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Advances in Applied Mathematics and Mechanics
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  • Physics-Informed Deep Learning Method for Surrogate Modeling in Elastic Mechanics

    Dan Li, Xinming Lu, Hongjuan Wang, Guibin Liu, Xin Liu
    2025-05-12
    8360 472 Pages:1239-1258
  • DPK: Deep Neural Network Approximation of the First Piola-Kirchhoff Stress

    Tianyi Hu, Jerry Zhijian Yang, Cheng Yuan
    2023-12-21
    27072 2386 Pages:75-100
  • 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
    54001 4823 Pages:101-118
  • Cell-Average Based Neural Network Method for Hunter-Saxton Equations

    Chunjie Zhang, Changxin Qiu, Xiaofang Zhou, Xiaoming He
    2024-05-14
    26270 2408 Pages:833-859
  • 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
    168 4
  • Method to Improve Heat Extraction in Enhanced Geothermal Systems with Heterogeneous Fracture Network

    Qiang Huang, Ning Guo, Haibo Huang, Jie Yu, Gang Pei, Maobin Hu
    2024-12-02
    17916 1149 Pages:1-30
  • Fast Prediction of Immiscible Two-Phase Displacements in Heterogeneous Porous Media with Convolutional Neural Network

    Wei Feng, Haibo Huang
    2020-10-20
    52782 5344 Pages:140-162
  • Dynamics of Calcium Signal and Leukotriene C4 Release in Mast Cells Network Induced by Mechanical Stimuli and Modulated by Interstitial Fluid Flow

    Wei Yao, Hongwei Yang, Yabei Li, Guanghong Ding
    2018-05-05
    43613 4646 Pages:67-81
  • A Front-Tracking Method for Motion by Mean Curvature with Surfactant

    Ming-Chih Lai, Che-Wei Hsu, Huaxiong Huang
    2018-08-10
    39535 3888 Pages:288-300
  • 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
    25724 2688 Pages:878-904
  • 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
    5014 252 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
    12820 1152 Pages:663-680
  • Partial Topology Identification of Stochastic Multi-Weighted Complex Networks Based on Graph-Theoretic Method and Adaptive Synchronization

    Huiling Chen, Chunmei Zhang, Yuli Feng, Qin Xu
    2023-10-11
    48765 2732 Pages:1428-1455
  • 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
    49731 4506 Pages:79-100
  • A Simplified Neuronal Model for the Instigation and Propagation of Cortical Spreading Depression

    Huaxiong Huang, Robert M. Miura, Wei Yao
    2021-07-01
    40325 4096 Pages:759-773
  • High Order Deep Domain Decomposition Method for Solving High Frequency Interface Problems

    Zhipeng Chang, Ke Li, Xiufen Zou, Xueshuang Xiang
    2023-10-11
    30476 2735 Pages:1602-1630
  • Deep Domain Decomposition Methods: Helmholtz Equation

    Wuyang Li, Ziming Wang, Tao Cui, Yingxiang Xu, Xueshuang Xiang
    2022-10-24
    45802 4407 Pages:118-138
  • Nonlinear Viscoelastic Response of Thermoplastic-Elastomer Melts

    Aleksey D. Drozdov, Erik A. Jensen, Jesper deClaville Christiansen
    2010-02-01
    43653 5131 Pages:1-31
  • Contaminant Flow and Transport Simulation in Cracked Porous Media Using Locally Conservative Schemes

    Pu Song, Shuyu Sun
    2012-04-01
    42171 4619 Pages:389-421
  • Inverse Eigenvalue Problems for Exploring the Dynamics of Systems Biology Models

    James Lu
    2021-07-01
    41056 4155 Pages:711-728
  • Broad Learning System with Preprocessing to Recover the Scattering Obstacles with Far–Field Data

    Weishi Yin, Hongyu Qi, Pinchao Meng
    2023-04-11
    39747 3098 Pages:984-1000
  • Cosine Radial Basis Function Neural Networks for Solving Fractional Differential Equations

    Haidong Qu
    2018-08-04
    42361 3028 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
    15716 1385 Pages:1410-1450
1 - 23 of 23 items
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