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 Treatment of Partial Differential Equations
    sub title: Translated and revised by Martin Stynes
  name:
    name part: Grossmann, Christian.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Roos, Hans-Gorg.
    role:
      role term: author.
  name:
    name part: Stynes, Martin.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2007
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XII, 596 p. 86 illus. online resource.
  abstract: Many well-known models in the natural sciences and engineering, and today even in economics, depend on partial di?erential equations. Thus the e?cient numerical solution of such equations plays an ever-increasing role in state-- the-art technology. This demand and the computational power available from current computer hardware have together stimulated the rapid development of numerical methods for partial di?erential equations—a development that encompasses convergence analyses and implementational aspects of software packages. In 1988 we started work on the ?rst German edition of our book, which appeared in 1992. Our aim was to give students a textbook that contained the basic concepts and ideas behind most numerical methods for partial di?er- tial equations. The success of this ?rst edition and the second edition in 1994 encouraged us, ten years later, to write an almost completely new version, taking into account comments from colleagues and students and drawing on the enormous progress made in the numerical analysis of partial di?erential equations in recent times. The present English version slightly improves the third German edition of 2005: we have corrected some minor errors and added additional material and references.
  table of contents: Partial Differential Equations: Basics and Explicit Representation of Solutions -- Finite Difference Methods -- Weak Solutions, Elliptic Problems and Sobolev Spaces -- The Finite Element Method -- Finite Element Methods for Unsteady Problems -- Singular Perturbations -- Numerical Methods for Variational Inequalities and Optimal Control -- Numerical Methods for Discretized Problems.
  note: by Christian Grossmann, Hans-Gorg Roos, Martin Stynes.
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analysis (Mathematics)
  subject:
    topic: Partial differential equations
  subject:
    topic: Numerical analysis
  subject:
    topic: Mathematics
  subject:
    topic: Analysis
  subject:
    topic: Numerical Analysis
  subject:
    topic: Partial Differential Equations
  classification: QA299.6-433
  classification: 515
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Universitext
  identifier: 9783540715849
  identifier: http://dx.doi.org/10.1007/978-3-540-71584-9
  record info:
    record creation date: 100301
    record change date: 20151204170100.0
    record identifier: 978-3-540-71584-9