Enforcing Continuous Physical Symmetries in Deep Learning Network for Solving Partial Differential Equations. - Zhi-Yong Zhang; Hui Zhang; Li-Sheng Zhang; Lei-Lei Guo (CoRR, 2022)

Enforcing continuous symmetries in physics-informed neural network for solving forward and inverse problems of partial differential equations. - Zhi-Yong Zhang; Hui Zhang; Li-Sheng Zhang; Lei-Lei Guo (J. Comput. Phys., 2023)

Symmetry group based domain decomposition to enhance physics-informed neural networks for solving partial differential equations. - Ye Liu; Jie-Ying Li; Li-Sheng Zhang; Lei-Lei Guo; Zhi-Yong Zhang (CoRR, 2024)

Invariant deep neural networks under the finite group for solving partial differential equations. - Zhi-Yong Zhang; Jie-Ying Li; Lei-Lei Guo (J. Comput. Phys., 2025)