IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v16y1974i2p20-25.html
   My bibliography  Save this article

Computer algorithm for hyperbolic equations

Author

Listed:
  • Vichnevetsky, R.
  • Tomalesky, A.W.

Abstract

Quasi-linear hyperbolic partial-differential equations of the second order are easily transformed into their characteristic form, and hybrid computer algorithms based on the Continuous Space Discrete Time method of lines, taking advantage of such transformations are conveniently implemented. This is illustrated in this paper, together with considerations of the minimization of spurious diffusion effects which are associated with difference approximations of such equations. The example taken is that of the transient simulation of electrical transmission lines, but the concepts presented apply equally well to other problems in this class (e.g. one dimensional hydraulic simulations).

Suggested Citation

  • Vichnevetsky, R. & Tomalesky, A.W., 1974. "Computer algorithm for hyperbolic equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 16(2), pages 20-25.
    • Handle: RePEc:eee:matcom:v:16:y:1974:i:2:p:20-25
    DOI: 10.1016/S0378-4754(74)80011-X
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037847547480011X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/S0378-4754(74)80011-X?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.

    References listed on IDEAS

    as
    1. Vichnevetsky, Robert, 1974. "Physical criteria in computer methods for partial differential equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 16(1), pages 3-16.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Vichnevetsky, R., 1980. "Propagation properties of semi-discretizations of hyperbolic equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 22(2), pages 98-102.
    2. Bosgra, Okko H. & Buis, J. Paul, 1974. "Fundamental approach to the selection of implementation parameters in the hybrid serial solution of partial differential equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 16(4), pages 24-34.

    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:16:y:1974:i:2:p:20-25. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.