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Energy preserving integration of bi-Ham

dc.contributor.authorKarasözen, Bülenten_US
dc.contributor.authorŞimşek, Görkemen_US
dc.date.accessioned2020-09-29T08:43:22Z
dc.date.available2020-09-29T08:43:22Z
dc.date.issued2013-01-04
dc.identifier.citationKarasözen, B. & Şimşek, G. (2013). Energy preserving integration of bi-Ham. TWMS Journal Of Applied And Engineering Mathematics, 3(1), 75-86.en_US
dc.identifier.issn2146-1147
dc.identifier.issn2587-1013
dc.identifier.urihttps://hdl.handle.net/11729/2488
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/83-vol3no1/129
dc.description.abstractThe energy preserving average vector field (AVF) integrator is applied to evolutionary partial differential equations (PDEs) in bi-Hamiltonian form with nonconstant Poisson structures. Numerical results for the Korteweg de Vries (KdV) equation and for the Ito type coupled KdV equation confirm the long term preservation of the Hamiltonians and Casimir integrals, which is essential in simulating waves and solitons. Dispersive properties of the AVF integrator are investigated for the linearized equations to examine the nonlinear dynamics after discreization.en_US
dc.language.isoengen_US
dc.publisherIşık University Pressen_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 preservationen_US
dc.subjectbi-Hamiltonian systemsen_US
dc.subjectPoisson structureen_US
dc.subjectKdV equationen_US
dc.titleEnergy preserving integration of bi-Hamen_US
dc.typearticleen_US
dc.description.versionPublisher's Versionen_US
dc.relation.journalTWMS Journal Of Applied And Engineering Mathematicsen_US
dc.identifier.volume3
dc.identifier.issue1
dc.identifier.startpage75
dc.identifier.endpage86
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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