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• 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

• 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

• Improving the Expressive Power of Deep Neural Networks Through Integral Activation Transform

  Zezhong Zhang, Feng Bao, Guannan Zhang

  2024-10-08

  12877 1085 Pages:739-763

• 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

• How Can Deep Neural Networks Fail Even with Global Optima?

  Qingguang Guan

  2024-10-08

  13026 1009 Pages:674-696

• 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

• Comparative Studies on Mesh-Free Deep Neural Network Approach Versus Finite Element Method for Solving Coupled Nonlinear Hyperbolic/Wave Equations

  Xingwen Zhu, Mingyan He, Pengtao Sun

  2022-08-22

  297311 2817 Pages:603-629

• 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

• An Asymptotic Expansion-Based Deep Neural Network for Solving Singularly Perturbed Problems with Exponential Boundary Layers

  Shuiqian Xu, Jiangxing Wang, Yiduo Zhang, Xiaofeng Yang

  2025-12-28

  961 112 Pages:163-183

• 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