Chebyshev sries for the spherical bessel function l(r)

✍ Scribed by G. Delic

• Publisher: Elsevier Science
• Year: 1984
• Tongue: English
• Weight: 33 KB
• Volume: 35
• Category: Article
• ISSN: 0010-4655
• DOI: 10.1016/s0010-4655(84)82751-4

✦ Synopsis

Nature of the problem

Numerical evaluation of the spherical Bessel function jl(r).

Method of sohttion

Expansion ofjl(r) in series of Chebyshev polynomials and evaluation of the coefficients by recurrence.

Restrictions Oll the complexity of the problem

Ranges confined to: 0 < 1 ~< 20 and 0 < r < 72 but readily extendable, subject only to the restrictions of available machine precision and exponentiation range.

Typical nlnnbtg time

Dependent on required range and accuracy: for the test case with extended precision and accuracy of thirty figures it is 2.02 s of wMch 1.14 s is for calculation of the expansion coefficient s. * Work sponsored by the Bundesministerium fhr Forschung und Technologie.