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1

Lesage, Pierre-Yves. "Numerical computation and software design." Thesis, Cranfield University, 1999. http://dspace.lib.cranfield.ac.uk/handle/1826/11134.

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The development of simulation tools is becoming an important area in industry, recently fostered by the tremendous improvements in computer hardware. Many physical problems can be simulated by being modelled by mathematical equations which can then be solved numerically. This thesis is concerned with the development of a Finite Difference solver for time dependent partial differential equations. The development involves a number of challenging requirements that the solver must meet: to have the capacity of solving conservation and non-conservation laws (using several numerical techniques), to
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Lesage, P.-Y. "Numerical computation and software design." Thesis, Cranfield University, 1999. http://dspace.lib.cranfield.ac.uk/handle/1826/11134.

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The development of simulation tools is becoming an important area in industry, recently fostered by the tremendous improvements in computer hardware. Many physical problems can be simulated by being modelled by mathematical equations which can then be solved numerically. This thesis is concerned with the development of a Finite Difference solver for time dependent partial differential equations. The development involves a number of challenging requirements that the solver must meet: to have the capacity of solving conservation and non-conservation laws (using several numerical techniques), to
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3

Nassiri, Masoud. "Numerical computation of shallow recirculating flow." Thesis, McGill University, 1994. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=68046.

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The recirculating flows behind a sudden expansion in an open channel are computed using three different turbulence models: (i) a standard single-length-scale $ kappa$-$ epsilon$ model, (ii) a two-length-scale $ kappa$-$ epsilon$, and (iii) a constant-eddy-viscosity model. The performance of these models is evaluated by comparing the numerical results with the experimental data obtained from the previous investigation.<br>The flow simulation is characterized by two basic dimensionless parameters: a turbulent Reynolds number, $Re sb{T},$ which defines the level of eddy viscosity, and a bed-frict
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4

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

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Romero, i. Sànchez David. "Numerical computation of invariant objects with wavelets." Doctoral thesis, Universitat Autònoma de Barcelona, 2015. http://hdl.handle.net/10803/395169.

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Bohigas, Nadal Oriol. "Numerical computation and avoidance of manipulator singularities." Doctoral thesis, Universitat Politècnica de Catalunya, 2013. http://hdl.handle.net/10803/117535.

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This thesis develops general solutions to two open problems of robot kinematics: the exhaustive computation of the singularity set of a manipulator, and the synthesis of singularity-free paths between given configurations. Obtaining proper solutions to these problems is crucial, because singularities generally pose problems to the normal operation of a robot and, thus, they should be taken into account before the actual construction of a prototype. The ability to compute the whole singularity set also provides rich information on the global motion capabilities of a manipulator. The projections
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Lin, Hong-Chia. "Topics in Numerical Computation of Compressible Flow." Thesis, Cranfield University, 1990. http://dspace.lib.cranfield.ac.uk/handle/1826/4555.

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This thesis aims to assist the development of a multiblock implicit Navier-Stokes code for hypersonic flow applications. There are mainly three topics, which concern the understanding of basic Riemann solvers, the implementing of implicit zonal method, and grid adaption for viscous flow. Three problems of Riemann solvers are investigated. The post-shock oscillation problem of slowly moving shocks is examined, especially for Roe's Riemann solver, and possible cures are suggested for both first and second order schemes. The carbuncle phenomenon associated with blunt body calculation is cured by
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8

Betcke, Timo. "Numerical computation of eigenfunctions of planar regions." Thesis, University of Oxford, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.426381.

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Prosser, Robert. "Numerical methods for the computation of combustion." Thesis, University of Cambridge, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.340975.

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10

Dougherty, Edward T. "Computation and Numerics in Neurostimulation." Diss., Virginia Tech, 2015. http://hdl.handle.net/10919/73350.

