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Dissertations / Theses on the topic 'Analytic solution'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Popov, Mikhail. "Analytic and Numerical Methods for the Solution of Electromagnetic Inverse Source Problems." Doctoral thesis, KTH, Electromagnetic Theory, 2001. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-3134.

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2

Calbo, Sanjuán Gema. "Mean Square Analytic Solutions of Random Linear Models." Doctoral thesis, Universitat Politècnica de València, 2010. http://hdl.handle.net/10251/8721.

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El objetivo de este proyecto de tesis doctoral es el desarrollo de técnicas analítico-numéricas para resolver, en media cuadrática problemas, de valores iniciales de ecuaciones y sistemas de ecuaciones en diferencias y diferenciales aleatorias de tipo lineal. Respecto del estudio aportado sobre ecuaciones en diferencias (véase Capítulo 3), se extienden al contexto aleatorio algunos de los principales resultados que en el caso determinista se conocen para resolver este tipo de ecuaciones así como para estudiar el comportamiento asintótico de su solución. En lo que se refiere a las ecuaciones di

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3

Massei, Stefano. "Exploiting rank structures in the numerical solution of Markov chains and matrix functions." Doctoral thesis, Scuola Normale Superiore, 2017. http://hdl.handle.net/11384/85717.

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4

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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5

Sunter, Kristen A. (Kristen Ann) 1982. "An analytic solution for magnetization distribution in multigrain ferromagnetic materials in an applied magnetic field." Thesis, Massachusetts Institute of Technology, 2004. http://hdl.handle.net/1721.1/32726.

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Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Materials Science and Engineering, 2004.<br>Includes bibliographical references (leaf 21, first group).<br>The magnetic behavior of a material is governed by the variation in anisotropy direction from grain to grain as well as the changes in ferromagnetic parameters at grain boundaries and other defect regions. For example, transmission electron microscopy results show that chromium segregation occurs at the grand boundaries in CoCrTa films, which are used in hard disk drives. In this paper, we model the case of two adjacent semi-i

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6

Xu, Ziyue. "An analytic approach to tensor scale with efficient computational solution and applications to medical imaging." Diss., University of Iowa, 2012. https://ir.uiowa.edu/etd/3016.

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Scale is a widely used notion in medical image analysis that evolved in the form of scale-space theory where the key idea is to represent and analyze an image at various resolutions. Recently, a notion of local morphometric scale referred to as "tensor scale" was introduced using an ellipsoidal model that yields a unified representation of structure size, orientation and anisotropy. In the previous work, tensor scale was described using a 2-D algorithmic approach and a precise analytic definition was missing. Also, with pr

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7

Catak, Sevil. "Performance Budgeting System In Turkey: Problems And Solution Proposals." Master's thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/3/12611537/index.pdf.

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Effective and efficient use of public resources has a vital importance for Turkey, as for all countries. To serve this purpose, public financial management was reformed and performance budgeting system was begun to be implemented in Turkey. In order performance budgeting system to be properly put into practice, the system should have been well designed, regulations should have been adequately prepared and necessary information, guidance and support should be provided to the implementers. In this study, the implementation of performance budgeting system in Turkey was investigated from the persp

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8

Prinsloo, Rian Hendrik. "Solution of the multigroup analytic nodal diffusion equations in 3-dimensional cylindrical geometry / Rian H. Prinsloo." Thesis, North-West University, 2006. http://hdl.handle.net/10394/1460.

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9

Killian, Tyler Norton Rao S. M. "Fast solution of large-body problems using domain decomposition and null-field generation in the method of moments." Auburn, Ala, 2009. http://hdl.handle.net/10415/1881.

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10

Ignace, Richard. "Recombination Lines and Free-Free Continua Formed in Asymptotic Ionized Winds: Analytic solution for the radiative transfer." Digital Commons @ East Tennessee State University, 2009. https://dc.etsu.edu/etsu-works/6264.

