Blar i Department of Mathematics på forfatter "Xue, Huiyan"
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Generating function and volume preserving mappings
Xue, Huiyan; Zanna, Antonella (Peer reviewed; Journal article, 2014-03)In 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, ... -
High order volume preserving integrators for three kinds of divergence-free vector fields via commutators
Xue, Huiyan (Journal article, 2013)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 ... -
Volume preserving numerical integrators for ordinary differential equations
Xue, Huiyan (Doctoral thesis; Peer reviewed, 2013-11-08)