IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/456814.html
   My bibliography  Save this article

Some Stability and Convergence of Additive Runge-Kutta Methods for Delay Differential Equations with Many Delays

Author

Listed:
  • Haiyan Yuan
  • Jingjun Zhao
  • Yang Xu

Abstract

This paper is devoted to the stability and convergence analysis of the additive Runge-Kutta methods with the Lagrangian interpolation (ARKLMs) for the numerical solution of a delay differential equation with many delays. GDN stability and D-Convergence are introduced and proved. It is shown that strongly algebraically stability gives D-Convergence DA, DAS, and ASI stability give GDN stability. Some examples are given in the end of this paper which confirms our results.

Suggested Citation

  • Haiyan Yuan & Jingjun Zhao & Yang Xu, 2012. "Some Stability and Convergence of Additive Runge-Kutta Methods for Delay Differential Equations with Many Delays," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-18, April.
    • Handle: RePEc:hin:jnljam:456814
    DOI: 10.1155/2012/456814
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JAM/2012/456814.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JAM/2012/456814.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2012/456814?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:jnljam:456814. 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.