Search Results

• pETNNs: Partial Evolutionary Tensor Neural Networks for Solving Time-Dependent Partial Differential Equations

  Tunan Kao, He Zhang, Lei Zhang, Jin Zhao

  2025-09-30

  19532 549 Pages:862-891

• BINet: Learn to Solve Partial Differential Equations with Boundary Integral Networks

  Guochang Lin, Pipi Hu, Fukai Chen, Xiang Chen, Junqing Chen, Jun Wang, Zuoqiang Shi

  2023-02-14

  35445 3291 Pages:275-305

• A Label-Free Hybrid Iterative Numerical Transferable Solver for Partial Differential Equations

  Xinyi Wang, Jingrun Chen, Rui Du

  2024-11-29

  14657 1259 Pages:712-734

• Implicit Bias in Understanding Deep Learning for Solving PDEs Beyond Ritz-Galerkin Method

  Jihong Wang, Zhi-Qin John Xu, Jiwei Zhang, Yaoyu Zhang

  2022-05-30

  38447 3288 Pages:299-317

• Enforcing Exact Boundary and Initial Conditions in the Deep Mixed Residual Method

  Liyao Lyu, Keke Wu, Rui Du, Jingrun Chen

  2021-11-29

  40876 3472 Pages:748-775

• Deep Ritz Methods for Laplace Equations with Dirichlet Boundary Condition

  Chenguang Duan, Yuling Jiao, Yanming Lai, Xiliang Lu, Qimeng Quan, Jerry Zhijian Yang

  2022-11-07

  295290 3160 Pages:761-791

• Optimal Strong Convergence Rate of Spectral Galerkin Exponential Euler Scheme for Parabolic SPDEs

  Jialin Hong, Chuying Huang, Zhihui Liu

  2026-04-02

  42 42

• Solving Time-Dependent Parametric PDEs by Multiclass Classification-Based Reduced Order Model

  Chen Cui, Kai Jiang, Shi Shu

  2023-01-09

  34254 3790 Pages:13-40

• Spatiotemporal Dynamics in a Generalized Diffusive Population System of Natural Pinus Koraiensis with Time Delay

  Haicheng Liu, Bin Ge, Jihong Shen

  2022-05-30

  38121 3196 Pages:273-298

• Asymptotic Expansion Regularization for Inverse Source Problems in Two-Dimensional Singularly Perturbed Nonlinear Parabolic PDEs

  Dmitrii Chaikovskii, Aleksei Liubavin, Ye Zhang

  2023-10-26

  27463 2521 Pages:721-757

• Solving the Inverse Potential Problem in the Parabolic Equation by the Deep Neural Networks Method

  Mengmeng Zhang, Zhidong Zhang

  2024-11-29

  13219 1284 Pages:852-883

• Computational Imaging of Small-Amplitude Biperiodic Surfaces with Negative Index Material

  Yuliang Wang

  2025-02-11

  11347 1165 Pages:148-175

• A Deep Learning Approach for Solving the Inverse Problem of the Wave Equation

  Xiong-Bin Yan, Keke Wu, Zhi-Qin John Xu, Zheng Ma

  2026-01-25

  1090 196 Pages:29-61

• Optimality Conditions for Constrained Minimax Optimization

  Yu-Hong Dai, Liwei Zhang

  2020-07-01

  45166 4313 Pages:296-315

• Thermodynamics of Freshwater Production via CuS-Infused Porous Membrane Solar Absorber in Seawater Desalination

  A. E. Makinde, O. D. Makinde, M. Maaza, T. Mokrani

  2026-03-01

  786 133 Pages:383-405