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: Perturbation methods using backward error
  name:
    name part: Corless, Robert M.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Fillion, Nicolas
    name part: 1981-
    role:
      role term: author.
  type of resource: text
  genre: bibliography
  origin info:
    place:
      place term: pau
    date issued: 2026
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: print
    extent: xviii, 424 pages : illustrations (some color) ; 26 cm.
  abstract: "Perturbation methods are old but powerful, and they remain in widespread use. Rather than producing numbers or pictures, they yield formulas whose value depends on the skill of the person (or machine!) interpreting them. This unique book presents several classical methods for solving perturbation problems. To ensure a uniform presentation and more reliable, interpretable results, it consistently uses backward error analysis. This provides a systematic way to assess the validity of approximate solutions while encouraging the modeler to examine how small changes in the data or model affect the result. To support this, the book uses the concept of a condition number, familiar from numerical analysis"--
  note: Robert M. Corless, Nicolas Fillion.
  note: Includes bibliographical references and indexes.
  subject:
    topic: Perturbation (Mathematics)
  subject:
    topic: Error analysis (Mathematics)
  classification: QA871 .C67 2026
  classification: 515.392
  related item:
    title info:
      title: Mathematical modeling and computation
  identifier: 1611978858
  identifier: 9781611978858
  record info:
    record content source: YDX
    record creation date: 260620
    record change date: 20260730161706.6
    record identifier: in00005792113
    language of cataloging:
      language term: eng