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Numerical Mathematics: Theory, Methods and Applications
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  • Best Rank-One Approximation of Fourth-Order Partially Symmetric Tensors by Neural Network

    Xuezhong Wang, Maolin Che & Yimin Wei
    2021-01-13
    43330 2964 Pages:673-700
  • Quasi-Monte Carlo Sampling for Solving Partial Differential Equations by Deep Neural Networks

    Jingrun Chen, Rui Du, Panchi Li, Liyao Lyu
    2021-01-26
    46270 2717 Pages:377-404
  • A Stabilized Physics Informed Neural Networks Method for Wave Equations

    Yuling Jiao, Yuhui Liu, Jerry Zhijian Yang, Cheng Yuan
    2024-12-11
    11675 1310 Pages:1100-1127
  • Sparse Deep Neural Network for Nonlinear Partial Differential Equations

    Yuesheng Xu, Taishan Zeng
    2023-01-13
    34347 3078 Pages:58-78
  • Error Analysis of the Deep Mixed Residual Method for High-Order Elliptic Equations

    Mengjia Bai, Jingrun Chen, Rui Du, Zhiwei Sun
    2025-05-16
    7274 501 Pages:395-436
  • Efficiently Training Physics-Informed Neural Networks via Anomaly-Aware Optimization

    Jiacheng Li, Min Yang, Chuanjun Chen
    2024-05-11
    27126 2200 Pages:310-330
  • Convergence Analysis of OT-Flow for Sample Generation

    Yang Jing, Lei Li
    2025-05-16
    7202 497 Pages:325-352
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