most citedPhysics-Informed Kernel Function Neural Networks for Solving Partial Differential Equations

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

collaborators

3 papers

cs.CE2026

An improved PINN framework integrating localized collocation scheme and PIKF

Qiang Xi, Wenzhi Xu, Mario Cvetkovic +3

We propose a localized physics-informed kernel function neural network (LPIKFNN), which is an improved physics-informed neural network (PINN) based on physics-informed kernel funct…

math.NA2023

FEM-PIKFNNs for underwater acoustic propagation induced by structural vibrations in different ocean environments

Qiang Xi, Zhuojia Fu, Wenzhi Xu +2

In this paper, a novel hybrid method based on the finite element method (FEM) and physics-informed kernel function neural networks (PIKFNNs) is proposed and applied to the predicti…

math.NA2023★ 2 cited

Physics-Informed Kernel Function Neural Networks for Solving Partial Differential Equations

Zhuojia Fu, Wenzhi Xu, Shuainan Liu

This paper proposed a novel radial basis function neural network (RBFNN) to solve various partial differential equations (PDEs). In the proposed RBF neural networks, the physics-in…