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

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).

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1974
Accession Number
ADA002197

Entities

People

  • Elaine Oran
  • Jay Paul Boris

Organizations

  • United States Naval Research Laboratory

Tags

DTIC Thesaurus Topics

  • Bessel Functions
  • Contrast
  • Efficiency
  • Integrals
  • Mathematics
  • Motion
  • Oscillation
  • Test And Evaluation

Readers

  • Approximation Theory.
  • Systems Analysis and Design