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Fractional variational integrators based on convolution quadrature

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dc.contributor.authorHariz Belgacem, Khaled
dc.contributor.authorJiménez Alburquerque, Fernando
dc.contributor.authorOber-Blöbaum, Sina
dc.date.accessioned2026-01-20T13:05:51Z
dc.date.available2026-01-20T13:05:51Z
dc.date.issued2025-02-05
dc.descriptionThe registered version of this article, first published in Journal of Nonlinear Science, is available online at the publisher's website: Springer, https://doi.org/10.1007/s00332-025-10131-0
dc.descriptionLa versión registrada de este artículo, publicado por primera vez en Journal of Nonlinear Science, está disponible en línea en el sitio web del editor: Springer, https://doi.org/10.1007/s00332-025-10131-0
dc.description.abstractFractional dissipation is a powerful tool to study nonlocal physical phenomena such as damping models. The design of geometric, in particular, variational integrators for the numerical simulation of such systems relies on a variational formulation of the model. In Jiménez and Ober-Blöbaum (J Nonlinear Sci 31:46, 2021), a new approach is proposed to deal with dissipative systems including fractionally damped systems in a variational way for both, the continuous and discrete setting. It is based on the doubling of variables and their fractional derivatives. The aim of this work is to derive higher-order fractional variational integrators by means of convolution quadrature (CQ) based on backward difference formulas. We then provide numerical methods that are of order 2 improving a previous result in Jiménez and Ober-Blöbaum (J Nonlinear Sci 31:46, 2021). The convergence properties of the fractional variational integrators and saturation effects due to the approximation of the fractional derivatives by CQ are studied numerically.en
dc.description.provenanceMade available in DSpace on 2026-01-20T13:05:51Z (GMT). No. of bitstreams: 1 Fractional variational integrators based on convolution quadrature.pdf: 844571 bytes, checksum: 6c4fdd0a6ed4c1501424769d75e71648 (MD5) Previous issue date: 2025-02-05en
dc.description.versionversión publicada
dc.identifier.citationHariz Belgacem, K., Jiménez, F. & Ober-Blöbaum, S. Fractional Variational Integrators Based on Convolution Quadrature. J Nonlinear Sci 35, 38 (2025). https://doi.org/10.1007/s00332-025-10131-0
dc.identifier.doihttps://doi.org/10.1007/s00332-025-10131-0
dc.identifier.eissn1432-1467
dc.identifier.issn0938-8974
dc.identifier.urihttps://hdl.handle.net/20.500.14468/31490
dc.journal.issue2
dc.journal.titleJournal of Nonlinear Science
dc.journal.volume35
dc.language.isoen
dc.publisherSpringer
dc.relation.centerE.T.S. de Ingenieros Industriales
dc.relation.departmentMatemática Aplicada I
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
dc.subject12 Matemáticas
dc.subject.keywordsConvolution quadratureen
dc.subject.keywordsFractional derivativesen
dc.subject.keywordsFractional dissipative systemsen
dc.subject.keywordsFractional differential equationsen
dc.subject.keywordsVariational principlesen
dc.subject.keywordsVariational integratorsen
dc.titleFractional variational integrators based on convolution quadratureen
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscovery2e39e62c-a93f-46b7-aa64-7b2227e7a2dd
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