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:
    non sort: The
    title: Painlevé property
    sub title: one century later
  name:
    name part: Conte, Robert
    name part: 1943-
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  genre: Cargese (1999)
  origin info:
    place:
      place term: nyu
    date issued: 1999
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: preservation
    reformatting quality: access
    form: remote
    extent: 1 online resource (xxvi, 810 pages) : illustrations.
  abstract: The subject this volume is explicit integration, that is, the analytical as opposed to the numerical solution, of all kinds of nonlinear differential equations (ordinary differential, partial differential, finite difference). Such equations describe many physical phenomena, their analytic solutions (particular solutions, first integral, and so forth) are in many cases preferable to numerical computation, which may be long, costly and, worst, subject to numerical errors. In addition, the analytic approach can provide a global knowledge of the solution, while the numerical approach is always local. Explicit integration is based on the powerful methods based on an in-depth study of singularities, that were first used by Poincar and subsequently developed by Painlev in his famous Leons de Stockholm of 1895. The recent interest in the subject and in the equations investigated by Painlev dates back about thirty years ago, arising from three, apparently disjoint, fields: the Ising model of statistical physics and field theory, propagation of solitons, and dynamical systems. The chapters in this volume, based on courses given at Cargse 1998, alternate mathematics and physics; they are intended to bring researchers entering the field to the level of present research.
  table of contents: Singularities of Ordinary Linear Differential Equations -- Introduction to the Theory of Isomonodronic Deformations -- Painlev Approach to Nonlinear Ordinary Differential Equations -- Asymptotic Studies of the Painlev Equations -- 2D Quantum and Topological Gravities -- Painlev Transcendents in Two Dimensional Topological Field -- Discrete Painlev Equations -- Painlev Analysis for Partial Differential Equations -- On Painlev and Darboux Halpen Type Equations -- Symmetry Reduction and Exact Solutions -- Painlev Equations in Terms of Entire Functions -- Backlund Transformations of Painlev Equations -- The Hamiltonians Associated to Painleve Equations -- Completeness of the Painlev Test.
  note: editor, Robert Conte.
  note: Electronic resource.
  note: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
  note: digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL
  note: Includes bibliographical references and index.
  subject:
    topic: Painlevé equations
  subject:
    topic: Mathematical physics
  subject:
    topic: Painlevé, Équations de
  subject:
    topic: Physique mathématique
  subject:
    topic: Mathematical physics
  subject:
    topic: Painlevé equations
  subject:
    topic: Physique mathématique
  subject:
    topic: Analytische Lösung
  subject:
    topic: Kongress
  subject:
    topic: Nichtlineare Differentialgleichung
  subject:
    topic: Painlevé-Test
  classification: QC20.7.D5 P34 1999
  classification: 530.1/535
  classification: SK 500
  related item:
    title info:
      title: Painlevé property
    origin info:
      publisher: New York : Springer, 1999
    identifier: (DLC) 99016039
    identifier: (OCoLC)41452563
  related item:
    title info:
      title: CRM series in mathematical physics
  identifier: 9781461215325 (electronic bk.)
  identifier: 1461215323 (electronic bk.)
  identifier: 0387988882 (alk. paper)
  identifier: 9780387988887 (alk. paper)
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OCLCE
    record creation date: 101117
    record change date: 20260422172748.3
    record identifier: in00003512012
    language of cataloging:
      language term: eng