Search Results

• Noise Robust Physics-Informed Generative Adversarial Networks for Solving Stochastic Differential Equations

  Lin Wang, Min Yang, Ruisong Gao, Chuanjun Chen

  2025-05-16

  DOI:10.4208/nmtma.OA-2024-0123

  7684 588 pp. 521-543

• PI-VEGAN: Physics Informed Variational Embedding Generative Adversarial Networks for Stochastic Differential Equations

  Ruisong Gao, Yufeng Wang, Min Yang, Chuanjun Chen

  2023-11-07

  DOI:10.4208/nmtma.OA-2023-0044

  27921 2450 pp. 931-953

• An Adaptive Physics-Informed Neural Network with Two-Stage Learning Strategy to Solve Partial Differential Equations

  Shuyan Shi, Ding Liu, Ruirui Ji, Yuchao Han

  2023-04-10

  DOI:10.4208/nmtma.OA-2022-0063

  40305 3188 pp. 298-322

• Efficiently Training Physics-Informed Neural Networks via Anomaly-Aware Optimization

  Jiacheng Li, Min Yang, Chuanjun Chen

  2024-05-11

  DOI:10.4208/nmtma.OA-2023-0133

  27437 2309 pp. 310-330

• Uncertainty Quantification with Physics-Informed Generative Process Distributions for the Linear Diffusion Equation

  Wei Zhang, Hui Xie, Tengchao Yu, Heng Yong

  2025-09-01

  DOI:10.4208/nmtma.OA-2025-0024

  5325 458 pp. 794-816

• Auto-Adaptive PINNs with Applications to Phase Transitions

  Kevin Buck, Woojeong Kim

  2026-04-07

  DOI:10.4208/nmtma.OA-2026-0014

  58 25

• A Stabilized Physics Informed Neural Networks Method for Wave Equations

  Yuling Jiao, Yuhui Liu, Jerry Zhijian Yang, Cheng Yuan

  2024-12-11

  DOI:10.4208/nmtma.OA-2024-0044

  11931 1439 pp. 1100-1127

• MC-Nonlocal-PINNs: Handling Nonlocal Operators in PINNs via Monte Carlo Sampling

  Xiaodong Feng, Yue Qian, Wanfang Shen

  2023-08-29

  DOI:10.4208/nmtma.OA-2022-0201

  28455 2484 pp. 769-791

• A Physics-Informed Structure-Preserving Numerical Scheme for the Phase-Field Hydrodynamic Model of Ternary Fluid Flows

  Qi Hong, Yuezheng Gong, Jia Zhao

  2023-08-29

  DOI:10.4208/nmtma.OA-2023-0007

  35655 3018 pp. 565-596