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  • An Energy Stable Filtered Backward Euler Scheme for the MBE Equation with Slope Selection

    Jiexin Wang, Hong-Lin Liao, Ying Zhao
    2023-01-13
    34364 3094 Pages:165-181
  • A Survey of the L1 Scheme in the Discretisation of Time-Fractional Problems

    Martin Stynes
    2023-01-21
    39883 2902 Pages:1173-1192
  • The Variable-Step L1 Scheme Preserving a Compatible Energy Law for Time-Fractional Allen-Cahn Equation

    Hong-Lin Liao, Xiaohan Zhu, Jindi Wang
    2023-01-21
    36489 2831 Pages:1128-1146
  • A Hybrid Scheme of Level Set and Diffuse Interface Methods for Simulating Multi-Phase Compressible Flows

    Meiyan Fu, Tiao Lu
    2022-07-19
    39302 2836 Pages:715-743
  • A Third Order Accurate in Time, BDF-Type Energy Stable Scheme for the Cahn-Hilliard Equation

    Kelong Cheng, Cheng Wang, Steven M. Wise, Yanmei Wu
    2022-03-23
    55566 3335 Pages:279-303
  • A Hybrid WENO Method with Modified Ghost Fluid Method for Compressible Two-Medium Flow Problems

    Zhuang Zhao, Yibing Chen, Jianxian Qiu
    2021-09-10
    47223 2674 Pages:972-997
  • A Simple Semi-Implicit Scheme for Partial Differential Equations with Obstacle Constraints

    Hao Liu, Shingyu Leung
    2020-03-16
    43839 2889 Pages:620-643
  • Analysis of a Special $Q_1$-Finite Volume Element Scheme for Anisotropic Diffusion Problems

    Fang Fang, Qi Hong, Jiming Wu
    2019-10-12
    45446 2644 Pages:1141-1167
  • Assessment of Noise Attenuation by Thin Reflecting Barriers Using Dispersion Relation Preserving Scheme

    Jitenjaya Pradhan & Yogesh G. Bhumkar
    2019-04-22
    42622 2669 Pages:942-968
  • An Unconditionally Stable Laguerre Based Finite Difference Method for Transient Diffusion and Convection-Diffusion Problems

    Wescley T. B. de Sousa & Carlos F. T. Matt
    2019-04-22
    44386 2737 Pages:681-708
  • 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
    42117 2834 Pages:607-626
  • Generalized and Unified Families of Interpolating Subdivision Schemes

    Ghulam Mustafa, Pakeeza Ashraf & Jiansong Deng
    2014-07-01
    39259 3464 Pages:193-213
  • A Fitted Numerov Method for Singularly Perturbed Parabolic Partial Differential Equation with a Small Negative Shift Arising in Control Theory

    R. Nageshwar Rao & P. Pramod Chakravarthy
    2014-07-01
    41501 4378 Pages:23-40
  • Efficient Simulation of Wave Propagation with Implicit Finite Difference Schemes

    Wensheng Zhang, Li Tong & Eric T. Chung
    2018-08-14
    39499 3733 Pages:205-228
  • Multigrid Solution of a Lavrentiev-Regularized State-Constrained Parabolic Control Problem

    Alfio Borzì & Sergio González Andrade
    2012-05-01
    40883 4451 Pages:1-18 Open-access
  • A Finite Difference Scheme on $a$ $priori$ Adapted Meshes for a Singularly Perturbed Parabolic Convection-Diffusion Equation

    Grigory I. Shishkin
    2008-01-01
    37714 3284 Pages:214-234
  • Decoupling Analysis for Solving the Diffusive Peterlin Viscoelastic Model

    Zhen Miao, Yaolin Jiang
    2025-10-22
    3767 214 Pages:972-1002
  • Implicit-Explicit Time Discretization Schemes for a Class of Semilinear Wave Equations with Nonautonomous Dampings

    Zhe Jiao, Yaxu Li, Lijing Zhao
    2025-09-01
    4694 339 Pages:650-679
  • 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
    6740 554 Pages:127-156
  • Stability and Error Analysis of SAV Semi-Discrete Scheme for Cahn-Hilliard-Navier-Stokes Model

    Haijun Gao, Xi Li, Minfu Feng
    2025-04-06
    6888 537 Pages:66-102
  • A Finite Volume Simple WENO Scheme for Convection-Diffusion Equations

    Pufan Deng, Gang Peng, Xinlong Feng, Dongmi Luo, Yibing Chen
    2024-12-11
    12150 1297 Pages:882-903
  • A Physics-Informed Structure-Preserving Numerical Scheme for the Phase-Field Hydrodynamic Model of Ternary Fluid Flows

    Qi Hong, Yuezheng Gong, Jia Zhao
    2023-08-29
    35416 2951 Pages:565-596
  • Semi-Discrete and Fully Discrete Weak Galerkin Finite Element Methods for a Quasistatic Maxwell Viscoelastic Model

    Jihong Xiao, Zimo Zhu, Xiaoping Xie
    2023-01-13
    33423 3119 Pages:79-110
  • L1/Local Discontinuous Galerkin Method for the Time-Fractional Stokes Equation

    Changpin Li, Zhen Wang
    2023-01-21
    37742 2939 Pages:1099-1127
  • Artificial Boundary Conditions for Time-Fractional Telegraph Equation

    Wang Kong, Zhongyi Huang
    2022-03-23
    46136 2939 Pages:360-386
  • 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
    45613 2722 Pages:1085-1109
  • Numerical Analysis of a High-Order Scheme for Nonlinear Fractional Differential Equations with Uniform Accuracy

    Junying Cao, Zhenning Cai
    2020-10-09
    48248 4188 Pages:71-112
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