24 citations · 65 across the 15 of their papers we have counts for
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math.DS2022
Within-Cluster Variability Exponent for Identifying Coherent Structures in Dynamical Systems
Wai Ming Chau, Shingyu Leung
We propose a clustering-based approach for identifying coherent flow structures in continuous dynamical systems. We first treat a particle trajectory over a finite time interval as…
math.NA2022
Spherical Essentially Non-Oscillatory (SENO) Interpolation
Ki Wai Fong, Shingyu Leung
We develop two new ideas for interpolation on . In this first part, we will introduce a simple interpolation method named \textit{Spherical Interpolation of orDER} $n…
math.NA2022★ 1 cited
An Efficient Operator-Splitting Method for the Eigenvalue Problem of the Monge-Ampère Equation
Hao Liu, Shingyu Leung, Jianliang Qian
We develop an efficient operator-splitting method for the eigenvalue problem of the Monge-Ampère operator in the Aleksandrov sense. The backbone of our method relies on a convergen…