15 citations · 18 across the 7 of their papers we have counts for
4 papers · 1 filter
A deformation-based framework for learning solution mappings of PDEs defined on varying domains
Shanshan Xiao, Pengzhan Jin, Yifa Tang
In this work, we establish a deformation-based framework for learning solution mappings of PDEs defined on varying domains. The union of functions defined on varying domains can be…
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…
Canonical Hamiltonian Guiding Center Dynamics and Its Intrinsic Magnetic Moment
Ruili Zhang, Jian Liu, Tong Liu +3
The concept of guiding center is potent in astrophysics, space plasmas, fusion researches, and arc plasmas to solve the multi-scale dynamics of magnetized plasmas. In this letter,…
Generalized Lagrangian Neural Networks
Shanshan Xiao, Jiawei Zhang, Yifa Tang
Incorporating neural networks for the solution of Ordinary Differential Equations (ODEs) represents a pivotal research direction within computational mathematics. Within neural net…