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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

• 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

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

  Zhongxiao Jia, Fuhui Lai

  2021-05-13

  42526 3745 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

  24110 1729 Pages:421-447

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

  Hong-Lin Liao, Tao Tang, Tao Zhou

  2022-05-30

  39237 3194 Pages:318-334

• 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 Derivative-Free Geometric Algorithm for Optimization on a Sphere

  Yannan Chen, Min Xi, Hongchao Zhang

  2020-12-31

  40484 3712 Pages:766-801

• 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

• 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

  40601 3769 Pages:693-714

• 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

• 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

  150 100

• 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

  41951 3754 Pages:376-394

• 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

• 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

  41014 3846 Pages:133-171

• 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

• 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

• 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

• Review of Mathematical Optimization in Federated Learning

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

  2025-05-29

  8689 646 Pages:207-249

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

  Kai Jiang, Juan Zhang, Qi Zhou

  2023-10-26

  29679 2595 Pages:672-695

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

  Zhihao Ge, Wenlong He

  2024-08-02

  23784 1580 Pages:515-550

• 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

  13210 1195 Pages:835-851

• 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

• Total Variations for Hue, Saturation, and Value of a Color Image

  Wei Wang, Chengyun Yang

  2024-08-02

  21563 1589 Pages:551-589

• On the Optimal Order Approximation of the Partition of Unity Finite Element Method

  Yunqing Huang, Shangyou Zhang

  2024-05-20

  23779 2116 Pages:221-233

• The Double Regularization Method for Capacity Constrained Optimal Transport

  Tianhao Wu, Qihao Cheng, Zihao Wang, Chaorui Zhang, Bo Bai, Zhongyi Huang, Hao Wu

  2023-10-26

  30510 2568 Pages:776-796

• A priori Error Analysis of a Discontinuous Galerkin Method for Cahn–Hilliard–Navier–Stokes Equations

  Chen Liu, Béatrice Rivière

  2020-04-30

  62588 5019 Pages:104-141