SEGJ Technical Conference


High-precision cumputation of Hankel transform using continuous Euler transformation


Abstract
A high-precision computation program based on the new algorithm was developed to solve Hankel transform numerically. The new algorithm using continuous Euler transformation can accelerate the convergence of an alternating series. This algorithm is also applicable to numerical integration of oscillating function such as Fourier integration. As a result of numerical evaluation, the new method has better computation precision than conventional linear filter method. This new method will become a main method to calculate Hankel transform instead of linear filter method.