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Zhonghua Qiao

  1. Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation
    2019/01/01 by Qiang Du, Lili Ju, Xiao Li +1 · 15 citations
    Mathematics · Materials Science · Computer Science · #Differential Equations and Numerical Methods #Solidification and crystal growth phenomena #Advanced Mathematical Modeling in Engineering
  2. Maximum bound principles for a class of semilinear parabolic equations and exponential time differencing schemes
    2020/05/23 by Qiang Du, Du, Qiang, Lili Ju +5 · 8 citations
    Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Numerical Analysis (math.NA) #Stability and Controllability of Differential Equations
  3. Maximum principle preserving exponential time differencing schemes for the nonlocal Allen-Cahn equation
    2019/02/13 by Qiang Du, Lili Ju, Du, Qiang +5 · 4 citations
    Computer Science · Materials Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Solidification and crystal growth phenomena
  4. Two-phase segmentation for intensity inhomogeneous images by the Allen-Cahn Local Binary Fitting Model
    2021/09/23 by Chaoyu liu, Zhonghua Qiao, liu, Chaoyu +3 · 3 citations
    Computer Science · Mathematics · Engineering · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Advanced Numerical Methods in Computational Mathematics
  5. A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with a general mobility
    2022/11/02 by Dianming Hou, Lili Ju, Hou, Dianming +3 · 4 citations
    Materials Science · Mathematics · #41A05 #41A25 #65M06 #65M15 #Differential Equations and Numerical Methods #FOS: Mathematics #G.1.8 #Numerical Analysis (math.NA) #Numerical methods for differential equations #Solidification and crystal growth phenomena
  6. Stabilized exponential-SAV schemes preserving energy dissipation law and maximum bound principle for the Allen-Cahn type equations
    2022/03/14 by Lili Ju, Ju, Lili, Xiao Li +3 · 2 citations
    Engineering · Materials Science · Mathematics · #Differential Equations and Numerical Methods #FOS: Mathematics #Fluid Dynamics and Thin Films #Numerical Analysis (math.NA) #Solidification and crystal growth phenomena
  7. Two-phase image segmentation by the Allen-Cahn equation and a nonlocal edge detection operator
    2021/04/19 by Zhonghua Qiao, Qian Zhang, Qiao, Zhonghua +1 · 1 citation
    Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Composite Material Mechanics #FOS: Mathematics #Numerical Analysis (math.NA)
  8. A linear doubly stabilized Crank-Nicolson scheme for the Allen-Cahn equation with a general mobility
    2023/10/30 by Dianming Hou, Hou, Dianming, Zhonghua Qiao +3 · 2 citations
    Computer Science · Materials Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Solidification and crystal growth phenomena
  9. Energy stable and maximum bound principle preserving schemes for the Q-tensor flow of liquid crystals
    2023/09/06 by Dianming Hou, Xiaoli Li, Hou, Dianming +5 · 1 citation
    Engineering · Mathematics · #FOS: Mathematics #Fluid Dynamics and Vibration Analysis #Lattice Boltzmann Simulation Studies #Numerical Analysis (math.NA) #Tensor decomposition and applications
  10. Energy-dissipative spectral renormalization exponential integrator method for gradient flow problems
    2023/10/02 by Dianming Hou, Lili Ju, Hou, Dianming +3 · 1 citation
    Mathematics · Physics and Astronomy · #Numerical methods for differential equations #Model Reduction and Neural Networks #Fractional Differential Equations Solutions
  11. An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces
    2026/07/18 by Zhonghua Qiao, Yifan Wei, Xianmin Xu
    #physics.flu-dyn #math-ph #math.MP