Relevant bibliographies by topics / Numerical error analysis / Dissertations / Theses
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Dissertations / Theses on the topic 'Numerical error analysis'

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Published: 4 June 2021
Last updated: 7 February 2022

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1

Romutis, Todd. "Numerical Smoothness and Error Analysis for Parabolic Equations." Bowling Green State University / OhioLINK, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1522150799203255.

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2

Ndamase-, Nzuzo Pumla Patricia. "Numerical error analysis in foundation phase (Grade 3) mathematics." Thesis, University of Fort Hare, 2014. http://hdl.handle.net/10353/5893.

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The focus of the research was on numerical errors committed in foundation phase mathematics. It therefore explored: (1) numerical errors learners in foundation phase mathematics encounter (2) relationships underlying numerical errors and (3) the implementable strategies suitable for understanding numerical error analysis in foundation phase mathematics (Grade 3). From 375 learners who formed the population of the study in the primary schools (16 in total), the researcher selected by means of a simple random sample technique 80 learners as the sample size, which constituted 10% of the populatio
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3

Reddinger, Kaitlin Sue. "Numerical Stability & Numerical Smoothness of Ordinary Differential Equations." Bowling Green State University / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1431597407.

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4

Pinchuk, Amy Ruth. "Automatic adaptive finite element mesh generation and error estimation." Thesis, McGill University, 1985. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=63269.

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5

Higham, D. J. "Error control in nonstiff initial value solvers." Thesis, University of Manchester, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.234210.

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6

Balsubramanian, Ravishankar. "Error estimation and grid adaptation for functional outputs using discrete-adjoint sensitivity analysis." Master's thesis, Mississippi State : Mississippi State University, 2002. http://library.msstate.edu/etd/show.asp?etd=etd-10032002-113749.

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7

Shaw, Jeremy A. "Computational Algorithms for Improved Representation of the Model Error Covariance in Weak-Constraint 4D-Var." PDXScholar, 2017. https://pdxscholar.library.pdx.edu/open_access_etds/3473.

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Four-dimensional variational data assimilation (4D-Var) provides an estimate to the state of a dynamical system through the minimization of a cost functional that measures the distance to a prior state (background) estimate and observations over a time window. The analysis fit to each information input component is determined by the specification of the error covariance matrices in the data assimilation system (DAS). Weak-constraint 4D-Var (w4D-Var) provides a theoretical framework to account for modeling errors in the analysis scheme. In addition to the specification of the background error c
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8

Wyant, Timothy Joseph. "Numerical study of error propagation in Monte Carlo depletion simulations." Thesis, Georgia Institute of Technology, 2012. http://hdl.handle.net/1853/44809.

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Improving computer technology and the desire to more accurately model the heterogeneity of the nuclear reactor environment have made the use of Monte Carlo depletion codes more attractive in recent years, and feasible (if not practical) even for 3-D depletion simulation. However, in this case statistical uncertainty is combined with error propagating through the calculation from previous steps. In an effort to understand this error propagation, four test problems were developed to test error propagation in the fuel assembly and core domains. Three test cases modeled and tracked individual
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9

Camacho, Fernando F. "A Posteriori Error Estimates for Surface Finite Element Methods." UKnowledge, 2014. http://uknowledge.uky.edu/math_etds/21.

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Problems involving the solution of partial differential equations over surfaces appear in many engineering and scientific applications. Some of those applications include crystal growth, fluid mechanics and computer graphics. Many times analytic solutions to such problems are not available. Numerical algorithms, such as Finite Element Methods, are used in practice to find approximate solutions in those cases. In this work we present L2 and pointwise a posteriori error estimates for Adaptive Surface Finite Elements solving the Laplace-Beltrami equation −△Γ u = f . The two sources of errors for
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10

Czuprynski, Kenneth Daniel. "Numerical analysis in energy dependent radiative transfer." Diss., University of Iowa, 2017. https://ir.uiowa.edu/etd/5925.

