Search Results

• A Stabilized Physics Informed Neural Networks Method for Wave Equations

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

  2024-12-11

  11927 1432 Pages:1100-1127

• Error Analysis for Empirical Risk Minimization over Clipped ReLU Networks in Solving Linear Kolmogorov Partial Differential Equations

  Jichang Xiao, Xiaoqun Wang

  2024-12-11

  12052 1376 Pages:996-1017

• Quasi-Monte Carlo Sampling for Solving Partial Differential Equations by Deep Neural Networks

  Jingrun Chen, Rui Du, Panchi Li, Liyao Lyu

  2021-01-26

  46499 2782 Pages:377-404

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

  Jiacheng Li, Min Yang, Chuanjun Chen

  2024-05-11

  27427 2303 Pages:310-330

• Best Rank-One Approximation of Fourth-Order Partially Symmetric Tensors by Neural Network

  Xuezhong Wang, Maolin Che, Yimin Wei

  2021-01-13

  43531 3021 Pages:673-700

• 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

  40298 3186 Pages:298-322

• Solving the Helmholtz Equation by Sparse Fundamental Solution Neural Network

  Zhiwen Wang, Minxin Chen, Jingrun Chen

  2025-10-22

  5937 506 Pages:845-880

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

  Ruisong Gao, Yufeng Wang, Min Yang, Chuanjun Chen

  2023-11-07

  27919 2448 Pages:931-953

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

  Lin Wang, Min Yang, Ruisong Gao, Chuanjun Chen

  2025-05-16

  7680 581 Pages:521-543

• Auto-Adaptive PINNs with Applications to Phase Transitions

  Kevin Buck, Woojeong Kim

  2026-04-07

  50 22

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

  Xiaodong Feng, Yue Qian, Wanfang Shen

  2023-08-29

  28448 2481 Pages:769-791

• A Local Deep Learning Method for Solving High Order Partial Differential Equations

  Jiang Yang, Quanhui Zhu

  2022-02-09

  47233 4619 Pages:42-67

• Sparse Deep Neural Network for Nonlinear Partial Differential Equations

  Yuesheng Xu, Taishan Zeng

  2023-01-13

  34541 3191 Pages:58-78

• On the Recovery of Source Term for Fractional Evolution PDEs by MC-fPINNs

  Rui Sheng, Jerry Zhijian Yang, Cheng Yuan

  2025-05-16

  7641 574 Pages:487-520