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• A Deep Learning Galerkin Method for the Second-Order Linear Elliptic Equations

  ​Jian Li, Wen Zhang, Jing Yue

  2021-05-25

  42788 2661 Pages:427-441

• A Novel Deep Neural Network Algorithm for the Helmholtz Scattering Problem in the Unbounded Domain

  Andy L Yang

  2023-09-19

  24772 2146 Pages:724-738

• Deep Surrogate Model for Learning Green’s Function Associated with Linear Reaction-Diffusion Operator

  Junqing Jia, Lili Ju, Xiaoping Zhang

  2024-10-08

  12989 1067 Pages:697-715

• Deep Neural Network for Solving Differential Equations Motivated by Legendre-Galerkin Approximation

  Bryce Chudomelka, Youngjoon Hong, John Morgan, Hyunwoo Kim, Jinyoung Park

  2024-10-08

  12936 1031 Pages:652-673

• A Mesh-Less, Ray-Based Deep Neural Network Method for the Helmholtz Equation with High Frequency

  Andy L Yang, Feng Gu

  2022-06-22

  37744 2671 Pages:587-601

• Total Variation Based Pure Quaternion Dictionary Learning Method for Color Image Denoising

  Tingting Wu, Chaoyan Huang, Zhengmeng Jin, Zhigang Jia, Michael K. Ng

  2022-08-22

  296928 2847 Pages:709-737

• Provably Convergent Plug-and-Play Proximal Block Coordinate Descent Method for Hyperspectral Anomaly Detection

  Xiaoxia Liu, Shijie Yu

  2025-10-21

  5466 310 Pages:63-82

• From Obstacle Problems to Neural Insights: Feedforward Neural Network Modeling of Ice Thickness

  Kapil Chawla, William Holmes, Roger Temam

  2024-11-22

  13553 1315 Pages:1-20

• Automated Detection and Characterization of Singularities in Functions Using Neural Networks-From FFT Signals

  Zheng Chen, Seulip Lee, Lin Mu

  2024-10-08

  13372 1043 Pages:629-651