000060614 001__ 60614
000060614 005__ 20210121082857.0
000060614 0247_ $$2doi$$a10.1016/j.cpc.2014.10.012
000060614 0248_ $$2sideral$$a89281
000060614 037__ $$aART-2015-89281
000060614 041__ $$aeng
000060614 100__ $$0(orcid)0000-0002-0122-8926$$aLaburta, M.P.$$uUniversidad de Zaragoza
000060614 245__ $$aNumerical methods for non conservative perturbations of conservative problems
000060614 260__ $$c2015
000060614 5060_ $$aAccess copy available to the general public$$fUnrestricted
000060614 5203_ $$aIn this paper the numerical integration of non conservative perturbations of differential systems that possess a first integral, as for example slowly dissipative Hamiltonian systems, is considered. Numerical methods that are able to reproduce appropriately the evolution of the first integral are proposed. These algorithms are based on a combination of standard numerical integration methods and certain projection techniques. Some conditions under which known conservative methods reproduce that desirable evolution in the invariant are analysed. Finally, some numerical experiments in which we compare the behaviour of the new proposed methods, the averaged vector field method AVF proposed by Quispel and McLaren and standard RK methods of orders 3 and 5 are presented. The results confirm the theory and show a good qualitative and quantitative performance of the new projection methods.
000060614 536__ $$9info:eu-repo/grantAgreement/ES/MICINN/MTM2010-21630-C02
000060614 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000060614 590__ $$a3.635$$b2015
000060614 591__ $$aPHYSICS, MATHEMATICAL$$b1 / 53 = 0.019$$c2015$$dQ1$$eT1
000060614 591__ $$aCOMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS$$b11 / 104 = 0.106$$c2015$$dQ1$$eT1
000060614 592__ $$a1.788$$b2015
000060614 593__ $$aPhysics and Astronomy (miscellaneous)$$c2015$$dQ1
000060614 593__ $$aHardware and Architecture$$c2015$$dQ1
000060614 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000060614 700__ $$0(orcid)0000-0001-6120-4427$$aMontijano, J.I.$$uUniversidad de Zaragoza
000060614 700__ $$0(orcid)0000-0002-4238-3228$$aRández, L.$$uUniversidad de Zaragoza
000060614 700__ $$0(orcid)0000-0002-3312-5710$$aCalvo, M.$$uUniversidad de Zaragoza
000060614 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000060614 773__ $$g187 (2015), 72-82$$pComput. phys. commun.$$tCOMPUTER PHYSICS COMMUNICATIONS$$x0010-4655
000060614 8564_ $$s3293817$$uhttps://zaguan.unizar.es/record/60614/files/texto_completo.pdf$$yPostprint
000060614 8564_ $$s53044$$uhttps://zaguan.unizar.es/record/60614/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000060614 909CO $$ooai:zaguan.unizar.es:60614$$particulos$$pdriver
000060614 951__ $$a2021-01-21-08:14:03
000060614 980__ $$aARTICLE