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...

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Autores: Mosig, Juan Ramón, Melcón Álvarez, Alejandro
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2002
País:España
Institución:Universidad Politécnica de Cartagena(UPCT)
Repositorio:Repositorio Digital UPCT
OAI Identifier:oai:repositorio.upct.es:10317/3888
Acceso en línea:http://hdl.handle.net/10317/3888
Access Level:acceso abierto
Palabra clave:Convergence acceleration
modal expansions
Shielded Green's functions
Teoría de la Señal y las Comunicaciones
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spelling The Summation by Parts Algorithm: A New Efficient Technique for the Rapid Calculation of Certain Series Arising in Shielded Planar StructuresMosig, Juan RamónMelcón Álvarez, AlejandroConvergence accelerationmodal expansionsShielded Green's functionsTeoría de la Señal y las ComunicacionesThis 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.Universidad Politécnica Federal de Lausanne (EPFL)IEEEGrupo de Electromagnetismo Aplicado a las Telecomunicaciones (GEAT)201420142002info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/10317/3888reponame:Repositorio Digital UPCTinstname:Universidad Politécnica de Cartagena(UPCT)Inglés© Copyright 2002 IEEEinfo:eu-repo/semantics/openAccessoai:repositorio.upct.es:10317/38882026-05-15T06:39:02Z
dc.title.none.fl_str_mv The Summation by Parts Algorithm: A New Efficient Technique for the Rapid Calculation of Certain Series Arising in Shielded Planar Structures
title The Summation by Parts Algorithm: A New Efficient Technique for the Rapid Calculation of Certain Series Arising in Shielded Planar Structures
spellingShingle The Summation by Parts Algorithm: A New Efficient Technique for the Rapid Calculation of Certain Series Arising in Shielded Planar Structures
Mosig, Juan Ramón
Convergence acceleration
modal expansions
Shielded Green's functions
Teoría de la Señal y las Comunicaciones
title_short The Summation by Parts Algorithm: A New Efficient Technique for the Rapid Calculation of Certain Series Arising in Shielded Planar Structures
title_full The Summation by Parts Algorithm: A New Efficient Technique for the Rapid Calculation of Certain Series Arising in Shielded Planar Structures
title_fullStr The Summation by Parts Algorithm: A New Efficient Technique for the Rapid Calculation of Certain Series Arising in Shielded Planar Structures
title_full_unstemmed The Summation by Parts Algorithm: A New Efficient Technique for the Rapid Calculation of Certain Series Arising in Shielded Planar Structures
title_sort The Summation by Parts Algorithm: A New Efficient Technique for the Rapid Calculation of Certain Series Arising in Shielded Planar Structures
dc.creator.none.fl_str_mv Mosig, Juan Ramón
Melcón Álvarez, Alejandro
author Mosig, Juan Ramón
author_facet Mosig, Juan Ramón
Melcón Álvarez, Alejandro
author_role author
author2 Melcón Álvarez, Alejandro
author2_role author
dc.contributor.none.fl_str_mv Grupo de Electromagnetismo Aplicado a las Telecomunicaciones (GEAT)
dc.subject.none.fl_str_mv Convergence acceleration
modal expansions
Shielded Green's functions
Teoría de la Señal y las Comunicaciones
topic Convergence acceleration
modal expansions
Shielded Green's functions
Teoría de la Señal y las Comunicaciones
description 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.
publishDate 2002
dc.date.none.fl_str_mv 2002
2014
2014
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10317/3888
url http://hdl.handle.net/10317/3888
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv © Copyright 2002 IEEE
info:eu-repo/semantics/openAccess
rights_invalid_str_mv © Copyright 2002 IEEE
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv IEEE
publisher.none.fl_str_mv IEEE
dc.source.none.fl_str_mv reponame:Repositorio Digital UPCT
instname:Universidad Politécnica de Cartagena(UPCT)
instname_str Universidad Politécnica de Cartagena(UPCT)
reponame_str Repositorio Digital UPCT
collection Repositorio Digital UPCT
repository.name.fl_str_mv
repository.mail.fl_str_mv
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