Zhonghua Qiao

Publication Activity (10 Years)

Years Active: 2007-2024
Publications (10 Years): 51

Top Topics

Numerical Scheme

Differential Equations

Top Venues

SIAM J. Numer. Anal.

J. Sci. Comput.

J. Comput. Phys.

Publications

Zhonghua Qiao, Zhenli Xu, Qian Yin, Shenggao Zhou
Local Structure-Preserving Relaxation Method for Equilibrium of Charged Systems on Unstructured Meshes. SIAM J. Sci. Comput. 46 (4) (2024)
Tian Qiao, Zhonghua Qiao, Shuyu Sun, Shenggao Zhou
An unconditionally energy stable linear scheme for Poisson-Nernst-Planck equations. J. Comput. Appl. Math. 443 (2024)
Xiao Li, Zhonghua Qiao, Cheng Wang, Nan Zheng
Global-in-time energy stability analysis for the exponential time differencing Runge-Kutta scheme for the phase field crystal equation. CoRR (2024)
Yongqiang Cai, Gaohang Chen, Zhonghua Qiao
Neural Networks Trained by Weight Permutation are Universal Approximators. CoRR (2024)
Xiao Li, Zhonghua Qiao
A Second-Order, Linear, \(\boldsymbol{L^\infty}\)-Convergent, and Energy Stable Scheme for the Phase Field Crystal Equation. SIAM J. Sci. Comput. 46 (1) (2024)
Dianming Hou, Zhonghua Qiao, Lili Ju
A linear doubly stabilized Crank-Nicolson scheme for the Allen-Cahn equation with a general mobility. CoRR (2023)
Limin Ma, Zhonghua Qiao
An Energy Stable and Maximum Bound Principle Preserving Scheme for the Dynamic Ginzburg-Landau Equations under the Temporal Gauge. SIAM J. Numer. Anal. 61 (6) (2023)
Jianbo Cui, Dianming Hou, Zhonghua Qiao
Energy regularized models for logarithmic SPDEs and their numerical approximations. CoRR (2023)
Dianming Hou, Lili Ju, Zhonghua Qiao
A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with a general mobility. Math. Comput. 92 (344) (2023)
Zhonghua Qiao, Zhenli Xu, Qian Yin, Shenggao Zhou
Local Structure-Preserving Relaxation Method for Charged Systems on Unstructured Meshes. CoRR (2023)
Zhonghua Qiao, Zhenli Xu, Qian Yin, Shenggao Zhou
A Maxwell-Ampère Nernst-Planck Framework for Modeling Charge Dynamics. SIAM J. Appl. Math. 83 (2) (2023)
Chaoyu Liu, Zhonghua Qiao, Chao Li, Carola-Bibiane Schönlieb
Inverse Evolution Layers: Physics-informed Regularizers for Deep Neural Networks. CoRR (2023)
Dianming Hou, Zhonghua Qiao
An Implicit-Explicit Second-Order BDF Numerical Scheme with Variable Steps for Gradient Flows. J. Sci. Comput. 94 (2) (2023)
Chaoyu Liu, Zhonghua Qiao, Qian Zhang
An Active Contour Model with Local Variance Force Term and Its Efficient Minimization Solver for Multiphase Image Segmentation. SIAM J. Imaging Sci. 16 (1) (2023)
Xiaoyu Feng, Zhonghua Qiao, Shuyu Sun, Xiuping Wang
An energy-stable Smoothed Particle Hydrodynamics discretization of the Navier-Stokes-Cahn-Hilliard model for incompressible two-phase flows. J. Comput. Phys. 479 (2023)
Dianming Hou, Xiaoli Li, Zhonghua Qiao, Nan Zheng
Energy stable and maximum bound principle preserving schemes for the Q-tensor flow of liquid crystals. CoRR (2023)
Chaoyu Liu, Zhonghua Qiao, Qian Zhang
Multi-phase image segmentation by the Allen-Cahn Chan-Vese model. Comput. Math. Appl. 141 (2023)
Zhonghua Qiao, Zhenli Xu, Qian Yin, Shenggao Zhou
Structure-preserving numerical method for Maxwell-Ampère Nernst-Planck model. J. Comput. Phys. 475 (2023)
Dianming Hou, Lili Ju, Zhonghua Qiao
Energy-dissipative spectral renormalization exponential integrator method for gradient flow problems. CoRR (2023)
Lili Ju, Xiao Li, Zhonghua Qiao
Generalized SAV-Exponential Integrator Schemes for Allen-Cahn Type Gradient Flows. SIAM J. Numer. Anal. 60 (4) (2022)
Dianming Hou, Zhonghua Qiao
A linear adaptive BDF2 scheme for phase field crystal equation. CoRR (2022)
