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• Cell-Average Based Neural Network Method for Hunter-Saxton Equations

  Chunjie Zhang, Changxin Qiu, Xiaofang Zhou, Xiaoming He

  2024-05-14

  26439 2450 Pages:833-859

• Legendre Neural Network for Solving Linear Variable Coefficients Delay Differential-Algebraic Equations with Weak Discontinuities

  Hongliang Liu, Jingwen Song, Huini Liu, Jie Xu, Lijuan Li

  2020-10-20

  54140 4926 Pages:101-118

• Error Analyses of the Single Hidden Layer Neural Network Based on the Extreme Learning Machine for Solving Differential Equations

  Baixue Xing, Hongliang Liu, Haodong Li, Zhenxing Fu

  2025-11-22

  642 9

• Compressive Strength Prediction of High-Performance Hydraulic Concrete Using a Novel Neural Network Based on the Memristor

  Jun Lu, Lin Qiu, Yingjie Liang, Ji Lin

  2024-05-14

  25853 2724 Pages:878-904

• Fast Prediction of Immiscible Two-Phase Displacements in Heterogeneous Porous Media with Convolutional Neural Network

  Wei Feng, Haibo Huang

  2020-10-20

  52933 5416 Pages:140-162

• Physics-Informed Deep Learning Method for Surrogate Modeling in Elastic Mechanics

  Dan Li, Xinming Lu, Hongjuan Wang, Guibin Liu, Xin Liu

  2025-05-12

  8636 533 Pages:1239-1258

• DPK: Deep Neural Network Approximation of the First Piola-Kirchhoff Stress

  Tianyi Hu, Jerry Zhijian Yang, Cheng Yuan

  2023-12-21

  27280 2446 Pages:75-100

• ALM-PINN: An Adaptive Physical Informed Neural Network Optimized by Levenberg-Marquardt for Efficient Solution of Singular Perturbation Problems

  Yinghao Chen, Muzhou Hou, Jingying Hu, Yang Xiao, Jinyong Ying, Ting Zhang

  2025-09-29

  7054 337 Pages:1841-1866

• Deep Neural Network for Oscillation Dynamics of Capillary Rise

  Fang Shan, Hao Yu, Zhenhua Chai, Yanfang Xu, Baochang Shi

  2024-12-31

  12991 1203 Pages:663-680

• Characterising Mechanical Properties of Flowing Microcapsules Using a Deep Convolutional Neural Network

  T. Lin, Z. Wang, R. X. Lu, W. Wang, Y. Sui

  2021-11-18

  49923 4577 Pages:79-100

• High Order Deep Domain Decomposition Method for Solving High Frequency Interface Problems

  Zhipeng Chang, Ke Li, Xiufen Zou, Xueshuang Xiang

  2023-10-11

  30655 2779 Pages:1602-1630

• Cosine Radial Basis Function Neural Networks for Solving Fractional Differential Equations

  Haidong Qu

  2018-08-04

  42477 3049 Pages:667-679

• A Surrogate Reduced Order Model of the Unsteady Advection Dominant Problems Based on Combination of Deep Autoencoders-LSTM and POD

  Mahdi Kherad, Mohammad Kazem Moayyedi, Faranak Fotouhi

  2024-11-01

  15902 1428 Pages:1410-1450

• Deep Domain Decomposition Methods: Helmholtz Equation

  Wuyang Li, Ziming Wang, Tao Cui, Yingxiang Xu, Xueshuang Xiang

  2022-10-24

  46029 4555 Pages:118-138