IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-319-75011-8_3.html
   My bibliography  Save this book chapter

Fast RBF

In: Fast Radial Basis Functions for Engineering Applications

Author

Listed:
  • Marco Evangelos Biancolini

    (University of Rome “Tor Vergata”, Department of Enterprise Engineering “Mario Lucertini”)

Abstract

Fast RBF foundation concepts are described in this chapter. Details are provided for an effective usage of the direct method using advanced linear algebra strategies and libraries. Methods for data compression which allow to represent the same information with a smaller and less expensive cloud are introduced. Space localization methods are successively considered firstly with compact supported RBF, whose interaction distance is limited in the RBF function itself, and then with partition of unity (POU) that consists of the superposition and blending of smaller clouds. Approximated evaluation of the far field of full supported RBF is described and an overview of the fast multipole method (FMM) is given. Information about iterative solvers and parallel computing are finally provided to complete the chapter.

Suggested Citation

  • Marco Evangelos Biancolini, 2017. "Fast RBF," Springer Books, in: Fast Radial Basis Functions for Engineering Applications, chapter 0, pages 35-62, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-75011-8_3
    DOI: 10.1007/978-3-319-75011-8_3
    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

    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:978-3-319-75011-8_3. 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.