565 citations · 777 across the 5 of their papers we have counts for
5 papers
Computational Graph Representation of Equations System Constructors in Hierarchical Circuit Simulation
Zichao Long, Lin Li, Lei Han +10
Equations system constructors of hierarchical circuits play a central role in device modeling, nonlinear equations solving, and circuit design automation. However, existing constru…
RODE-Net: Learning Ordinary Differential Equations with Randomness from Data
Junyu Liu, Zichao Long, Ranran Wang +2
Random ordinary differential equations (RODEs), i.e. ODEs with random parameters, are often used to model complex dynamics. Most existing methods to identify unknown governing RODE…
Learning to Discretize: Solving 1D Scalar Conservation Laws via Deep Reinforcement Learning
Yufei Wang, Ziju Shen, Zichao Long +1
Conservation laws are considered to be fundamental laws of nature. It has broad applications in many fields, including physics, chemistry, biology, geology, and engineering. Solvin…
PDE-Net 2.0: Learning PDEs from Data with A Numeric-Symbolic Hybrid Deep Network
Zichao Long, Yiping Lu, Bin Dong
Partial differential equations (PDEs) are commonly derived based on empirical observations. However, recent advances of technology enable us to collect and store massive amount of…
PDE-Net: Learning PDEs from Data
Zichao Long, Yiping Lu, Xianzhong Ma +1
In this paper, we present an initial attempt to learn evolution PDEs from data. Inspired by the latest development of neural network designs in deep learning, we propose a new feed…