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• Revisiting Parallel Splitting Augmented Lagrangian Method: Tight Convergence and Ergodic Convergence Rate

  Fan Jiang, Bingyan Lu, Zhongming Wu

  2024-11-29

  12818 1171 Pages:884-913

• A Constrained BA Algorithm for Rate-Distortion and Distortion-Rate Functions

  Lingyi Chen, Shitong Wu, Wenhao Ye, Huihui Wu, Wenyi Zhang, Hao Wu, Bo Bai

  2025-05-29

  8623 650 Pages:350-379

• Convergence Analysis on a Structure-Preserving Numerical Scheme for the Poisson-Nernst-Planck-Cahn-Hilliard System

  Yiran Qian, Cheng Wang, Shenggao Zhou

  2023-02-14

  33007 3022 Pages:345-380

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

  Yabing Sun, Weidong Zhao

  2025-02-11

  11067 987 Pages:176-206

• Robust Convergence of Parareal Algorithms with Arbitrarily High-Order Fine Propagators

  Jiang Yang, Zhaoming Yuan, Zhi Zhou

  2023-04-25

  36052 3058 Pages:566-591

• A Derivative-Free Geometric Algorithm for Optimization on a Sphere

  Yannan Chen, Min Xi, Hongchao Zhang

  2020-12-31

  40484 3712 Pages:766-801

• New Finite Volume Element Schemes Based on a Two-Layer Dual Strategy

  Weizhang Huang, Xiang Wang, Xinyuan Zhang

  2025-09-11

  4128 371 Pages:527-554

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

  Xiangjun Meng, Zhonghua Qiao, Cheng Wang, Zhengru Zhang

  2020-09-25

  41187 3504 Pages:441-462

• Deep Ritz Methods for Laplace Equations with Dirichlet Boundary Condition

  Chenguang Duan, Yuling Jiao, Yanming Lai, Xiliang Lu, Qimeng Quan, Jerry Zhijian Yang

  2022-11-07

  295185 3081 Pages:761-791

• Order Two Superconvergence of the CDG Finite Elements on Triangular and Tetrahedral Meshes

  Xiu Ye, Shangyou Zhang

  2023-02-14

  31610 3141 Pages:256-274

• Convergence on a Symmetric Accelerated Stochastic ADMM with Larger Stepsizes

  Jianchao Bai, Deren Han, Hao Sun, Hongchao Zhang

  2022-08-31

  34974 3103 Pages:448-479

• A Scalable Optimization Approach for the Multilinear System Arising from Scattered Data Interpolation

  Yannan Chen, Kaidong Fu, Can Li, Qi Ye

  2024-08-02

  21490 1600 Pages:590-614

• A Novel up to Fourth-Order Equilibria-Preserving and Energy-Stable Exponential Runge-Kutta Framework for Gradient Flows

  Haifeng Wang, Jingwei Sun, Hong Zhang, Xu Qian

  2025-02-11

  10820 979 Pages:106-147

• A Variational Discretization Method for Mean Curvature Flows by the Onsager Principle

  Yihe Liu, Xianmin Xu

  2025-02-11

  11325 1075 Pages:63-95