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Neurostimulation continues to demonstrate tremendous success as an intervention for neurodegenerative diseases, including Parkinson's disease, in addition to a range of other neurological and psychiatric disorders. In an effort to enhance the medical efficacy and comprehension of this form of brain therapy, modeling and computational simulation are regarded as valuable tools that enable in silico experiments for a range of neurostimulation research endeavours. To fully realize the capacities of neurostimulation simulations, several areas within computation and numerics need to be considered an
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11

Zhou, Jian Ming. "A multi-grid method for computation of film cooling." Thesis, University of British Columbia, 1990. http://hdl.handle.net/2429/29414.

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This thesis presents a multi-grid scheme applied to the solution of transport equations in turbulent flow associated with heat transfer. The multi-grid scheme is then applied to flow which occurs in the film cooling of turbine blades. The governing equations are discretized on a staggered grid with the hybrid differencing scheme. The momentum and continuity equations are solved by a nonlinear full multi-grid scheme with the SIMPLE algorithm as a relaxation smoother. The turbulence k — Є equations and the thermal energy equation are solved on each grid without multi-grid correction. Observatio
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12

Eklund, David. "Topics in computation, numerical methods and algebraic geometry." Doctoral thesis, KTH, Matematik (Avd.), 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-25941.

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This thesis concerns computation and algebraic geometry. On the computational side we have focused on numerical homotopy methods. These procedures may be used to numerically solve systems of polynomial equations. The thesis contains four papers. In Paper I and Paper II we apply continuation techniques, as well as symbolic algorithms, to formulate methods to compute Chern classes of smooth algebraic varieties. More specifically, in Paper I we give an algorithm to compute the degrees of the Chern classes of smooth projective varieties and in Paper II we extend these ideas to cover also the degre
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13

Stewart, Dawn L. "Numerical Methods for Accurate Computation of Design Sensitivities." Diss., Virginia Tech, 1998. http://hdl.handle.net/10919/30561.

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This work is concerned with the development of computational methods for approximating sensitivities of solutions to boundary value problems. We focus on the continuous sensitivity equation method and investigate the application of adaptive meshing and smoothing projection techniques to enhance the basic scheme. The fundamental ideas are first developed for a one dimensional problem and then extended to 2-D flow problems governed by the incompressible Navier-Stokes equations. Numerical experiments are conducted to test the algorithms and to investigate the benefits of adaptivity an
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14

Lu, Jiaqing. "Numerical Modeling and Computation of Radio Frequency Devices." The Ohio State University, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=osu1543457620064355.

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15

Tomita, Yu. "Numerical and analytical studies of quantum error correction." Diss., Georgia Institute of Technology, 2014. http://hdl.handle.net/1853/53468.

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A reliable large-scale quantum computer, if built, can solve many real-life problems exponentially faster than the existing digital devices. The biggest obstacle to building one is that they are extremely sensitive and error-prone regardless of the selection of physical implementation. Both data storage and data manipulation require careful implementation and precise control due to its quantum mechanical nature. For the development of a practical and scalable computer, it is essential to identify possible quantum errors and reduce them throughout every layer of the hierarchy of quantum computa
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16

Li, Zhou, of Western Sydney Nepean University, and of Mechatronic Computer and Electrical Engineering School. "Numerical computation of core losses in permanent magnet machines." THESIS_XXXX_MCEE_Li_Z.xml, 2000. http://handle.uws.edu.au:8081/1959.7/284.

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This thesis presents a study on core loss calculations in rotating electrical machines. The basic concepts concerning magnetic moments, ferromagnetism, magnetic domains and magnetic hysteresis are introduced. The three-term models for alternating and rotational core losses in electrical steel sheets are presented. Several core loss measurement techniques are reviewed and an experiment is carried out to measure the total core losses in an electrical sheet steel sample under alternating and rotational magnetic fields of various frequencies and amplitudes. The coefficients in the loss models for
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17

Peng, Hongxuan. "Numerical computation of multi-hull ship resistance and motion." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2001. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp05/NQ63482.pdf.

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18

Lanzoni, J. "Numerical computation of resonances and pseudospectra in acoustic scattering." Thesis, University College London (University of London), 2016. http://discovery.ucl.ac.uk/1474317/.

