Title
ZEBEC : a mathematical software package for computing simple zeros of Bessel functions of real order and complex argument ZEBEC : a mathematical software package for computing simple zeros of Bessel functions of real order and complex argument
Author
Faculty/Department
Faculty of Social Sciences. Communication Sciences
Publication type
article
Publication
Amsterdam ,
Subject
Computer. Automation
Source (journal)
Computer physics communications. - Amsterdam
Volume/pages
113(1998) :2-3 , p. 220-238
ISSN
0010-4655
ISI
000076719000007
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Abstract
A reliable and portable software package, called ZEBEC (ZEros of BEssel functions Complex), is presented, which localizes and computes simple zeros of Bessel functions of the first, the second or the third kind, or their derivatives. The Bessel functions are of real order and complex argument. ZEBEC calculates with certainty the total number of zeros within a given box whose edges are parallel to the coordinate axes. Cauchy's Theorem is used for this calculation. Then the program isolates each one of the zeros, utilizing the above-mentioned theorem, and finally computes them to a given desired accuracy using a generalized method of bisection.
E-info
https://repository.uantwerpen.be/docman/iruaauth/90ff10/e0212fff6c1.pdf
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000076719000007&DestLinkType=RelatedRecords&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000076719000007&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000076719000007&DestLinkType=CitingArticles&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848