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

  Tunan Kao, He Zhang, Lei Zhang, Jin Zhao

  2025-09-30

  9275 140 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

  35186 3166 Pages:275-305

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

  Xinyi Wang, Jingrun Chen, Rui Du

  2024-11-29

  14393 1150 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

  38201 3221 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

  40648 3379 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

  295101 3011 Pages:761-791

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

  Chen Cui, Kai Jiang, Shi Shu

  2023-01-09

  34060 3662 Pages:13-40

• Optimality Conditions for Constrained Minimax Optimization

  Yu-Hong Dai, Liwei Zhang

  2020-07-01

  44930 4220 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

  2025-12-08

  0 0

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

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

  2025-06-18

  261 26 Open-access

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

  Yuliang Wang

  2025-02-11

  10951 980 Pages:148-175

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

  Mengmeng Zhang, Zhidong Zhang

  2024-11-29

  12978 1199 Pages:852-883

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

  Dmitrii Chaikovskii, Aleksei Liubavin, Ye Zhang

  2023-10-26

  27069 2446 Pages:721-757

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

  Haicheng Liu, Bin Ge, Jihong Shen

  2022-05-30

  37920 3141 Pages:273-298