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Solving differential eigenproblems via the spectral Tau method

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Solving differential eigenproblems via the spectral Tau method

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dc.contributor.author Vasconcelos, P. B. es_ES
dc.contributor.author Roman, Jose E. es_ES
dc.contributor.author Matos, J. M. A. es_ES
dc.date.accessioned 2023-02-28T19:00:46Z
dc.date.available 2023-02-28T19:00:46Z
dc.date.issued 2023-03 es_ES
dc.identifier.issn 1017-1398 es_ES
dc.identifier.uri http://hdl.handle.net/10251/192158
dc.description.abstract [EN] The spectral Tau method to compute eigenpairs of ordinary differential equations is implemented as part of the Tau Toolbox-a numerical library for the solution of integro-differential problems. This mathematical software enables a symbolic syntax to be applied to objects to manipulate and solve differential problems with ease and accuracy. The library is explained in detail and its application to various problems is illustrated: numerical approximations for linear, quadratic, and nonlinear differential eigenvalue problems. es_ES
dc.description.sponsorship This work was partially supported by the Spanish Agencia Estatal de Investigacion under grant PID2019-107379RB-I00/AEI/10.13039/501100011033, and by CMUP, which is financed by national funds through FCT-Fundacao para a Ciencia e a Tecnologia, I.P., under the project with reference UIDB/00144/2020. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Numerical Algorithms es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Spectral methods es_ES
dc.subject Differential eigenproblems es_ES
dc.subject Algebraic eigenvalue problems es_ES
dc.subject.classification CIENCIAS DE LA COMPUTACION E INTELIGENCIA ARTIFICIAL es_ES
dc.title Solving differential eigenproblems via the spectral Tau method es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s11075-022-01366-z es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-107379RB-I00/ES/ALGORITMOS PARALELOS Y SOFTWARE PARA METODOS ALGEBRAICOS EN ANALISIS DE DATOS/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00144%2F2020/PT es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escola Tècnica Superior d'Enginyeria Informàtica es_ES
dc.description.bibliographicCitation Vasconcelos, PB.; Roman, JE.; Matos, JMA. (2023). Solving differential eigenproblems via the spectral Tau method. Numerical Algorithms. 92:1789-1811. https://doi.org/10.1007/s11075-022-01366-z es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s11075-022-01366-z es_ES
dc.description.upvformatpinicio 1789 es_ES
dc.description.upvformatpfin 1811 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 92 es_ES
dc.relation.pasarela S\482305 es_ES
dc.contributor.funder AGENCIA ESTATAL DE INVESTIGACION es_ES
dc.contributor.funder Fundação para a Ciência e a Tecnologia, Portugal es_ES
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