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: Elliptic Differential Equations
    sub title: Theory and Numerical Treatment
  name:
    name part: Hackbusch, Wolfgang.
    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
    edition: 2nd ed. 2017.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIV, 455 p. 55 illus., 15 illus. in color. online resource.
  abstract: This book simultaneously presents the theory and the numerical treatment of elliptic boundary value problems, since an understanding of the theory is necessary for the numerical analysis of the discretisation. It first discusses the Laplace equation and its finite difference discretisation before addressing the general linear differential equation of second order. The variational formulation together with the necessary background from functional analysis provides the basis for the Galerkin and finite-element methods, which are explored in detail. A more advanced chapter leads the reader to the theory of regularity. Individual chapters are devoted to singularly perturbed as well as to elliptic eigenvalue problems. The book also presents the Stokes problem and its discretisation as an example of a saddle-point problem taking into account its relevance to applications in fluid dynamics.
  table of contents: 1 Partial Differential Equations and Their Classification Into Types -- 2 The Potential Equation -- 3 The Poisson Equation -- 4 Difference Methods for the Poisson Equation -- 5 General Boundary Value Problems -- 6 Tools from Functional Analysis -- 7 Variational Formulation -- 8 The Method of Finite Elements -- 9 Regularity -- 10 Special Differential Equations -- 11 Eigenvalue Problems -- 12 Stokes Equations.
  note: by Wolfgang Hackbusch.
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analysis (Mathematics)
  subject:
    topic: System theory
  subject:
    topic: Numerical analysis
  subject:
    topic: Calculus of variations
  subject:
    topic: Physics
  subject:
    topic: Mathematics
  subject:
    topic: Analysis
  subject:
    topic: Numerical Analysis
  subject:
    topic: Systems Theory, Control
  subject:
    topic: Calculus of Variations and Optimal Control; Optimization
  subject:
    topic: Theoretical, Mathematical and Computational Physics
  classification: QA299.6-433
  classification: 515
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Springer Series in Computational Mathematics, 18
  identifier: 9783662549612
  identifier: http://dx.doi.org/10.1007/978-3-662-54961-2
  record info:
    record creation date: 170602
    record change date: 20170602130613.0
    record identifier: 978-3-662-54961-2