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Acoustic scattering is a well-known physical phenomenon which arises in a wide range of fields: when acoustic waves propagating in a medium impinge on a localised non-uniformity, such as a density fluctuation or an external obstacle, their trajectories are deviated and scattered waves are generated. A key role in scattering theory is played by resonances; these are particular scatterer-dependent non-physical ‘complex’ frequencies at which acoustic scattering exhibits exceptional behaviour. The study of acoustic resonances for a particular scatterer provides an insight in the behaviour that the
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19

Norton, Richard. "Numerical computation of band gaps in photonic crystal fibres." Thesis, University of Bath, 2008. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.501623.

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Photonic crystal fibres are capable of special light guiding properties that ordinary optical fibres do not possess, and efforts have been made to numerically model these properties. The plane wave expansion method is one of the numerical methods that has been used. Unfortunately, the function that describes the material in the fibre n(x) is discontinuous, and convergence of the plane wave expansion method is adversely affected by this. For this reason, the plane wave expansion method may not be every applied mathematician’s first choice method but we will show that it is comparable in impleme
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20

Koyyapu, Naresh Kumar. "Numerical Computation of Transient Response of 2D Wedge Impact." ScholarWorks@UNO, 2016. http://scholarworks.uno.edu/td/2260.

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The diverse applications of advanced marine craft ascribed to their high speed and technological advancements has led to the use of stronger and lighter metals in such crafts. High speed, in effect also increases slamming loads as higher speed increases frequency of wave encounter while operating in waves. The present study is limited to wedge impact models. Fundamentally, the study is thus about two-dimensional (2D) wedge impact in water. In an attempt to predict the structural response to impact hydrodynamic force, a beam element based finite element (FE) computer program is written and the
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21

Li, Zhou. "Numerical computation of core losses in permanent magnet machines." Thesis, View thesis, 2000. http://handle.uws.edu.au:8081/1959.7/284.

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This thesis presents a study on core loss calculations in rotating electrical machines. The basic concepts concerning magnetic moments, ferromagnetism, magnetic domains and magnetic hysteresis are introduced. The three-term models for alternating and rotational core losses in electrical steel sheets are presented. Several core loss measurement techniques are reviewed and an experiment is carried out to measure the total core losses in an electrical sheet steel sample under alternating and rotational magnetic fields of various frequencies and amplitudes. The coefficients in the loss models for
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22

Li, Zhou. "Numerical computation of core losses in permanent magnet machines /." View thesis, 2000. http://library.uws.edu.au/adt-NUWS/public/adt-NUWS20030901.113715/index.html.

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Thesis (M.Sc (Hons)) -- University of Western Sydney, Nepean, 2000.<br>"Submitted for the degree of Master of Engineering (Hons), School of Mechatronic, Computer & Electrical Engineering, University of Western Sydney, Nepean" Includes bibliographical references (leaves 107-114).
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23

Dyson, Peter. "Numerical computation of fluid properties at nano/meso scales." Thesis, Swansea University, 2006. https://cronfa.swan.ac.uk/Record/cronfa42784.

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Engineering systems are increasingly being developed with dimensions within the micro to nano scale. Mature simulation schemes are available for large scale systems (> 0.5mum) in the form of continuum mechanics, and for small scale systems (< 50nn). However, there is to simulation scheme that covers the middle, meso scale, range between them. The work presented in this thesis focuses on the development of a computational framework focused on fluid systems on the nano- meso scale, with characteristic dimensions between 50nm and 500nm. Existing methods approach the meso scale either with approxi
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24

Motamed, Mohammad. "Topics in Analysis and Computation of Linear Wave Propagation." Doctoral thesis, Stockhollm : Numerical Analysis, Kungliga tekniska högskolan, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4715.

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25

Dutta, Jayanta. "Computational aspects of some mathematical and numerical problems." Thesis, University of North Bengal, 2015. http://ir.nbu.ac.in/handle/123456789/1850.

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26

Geçgel, Murat. "Parallel, navier-stokes computation of the flowfield of a hovering helicopter rotor." Ankara : METU, 2003. http://etd.lib.metu.edu.tr/upload/12604807/index.pdf.

