45 citations · 45 across the 1 of their papers we have counts for
2 papers
math.NA2021★ 45 cited
Least-Squares ReLU Neural Network (LSNN) Method For Linear Advection-Reaction Equation
Zhiqiang Cai, Jingshuang Chen, Min Liu
This paper studies least-squares ReLU neural network method for solving the linear advection-reaction problem with discontinuous solution. The method is a discretization of an equi…
cs.LG2019
Deep least-squares methods: an unsupervised learning-based numerical method for solving elliptic PDEs
Zhiqiang Cai, Jingshuang Chen, Min Liu +1
This paper studies an unsupervised deep learning-based numerical approach for solving partial differential equations (PDEs). The approach makes use of the deep neural network to ap…