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  • Second Order Multigrid Methods for Elliptic Problems with Discontinuous Coefficients on an Arbitrary Interface, I: One Dimensional Problems

    Armando Coco, Giovanni Russo
    2012-05-01
    DOI:10.4208/nmtma.2011.m12si02
    41542 4554 pp. 19-42 Open Access
  • A Second Order Accurate in Time, Energy Stable Finite Element Scheme for a Liquid Thin Film Coarsening Model

    Maoqin Yuan, Lixiu Dong, Juan Zhang
    2025-04-06
    DOI:10.4208/nmtma.OA-2024-0081
    7082 769 pp. 127-156
  • A Stabilizer Free Weak Galerkin Finite Element Method for Elliptic Equation with Lower Regularity

    Yiying Wang, Yongkui Zou, Xuan Liu, Chenguang Zhou
    2024-05-11
    DOI:10.4208/nmtma.OA-2023-0163
    21245 1781 pp. 514-533
  • Generalized Rough Polyharmonic Splines for Multiscale PDEs with Rough Coefficients

    Xinliang Liu, Lei Zhang, Shengxin Zhu
    2021-09-10
    DOI:10.4208/nmtma.OA-2021-0100
    48030 2785 pp. 862-892
  • Spectral Deferred Correction Methods for Fractional Differential Equations

    Chunwan Lv, Mejdi Azaiez, Chuanju Xu
    2021-01-13
    DOI:10.4208/nmtma.2018.s03
    44958 2898 pp. 729-751
  • The Conservation and Convergence of Two Finite Difference Schemes for KdV Equations with Initial and Boundary Value Conditions

    Jinye Shen, Xuping Wang, Zhi-zhong Sun
    2020-03-06
    DOI:10.4208/nmtma.OA-2019-0038
    46119 4466 pp. 253-280
  • Convergence Analysis of the Legendre Spectral Collocation Methods for Second Order Volterra Integro-Differential Equations

    Yunxia Wei, Yanping Chen
    2011-04-01
    DOI:10.4208/nmtma.2011.m1028
    39674 4179 pp. 419-438
  • Implicit-Explicit Time Discretization Schemes for a Class of Semilinear Wave Equations with Nonautonomous Dampings

    Zhe Jiao, Yaxu Li, Lijing Zhao
    2025-09-01
    DOI:10.4208/nmtma.OA-2024-0131
    5176 434 pp. 650-679
  • A Third-Order Implicit-Explicit Runge-Kutta Method for Landau-Lifshitz Equation with Arbitrary Damping Parameters

    Yan Gui, Rui Du, Cheng Wang
    2024-12-11
    DOI:10.4208/nmtma.OA-2024-0036
    11982 1304 pp. 1041-1073
  • Deferred Correction Methods for Forward Backward Stochastic Differential Equations

    Tao Tang, Weidong Zhao, Tao Zhou
    2020-11-03
    DOI:10.4208/nmtma.2017.s02
    40856 4285 pp. 222-242 Open Access
  • Newton-Multigrid for Biological Reaction-Diffusion Problems with Random Coefficients

    Eveline Rosseel, Nico Scheerlinck, Stefan Vandewalle
    2012-05-01
    DOI:10.4208/nmtma.2011.m12si04
    40928 4599 pp. 62-84 Open Access
  • The Partition of Unity Method for High-Order Finite Volume Schemes Using Radial Basis Functions Reconstruction

    Serena Morigi, Fiorella Sgallari
    2009-02-01
    39395 3865 pp. 153-179
  • A BDF2-SSAV Numerical Scheme with Fourier-Spectral Method for a Droplet Thin Film Coarsening Model

    Juan Zhang, Lixiu Dong, Zhengru Zhang
    2024-08-30
    DOI:10.4208/nmtma.OA-2024-0016
    17593 1437 pp. 777-804
  • Convergence and Stability Analysis of Exponential General Linear Methods for Delay Differential Equations

    Jingjun Zhao, Yu Li, Yang Xu
    2018-09-17
    DOI:10.4208/nmtma.OA-2017-0032
    40602 2851 pp. 354-382
  • Quadrature Based Optimal Iterative Methods with Applications in High-Precision Computing

    Sanjay Kumar Khattri
    2012-05-01
    DOI:10.4208/nmtma.2012.m1114
    41794 3571 pp. 592-601
  • A Compact Difference Scheme for an Evolution Equation with a Weakly Singular Kernel

    Hongbin Chen, Da Xu
    2012-05-01
    DOI:10.4208/nmtma.2012.m11032
    43646 4062 pp. 559-572
  • 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
  • Unconditional Convergence of Linearized TL1 Difference Methods for a Time-Fractional Coupled Nonlinear Schrödinger System

    Min Li, Dongfang Li, Ju Ming, A. S. Hendy
    2025-04-06
    DOI:10.4208/nmtma.OA-2024-0095
    7147 786 pp. 1-30
  • Conservative Three-Level Linearized Finite Difference Schemes for the Fisher Equation and Its Maximum Error Estimates

    Guang-Hua Gao, Biao Ge, Zhi-Zhong Sun
    2023-08-29
    DOI:10.4208/nmtma.OA-2022-0123
    29034 2652 pp. 634-667
  • On the Construction and Analysis of Finite Volume Element Schemes with Optimal $L^2$ Convergence Rate

    Xiang Wang, Yuqing Zhang
    2020-10-09
    DOI:10.4208/nmtma.OA-2020-0027
    47756 3755 pp. 47-70
  • Strong Convergence of the Semi-Implicit Euler Method for a Kind of Stochastic Volterra Integro-Differential Equations

    Jianfang Gao, Shufang Ma, Hui Liang
    2018-12-17
    DOI:10.4208/nmtma.OA-2017-0030
    43383 2875 pp. 547-565
  • 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
  • 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
  • An Accurate Numerical Scheme for Mean-Field Forward and Backward SDEs with Jumps

    Yabing Sun, Jie Yang, Weidong Zhao
    2024-02-26
    DOI:10.4208/nmtma.OA-2023-0048
    23819 2366 pp. 243-274
  • A High-Order Piecewise Quartic Spline Rule for Hadamard Integral and Its Application of the Cavity Scattering

    Meiling Zhao, Wenjie He, Gendai Gu
    2021-06-02
    DOI:10.4208/nmtma.2020-0163
    46376 2667 pp. 811-838
  • An Optimized Two-Step Hybrid Block Method Formulated in Variable Step-Size Mode for Integrating $y''=f(x,y,y')$ Numerically

    Gurjinder Singh, Higinio Ramos
    2018-12-17
    DOI:10.4208/nmtma.OA-2018-0036
    42911 2796 pp. 640-660
  • Optimal Rate Convergence Analysis of a Second Order Numerical Scheme for the Poisson-Nernst-Planck System

    Jie Ding, Cheng Wang, Shenggao Zhou
    2018-12-17
    DOI:10.4208/nmtma.OA-2018-0058
    42344 2896 pp. 607-626
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