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Dissertations / Theses on the topic 'Spline methods'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Welham, Suzanne Jane. "Smoothing spline methods within the mixed model framework." Thesis, London School of Hygiene and Tropical Medicine (University of London), 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.425673.

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2

Gutting, Martin. "Fast multipole methods for oblique derivative problems." Aachen Shaker, 2007. http://d-nb.info/988919346/04.

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3

Kaya, Hikmet Emre. "A comparative study between the cubic spline and b-spline interpolation methods in free energy calculations." Master's thesis, Faculty of Science, 2020. http://hdl.handle.net/11427/32228.

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Numerical methods are essential in computational science, as analytic calculations for large datasets are impractical. Using numerical methods, one can approximate the problem to solve it with basic arithmetic operations. Interpolation is a commonly-used method, inter alia, constructing the value of new data points within an interval of known data points. Furthermore, polynomial interpolation with a sufficiently high degree can make the data set differentiable. One consequence of using high-degree polynomials is the oscillatory behaviour towards the endpoints, also known as Runge's Phenomenon.

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4

Ng, Kit Sung. "Quadratic spline collocation methods for systems of elliptic PDEs." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape3/PQDD_0024/MQ50355.pdf.

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5

Wang, Hongrui. "Error and stability analysis for B-spline finite element methods." Thesis, University of Strathclyde, 2015. http://oleg.lib.strath.ac.uk:80/R/?func=dbin-jump-full&object_id=26570.

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The thesis studies the approximation properties of splines with maximum smoothness. We are interested in the behaviour of the approximation as the degree of the spline increases (so does its smoothness). By studying B-spline interpolation, we obtain error estimates measured in the semi-norm that are explicit in terms of mesh size, degree and smoothness. This new result also gives a higher approximation order than existing estimations. With the results, we investigate the B-spline finite element approximation with k-refinement, which is a strategy of improving the accuracy by increasing the deg

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6

Kim, Heeyoung. "Statistical methods for function estimation and classification." Diss., Georgia Institute of Technology, 2011. http://hdl.handle.net/1853/44806.

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This thesis consists of three chapters. The first chapter focuses on adaptive smoothing splines for fitting functions with varying roughness. In the first part of the first chapter, we study an asymptotically optimal procedure to choose the value of a discretized version of the variable smoothing parameter in adaptive smoothing splines. With the choice given by the multivariate version of the generalized cross validation, the resulting adaptive smoothing spline estimator is shown to be consistent and asymptotically optimal under some general conditions. In the second part, we derive the asympt

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7

Zhu, Ying. "Quartic-spline collocation methods for fourth-order two-point boundary value problems." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2001. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/MQ58780.pdf.

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8

Tsao, Su-Ching 1961. "Evaluation of drug absorption by cubic spline and numerical deconvolution." Thesis, The University of Arizona, 1989. http://hdl.handle.net/10150/276954.

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A novel approach using smoothing cubic splines and point-area deconvolution to estimate the absorption kinetics of linear systems has been investigated. A smoothing cubic spline is employed as an interpolation function since it is superior to polynomials and other functions commonly used for representation of empirical data in several aspects. An advantage of the method is that results obtained from the same data set will be more consistent, irrespective of who runs the program or how many times you run it. In addition, no initial estimates are needed to run the program. The same sampling time

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9

O'Bannon, Terry Robert. "A comparison of interpolative methods for cell mapping analyses of nonlinear systems." Thesis, Georgia Institute of Technology, 1988. http://hdl.handle.net/1853/16394.

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10

Berkel, Paula. "Multiscale methods for the combined inversion of normal mode and gravity variations." Aachen Shaker, 2009. http://d-nb.info/997085304/04.

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11

Qi, Weibin. "Image denoising with spline interpolation based on singular value decomposition and other evaluation methods." Thesis, University of Ottawa (Canada), 2005. http://hdl.handle.net/10393/27014.

