Filon trapezoidal schemes for Hankel transforms of orders zero and one
Algorithms for evaluating zero-order and first-order Hankel transforms using Filon quadrature philosophy are developed in the context of a trapezoidal approximation rather than of a Simpson's rule approximation previously discussed. Unlike the Filon/Simpson algorithm previously developed, the Filon/trapezoidal algorithm tends to saturate, in that increasing the number of quadrature points does not materially increase the accuracy. Numerical examples are given and discussed. (C) 2000 Elsevier Science Ltd. All rights reserved.
filon trapezoidal scheme hankel transform of order zero algorithm hankel transform of order one