%0 Journal Article %A Mosig, Juan Ramón %A Álvarez Melcón , Alejandro %T The Summation by Parts Algorithm: A New Efficient Technique for the Rapid Calculation of Certain Series Arising in Shielded Planar Structures %D 2002 %@ 0018-9480 %U http://hdl.handle.net/10317/3888 %X This paper presents a new technique for the convergence acceleration of a large class of series often arising in electromagnetic problems. The technique is based on the recursive application of the integration-by-parts technique to discrete sequences, thus the given name of the "summation-by-parts" technique. It is shown that the new technique greatly enhances the convergence rate of the series treated, and very small relative errors are obtained by performing a few simple operations. The new technique is applied to the efficient numerical calculation of the Green's functions in a parallel-plate waveguide. %K Teoría de la Señal y las Comunicaciones %K Convergence acceleration %K modal expansions %K Shielded Green's functions %~ GOEDOC, SUB GOETTINGEN