4 papers
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…
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…
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…
Central values of L-functions over CM fields
Hui Xue
In the paper we prove an explicit formula for the central values of certain Rankin L-functions. These L-functions are L-functions of Hilbert newforms over a totally real field F, t…