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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
    41540 4545 Pages: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
    7078 763 Pages: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
    21240 1778 Pages:514-533
  • Generalized Rough Polyharmonic Splines for Multiscale PDEs with Rough Coefficients

    Xinliang Liu, Lei Zhang, Shengxin Zhu
    2021-09-10
    48025 2782 Pages:862-892
  • Spectral Deferred Correction Methods for Fractional Differential Equations

    Chunwan Lv, Mejdi Azaiez, Chuanju Xu
    2021-01-13
    44953 2896 Pages: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
    46114 4457 Pages:253-280
  • Convergence Analysis of the Legendre Spectral Collocation Methods for Second Order Volterra Integro-Differential Equations

    Yunxia Wei, Yanping Chen
    2011-04-01
    39672 4176 Pages: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
    5169 433 Pages: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
    11977 1302 Pages:1041-1073
  • Deferred Correction Methods for Forward Backward Stochastic Differential Equations

    Tao Tang, Weidong Zhao, Tao Zhou
    2020-11-03
    40852 4278 Pages:222-242 Open-access
  • Newton-Multigrid for Biological Reaction-Diffusion Problems with Random Coefficients

    Eveline Rosseel, Nico Scheerlinck, Stefan Vandewalle
    2012-05-01
    40924 4589 Pages: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
    39393 3864 Pages: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
    17587 1435 Pages:777-804
  • Convergence and Stability Analysis of Exponential General Linear Methods for Delay Differential Equations

    Jingjun Zhao, Yu Li, Yang Xu
    2018-09-17
    40599 2848 Pages:354-382
  • Quadrature Based Optimal Iterative Methods with Applications in High-Precision Computing

    Sanjay Kumar Khattri
    2012-05-01
    41788 3569 Pages:592-601
  • A Compact Difference Scheme for an Evolution Equation with a Weakly Singular Kernel

    Hongbin Chen, Da Xu
    2012-05-01
    43641 4061 Pages:559-572
  • Decoupling Analysis for Solving the Diffusive Peterlin Viscoelastic Model

    Zhen Miao, Yaolin Jiang
    2025-10-22
    5523 320 Pages: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
    7139 780 Pages: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
    29026 2649 Pages: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
    47746 3748 Pages: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
    43378 2874 Pages: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
    48251 3812 Pages:194-218
  • On Newton's Method for Solving Nonlinear Equations and Function Splitting

    Ioannis K. Argyros, Said Hilout
    2011-04-01
    39366 4048 Pages:53-67
  • An Accurate Numerical Scheme for Mean-Field Forward and Backward SDEs with Jumps

    Yabing Sun, Jie Yang, Weidong Zhao
    2024-02-26
    23811 2360 Pages: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
    46370 2661 Pages: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
    42903 2791 Pages: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
    42337 2893 Pages:607-626
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