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In this thesis, we construct two new algorithms for image denoising, namely, spline and spline-wavelet, which combine spline interpolation and wavelets together with nonlinear filtering based on block singular value decomposition. Those two approaches are compared with other existing methods, which involve BlockSvd filter, wavelet (global thresholding) filter, median filter, average filter, and adaptive filter. The performance of these approaches differs little from each other. Generally speaking, median filter is very suitable for processing images to reduce "salt and pepper" noise. But for z

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12

Khabir, Mohmed Hassan Mohmed. "Numerical singular perturbation approaches based on spline approximation methods for solving problems in computational finance." Thesis, University of the Western Cape, 2011. http://etd.uwc.ac.za/index.php?module=etd&action=viewtitle&id=gen8Srv25Nme4_7416_1320395978.

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Options are a special type of derivative securities because their values are derived from the value of some underlying security. Most options can be grouped into either of the two categories: European options which can be exercised only on the expiration date, and American options which can be exercised on or before the expiration date. American options are much harder to deal with than European ones. The reason being the optimal exercise policy of these options which led to free boundary problems. Ever since the seminal work of Black and Scholes [J. Pol. Econ. 81(3) (1973), 637-659], the diff

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13

Rom, Michael [Verfasser]. "B-Spline Volume Meshing for CFD Simulations Using Modified Catmull-Clark Methods / Christian Michael Rom." Aachen : Shaker, 2015. http://d-nb.info/1067734767/34.

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14

Hosters, Norbert [Verfasser], Marek [Akademischer Betreuer] Behr, and Harald van [Akademischer Betreuer] Brummelen. "Spline-based methods for fluid-structure interaction / Norbert Michael Hosters ; Marek Behr, Harald van Brummelen." Aachen : Universitätsbibliothek der RWTH Aachen, 2018. http://d-nb.info/1191482928/34.

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15

Make, Michaël Karl Petronella [Verfasser], Marek [Akademischer Betreuer] Behr, and Stefanie Nicole [Akademischer Betreuer] Elgeti. "Spline-based methods for aerothermoelastic problems / Michael Karl Petronella Make ; Marek Behr, Stefanie Nicole Elgeti." Aachen : Universitätsbibliothek der RWTH Aachen, 2021. http://d-nb.info/1231911743/34.

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16

Videla, Marió Javier Andrés. "Spline-based methods with adaptive refinement for problems of acoustics and fracture mechanics of thin plates." Tesis, Universidad de Chile, 2018. http://repositorio.uchile.cl/handle/2250/170004.

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Tesis para optar al grado de Magíster en Ciencias de la Ingeniería, Mención Mecánica<br>Both the CAD software and FEM software have a significant impact on engineering nowadays. Even though both are powerful tools for design and analysis, the main drawback is that CAD geometries and Finite Element models do not entirely match, which results in the necessity to re-parameterize the geometry many times during the solution cycle in FEM. Isogeometric Analysis (IGA) was proposed to fulfill this gap and create the direct link between the CAD design and FEM analysis. The main idea of IGA is to substit

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17

Wong, Mark. "Comparison of heat maps showing residence price generated using interpolation methods." Thesis, KTH, Skolan för datavetenskap och kommunikation (CSC), 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-214110.

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In this report we attempt to provide insights in how interpolation can be used for creating heat maps showing residence prices for different residence markets in Sweden. More speciﬁcally, three interpolation methods are implemented and are then used on three Swedish residence markets. These three residence markets are of varying characteristics such as size and residence type. Data of residence sales and the physical deﬁnitions of the residence markets were collected. As residence sales are never identical, residence sales were preprocessed to make them comparable. For comparison, a so-called

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18

Rom, Christian Michael Verfasser], Siegfried [Akademischer Betreuer] Müller, and Leif [Akademischer Betreuer] [Kobbelt. "B-Spline Volume Meshing for CFD Simulations Using Modified Catmull-Clark Methods / Christian Michael Rom ; Siegfried Müller, Leif Kobbelt." Aachen : Universitätsbibliothek der RWTH Aachen, 2015. http://d-nb.info/1128175290/34.

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19

Morellato, Saulo Almeida 1983. "Inferência estatística para regressão múltipla h-splines." [s.n.], 2014. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306505.

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Orientador: Ronaldo Dias<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica<br>Made available in DSpace on 2018-08-25T00:25:46Z (GMT). No. of bitstreams: 1 Morellato_SauloAlmeida_D.pdf: 32854783 bytes, checksum: 040664acd0c8f1efe07cedccda8d11f6 (MD5) Previous issue date: 2014<br>Resumo: Este trabalho aborda dois problemas de inferência relacionados à regressão múltipla não paramétrica: a estimação em modelos aditivos usando um método não paramétrico e o teste de hipóteses para igualdade de curvas ajustadas a partir do modelo.

