61 citations · 115 across the 9 of their papers we have counts for
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math.NA2020
FBSDE based Neural Network Algorithms for High-Dimensional Quasilinear Parabolic PDEs
Wenzhong Zhang, Wei Cai
In this paper, we propose forward and backward stochastic differential equations (FBSDEs) based deep neural network (DNN) learning algorithms for the solution of high dimensional q…
math.NA2020★ 61 cited
Multi-scale Deep Neural Network (MscaleDNN) Methods for Oscillatory Stokes Flows in Complex Domains
Bo Wang, Wenzhong Zhang, Wei Cai
In this paper, we study a multi-scale deep neural network (MscaleDNN) as a meshless numerical method for computing oscillatory Stokes flows in complex domains. The MscaleDNN employ…
physics.comp-ph2020
Multi-scale Deep Neural Network (MscaleDNN) for Solving Poisson-Boltzmann Equation in Complex Domains
Ziqi Liu, Wei Cai, Zhi-Qin John Xu
In this paper, we propose multi-scale deep neural networks (MscaleDNNs) using the idea of radial scaling in frequency domain and activation functions with compact support. The radi…