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  • 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
    DOI:10.4208/cicp.OA-2024-0157
    6444 481 pp. 729-765
  • A Kernel Based Unconditionally Stable Scheme for Nonlinear Parabolic Partial Differential Equations

    Kaipeng Wang, Andrew Christlieb, Yan Jiang, Mengping Zhang
    2020-11-26
    DOI:10.4208/cicp.OA-2019-0197
    46446 4465 pp. 237-264
  • A Stable Q Compensated Reverse Time Migration Method Based on Excitation Amplitude Imaging Condition

    Qingqing Li, Li-Yun Fu, Weijia Sun, Wei Wei, Wanting Hou
    2020-06-05
    DOI:10.4208/cicp.OA-2018-0075
    51364 4637 pp. 141-166
  • An Efficient and Unconditionally Energy Stable Scheme for Simulating Solid-State Dewetting of Thin Films with Isotropic Surface Energy

    Qiong-Ao Huang, Wei Jiang, Jerry Zhijian Yang
    2019-08-27
    DOI:10.4208/cicp.2019.js60.07
    49024 3585 pp. 1444-1470
  • Dispersion Error Analysis of Stable Node-Based Finite Element Method for the Helmholtz Equation

    Xin Hu, Xiangyang Cui, Qunyi Zhang, Gang Wang, Guangyao Li
    2018-08-21
    DOI:10.4208/cicp.OA-2016-0191
    47184 3638 pp. 795-821
  • Stability Analysis and Structure Preserving Schemes for the Reactive Euler Equations with a New Equation of State

    Minghao Sun, Hujian Zuo, Weifeng Zhao, Ping Lin
    2026-05-01
    DOI:10.4208/cicp.OA-2024-0175
    232 55 pp. 1589-1619
  • A Normal Mode Stability Analysis of Numerical Interface Conditions for Fluid/Structure Interaction

    J. W. Banks, B. Sjoegreen
    2011-10-01
    DOI:10.4208/cicp.060210.300910a
    38233 3967 pp. 279-304
  • 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
  • Stability of Finite Difference Discretizations of Multi-Physics Interface Conditions

    Bjoern Sjoegreen, Jeffrey W. Banks
    2018-03-27
    DOI:10.4208/cicp.280711.070212a
    39157 3898 pp. 386-410
  • A New Stable Algorithm to Compute Hankel Transform Using Chebyshev Wavelets

    Rajesh K. Pandey, Vineet K. Singh, Om P. Singh
    2010-08-01
    DOI:10.4208/cicp.050609.211209a
    38618 4396 pp. 351-373
  • 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
  • Stable and Accurate Second-Order Formulation of the Shifted Wave Equation

    Ken Mattsson, Florencia Parisi
    2010-07-01
    DOI:10.4208/cicp.2009.08.135
    42448 4520 pp. 103-137
  • A Weighted Multi-Domain Spectral Penalty Method with Inhomogeneous Grid for Supersonic Injective Cavity Flows

    Wai-Sun Don, David Gottlieb, Jae-Hun Jung
    2009-05-01
    38810 3880 pp. 986-1011
  • Energy-Stable Parametric Finite Element Methods for the Generalized Willmore Flow with Axisymmetric Geometry: Closed Surfaces

    Meng Li, Yifei Li
    2025-08-08
    DOI:10.4208/cicp.OA-2024-0268
    4608 497 pp. 575-602
  • High-Order Accurate Entropy Stable Finite Difference Schemes for the Compressible Euler Equations with the van der Waals Equation of State on Adaptive Moving Meshes

    Shangting Li, Huazhong Tang
    2025-08-08
    DOI:10.4208/cicp.OA-2024-0152
    4737 503 pp. 538-574
  • 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
  • On Energy Stable Runge-Kutta Methods for the Water Wave Equation and Its Simplified Non-Local Hyperbolic Model

    Lei Li, Jian-Guo Liu, Zibu Liu, Yi Yang, Zhennan Zhou
    2022-07-06
    DOI:10.4208/cicp.OA-2021-0049
    43060 3778 pp. 222-258
  • 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 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
  • 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
  • Efficient Time-Stepping/Spectral Methods for the Navier-Stokes-Nernst-Planck-Poisson Equations

    Xiaoling Liu, Chuanju Xu
    2018-04-09
    DOI:10.4208/cicp.191015.260816a
    41990 3414 pp. 1408-1428
  • Nonconforming Finite Element Method Applied to the Driven Cavity Problem

    Roktaek Lim, Dongwoo Sheen
    2018-04-09
    DOI:10.4208/cicp.OA-2016-0039
    43455 3211 pp. 1012-1038
  • Entropy Stable Scheme on Two-Dimensional Unstructured Grids for Euler Equations

    Deep Ray, Praveen Chandrashekar, Ulrik S. Fjordholm, Siddhartha Mishra
    2020-07-31
    DOI:10.4208/cicp.scpde14.43s
    41263 3354 pp. 1111-1140
  • 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
  • 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
  • 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 Well-Posed and Discretely Stable Perfectly Matched Layer for Elastic Wave Equations in Second Order Formulation

    Kenneth Duru, Gunilla Kreiss
    2012-11-01
    DOI:10.4208/cicp.120210.240511a
    39341 4373 pp. 1643-1672
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