4 papers
Domain Decomposition Subspace Neural Network Method for Solving Linear and Nonlinear Partial Differential Equations
Zhenxing Fu, Hongliang Liu, Zhiqiang Sheng +1
This paper proposes a domain decomposition subspace neural network method for efficiently solving linear and nonlinear partial differential equations. By combining the principles o…
Subspace method based on neural networks for eigenvalue problems
Xiaoying Dai, Yunying Fan, Zhiqiang Sheng
In this paper, we propose a subspace method based on neural networks for eigenvalue problems with high accuracy and low cost. We first construct a neural network-based orthogonal b…
Subspace method based on neural networks for solving the partial differential equation in weak form
Pengyuan Liu, Zhaodong Xu, Zhiqiang Sheng
We present a subspace method based on neural networks for solving the partial differential equation in weak form with high accuracy. The basic idea of our method is to use some fun…
Subspace method based on neural networks for solving the partial differential equation
Zhaodong Xu, Zhiqiang Sheng
We present a subspace method based on neural networks (SNN) for solving the partial differential equation with high accuracy. The basic idea of our method is to use some functions…