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The radiative transfer equation (RTE) models the transport of radiation through a participating medium. In particular, it captures how radiation is scattered, emitted, and absorbed as it interacts with the medium. This process arises in numerous application areas, including: neutron transport in nuclear reactors, radiation therapy in cancer treatment planning, and the investigation of forming galaxies in astrophysics. As a result, there is great interest in the solution of the RTE in many different fields. We consider the energy dependent form of the RTE and allow media containing regions of n
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11

Kuhn, Wolfgang. "Rigorous and reasonable error bounds for the numerical solution of dynamical systems." Diss., Georgia Institute of Technology, 1997. http://hdl.handle.net/1853/28941.

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12

Moan, Per Christian. "On backward error analysis and Nekhoroshev stability in the numerical analysis of conservative systems of ODEs." Thesis, University of Cambridge, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.620431.

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13

Murali, Vasanth Kumar. "Code verification using the method of manufactured solutions." Master's thesis, Mississippi State : Mississippi State University, 2002. http://library.msstate.edu/etd/show.asp?etd=etd-11112002-121649.

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14

Wu, Jian. "Numerical Smoothness of ENO and WENO Schemes for Nonlinear Conservation Laws." Bowling Green State University / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1307575652.

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15

Ortner, Christoph. "Analysis of the quasicontinuum method." Thesis, University of Oxford, 2006. http://ora.ox.ac.uk/objects/uuid:664de544-d57d-4bca-9c5d-558f4c4e93f4.

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The aim of this work is to provide a mathematical and numerical analysis of the static quasicontinuum (QC) method. The QC method is, in essence, a finite element method for atomistic material models. By restricting the set of admissible deformations to linear splines with respect to a finite element mesh, the computational complexity of atomistic material models is reduced considerably. We begin with a general review of atomistic material models and the QC method and, most importantly, a thorough discussion of the correct concept of static equilibrium. For example, it is shown that, in contras
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16

Hoel, Håkon. "Complexity and Error Analysis of Numerical Methods for Wireless Channels, SDE, Random Variables and Quantum Mechanics." Doctoral thesis, KTH, Numerisk analys, NA (stängd 2012-06-30), 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-94150.

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This thesis consists of the four papers which consider different aspects of stochastic process modeling, error analysis, and minimization of computational cost.      In Paper I, we construct a Multipath Fading Channel (MFC) model for wireless channels with noise introduced through scatterers flipping on and off. By coarse graining the MFC model a Gaussian process channel model is developed. Complexity and accuracy comparisons of the models are conducted.      In Paper II, we generalize a multilevel Forward Euler Monte Carlo method introduced by Mike Giles for the approximation of expected valu
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17

Evans, M. E. "Numerical analysis of error sources associated with a laser interferometer used in the calibration of rotary tables." Thesis, Swansea University, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.636933.

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The main objective of the work was to investigate the measurement errors in an interferometer system which arise from manufacture or from the level of skill of the operator. A computer model using a ray-trace was used to simulate the use of the interferometer in calibrating a rotary table. This application of an angle measuring interferometer is currently being developed by Renishaw Transducer Systems, Ltd. as an extension to their existing product. The errors associated with this application have been investigated both in isolation and in combination. The theoretical results indicate that wit
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18

Bondarava, Alina Verfasser], and Klaus [Akademischer Betreuer] [Deckelnick. "Stability and error analysis for a numerical scheme to approximate elastic flow / Alina Bondarava. Betreuer: Klaus Deckelnick." Magdeburg : Universitätsbibliothek, 2015. http://d-nb.info/1082625825/34.

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19

Plet, Antoine. "Contribution to error analysis of algorithms in floating-point arithmetic." Thesis, Lyon, 2017. http://www.theses.fr/2017LYSEN038/document.

