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dc.contributor.authorHashemian, Ali
dc.contributor.authorSliusarenko, Hanna
dc.contributor.authorRemogna, Sara
dc.contributor.authorBarrera Rosillo, Domingo
dc.contributor.authorBartoň, Michael
dc.date.accessioned2024-01-30T11:12:01Z
dc.date.available2024-01-30T11:12:01Z
dc.date.issued2023-08-01
dc.identifier.citationAli Hashemian, Hanna Sliusarenko, Sara Remogna, Domingo Barrera, Michael Bartoň, Solving boundary value problems via the Nyström method using spline Gauss rules, Computers & Mathematics with Applications 143 (2023) 33-47, https://doi.org/10.1016/j.camwa.2023.04.035es_ES
dc.identifier.urihttps://hdl.handle.net/10481/87627
dc.descriptionArtículo publicado recientemente. Dos años de embargo.es_ES
dc.description.abstractWe propose to use spline Gauss quadrature rules for solving boundary value problems (BVPs) using the Nyström method. When solving BVPs, one converts the corresponding partial differential equation inside a domain into the Fredholm integral equation of the second kind on the boundary in the sense of boundary integral equation (BIE). The Fredholm integral equation is then solved using the Nyström method, which involves the use of a particular quadrature rule, thus, converting the BIE problem to a linear system. We demonstrate this concept on the 2D Laplace problem over domains with smooth boundary as well as domains containing corners. We validate our approach on benchmark examples and the results indicate that, for a fixed number of quadrature points (i.e., the same computational effort), the spline Gauss quadratures return an approximation that is by one to two orders of magnitude more accurate compared to the solution obtained by traditional polynomial Gauss counterparts.es_ES
dc.description.sponsorshipThis work has received funding from the Spanish Ministry of Science and Innovation projects with references PID2019-108111RB-I00 and PID2019-104488RB-I00, the “BCAM Severo Ochoa” accreditation of excellence CEX2021-001142-S/MICIN/AEI/10.13039/501100011033, and the Basque Government through the BERC 2022-2025 program. The third author is a member of the INdAM-GNCS Research group. The fourth author is a member of the IMAG, the Institute of Mathematics of the University of Granada.es_ES
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.titleSolving boundary value problems via the Nyström method using spline Gauss ruleses_ES
dc.typejournal articlees_ES
dc.rights.accessRightsembargoed accesses_ES
dc.identifier.doi10.1016/j.camwa.2023.04.035
dc.type.hasVersionVoRes_ES


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