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  • Fluid Structure Interaction Problems: The Necessity of a Well Posed, Stable and Accurate Formulation

    Jan Nordström & Sofia Eriksson
    2010-08-01
    40991 4066 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
    38739 3836 Pages:704-723
  • 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
    1794 126 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
    1689 60 Pages:775-798
  • Modelling of Compressible Multi-Component Two-Phase Flow with Multi-Component Navier Boundary Condition

    Junkai Wang, Qiaolin He
    2024-10-29
    17515 1169 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
    9276 535 Pages:921-941
  • A New Coupled Complex Boundary Method for Bioluminescence Tomography

    Rongfang Gong, Xiaoliang Cheng & Weimin Han
    2018-04-03
    40632 5200 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
    42561 5269 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
    40402 3847 Pages:767-788
  • Double Exchange Model in Triangular Lattice Studied by Truncated Polynomial Expansion Method

    Gui-Ping Zhang
    2011-10-01
    37553 3944 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
    24603 2221 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
    40403 3318 Pages:477-510
  • Efficient and Stable Schemes for the Magnetohydrodynamic Potential Model

    Guo-Dong Zhang, Xiaofeng Yang
    2021-07-01
    48442 3288 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
    47916 3445 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
    47288 3489 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
    50226 3307 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
    50716 3598 Pages:1335-1364
  • Collocation Methods for Cauchy Problems of Elliptic Operators via Conditional Stabilities

    Siqing Li & Leevan Ling
    2019-04-28
    45873 3081 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
    50240 5305 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
    49038 3657 Pages:1024-1044
  • Hopf Bifurcation and Time Periodic Orbits with pde2path – Algorithms and Applications

    Hannes Uecker
    2018-11-09
    48327 3454 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
    50093 3502 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
    44566 3457 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
    46896 3209 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
    53969 3235 Pages:846-876
  • Particle-Based Modeling of Asymmetric Flexible Fibers in Viscous Flows

    Xiufeng Yang & Moubin Liu
    2017-10-02
    45098 4167 Pages:1015-1027
  • Numerical Analysis of Inverse Elasticity Problem with Signorini's Condition

    Cong Zheng, Xiaoliang Cheng & Kewei Liang
    2018-04-04
    40574 3204 Pages:1045-1070
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