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L’arithmétique virgule flottante est une approximation de l’arithmétique réelle dans laquelle chaque opération peut introduire une erreur. La norme IEEE 754 requiert que les opérations élémentaires soient aussi précises que possible, mais au cours d’un calcul, les erreurs d’arrondi s’accumulent et peuvent conduire à des résultats totalement faussés. Cela arrive avec une expression aussi simple que ab + cd, pour laquelle l’algorithme naïf retourne parfois un résultat aberrant, avec une erreur relative largement supérieure à 1. Il est donc important d’analyser les algorithmes utilisés pour contr
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20

Lux, Thomas Christian Hansen. "Interpolants, Error Bounds, and Mathematical Software for Modeling and Predicting Variability in Computer Systems." Diss., Virginia Tech, 2020. http://hdl.handle.net/10919/100059.

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Function approximation is an important problem. This work presents applications of interpolants to modeling random variables. Specifically, this work studies the prediction of distributions of random variables applied to computer system throughput variability. Existing approximation methods including multivariate adaptive regression splines, support vector regressors, multilayer perceptrons, Shepard variants, and the Delaunay mesh are investigated in the context of computer variability modeling. New methods of approximation using Box splines, Voronoi cells, and Delaunay for interpolating distr
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21

Rana, Muhammad Sohel. "Analysis and Implementation of Numerical Methods for Solving Ordinary Differential Equations." TopSCHOLAR®, 2017. https://digitalcommons.wku.edu/theses/2053.

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Numerical methods to solve initial value problems of differential equations progressed quite a bit in the last century. We give a brief summary of how useful numerical methods are for ordinary differential equations of first and higher order. In this thesis both computational and theoretical discussion of the application of numerical methods on differential equations takes place. The thesis consists of an investigation of various categories of numerical methods for the solution of ordinary differential equations including the numerical solution of ordinary differential equations from a number
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22

Cibik, Aytekin Bayram. "Numerical Analysis Of A Projection-based Stabilization Method For The Natural Convection Problems." Phd thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12613465/index.pdf.

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In this thesis, we consider a projection-based stabilization method for solving buoyancy driven flows (natural convection problems). The method consists of adding global stabilization for all scales and then anti-diffusing these effects on the large scales defined by projections into appropriate function spaces. In this way, stabilization acts only on the small scales. We consider two different variations of buoyancy driven flows based on the projection-based stabilization. First, we focus on the steady-state natural convection problem of heat transport through combined solid and fluid media i
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23

Davis, Clayton Paul. "Understanding and Improving Moment Method Scattering Solutions." Diss., CLICK HERE for online access, 2004. http://contentdm.lib.byu.edu/ETD/image/etd620.pdf.

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24

Shikongo, Albert. "Numerical Treatment of Non-Linear singular pertubation problems." Thesis, Online access, 2007. http://etd.uwc.ac.za/usrfiles/modules/etd/docs/etd_gen8Srv25Nme4_3831_1257936459.pdf.

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25

Asner, Liya. "Efficient numerical methods for the solution of coupled multiphysics problems." Thesis, University of Oxford, 2014. http://ora.ox.ac.uk/objects/uuid:a38b0c37-f18e-4c05-adbb-b57c911feeb9.

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Multiphysics systems with interface coupling are used to model a variety of physical phenomena, such as arterial blood flow, air flow around aeroplane wings, or interactions between surface and ground water flows. Numerical methods enable the practical application of these models through computer simulations. Specifically a high level of detail and accuracy is achieved in finite element methods by discretisations which use extremely large numbers of degrees of freedom, rendering the solution process challenging from the computational perspective. In this thesis we address this challenge by dev
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26

Tempone, Olariaga Raul. "Numerical Complexity Analysis of Weak Approximation of Stochastic Differential Equations." Doctoral thesis, KTH, Numerisk analys och datalogi, NADA, 2002. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-3413.

