Stability and convergence of Strang splitting. Part I: Scalar Allen-Cahn equation

被引:0
|
作者
Li, Dong [1 ]
Quan, Chaoyu [2 ]
Xu, Jiao [2 ]
机构
[1] SUSTech International Center for Mathematics, Department of Mathematics, Southern University of Science and Technology, Shenzhen, China
[2] SUSTech International Center for Mathematics, Southern University of Science and Technology, Shenzhen, China
关键词
D O I
暂无
中图分类号
学科分类号
摘要
引用
收藏
相关论文
共 50 条
  • [1] Stability and convergence of Strang splitting. Part I: Scalar Allen-Cahn equation
    Li, Dong
    Quan, Chaoyu
    Xu, Jiao
    JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 458
  • [2] Stability and convergence of Strang splitting. Part II: Tensorial Allen-Cahn equations
    Li, Dong
    Quan, Chaoyu
    Xu, Jiao
    JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 454
  • [3] Efficient Second-Order Strang Splitting Scheme with Exponential Integrating Factor for the Scalar Allen-Cahn Equation
    Wu, Chunya
    Zhang, Yuting
    Zhu, Danchen
    Ye, Ying
    Qian, Lingzhi
    ENGINEERING LETTERS, 2023, 31 (02) : 611 - 617
  • [4] Weak convergence rates of splitting schemes for the stochastic Allen-Cahn equation
    Brehier, Charles-Edouard
    Goudenege, Ludovic
    BIT NUMERICAL MATHEMATICS, 2020, 60 (03) : 543 - 582
  • [5] Stability and error estimates of Strang splitting method for the nonlocal ternary conservative Allen-Cahn model
    Weng, Zhifeng
    Zhai, Shuying
    Dai, Weizhong
    Yang, Yanfang
    Mo, Yuchang
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, 441
  • [6] Strong convergence rates of semidiscrete splitting approximations for the stochastic Allen-Cahn equation
    Brehier, Charles-Edouard
    Cui, Jianbo
    Hong, Jialin
    IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 39 (04) : 2096 - 2134
  • [7] MULTIDIMENSIONAL STABILITY OF PLANAR TRAVELING WAVES FOR THE SCALAR NONLOCAL ALLEN-CAHN EQUATION
    Faye, Gregory
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2016, 36 (05) : 2473 - 2496
  • [8] Analysis of the operator splitting scheme for the Allen-Cahn equation
    Weng, Zhifeng
    Tang, Longkun
    NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 2016, 70 (05) : 472 - 483
  • [9] Stability of Planar Waves in the Allen-Cahn Equation
    Matano, Hiroshi
    Nara, Mitsunori
    Taniguchi, Masaharu
    COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2009, 34 (09) : 976 - 1002
  • [10] On the convergence of a fourth order evolution equation to the Allen-Cahn equation
    Karali, Georgia
    Ricciardi, Tonia
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (11) : 4271 - 4281