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Article: Error analysis for the numerical evaluation of the diagonal forms of the scalar spherical addition theorem

TitleError analysis for the numerical evaluation of the diagonal forms of the scalar spherical addition theorem
Authors
KeywordsError Analysis
Fast Multipole Method
Integration Error
Interpolation Error
Multilevel Fast Multipole Algorithm
Truncation Error
Issue Date1999
PublisherSociety for Industrial and Applied Mathematics. The Journal's web site is located at http://epubs.siam.org/sam-bin/dbq/toclist/SINUM
Citation
SIAM Journal On Numerical Analysis, 1999, v. 36 n. 3, p. 906-921 How to Cite?
AbstractThe numerical solution of wave scattering from large objects or from a large cluster of scatterers requires excessive computational resources and it becomes necessary to use approximate -but fast - methods such as the fast multipole method; however, since these methods are only approximate, it is important to have an estimate for the error introduced in such calculations. An analysis of the error for the fast multipole method is presented and estimates for truncation and numerical integration errors are obtained. The error caused by polynomial interpolation in a multilevel fast multipole algorithm is also analyzed. The total error introduced in a multilevel implementation is also investigated numerically.
Persistent Identifierhttp://hdl.handle.net/10722/182440
ISSN
2015 Impact Factor: 1.899
2015 SCImago Journal Rankings: 2.972
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorKoc, Sen_US
dc.contributor.authorSong, Jen_US
dc.contributor.authorChew, WCen_US
dc.date.accessioned2013-05-02T05:15:21Z-
dc.date.available2013-05-02T05:15:21Z-
dc.date.issued1999en_US
dc.identifier.citationSIAM Journal On Numerical Analysis, 1999, v. 36 n. 3, p. 906-921en_US
dc.identifier.issn0036-1429en_US
dc.identifier.urihttp://hdl.handle.net/10722/182440-
dc.description.abstractThe numerical solution of wave scattering from large objects or from a large cluster of scatterers requires excessive computational resources and it becomes necessary to use approximate -but fast - methods such as the fast multipole method; however, since these methods are only approximate, it is important to have an estimate for the error introduced in such calculations. An analysis of the error for the fast multipole method is presented and estimates for truncation and numerical integration errors are obtained. The error caused by polynomial interpolation in a multilevel fast multipole algorithm is also analyzed. The total error introduced in a multilevel implementation is also investigated numerically.en_US
dc.languageengen_US
dc.publisherSociety for Industrial and Applied Mathematics. The Journal's web site is located at http://epubs.siam.org/sam-bin/dbq/toclist/SINUMen_US
dc.relation.ispartofSIAM Journal on Numerical Analysisen_US
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectError Analysisen_US
dc.subjectFast Multipole Methoden_US
dc.subjectIntegration Erroren_US
dc.subjectInterpolation Erroren_US
dc.subjectMultilevel Fast Multipole Algorithmen_US
dc.subjectTruncation Erroren_US
dc.titleError analysis for the numerical evaluation of the diagonal forms of the scalar spherical addition theoremen_US
dc.typeArticleen_US
dc.identifier.emailChew, WC: wcchew@hku.hken_US
dc.identifier.authorityChew, WC=rp00656en_US
dc.description.naturepublished_or_final_versionen_US
dc.identifier.doi10.1137/S0036142997328111-
dc.identifier.scopuseid_2-s2.0-0001229383en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0001229383&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume36en_US
dc.identifier.issue3en_US
dc.identifier.spage906en_US
dc.identifier.epage921en_US
dc.identifier.isiWOS:000080372600011-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridKoc, S=7003829699en_US
dc.identifier.scopusauthoridSong, J=7404788341en_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US

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