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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

  13095 1238 Pages:852-883

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

  Dmitrii Chaikovskii, Aleksei Liubavin, Ye Zhang

  2023-10-26

  27306 2491 Pages:721-757

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

  Wenbin Liu, Liang Yan, Tao Zhou, Yuancheng Zhou

  2024-08-02

  23162 1700 Pages:636-670

• 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

  31849 3032 Pages:381-418