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In dense hot star winds, the infrared and radio continua are dominated by free‐free opacity and recombination emission line spectra. In the case of a spherically symmetric outflow that is isothermal and expanding at constant radial speed, the radiative transfer for the continuum emission from a dense wind is analytic. Even the emission profile shape for a recombination line can be derived. Key to these derivations is that the opacity scales with only the square of the density. These results are well‐known. Here an extension of the derivation is developed that also allows for line blends and th

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11

Beezão, Andreza Cristina. "Prescrição de singularidades analíticas de soluções de uma classe de campos vetoriais no toro." Universidade de São Paulo, 2011. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-06062011-144300/.

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Seja L \'= PONTO\' \'\\partial IND. t\' + [\'a(t) + ib (t)] \'\\partial IND. x\' um operador diferencial parcial agindo em distribuições definidas no toro bidimensional \'T POT. 2\'; onde a; b : \'T POT. 1\' \' SETA\' R são funções analíticas reais. Suponhamos que L não ée globalmente analítico hipoelítico e b não é uma função identicamente nula. O objetivo principal deste trabalho é o estudo das soluções singulares de L; através da natureza e da localização das suas singularidades. Com este intuito, primeiramente abordaremos a teoria das séries parciais de Fourier, que nos permitem relaci

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12

Paulo, Gilcilene Sanchez de. "Solução numérica do modelo PTT para escoamentos viscoelásticos com superfícies livres." Universidade de São Paulo, 2006. http://www.teses.usp.br/teses/disponiveis/55/55134/tde-02102006-161603/.

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O objetivo deste trabalho é desenvolver um método numérico capaz de simular escoamentos viscoelásticos com superfícies livres governados pela equação constitutiva não-linear PTT (Phan-Thien-Tanner). Neste trabalho foram apresentados três métodos numéricos para simular escoamentos viscoelásticos modelados pela equação PTT. Dois desses métodos foram desenvolvidos para simular escoamentos viscoelásticos bidimensionais enquanto o terceiro método foi desenvolvido para simular escoamentos viscoelásticos tridimensionais. Estes métodos numéricos foram incorporados aos ambientes de simulação FreeDow2D

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13

Ramos, Alberto Gil Couto Pimentel. "Numerical solution of Sturm–Liouville problems via Fer streamers." Thesis, University of Cambridge, 2016. https://www.repository.cam.ac.uk/handle/1810/256997.

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The subject matter of this dissertation is the design, analysis and practical implementation of a new numerical method to approximate the eigenvalues and eigenfunctions of regular Sturm–Liouville problems, given in Liouville’s normal form, defined on compact intervals, with self-adjoint separated boundary conditions. These are classical problems in computational mathematics which lie on the interface between numerical analysis and spectral theory, with important applications in physics and chemistry, not least in the approximation of energy levels and wave functions of quantum systems. Because

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14

Weisz-Patrault, Daniel. "Recherche et utilisation de méthodes analytiques inverses pour des problèmes couplés thermo élastiques." Thesis, Paris Est, 2012. http://www.theses.fr/2012PEST1171/document.

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Ce travail de doctorat porte sur l'utilisation des mathématiques analytiques dans le cadre de méthodes inverses appliquées à l'industrie. Ces travaux tiennent au développement de capteurs inverses en temps réel adaptés au laminage industriel. Le producteur d'acier ArcelorMittal dirige un projet européen, qui vise à montrer la faisabilité de capteurs mesurant les champs (température, contraintes) dans le contact entre le produit et l'outil sans altérer les conditions de ce contact. Les travaux de thèse présentés dans ce mémoire ont été réalisés au sein du laboratoire Navier et financé par l'éco

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15

Swedenborg, Tobias, and Karl-Anton Brötmark. "Jämförelse av IT-system för säljrapporter : Framtagning av metod för jämförelse och med applicering i en fallstudie." Thesis, KTH, Skolan för teknik och hälsa (STH), 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-183097.

