2 papers
math.NA2025
Data-integrated neural networks for solving partial differential equations
Jiachun Zheng, Yunqing Huang, Nianyu Yi +1
In this work, we propose data-integrated neural networks (DataInNet) for solving partial differential equations (PDEs), offering a novel approach to leveraging data (e.g., source t…
math.NA2025
IG-PINNs: Interface-gated physics-informed neural networks for solving elliptic interface problems
Jiachun Zheng, Yunqing Huang, Nianyu Yi
In this work, we develop interface-gated physics-informed neural networks (IG-PINNs) to solve elliptic interface equations. In IG-PINNs, we use a fully connected neural network to…