Publication:
Word series for dynamical systems and their numerical integrators

dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.contributor.authorMurua, A.
dc.contributor.authorSanz Serna, Jesús María
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.date.accessioned2021-04-30T09:29:08Z
dc.date.available2021-04-30T09:29:08Z
dc.date.issued2017-06
dc.description.abstractWe study word series and extended word series, classes of formal series for the analysis of some dynamical systems and their discretizations. These series are similar to but more compact than B-series. They may be composed among themselves by means of a simple rule. While word series have appeared before in the literature, extended word series are introduced in this paper. We exemplify the use of extended word series by studying the reduction to normal form and averaging of some perturbed integrable problems. We also provide a detailed analysis of the behavior of splitting numerical methods for those problems.en
dc.description.sponsorshipA. Murua and J.M. Sanz-Serna have been supported by Projects MTM2013-46553-C3-2-P and MTM2013-46553-C3-1-P from Ministerio de Economía y Comercio, Spain. Additionally A. Murua has been partially supported by the Basque Government (Consolidated Research Group IT649-13).en
dc.format.extent38
dc.identifier.bibliographicCitationMurua, A. & Sanz-Serna, J. M. (2015). Word Series for Dynamical Systems and Their Numerical Integrators. Foundations of Computational Mathematics, 17(3), 675–712.en
dc.identifier.doihttps://doi.org/10.1007/s10208-015-9295-3
dc.identifier.issn1615-3375
dc.identifier.publicationfirstpage675
dc.identifier.publicationissue3
dc.identifier.publicationlastpage712
dc.identifier.publicationtitleFoundations of Computational Mathematicsen
dc.identifier.publicationvolume17
dc.identifier.urihttps://hdl.handle.net/10016/32514
dc.identifier.uxxiAR/0000020072
dc.language.isoeng
dc.publisherSpringer Natureen
dc.relation.projectIDGobierno de España. MTM2013-46553-C3-2-Pes
dc.relation.projectIDGobierno de España. MTM2013-46553-C3-1-Pes
dc.rights© 2015, SFoCM.
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticases
dc.subject.otherWord seriesen
dc.subject.otherHopf algebrasen
dc.subject.otherHamiltonian problemsen
dc.subject.otherNormal formsen
dc.subject.otherAveragingen
dc.subject.otherSplitting algorithmsen
dc.subject.otherOscillatory differential-equationsen
dc.subject.otherFormal seriesen
dc.subject.otherB-seriesen
dc.subject.otherTreesen
dc.titleWord series for dynamical systems and their numerical integratorsen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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