Articles

• Score-fPINN: Fractional Score-Based Physics-Informed Neural Networks for High-Dimensional Fokker-Planck-Lévy Equations

  Zheyuan Hu, Zhongqiang Zhang, George Em Karniadakis, Kenji Kawaguchi

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  0 0 Pages:1-26

• A Complete Error Analysis of PINNs for Elliptic Equations Using Projected Stochastic Gradient Descent

  Yuling Jiao, Ruoxuan Li, Defeng Sun, Peiying Wu, Jerry Zhijian Yang

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  0 0 Pages:27-60

• Structured First-Layer Initialization Pre-Training Techniques to Accelerate Training Process Based on $\varepsilon$-Rank

  Tao Tang, Jiang Yang, Yuxiang Zhao, Quanhui Zhu

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  261 6 Pages:61-87

• A Novel High-Resolution TENO Scheme with Adaptive Artificial Anti-Diffusion

  Velmani Murugesan, Manoj T. Nair

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  272 10 Pages:88-128

• Full-Waveform Inversion with Unbalanced Optimal Transport Metric for Seismic Imaging

  Liangrong Wang, Xingpeng Dong, Dinghui Yang

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  0 0 Pages:129-152

• A Diffusion Model Based Iterative Convolution Thresholding Method for Structural Topological Optimization

  Xiaonan Peng, Luyu Cen, Xiaoping Wang

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  0 0 Pages:153-175

• Network Embedding Using Sparse Approximations of Random Walks

  Paula Mercurio, Di Liu

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  0 0 Pages:176-198

• An Exponential-Free Runge–Kutta Framework for Developing Third-Order Unconditionally Energy Stable Schemes for the Cahn–Hilliard Equation

  Haifeng Wang, Jingwei Sun, Hong Zhang, Xu Qian, Songhe Song

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  0 0 Pages:199-238

• A Locking-Free Weak Galerkin Finite Element Method for Linear Elasticity Problems Based on a Reconstruction Operator

  Fuchang Huo, Ruishu Wang, Yanqiu Wang, Ran Zhang

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  0 0 Pages:239-262

• A Weak Galerkin Finite Element Method Coupled with Mortar Spectral Element Method for Schrödinger Eigenvalue Problem with an Inverse Square Potential

  Shusheng Li, Lueling Jia, Qilong Zhai, Zhimin Zhang

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  0 0 Pages:263-296