The Summation by Parts Algorithm: A New Efficient Technique for the Rapid Calculation of Certain Series Arising in Shielded Planar Structures
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-pa...
| Authors: | , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2002 |
| Country: | España |
| Institution: | Universidad Politécnica de Cartagena(UPCT) |
| Repository: | Repositorio Digital UPCT |
| OAI Identifier: | oai:repositorio.upct.es:10317/3888 |
| Online Access: | http://hdl.handle.net/10317/3888 |
| Access Level: | Open access |
| Keyword: | Convergence acceleration modal expansions Shielded Green's functions Teoría de la Señal y las Comunicaciones |
| Summary: | 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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