IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v24y1982i1p49-53.html
   My bibliography  Save this article

Fast solution of implicit methods for linear hyperbolic equations

Author

Listed:
  • Evans, D.J.
  • Benson, A.

Abstract

A factorisation method is described for the fast numerical solution of constant tridiagonal Toeplitz linear systems which occur repeatedly in the solution of the implicit finite difference equations derived from linear first order hyperbolic equations, i.e. the Transport equation, under a variety of boundary conditions. In this paper, we show that such special linear systems can be solved efficiently by the factorisation of the coefficient matrix into two easily inverted matrices.

Suggested Citation

  • Evans, D.J. & Benson, A., 1982. "Fast solution of implicit methods for linear hyperbolic equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 24(1), pages 49-53.
  • Handle: RePEc:eee:matcom:v:24:y:1982:i:1:p:49-53
    DOI: 10.1016/0378-4754(82)90049-0
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378475482900490
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/0378-4754(82)90049-0?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. Evans, D.J., 1979. "Direct methods of solution of partial differential equations with periodic boundary conditions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 21(3), pages 270-275.
    2. Benson, A. & Evans, D.J., 1979. "Iterative methods of solution for the elliptic fourth boundary value problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 21(3), pages 282-288.
    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. Evans, D.J., 1979. "Direct methods of solution of partial differential equations with periodic boundary conditions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 21(3), pages 270-275.

    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:24:y:1982:i:1:p:49-53. 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.