IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v33y1991i3p209-221.html
   My bibliography  Save this article

Energy control of the numerical solutions of an elastic oscillator

Author

Listed:
  • Liu, I-Shih
  • Suliciu, I.

Abstract

This paper points out how the energy may be used to select appropriate numerical schemes. For the purpose of illustration an elastic oscillator is considered. This oscillator is modeled by a system of differential equations (zero-dimensional oscillator) and by a system of partial differential equations (one-dimensional oscillator). For the case of free oscillator the energy is preserved in time by the exact solutions. It is shown here that the numerical schemes which preserve this property better give more accurate numerical solutions at a given time and for a given time step. The one-dimensional scheme applies equally well when shock waves are involved. The relation between the solutions obtained with the two models is also discussed.

Suggested Citation

  • Liu, I-Shih & Suliciu, I., 1991. "Energy control of the numerical solutions of an elastic oscillator," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 33(3), pages 209-221.
    • Handle: RePEc:eee:matcom:v:33:y:1991:i:3:p:209-221
    DOI: 10.1016/0378-4754(91)90120-R
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/037847549190120R
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/0378-4754(91)90120-R?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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:eee:matcom:v:33:y:1991:i:3:p:209-221. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.