10 citations · 10 across the 4 of their papers we have counts for
4 papers
Kernel Localization and Whole-Trajectory Generalization for Linear Multistep Methods in Deep Learning-Based Discovery of Dynamical Systems
Yaru Liu, Yiqi Gu
Linear multistep methods (LMMs) combined with neural-network approximation provide a high-order framework for learning governing vector fields of dynamical systems from discrete tr…
A generalized matrix-valued Allen--Cahn model and its numerical solution
Yaru Liu, Chaoyu Quan, Dong Wang
This paper introduces a generalized matrix-valued Allen--Cahn model, where the unknown matrix-valued field belongs to with dimension . By…
Maximum bound principle preserving and energy decreasing exponential time differencing schemes for the matrix-valued Allen-Cahn equation
Yaru Liu, Chaoyu Quan, Dong Wang
This work delves into the exponential time differencing (ETD) schemes for the matrix-valued Allen-Cahn equation. In fact, the maximum bound principle (MBP) for the first- and secon…
Extreme multistability in symmetrically coupled clocks
Zhen Su, Jürgen Kurths, Yaru Liu +1
Extreme multistability (EM) is characterized by the emergence of infinitely many coexisting attractors or continuous families of stable states in dynamical systems. EM implies comp…