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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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2 Author(s)
Mosig, J.R. ; Lab. of Electromagn. & Acoust., Swiss Fed. Inst. of Technol., Lausanne, Switzerland ; Alvarez Melcon, A.

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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Microwave Theory and Techniques, IEEE Transactions on  (Volume:50 ,  Issue: 1 )