60614 20210121082857.0 doi 10.1016/j.cpc.2014.10.012 sideral 89281 ART-2015-89281 eng (orcid)0000-0002-0122-8926 Laburta, M.P. Universidad de Zaragoza Numerical methods for non conservative perturbations of conservative problems 2015 Access copy available to the general public Unrestricted In 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. info:eu-repo/grantAgreement/ES/MICINN/MTM2010-21630-C02 info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 3.635 2015 PHYSICS, MATHEMATICAL 1 / 53 = 0.019 2015 Q1 T1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS 11 / 104 = 0.106 2015 Q1 T1 1.788 2015 Physics and Astronomy (miscellaneous) 2015 Q1 Hardware and Architecture 2015 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion (orcid)0000-0001-6120-4427 Montijano, J.I. Universidad de Zaragoza (orcid)0000-0002-4238-3228 Rández, L. Universidad de Zaragoza (orcid)0000-0002-3312-5710 Calvo, M. Universidad de Zaragoza 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 187 (2015), 72-82 Comput. phys. commun. COMPUTER PHYSICS COMMUNICATIONS 0010-4655 3293817 http://zaguan.unizar.es/record/60614/files/texto_completo.pdf Postprint 53044 http://zaguan.unizar.es/record/60614/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:60614 articulos driver 2021-01-21-08:14:03 ARTICLE