IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-642-60218-4_37.html

On the Simplification of Nonlinear DAE Systems in Analog Circuit Design

In: Computer Algebra in Scientific Computing CASC’99

Author

Listed:
  • Tim Wichmann

    (Institut für Techno- und Wirtschaftsmathematik e.V.)

  • Ralf Popp

    (University of Hanover, Institute of Microelectronic Systems)

  • Walter Hartong

    (University of Hanover, Institute of Microelectronic Systems)

  • Lars Hedrich

    (University of Hanover, Institute of Microelectronic Systems)

Abstract

The behavior of nonlinear analog circuits is described by a set of differential algebraic equations (DAE). In this paper we present a symbolic simplification algorithm for such DAE systems which generates an approximative system. Besides the mathematical background we explain several local and global simplification techniques that axe applied to the system. Each modification step is controlled by an error calculation. To achieve a maximum number of simplifications and to avoid unnecessary modifications an optimized order, the so called ranking, is needed. We will present two different ranking methods and will show the results on an example.

Suggested Citation

  • Tim Wichmann & Ralf Popp & Walter Hartong & Lars Hedrich, 1999. "On the Simplification of Nonlinear DAE Systems in Analog Circuit Design," Springer Books, in: Victor G. Ganzha & Ernst W. Mayr & Evgenii V. Vorozhtsov (ed.), Computer Algebra in Scientific Computing CASC’99, pages 485-498, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-60218-4_37
    DOI: 10.1007/978-3-642-60218-4_37
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    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:spr:sprchp:978-3-642-60218-4_37. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.