Acceleration of oscillating green´s function series using term splitting

Acceleration procedures are powerful tools to evaluate numerically slowly converging series. Depending on the partial sum behavior, different acceleration procedures are recommended. These procedures are inherently non-linear. In this paper we demonstrate that splitting the original series in two subseries may considerably increase the efficiency of well-known acceleration algorithms. For double series, this basic technique can be applied after splitting the original series into several sub-series.