively charged and heterogeneous nanoparticles were produced via extended mixing in the presence and absence of citrate and other carboxylates. These low-molecular weight acids w
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28

Weth, Tobias. "Spectral and variational characterizations of solutions to semilinear eigenvalue problems." [S.l. : s.n.], 2001. http://ArchiMeD.uni-mainz.de/pub/2002/0011/diss.pdf.

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29

Davidsen, Stein-Olav Hagen. "Nonlinear integro-differential Equations : Numerical Solutions by using Spectral Methods." Thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for matematiske fag, 2013. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-22682.

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This article deals with numerical solutions of nonlinear integro-differential convection-diffusion equations using spectral methods. More specifically, the spectral vanishing viscosity method is introduced and analyzed to show that its family of numerical solutions is compact, and that its solutions converge to the vanishing viscosity solutions. The method is implemented in code, and numerical results including qualitative plots and convergence estimates are given. The article concludes with a discussion of some important implementation concerns and recommendations for further work related to
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30

Le, Thi Chung [Verfasser]. "Improving spectral efficiency using hybrid system solutions / Chung Le Thi." Hannover : Gottfried Wilhelm Leibniz Universität Hannover, 2019. http://d-nb.info/1188406493/34.

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31

Eadon, D. G. "The visible absorption spectra of colloidal metal dispersions." Thesis, University of Kent, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.382154.

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32

Koutoumbas, Anastasios M. "Bidirectional and unidirectional spectral representations for the scalar wave equation." Thesis, Virginia Tech, 1990. http://hdl.handle.net/10919/41904.

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<p>The Cauchy problem associated with the scalar wave equation in free space is used as a vehicle for a critical examination and assessment of the bidirectional and unidirectional spectral representations. These two novel methods for synthesizing wave signals are distinct from the superposition principle underlying the conventional Fourier method and they can effectively be used to derive a large class of localized solutions to the scalar wave equation. The bidirectional spectral representation is presented as an extension of Brittingham's ansatz and Ziolkowski's Focus Wave Mode spectral repre
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33

Bartholomew, Richard J. "Raman spectral studies of solutions of formic acid and methyl formate." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1996. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/nq21409.pdf.

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34

Bilodeau, Bernard. "Accuracy of a truncated barotropic spectral model : numerical versus analytical solutions." Thesis, McGill University, 1985. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=66037.

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35

Painter, Michael K., Ronald Fernandes, Kalyan Vadakkeveedu, and Charles H. Jones. "Candidate Spectrum Assignment Manager (SAM) Solution Concepts and Challenges." International Foundation for Telemetering, 2011. http://hdl.handle.net/10150/595759.

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ITC/USA 2011 Conference Proceedings / The Forty-Seventh Annual International Telemetering Conference and Technical Exhibition / October 24-27, 2011 / Bally's Las Vegas, Las Vegas, Nevada<br>Current real-time data communications links supporting Major Range and Test Facility Base (MRTFB) operations are one-way, dedicated links based on the IRIG 106 standard. One of the goals of the iNET program is to provide for shared, two-way networked communications links enabling more flexible operation and more efficient use of spectrum. Central to this goal is the provision for a Spectrum Assignment Manag
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36

Mohamed, Nurul Akmal. "Numerical solution and spectrum of boundary-domain integral equations." Thesis, Brunel University, 2013. http://bura.brunel.ac.uk/handle/2438/7592.

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A numerical implementation of the direct Boundary-Domain Integral Equation (BDIE)/ Boundary-Domain Integro-Differential Equations (BDIDEs) and Localized Boundary-Domain Integral Equation (LBDIE)/Localized Boundary-Domain Integro-Differential Equations (LBDIDEs) related to the Neumann and Dirichlet boundary value problem for a scalar elliptic PDE with variable coefficient is discussed in this thesis. The BDIE and LBDIE related to Neumann problem are reduced to a uniquely solvable one by adding an appropriate perturbation operator. The mesh-based discretisation of the BDIE/BDIDEs and LBDIE/LBDID
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37

Abkhalimov, E. V., R. D. Solovov, and B. G. Ershov. "Composite Ag-Pt Nanoparticles in Aqueous Solution." Thesis, Sumy State University, 2012. http://essuir.sumdu.edu.ua/handle/123456789/35033.