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Valet av IT-system kan vara en omfattande process som trots många iblandade kan resultera i ett misslyckade, vilket kan leda till stora och oförutsedda kostnader. Om jämförelsen inte sker enligt en säker och beprövad process är risken större att valet blir fel då det snarare grundas på känsla och marknadsföring än en opartisk jämförelse. Företaget Genero Solutions erbjuder en IT-lösning för säljstyrning som bland annat tillhandahåller rapporter över fältsäljkårers besöksstatistik och ser ett behov av ett bättre rapportsystem som ger granskare av dessa rapporter större frihet vid exploatering a

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16

Lux, Christian. "Modellierung, Simulation und Homogenisierung des magnetomechanischen Feldproblems für magnetorheologische Elastomere." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-214175.

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Die aus magnetisierbaren Partikeln und einer elastischen Matrix bestehenden magnetorheologischen Elastomere sind ein Verbundwerkstoff mit magnetisch steuerbaren Eigenschaften. In der vorliegenden Arbeit wird ein kontinuumsmechanisches Modell zur Beschreibung der relevanten physikalischen Phänomene bereitgestellt. Die Lösung zugehöriger Randwertaufgaben basiert auf der erweiterten Finiten Elemente Methode. Zur Verifikation und Validierung des Modells werden analytische Referenzlösungen zweidimensionaler Problemstellungen herangezogen. Die Homogenisierung des magnetomechanischen Feldproblems erf

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17

Cardoso, André da Silva. "DFLD-EXP: uma solução semi-analítica para a equação de advecção-dispersão." Universidade do Estado do Rio de Janeiro, 2008. http://www.bdtd.uerj.br/tde_busca/arquivo.php?codArquivo=771.

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A equação de advecção-dispersão possui grande importância na engenharia e nas ciências aplicadas. No entanto, como é bem conhecido, a obtenção de uma solução numérica apropriada para essa equação é um problema desafiador tanto para engenheiros como para matemáticos, físicos e outros profissionais que trabalham com a modelagem de fenômenos associados a ela. Muitos métodos numéricos desenvolvidos podem apresentar uma série de inconvenientes, tais como oscilações, dispersão e/ou dissipação numérica e instabilidade, além de serem inapropriados para determinadas condições de contorno. O presente tr

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18

Cruz, Pedro Alexandre da. "Solução numérica de escoamentos de cristais líquidos nemáticos." Universidade de São Paulo, 2011. http://www.teses.usp.br/teses/disponiveis/55/55134/tde-14092011-132650/.

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O objetivo desse trabalho é desenvolver métodos numéricos para simular escoamentos de cristais líquidos nemáticos governados pelas equações dinâmicas de Ericksen-Leslie. São apresentados dois métodos numéricos para a simulação de escoamentos de cristais líquidos nemáticos. O primeiro método foi desenvolvido para simular escoamentos tridimensionais de cristais líquidos nemáticos sob efeito de forte campo magnético enquanto que o segundo método foi desenvolvido para a simulação de escoamentos bidimensionais. Utilizando a notação de Einstein, as equações dinâmicas de Ericksen-Leslie são apresenta

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19

Abdul, Kadhim Rasheed Maan. "On blow-up solutions of parabolic problems." Thesis, University of Sussex, 2012. http://sro.sussex.ac.uk/id/eprint/42740/.

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This thesis is concerned with the study of the Blow-up phenomena for parabolic problems, which can be defined in a basic way as the inability to continue the solutions up to or after a finite time, the so called blow-up time. Namely, we consider the blow-up location in space and its rate estimates, for special cases of the following types of problems: (i) Dirichlet problems for semilinear equations, (ii) Neumann problems for heat equations, (iii) Neumann problems for semilinear equations, (iv) Dirichlet (Cauchy) problems for semilinear equations with gradient terms. For problems of type (i), (

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20

Johansson, Tomas. "Analytic Solutions to Algebraic Equations." Thesis, Linköpings universitet, Matematiska institutionen, 1998. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-127700.

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This report studies polynomial equations and how one solves them using only the coefficients of the polynomial. It examines why it is impossible to solve equations of degree greater than four using only radicals and how instead one can solve them using elliptic functions. Although the quintic equation is the main area of our investigation, we also present parts of the history of algebraic equations, Galois theory, and elliptic functions.

