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math.NA2022★ 5 cited
DOSnet as a Non-Black-Box PDE Solver: When Deep Learning Meets Operator Splitting
Yuan Lan, Zhen Li, Jie Sun +1
Deep neural networks (DNNs) recently emerged as a promising tool for analyzing and solving complex differential equations arising in science and engineering applications. Alternati…
math.NA2015★ 4 cited
A convergent point integral method for isotropic elliptic equations on point cloud
Zhen Li, Zuoqiang Shi
In this paper, we propose a numerical method to solve isotropic elliptic equations on point cloud by generalizing the point integral method. The idea of the point integral method i…