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: Global Smoothness and Shape Preserving Interpolation by Classical Operators
  name:
    name part: Gal, Sorin G.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2005
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIII, 146 p. 20 illus. online resource.
  abstract: This monograph examines and develops the Global Smoothness Preservation Property (GSPP) and the Shape Preservation Property (SPP) in the field of interpolation of functions. The study is developed for the univariate and bivariate cases using well-known classical interpolation operators of Lagrange, Grünwald, Hermite-Fejér and Shepard type. One of the first books on the subject, it presents interesting new results alongwith an excellent survey of past research. Key features include: - potential applications to data fitting, fluid dynamics, curves and surfaces, engineering, and computer-aided geometric design - presents recent work featuring many new interesting results as well as an excellent survey of past research - many interesting open problems for future research presented throughout the text - includes 20 very suggestive figures of nine types of Shepard surfaces concerning their shape preservation property - generic techniques of the proofs allow for easy application to obtaining similar results for other interpolation operators This unique, well-written text is best suited to graduate students and researchers in mathematical analysis, interpolation of functions, pure and applied mathematicians in numerical analysis, approximation theory, data fitting, computer-aided geometric design, fluid mechanics, and engineering researchers.
  table of contents: Global Smoothness Preservation, Univariate Case -- Partial Shape Preservation, Univariate Case -- Global Smoothness Preservation, Bivariate Case -- Partial Shape Preservation, Bivariate Case.
  note: by Sorin G. Gal.
  subject:
    topic: Mathematics
  subject:
    topic: Approximation theory
  subject:
    topic: Functions of complex variables
  subject:
    topic: Operator theory
  subject:
    topic: Functions of real variables
  subject:
    topic: Numerical analysis
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Mathematics
  subject:
    topic: Numerical Analysis
  subject:
    topic: Operator Theory
  subject:
    topic: Functions of a Complex Variable
  subject:
    topic: Approximations and Expansions
  subject:
    topic: Real Functions
  subject:
    topic: Appl.Mathematics/Computational Methods of Engineering
  classification: QA297-299.4
  classification: 518
  related item:
    title info:
      title: Springer eBooks
  identifier: 9780817644017
  identifier: http://dx.doi.org/10.1007/b137115
  record info:
    record creation date: 100301
    record change date: 20151204164359.0
    record identifier: 978-0-8176-4401-7