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  • An Adaptive Time-Stepping Strategy for the Cahn-Hilliard Equation

    Zhengru Zhang, Zhonghua Qiao
    2020-07-31
    41801 4353 Pages:1261-1278
  • Fluid Structure Interaction Problems: The Necessity of a Well Posed, Stable and Accurate Formulation

    Jan Nordstrom, Sofia Eriksson
    2010-08-01
    41088 4101 Pages:1111-1138
  • Stability Analysis of the Immersed Boundary Method for a Two-Dimensional Membrane with Bending Rigidity

    Zhaoxin Gong, Huaxiong Huang, Chuanjing Lu
    2008-03-01
    38838 3869 Pages:704-723
  • An Exponential-Free Runge–Kutta Framework for Developing Third-Order Unconditionally Energy Stable Schemes for the Cahn–Hilliard Equation

    Haifeng Wang, Jingwei Sun, Hong Zhang, Xu Qian, Songhe Song
    2026-04-10
    167 41 Pages:199-238
  • Thermodynamically Consistent Modeling and Energy Stable Numerical Simulation of Multicomponent Compressible Flow in Poroelastic Media

    Jisheng Kou, Amgad Salama, Huangxin Chen, Shuyu Sun
    2026-01-03
    2071 176 Pages:815-854
  • A Highly Efficient CN-Like Scheme for the Transient Wigner Equation

    Yidan Wang, Haiyan Jiang, Tiao Lu, Wenqi Yao
    2026-01-03
    1924 104 Pages:775-798
  • Modelling of Compressible Multi-Component Two-Phase Flow with Multi-Component Navier Boundary Condition

    Junkai Wang, Qiaolin He
    2024-10-29
    17624 1223 Pages:1053-1089
  • 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
    9430 588 Pages:921-941
  • A New Coupled Complex Boundary Method for Bioluminescence Tomography

    Rongfang Gong, Xiaoliang Cheng, Weimin Han
    2018-04-03
    40728 5281 Pages:226-250
  • A Fast Semi-Implicit Level Set Method for Curvature Dependent Flows with an Application to Limit Cycles Extraction in Dynamical Systems

    Guoqiao You, Shingyu Leung
    2018-04-03
    42656 5338 Pages:203-229
  • A High Order Spectral Volume Formulation for Solving Equations Containing Higher Spatial Derivative Terms II: Improving the Third Derivative Spatial Discretization Using the LDG2 Method

    Ravi Kannan
    2012-12-01
    40509 3874 Pages:767-788
  • Double Exchange Model in Triangular Lattice Studied by Truncated Polynomial Expansion Method

    Gui-Ping Zhang
    2011-10-01
    37637 3986 Pages:422-432
  • Towards the Efficient Calculation of Quantity of Interest from Steady Euler Equations I: A Dual-Consistent DWR-Based $h$-Adaptive Newton-GMG Solver

    Jingfeng Wang, Guanghui Hu
    2024-04-10
    24705 2303 Pages:579-608 Open-access
  • A Stable Arbitrarily High Order Time-Stepping Method for Thermal Phase Change Problems

    Weiwen Wang, Chuanju Xu
    2023-03-13
    40522 3355 Pages:477-510
  • Efficient and Stable Schemes for the Magnetohydrodynamic Potential Model

    Guo-Dong Zhang, Xiaofeng Yang
    2021-07-01
    48536 3329 Pages:771-798
  • A Decoupled Energy Stable Adaptive Finite Element Method for Cahn–Hilliard–Navier–Stokes Equations

    Yaoyao Chen, Yunqing Huang, Nianyu Yi
    2021-02-25
    48019 3482 Pages:1186-1212
  • A Third Order BDF Energy Stable Linear Scheme for the No-Slope-Selection Thin Film Model

    Yonghong Hao, Qiumei Huang, Cheng Wang
    2021-01-13
    47424 3536 Pages:905-929
  • 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
    50340 3350 Pages:1389-1414
  • An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

    Kelong Cheng, Cheng Wang, Steven M. Wise
    2019-08-27
    50877 3663 Pages:1335-1364
  • Collocation Methods for Cauchy Problems of Elliptic Operators via Conditional Stabilities

    Siqing Li, Leevan Ling
    2019-04-28
    45995 3119 Pages:785-808
  • Semi-Implicit Spectral Deferred Correction Method Based on the Invariant Energy Quadratization Approach for Phase Field Problems

    Ruihan Guo, Yan Xu
    2019-02-25
    50368 5375 Pages:87-113
  • A Novel Second-Order Scheme for the Molecular Beam Epitaxy Model with Slope Selection

    Lizhen Chen, Jia Zhao, Yuezheng Gong
    2018-12-08
    49134 3718 Pages:1024-1044
  • Hopf Bifurcation and Time Periodic Orbits with pde2path – Algorithms and Applications

    Hannes Uecker
    2018-11-09
    48482 3496 Pages:812-852
  • On Linear and Unconditionally Energy Stable Algorithms for Variable Mobility Cahn-Hilliard Type Equation with Logarithmic Flory-Huggins Potential

    Xiaofeng Yang, Jia Zhao
    2018-11-09
    50256 3549 Pages:703-728
  • Effective Time Step Analysis of a Nonlinear Convex Splitting Scheme for the Cahn–Hilliard Equation

    Seunggyu Lee, Junseok Kim
    2018-10-11
    44661 3483 Pages:448-460
  • Minimum Energy Conformations of Self-Interacting Polymer Chains via Multipopulation Genetic Algorithms (MpGA)

    Luis Olivares-Quiroz, Marcos A. González-Olvera
    2018-09-17
    47013 3244 Pages:810-829
  • On the Stability and Accuracy of the BGK, MRT and RLB Boltzmann Schemes for the Simulation of Turbulent Flows

    Patrick Nathen, Daniel Gaudlitz, Mathias J. Krause, Nikolaus A. Adams
    2018-08-21
    54139 3308 Pages:846-876
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