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  • A Time Variable Filter Approach for the Fluid-Fluid Interaction

    Wei Li, Pengzhan Huang, Yinnian He
    2025-05-29
    186 63 Pages:1417-1451
  • A Stable Arbitrarily High Order Time-Stepping Method for Thermal Phase Change Problems

    Weiwen Wang, Chuanju Xu
    2023-03-13
    40289 3292 Pages:477-510
  • A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation

    Yue Yan, Wenbin Chen, Cheng Wang & Steven M. Wise
    2018-08-21
    51465 3299 Pages:572-602
  • A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model

    Wenbin Chen, Jianyu Jing, Cheng Wang, Xiaoming Wang, Steven M. Wise
    2021-12-06
    49256 4172 Pages:60-93 Open-access
  • Energy Stable Gradient Flow Schemes for Shape and Topology Optimization in Navier-Stokes Flows

    Jiajie Li, Shengfeng Zhu
    2025-08-08
    4447 455 Pages:404-438
  • Random Walk Approximation for Irreversible Drift-Diffusion Process on Manifold: Ergodicity, Unconditional Stability and Convergence

    Yuan Gao, Jian-Guo Liu
    2023-08-14
    32964 3064 Pages:132-172
  • The Stability and Convergence of Fully Discrete Galerkin-Galerkin FEMs for Porous Medium Flows

    Buyang Li, Jilu Wang & Weiwei Sun
    2020-07-31
    42403 4297 Pages:1141-1158
  • Linear and Unconditionally Energy Stable Schemes for the Multi-Component Two-Phase Diffuse Interface Model with Peng-Robinson Equation of State

    Chenfei Zhang, Hongwei Li, Xiaoping Zhang, Lili Ju
    2019-07-02
    46000 3286 Pages:1071-1097
  • A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters

    Lixiu Dong, Cheng Wang, Hui Zhang, Zhengru Zhang
    2020-07-21
    49155 3215 Pages:967-998
  • Fully Decoupled, Linear and Unconditionally Energy Stable Schemes for the Binary Fluid-Surfactant Model

    Yuzhe Qin, Zhen Xu, Hui Zhang, Zhengru Zhang
    2020-08-27
    50113 3275 Pages:1389-1414
  • New Unconditionally Stable Schemes for the Navier-Stokes Equations

    Hui Yao, Mejdi Azaiez, Chuanju Xu
    2021-08-10
    48952 3088 Pages:1083-1117
  • Efficient Energy-Stable Parametric Finite Element Methods for Surface Diffusion Flow and Applications in Solid-State Dewetting

    Meng Li, Yihang Guo, Jingjiang Bi
    2025-08-23
    5837 370 Pages:729-765
  • An Unconditionally Energy-Stable and Orthonormality-Preserving Scheme for the Kohn-Sham Gradient Flow Based Model Based on a Tetrahedral Spectral Element Method

    Hongfei Zhan, Ting Wang, Guanghui Hu
    2025-04-27
    201 53 Pages:921-941
  • Efficient and Stable Schemes for the Magnetohydrodynamic Potential Model

    Guo-Dong Zhang, Xiaofeng Yang
    2021-07-01
    48341 3264 Pages:771-798
  • High Order Compact Schemes in Projection Methods for Incompressible Viscous Flows

    Michel FourniƩ & Alain Rigal
    2011-09-01
    38133 3846 Pages:994-1019
  • Solving Maxwell's Equation in Meta-Materials by a CG-DG Method

    Ziqing Xie, Jiangxing Wang, Bo Wang & Chuanmiao Chen
    2020-07-31
    41726 3264 Pages:1242-1264
  • Fast Evaluation of the Caputo Fractional Derivative and Its Applications to Fractional Diffusion Equations: A Second-Order Scheme

    Yonggui Yan, Zhi-Zhong Sun & Jiwei Zhang
    2017-10-02
    44321 3357 Pages:1028-1048
  • Efficient, Accurate and Energy Stable Discontinuous Galerkin Methods for Phase Field Models of Two-Phase Incompressible Flows

    Ruihan Guo, Yan Xu
    2019-07-02
    49349 3127 Pages:1224-1248
  • Symmetric Energy-Conserved Splitting FDTD Scheme for the Maxwell's Equations

    Wenbin Chen, Xingjie Li & Dong Liang
    2009-06-01
    37205 3962 Pages:804-825
  • Unconstrained ETD Methods on the Diffuse-Interface Model with the Peng-Robinson Equation of State

    Menghuo Chen, Yuanqing Wu, Xiaoyu Feng, Shuyu Sun
    2024-05-06
    28770 1940 Pages:973-1002
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