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• Solving the Inverse Potential Problem in the Parabolic Equation by the Deep Neural Networks Method

  Mengmeng Zhang, Zhidong Zhang

  2024-11-29

  13215 1274 Pages:852-883

• Failure-Informed Adaptive Sampling for PINNs, Part III: Applications to Inverse Problems

  Wenbin Liu, Liang Yan, Tao Zhou, Yuancheng Zhou

  2024-08-02

  23315 1743 Pages:636-670

• Model Meets Deep Learning in Image Inverse Problems

  Na Wang, Jian Sun

  2020-09-25

  44341 4161 Pages:365-386

• Asymptotic Expansion Regularization for Inverse Source Problems in Two-Dimensional Singularly Perturbed Nonlinear Parabolic PDEs

  Dmitrii Chaikovskii, Aleksei Liubavin, Ye Zhang

  2023-10-26

  27459 2516 Pages:721-757

• Computation of Transmission Eigenvalues by the Regularized Schur Complement for the Boundary Integral Operators

  Yunyun Ma, Fuming Ma, Yukun Guo, Jingzhi Li

  2023-02-14

  33215 3182 Pages:306-324

• Determination of Source Terms in Diffusion and Wave Equations by Observations After Incidents: Uniqueness and Stability

  Jin Cheng, Shuai Lu, Masahiro Yamamoto

  2023-02-14

  31979 3076 Pages:381-418

• A Deep Learning Approach for Solving the Inverse Problem of the Wave Equation

  Xiong-Bin Yan, Keke Wu, Zhi-Qin John Xu, Zheng Ma

  2026-01-25

  1079 186 Pages:29-61

• Determining a Piecewise Conductive Medium Body by a Single Far-Field Measurement

  Xinlin Cao, Huaian Diao, Hongyu Liu

  2020-12-31

  43116 3965 Pages:740-765

• Iterative Runge-Kutta-Type Methods with Convex Penalty for Inverse Problems in Hilbert Spaces

  Shanshan Tong, Wei Wang, Zhenwu Fu, Bo Han

  2023-02-14

  34388 3216 Pages:225-255

• Numerical Research for the 2D Vorticity-Stream Function Formulation of the Navier-Stokes Equations and Its Application in Vortex Merging at High Reynolds Numbers

  Jue Wang, Hongwei Ding, Lei Zhang

  2022-05-30

  39583 3211 Pages:244-272

• Two Methods Addressing Variable-Exponent Fractional Initial and Boundary Value Problems and Abel Integral Equation

  Xiangcheng Zheng

  2025-09-30

  19858 608 Pages:666-710

• Hearing the Triangles: A Numerical Perspective

  Wei Gong, Xiaodong Liu, Jing Wang

  2024-02-26

  28606 2987 Pages:58-72

• Computational Imaging of Small-Amplitude Biperiodic Surfaces with Negative Index Material

  Yuliang Wang

  2025-02-11

  11344 1156 Pages:148-175

• An Integral Equation Method for the Scattering by Core-Shell Structures in a Layered Medium

  Gang Bao, Lei Zhang

  2023-04-25

  36131 3117 Pages:515-541