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  • 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
  • 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
    47156 3442 Pages:905-929
  • A Novel Second-Order Scheme for the Molecular Beam Epitaxy Model with Slope Selection

    Lizhen Chen, Jia Zhao & Yuezheng Gong
    2018-12-08
    48949 3633 Pages:1024-1044
  • 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
    50564 3535 Pages:1335-1364
  • Kinetic Energy Preserving and Entropy Stable Finite Volume Schemes for Compressible Euler and Navier-Stokes Equations

    Praveen Chandrashekar
    2013-11-05
    40176 4353 Pages:1252-1286
  • 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
  • New Energy-Conserved Identities and Super-Convergence of the Symmetric EC-S-FDTD Scheme for Maxwell's Equations in 2D

    Liping Gao & Dong Liang
    2012-11-01
    39171 4188 Pages:1673-1696
  • An Adaptive Time-Stepping Strategy for the Cahn-Hilliard Equation

    Zhengru Zhang & Zhonghua Qiao
    2020-07-31
    41629 4270 Pages:1261-1278
  • Semi-Implicit Spectral Deferred Correction Method Based on the Invariant Energy Quadratization Approach for Phase Field Problems

    Ruihan Guo & Yan Xu
    2019-02-25
    50135 5247 Pages:87-113
  • A Second-Order Length-Preserving and Unconditionally Energy Stable Rotational Discrete Gradient Method for Oseen-Frank Gradient Flows

    Jie Xu, Xiaotian Yang, Zhiguo Yang
    2024-03-13
    26317 2185 Pages:369-394
  • A High Order Adaptive Time-Stepping Strategy and Local Discontinuous Galerkin Method for the Modified Phase Field Crystal Equation

    Ruihan Guo & Yan Xu
    2018-09-17
    67668 5387 Pages:123-151
  • An Efficient, Energy Stable Scheme for the Cahn-Hilliard-Brinkman System

    Craig Collins, Jie Shen & Steven M. Wise
    2013-08-05
    43930 4239 Pages:929-957
  • 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
  • An All-Regime Lagrange-Projection Like Scheme for the Gas Dynamics Equations on Unstructured Meshes

    Christophe Chalons, Mathieu Girardin & Samuel Kokh
    2018-04-04
    42292 4674 Pages:188-233
  • Stable and Efficient Modeling of Anelastic Attenuation in Seismic Wave Propagation

    N. Anders Petersson & Björn Sjögreen
    2012-12-01
    40780 4447 Pages:193-225
  • A Class of Second-Order Energy-Stable Schemes for the Cahn-Hilliard Equation and Their Linear Iteration Algorithm

    Xiaohan Zhu, Yuezheng Gong, Yushun Wang
    2025-09-05
    3420 288 Pages:1210-1236
  • Numerical Approximations of Phase Field Models Using a General Class of Linear Time-Integration Schemes

    Lizhen Chen, Zengyan Zhang, Jia Zhao
    2021-10-26
    46570 3294 Pages:1290-1322
  • A Decoupled Energy Stable Adaptive Finite Element Method for Cahn–Hilliard–Navier–Stokes Equations

    Yaoyao Chen, Yunqing Huang, Nianyu Yi
    2021-02-25
    47818 3389 Pages:1186-1212
  • 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
  • High Order Conservative Semi-Lagrangian Scheme for the BGK Model of the Boltzmann Equation

    Sebastiano Boscarino, Seung-Yeon Cho, Giovanni Russo, Seok-Bae Yun
    2020-11-26
    46890 4389 Pages:1-56
  • Stabilized Predictor-Corrector Schemes for Gradient Flows with Strong Anisotropic Free Energy

    Jie Shen & Jie Xu
    2018-09-17
    48019 4743 Pages:635-654 Open-access
  • Unconditional Positivity-Preserving and Energy Stable Schemes for a Reduced Poisson-Nernst-Planck System

    Hailiang Liu, Wumaier Maimaitiyiming
    2020-05-06
    49576 3616 Pages:1505-1529
  • Three-Phase Model of Visco-Elastic Incompressible Fluid Flow and Its Computational Implementation

    Shixin Xu, Mark Alber & Zhiliang Xu
    2018-10-11
    48516 3387 Pages:586-624
  • An Efficient Finite Element Method with Exponential Mesh Refinement for the Solution of the Allen-Cahn Equation in Non-Convex Polygons

    Emine Celiker, Ping Lin
    2020-08-27
    47626 2950 Pages:1536-1560
  • A New Multi-Component Diffuse Interface Model with Peng-Robinson Equation of State and Its Scalar Auxiliary Variable (SAV) Approach

    Zhonghua Qiao, Shuyu Sun, Tao Zhang, Yuze Zhang
    2019-08-27
    47897 3421 Pages:1597-1616
  • An Interface-Capturing Method for Resolving Compressible Two-Fluid Flows with General Equation of State

    T. S. Lee, J. G. Zheng & S. H. Winoto
    2020-07-30
    38671 4027 Pages:1137-1162
  • Decoupled, Energy Stable Numerical Scheme for the Cahn-Hilliard-Hele-Shaw System with Logarithmic Flory-Huggins Potential

    Hong-En Jia, Ya-Yu Guo, Ming Li, Yunqing Huang, Guo-Rui Feng
    2020-02-23
    48379 3215 Pages:1053-1075
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