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Thesis (M.S.)--Middle East Technical University, 2003.<br>Keywords: Rotary wing, thin₆layer Navier₆Stokes equations, finite volume method, structured grid, parallel processing, MPI, blade₆vortex interactions, flat plate.
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27

Sakajo, Takashi. "Numerical Computation of three-dimensional vortex sheet with swirl flow." 京都大学 (Kyoto University), 1999. http://hdl.handle.net/2433/181452.

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28

Al-Awadi, Huda. "Efficient numerical computation of the dynamics of a spherical bubble." Thesis, University of Brighton, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.341282.

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29

Zhao, Shouqi. "Dependent risk modelling and ruin probability : numerical computation and applications." Thesis, City University London, 2014. http://openaccess.city.ac.uk/13702/.

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In this thesis, we are concerned with the finite-time ruin probabilities in two alternative dependent risk models, the insurance risk model and the dual risk model, including the numerical evaluation of the explicit expressions for these quantities and the application of the probabilistic results obtained. We first investigate the numerical properties of the formulas for the finite-time ruin probability derived by Ignatov and Kaishev (2000, 2004) and Ignatov et al. (2001) for a generalized insurance risk model allowing dependence. Efficient numerical algorithms are proposed for computing the r
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30

Song, Weihong. "A real space approach to LEED computation with flexible local mesh refinement." Click to view the E-thesis via HKUTO, 2004. http://sunzi.lib.hku.hk/hkuto/record/B39849004.

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31

Song, Weihong, and 宋慰鴻. "A real space approach to LEED computation with flexible local mesh refinement." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2004. http://hub.hku.hk/bib/B39849004.

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32

Onoufriou, Andros. "The numerical computation of wall shear stress with applications in stenosis." Thesis, University of Hertfordshire, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.485945.

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Numerical investigations have been carried out for steady flow through an idealised model of an arterial stenosis at physiological Reynolds numbers of500 and 2000 using the large-eddy simulation turbulence methodology and quantitative comparisons have been made with published experimental data. The results indicate that the largeeddy simulation, methodology is suitable for modelling arterial stenosis flows, which reinforces other published work that came to the same conclusion but from a purely qualitative perspective. Moreover, investigations into simpler, classical, problems in the field ofs
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33

Austin, Anthony P. "Some new results on, and applications of, interpolation in numerical computation." Thesis, University of Oxford, 2016. https://ora.ox.ac.uk/objects/uuid:11c16937-4a59-494d-a06f-6d27b634e2f3.

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This thesis discusses several topics related to interpolation and how it is used in numerical analysis. It begins with an overview of the aspects of interpolation theory that are relevant to the discussion at hand before presenting three new contributions to the field. The first new result is a detailed error analysis of the barycentric formula for trigonometric interpolation in equally-spaced points. We show that, unlike the barycentric formula for polynomial interpolation in Chebyshev points (and contrary to the main view in the literature), this formula is not always stable. We demonstrate
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34

Albaiz, Abdulaziz (Abdulaziz Mohammad). "MPI-based scalable computing platform for parallel numerical application." Thesis, Massachusetts Institute of Technology, 2014. http://hdl.handle.net/1721.1/95562.

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Thesis: S.M., Massachusetts Institute of Technology, Computation for Design and Optimization Program, 2014.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (page 61).<br>Developing parallel numerical applications, such as simulators and solvers, involves a variety of challenges in dealing with data partitioning, workload balancing, data dependencies, and synchronization. Many numerical applications share the need for an underlying parallel framework for parallelization on multi-core/multi-machine hardware. In this thesis, a computing platform for parallel numeri
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Xiao, Qinwen. "Optimizing beer distribution game order policy using numerical simulations." Thesis, Massachusetts Institute of Technology, 2009. http://hdl.handle.net/1721.1/55081.

