rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Fast algorithms and their applications to numerical quasiconformal mappings of doubly connected domains onto annuli
  name:
    name part: Mashat, Daoud Sulaiman.
    role:
      role term: creator
  type of resource: text
  genre: bibliography
  origin info:
    place:
      place term: xx
    date issued: 1997
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: print
    extent: xi, 119 leaves : illustrations ; 28 cm.
  abstract: A numerical method for quasiconformal mapping of doubly
  abstract: connected domains onto annuli is presented. The annulus
  abstract: itself is not known a priori and is determined as part of the
  abstract: solution procedure. The numerical method requires solving a
  abstract: sequence of inhomogeneous Beltrami equations, each within a
  abstract: different annulus, in an iterative mode. The annulus within
  abstract: which the equation is being solved is also updated during the
  abstract: iterations using an updating procedure based on the bisection
  abstract: method. This quasiconformal mapping method is based on
  abstract: Daripa's method of quasiconformal mapping of simply connected
  abstract: domains onto unit disks. The performance of the
  abstract: quasiconformal mapping algorithm has been demonstrated on
  abstract: several doubly connected domains with two different complex
  abstract: dilations. The solution of the Beltrami equation in an
  abstract: annulus requires evaluating two singular integral operators.
  abstract: Fast algorithms for their accurate evaluation are presented.
  abstract: These are based on extension of a fast algorithm of Daripa.
  abstract: These algorithms are based on some recursive relations in
  abstract: Fourier space and the FFT (fast Fourier transform), and have
  abstract: theoretical computational complexity of order log N per
  abstract: point.
  note: by Daoud Sulaiman Mashat.
  note: Vita.
  note: "Major Subject: Mathematics".
  note: Issued also on microfiche from University Microfilms Inc.
  note: Includes bibliographical references: pages 110-112.
  note: Ph. D. Texas A&M University 1997.
  subject:
    topic: Major mathematics
  identifier: 98-15798 UMI
  identifier: http://proxy.library.tamu.edu/login
  related item:
    location:
      url: http://proxy.library.tamu.edu/login
  record info:
    record content source: TXA
    record creation date: 980708
    record change date: 20190325093517.0
    record identifier: in00001422348