Tesis sobre el tema "Heat equation Numerical solutions"
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Hayman, Kenneth John. "Finite-difference methods for the diffusion equation". Title page, table of contents and summary only, 1988. http://web4.library.adelaide.edu.au/theses/09PH/09phh422.pdf.
Texto completoSweet, Erik. "ANALYTICAL AND NUMERICAL SOLUTIONS OF DIFFERENTIALEQUATIONS ARISING IN FLUID FLOW AND HEAT TRANSFER PROBLEMS". Doctoral diss., University of Central Florida, 2009. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/2585.
Texto completoPh.D.
Department of Mathematics
Sciences
Mathematics PhD
Sweet, Erik. "Analytical and numerical solutions of differential equations arising in fluid flow and heat transfer problems". Orlando, Fla. : University of Central Florida, 2009. http://purl.fcla.edu/fcla/etd/CFE0002889.
Texto completoBrubaker, Lauren P. "Completely Residual Based Code Verification". University of Akron / OhioLINK, 2006. http://rave.ohiolink.edu/etdc/view?acc_num=akron1132592325.
Texto completoAl-Jawary, Majeed Ahmed Weli. "The radial integration boundary integral and integro-differential equation methods for numerical solution of problems with variable coefficients". Thesis, Brunel University, 2012. http://bura.brunel.ac.uk/handle/2438/6449.
Texto completoFerreira, Fábio Freitas. "Problemas inversos sobre a esfera". Universidade do Estado do Rio de Janeiro, 2008. http://www.bdtd.uerj.br/tde_busca/arquivo.php?codArquivo=889.
Texto completoO objetivo desta tese é o desenvolvimento de algoritmos para determinar as soluções, e para determinação de fontes, das equações de Poisson e da condução de calor definidas em uma esfera. Determinamos as formas das equações de Poisson e de calor sobre a esfera, e desenvolvemos métodos iterativos, baseados em uma malha icosaedral e sua respectiva malha dual, para obter as soluções das mesmas. Mostramos que os métodos iterativos convergem para as soluções das equações discretizadas. Empregamos o método de regularização iterada de Alifanov para resolver o problema inverso, de determinação de fonte, definido na esfera.
The objective of this thesis is the development of algorithms to determine the solutions, and for determination of sources of, the equations of Poisson and heat conduction for a sphere. We establish the form of equations of Poisson and heat on the sphere, and developed iterative methods, based on a icosaedral mesh and its dual mesh, to obtain the solutions for them. It is shown that the iterative methods converge to the solutions of the equations discretizadas. It employed the method of settlement of Alifanov iterated to solve the inverse problem, determination of source, set in the sphere.
Simmel, Martin. "Two numerical solutions for the stochastic collection equation". Universitätsbibliothek Leipzig, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-215378.
Texto completoEs werden zwei verschiedene Methoden zur numerischen Lösung der \"Gleichung für stochastisches Einsammeln\" (stochastic collection equation, SCE) vorgestellt. Sie werden als Lineare Diskrete Methode (LDM) bzw. Bin Shift Methode (BSM) bezeichnet. Konzeptuell sind beide der bekannten Diskreten Methode (DM) von Kovetz und Olund ähnlich. Für LDM und BSM wird deren Konzept auf zwei prognostische Momente erweitert. Für LDM und BSM werden die\" Aufteil-Faktoren\" (die für DM zeitlich konstant sind) dadurch zeitabhängig. Es werden Simulationsrechnungen für die Koaleszenzfunktion nach Golovin (für die eine analytische Lösung existiert) und die hydrodynamische Koaleszenzfunktion nach Hall gezeigt. Verschiedene Klassenauflösungen und Zeitschritte werden untersucht. Wie erwartet werden die Ergebnisse mit zunehmender Auflösung besser. LDM und BSM zeigen nicht die anomale Dispersion, die eine Schwäche der DM ist
Simmel, Martin. "Two numerical solutions for the stochastic collection equation". Wissenschaftliche Mitteilungen des Leipziger Instituts für Meteorologie ; 17 = Meteorologische Arbeiten aus Leipzig ; 5 (2000), S. 61-73, 2000. https://ul.qucosa.de/id/qucosa%3A15149.