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20

Alcantara, Adeilton Pedro de 1973. "Inferência não paramétrica baseada no método H-splines para a intensidade de processos de Poisson não-homogêneos." [s.n.], 2012. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306513.

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Orientadores: Ronaldo Dias, Nancy Lopes Garcia<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica<br>Made available in DSpace on 2018-08-21T02:16:44Z (GMT). No. of bitstreams: 1 Alcantara_AdeiltonPedrode_D.pdf: 7403994 bytes, checksum: a1b986bd21c825efb7bc7ecbb40c550f (MD5) Previous issue date: 2012<br>Resumo: Esta tese tem por objetivo propor uma nova metodologia baseada no método da expansão por bases B-splines e suas variantes para estimação não paramétrica da função intensidade...Observação: O resumo, na íntegra, poderá

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21

Boschert, Sandra [Verfasser], Angela [Gutachter] Kunoth, Helmut [Gutachter] Harbrecht, and Ulrich [Gutachter] Langer. "B-Spline Based Methods: From Monotone Multigrid Schemes for American Options to Uncertain Volatility Models / Sandra Boschert ; Gutachter: Angela Kunoth, Helmut Harbrecht, Ulrich Langer." Köln : Universitäts- und Stadtbibliothek Köln, 2020. http://d-nb.info/1223091651/34.

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22

Araujo, Thiago Jefferson de. "M?todos num?ricos para resolu??o de equa??es diferenciais ordin?rias lineares baseados em interpola??o por spline." Universidade Federal do Rio Grande do Norte, 2012. http://repositorio.ufrn.br:8080/jspui/handle/123456789/17010.

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Made available in DSpace on 2014-12-17T15:26:38Z (GMT). No. of bitstreams: 1 ThiagoJA_DISSERT.pdf: 636679 bytes, checksum: 3497bfd29c2779ff70f7932b9a308a9c (MD5) Previous issue date: 2012-08-13<br>Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior<br>In this work we have elaborated a spline-based method of solution of inicial value problems involving ordinary differential equations, with emphasis on linear equations. The method can be seen as an alternative for the traditional solvers such as Runge-Kutta, and avoids root calculations in the linear time invariant case. The method is

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23

Unnikrishnan, Suraj. "Adaptive Envelope Protection Methods for Aircraft." Diss., Georgia Institute of Technology, 2006. http://hdl.handle.net/1853/11478.

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Carefree handling refers to the ability of a pilot to operate an aircraft without the need to continuously monitor aircraft operating limits. At the heart of all carefree handling or maneuvering systems, also referred to as envelope protection systems, are algorithms and methods for predicting future limit violations. Recently, envelope protection methods that have gained more acceptance, translate limit proximity information to its equivalent in the control channel. Envelope protection algorithms either use very small prediction horizon or are static methods with no capability to adapt to cha

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24

Fogelklou, Oswald. "Computer-Assisted Proofs and Other Methods for Problems Regarding Nonlinear Differential Equations." Doctoral thesis, Uppsala universitet, Analys och tillämpad matematik, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-161314.

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This PhD thesis treats some problems concerning nonlinear differential equations. In the first two papers computer-assisted proofs are used. The differential equations there are rewritten as fixed point problems, and the existence of solutions are proved. The problem in the first paper is one-dimensional; with one boundary condition given by an integral. The problem in the second paper is three-dimensional, and Dirichlet boundary conditions are used. Both problems have their origins in fluid dynamics. Paper III describes an inverse problem for the heat equation. Given the solution, a solution

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25

Dag, Idris. "Studies of B-spline finite elements." Thesis, Bangor University, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.358041.

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26

Aggarwal, Aditya Mohan. "B-Spline Boundary Element Method for Ships." ScholarWorks@UNO, 2008. http://scholarworks.uno.edu/td/853.