Dianming Hou, Zhonghua Qiao
An implicit-explicit second order BDF numerical scheme with variable steps for gradient flows. CoRR (2022)
Zhonghua Qiao, Zhenli Xu, Qian Yin, Shenggao Zhou
Structure-preserving numerical method for Ampere-Nernst-Planck model. CoRR (2022)
Lili Ju, Xiao Li, Zhonghua Qiao
Stabilized Exponential-SAV Schemes Preserving Energy Dissipation Law and Maximum Bound Principle for The Allen-Cahn Type Equations. J. Sci. Comput. 92 (2) (2022)
Lili Ju, Xiao Li, Zhonghua Qiao
Generalized SAV-exponential integrator schemes for Allen-Cahn type gradient flows. CoRR (2022)
Chaoyu Liu, Zhonghua Qiao, Qian Zhang
An Active Contour Model with Local Variance Force Term and Its Efficient Minimization Solver for Multi-phase Image Segmentation. CoRR (2022)
Xiao Li, Zhonghua Qiao, Cheng Wang
Double stabilizations and convergence analysis of a second-order linear numerical scheme for the nonlocal Cahn-Hilliard equation. CoRR (2022)
Chaoyu Liu, Zhonghua Qiao, Qian Zhang
Multi-phase image segmentation by the Allen-Cahn Chan-Vese model. CoRR (2022)
Limin Ma, Zhonghua Qiao
Energy stability and error estimates of a maximum bound principle preserving scheme for the dynamic Ginzburg-Landau equations of superconductivity. CoRR (2022)
Dianming Hou, Lili Ju, Zhonghua Qiao
A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with general mobility. CoRR (2022)
Chaoyu Liu, Zhonghua Qiao, Qian Zhang
Two-Phase Segmentation for Intensity Inhomogeneous Images by the Allen-Cahn Local Binary Fitting Model. SIAM J. Sci. Comput. 44 (1) (2022)
Lili Ju, Xiao Li, Zhonghua Qiao
Stabilized exponential-SAV schemes preserving energy dissipation law and maximum bound principle for the Allen-Cahn type equations. CoRR (2022)
Chaoyu Liu, Zhonghua Qiao, Qian Zhang
Two-phase segmentation for intensity inhomogeneous images by the Allen-Cahn Local Binary Fitting Model. CoRR (2021)
Zhonghua Qiao, Xuguang Yang, Yuze Zhang
A Novel Lattice Boltzmann Model for Fourth Order Nonlinear Partial Differential Equations. J. Sci. Comput. 87 (2) (2021)
Xiao Li, Zhonghua Qiao, Cheng Wang
Convergence analysis for a stabilized linear semi-implicit numerical scheme for the nonlocal Cahn-Hilliard equation. Math. Comput. 90 (327) (2021)
Qiang Du, Lili Ju, Xiao Li, Zhonghua Qiao
Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes. SIAM Rev. 63 (2) (2021)
Zhonghua Qiao, Qian Zhang
Two-phase image segmentation by the Allen-Cahn equation and a nonlocal edge detection operator. CoRR (2021)
Lili Ju, Xiao Li, Zhonghua Qiao, Jiang Yang
Maximum bound principle preserving integrating factor Runge-Kutta methods for semilinear parabolic equations. J. Comput. Phys. 439 (2021)
Qiang Du, Lili Ju, Xiao Li, Zhonghua Qiao
Maximum bound principles for a class of semilinear parabolic equations and exponential time differencing schemes. CoRR (2020)
Lili Ju, Xiao Li, Zhonghua Qiao, Jiang Yang
Maximum bound principle preserving integrating factor Runge-Kutta methods for semilinear parabolic equations. CoRR (2020)
Xiaolin Fan, Zhonghua Qiao, Shuyu Sun
Unconditionally stable, efficient and robust numerical simulation of isothermal compositional grading by gravity. J. Comput. Sci. 43 (2020)
Kelong Cheng, Zhonghua Qiao, Cheng Wang
A Third Order Exponential Time Differencing Numerical Scheme for No-Slope-Selection Epitaxial Thin Film Model with Energy Stability. J. Sci. Comput. 81 (1) (2019)
Qiang Du, Lili Ju, Xiao Li, Zhonghua Qiao
Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen-Cahn Equation. SIAM J. Numer. Anal. 57 (2) (2019)
Lili Ju, Xiao Li, Zhonghua Qiao, Hui Zhang
