3 citations · 6 across the 3 of their papers we have counts for
5 papers
Enforcing continuous symmetries in physics-informed neural network for solving forward and inverse problems of partial differential equations
Zhi-Yong Zhang, Hui Zhang, Li-Sheng Zhang +1
As a typical application of deep learning, physics-informed neural network (PINN) {has been} successfully used to find numerical solutions of partial differential equations (PDEs),…
Back-n White Neutron Source at CSNS and its Applications
n Collaboration, Jing-Yu Tang, Qi An +73
Back-streaming neutrons from the spallation target of the China Spallation Neutron Source (CSNS) that emit through the incoming proton channel were exploited to build a white neutr…
Symmetry structure of multi-dimensional time-fractional partial differential equations
Zhi-Yong Zhang, Jia Zheng
In this paper, we concentrate on the Lie symmetry structure of a system of multi-dimensional time-fractional partial differential equations (PDEs). Specifically, we first give an e…
An upper order bound of the invariant manifold in Lax pairs of a nonlinear evolution partial differential equation
Zhi-Yong Zhang
In \cite{hab-2016,hab-2017}, Habibullin \emph{et.al} proposed an approach to construct Lax pairs of a nonlinear integrable partial differential equation (PDE), where one is the lin…
New bounds and efficient algorithm for sparse difference resultant
Chun-Ming Yuan, Zhi-Yong Zhang
The sparse difference resultant introduced in \citep{gao-2015} is a basic concept in difference elimination theory. In this paper, we show that the sparse difference resultant of a…