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Thesis (S.M.)--Massachusetts Institute of Technology, Computation for Design and Optimization Program, 2009.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (p. 63-64).<br>One of the major challenges in supply chain management is the level of information availability. It is very hard yet important to coordinate each stage in the supply chain when the information is not centralized and the demand is uncertain. In this thesis, I analyzed the bullwhip effect in supply chain management using the MIT Beer Distribution Game. I also proposed heuristics and models to op
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Alhubail, Maitham Makki (Maitham Makki Hussain). "A thread-based parallel programming library for numerical algorithms." Thesis, Massachusetts Institute of Technology, 2014. http://hdl.handle.net/1721.1/90080.

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Thesis: S.M., Massachusetts Institute of Technology, Computation for Design and Optimization Program, 2014.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (page 47).<br>This thesis presents a new simple lightweight C++ thread based parallelization library, intended for use in numerical algorithms. It provides simple multitasking and task synchronization functions. The library hides all internal system calls from the developer and utilizes thread pooling to provide better performance and utilization of system time and resources. The library is lightweight and pl
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37

Harb, Ammar. "Discrete Stability of DPG Methods." PDXScholar, 2016. http://pdxscholar.library.pdx.edu/open_access_etds/2916.

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This dissertation presents a duality theorem of the Aubin-Nitsche type for discontinuous Petrov Galerkin (DPG) methods. This explains the numerically observed higher convergence rates in weaker norms. Considering the specific example of the mild-weak (or primal) DPG method for the Laplace equation, two further results are obtained. First, for triangular meshes, the DPG method continues to be solvable even when the test space degree is reduced, provided it is odd. Second, a non-conforming method of analysis is developed to explain the numerically observed convergence rates for a test space of r
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Hurley, Robert C. "Computation of monopole antenna currents using cylindrical harmonic expansions." Thesis, Monterey, California. Naval Postgraduate School, 1988. http://hdl.handle.net/10945/22966.

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Approved for public release; distribution is unlimited<br>This thesis investigates the viability of a new method for numerically computing the input impedance and the currents on simple antenna structures. This technique considers the antenna between two ground planes and uses multiregion cylindrical harmonic expansions with tangential field continuity to obtain the surface currents and input impedance. The computed results are compared to the results obtained from the Numerical Electromagnetics Code for various physical parameters to assess computational accuracy.<br>http://archive.or
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Xie, Lutao. "Numerical approaches to optimize dispatch on microgrids with energy storage." Thesis, Massachusetts Institute of Technology, 2016. http://hdl.handle.net/1721.1/104567.

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Thesis: S.M., Massachusetts Institute of Technology, Computation for Design and Optimization Program, 2016.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (pages 49-50).<br>Microgrids and distributed generation are predicted to become extremely dominant in developing nations, and will be largely beneficial to both electricity suppliers and consumers. With the penetration of renewable energy into the electricity supply, to maintain a balance between power supply and demand is becoming more difficult. Nevertheless, it is quite feasible that large electrical stora
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40

Beattie, Bridget Joan Healy. "The use of libraries for numerical computation in distributed memory MIMD systems." Thesis, University of Liverpool, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.266172.

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Nikram, Elham. "Three essays on game theory and computation." Thesis, University of Exeter, 2016. http://hdl.handle.net/10871/28755.

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The results section of my thesis includes three chapters. The first two chapters are on theoretical game theory. In both chapters, by mathematical modelling and game theoretical tools, I am predicting the behaviour of the players in some real world issues. Hoteling-Downs model plays an important role in the modern political interpretations. The first chapter of this study investigates an extension of Hoteling-Downs model to have multi-dimensional strategy space and asymmetric candidates. Chapter 3 looks into the inspection game where the inspections are not the same in the series of sequential
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Chan, Chun Tat. "Computation of flows by the finite volume method as applied to unstructured meshes." Thesis, Imperial College London, 1997. http://hdl.handle.net/10044/1/7653.

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Kedia, Kushal Sharad. "Numerical simulations of perforated plate stabilized premixed flames with detailed chemistry." Thesis, Massachusetts Institute of Technology, 2010. http://hdl.handle.net/1721.1/61793.

