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  • Simplification of large linear systems using two-step iterative method

    Creator:
    Shoji, Fumihiro Frank
    Abstract:
    The order of the practical system (e.g. nuclear power plants, electrical power network and chemical plant) is quite large. However, there are many limitations in computing facilities for the large system. Because of these limitations, it is often necessary to reduce the order of the large system using an approximation....
    Resource Type:
    Masters Thesis
    Full Text:
    approximation. Here the simple iterative technique which is free of certain shortcomings of the previous

  • Spectral approximation theory for bounded linear operators

    Creator:
    Lo, Wen-so
    Abstract:
    In this thesis we examine the approximation theory of the eigenvalue problem of bounded linear operators defined on a Banach space, and its applications to integral and differential equations. Special cases include the degenerate kernel method, projection method, collocation method, the Galerkin method, the method of moments, and the generalized...
    Resource Type:
    Dissertation

  • Characterization of the best approximations by classic cubic splines

    Creator:
    Tuen, Tuen
    Abstract:
    This study deals specifically with classical cubic splines. Based on a lemma of John Rice, best approximation in the uniform norm by cubic splines is explored. The purpose of this study is to characterize the best approximation to a given continuous function f(x) by a cubic spline with fixed knots...
    Resource Type:
    Masters Thesis
    Full Text:
    inducled in many approximation theory books. Example Here is an example using a spline with 3 fixed

  • Smooth approximations and quermassintegrals

    Creator:
    Ojha, Murari Prasad
    Abstract:
    See pdf.
    Resource Type:
    Dissertation

  • Mahler's order functions and algebraic approximation of p-adic numbers

    Creator:
    Dietel, Brian Christopher
    Abstract:
    If P is an integer polynomial denote the degree of P by ∂(P) and let H(P) be the maximum of the absolute value of the coefficients of P. Define Λ(P)=2[superscript ∂(P)]H(P) and for a fixed prime p let C[subscript p] denote the completion of the algebraic closure of the p-adic...
    Resource Type:
    Dissertation
    Full Text:
    Order Functions and Algebraic Approximation of p-adic Numbers Abstract approved: Mary E. Flahive If P

  • Laplace approximations to likelihood functions for generalized linear mixed models

    Creator:
    Liu, Qing, 1961-
    Abstract:
    This thesis considers likelihood inferences for generalized linear models with additional random effects. The likelihood function involved ordinarily cannot be evaluated in closed form and numerical integration is needed. The theme of the thesis is a closed-form approximation based on Laplace's method. We first consider a special yet important case...
    Resource Type:
    Dissertation
    Full Text:
    is a closed-form approximation based on Laplace's method. We first consider a special yet

  • Kenward-Roger approximate F test for fixed effects in mixed linear models

    Creator:
    Alnosaier, Waseem S.
    Abstract:
    For data following a balanced mixed Anova model, the standard Anova method typically leads to exact F tests of the usual hypotheses about fixed effects. However, for most unbalanced designs with most hypotheses, the Anova method does not produce exact tests, and approximate methods are needed. One approach to approximate...
    Resource Type:
    Dissertation
    Full Text:
    -ROGER APPROXIMATION FOR THREE GENERAL MODELS ….67 6.1 Modified Rady’s Model

  • Approximation Schemes in Planar Graphs

    Creator:
    Zheng, Baigong
    Abstract:
    There are growing interests in designing polynomial-time approximation schemes (PTAS) for optimization problems in planar graphs. Many NP-hard problems are shown to admit PTAS in planar graphs in the last decade, including Steiner tree, Steiner forest, two- edge-connected subgraphs and so on. We follow this research line and study several...
    Resource Type:
    Dissertation
    Full Text:
    : Approximation Schemes in Planar Graphs Abstract approved: Glencora Borradaile There are growing interests in