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ZEROBESS

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ZEROBESS

by Jonas Lundgren

 

10 Feb 2010 (Updated 02 Dec 2011)

Zeros of Bessel functions of 1st and 2nd kind plus zeros of the derivatives.

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Description

Pretty fast code for zeros of Bessel functions of 1st and 2nd kind
and for zeros of the derivatives. The Newton-Raphson method is used
with the initial guess predicted from previously computed zeros.

Acknowledgements

The author wishes to acknowledge the following in the creation of this submission:
Bessel Function Zeros

MATLAB release MATLAB 7.8 (R2009a)
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Comments and Ratings (5)
09 Aug 2010 Nedialko

To try = to adopt

Suffices to say that it's more than 20 times faster than besselzero() & the vector norm of the difference
between besselzero() & zerobess()
across 800 zeros found (n=0:7, k=100) is about 10^(-15)!

13 Oct 2010 Jesse

This is every bit as good as chocolate ice cream.

15 Oct 2011 Eighteen  
25 Nov 2011 Amir  
19 Mar 2012 Thanh Chung  
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Updates
09 Nov 2010

Zeros of derivatives added.

22 Jun 2011

Cosmetic changes

21 Nov 2011

New contact info

02 Dec 2011

More accurate for zerobess('DJ',nu,1), nu < 0.005.

Tag Activity for this File
Tag Applied By Date/Time
mathematics Jonas Lundgren 10 Feb 2010 10:18:33
zeros Jonas Lundgren 10 Feb 2010 10:18:33
bessel function Jonas Lundgren 10 Feb 2010 10:18:33
zerobess Jonas Lundgren 10 Feb 2010 10:18:33
bessel Jonas Lundgren 09 Nov 2010 11:12:00
derivatives Jonas Lundgren 09 Nov 2010 11:12:00

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