Energy preserving methods for volterra lattice equation

Karasözen, Bülent; Erdem, Özge

dc.contributor.author	Karasözen, Bülent	en_US
dc.contributor.author	Erdem, Özge	en_US
dc.date.accessioned	2020-09-21T10:51:15Z
dc.date.available	2020-09-21T10:51:15Z
dc.date.issued	2011-09-11
dc.identifier.citation	Karasözen, 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.issn	2146-1147
dc.identifier.issn	2587-1013
dc.identifier.uri	https://hdl.handle.net/11729/2431
dc.identifier.uri	http://jaem.isikun.edu.tr/web/index.php/archive/86-vol1no2/161
dc.description.abstract	We 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.iso	eng	en_US
dc.publisher	Işık University Press	en_US
dc.rights	info:eu-repo/semantics/openAccess	en_US
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 United States	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/us/	*
dc.subject	Energy preserving integrators	en_US
dc.subject	Runge-Kutta methods	en_US
dc.subject	Bi-Hamiltonian systems	en_US
dc.subject	Poisson structure	en_US
dc.title	Energy preserving methods for volterra lattice equation	en_US
dc.type	article	en_US
dc.description.version	Publisher's Version	en_US
dc.relation.journal	TWMS Journal Of Applied And Engineering Mathematics	en_US
dc.identifier.volume	1
dc.identifier.issue	2
dc.identifier.startpage	192
dc.identifier.endpage	202
dc.peerreviewed	Yes	en_US
dc.publicationstatus	Published	en_US
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı	en_US