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dc.contributor.authorBayındır, Cihanen_US
dc.date.accessioned2019-03-18T02:02:29Z
dc.date.available2019-03-18T02:02:29Z
dc.date.issued2018-01-01
dc.identifier.citationBayindir, C. (2018). Compressive spectral renormalization method. Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, 8(2), 425-437.en_US
dc.identifier.issn2146-1147
dc.identifier.otherWOS:000451973900008
dc.identifier.urihttps://hdl.handle.net/11729/1477
dc.description.abstractIn this paper a novel numerical scheme for finding the sparse self-localized states of a nonlinear system of equations with missing spectral data is introduced. As in the Petviashivili's and the spectral renormalization method, the governing equation is transformed into Fourier domain, but the iterations are performed for far fewer number of spectral components (M) than classical versions of the these methods with higher number of spectral components (N). After the converge criteria is achieved for M components, N component signal is reconstructed from M components by using the l(1) minimization technique of the compressive sampling. This method can be named as compressive spectral renormalization (CSRM) method. The main advantage of the CSRM is that, it is capable of finding the sparse self-localized states of the evolution equation(s) with many spectral data missing.en_US
dc.language.isoengen_US
dc.publisherTurkic World Mathematical Socen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.sourceTurkish World Mathematical Society Journal of Applied and Engineering Mathematicsen_US
dc.subjectSpectral renormalizationen_US
dc.subjectPetviashivili's methoden_US
dc.subjectCompressive samplingen_US
dc.subjectSpectral methodsen_US
dc.subjectNonlinear Schrodinger equationen_US
dc.subjectWavesen_US
dc.subjectSolitonsen_US
dc.titleCompressive spectral renormalization methoden_US
dc.typearticleen_US
dc.description.versionPublisher's Versionen_US
dc.contributor.departmentIşık Üniversitesi, Mühendislik Fakültesi, İnşaat Mühendisliği Bölümüen_US
dc.contributor.departmentIşık University, Faculty of Engineering, Department of Civil Engineeringen_US
dc.contributor.authorID32617
dc.identifier.volume8
dc.identifier.issue2
dc.identifier.startpage425
dc.identifier.endpage437
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryBelirsizen_US
dc.contributor.institutionauthorBayındır, Cihan


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