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math.NA2014
A classification of volume preserving generating forms in R^3
Olivier Verdier, Huiyan Xue, Antonella Zanna
In earlier work, Lomeli and Meiss used a generalization of the symplectic approach to study volume preserving generating differential forms. In particular, for the c…
math.NA2013
High order volume preserving integrators for three kinds of divergence-free vector fields via commutator
Huiyan Xue
In this paper, we focus on the construction of high order volume preserving in- tegrators for divergence-free vector fields: the monomial basis, the exponential basis and tensor pr…
math.NA2012
Explicit Volume-Preserving Splitting Methods for Polynomial Divergence-Free Vector Fields
Huiyan Xue, Antonella Zanna
We present new, explicit, volume-preserving vector fields for polynomial divergence-free vector fields of arbitrary degree (both positive and negative). The main idea is to decompo…