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  • Convergence Analysis of Split-Douglas-Rachford Algorithm and a Novel Preconditioned ADMM with an Improved Condition

    Maoran Wang, Xingju Cai, Yongxin Chen
    2024-08-30
    DOI:10.4208/nmtma.OA-2023-0113
    17930 1456 pp. 658-696
  • Convergence of a Generalized Primal-Dual Algorithm with an Improved Condition for Saddle Point Problems

    Fan Jiang, Yueying Luo, Xingju Cai, Tanxing Wang
    2025-05-16
    DOI:10.4208/nmtma.OA-2024-0105
    7589 587 pp. 463-486
  • Convergence Analysis of OT-Flow for Sample Generation

    Yang Jing, Lei Li
    2025-05-16
    DOI:10.4208/nmtma.OA-2024-0114
    7493 587 pp. 325-352
  • Entirely Exponential-Type Scheme (E2S) for Optimization Problems with Singularly Perturbed ODE Constraints: The Model Problem

    Mengyu Li, Tiegang Liu, Kui Cao, Chengliang Feng, Bin Zhang, Weixiong Yuan
    2025-09-01
    DOI:10.4208/nmtma.OA-2024-0135
    5194 452 pp. 817-844
  • Fourier Convergence Analysis for a Fokker-Planck Equation of Tempered Fractional Langevin-Brownian Motion

    Maoping Wang, Weihua Deng
    2024-08-30
    DOI:10.4208/nmtma.OA-2023-0137
    17388 1413 pp. 751-776
  • An Extended Two-Step Method for Inverse Eigenvalue Problems with Multiple Eigenvalues

    Yue Wang, Weiping Shen
    2023-11-07
    DOI:10.4208/nmtma.OA-2023-0002
    28051 2370 pp. 968-992
  • A Convergence Study of SGD-Type Methods for Stochastic Optimization

    Tiannan Xiao, Guoguo Yang
    2023-11-07
    DOI:10.4208/nmtma.OA-2022-0179
    28305 2503 pp. 914-930
  • A Convergence Analysis of a Structure-Preserving Gradient Flow Method for the All-Electron Kohn-Sham Model

    Yedan Shen, Ting Wang, Jie Zhou, Guanghui Hu
    2023-08-29
    DOI:10.4208/nmtma.OA-2022-0195
    31032 2667 pp. 597-621
  • Strong Convergence of a Fully Discrete Scheme for Multiplicative Noise Driving SPDEs with Non-Globally Lipschitz Continuous Coefficients

    Xu Yang, Weidong Zhao
    2021-09-10
    DOI:10.4208/nmtma.OA-2020-0143
    45817 2783 pp. 1085-1109
  • Numerical Methods for System Parabolic Variational Inequalities from Regime-Switching American Option Pricing

    Jie Xing, Jingtang Ma
    2018-12-17
    DOI:10.4208/nmtma.OA-2018-0025
    41699 2825 pp. 566-593
  • Uniform Convergence of Adaptive Multigrid Methods for Elliptic Problems and Maxwell's Equations

    Ralf Hiptmair, Haijun Wu, Weiying Zheng
    2012-05-01
    DOI:10.4208/nmtma.2012.m1128
    40868 3694 pp. 297-332
  • Analysis of Dirichlet-Neumann and Neumann-Dirichlet Methods for Time-Periodic Parabolic Optimal Control Problems

    Bo Song, Jia-Yi Lv, Yao-Lin Jiang
    2025-12-20
    DOI:10.4208/nmtma.OA-2025-0054
    511 187 pp. 155-191
  • Enhancing RBF-FD Efficiency for Highly Non-Uniform Node Distributions via Adaptivity

    Siqing Li, Leevan Ling, Xin Liu, Pankaj K. Mishra, Mrinal K. Sen, Jing Zhang
    2024-05-11
    DOI:10.4208/nmtma.OA-2023-0095
    26345 2162 pp. 331-350
  • Stability and Convergence Analyses of the FDM Based on Some L-Type Formulae for Solving the Subdiffusion Equation