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The thesis consists of four papers on numerical complexityanalysis of weak approximation of ordinary and partialstochastic differential equations, including illustrativenumerical examples. Here by numerical complexity we mean thecomputational work needed by a numerical method to solve aproblem with a given accuracy. This notion offers a way tounderstand the efficiency of different numerical methods. The first paper develops new expansions of the weakcomputational error for Itˆo stochastic differentialequations using Malliavin calculus. These expansions have acomputable leading order term in a
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27

Nilsson, Martin. "Fast Numerical Techniques for Electromagnetic Problems in Frequency Domain." Doctoral thesis, Uppsala : Acta Universitatis Upsaliensis : Univ.-bibl. [distributör], 2003. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-3884.

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28

Gonçalves, João Luis 1982. "Indicadores de erros a posteriori na aproximação de funcionais de soluções de problemas elípticos no contexto do método Galerkin descontínuo hp-adaptivo." [s.n.], 2011. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306590.

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Orientador: Sônia Maria Gomes, Philippe Remy Bernard Devloo, Igor Mozolevski<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica<br>Made available in DSpace on 2018-08-19T03:23:02Z (GMT). No. of bitstreams: 1 Goncalves_JoaoLuis_D.pdf: 15054031 bytes, checksum: 23ef9ef75ca5a7ae7455135fc552a678 (MD5) Previous issue date: 2011<br>Resumo: Neste trabalho, estudamos indicadores a posteriori para o erro na aproximação de funcionais das soluções das equações biharmônica e de Poisson obtidas pelo método de Galerkin descontínuo. A metod
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29

Zhang, Yeliang. "Physics Aware Programming Paradigm and Runtime Manager." Diss., The University of Arizona, 2007. http://hdl.handle.net/10150/195294.

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The overarching goal of this dissertation research is to realize a virtual collaboratory for the investigation of large-scale scientific computing applications which generally experience different execution phases at runtime and each phase has different computational, communication and storage requirements as well as different physical characteristics. Consequently, an optimal solution or numerical scheme for one execution phase might not be appropriate for the next phase of the application execution. Choosing the ideal numerical algorithms and solutions for all application runtime phases rema
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30

Giacomini, Matteo. "Quantitative a posteriori error estimators in Finite Element-based shape optimization." Thesis, Université Paris-Saclay (ComUE), 2016. http://www.theses.fr/2016SACLX070/document.

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Les méthodes d’optimisation de forme basées sur le gradient reposent sur le calcul de la dérivée de forme. Dans beaucoup d’applications, la fonctionnelle coût dépend de la solution d’une EDP. Il s’en suit qu’elle ne peut être résolue exactement et que seule une approximation de celle-ci peut être calculée, par exemple par la méthode des éléments finis. Il en est de même pour la dérivée de forme. Ainsi, les méthodes de gradient en optimisation de forme - basées sur des approximations du gradient - ne garantissent pas a priori que la direction calculée à chaque itération soit effectivement une d
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31

Mautner, Karin. "Numerical treatment of the Black-Scholes variational inequality in computational finance." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2007. http://dx.doi.org/10.18452/15595.

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In der Finanzmathematik hat der Besitzer einer amerikanische Option das Recht aber nicht die Pflicht, eine Aktie innerhalb eines bestimmten Zeitraums, für einen bestimmten Preis zu kaufen oder zu verkaufen. Die Bewertung einer amerikanische Option wird als so genanntes optimale stopping Problem formuliert. Erfolgt die Modellierung des Aktienkurses durch eine geometrische Brownsche Bewegung, wird der Wert einer amerikanischen Option durch ein deterministisches freies Randwertproblem (FRWP), oder einer äquivalenten Variationsungleichung (VU) auf ganz R in gewichteten Sobolev Räumen gegebe
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32

Chean, Shen Lee. "Numerical study for acoustic micro-imaging of three dimensional microelectronic packages." Thesis, Liverpool John Moores University, 2014. http://researchonline.ljmu.ac.uk/4502/.

