IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-1-4612-2418-1_4.html
   My bibliography  Save this book chapter

Approximation Methods in Transcendental Function Computations and Some Physical Applications

In: Number Theory: New York Seminar 1991–1995

Author

Listed:
  • D. V. Chudnovsky

    (Columbia University)

  • G. V. Chudnovsky

    (Columbia University)

Abstract

High precision solution of extremal and complex analytic approximations problems that can be represented in terms of multiple integrals or integral equations involving hypergeometric functions are examined. Fast algorithms of computations of (approximate) solutions are presented that are well suited for parallelization. Among problems considered are: WKB and adelic asymptotics of multidimensional hypergeometric Padé approximations to classical functions, and high accuracy computations of high order eigenvalues and eigenstates for 2D and 3D domains of complex geometry. Methods based on boundary integrals, Galerkin techniques for various eigenfunction expansions and singularity analysis are examined.

Suggested Citation

  • D. V. Chudnovsky & G. V. Chudnovsky, 1996. "Approximation Methods in Transcendental Function Computations and Some Physical Applications," Springer Books, in: David V. Chudnovsky & Gregory V. Chudnovsky & Melvyn B. Nathanson (ed.), Number Theory: New York Seminar 1991–1995, chapter 4, pages 43-69, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-2418-1_4
    DOI: 10.1007/978-1-4612-2418-1_4
    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:978-1-4612-2418-1_4. 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.