Texto completoEs werden zwei verschiedene Methoden zur numerischen Lösung der \"Gleichung für stochastisches Einsammeln\" (stochastic collection equation, SCE) vorgestellt. Sie werden als Lineare Diskrete Methode (LDM) bzw. Bin Shift Methode (BSM) bezeichnet. Konzeptuell sind beide der bekannten Diskreten Methode (DM) von Kovetz und Olund ähnlich. Für LDM und BSM wird deren Konzept auf zwei prognostische Momente erweitert. Für LDM und BSM werden die\" Aufteil-Faktoren\" (die für DM zeitlich konstant sind) dadurch zeitabhängig. Es werden Simulationsrechnungen für die Koaleszenzfunktion nach Golovin (für die eine analytische Lösung existiert) und die hydrodynamische Koaleszenzfunktion nach Hall gezeigt. Verschiedene Klassenauflösungen und Zeitschritte werden untersucht. Wie erwartet werden die Ergebnisse mit zunehmender Auflösung besser. LDM und BSM zeigen nicht die anomale Dispersion, die eine Schwäche der DM ist.
Sjölander, Filip. "Numerical solutions to the Boussinesq equation and the Korteweg-de Vries equation". Thesis, KTH, Skolan för teknikvetenskap (SCI), 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-297544.
Texto completoSundqvist, Per. "Numerical Computations with Fundamental Solutions". Doctoral thesis, Uppsala : Acta Universitatis Upsaliensis : Univ.-bibl. [distributör], 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-5757.
Texto completoScheid, Jean-François. "Étude théorique et numérique de l'évolution morphologique d'interfaces". Paris 11, 1994. http://www.theses.fr/1994PA112027.
Texto completoDuthil, Eric Patxi. "Thermoacoustic heat pumping study : experimental and numerical approaches /". View Abstract or Full-Text, 2003. http://library.ust.hk/cgi/db/thesis.pl?MECH%202003%20DUTHIL.
Texto completoIncludes bibliographical references (leaves 122-129). Also available in electronic version. Access restricted to campus users.
Wilkinson, Rebecca L. "Numerical explorations of cake baking using the nonlinear heat equation". View electronic thesis, 2008. http://dl.uncw.edu/etd/2008-1/wilkinsonr/rebeccawilkinson.pdf.
Texto completoSundström, Carl. "Numerical solutions to high frequency approximations of the scalar wave equation". Thesis, Uppsala universitet, Tillämpad beräkningsvetenskap, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-429072.
Texto completoVan, Cong Tuan Son. "Numerical solutions to some inverse problems". Diss., Kansas State University, 2017. http://hdl.handle.net/2097/38248.
Texto completoDepartment of Mathematics
Alexander G. Ramm
In this dissertation, the author presents two independent researches on inverse problems: (1) creating materials in which heat propagates a long a line and (2) 3D inverse scattering problem with non-over-determined data. The theories of these methods were developed by Professor Alexander Ramm and are presented in Chapters 1 and 3. The algorithms and numerical results are taken from the papers of Professor Alexander Ramm and the author and are presented in Chapters 2 and 4.
Tzanetis, Dimitrios E. "Global existence and asymptotic behaviour of unbounded solutions for the semilinear heat equation". Thesis, Heriot-Watt University, 1986. http://hdl.handle.net/10399/1604.
Texto completoPusch, Gordon D. "Differential algebraic methods for obtaining approximate numerical solutions to the Hamilton-Jacobi equation". Diss., This resource online, 1990. http://scholar.lib.vt.edu/theses/available/etd-07282008-135711/.
Texto completoAgiza, Hamdy N. "A numerical and theoretical study of solutions to a damped nonlinear wave equation". Thesis, Heriot-Watt University, 1987. http://hdl.handle.net/10399/1058.
Texto completoSagheer, Muhammad. "Mathematical analysis and numerical solutions of an integral equation arising from population dynamics". Thesis, University of Sussex, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.420495.
Texto completoChiang, Shihchung. "Numerical solutions for a class of singular integrodifferential equations". Diss., This resource online, 1996. http://scholar.lib.vt.edu/theses/available/etd-06062008-151231/.
Texto completoHuang, Jeffrey. "Numerical solutions of continuous wave beam in nonlinear media". PDXScholar, 1987. https://pdxscholar.library.pdx.edu/open_access_etds/3742.
Texto completoAntoniouk, Alexandra, Oleg Kiselev, Vitaly Stepanenko y Nikolai Tarkhanov. "Asymptotic solutions of the Dirichlet problem for the heat equation at a characteristic point". Universität Potsdam, 2012. http://opus.kobv.de/ubp/volltexte/2012/6198/.
Texto completoHårderup, Peder y William Brorsson. "A Numerical and Analytical Investigation of The sine-Gordon Equation and Its Soliton Solutions". Thesis, KTH, Skolan för teknikvetenskap (SCI), 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-297564.
