ON THE LOCALIZATION AND COMPUTATION OF ZEROS OF BESSEL-FUNCTIONS

Citation
Mn. Vrahatis et al., ON THE LOCALIZATION AND COMPUTATION OF ZEROS OF BESSEL-FUNCTIONS, Zeitschrift fur angewandte Mathematik und Mechanik, 77(6), 1997, pp. 467-475
Citations number
28
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mechanics,Mathematics
ISSN journal
00442267
Volume
77
Issue
6
Year of publication
1997
Pages
467 - 475
Database
ISI
SICI code
0044-2267(1997)77:6<467:OTLACO>2.0.ZU;2-J
Abstract
The topological degree of a continuous mapping is implemented for the calculation of the total number of the simple real zeros within any in terval of the Bessel functions of first and second kind and their deri vatives. A new algorithm, based on this implementation, is given for t he localization and isolation of these zeros. Furthermore, a second al gorithm is presented for their computation employing a modified bisect ion method. The only information required for this computation is the algebraic signs of function values. Moreover, lower and upper bounds o f a zero can also be obtained.