The use of Levin's u-transform is shown to accelerate the summation of slowly convergent
series. The transform works effectively on alternating as well as monotonic series. The …

This paper presents an algorithm for the acceleration of the series involved in the
computation of 2-D homogeneous Green's functions with 1-D and 2-D periodicities. The …

It is shown that the application of linear and nonlinear algorithms improves the convergence
of the series representing the doubly infinite free-space periodic Green's function. The …

The Levin's T-transform is shown to accelerate the summation of slowly converging series.
This is illustrated by application of the transform to the series representing the free-space …

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 …

The application of Shanks's transform is shown to improve the convergence of the series
representing the doubly infinite free-space periodic Green's function. Higher order Shanks …

The 3-D homogeneous Green's function with 1-D periodicity is commonly expressed as
spatial and spectral infinite series that may show very slow convergence. In this work …

A new modification of the Kummer's method of M th order for 2≤ M≤ 6 is proposed for
efficient summation of the spectral and spatial series representing the 2-D and 3-D Green's …

The application of shaped theta-algorithm to the partial sums of a slowly converging series is
shown to accelerate its convergence. The algorithm is applied to accelerate the …

It is shown that a simple application of the Chebyschev-Toeplitz algorithm enhances the rate
of convergence of slowly converging series. The algorithm is applied to series representing …