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Energy preserving methods for volterra lattice equation

dc.contributor.authorKarasözen, Bülenten_US
dc.contributor.authorErdem, Özgeen_US
dc.date.accessioned2020-09-21T10:51:15Z
dc.date.available2020-09-21T10:51:15Z
dc.date.issued2011-09-11
dc.identifier.citationKarasözen, B. & Erdem, Ö. (2011). Energy preserving methods for volterra lattice equation. TWMS Journal Of Applied And Engineering Mathematics, 1(2), 192-202.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/2431
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/86-vol1no2/161
dc.description.abstractWe investigate linear energy preserving methods for the Volterra lattice equation as non-canonical Hamiltonian system. The averaged vector field method was applied to the Volterra lattice equation in bi-Hamiltonian form with quadratic and cubic Poisson brackets. Numerical results confirm the excellent long time preservation of the Hamiltonians and the polynomial integrals.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal Of Applied And Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectEnergy preserving integratorsen_US
dc.subjectRunge-Kutta methodsen_US
dc.subjectBi-Hamiltonian systemsen_US
dc.subjectPoisson structureen_US
dc.titleEnergy preserving methods for volterra lattice equationen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume1
dc.identifier.issue2
dc.identifier.startpage192
dc.identifier.endpage202
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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