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[Bug-gsl] [bug #36152] Incorrect asymptotics of spherical Bessel functio
From: |
Jussi Lehtola |
Subject: |
[Bug-gsl] [bug #36152] Incorrect asymptotics of spherical Bessel functions |
Date: |
Wed, 11 Apr 2012 11:43:46 +0000 |
User-agent: |
Mozilla/5.0 (X11; Linux x86_64) AppleWebKit/535.11 (KHTML, like Gecko) Chrome/17.0.963.79 Safari/535.11 |
URL:
<http://savannah.gnu.org/bugs/?36152>
Summary: Incorrect asymptotics of spherical Bessel functions
Project: GNU Scientific Library
Submitted by: jussilehtola
Submitted on: Wed 11 Apr 2012 11:43:45 AM GMT
Category: Accuracy problem
Severity: 3 - Normal
Operating System:
Status: None
Assigned to: None
Open/Closed: Open
Release:
Discussion Lock: Any
_______________________________________________________
Details:
There's something seriously wrong with the spherical Bessel functions. j_n (x)
should go to zero as 1/x when x \to \infty. However, the values computed by
GSL actually diverge!
Test case attached. As you can see, the values turn bad for j_0 at around
x=1e18.
_______________________________________________________
File Attachments:
-------------------------------------------------------
Date: Wed 11 Apr 2012 11:43:45 AM GMT Name: testbessel.c Size: 320B By:
jussilehtola
<http://savannah.gnu.org/bugs/download.php?file_id=25629>
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