2 citations · 2 across the 2 of their papers we have counts for
2 papers
math.NA2022
Neural Networks with Local Converging Inputs (NNLCI) for Solving Conservation Laws, Part II: 2D Problems
Haoxiang Huang, Yingjie Liu, Vigor Yang
In our prior work [arXiv:2109.09316], neural network methods with inputs based on domain of dependence and a converging sequence were introduced for solving one dimensional conserv…
math.NA2021★ 2 cited
Neural Networks with Inputs Based on Domain of Dependence and A Converging Sequence for Solving Conservation Laws, Part I: 1D Riemann Problems
Haoxiang Huang, Yingjie Liu, Vigor Yang
Recent research works for solving partial differential equations (PDEs) with deep neural networks (DNNs) have demonstrated that spatiotemporal function approximators defined by aut…