Texto completoPorter, Annabelle Louise. "The evolution of equation-solving: Linear, quadratic, and cubic". CSUSB ScholarWorks, 2006. https://scholarworks.lib.csusb.edu/etd-project/3069.
Texto completoYevik, Andrei. "Numerical approximations to the stationary solutions of stochastic differential equations". Thesis, Loughborough University, 2011. https://dspace.lboro.ac.uk/2134/7777.
Texto completoKeeve, Michael Octavis. "Study and implementation of Gauss Runge-Kutta schemes and application to Riccati equations". Diss., Georgia Institute of Technology, 1997. http://hdl.handle.net/1853/30956.
Texto completoWeiß, Jan-Philipp. "Numerical analysis of lattice Boltzmann methods for the heat equation on a bounded interval". Karlsruhe : Univ.-Verl. Karlsruhe, 2006. http://www.uvka.de/univerlag/volltexte/2006/179/.
Texto completoZheng, Bing. "Incorporating equation solving into unification through stratified term rewriting". Thesis, Virginia Polytechnic Institute and State University, 1989. http://hdl.handle.net/10919/52096.
Texto completoMaster of Science
Al-Hussyni, Saad Kohel Ali. "Numerical study of turbulent plane jets in still and flowing environments employing two-equation k-ε model". Thesis, University of Edinburgh, 1987. http://hdl.handle.net/1842/11065.
Texto completoVolkin, Robert P. "Spherical Shell Solutions to the Radially Symmetric Aggregation Equation: Analysis and a Novel Numerical Method". Case Western Reserve University School of Graduate Studies / OhioLINK, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=case1575639958498416.
Texto completoTyler, Jonathan. "Analysis and implementation of high-order compact finite difference schemes /". Diss., CLICK HERE for online access, 2007. http://contentdm.lib.byu.edu/ETD/image/etd2177.pdf.
Texto completoKoutoumbas, Anastasios M. "Bidirectional and unidirectional spectral representations for the scalar wave equation". Thesis, Virginia Tech, 1990. http://hdl.handle.net/10919/41904.
Texto completoThe 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 representations. On the other hand, the unidirectional spectral representation is motivated through a group-theoretic similarity reduction of the scalar wave equation.
Master of Science
Dubois, Olivier 1980. "Optimized Schwarz methods for the advection-diffusion equation and for problems with discontinuous coefficients". Thesis, McGill University, 2007. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=103379.
Texto completoIn the first part of this work, we continue the study of optimized transmission conditions for advection-diffusion problems with smooth coefficients. We derive asymptotic formulas for the optimized parameters for small mesh sizes, in the overlapping and non-overlapping cases, and show that these formulas are accurate when the component of the advection tangential to the interface is not too large.
In a second part, we consider a diffusion problem with a discontinuous coefficient and non-overlapping domain decompositions. We derive several choices of optimized transmission conditions by thoroughly solving the associated min-max problems. We show in particular that the convergence of optimized Schwarz methods improves as the jump in the coefficient increases, if an appropriate scaling of the transmission conditions is used. Moreover, we prove that optimized two-sided Robin conditions lead to mesh-independent convergence. Numerical experiments with two subdomains are presented to verify the analysis. We also report the results of experiments using the decomposition of a rectangle into many vertical strips; some additional analysis is carried out to improve the optimized transmission conditions in that case.
On a third topic, we experiment with different coarse space corrections for the Schwarz method in a simple one-dimensional setting, for both overlapping and non-overlapping subdomains. The goal is to obtain a convergence that does not deteriorate as we increase the number of subdomains. We design a coarse space correction for the Schwarz method with Robin transmission conditions by considering an augmented linear system, which avoids merging the local approximations in overlapping regions. With numerical experiments, we demonstrate that the best Robin conditions are very different for the Schwarz iteration with, and without coarse correction.
Liu, Fang-Lan. "Some asymptotic stability results for the Boussinesq equation". Diss., Virginia Tech, 1993. http://hdl.handle.net/10919/40052.
Texto completoJonsson, Tobias. "On the one dimensional Stefan problem : with some numerical analysis". Thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-80215.
Texto completoKnaub, Karl R. "On the asymptotic behavior of internal layer solutions of advection-diffusion-reaction equations /". Thesis, Connect to this title online; UW restricted, 2001. http://hdl.handle.net/1773/6772.
Texto completoMacias, Diaz Jorge. "A Numerical Method for Computing Radially Symmetric Solutions of a Dissipative Nonlinear Modified Klein-Gordon Equation". ScholarWorks@UNO, 2004. http://scholarworks.uno.edu/td/167.