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It is shown that the saturation of an aqueous solution containing K2PtCl4 with hydrogen in the presence of 6.3 nm silver nanoparticles leads to the reduction of platinum on the silver surface and the formation of Ag/Pt core-shell nanoparticles. The Ag:Pt molar ratio is varied from 9:1 to 1:9 for synthesizing Pt shell layer of different thickness. An apparent shift of Ag surface plasmon band from 405 nm to 230 nm and broadening of one with decrease of Ag:Pt ratio was observed. The TEM images and SAED pattern of Pt@Ag nanoparticles has been obtained. The UV-Vis and TEM data confirms a form
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38

Pinelli, Alfredo. "Preconditioned parallel algorithms and spectral solutions for the incompressible navier-stokes equations /." [S.l.] : [s.n.], 1995. http://library.epfl.ch/theses/?nr=1305.

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Tee, Teik Wynn. "An adaptive rational spectral method for differential equations with rapidly varying solutions." Thesis, University of Oxford, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.442912.

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40

Norman, Philip. "Optimisation of the inductively-coupled plasma for the analysis of solutions and slurries." Thesis, University of Plymouth, 1987. http://hdl.handle.net/10026.1/2073.

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The application of inductively-coupled plasma (ICP) spectrometry for the analysis of solutions and slurries is reviewed. The critical parameters which affect analytical performance are identified and methods for the optimisation of the ICP for such applications demonstrated. Particle size of the suspended sample is shown to be the most important factor in the analysis of slurry samples. It is demonstrated that only particles less than 8 um in diameter reach the plasma even when the maximal diameter injector tube (3 mm i.d.) is used. Accordingly various methods for the reduction of particle siz
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41

Danilo, Cecile. "Modélisation théorique de la spectroscopie d'actinides des solvatés." Doctoral thesis, Stockholms universitet, Fysikum, 2009. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-27636.

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The framework of this PhD is the interpretation of Nuclear Magnetic Relaxation Dispersion experiments performed on solvated U4+, NpO2+ and PuO22+, which all have an f2 configuration. Unexpectedly the two actinyl ions have a much higher relaxivity than U4+. One possible explanation is that the electronic relaxation rate is faster for Uranium(IV) than for the actinyl ions. We address this problem by exploring the electronic spectrum of the three compounds in solution. A preliminary step is the computation of the electronic spectra of these three ions in gas phase. A two-step SOCI method has been
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42

Larmat, Carène. "Applications géophysiques de la méthode couplée solution modale-éléments spectraux." Paris, Institut de physique du globe, 2005. http://www.theses.fr/2005GLOB0001.

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43

Clarke, Suzanne Elizabeth. "The Effect of Two Viologens on the Solution Speciation of Tetrakis([rho]-carboxyphenyl)porphine." PDXScholar, 1990. https://pdxscholar.library.pdx.edu/open_access_etds/1372.

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Porphyrins and viologens are often utilized in photocatalyzed electron transfer chemistry. Some of the problems faced by researchers in these applied studies include the lack of information correlating the porphyrin absorbance spectral changes with porphyrin dimerization, complexation, and the effect of noncomplexing cations. In addition, the efficiency of the system is greatly reduced by the formation of porphyrin:viologen association complexes. Knowledge of the values of these constants may allow selection of appropriate porphyrin:viologen concentration ratios which would enable optimization
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44

Wang, Yunli. "Mass Spectrum Analysis of a Substance Sample Placed into Liquid Solution." Thesis, North Dakota State University, 2011. https://hdl.handle.net/10365/28881.

