238 citations · 423 across the 30 of their papers we have counts for
Showing math.NAShow all
2 papers · 1 filter
math.NA2023
An Efficient Spectral Trust-Region Deflation Method for Multiple Solutions
Lin Li, Lilian Wang, Huiyuan Li
It is quite common that a nonlinear partial differential equation (PDE) admits multiple distinct solutions and each solution may carry a unique physical meaning. One typical approa…
math.NA2021★ 34 cited
ReLU Deep Neural Networks from the Hierarchical Basis Perspective
Juncai He, Lin Li, Jinchao Xu
We study ReLU deep neural networks (DNNs) by investigating their connections with the hierarchical basis method in finite element methods. First, we show that the approximation sch…