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• A New $\mathcal{L}1$-TFPM Scheme for the Singularly Perturbed Subdiffusion Equations

  Wang Kong, Zhongyi Huang

  2025-02-11

  11165 969 Pages:1-30

• Stochastic Runge-Kutta Methods for Preserving Maximum Bound Principle of Semilinear Parabolic Equations. Part I: Gaussian Quadrature Rule

  Yabing Sun, Weidong Zhao

  2024-05-20

  21538 1808 Pages:390-420

• 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

  31702 2993 Pages:381-418

• A Label-Free Hybrid Iterative Numerical Transferable Solver for Partial Differential Equations

  Xinyi Wang, Jingrun Chen, Rui Du

  2024-11-29

  14393 1150 Pages:712-734

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

  Dmitrii Chaikovskii, Aleksei Liubavin, Ye Zhang

  2023-10-26

  27069 2446 Pages:721-757

• Well-Posedness and Regularity Analyses for Nonlocal Nonautonomous System

  Rui Sun, Lijuan Zhang, Weihua Deng

  2025-09-11

  3973 373 Pages:593-624

• Solving Time-Dependent Parametric PDEs by Multiclass Classification-Based Reduced Order Model

  Chen Cui, Kai Jiang, Shi Shu

  2023-01-09

  34060 3662 Pages:13-40

• Artificial Regularization Parameter Analysis for the No-Slope-Selection Epitaxial Thin Film Model

  Xiangjun Meng, Zhonghua Qiao, Cheng Wang, Zhengru Zhang

  2020-09-25

  41074 3462 Pages:441-462

• Combined Second and Fourth-Order PDEs Model and Associated Variational Problems for Geometric Images Inpainting and Denoising

  Anis Theljani, Zakaria Belhachmi, Moez Kallel, Maher Moakher

  2021-11-29

  38503 3432 Pages:652-679

• A Sharp Uniform-in-Time Error Estimate for Stochastic Gradient Langevin Dynamics

  Lei Li, Yuliang Wang

  2025-09-30

  9243 179 Pages:711-759