Accession Number:

ADA002197

Title:

Numerical Evaluation of Oscillatory Integrals with Specific Application to the Modified Bessel Function (K sub i, zeta) (x).

Descriptive Note:

Final rept.,

Corporate Author:

NAVAL RESEARCH LAB WASHINGTON D C

Personal Author(s):

• Boris,Jay P.
• Oran,Elaine S.

Report Date:

1974-10-01

Pagination or Media Count:

28.0

Abstract:

The authors present an orthogonalized Fourier method for the numerical evaluation of oscillatory integrals which have an infinite range of integration. This method in contrast to others which have been developed, attains maximum efficiency in the limit of rapid oscillations. The results are compared to those obtained from a Gaussian integration scheme and the Shanks acceleration of the Gaussian results. Special attention is given to the evaluation of the modified Bessel Function K sub i, zeta x.

Descriptors:

• *NUMERICAL INTEGRATION
• *INTEGRAL TRANSFORMS
• *BESSEL FUNCTIONS
• COMPUTER PROGRAMS
• FORTRAN
• FOURIER ANALYSIS

Subject Categories:

• Numerical Mathematics
• Computer Programming and Software

Distribution Statement:

APPROVED FOR PUBLIC RELEASE