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dc.contributor.authorFarina, L.
dc.contributor.authorMartin, P.A.
dc.contributor.authorPeron, V.
dc.date.accessioned2016-06-13T13:11:51Z
dc.date.available2016-06-13T13:11:51Z
dc.date.issued2014-12-31
dc.identifier.issn0377-0427
dc.identifier.urihttp://hdl.handle.net/20.500.11824/92
dc.description.abstractTwo-dimensional hypersingular equations over a disc are considered. A spectral method is developed, using Fourier series in the azimuthal direction and orthogonal polynomials in the radial direction. The method is proved to be convergent. Then, Tranter's method is discussed. This method was devised in the 1950s to solve certain pairs of dual integral equations. It is shown that this method is also convergent because it leads to the same algebraic system as the spectral method.
dc.formatapplication/pdf
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectFourier series
dc.subjectGalerkin methods
dc.subjectIntegral equations
dc.subjectPolynomials
dc.subjectAzimuthal direction
dc.subjectDual integral equations
dc.subjectHypersingular equation
dc.subjectHypersingular integral equation
dc.subjectJacobi polynomials
dc.subjectOrthogonal polynomial
dc.subjectSpectral methods
dc.subjectTranter's method
dc.subjectSpectroscopy
dc.titleHypersingular integral equations over a disc: Convergence of a spectral method and connection with Tranter's methoden_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1016/j.cam.2014.03.014
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S037704271400154X
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleJournal of Computational and Applied Mathematicsen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España