1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.NA2025
Neural Network Element Method for Partial Differential Equations
Yifan Wang, Zhongshuo Lin, Hehu Xie
In this paper, based on the combination of finite element mesh and neural network, a novel type of neural network element space and corresponding machine learning method are design…
cs.LG2025
Solving Time-Fractional Partial Integro-Differential Equations Using Tensor Neural Network
Zhongshuo Lin, Qingkui Ma, Hehu Xie +1
In this paper, we propose a novel machine learning method based on adaptive tensor neural network subspace to solve linear time-fractional diffusion-wave equations and nonlinear ti…
math.NA2024★ 1 cited
Adaptive Neural Network Subspace Method for Solving Partial Differential Equations with High Accuracy
Zhongshuo Lin, Yifan Wang, Hehu Xie
Based on neural network and adaptive subspace approximation method, we propose a new machine learning method for solving partial differential equations. The neural network is adopt…