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Thesis (S.M.)--Massachusetts Institute of Technology, Computation for Design and Optimization Program, 2010.<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. 83-86).<br>The objective of this work is to develop a high efficiency two-dimensional reactive flow solver to investigate perforated-plate stabilized laminar premixed flames. The developed code is used to examine the impact of the operatin
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Li, Zhen. "Numerical computation of an optimal control problem with homogenization in one-dimensional case." [Ames, Iowa : Iowa State University], 2008.

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Kropf, Everett. "Numerical computation of Schwarz-Christoffel transformations and slit maps for multiply connected domains." Diss., Wichita State University, 2012. http://hdl.handle.net/10057/5361.

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Two methods for the numerical conformal mapping of domains with m < ∞ separated circular holes to domains with m polygonal holes are presented; bounded and unbounded domains are both considered. The methods are based on extensions of the classical Schwarz- Christo el transformation to nitely connected domains. The rst method uses a truncated in nite product expressed in terms of re ections through circles, and is found to have a computational time which increases geometrically with the number of levels of re ection used. The second method uses the boundary behavior of the map to construct a
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46

Liu, Yang, and Ziyu Wang. "The Numerical Computation Method of Physical Quantity of Dust Concentration Based on Matlab." Thesis, Högskolan i Gävle, Avdelningen för elektronik, matematik och naturvetenskap, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:hig:diva-19149.

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With the rapid development of the industry all over the world, the consumption of fossil fuel of human activities has reached an extremely high level which result in an incredible dust emission level nowadays. As one of the major environment challenges today, dust pollution has become a vital issue that the human beings have to face and resolve.    To tackle the dust pollution problem, a reliable measurement of the dust concentration level is essential. In recent years, methods with different principles are used to detect the dust concentration have been developed. The methods developed based 
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KASSAR, BRUNO DE BARROS MENDES. "NUMERICAL SIMULATION OF MULTIPHASE FLOWS WITH ENHANCED CURVATURE COMPUTATION BY POINT-CLOUD SAMPLING." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2016. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=27512@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO<br>COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR<br>CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO<br>PROGRAMA DE EXCELENCIA ACADEMICA<br>Volume of Fluid (VOF) é um método amplamente empregado na predição de escoamentos multifásicos devido à sua simplicidade, boas características de conservação de massa e natural tratamento de interfaces topologicamente complexas. No entanto, para escoamentos dominados por tensão interfacial, a literatura tem mostrado que a precisão nas estimativas da tensão interfacial ainda é um
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Michel, Florence. "Transient numerical computation of the temperature of the electronic equipment in passengers cars." Valenciennes, 2009. http://ged.univ-valenciennes.fr/nuxeo/site/esupversions/0c0e0027-679d-4983-a115-263443a25c8a.

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Afin d’assurer la fiabilité des composants électroniques d’un véhicule, leur situation thermique est évaluée successivement à chaque phase du processus de développement. En particulier, il s’agit d’estimer la durée pendant laquelle le système électronique travaille dans son régime optimal de température, alors qu’il est soumis à des conditions de fonctionnement critiques. Pour le calcul de sa température dans des conditions de charge thermique instationnaires, différents modèles numériques et méthodes de simulation ont été développés et validés dans l’étude présente. Dans une première partie,
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Michel, Florence. "Transient numerical computation of the temperature of the electronic equipment in passenger cars." Göttingen Cuvillier, 2009. http://d-nb.info/1000128997/04.

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Alvarez, Vicente. "A numerical computation of eigenfunctions for the Kusuoka Laplacian on the Sierpinski gasket." Diss., UC access only, 2009. http://proquest.umi.com/pqdweb?index=10&did=1874451711&SrchMode=1&sid=4&Fmt=2&VInst=PROD&VType=PQD&RQT=309&VName=PQD&TS=1270059102&clientId=48051.

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Thesis (Ph. D.)--University of California, Riverside, 2009.<br>Includes abstract. Includes bibliographical references (leaves 92-93). Issued in print and online. Available via ProQuest Digital Dissertations.
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