IDEAS home Printed from https://ideas.repec.org/a/epw/ejmath/v4y2023i5id14283.html

Approximate Method to Compute Hypersingular Finite-Part Integrals with Rapidly Oscillating Kernels

Author

Listed:
  • Maria Rosaria Capobianco

    (Istituto per le Applicazioni del Calcolo “Mauro Picone” – CNR, Italy)

  • Giuliana Criscuolo

    (Università degli Studi di Napoli “Federico II”, Italy)

Abstract

In this paper, an algorithm for the numerical evaluation of hypersingular finite-part integrals with rapidly oscillating kernels is proposed. The method is based on an interpolatory procedure at zeros of the orthogonal polynomials with respect to the first kind Chebyshev weight. Bounds of the error and of the amplification factor are also provided. Numerically stable procedures are obtained and the corresponding algorithms can be implemented in a fast way.

Suggested Citation

Handle: RePEc:epw:ejmath:v:4:y:2023:i:5:id:14283
DOI: 10.24018/ejmath.2023.4.5.283
as

Download full text from publisher

File URL: https://eu-opensci.org/index.php/ejmath/article/view/14283
File Function: Abstract page
Download Restriction: no
File URL: https://eu-opensci.org/index.php/ejmath/article/download/14283/3232
File Function: Full text
Download Restriction: no
File URL: https://libkey.io/10.24018/ejmath.2023.4.5.283?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
---><---

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:epw:ejmath:v:4:y:2023:i:5:id:14283. 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: Support Team (email available below). General contact details of provider: https://eu-opensci.org/index.php/ejmath .

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.