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Mass spectrometry is an analytical technique commonly used for determining elemental composition in a substance sample. For this purpose, the sample is placed into some liquid solution called liquid matrix. Unfortunately, the spectrum of the sample is not observable separate from that of the solution. Thus, it is desired to distinguish the sample spectrum. The analysis is usually based on the comparison of the mixed spectrum with the one of the sole solution. Introducing the missing information about the origin of observed spectrum peaks, the author obtains a classic set up for the Expectation
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45

McNulty, Christopher S. (Christopher Sean) 1976. "Spectral processing algorithms for predicting glucose concentration of various solutions from NIR absorbance spectroscopy." Thesis, Massachusetts Institute of Technology, 1999. http://hdl.handle.net/1721.1/80611.

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Thesis (M.Eng.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1999.<br>Includes bibliographical references (p. 83-84).<br>by Christopher S. McNulty.<br>M.Eng.
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46

Pielaszkiewicz, Jolanta Maria. "On the asymptotic spectral distribution of random matrices : closed form solutions using free independence." Licentiate thesis, Linköping University, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-58181.

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The spectral distribution function of random matrices is an information-carrying object widely studied within Random matrix theory. In this thesis we combine the results of the theory together with the idea of free independence introduced by Voiculescu (1985). Important theoretical part of the thesis consists of the introduction to Free probability theory, which justifies use of asymptotic freeness with respect to particular matrices as well as the use of Stieltjes and R-transform. Both transforms are presented together with their properties. The aim of thesis is to point out characterizations
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Pielaszkiewicz, Jolanta. "On the asymptotic spectral distribution of random matrices : Closed form solutions using free independence." Licentiate thesis, Linköpings universitet, Matematisk statistik, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-92637.

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The spectral distribution function of random matrices is an information-carrying object widely studied within Random matrix theory. In this thesis we combine the results of the theory together with the idea of free independence introduced by Voiculescu (1985). Important theoretical part of the thesis consists of the introduction to Free probability theory, which justifies use of asymptotic freeness with respect to particular matrices as well as the use of Stieltjes and R-transform. Both transforms are presented together with their properties. The aim of thesis is to point out characterizations
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48

Bouslamti, Raada Najia. "Etude vibrationnelle et conformationnelle de l'ion butanoate en solution aqueuse." Montpellier 2, 1992. http://www.theses.fr/1992MON20182.

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L'auteur decrit les spectres raman de l'ion butanoate, associe au cation potassium et de trois isotopomeres, 4-d#3, 3-d#2 et 2-d#2, en solution aqueuse et a l'etat solide. L'influence de la temperature et de la concentration sur ces spectres raman a ete etudiee. Utilisant un champ de force approximatif, et s'appuyant sur l'evolution des spectres en fonction de la temperature, l'auteur propose une attribution des bandes observees pour les conformeres gauche et trans. Puis par application d'une methode originale de restitution des spectres des constituants a partir de ceux de leurs melanges, l'a
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49

Zang, Xiaoyun 1971. "Spectral description of low frequency oceanic variability." Thesis, Massachusetts Institute of Technology, 2000. http://hdl.handle.net/1721.1/59094.

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Thesis (Ph.D.)--Joint Program in Physical Oceanography (Massachusetts Institute of Technology, Dept. of Earth, Atmospheric, and Planetary Sciences and the Woods Hole Oceanographic Institution), 2000.<br>Includes bibliographical references (p. 179-187).<br>A simple dynamic model is used with various observations to provide an approximate spectral description of low frequency oceanic variability. Such a spectrum has wide application in oceanography, including the optimal design of observational strategy for the deployment of floats, the study of Lagrangian statistics and the estimate of uncertai
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50

Fok, Chin Man. "Numerical solutions for the Navier-Stokes equations and the Fokker-Planck equations using spectral methods." HKBU Institutional Repository, 2002. http://repository.hkbu.edu.hk/etd_ra/435.

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