ELF and GNOME: Two tiny codes to evaluate the real zeros of the Bessel functions of the first kind for real orders
| Main Author: | CPC, Mendeley |
|---|---|
| Other Authors: | Segura, J., Gil, A. |
| Format: | Dataset |
| Terbitan: |
Mendeley
, 1999
|
| Subjects: | |
| Online Access: |
https:/data.mendeley.com/datasets/gp2bbjm6cf |
| ctrlnum |
0.17632-gp2bbjm6cf.1 |
|---|---|
| fullrecord |
<?xml version="1.0"?>
<dc><creator>CPC, Mendeley</creator><title>ELF and GNOME: Two tiny codes to evaluate the real zeros of the Bessel functions of the first kind for real orders </title><publisher>Mendeley</publisher><description>Abstract
Two codes to evaluate the real zeros (j_(v,s)) of the Bessel functions of the first kind J_v (x) for real orders v are presented. The codes are based on a Newton-Raphson iteration over the monotonic function f_v (x) = x^(2v-1)J_v (x)/J_(v-x)(x). The code ELF is a remarkably short program for finding, given any starting value x_0 >0 and any real order, the zero of J_v (x) in the neighborhood of x_0(x_0and the zero in the same branch of f_v (x)). GNOME is a modification of ELF for fi...
Title of program: ELF, GNOME
Catalogue Id: ADJY_v1_0
Nature of problem
We include two codes in order to evaluate the zeros of first kind Bessel functions for real orders nu: The subroutine ELF finds the zero jnu,s of the first kind Bessel function Jnu(x) in the neighbourhood of a given starting value x0 (x0 and jnu,s in the same branch of Hnu(x)=Jnu(x)/Jnu-1(x)). The subroutine GNOME finds the zeros in a given interval [xmin, xmax]. The zeros of first kind Bessel functions appear in the solution of many different physical and engineering applications: wave guides, ...
Versions of this program held in the CPC repository in Mendeley Data
ADJY_v1_0; ELF, GNOME; 10.1016/S0010-4655(98)00193-3
This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)</description><subject>Computational Physics</subject><subject>Computational Method</subject><contributor>Segura, J.</contributor><contributor>Gil, A.</contributor><type>Other:Dataset</type><identifier>10.17632/gp2bbjm6cf.1</identifier><rights>Computer Physics Communications Journal Licence</rights><rights>https://www.elsevier.com/about/policies/open-access-licenses/elsevier-user-license/cpc-license/</rights><relation>https:/data.mendeley.com/datasets/gp2bbjm6cf</relation><date>1999-03-11T12:00:00Z</date><recordID>0.17632-gp2bbjm6cf.1</recordID></dc>
|
| format |
Other:Dataset Other |
| author |
CPC, Mendeley |
| author2 |
Segura, J. Gil, A. |
| title |
ELF and GNOME: Two tiny codes to evaluate the real zeros of the Bessel functions of the first kind for real orders |
| publisher |
Mendeley |
| publishDate |
1999 |
| topic |
Computational Physics Computational Method |
| url |
https:/data.mendeley.com/datasets/gp2bbjm6cf |
| contents |
Abstract
Two codes to evaluate the real zeros (j_(v,s)) of the Bessel functions of the first kind J_v (x) for real orders v are presented. The codes are based on a Newton-Raphson iteration over the monotonic function f_v (x) = x^(2v-1)J_v (x)/J_(v-x)(x). The code ELF is a remarkably short program for finding, given any starting value x_0 >0 and any real order, the zero of J_v (x) in the neighborhood of x_0(x_0and the zero in the same branch of f_v (x)). GNOME is a modification of ELF for fi...
Title of program: ELF, GNOME
Catalogue Id: ADJY_v1_0
Nature of problem
We include two codes in order to evaluate the zeros of first kind Bessel functions for real orders nu: The subroutine ELF finds the zero jnu,s of the first kind Bessel function Jnu(x) in the neighbourhood of a given starting value x0 (x0 and jnu,s in the same branch of Hnu(x)=Jnu(x)/Jnu-1(x)). The subroutine GNOME finds the zeros in a given interval [xmin, xmax]. The zeros of first kind Bessel functions appear in the solution of many different physical and engineering applications: wave guides, ...
Versions of this program held in the CPC repository in Mendeley Data
ADJY_v1_0; ELF, GNOME; 10.1016/S0010-4655(98)00193-3
This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018) |
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IOS7969.0.17632-gp2bbjm6cf.1 |
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Universitas Islam Indragiri |
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onesearch.perpusnas.go.id |
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804 |
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library:university library |
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Teknologi Pangan UNISI |
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2816 |
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RIAU |
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1 |
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17.538404 |