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: Boundary Element Methods with Applications to Nonlinear Problems
  name:
    name part: Chen, Goong.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Chen, Goong.
    role:
      role term: author.
  name:
    name part: Zhou, Jianxin.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: fr
    date issued: 2010
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XXVI, 715p. online resource.
  abstract: Boundary Element Methods have become a major numerical tool in scientific and engineering problem-solving, with particular applications to numerical computations and simulations of partial differential equations in engineering. Boundary Element Methods provides a rigorous and systematic account of the modern mathematical theory of Boundary Element Methods, including the requisite background on general partial, differential equation methods, Sobolev spaces, pseudo-differential and Fredholm operators and finite elements. It aims at the computation of many types of elliptic boundary value problems in potential theory, elasticity, wave propagation, and structural mechanics. Also presented are various methods and algorithms for nonlinear partial differential equations. This second edition has been fully revised and combines the mathematical rigour necessary for a full understanding of the subject, with extensive examples of applications illustrated with computer graphics. This book is intended as a textbook and reference for applied mathematicians, physical scientists and engineers at graduate and research level. It will be an invaluable sourcebook for all concerned with numerical modeling and the solution of partial differential equations.
  table of contents: Some Basic Properties of Sobolev Spaces -- Theory of Distributions -- Pseudodifferential Operators and Their Fredholm Properties -- Finite-Element Methods: Spaces and Properties -- The Potential Equation -- The Helmholtz Equation -- The Thin Plate Equation -- Linear Elastostatics -- Some Error Estimates for Numerical Solutions of Boundary Integral Equations -- Boundary Element Methods for Semilinear Elliptic Partial Differential Equations (I): The Monotone Iteration Scheme and Error Estimates -- Boundary Element Methods for Semilinear Elliptic Partial Differential Equations (II): Algorithms and Computations for Unstable Solutions from Various Models.
  note: by Goong Chen, Goong Chen, Jianxin Zhou.
  subject:
    topic: Mathematics
  subject:
    topic: Operator theory
  subject:
    topic: Numerical analysis
  subject:
    topic: Mathematics
  subject:
    topic: Operator Theory
  subject:
    topic: Numerical Analysis
  classification: QA329-329.9
  classification: 515.724
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Atlantis Studies in Mathematics for Engineering and Science, 7
  identifier: 9789491216275
  identifier: http://dx.doi.org/10.2991/978-94-91216-27-5
  record info:
    record creation date: 120301
    record change date: 20131218083648.0
    record identifier: 978-94-91216-27-5