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dc.contributor.authorXue, Huiyaneng
dc.contributor.authorZanna, Antonellaeng
dc.date.accessioned2013-12-02T13:18:25Z
dc.date.available2013-12-02T13:18:25Z
dc.date.issued2014-03eng
dc.identifier.issn1078-094en_US
dc.identifier.urihttps://hdl.handle.net/1956/7562
dc.description.abstractIn this paper, we study generating forms and generating functions for volume preserving mappings in Rn. We derive some parametric classes of volume preserving numerical schemes for divergence free vector fields. In passing, by extension of the Poincar´e generating function and a change of variables, we obtained symplectic equivalent of the theta-method for differential equations, which includes the implicit midpoint rule and symplectic Euler A and B methods as special cases.en_US
dc.language.isoengeng
dc.publisherThe American Institute of Mathematical Sciencesen_US
dc.relation.ispartof<a href="http://hdl.handle.net/1956/7563" target="blank">Volume preserving numerical integrators for ordinary differential equations</a>en_US
dc.subjectGenerating functioneng
dc.subjectsymplecticeng
dc.subjectVolume preservingeng
dc.subjectdifferential formseng
dc.titleGenerating function and volume preserving mappingsen_US
dc.typePeer reviewed
dc.typeJournal article
dc.description.versionpublishedVersionen_US
dc.rights.holderCopyright The American Institute of Mathematical Sciences. All rights reserved.en_US
dc.source.journalDiscrete and Continuous Dynamical Systems - Series A (DCDS-A)
dc.source.4034
dc.source.143
dc.source.pagenumber1229-1249


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