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dc.contributor.authorKisil, Anastasiaen
dc.date.accessioned2018-02-05T16:41:01Z
dc.date.available2018-02-05T16:41:01Z
dc.identifier.issn0036-1399
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/271693
dc.description.abstractThis paper introduces a new method for constructing approximate solutions to a class of Wiener{Hopf equations. This is particularly useful since exact solutions of this class of Wiener{Hopf equations, at the moment, cannot be obtained. The proposed method could be considered as a generalisation of the \pole removal" technique and Schwarzschild's series. The criteria for convergence is proved. The error in the approximation is explicitly estimated, and by a su cient number of iterations could be made arbitrary small. Typically only a few iterations are required for practical purposes. The theory is illustrated by numerical examples that demonstrate the advantages of the proposed procedure. This method was motivated by and successfully applied to problems in acoustics. 1.
dc.description.sponsorshipI acknowledge support from the Sultan Qaboos Research Fellowship at Corpus Christi College at University of Cambridge.
dc.languageengen
dc.publisherSociety for Industrial and Applied Mathematics
dc.subjectWiener--Hopf equationsen
dc.subjectRiemann-Hilbert problemen
dc.subjectiterative methodsen
dc.titleAn Iterative Wiener--Hopf method for triangular matrix functions with exponential factorsen
dc.typeArticle
prism.endingPage62
prism.issueIdentifier1en
prism.publicationNameSIAM Journal on Applied Mathematicsen
prism.startingPage45
prism.volume78en
dc.identifier.doi10.17863/CAM.18680
dcterms.dateAccepted2017-10-13en
rioxxterms.versionofrecord10.1137/17M1136304en
rioxxterms.versionVoR*
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2017-10-13en
dc.identifier.eissn1095-712X
rioxxterms.typeJournal Article/Reviewen
cam.issuedOnline2018-01-05en
cam.orpheus.successThu Jan 30 13:01:29 GMT 2020 - The item has an open VoR version.*
rioxxterms.freetoread.startdate2100-01-01


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