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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
    DOI:10.4208/cicp.OA-2018-0100
    49556 3195 pp. 1224-1248
  • 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
    DOI:10.4208/cicp.OA-2023-0254
    2071 176 pp. 815-854
  • 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
    DOI:10.4208/cicp.OA-2020-0074
    47424 3536 pp. 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
    DOI:10.4208/cicp.OA-2018-0015
    49134 3718 pp. 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
    DOI:10.4208/cicp.2019.js60.10
    50877 3663 pp. 1335-1364
  • Kinetic Energy Preserving and Entropy Stable Finite Volume Schemes for Compressible Euler and Navier-Stokes Equations

    Praveen Chandrashekar
    2013-11-05
    DOI:10.4208/cicp.170712.010313a
    40487 4478 pp. 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
    DOI:10.4208/cicp.OA-2016-0197
    51837 3369 pp. 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
    DOI:10.4208/cicp.121110.030611a
    39317 4238 pp. 1673-1696
  • An Adaptive Time-Stepping Strategy for the Cahn-Hilliard Equation

    Zhengru Zhang, Zhonghua Qiao
    2020-07-31
    DOI:10.4208/cicp.300810.140411s
    41801 4353 pp. 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
    DOI:10.4208/cicp.OA-2018-0034
    50368 5375 pp. 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
    DOI:10.4208/cicp.OA-2023-0191
    26533 2290 pp. 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
    DOI:10.4208/cicp.OA-2017-0074
    67902 5550 pp. 123-151
  • An Efficient, Energy Stable Scheme for the Cahn-Hilliard-Brinkman System

    Craig Collins, Jie Shen, Steven M. Wise
    2013-08-05
    DOI:10.4208/cicp.171211.130412a
    44115 4296 pp. 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
    DOI:10.4208/cicp.OA-2024-0053
    9430 588 pp. 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
    DOI:10.4208/cicp.260614.061115a
    42451 4796 pp. 188-233
  • Stable and Efficient Modeling of Anelastic Attenuation in Seismic Wave Propagation

    N. Anders Petersson, Bjoern Sjoegreen
    2012-12-01
    DOI:10.4208/cicp.201010.090611a
    40957 4584 pp. 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
    DOI:10.4208/cicp.OA-2024-0016
    3747 360 pp. 1210-1236
  • 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
    DOI:10.4208/cicp.OA-2024-0283
    167 41 pp. 199-238
  • Numerical Approximations of Phase Field Models Using a General Class of Linear Time-Integration Schemes

    Lizhen Chen, Zengyan Zhang, Jia Zhao
    2021-10-26
    DOI:10.4208/cicp.OA-2020-0244
    46767 3345 pp. 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
    DOI:10.4208/cicp.OA-2020-0032
    48019 3482 pp. 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
    DOI:10.4208/cicp.OA-2019-0175
    50340 3350 pp. 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
    DOI:10.4208/cicp.OA-2020-0050
    47157 4566 pp. 1-56
  • Stabilized Predictor-Corrector Schemes for Gradient Flows with Strong Anisotropic Free Energy

    Jie Shen, Jie Xu
    2018-09-17
    DOI:10.4208/cicp.OA-2017-0209
    48242 4846 pp. 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
    DOI:10.4208/cicp.OA-2019-0063
    49802 3713 pp. 1505-1529
  • Three-Phase Model of Visco-Elastic Incompressible Fluid Flow and Its Computational Implementation

    Shixin Xu, Mark Alber, Zhiliang Xu
    2018-10-11
    DOI:10.4208/cicp.OA-2017-0167
    48736 3452 pp. 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
    DOI:10.4208/cicp.OA-2020-0036
    47831 3014 pp. 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
    DOI:10.4208/cicp.2019.js60.06
    48132 3472 pp. 1597-1616
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