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: Numerical Methods and Analysis of Multiscale Problems
  name:
    name part: Madureira, Alexandre L.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2017
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 123 p. 31 illus., 9 illus. in color. online resource.
  abstract: This book is about numerical modeling of multiscale problems, and introduces several asymptotic analysis and numerical techniques which are necessary for a proper approximation of equations that depend on different physical scales. Aimed at advanced undergraduate and graduate students in mathematics, engineering and physics – or researchers seeking a no-nonsense approach –, it discusses examples in their simplest possible settings, removing mathematical hurdles that might hinder a clear understanding of the methods. The problems considered are given by singular perturbed reaction advection diffusion equations in one and two-dimensional domains, partial differential equations in domains with rough boundaries, and equations with oscillatory coefficients. This work shows how asymptotic analysis can be used to develop and analyze models and numerical methods that are robust and work well for a wide range of parameters.
  table of contents: Introductory Material and Finite Element Methods -- A One-dimensional Singular Perturbed Problem -- An Application in Neuroscience: Heterogeneous Cable Equation -- Two-Dimensional Reaction-Diffusion Equations -- Modeling PDEs in Domains with Rough Boundaries -- Partial Differential Equations with Oscillatory Coefficients.
  note: by Alexandre L. Madureira.
  subject:
    topic: Mathematics
  subject:
    topic: Partial differential equations
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Numerical analysis
  subject:
    topic: Mathematics
  subject:
    topic: Numerical Analysis
  subject:
    topic: Partial Differential Equations
  subject:
    topic: Applications of Mathematics
  classification: QA297-299.4
  classification: 518
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: SpringerBriefs in Mathematics
  identifier: 9783319508665
  identifier: http://dx.doi.org/10.1007/978-3-319-50866-5
  record info:
    record creation date: 170215
    record change date: 20171007141041.0
    record identifier: 978-3-319-50866-5