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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

  12940 1203 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

  8799 695 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

  33125 3053 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

  11215 1123 Pages:176-206

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

  Jiang Yang, Zhaoming Yuan, Zhi Zhou

  2023-04-25

  36167 3098 Pages:566-591

• Optimal Strong Convergence Rate of Spectral Galerkin Exponential Euler Scheme for Parabolic SPDEs

  Jialin Hong, Chuying Huang, Zhihui Liu

  2026-04-02

  40 38

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

  Yannan Chen, Min Xi, Hongchao Zhang

  2020-12-31

  40612 3751 Pages:766-801

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

  Xiangjun Meng, Zhonghua Qiao, Cheng Wang, Zhengru Zhang

  2020-09-25

  41309 3532 Pages:441-462

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

  Weizhang Huang, Xiang Wang, Xinyuan Zhang

  2025-09-11

  4289 404 Pages:527-554

• 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

  295288 3153 Pages:761-791

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

  Xiu Ye, Shangyou Zhang

  2023-02-14

  31721 3165 Pages:256-274

• Convergence on a Symmetric Accelerated Stochastic ADMM with Larger Stepsizes

  Jianchao Bai, Deren Han, Hao Sun, Hongchao Zhang

  2022-08-31

  35110 3143 Pages:448-479

• A Stochastic Three-Block Alternating Minimization Algorithm and Its Application to Quantized Deep Neural Networks

  Fengmiao Bian, Ren Liu, Xiaoqun Zhang

  2026-04-11

  29 19

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

  Yannan Chen, Kaidong Fu, Can Li, Qi Ye

  2024-08-02

  21637 1625 Pages:590-614

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

  Yihe Liu, Xianmin Xu

  2025-02-11

  11478 1165 Pages:63-95

• Efficient Two-Dimensional Randomized Progressive Iterative Approximation for Large-Scale B-Spline Fitting

  Chengzhi Liu, Nian-Ci Wu, Juncheng Li

  2026-05-01

  324 47 Pages:556-575

• 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

  10973 1072 Pages:106-147