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• On Residual Minimization for PDEs: Failure of PINN, Modified Equation, and Implicit Bias

  Tao Luo, Qixuan Zhou

  2026-01-21

  135 54 Pages:313-376

• Generalized Isospectral-Nonisospectral Modified Korteweg-de Vries Integrable Hierarchies and Related Properties

  Huanhuan Lu, Xinan Ren, Yufeng Zhang, Hongyi Zhang

  2024-05-11

  22117 1932 Pages:105-138

• Exact Solutions of (2+1)-Dimensional Nonlinear Schrödinger Equation Based on Modified Extended Tanh Method

  Shuhua Zheng, Heng Wang

  2022-06-21

  25421 3089 Pages:102-110

• Fast High Order and Energy Dissipative Schemes with Variable Time Steps for Time-Fractional Molecular Beam Epitaxial Growth Model

  Dianming Hou, Zhonghua Qiao, Tao Tang

  2023-11-06

  24497 2483 Pages:429-461

• A Linearized Adaptive Dynamic Diffusion Finite Element Method for Convection-Diffusion-Reaction Equations

  Shaohong Du, Qianqian Hou, Xiaoping Xie

  2023-09-15

  23972 2427 Pages:323-351

• On the Boundedness of a Class of Nonlinear Dynamic Equations of the Third Order

  Ningning Zhu, Fanwei Meng

  2023-09-15

  25125 3080 Pages:102-110