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dc.contributor.authorXue, Huiyaneng
dc.date.accessioned2013-12-02T13:06:35Z
dc.date.available2013-12-02T13:06:35Z
dc.date.issued2013eng
dc.identifier.urihttp://hdl.handle.net/1956/7561
dc.description.abstractIn this paper, we focus on construction of high order volume preserving integrators for divergence-free vector fields of the monomial basis, exponential basis and tensor product of the monomial and exponential basis. We first prove that the commutators of elementary divergence-free vector fields (EDFVF) of these three kinds are still divergence-free vector fields of the same kind. For EDFVFs of these three kinds, we construct high order volume preserving integrators using the multi-commutators. Moreover, we consider ordering of EDFVFs and their commutators to reduce the error of the schemes, showing by numerical tests that the strategies in [8] work well.eng
dc.language.isoengeng
dc.publisherHuiyan Xueeng
dc.relation.ispartof<a href="http://hdl.handle.net/1956/7563" target="blank">Volume preserving numerical integrators for ordinary differential equations</a>eng
dc.subjectDivergence-free vector fieldeng
dc.subjectVolume preservingeng
dc.subjectCommutatoreng
dc.titleHigh order volume preserving integrators for three kinds of divergence-free vector fields via commutatorseng
dc.typeJournal articleeng
dc.rights.holderCopyright the author. All rights reserved
dc.type.versionDrafteng
bora.peerreviewedNot peer reviewedeng
dcterms.isPartOfhttp://hdl.handle.net/1956/7563


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