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Complex structures and multiple interfaces of modern microelectronic packages complicate the interpretation of acoustic data. This study has four novel contributions. 1) Contributions to the finite element method. 2) Novel approaches to reduce computational cost. 3) New post processing technologies to interpret the simulation data. 4) Formation of theoretical guidance for acoustic image interpretation. The impact of simulation resolution on the numerical dispersion error and the exploration of quadrilateral infinite boundaries make up the first part of this thesis's contributions. The former f
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33

Leibold, Jan [Verfasser], and M. [Akademischer Betreuer] Hochbruck. "A unified error analysis for the numerical solution of nonlinear wave-type equations with application to kinetic boundary conditions / Jan Leibold ; Betreuer: M. Hochbruck." Karlsruhe : KIT-Bibliothek, 2021. http://d-nb.info/1229514643/34.

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34

Saeed, Usman. "Adaptive numerical techniques for the solution of electromagnetic integral equations." Diss., Georgia Institute of Technology, 2011. http://hdl.handle.net/1853/41173.

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Various error estimation and adaptive refinement techniques for the solution of electromagnetic integral equations were developed. Residual based error estimators and h-refinement implementations were done for the Method of Moments (MoM) solution of electromagnetic integral equations for a number of different problems. Due to high computational cost associated with the MoM, a cheaper solution technique known as the Locally-Corrected Nyström (LCN) method was explored. Several explicit and implicit techniques for error estimation in the LCN solution of electromagnetic integral equations were pro
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35

Wang, Hao. "Analysis of the quasicontinuum method and its application." Thesis, University of Oxford, 2013. http://ora.ox.ac.uk/objects/uuid:8bef60f0-74f1-44f5-bcbe-d64d4afad15f.

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The present thesis is on the error estimates of different energy based quasicontinuum (QC) methods, which are a class of computational methods for the coupling of atomistic and continuum models for micro- or nano-scale materials. The thesis consists of two parts. The first part considers the a priori error estimates of three energy based QC methods. The second part deals with the a posteriori error estimates of a specific energy based QC method which was recently developed. In the first part, we develop a unified framework for the a priori error estimates and present a new and simpler proof ba
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36

Carlsson, Jesper. "Pontryagin approximations for optimal design." Licentiate thesis, Stockholm, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4089.

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37

Wu, Wei. "Paving the Randomized Gauss-Seidel." Scholarship @ Claremont, 2017. http://scholarship.claremont.edu/scripps_theses/1074.

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The Randomized Gauss-Seidel Method (RGS) is an iterative algorithm that solves overdetermined systems of linear equations Ax = b. This paper studies an update on the RGS method, the Randomized Block Gauss-Seidel Method. At each step, the algorithm greedily minimizes the objective function L(x) = kAx bk2 with respect to a subset of coordinates. This paper describes a Randomized Block Gauss-Seidel Method (RBGS) which uses a randomized control method to choose a subset at each step. This algorithm is the first block RGS method with an expected linear convergence rate which can be described by the
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38

Jones, Clinton Christopher. "Determining Coefficients of Checking Polynomials for an Algebraic Method of Fault Tolerant Computations of Numerical Functions." Thesis, Georgia Institute of Technology, 2004. http://hdl.handle.net/1853/5242.

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This thesis presents a practical means for determining checking polynomials for the fault tolerant computation of numerical functions. This method is based on certain algebraic features of the numerical functions such as the transcendence degree of a field extension. Checking polynomials are given for representative simple and compound numerical functions. Some of these checking models are implemented in a simulation environment. The program developed provides the means for generating checking polynomials for a broad class of numerical functions. Considerations for designing and deploying chec
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39

Heck, Miriam Ferrazza. "ANÁLISE DE ERROS EM QUESTÕES SOBRE SEQUÊNCIAS NUMÉRICAS: UMA CONTRIBUIÇÃO PARA A FORMAÇÃO DO PROFESSOR DE MATEMÁTICA." Centro Universitário Franciscano, 2017. http://www.tede.universidadefranciscana.edu.br:8080/handle/UFN-BDTD/584.

