RFSFNS - A PORTABLE PACKAGE FOR THE NUMERICAL DETERMINATION OF THE NUMBER AND THE CALCULATION OF ROOTS OF BESSEL-FUNCTIONS

被引：19

作者：

VRAHATIS, MN

RAGOS, O

SKINIOTIS, T

ZAFIROPOULOS, FA

GRAPSA, TN

机构：

[1] Department of Mathematics, University of Patras

来源：

COMPUTER PHYSICS COMMUNICATIONS | 1995年 / 92卷 / 2-3期

关键词：

BESSEL FUNCTIONS; SIMPLE REAL ZEROS; TOPOLOGICAL DEGREE; KRONECKER-PICARD INTEGRAL; LOCALIZATION OF ZEROS; ISOLATION OF ZEROS; BOUNDS OF ZEROS; BISECTION METHOD; COMPUTATION OF ZEROS; STEEDS METHOD; BARNETTS ALGORITHM;

D O I：

10.1016/0010-4655(95)00115-9

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A portable software package, named RFSFNS, is presented for the localization and computation of the simple real zeros of the Bessel functions of first and second kind, J(nu)(z), Y-nu(z), respectively, and their derivatives, where nu greater than or equal to 0 and z > 0. This package implements the topological degree theory for the localization portion and a modified bisection method for the computation one, It localizes, isolates and computes with certainty all the desired zeros of the above functions in a predetermined interval within any accuracy (subject to relative machine precision), It has been implemented and tested on different machines utilizing the above Bessel functions of various orders and several intervals of the argument.

引用

页码：252 / 266

页数：15

共 17 条

[1] KLEIN-COULOMB FUNCTIONS FOR REAL-LAMBDA AND POSITIVE ENERGY TO HIGH-ACCURACY [J].