Shihong Zhang

most citedMRF-PINN: A Multi-Receptive-Field convolutional physics-informed neural network for solving partial differential equations

2 citations · 3 across the 2 of their papers we have counts for

collaborators

2 papers

cs.LG2022★ 2 cited

MRF-PINN: A Multi-Receptive-Field convolutional physics-informed neural network for solving partial differential equations

Shihong Zhang, Chi Zhang, Bosen Wang

Compared with conventional numerical approaches to solving partial differential equations (PDEs), physics-informed neural networks (PINN) have manifested the capability to save dev…

math.AP2021★ 1 cited

A Liouville type theorem of the linearly perturbed Paneitz equation on $S^{3}$

Shihong Zhang

We prove a Liouville type theorem for the linearly perturbed Paneitz equation: For $ε > 0$ small enough, if $u_{ε}$ is a positive smooth solution of $$P_{S^3} u_ε+εu_ε=-u_ε^{-7} \qquad…

MRF-PINN: A Multi-Receptive-Field convolutional physics-informed neural network for solving partial differential equations

A Liouville type theorem of the linearly perturbed Paneitz equation on S3

A Liouville type theorem of the linearly perturbed Paneitz equation on $S^{3}$