Integrating oscillatory integrands of a non-trigonometric type over a finite range

Abstract

A method is developed for the numerical integration of non-trigonometric oscillatory integrands with special emphasis on Bessel-type oscillations. The basis of the approach is a Chebeshev fit to the non-oscillatory part of the integrand, and the work is an extension of a previous method for trigonometric weight functions. A stable means of computing the required monomial integrals is presented, together with a representative set of test examples and comparisons.

Keywords:

• Numerical quadrature
• scillatory integrands
• bessel functions

C.R. Categories:

• G.1.4