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The development of a three dimensional B-Spline based method, which is suitable for the steady-state potential flow analysis of free surface piercing bodies in hydrodynamics, is presented. The method requires the B-Spline or Non Uniform Rational B-Spline (NURBS) representation of the body as an input. In order to solve for the unknown potential, the source surface, both for the body as well as the free surface, is represented by NURBS surfaces. The method does not require the body surface to be discritized into flat panels. Therefore, instead of a mere panel approximation, the exact body

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27

Zarad, Abdallah. "Developing an advanced spline fatigue prediction method." Thesis, Blekinge Tekniska Högskola, Institutionen för maskinteknik, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:bth-18927.

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Fatigue failure is one of the most critical issues in industry nowadays as 60 to 90 percent of failures in metals are due to fatigue. Therefore, different methods and approaches are developed to estimate the fatigue life of metallic parts. In this research, a case-hardened steel splined shaft is studied to estimate the fatigue life that the shaft will withstand before failure. The purpose of the research is to develop an advanced fatigue prediction method for splines.A static experimental test was performed on the splined shaft for analyzing the load-strain behavior of the shaft and determinin

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28

Taher, Leila. "Computational methods for splice site prediction." [S.l.] : [s.n.], 2006. http://deposit.ddb.de/cgi-bin/dokserv?idn=978938631.

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29

Mößner, Bernhard. "B-splines als Finite Elemente /." Aachen : Shaker, 2006. http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=015210875&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA.

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30

Wong, Chee Kiang. "Intersection of B-spline surfaces by elimination method." Thesis, This resource online, 1990. http://scholar.lib.vt.edu/theses/available/etd-03032009-040559/.

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31

Engelmann, Angelika. "Bernstein-Bézier-Methoden und Interpolation mit bivariaten Splineräumen." [S.l. : s.n.], 2003. http://www.bsz-bw.de/cgi-bin/xvms.cgi?SWB10761307.

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32

Song, Zhaobin. "Fracture analysis of bridges by spline finite strip method." Thesis, University of Ottawa (Canada), 2004. http://hdl.handle.net/10393/29168.

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The primary objective of this thesis is to develop crack strip method and verify the convergency of the method, finally to perform fracture analysis of bridge structures using spline finite strip method. In this thesis, combining the shape function of spline finite strip with the eigenfunction expansions at a crack tip, three types of crack strips, namely anti-plane shear crack strip, plane crack strip and bending crack strip, have been developed, in which cracks are perpendicular to the longitudinal axis of strips and the stress intensity factors can be computed directly. Based on plane crack

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33

Tarang, Mare. "Stability of the spline collocation method for Volterra integro-differential equations." Online version, 2004. http://dspace.utlib.ee/dspace/bitstream/10062/793/5/Tarang.pdf.

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34

Pechmann, Patrick R. "Penalized Least Squares Methoden mit stückweise polynomialen Funktionen zur Lösung von partiellen Differentialgleichungen." kostenfrei, 2008. http://www.opus-bayern.de/uni-wuerzburg/volltexte/2008/2813/.

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35

Alexander, Julie G. "Hydrographic Surface Modeling Through A Raster Based Spline Creation Method." ScholarWorks@UNO, 2014. http://scholarworks.uno.edu/td/1842.

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The United States Army Corp of Engineers relies on accurate and detailed surface models for various construction projects and preventative measures. To aid in these efforts, it is necessary to work for advancements in surface model creation. Current methods for model creation include Delaunay triangulation, raster grid interpolation, and Hydraulic Spline grid generation. While these methods produce adequate surface models, attempts for improved methods can still be made. A method for raster based spline creation is presented as a variation of the Hydraulic Spline algorithm. By implementing Hyd

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36

Lee, Sang-Joon. "Asymptotics and computations for approximation of method of regularization estimators." Diss., Texas A&M University, 2003. http://hdl.handle.net/1969.1/2266.

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Inverse problems arise in many branches of natural science, medicine and engineering involving the recovery of a whole function given only a ﬁnite number of noisy measurements on functionals. Such problems are usually ill-posed, which causes severe diﬃculties for standard least-squares or maximum likelihood estimation techniques. These problems can be solved by a method of regularization. In this dissertation, we study various problems in the method of regularization. We develop asymptotic properties of the optimal smoothing parameters concerning levels of smoothing for estimating the mean fun

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37

Geis, Winfried. "FEM mit web-Spline-Basis analytische und numerische Behandlung geeigneter Gewichtsfunktionen /." [S.l. : s.n.], 2001. http://www.bsz-bw.de/cgi-bin/xvms.cgi?SWB9716178.