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21

Pettersson, Johan, and Robin Veteläinen. "A comparison of solutions to measure Quality of Service for video streams." Thesis, KTH, Data- och elektroteknik, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-188514.

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There are more and more people watching video streams over the Internet, and this has led to an increase in companies that compete for viewers. To improve the users experience, these companies can measure how their services are performing. The aim of this thesis was to recommend a way to measure the quality of service for a real time video streaming service. Three methods were presented; to buy the information from a content delivery network, extend existing analytics software or build a custom solution using packet sniffing. It was decided to extend existing analytics software. An evaluation

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22

Tan, Man Wai Emily. "Lexical signalling of notions of solution in the problem-solution discourse context." HKBU Institutional Repository, 1997. http://repository.hkbu.edu.hk/etd_ra/119.

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23

Yu, C. W. "Solution thermochemistry for rapid analysis." Thesis, University of Salford, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.381712.

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24

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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25

SOUZA, Danillo Barros de. "Analytic solutions to stochastic epidemic models." Universidade Federal de Pernambuco, 2017. https://repositorio.ufpe.br/handle/123456789/25518.

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Submitted by Fernanda Rodrigues de Lima (fernanda.rlima@ufpe.br) on 2018-07-26T20:39:13Z No. of bitstreams: 2 license_rdf: 811 bytes, checksum: e39d27027a6cc9cb039ad269a5db8e34 (MD5) DISSERTAÇÃO Danillo Barros de Souza.pdf: 7642919 bytes, checksum: 6768e6fd189bd85a95913caab91d956c (MD5)<br>Approved for entry into archive by Alice Araujo (alice.caraujo@ufpe.br) on 2018-08-09T22:43:44Z (GMT) No. of bitstreams: 2 license_rdf: 811 bytes, checksum: e39d27027a6cc9cb039ad269a5db8e34 (MD5) DISSERTAÇÃO Danillo Barros de Souza.pdf: 7642919 bytes, checksum: 6768e6fd189bd85a95913caab91d956c (MD5)<br>Made

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26

Sakamoto, Shota. "Mathematical analysis of global solutions to the Boltzmann equation." 京都大学 (Kyoto University), 2017. http://hdl.handle.net/2433/225680.

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27

OLIVEIRA, FERNANDO L. de. "Solução analítica da cinética espacial do modelo de difusão para sistemas homogêneos subcríticos acionados por fonte externa." reponame:Repositório Institucional do IPEN, 2008. http://repositorio.ipen.br:8080/xmlui/handle/123456789/11671.

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Made available in DSpace on 2014-10-09T12:54:34Z (GMT). No. of bitstreams: 0<br>Made available in DSpace on 2014-10-09T14:09:26Z (GMT). No. of bitstreams: 0<br>Dissertação (Mestrado)<br>IPEN/D<br>Instituto de Pesquisas Energéticas e Nucleares - IPEN/CNEN-SP

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28

Dent, A. J. "The development of anomalous (resonance) X-ray diffraction techniques for solution." Thesis, University of Bristol, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.384555.

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29

King, Hannah Elizabeth. "Effect of Solution Chemistry on Schwertmannite Formation." Thesis, Virginia Tech, 2015. http://hdl.handle.net/10919/54028.

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Natural nanominerals are abundant in Earth's critical zone and important in innumerable environmental processes that affect water quality. The chemical behavior of many natural nanominerals is related to their extreme small size (<10 nm) and high surface area. Atomic structural and chemical heterogeneity are also important factors affecting nanoparticle reactivity, and are a consequence of the mechanisms and complex (natural) conditions by which they form. The relationships between these factors remain poorly understood and limit our ability to predict the formation, transformation, and chemic

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30

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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31

Anagurthi, Kumar. "Analytical solution for inverse heat conduction problem." Ohio : Ohio University, 1999. http://www.ohiolink.edu/etd/view.cgi?ohiou1176227397.

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32

Cheung, Kwok Fa. "Time-domain solution for second-order wave diffraction." Thesis, University of British Columbia, 1991. http://hdl.handle.net/2429/30987.

