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: numerical solution of differential-algebraic systems by Runge-Kutta methods
  name:
    name part: Hairer, E. (Ernst)
    role:
      role term: creator
  name:
    name part: Lubich, Christian
    name part: 1959-
  name:
    name part: Roche, Michel
    name part: 1959-
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 1989
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (vii, 139 pages) : illustrations.
  abstract: The term differential-algebraic equation was coined to comprise differential equations with constraints (differential equations on manifolds) and singular implicit differential equations. Such problems arise in a variety of applications, e.g. constrained mechanical systems, fluid dynamics, chemical reaction kinetics, simulation of electrical networks, and control engineering. From a more theoretical viewpoint, the study of differential-algebraic problems gives insight into the behaviour of numerical methods for stiff ordinary differential equations. These lecture notes provide a self-contained and comprehensive treatment of the numerical solution of differential-algebraic systems using Runge-Kutta methods, and also extrapolation methods. Readers are expected to have a background in the numerical treatment of ordinary differential equations. The subject is treated in its various aspects ranging from the theory through the analysis to implementation and applications.
  note: Ernst Hairer, Christian Lubich, Michel Roche.
  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.
  subject:
    topic: Differential-algebraic equations
    topic: Numerical solutions
  subject:
    topic: Runge-Kutta formulas
  subject:
    topic: Gewone differentiaalvergelijkingen
  subject:
    topic: Numerieke methoden
  subject:
    topic: Runge-Kutta, Méthode de
  subject:
    topic: Équations différentielles algébriques
    topic: Solutions numériques
  subject:
    topic: Differential-algebraic equations
    topic: Numerical solutions
  subject:
    topic: Runge-Kutta formulas
  subject:
    topic: Gewone differentiaalvergelijkingen
  subject:
    topic: Numerieke methoden
  subject:
    topic: Differential-algebraisches Gleichungssystem
  subject:
    topic: Runge-Kutta-Verfahren
  subject:
    topic: Differential-algebraisches Gleichungssystem
  subject:
    topic: Runge-Kutta-Verfahren
  classification: QA3 .L28 no. 1409
  classification: QA372.5
  classification: 515.352
  classification: 31.76
  classification: SI 850
  related item:
    title info:
      title: Numerical solution of differential-algebraic systems by Runge-Kutta methods
    name:
      name part: Hairer, E. (Ernst).
    origin info:
      publisher: Berlin ; New York : Springer-Verlag, ©1989
    identifier: (DLC) 89021987
    identifier: (OCoLC)20596192
  related item:
    title info:
      title: Lecture notes in mathematics (Springer-Verlag) ; 1409
  identifier: 9783540468325 (electronic bk.)
  identifier: 3540468323 (electronic bk.)
  identifier: 9780387518602
  identifier: 0387518606
  identifier: 9783540518600
  identifier: 3540518606
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: SPLNM
    record creation date: 090117
    record change date: 20260420204555.7
    record identifier: in00003505498
    language of cataloging:
      language term: eng