IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v247y2026icp93-109.html

High order space–time scheme for scalar hyperbolic conservation laws with reduced numerical domain of dependence

Author

Listed:
  • Baeza, Antonio
  • Mulet, Pep
  • Yáñez, Dionisio F.
  • Zorío, David

Abstract

In this paper, a novel space–time combined discretization for scalar hyperbolic conservation laws is presented. The resulting scheme is based on obtaining a direct relationship between high order time derivatives and high order space derivatives, in which no mixed derivatives are involved. As a result, schemes of arbitrarily high order in both space and time can be derived, while in turn having a numerical domain of dependence growing linearly with respect to the order, as opposed to classical high order in space and time discretizations, which usually have a numerical domain of dependence that grows quadratically with respect to the order. Finally, in order to tackle discontinuities, WENO reconstructions with efficient weight design and unconditionally optimal accuracy near critical points are used.

Suggested Citation

  • Baeza, Antonio & Mulet, Pep & Yáñez, Dionisio F. & Zorío, David, 2026. "High order space–time scheme for scalar hyperbolic conservation laws with reduced numerical domain of dependence," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 247(C), pages 93-109.
    • Handle: RePEc:eee:matcom:v:247:y:2026:i:c:p:93-109
    DOI: 10.1016/j.matcom.2026.03.010
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475426000911
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2026.03.010?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

    for a different version of it.

    More about this item

    Keywords

    ;
    ;
    ;

    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:247:y:2026:i:c:p:93-109. 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.