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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

• 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

• 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

• A Convergence Analysis on the Iterative Trace Ratio Algorithm and Its Refinements

  Zhongxiao Jia, Fuhui Lai

  2021-05-13

  42639 3776 Pages:297-312

• DeepSPIM: Deep Semi-Proximal Iterative Method for Sparse-View CT Reconstruction with Convergence Guarantee

  Deliang Wei, Fang Li, Xiao Shen, Tieyong Zeng

  2024-08-02

  24261 1760 Pages:421-447

• A New Discrete Energy Technique for Multi-Step Backward Difference Formulas

  Hong-Lin Liao, Tao Tang, Tao Zhou

  2022-05-30

  39368 3233 Pages:318-334

• Optimal Control for Maximum Instantaneous Convergence in Collective Migration Models

  Yipeng Chen, Yicheng Liu, Xiao Wang

  2026-03-31

  47 36

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

  Jialin Hong, Chuying Huang, Zhihui Liu

  2026-04-02

  40 38

• 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

• 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

• 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

• An Inexact Framework of the Newton-Based Matrix Splitting Iterative Method for the Generalized Absolute Value Equation

  Dongmei Yu, Cairong Chen, Deren Han

  2024-11-29

  13323 1236 Pages:835-851

• Convergence Analysis of Asymptotical Regularization and Runge-Kutta Integrators for Linear Inverse Problems under Variational Source Conditions

  Yubin Zhao, Peter Mathé, Shuai Lu

  2020-12-31

  40716 3787 Pages:693-714

• 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

• Review of Mathematical Optimization in Federated Learning

  Shusen Yang, Fangyuan Zhao, Zihao Zhou, Liang Shi, Xuebin Ren, Zongben Xu

  2025-05-29

  8895 697 Pages:207-249

• The Projected Newton Iteration Approach for Computing the Nonnegative Z-Eigenpairs of Nonnegative Tensors

  Peihuan Bi, Wen Li, Dongdong Liu, Mingqing Xiao

  2021-05-13

  42069 3775 Pages:376-394

• 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 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

• An Accelerated Spectral Perry-Type Conjugate Gradient Projection Method for Unconstrained Nonlinear Equations with Applications

  Pengjie Liu, Xiaoyu Wu, Hu Shao, Ting Wu

  2026-01-05

  217 149

• 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

• Multitask Kernel-Learning Parameter Prediction Method for Solving Time-Dependent Linear Systems

  Kai Jiang, Juan Zhang, Qi Zhou

  2023-10-26

  29794 2638 Pages:672-695

• A New Multiphysics Finite Element Method for a Biot Model with Secondary Consolidation

  Zhihao Ge, Wenlong He

  2024-08-02

  23925 1617 Pages:515-550

• An Adaptive Block Bregman Proximal Gradient Method for Computing Stationary States of Multicomponent Phase-Field Crystal Model

  Chenglong Bao, Chang Chen, Kai Jiang

  2022-03-03

  41141 3930 Pages:133-171

• 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

• Error Estimates of Finite Element Methods for the Nonlinear Backward Stochastic Stokes Equations

  Yongwang Sun, Weidong Zhao, Wenju Zhao

  2025-02-11

  12124 1163 Pages:31-62

• A High Order Explicit Time Finite Element Method for the Acoustic Wave Equation with Discontinuous Coefficients

  Zhiming Chen, Yong Liu, Xueshuang Xiang

  2024-11-29

  14087 1240 Pages:735-787