The Summation by Parts Algorithm: A New Efficient Technique for the Rapid Calculation of Certain Series Arising in Shielded Planar Structures
Research Group
Grupo de Electromagnetismo Aplicado a las Telecomunicaciones (GEAT)Knowledge Area
Teoría de la Señal y las ComunicacionesSponsors
Universidad Politécnica Federal de Lausanne (EPFL)Publication date
2002Publisher
IEEEBibliographic Citation
MOSING, J.R., ÁLVAREZ MELCÓN, A. The Summation by Parts Algorithm: A New Efficient Technique for the Rapid Calculation of Certain Series Arising in Shielded Planar Structures. En: IEEE Transactions on microwave theory and techniques, 2002. 215-218 p., vol.50, nº. 1.Peer review
SIKeywords
Convergence accelerationmodal expansions
Shielded Green's functions
Abstract
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.
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