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38

Dunn, Rob. "An aerodynamic analysis of aerofoils using a spline-velocity singularity method /." Thesis, McGill University, 1993. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=69712.

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This thesis presents a new approach based on a spline formulation for the analysis of thin aerofoils using the velocity singularity method. The method of velocity singularities was originally developed by Mateescu and Newman in conjunction with a polynomial representation of the normal perturbation velocities. The present method uses a cubic spline representation of the aerofoil contour, which led to improvements in the accuracy and stability of the solution, especially in the case of the jet-flapped aerofoils.<br>This method has been first validated for the cases of rigid and flexible aerofoi

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39

Chen, Xie. "Analysis of the arbitrary Mindlin plate by spline finite strip method." Thesis, University of Ottawa (Canada), 1993. http://hdl.handle.net/10393/6577.

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40

Akhtar, Nahid. "A multiscale harmonic spline interpolation method for the inverse spheroidal gravimetric problem." Aachen Shaker, 2009. http://d-nb.info/1000335380/04.

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41

Streit, Anja. "Finite Elemente Approximation der Plattengleichung mit web-Splines." [S.l. : s.n.], 2002. http://www.bsz-bw.de/cgi-bin/xvms.cgi?SWB10424234.

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42

Boßle, Marco. "R-Funktionen für Finite-Elemente-Approximationen mit web-Splines." [S.l. : s.n.], 2002. http://www.bsz-bw.de/cgi-bin/xvms.cgi?SWB10277660.

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43

Aggarwal, Shalini. "Comparison of Cylindrical Boundary Pasting Methods." Thesis, University of Waterloo, 2004. http://hdl.handle.net/10012/1177.

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Surface pasting is an interactive hierarchical modelling technique used to construct surfaces with varying levels of local detail. The concept is similar to that of the physical process of modelling with clay, where features are placed on to a base surface and attached by a smooth join obtained by adjusting the feature. Cylindrical surface pasting extends this modelling paradigm by allowing for two base surfaces to be joined smoothly via a blending cylinder, as in attaching a clay head to the body using a neck. Unfortunately, computer-based pasting involves approximations that can

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44

李華煜 and Wah-yuk Li. "Spline finite strip analysis of arbitrarily shaped plates and shells." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1988. http://hub.hku.hk/bib/B31231287.

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Li, Wah-yuk. "Spline finite strip analysis of arbitrarily shaped plates and shells /." [Hong Kong : University of Hong Kong], 1988. http://sunzi.lib.hku.hk/hkuto/record.jsp?B12350758.

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46

Szeto, Hon-yin. "Application of spline finite strip method in stability analyses of arbitrarily shaped plates /." [Hong Kong] : University of Hong Kong, 1992. http://sunzi.lib.hku.hk/hkuto/record.jsp?B13418191.

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47

司徒侃然 and Hon-yin Szeto. "Application of spline finite strip method in stability analyses of arbitrarily shaped plates." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1992. http://hub.hku.hk/bib/B31210971.

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48

Magoon, Jason. "Application of the B-spline collocation method to a geometrically non-linear beam problem /." Online version of thesis, 2010. http://hdl.handle.net/1850/11587.

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49

Zeng, Zheng. "Multigrid and cubic spline collocation methods for advection equations." 2005. http://link.library.utoronto.ca/eir/EIRdetail.cfm?Resources__ID=362354&T=F.

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50

Kaul, Jeetendra. "Spline-based methods for acquisition of signal and image models." Thesis, 1989. http://hdl.handle.net/1911/13368.

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In this thesis spline functions have been used to do data fitting for modeled signals. Optimum splines are obtained based on least squares error for the specific signal and image models. In the case of one-dimensional signal the model is obtained by using the Maximum Entropy Method (MEM). After obtaining the best estimates for the model parameters, the best type of spline is generated based on the source model chosen. For the two-dimensional case a linear least squares technique is used for the estimation of model parameters and then an optimal interpolating spline is used for image reconstruc

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