IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v42y1996i4p617-628.html
   My bibliography  Save this article

Symbolic semi-discretization of partial differential equation systems

Author

Listed:
  • Pfeiffer, B.-M
  • Marquardt, W

Abstract

A symbolical computation approach to the preprocessing of distributed parameter systems for preparing a numerical solution by a method of lines technique is investigated. A first prototype of a toolbox for the semi-discretization of partial differential equation systems on simple spatial domains has been implemented in MACSYMA. The equations are classified first in order to support the selection of a particular type of finite difference or spectral methods provided. The resulting differential-algebraic system is either represented symbolically in linear implicit form or in a recursive notation to be passed to an automatic code generation module. Additionally, the semi-discrete system can be analyzed numerically to check its stability properties prior to numerical integration. This way, unsuitable discretizations can be detected and discarded without any simulation experiment. The tool mainly addresses the needs which arise in the analysis of the dynamics of chemical engineering processes.

Suggested Citation

  • Pfeiffer, B.-M & Marquardt, W, 1996. "Symbolic semi-discretization of partial differential equation systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 42(4), pages 617-628.
    • Handle: RePEc:eee:matcom:v:42:y:1996:i:4:p:617-628
    DOI: 10.1016/S0378-4754(96)00038-9
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475496000389
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/S0378-4754(96)00038-9?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. Moore, Peter K. & Ozturan, Can & Flaherty, Joseph E., 1989. "Towards the automatic numerical solution of partial differential equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 31(4), pages 325-332.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Köhler, R & Gerstlauer, A & Zeitz, M, 2001. "Symbolic preprocessing for simulation of PDE models of chemical processes," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 56(2), pages 157-170.

    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. van der Wijngaart, Rob F., 1994. "Concepts of TRIFIT, a flexible software environment for problems in two space dimensions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 37(6), pages 505-525.

    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:42:y:1996:i:4:p:617-628. 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.