The Summation by Parts Algorithm: A New Efficient Technique for the Rapid Calculation of Certain Series Arising in Shielded Planar Structures
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Research GroupGrupo de Electromagnetismo Aplicado a las Telecomunicaciones (GEAT)
Knowledge AreaTeoría de la Señal y las Comunicaciones
SponsorsUniversidad Politécnica Federal de Lausanne (EPFL)
Bibliographic CitationMOSING, 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.
Shielded Green's functions
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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