2 citations · 2 across the 3 of their papers we have counts for
3 papers
cs.LG2024★ 2 cited
Learning solution operators of PDEs defined on varying domains via MIONet
Shanshan Xiao, Pengzhan Jin, Yifa Tang
In this work, we propose a method to learn the solution operators of PDEs defined on varying domains via MIONet, and theoretically justify this method. We first extend the approxim…
math.NA2024
A hybrid iterative method based on MIONet for PDEs: Theory and numerical examples
Jun Hu, Pengzhan Jin
We propose a hybrid iterative method based on MIONet for PDEs, which combines the traditional numerical iterative solver and the recent powerful machine learning method of neural o…
cs.LG2023
Experimental observation on a low-rank tensor model for eigenvalue problems
Jun Hu, Pengzhan Jin
Here we utilize a low-rank tensor model (LTM) as a function approximator, combined with the gradient descent method, to solve eigenvalue problems including the Laplacian operator a…