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  • An Adaptive ANOVA-Based Data-Driven Stochastic Method for Elliptic PDEs with Random Coefficient

    Zhiwen Zhang, Xin Hu, Thomas Y. Hou, Guang Lin & Mike Yan
    2014-12-08
    39540 3893 Pages:571-598
  • A Data-Driven Scale-Invariant Weighted Compact Nonlinear Scheme for Hyperbolic Conservation Laws

    Zixuan Zhang, Yidao Dong, Yuanyang Zou, Hao Zhang, Xiaogang Deng
    2024-05-06
    28295 2001 Pages:1120-1154
  • Learning PDEs from Data on Closed Surfaces with Sparse Optimization

    Zhengjie Sun, Leevan Ling, Ran Zhang
    2025-09-02
    182 58 Pages:289-314
  • Learning Invariant Representation of Multiscale Hyperelastic Constitutive Law from Sparse Experimental Data

    Rui He, Junzhi Cui, Zihao Yang, Jieqiong Zhang, Xiaofei Guan
    2023-09-04
    34022 2764 Pages:392-417
  • Thermal Response Variability of Random Polycrystalline Microstructures

    Bin Wen, Zheng Li & Nicholas Zabaras
    2011-10-01
    38937 3936 Pages:607-634
  • Data-Driven, Physics-Based Feature Extraction from Fluid Flow Fields Using Convolutional Neural Networks

    Carlos Michelén Ströfer, Jin-Long Wu, Heng Xiao & Eric Paterson
    2018-11-09
    66513 6097 Pages:625-650 Open-access
  • Weak Collocation Regression for Inferring Stochastic Dynamics with Lévy Noise

    Liya Guo, Liwei Lu, Zhijun Zeng, Pipi Hu, Yi Zhu
    2025-05-29
    194 60 Pages:1277-1304
  • Approximating Numerical Fluxes Using Fourier Neural Operators for Hyperbolic Conservation Laws

    Taeyoung Kim, Myungjoo Kang
    2025-09-02
    204 76 Pages:420-456
  • Predict Blood Pressure by Photoplethysmogram with the Fluid-Structure Interaction Modeling

    Jianhong Chen, Wenrui Hao, Pengtao Sun, Lian Zhang
    2022-03-30
    53189 3143 Pages:1114-1133
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