The summation-by-parts algorithm - A new efficient technique for the rapid calculation of certain series arising in shielded planar structures

  • Juan R. Mosig /
  • A. Alvarez Melcón
Journal ar
IEEE Transactions on Microwave Theory and Techniques
  • Volumen: 50
  • Número: 1 I
  • Fecha: 01 January 2002
  • Páginas: 215-218
  • ISSN: 00189480
  • Source Type: Journal
  • DOI: 10.1109/22.981269
  • Document Type: Article
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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