dc.contributor.author | Xue, Huiyan | eng |
dc.date.accessioned | 2013-12-02T13:06:35Z | |
dc.date.available | 2013-12-02T13:06:35Z | |
dc.date.issued | 2013 | eng |
dc.identifier.uri | https://hdl.handle.net/1956/7561 | |
dc.description.abstract | In 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. | en_US |
dc.language.iso | eng | eng |
dc.publisher | Huiyan Xue | en_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.subject | Divergence-free vector field | eng |
dc.subject | Volume preserving | eng |
dc.subject | Commutator | eng |
dc.title | High order volume preserving integrators for three kinds of divergence-free vector fields via commutators | en_US |
dc.type | Journal article | |
dc.description.version | Draft | en_US |
dc.rights.holder | Copyright the author. All rights reserved | en_US |