TY - JOUR A1 - Mosig, Juan Ramón AU - Álvarez Melcón , Alejandro T1 - The Summation by Parts Algorithm: A New Efficient Technique for the Rapid Calculation of Certain Series Arising in Shielded Planar Structures Y1 - 2002 SN - 0018-9480 UR - http://hdl.handle.net/10317/3888 AB - 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. KW - Teoría de la Señal y las Comunicaciones KW - Convergence acceleration KW - modal expansions KW - Shielded Green's functions LA - eng PB - IEEE ER -