Title :
On the use of Shank´s transform to accelerate the summation of slowly converging series
Author :
Singh, Surendra ; Singh, Ritu
Author_Institution :
Dept. of Electr. Eng., Tulsa Univ., OK, USA
fDate :
3/1/1991 12:00:00 AM
Abstract :
It is shown that the application of Shank´s transform results in accelerating the convergence of slowly converging series. The transform is applied to a periodic Green´s function involving a single summation. The convergence properties of this series are reported for the on-plane case, in which the series converges extremely slowly. Numerical results indicate that by using Shanks´ transform the computation time can be reduced by as much as a factor of 200
Keywords :
Green´s function methods; convergence of numerical methods; series (mathematics); transforms; Shank´s transform; convergence properties; periodic Green´s function; slowly converging series; summation acceleration; Acceleration; Convergence; Moment methods; Periodic structures; Scattering;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