Texto completoKurianski, Kristin Marie-Dettmers. "Estimates for solutions to the Dysthe equation and numerical simulations of walking droplets in harmonic potentials". Thesis, Massachusetts Institute of Technology, 2019. https://hdl.handle.net/1721.1/122173.
Texto completoCataloged from PDF version of thesis.
Includes bibliographical references (pages 119-124).
In this thesis, we study wave-type phenomena both from a numerical point of view and a theoretical one. We first present the results of a numerical investigation of droplets walking in a harmonic potential on a vibrating fluid bath. The droplet's trajectory is described by an integro-differential equation, which is simulated numerically in various parameter regimes. We produce a regime diagram that summarizes the dependence of the walker's behavior on the system parameters for a droplet of fixed size. At relatively low vibrational forcing, a number of periodic and quasiperiodic trajectories emerge. In the limit of large vibrational forcing, the walker's trajectory becomes chaotic, but the resulting trajectories can be decomposed into portions of unstable quasiperiodic states. We then recast the integro-differential equation as a coupled system of ordinary differential equations in time. This method is used to simulate droplet lattices in various configurations and in the presence of a harmonic potential, creating structures reminiscent of Wigner molecules. The development of this approach is presented in detail along with its future applications. We then switch focus to a fluid system described by a modified nonlinear Schrödinger equation. The surface of an incompressible, inviscid, irrotational fluid of infinite depth can be described in two dimensions by the Dysthe equation. Recently, this equation has been used to model extraordinarily large waves occurring on the ocean's surface called rogue waves. In this thesis, we prove dispersive estimates and Strichartz estimates for the Dysthe equation. We then prove a Kato-type smoothing effect in which we are able to bound uniformly in space the L² norm in time of a fractional derivative of the linear solution by the L² norm in space of the initial data. This section of the thesis lays the groundwork for further developments in proving well-posedness via a contraction argument.
Financial support from National Science Foundation and the MIT School of Science
by Kristin Marie-Dettmers Kurianski.
Ph. D.
Ph.D. Massachusetts Institute of Technology, Department of Mathematics
Yang, Xue-Feng. "Extensions of sturm-liouville theory : nodal sets in both ordinary and partial differential equations". Diss., Georgia Institute of Technology, 1995. http://hdl.handle.net/1853/28021.
Texto completoLiu, Guanhui y 刘冠辉. "Formulation of multifield finite element models for Helmholtzproblems". Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2010. http://hub.hku.hk/bib/B44204875.
Texto completoPloskic, Adnan. "Technical solutions for low-temperature heat emission in buildings". Doctoral thesis, KTH, Strömnings- och klimatteknik, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-133221.
Texto completoQC 20131029
Gyurko, Lajos Gergely. "Numerical methods for approximating solutions to rough differential equations". Thesis, University of Oxford, 2008. http://ora.ox.ac.uk/objects/uuid:d977be17-76c6-46d6-8691-6d3b7bd51f7a.
Texto completoFok, 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.
Texto completoLampshire, Gregory B. "Review of random media homogenization using effective medium theories". Thesis, Virginia Tech, 1992. http://hdl.handle.net/10919/40659.
Texto completoCalculation of propagation constants in particulate matter is an important aspect of wave propagation analysis in engineering disciplines such as satellite comnlunication, geophysical exploration, radio astronomy and material science. It is important to understand why different propagation constants produced by different theories are not applicable to a particular problem. Homogenization of the random media using effective medium theories yields the effective propagation constants by effacing the particulate, microscopic nature of the medium. The Maxwell-Gamet and Bruggeman effective medium theories are widely used but their limitations are not always well understood.
In this thesis, some of the more complex homogenization theories will only be partially derived or heuristically constructed in order to avoid unnecessary mathematical complexity which does not yield additional physical insight. The intent of this thesis is to elucidate the nature of effective medium theories, discuss the theories' approximations and gain a better global understanding of wave propagation equations. The focus will be on the Maxwell-Garnet and Bruggeman theories because they yield simple relationships and therefore serve as anchors in a sea of myriad approximations.
Master of Science
Weiß, Jan-Philipp [Verfasser]. "Numerical analysis of Lattice Boltzmann methods for the heat equation on a bounded interval / von Jan Philipp Weiß". Karlsruhe : Univ.-Verl. Karlsruhe, 2006. http://d-nb.info/982595697/34.
Texto completoShu, Yupeng. "Numerical Solutions of Generalized Burgers' Equations for Some Incompressible Non-Newtonian Fluids". ScholarWorks@UNO, 2015. http://scholarworks.uno.edu/td/2051.