Energy stability and error estimates of exponential time differencing schemes for the epitaxial growth model without slope selection. Math. Comput. 87 (312) (2018)
Qiang Du, Lili Ju, Xiao Li, Zhonghua Qiao
Stabilized linear semi-implicit schemes for the nonlocal Cahn-Hilliard equation. J. Comput. Phys. 363 (2018)
Dong Li, Zhonghua Qiao
On Second Order Semi-implicit Fourier Spectral Methods for 2D Cahn-Hilliard Equations. J. Sci. Comput. 70 (1) (2017)
Xiao Li, Zhonghua Qiao, Hui Zhang
Convergence of a Fast Explicit Operator Splitting Method for the Epitaxial Growth Model with Slope Selection. SIAM J. Numer. Anal. 55 (1) (2017)
Xiaolin Fan, Jisheng Kou, Zhonghua Qiao, Shuyu Sun
A Componentwise Convex Splitting Scheme for Diffuse Interface Models with Van der Waals and Peng-Robinson Equations of State. SIAM J. Sci. Comput. 39 (1) (2017)
Dong Li, Zhonghua Qiao, Tao Tang
Characterizing the Stabilization Size for Semi-Implicit Fourier-Spectral Method to Phase Field Equations. SIAM J. Numer. Anal. 54 (3) (2016)
Xiaolin Fan, Jisheng Kou, Zhonghua Qiao, Shuyu Sun
Modeling Pore-Scale Oil-Gas Systems Using Gradient Theory with Peng-Robinson Equation of State. ICCS (2016)
Zhicheng Hu, Ruo Li, Zhonghua Qiao
Acceleration for microflow simulations of high-order moment models by using lower-order model correction. J. Comput. Phys. 327 (2016)
Zhonghua Qiao, Tao Tang, Hehu Xie
Error Analysis of a Mixed Finite Element Method for the Molecular Beam Epitaxy Model. SIAM J. Numer. Anal. 53 (1) (2015)
Zhonghua Qiao, Zhi-Zhong Sun, Zhengru Zhang
Stability and convergence of second-order schemes for the nonlinear epitaxial growth model without slope selection. Math. Comput. 84 (292) (2015)
Zhonghua Qiao, Shuyu Sun
Two-Phase Fluid Simulation Using a Diffuse Interface Model with Peng-Robinson Equation of State. SIAM J. Sci. Comput. 36 (4) (2014)
Hao Dong, Zhonghua Qiao, Shuyu Sun, Tao Tang
Adaptive moving grid methods for two-phase flow in porous media. J. Comput. Appl. Math. 265 (2014)
Zhengru Zhang, Yuan Ma, Zhonghua Qiao
An adaptive time-stepping strategy for solving the phase field crystal model. J. Comput. Phys. 249 (2013)
Hong-Ru Chen, Shao-Chun Chen, Zhonghua Qiao
-Nonconforming Triangular Prism Elements for the Three-Dimensional Fourth Order Elliptic Problem. J. Sci. Comput. 55 (3) (2013)
Hong-Ru Chen, Shaochun Chen, Zhonghua Qiao
-nonconforming tetrahedral and cuboid elements for the three-dimensional fourth order elliptic problem. Numerische Mathematik 124 (1) (2013)
Chenliang Li, Zhonghua Qiao
A Fast Preconditioned Iterative Algorithm for the Electromagnetic Scattering from a Large Cavity. J. Sci. Comput. 53 (2) (2012)
Zhenning Cai, Ruo Li, Zhonghua Qiao
NRxx Simulation of Microflows with Shakhov Model. SIAM J. Sci. Comput. 34 (1) (2012)
Zhonghua Qiao, Zhengru Zhang, Tao Tang
An Adaptive Time-Stepping Strategy for the Molecular Beam Epitaxy Models. SIAM J. Sci. Comput. 33 (3) (2011)
Zhonghua Qiao, Changhui Yao, Shanghui Jia
Superconvergence and Extrapolation Analysis of a Nonconforming Mixed Finite Element Approximation for Time-Harmonic Maxwell's Equations. J. Sci. Comput. 46 (1) (2011)
Kazufumi Ito, Zhonghua Qiao
A high order compact MAC finite difference scheme for the Stokes equations: Augmented variable approach. J. Comput. Phys. 227 (17) (2008)
Kazufumi Ito, Zhonghua Qiao, Jari Toivanen
A domain decomposition solver for acoustic scattering by elastic objects in layered media. J. Comput. Phys. 227 (19) (2008)
Zhilin Li, C. V. Pao, Zhonghua Qiao
A Finite Difference Method and Analysis for 2D Nonlinear Poisson-Boltzmann Equations. J. Sci. Comput. 30 (1) (2007)