IDEAS home Printed from https://ideas.repec.org/a/hin/jijmms/984801.html
   My bibliography  Save this article

Optimally stable fifth-order integration methods: a numerical approach

Author

Listed:
  • D. J. Rodabaugh
  • S. Thompson

Abstract

In this paper, the results of the first detailed and systematic study of the family of fifth order implicit linear multistep methods requiring function evaluations at four backpoints are given. Also described is a practical and efficient nonlinear optimization procedure which made it possible to locate in a precise manner the methods of this type which possess optimal ranges of relative stability in the sense-that the corresponding relative stability regions contain maximal disks centered at the origin.

Suggested Citation

  • D. J. Rodabaugh & S. Thompson, 1978. "Optimally stable fifth-order integration methods: a numerical approach," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 1, pages 1-16, January.
    • Handle: RePEc:hin:jijmms:984801
    DOI: 10.1155/S0161171278000344
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/IJMMS/1/984801.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/IJMMS/1/984801.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/S0161171278000344?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:jijmms:984801. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.