3 citations · 8 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
Tensor Neural Network Interpolation and Its Applications
Yongxin Li, Zhongshuo Lin, Yifan Wang +1
Based on tensor neural network, we propose an interpolation method for high dimensional non-tensor-product-type functions. This interpolation scheme is designed by using the tensor…
Tensor Neural Network Based Machine Learning Method for Elliptic Multiscale Problems
Zhongshuo Lin, Haochen Liu, Hehu Xie
In this paper, we introduce a type of tensor neural network based machine learning method to solve elliptic multiscale problems. Based on the special structure, we can do the direc…
Solving High Dimensional Partial Differential Equations Using Tensor Neural Network and A Posteriori Error Estimators
Yifan Wang, Zhongshuo Lin, Yangfei Liao +2
In this paper, based on the combination of tensor neural network and a posteriori error estimator, a novel type of machine learning method is proposed to solve high-dimensional bou…
Solving Schrödinger Equation Using Tensor Neural Network
Yangfei Liao, Zhongshuo Lin, Jianghao Liu +5
In this paper, we introduce a novel approach to solve the many-body Schrodinger equation by the tensor neural network. Based on the tensor product structure, we can do the direct n…