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A numerical method based on potential flow theory is developed for simulating transient, second-order interactions of ocean waves with large fixed bodies of arbitrary shape in two and three dimensions. The physical problem is represented by a mathematical model composed of a fluid domain bounded by the body surface, the still water surface, the seabed, and a control surface truncating the infinite fluid region. The nonlinear free surface boundary conditions defined on the instantaneous free surface are expanded about the still water level by a Stokes expansion procedure. The flow potential to

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33

Desmond, T. Paul. "Analysis of photographic developer solutions." Thesis, Loughborough University, 1994. https://dspace.lboro.ac.uk/2134/33045.

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The project has investigated the degradation products of colour developing agents CD-3 and CD-4 that are likely to be present as significant constituents in used colour developer solutions. Some of the major components have been identified and confirmed earlier proposals made on model systems of solutions of developing agents. Liquid chromatographic and capillary electrophoretic methods have been established for the determination of the individual components of the developer solutions and both Kodak and competitor products have been examined.

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34

Abell, K. A. "Analysis and computation of the dynamics of spatially discrete phase transition equations." Thesis, University of Sussex, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.344064.

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35

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

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36

Panagos, Adam. "Analytic Solutions for Optimal Training on Fading Channels." International Foundation for Telemetering, 2006. http://hdl.handle.net/10150/604403.

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ITC/USA 2006 Conference Proceedings / The Forty-Second Annual International Telemetering Conference and Technical Exhibition / October 23-26, 2006 / Town and Country Resort & Convention Center, San Diego, California<br>Wireless communication systems may use training signals for the receiver to learn the fading coefficients of the channel. Obtaining channel state information (CSI) at the receiver is often times necessary for the receiver to correctly detect and demodulate transmitted symbols. The type of training signal, the length of time to spend training, and the frequency of training are

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37

Wiberg, Kent. "Multivariate spectroscopic methods for the analysis of solutions." Doctoral thesis, Stockholm : Institutionen för analytisk kemi, Univ, 2004. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-110.

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38

Germain, Pierre. "Solutions fortes, solutions faibles d'équations aux dérivées partielles d'évolution." Phd thesis, Ecole Polytechnique X, 2005. http://pastel.archives-ouvertes.fr/pastel-00001901.

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Nous exposons en introduction quelques généralités sur les solutions fortes et les solutions faibles d'équations aux dérivées partielles. Le chapitre 2 est consacré à l'étude des multiplicateurs et des paramultiplicateurs entre espaces de Sobolev. Si l'opérateur de multiplication ponctuelle par une fonction est borné d'un espace de Sobolev dans un autre, on dit que cette fonction est un multiplicateur entre ces espaces. On définit de même les paramultiplicateurs par le caractère borné de l'opérateur de paraproduit de Bony. Nous prouvons une caractérisation presque complète des espaces de multi

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Stykel, Tatjana. "Analysis and numerical solution of generalized Lyapunov equations." [S.l.] : [s.n.], 2002. http://deposit.ddb.de/cgi-bin/dokserv?idn=965195376.

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LIMA, NICOLLE MIRANDA DE. "PORESCALE ANALYSIS OF OIL DISPLACEMENT BY POLYMER SOLUTION." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2015. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=26369@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO<br>COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR<br>PROGRAMA DE EXCELENCIA ACADEMICA<br>A injeção de água é o método de recuperação secundária mais utilizado na indústria do petróleo. No entanto, a alta razão de mobilidade entre a água e o óleo limita a quantidade de óleo deslocada. Uma alternativa para minimizar este problema é a aplicação de tecnologias que agem como agentes de controle da mobilidade. Soluções poliméricas podem ser utilizadas para aumentar a viscosidade da água e consequentemente reduzir a razão de mobilidade.

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41

Wright, Patrick. "Numerical and analytical solution of optimal multiprocess problems." Thesis, Imperial College London, 1990. http://hdl.handle.net/10044/1/46617.

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42

Kirksey, James Frederick. "Improvement of harmonic balance solution routines for nonlinear systems." Thesis, Georgia Institute of Technology, 1988. http://hdl.handle.net/1853/16480.

