Solving Partial Differential Equations with Point Source Based on Physics-Informed Neural Networks. - Xiang Huang; Hongsheng Liu 002; Beiji Shi; Zidong Wang 010; Kang Yang; Yang Li 106; Bingya Weng; Min Wang 037; Haotian Chu; Jing Zhou; Fan Yu; Bei Hua; et al. (CoRR, 2021)

Meta-Auto-Decoder for Solving Parametric Partial Differential Equations. - Xiang Huang; Zhanhong Ye; Hongsheng Liu 002; Beiji Shi; Zidong Wang 010; Kang Yang; Yang Li 106; Bingya Weng; Min Wang 037; Haotian Chu; Jing Zhou; Fan Yu; et al. (CoRR, 2021)

A Universal PINNs Method for Solving Partial Differential Equations with a Point Source. - Xiang Huang; Hongsheng Liu 002; Beiji Shi; Zidong Wang 010; Kang Yang; Yang Li 106; Min Wang 037; Haotian Chu; Jing Zhou; Fan Yu; Bei Hua; Bin Dong 001; et al. (IJCAI, 2022)

Meta-Auto-Decoder for Solving Parametric Partial Differential Equations. - Xiang Huang; Zhanhong Ye; Hongsheng Liu 002; Beiji Shi; Zidong Wang 010; Kang Yang; Yang Li 106; Min Wang 037; Haotian Chu; Fan Yu; Bei Hua; Lei Chen 002; et al. (NeurIPS, 2022)

Meta-Auto-Decoder: A Meta-Learning Based Reduced Order Model for Solving Parametric Partial Differential Equations. - Zhanhong Ye; Xiang Huang; Hongsheng Liu 002; Bin Dong 001 (CoRR, 2023)

Analysis of the Decoder Width for Parametric Partial Differential Equations. - Zhanhong Ye; Hongsheng Liu 002; Zidong Wang 010; Bin Dong 001 (CoRR, 2023)

Learning to simulate partially known spatio-temporal dynamics with trainable difference operators. - Xiang Huang; Zhuoyuan Li 005; Hongsheng Liu 002; Zidong Wang 010; Hongye Zhou; Bin Dong 001; Bei Hua (CoRR, 2023)

P2C2Net: PDE-Preserved Coarse Correction Network for efficient prediction of spatiotemporal dynamics. - Qi Wang; Pu Ren; Hao Zhou; Xin-Yang Liu; Zhiwen Deng; Yi Zhang; Zeruizhi Cheng; Hongsheng Liu 002; Zidong Wang 010; Jian-Xun Wang 001; Ji-Rong Wen; Hao Sun 002; et al. (NeurIPS, 2024)

PDEformer: Towards a Foundation Model for One-Dimensional Partial Differential Equations. - Zhanhong Ye; Xiang Huang; Leheng Chen; Hongsheng Liu 002; Zidong Wang 010; Bin Dong 001 (CoRR, 2024)

PDEformer-1: A Foundation Model for One-Dimensional Partial Differential Equations. - Zhanhong Ye; Xiang Huang; Leheng Chen; Zining Liu; Bingyang Wu; Hongsheng Liu 002; Zidong Wang 010; Bin Dong 001 (CoRR, 2024)

PhyMPGN: Physics-encoded Message Passing Graph Network for spatiotemporal PDE systems. - Bocheng Zeng; Qi Wang; Mengtao Yan; Yang Liu 099; Ruizhi Chengze; Yi Zhang; Hongsheng Liu 002; Zidong Wang 010; Hao Sun 002 (CoRR, 2024)

P2C2Net: PDE-Preserved Coarse Correction Network for efficient prediction of spatiotemporal dynamics. - Qi Wang; Pu Ren; Hao Zhou; Xin-Yang Liu; Zhiwen Deng; Yi Zhang; Ruizhi Chengze; Hongsheng Liu 002; Zidong Wang 010; Jian-Xun Wang 001; Ji-Rong Wen; Hao Sun 002; et al. (CoRR, 2024)

Solving the Boltzmann Equation with a Neural Sparse Representation. - Zhengyi Li; Yanli Wang; Hongsheng Liu 002; Zidong Wang 010; Bin Dong 001 (SIAM J. Sci. Comput., 2024)

Conservation-informed Graph Learning for Spatiotemporal Dynamics Prediction. - Yuan Mi; Pu Ren; Hongteng Xu; Hongsheng Liu 002; Zidong Wang 010; Yike Guo; Ji-Rong Wen; Hao Sun 002; Yang Liu 005 (KDD (1), 2025)

MultiPDENet: PDE-embedded Learning with Multi-time-stepping for Accelerated Flow Simulation. - Qi Wang; Yuan Mi; Haoyun Wang; Yi Zhang; Ruizhi Chengze; Hongsheng Liu 002; Ji-Rong Wen; Hao Sun 002 (CoRR, 2025)

Learnable-Differentiable Finite Volume Solver for Accelerated Simulation of Flows. - Mengtao Yan; Qi Wang; Haining Wang; Ruizhi Chengze; Yi Zhang; Hongsheng Liu 002; Zidong Wang 010; Fan Yu; Qi Qi; Hao Sun 002 (CoRR, 2025)

PDEformer-2: A Versatile Foundation Model for Two-Dimensional Partial Differential Equations. - Zhanhong Ye; Zining Liu; Bingyang Wu; Hongjie Jiang; Leheng Chen; Minyan Zhang; Xiang Huang; Qinghe Meng; Jingyuan Zou; Hongsheng Liu 002; Bin Dong 001 (CoRR, 2025)