NUMERICAL EVALUATION OF OSCILLATORY INTEGRALS WITH SPECIFIC APPLICATION TO THE MODIFIED BESSEL FUNCTION KIS (X)

摘要

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).