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43

Wade, Spencer David DDS. "Stability of Epinephrine in a 0.9% Saline Solution." The Ohio State University, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu1561489299362315.

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44

Chocian, Peter. "The semiclassical S-matrix theory of three body Coulomb break-up." Thesis, Royal Holloway, University of London, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.314298.

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45

Mishra, Phoolendra Kumar. "Pumping test inference of saturated/unsaturated aquifer properties." Diss., The University of Arizona, 2010. http://hdl.handle.net/10150/194085.

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Analytical solutions for aquifer response to pumping are commonly used to infer the hydraulic properties of aquifers. This dissertation develops new analytical solutions for the analysis of pumping test data from confined and unconfined aquifer.An analytical solution for flow to a partially penetrating well of infinitesimally small radius in a compressible unconfined aquifer is developed that allows inferring its saturated and unsaturated hydraulic properties from drawdowns recorded in the saturated and/or the unsaturated zone. The effects of unsaturated zoneconstitutive parameters and thickne

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46

Fricke, J. Robert. "Acoustic scattering from elastic ice a finite difference solution /." Woods Hole, Mass. : Woods Hole Oceanographic Institution, 1991. http://catalog.hathitrust.org/api/volumes/oclc/24347157.html.

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47

Yu, Hui-fang, and 游惠芳. "Analytic solution for American GARCH option." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/15204555006731790415.

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碩士<br>東吳大學<br>財務工程與精算數學系<br>98<br>This paper extends the work of Heston and Nandi’s (2000) and integrates the Richardson extrapolation technique of Huang et al. (1996, HSY) for developing analytical solution for American GARCH option. By using large sample least-square Monte Carlo Simulations as the benchmarks, we prove that our model is accurate and efficient from the results of numerical experiments. Finally, we show that our American GARCH option model is superior in pricing than the traditional constant volatility American option model from the empirical tests of Taiwan’s put warrant marke

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48

Sun, Chieh-Sheng, and 孫聖傑. "The analytic solution of nanoparticle under electromagnetic fields." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/35824293927870105049.

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碩士<br>國立臺灣大學<br>應用力學研究所<br>96<br>Analytic solution of three-dimensional nanoparticle under electric dipole source and plane wave is investigated. Quantum yield, excitation rate, and fluorescence enhancement can be calculated via Mie theory and dyadic Green’s function. The analytic series expansion solution of the scattering between plane wave and a solid sphere is presented. Additionally, the core-shell sphere will be presented at the same time. The analytic series expansion solution of the solid/core-shell scattering between an electric dipole is presented besides plane wave. Experimental

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Cossio, Santizo Manuel. "A Semi-Analytic Solution for Flow in Finite-Conductivity Vertical Fractures Using Fractal Theory." Thesis, 2012. http://hdl.handle.net/1969.1/ETD-TAMU-2012-08-11408.

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The exploitation of unconventional reservoirs goes hand in hand with the practice of hydraulic fracturing and, with an ever increasing demand in energy, this practice is set to experience significant growth in the coming years. Sophisticated analytic models are needed to accurately describe fluid flow in a hydraulic fracture and the problem has been approached from different directions in the past 3 decades - starting with the use of line-source functions for the infinite conductivity case, followed by the application of Laplace Transforms and the Boundary-Element Method for the finite-conduct

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50

Chang, Chia-Hua, and 張家華. "Analytic Solution of Nonlinear Wavemaking in the Time Domain." Thesis, 2002. http://ndltd.ncl.edu.tw/handle/nmtke5.

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碩士<br>國立成功大學<br>水利及海洋工程學系碩博士班<br>90<br>The purpose of this study is to present a second-order analytic solution for the nonlinear flap wavemaker problem in the time domain. The potential wave theory is used to describe the wave motion. Taylor series expansion and the perturbation method are used to express the nonlinear boundary value problem into a first-order and a second-order problem. A solution procedure proposed by Lee, Kuo and Lee (1989) solving the first-order problem is applied to solve for the second-order problem. The second-order problem nonhomogeneous conditions appearing on th

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