IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-1-4614-0195-7_41.html
   My bibliography  Save this book chapter

The Schwarz-Christoffel Transformation

In: An Introduction to Complex Analysis

Author

Listed:
  • Ravi P. Agarwal

    (Florida Institute of Technology, Department of Mathematics)

  • Kanishka Perera

    (Florida Institute of Technology, Department of Mathematical Sciences)

  • Sandra Pinelas

    (Azores University, Department of Mathematics)

Abstract

In this lecture, we shall provide an explicit formula for the derivative of a conformal mapping that maps the upper half-plane onto a given bounded or unbounded polygonal region (boundary contains a finite number of line segments). The integration of this formula (often a formidable task unless done numerically) and then its inversion (another nontrivial task) yields a conformal mapping that maps a polygonal region onto the upper halfplane. Such mappings are often applied in physical problems such as in heat conduction, fluid mechanics, and electrostatics.

Suggested Citation

  • Ravi P. Agarwal & Kanishka Perera & Sandra Pinelas, 2011. "The Schwarz-Christoffel Transformation," Springer Books, in: An Introduction to Complex Analysis, edition 1, chapter 0, pages 275-280, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-0195-7_41
    DOI: 10.1007/978-1-4614-0195-7_41
    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:978-1-4614-0195-7_41. 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.