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Submitted by MARCIA ROVADOSCHI (marciar@unifra.br) on 2018-08-20T14:00:11Z No. of bitstreams: 2 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Dissertacao_MiriamFerrazzaHeck.pdf: 2176140 bytes, checksum: d350ec6bb3b796fe029f23b3ef533029 (MD5)<br>Made available in DSpace on 2018-08-20T14:00:11Z (GMT). No. of bitstreams: 2 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Dissertacao_MiriamFerrazzaHeck.pdf: 2176140 bytes, checksum: d350ec6bb3b796fe029f23b3ef533029 (MD5) Previous issue date: 2017-01-09<br>This qualitative research had as general obje
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Theveny, Philippe. "Numerical Quality and High Performance In Interval Linear Algebra on Multi-Core Processors." Thesis, Lyon, École normale supérieure, 2014. http://www.theses.fr/2014ENSL0941/document.

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L'objet est de comparer des algorithmes de multiplication de matrices à coefficients intervalles et leurs implémentations.Le premier axe est la mesure de la précision numérique. Les précédentes analyses d'erreur se limitent à établir une borne sur la surestimation du rayon du résultat en négligeant les erreurs dues au calcul en virgule flottante. Après examen des différentes possibilités pour quantifier l'erreur d'approximation entre deux intervalles, l'erreur d'arrondi est intégrée dans l'erreur globale. À partir de jeux de données aléatoires, la dispersion expérimentale de l'erreur globale p
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41

Wagner, Bradley Dean. "An analysis of the numerical error as a function of the Peclet number, Courant number and time weighting factor in the use of the groundwater mass transport program, MOTIF." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape4/PQDD_0017/MQ54755.pdf.

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42

Chesneaux, Jean-Marie. "Etude theorique et implementation en ada de la methode cestac." Paris 6, 1988. http://www.theses.fr/1988PA066143.

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L'utilisation des ordinateurs dans le calcul scientifique a toujours pose le probleme de la precision des resultats obtenus du fait de la propagation des erreurs d'arrondi. La methode probabiliste cestac, fondee sur une perturbation aleatoire du dernier bit de la mantisse des resultats intermediaires, a toujours donne d'excellents resultats. Dans une premiere partie, une modelisation de cestac permet de justifier sa validite tant pour l'emploi du test de student pour estimer la precision des calculs que pour l'etude du biais entre la moyenne de distribution et le resultat mathematique exact. D
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43

Cooper, Jonathan Paul. "Automatic validation and optimisation of biological models." Thesis, University of Oxford, 2009. http://ora.ox.ac.uk/objects/uuid:24b96d62-b47c-458d-9dff-79b27dbdc9f2.

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Simulating the human heart is a challenging problem, with simulations being very time consuming, to the extent that some can take days to compute even on high performance computing resources. There is considerable interest in computational optimisation techniques, with a view to making whole-heart simulations tractable. Reliability of heart model simulations is also of great concern, particularly considering clinical applications. Simulation software should be easily testable and maintainable, which is often not the case with extensively hand-optimised software. It is thus crucial to automate
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44

Belhout, Mohamed. "Analyse numérique de perturbations singulières d'opérateurs du premier ordre en temps et polynôme Lp extrémaux." Thesis, Lyon, INSA, 2012. http://www.theses.fr/2012ISAL0065/document.

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Dans la première partie de ce travail nous considérons des problèmes hyperboliques du premier ordre linéaires où des problèmes paraboliques linéaires dégénérés en temps. En utilisant une méthode de matrice de masse singulière, nous proposons une méthode d’élément finis permettant d’avoir des estimations d’erreur en espace optimale pour l’élément fini de Lagrange P1 par exemple. Nous appliquons ces résultats au cas d’un système parabolique utilisé en electroradiologie. La seconde partie est consacrée aux polynômes Lp extrémaux à l’extérieur du cercle unité associés à une mesure de la forme géné
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Nazarov, Murtazo. "Adaptive Algorithms and High Order Stabilization for Finite Element Computation of Turbulent Compressible Flow." Doctoral thesis, KTH, Numerisk analys, NA, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-34532.

