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: Retarded Potentials and Time Domain Boundary Integral Equations
    sub title: A Road Map
  name:
    name part: Sayas, Francisco-Javier.
    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: 2016
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XV, 242 p. 8 illus., 2 illus. in color. online resource.
  abstract: This book offers a thorough and self-contained exposition of the mathematics of time-domain boundary integral equations associated to the wave equation, including applications to scattering of acoustic and elastic waves. The book offers two different approaches for the analysis of these integral equations, including a systematic treatment of their numerical discretization using Galerkin (Boundary Element) methods in the space variables and Convolution Quadrature in the time variable. The first approach follows classical work started in the late eighties, based on Laplace transforms estimates. This approach has been refined and made more accessible by tailoring the necessary mathematical tools, avoiding an excess of generality. A second approach contains a novel point of view that the author and some of his collaborators have been developing in recent years, using the semigroup theory of evolution equations to obtain improved results. The extension to electromagnetic waves is explained in one of the appendices.
  table of contents: The retarted layer potentials -- From time domain to Laplace domain -- From Laplace domain to time domain -- Convulution Quadrature -- The Discrete layer potentials -- A General Class of Second Order Differential Equations.- Time domain analysis of the single layer potential.- Time domain analysis of the double layer potential.- Full discretization revisited -- Patterns, Extensions, and Conclusions -- Appendices.
  note: by Francisco-Javier Sayas.
  subject:
    topic: Mathematics
  subject:
    topic: Integral equations
  subject:
    topic: Partial differential equations
  subject:
    topic: Computer mathematics
  subject:
    topic: Mathematics
  subject:
    topic: Integral Equations
  subject:
    topic: Partial Differential Equations
  subject:
    topic: Computational Mathematics and Numerical Analysis
  classification: QA431
  classification: 515.45
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Springer Series in Computational Mathematics, 50
  identifier: 9783319266459
  identifier: http://dx.doi.org/10.1007/978-3-319-26645-9
  record info:
    record creation date: 160412
    record change date: 20160412102002.0
    record identifier: 978-3-319-26645-9