Computation of J n (x) by numerical integration-Reference-Cited by-同舟云学术

Computation of J n (x) by numerical integration

Published:1969-04 Issue:4 Volume:12 Page:236-238
ISSN:0001-0782
Container-title:Communications of the ACM
language:en
Short-container-title:Commun. ACM

Author:

Stroud A. H.¹,Kohli J. P.¹

Affiliation:

1. State Univ. of New York at Buffalo

Abstract

It is shown to be practical to compute J n ( x ) by numerical integration of its integral representation using the trapezoidal rule. The error in this approximation was studied empirically.

Publisher

Association for Computing Machinery (ACM)

Subject

General Computer Science

Link

https://dl.acm.org/doi/pdf/10.1145/362912.362942

Reference7 articles.

1. Certification of algorithm 21 [S17]: Bessel function for a set of integer orders

2. Numerical Calculation of Certain Definite Integrals by Poisson's Summation Formula

3. Algorithm 236: Bessel Functions of the First Kind

4. Recurrence Techniques for the Calculation of Bessel Functions

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A note on trigonometric approximations of Bessel functions of the first kind, and trigonometric power sums;Fundamental Journal of Mathematics and Applications;2022-11-02

2. The Exponentially Convergent Trapezoidal Rule;SIAM Review;2014-01

3. Approximation of the Bessel function Jν(x) by numerical integration;Journal of Computational and Applied Mathematics;1981-06

4. Effect of surface distortions on the crosspolarisation performance of paraboloidal reflectors;Electronics Letters;1977

5. The evaluation of integrals of periodic analytic functions;BIT;1971-06