dc.contributor.author Farina, L. dc.contributor.author Martin, P.A. dc.contributor.author Peron, V. dc.date.accessioned 2016-06-13T13:11:51Z dc.date.available 2016-06-13T13:11:51Z dc.date.issued 2014-12-31 dc.identifier.issn 0377-0427 dc.identifier.uri http://hdl.handle.net/20.500.11824/92 dc.description.abstract Two-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.format application/pdf dc.language.iso eng en_US dc.rights Reconocimiento-NoComercial-CompartirIgual 3.0 España en_US dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/es/ en_US dc.subject Fourier series dc.subject Galerkin methods dc.subject Integral equations dc.subject Polynomials dc.subject Azimuthal direction dc.subject Dual integral equations dc.subject Hypersingular equation dc.subject Hypersingular integral equation dc.subject Jacobi polynomials dc.subject Orthogonal polynomial dc.subject Spectral methods dc.subject Tranter's method dc.subject Spectroscopy dc.title Hypersingular integral equations over a disc: Convergence of a spectral method and connection with Tranter's method en_US dc.type info:eu-repo/semantics/article en_US dc.identifier.doi 10.1016/j.cam.2014.03.014 dc.relation.publisherversion http://www.sciencedirect.com/science/article/pii/S037704271400154X dc.rights.accessRights info:eu-repo/semantics/openAccess en_US dc.type.hasVersion info:eu-repo/semantics/publishedVersion en_US dc.journal.title Journal of Computational and Applied Mathematics en_US
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