    Reza Mokhtari, Mohadese Ramezani, Gundolf Haase
    2021-09-10
    DOI:10.4208/nmtma.OA-2021-0020
    48654 2786 pp. 945-971
  • Convergence of the Peaceman-Rachford Splitting Method for a Class of Nonconvex Programs

    Miantao Chao, Deren Han, Xingju Cai
    2021-01-26
    DOI:10.4208/nmtma.OA-2020-0063
    45796 2779 pp. 438-460
  • Convergence and Stability of the Truncated Euler-Maruyama Method for Stochastic Differential Equations with Piecewise Continuous Arguments

    Yidan Geng, Minghui Song, Yulan Lu, Mingzhu Liu
    2020-10-09
    DOI:10.4208/nmtma.OA-2019-0108
    48260 3822 pp. 194-218
  • Several Variants of the Primal-Dual Hybrid Gradient Algorithm with Applications

    Jianchao Bai, Jicheng Li, Zhie Wu
    2020-03-06
    DOI:10.4208/nmtma.OA-2019-0030
    46782 4361 pp. 176-199
  • Convergence Analysis of a Numerical Scheme for the Porous Medium Equation by an Energetic Variational Approach

    Chenghua Duan, Chun Liu, Cheng Wang, Xingye Yue
    2020-03-06
    DOI:10.4208/nmtma.OA-2019-0073
    59029 4637 pp. 63-80
  • Adaptive Parallel Primal-Dual Method for Saddle Point Problems

    Xiayang Zhang
    2018-09-17
    DOI:10.4208/nmtma.2018.m1621
    42550 4767 pp. 187-210
  • Local Convergence for a Fifth Order Traub-Steffensen-Chebyshev-Like Composition Free of Derivatives in Banach Space

    Ioannis K. Argyros, Santhosh George
    2018-09-17
    DOI:10.4208/nmtma.OA-2017-0017
    41909 4260 pp. 160-168
  • The Numerical Simulation of Space-Time Variable Fractional Order Diffusion Equation

    Hongmei Zhang, Shujun Shen
    2013-06-01
    DOI:10.4208/nmtma.2013.y12107
    40254 3668 pp. 571-585
  • Convergence Estimates for Some Regularization Methods to Solve a Cauchy Problem of the Laplace Equation

    T. Wei, H. H. Qin, H. W. Zhang
    2011-04-01
    DOI:10.4208/nmtma.2011.m1015
    41877 3812 pp. 459-477
  • On Newton's Method for Solving Nonlinear Equations and Function Splitting

    Ioannis K. Argyros, Said Hilout
    2011-04-01
    DOI:10.4208/nmtma.2011.m99009
    39368 4056 pp. 53-67
  • Superlinear Convergence of a Smooth Approximation Method for Mathematical Programs with Nonlinear Complementarity Constraints

    Fujian Duan, Lin Fan
    2010-03-01
    DOI:10.4208/nmtma.2010.33.6
    40227 3671 pp. 367-386
  • A Gradient Recovery Technique for Enhancing the Convergence of Demagnetizing Field Based on PDE Approach

    Jing Wu, Zixuan Cui, Lei Yang, Guanghui Hu
    2025-11-10
    DOI:10.4208/nmtma.OA-2025-0043
    560 218 pp. 80-105
  • Decoupling Analysis for Solving the Diffusive Peterlin Viscoelastic Model

    Zhen Miao, Yaolin Jiang
    2025-10-22
    DOI:10.4208/nmtma.OA-2024-0130
    5531 323 pp. 972-1002
  • Convergence Analysis on a Second-Order, Positive, and Unconditional Energy Dissipative Scheme for the Poisson-Nernst-Planck Equations

    Jie Ding, Xiang Ji, Ziheng Xu
    2025-09-01
    DOI:10.4208/nmtma.OA-2025-0002
    5182 458 pp. 703-732
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