Texto completoTyler, Jonathan G. "Analysis and Implementation of High-Order Compact Finite Difference Schemes". BYU ScholarsArchive, 2007. https://scholarsarchive.byu.edu/etd/1278.
Texto completoDomeij, Bäckryd Rebecka. "Simulation of Heat Transfer on a Gas Sensor Component". Thesis, Linköping University, Department of Mathematics, 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-131.
Texto completoGas sensors are today used in many different application areas, and one growing future market is battery operated sensors. As many gas sensor components are heated, one major limit of the operation time is caused by the power dissipated as heat. AppliedSensor is a company that develops and produces gas sensor components, modules and solutions, among which battery operated gas sensors are one targeted market.
The aim of the diploma work has been to simulate the heat transfer on a hydrogen gas sensor component and its closest surroundings consisting of a carrier mounted on a printed circuit board. The component is heated in order to improve the performance of the gas sensing element.
Power dissipation occurs by all three modes of heat transfer; conduction from the component through bond wires and carrier to the printed circuit board as well as convection and radiation from all the surfaces. It is of interest to AppliedSensor to understand which factors influence the heat transfer. This knowledge will be used to improve different aspects of the gas sensor, such as the power consumption.
Modeling and simulation have been performed in FEMLAB, a tool for solving partial differential equations by the finite element method. The sensor system has been defined by the geometry and the material properties of the objects. The system of partial differential equations, consisting of the heat equation describing conduction and boundary conditions specifying convection and radiation, was solved and the solution was validated against experimental data.
The convection increases with the increase of hydrogen concentration. A great effort was made to finding a model for the convection. Two different approaches were taken, the first based on known theory from the area and the second on experimental data. When the first method was compared to experiments, it turned out that the theory was insufficient to describe this small system involving hydrogen, which was an unexpected but interesting result. The second method matched the experiments well. For the continuation of the project at the company, a better model of the convection would be a great improvement.
Liu, Bing. "Properties Model for Aqueous Sodium Chloride Solutions near the Critical Point of Water". Diss., CLICK HERE for online access, 2005. http://contentdm.lib.byu.edu/ETD/image/etd1034.pdf.
Texto completoCortez, Manuel Fernando. "Explosion en temps fini de solutions d’équations dispersives ou dissipatives non-linéaires". Thesis, Lyon 1, 2015. http://www.theses.fr/2015LYO10198/document.
Texto completoThe subject of this thesis is the formation of singularities for some nonlinear evolution equations of dissipative and/or dispersive type. Our work is focused on the Cauchy problems, usually with periodic boundary conditions or on the whole $\mathbb{R}^{n}$. Our aim is to provide the necessary or sufficient conditions (or both) on the initial data $u_0 (x)$, ensuring that the lifetime $T^{*}$ of the solution resulting from $u_0$ is finite or not. We study two types of equations: a nonlinear parabolic equation and a class of dispersive wave equations. In the first case, we study a one-dimensional model which describe the propagation of nonlinear waves in a channel or the deformations of a hyper-elastic rod. One decisive contibutions of our work will be this: the only global strong periodic solution of the rod equation vanishing in at least one point is the identically zero solution. We also establish the analogue of this result in the case of non-periodic solutions defined on the whole real line which vanish at infinity. Our analysis is based on the application of new local-in-space blowup criteria. The second equation that we consider is a generalization of the rod equation which was proposed by H. Holden and X. Raynaud. This generalization covers many other equations with interesting mathematical properties. We will establish criteria for the blowup in finite time that involve only the properties of the data $u_0$ in a neighborhood of a single point, thus simplifying and extending earlier blowup criteria for this equation. After, we study family of equations known in the literature as the $b$-family equations. One of the most notable cases of this family of equations is the Degasperis-Procesi equation. For this family we obtain similar results as those described above. Finally, the last part, we study the well-posedness, locally or globally in time of the nonlinear heat equation, in functional spaces having appropriate invariance properties relative to scale changes. After extending Y. Meyer's result establishing the existence of global solutions, under a smallness condition of the initial data in the homogeneous Besov spaces $\dot{B}_{p}^{-\sigma, \infty}(\mathbb{R}^{3})$, where $3 < p < 9$ and $\sigma=1-3/p$, we prove that initial data $u_0\in \mathcal{S}(\mathbb{R}^{3})$, arbitrarily small in ${\dot B^{-2/3,\infty}_{9}}(\mathbb{R}^{3})$, can produce solutions that explode in finite time. In addition, the blowup may occur after an arbitrarily short time