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: Robust Numerical Methods for Singularly Perturbed Differential Equations
    sub title: Convection-Diffusion-Reaction and Flow Problems
  name:
    name part: Roos, Hans-Görg.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Stynes, Martin.
    role:
      role term: author.
  name:
    name part: Tobiska, Lutz.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2008
    edition: 2.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIV, 604 p. 41 illus. online resource.
  abstract: This considerably extended and completely revised second edition incorporates many new developments in the thriving field of numerical methods for singularly perturbed differential equations. It provides a thorough foundation for the numerical analysis and solution of these problems, which model many physical phenomena whose solutions exhibit layers. The book focuses on linear convection-diffusion equations and on nonlinear flow problems that appear in computational fluid dynamics. It offers a comprehensive overview of suitable numerical methods while emphasizing those with realistic error estimates. The book should be useful for scientists requiring effective numerical methods for singularly perturbed differential equations.
  table of contents: Ordinary Differential Equations -- The Analytical Behaviour of Solutions -- Numerical Methods for Second-Order Boundary Value Problems -- Parabolic Initial-Boundary Value Problems in One Space Dimension -- Analytical Behaviour of Solutions -- Finite Difference Methods -- Finite Element Methods -- Two Adaptive Methods -- Elliptic and Parabolic Problems in Several Space Dimensions -- Analytical Behaviour of Solutions -- Finite Difference Methods -- Finite Element Methods -- Time-Dependent Problems -- The Incompressible Navier-Stokes Equations -- Existence and Uniqueness Results -- Upwind Finite Element Method -- Higher-Order Methods of Streamline Diffusion Type -- Local Projection Stabilization for Equal-Order Interpolation -- Local Projection Method for Inf-Sup Stable Elements -- Mass Conservation for Coupled Flow-Transport Problems -- Adaptive Error Control.
  note: by Hans-Görg Roos, Martin Stynes, Lutz Tobiska.
  subject:
    topic: Mathematics
  subject:
    topic: Chemistry, Physical and theoretical
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analysis (Mathematics)
  subject:
    topic: Numerical analysis
  subject:
    topic: Biomathematics
  subject:
    topic: Statistics
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Mathematics
  subject:
    topic: Numerical Analysis
  subject:
    topic: Appl.Mathematics/Computational Methods of Engineering
  subject:
    topic: Analysis
  subject:
    topic: Mathematical and Computational Biology
  subject:
    topic: Statistics for Life Sciences, Medicine, Health Sciences
  subject:
    topic: Theoretical and Computational Chemistry
  classification: QA297-299.4
  classification: 518
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Springer Series in Computational Mathematics, 24
  identifier: 9783540344674
  identifier: http://dx.doi.org/10.1007/978-3-540-34467-4
  record info:
    record creation date: 100301
    record change date: 20151204163302.0
    record identifier: 978-3-540-34467-4