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This work develops finite element methods with high order stabilization, and robust and efficient adaptive algorithms for Large Eddy Simulation of turbulent compressible flows. The equations are approximated by continuous piecewise linear functions in space, and the time discretization is done in implicit/explicit fashion: the second order Crank-Nicholson method and third/fourth order explicit Runge-Kutta methods. The full residual of the system and the entropy residual, are used in the construction of the stabilization terms. These methods are consistent for the exact solution, conserves all
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46

Ghate, Devendra. "Inexpensive uncertainty analysis for CFD applications." Thesis, University of Oxford, 2014. http://ora.ox.ac.uk/objects/uuid:6be44a1d-6e2f-4bf9-b1e5-1468f92e21e3.

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The work presented in this thesis aims to provide various tools to be used during design process to make maximum use of the increasing availability of accurate engine blade measurement data for high fidelity fluid mechanic simulations at a reasonable computational expense. A new method for uncertainty propagation for geometric error has been proposed for fluid mechanics codes using adjoint error correction. Inexpensive Monte Carlo (IMC) method targets small uncertainties and provides complete probability distribution for the objective function at a significantly reduced computational cost. A b
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47

Relton, Samuel. "Algorithms for matrix functions and their Fréchet derivatives and condition numbers." Thesis, University of Manchester, 2015. https://www.research.manchester.ac.uk/portal/en/theses/algorithms-for-matrix-functions-and-their-frechet-derivatives-and-condition-numbers(f20e8144-1aa0-45fb-9411-ddc0dc7c2c31).html.

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48

Aydin, Ayhan. "Geometric Integrators For Coupled Nonlinear Schrodinger Equation." Phd thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/12605773/index.pdf.

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Multisymplectic integrators like Preissman and six-point schemes and a semi-explicit symplectic method are applied to the coupled nonlinear Schr&ouml<br>dinger equations (CNLSE). Energy, momentum and additional conserved quantities are preserved by the multisymplectic integrators, which are shown using modified equations. The multisymplectic schemes are backward stable and non-dissipative. A semi-explicit method which is symplectic in the space variable and based on linear-nonlinear, even-odd splitting in time is derived. These methods are applied to the CNLSE with plane wave and soliton solu
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Filippini, Andrea Gilberto. "Free surface flow simulation in estuarine and coastal environments : numerical development and application on unstructured meshes." Thesis, Bordeaux, 2016. http://www.theses.fr/2016BORD0404/document.

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Over the last decades, there has been considerable attention in the accurate mathematical modeling and numerical simulations of free surface wave propagation in near-shore environments. A physical correct description of the large scale phenomena, which take place in the shallow water region, must account for strong nonlinear and dispersive effects, along with the interaction with complex topographies. First, a study on the behavior in nonlinear regime of different Boussinesq-type models is proposed, showing the advantage of using fully-nonlinear models with respect to weakly-nonlinear and weak
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50

Hafiene, Yosra. "Continuum limits of evolution and variational problems on graphs." Thesis, Normandie, 2018. http://www.theses.fr/2018NORMC254/document.

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L’opérateur du p-Laplacien non local, l’équation d’évolution et la régularisation variationnelle associées régies par un noyau donné ont des applications dans divers domaines de la science et de l’ingénierie. En particulier, ils sont devenus des outils modernes pour le traitement massif des données (y compris les signaux, les images, la géométrie) et dans les tâches d’apprentissage automatique telles que la classification. En pratique, cependant, ces modèles sont implémentés sous forme discrète (en espace et en temps, ou en espace pour la régularisation variationnelle) comme a
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