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Zhonghua Qiao
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2020 – today
- 2024
- [j44]Tian Qiao, Zhonghua Qiao, Shuyu Sun, Shenggao Zhou:
An unconditionally energy stable linear scheme for Poisson-Nernst-Planck equations. J. Comput. Appl. Math. 443: 115759 (2024) - [j43]Caixia Nan, Zhonghua Qiao, Qian Zhang:
Curvature-Dependent Elastic Bending Total Variation Model for Image Inpainting with the SAV Algorithm. J. Sci. Comput. 101(2): 29 (2024) - [j42]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): 429- (2024) - [j41]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): 2248- (2024) - [j40]Dianming Hou, Lili Ju, Zhonghua Qiao:
Energy-Dissipative Spectral Renormalization Exponential Integrator Method for Gradient Flow Problems. SIAM J. Sci. Comput. 46(6): 3477- (2024) - [i23]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 abs/2406.06272 (2024) - [i22]Yongqiang Cai, Gaohang Chen, Zhonghua Qiao:
Neural Networks Trained by Weight Permutation are Universal Approximators. CoRR abs/2407.01033 (2024) - [i21]Yuwei Fan, Haoran Guan, Zhonghua Qiao:
An improved Shifted CholeskyQR based on columns. CoRR abs/2408.06311 (2024) - 2023
- [j39]Chaoyu Liu, Zhonghua Qiao, Qian Zhang:
Multi-phase image segmentation by the Allen-Cahn Chan-Vese model. Comput. Math. Appl. 141: 207-220 (2023) - [j38]Zhonghua Qiao, Zhenli Xu, Qian Yin, Shenggao Zhou:
Structure-preserving numerical method for Maxwell-Ampère Nernst-Planck model. J. Comput. Phys. 475: 111845 (2023) - [j37]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: 111997 (2023) - [j36]Dianming Hou, Zhonghua Qiao:
An Implicit-Explicit Second-Order BDF Numerical Scheme with Variable Steps for Gradient Flows. J. Sci. Comput. 94(2): 39 (2023) - [j35]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): 2515-2542 (2023) - [j34]Zhonghua Qiao, Zhenli Xu, Qian Yin, Shenggao Zhou:
A Maxwell-Ampère Nernst-Planck Framework for Modeling Charge Dynamics. SIAM J. Appl. Math. 83(2): 374-393 (2023) - [j33]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): 144-168 (2023) - [j32]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): 2695-2717 (2023) - [i20]Jianbo Cui, Dianming Hou, Zhonghua Qiao:
Energy regularized models for logarithmic SPDEs and their numerical approximations. CoRR abs/2303.05003 (2023) - [i19]Chaoyu Liu, Zhonghua Qiao, Chao Li, Carola-Bibiane Schönlieb:
Inverse Evolution Layers: Physics-informed Regularizers for Deep Neural Networks. CoRR abs/2307.07344 (2023) - [i18]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 abs/2309.02657 (2023) - [i17]Dianming Hou, Lili Ju, Zhonghua Qiao:
Energy-dissipative spectral renormalization exponential integrator method for gradient flow problems. CoRR abs/2310.00824 (2023) - [i16]Zhonghua Qiao, Zhenli Xu, Qian Yin, Shenggao Zhou:
Local Structure-Preserving Relaxation Method for Charged Systems on Unstructured Meshes. CoRR abs/2310.05411 (2023) - [i15]Dianming Hou, Zhonghua Qiao, Lili Ju:
A linear doubly stabilized Crank-Nicolson scheme for the Allen-Cahn equation with a general mobility. CoRR abs/2310.19663 (2023) - 2022
- [j31]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): 66 (2022) - [j30]Lili Ju, Xiao Li, Zhonghua Qiao:
Generalized SAV-Exponential Integrator Schemes for Allen-Cahn Type Gradient Flows. SIAM J. Numer. Anal. 60(4): 1905-1931 (2022) - [j29]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): 177- (2022) - [i14]Lili Ju, Xiao Li, Zhonghua Qiao:
Generalized SAV-exponential integrator schemes for Allen-Cahn type gradient flows. CoRR abs/2203.04532 (2022) - [i13]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 abs/2203.06829 (2022) - [i12]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 abs/2203.09036 (2022) - [i11]Chaoyu Liu, Zhonghua Qiao, Qian Zhang:
Multi-phase image segmentation by the Allen-Cahn Chan-Vese model. CoRR abs/2203.14233 (2022) - [i10]Dianming Hou, Zhonghua Qiao:
An implicit-explicit second order BDF numerical scheme with variable steps for gradient flows. CoRR abs/2204.00233 (2022) - [i9]Zhonghua Qiao, Zhenli Xu, Qian Yin, Shenggao Zhou:
Structure-preserving numerical method for Ampere-Nernst-Planck model. CoRR abs/2204.11743 (2022) - [i8]Dianming Hou, Zhonghua Qiao:
A linear adaptive BDF2 scheme for phase field crystal equation. CoRR abs/2206.07625 (2022) - [i7]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 abs/2209.03647 (2022) - [i6]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 abs/2210.11678 (2022) - [i5]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 abs/2211.00852 (2022) - 2021
- [j28]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: 110405 (2021) - [j27]Zhonghua Qiao, Xuguang Yang, Yuze Zhang:
A Novel Lattice Boltzmann Model for Fourth Order Nonlinear Partial Differential Equations. J. Sci. Comput. 87(2): 51 (2021) - [j26]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): 171-188 (2021) - [j25]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): 317-359 (2021) - [i4]Zhonghua Qiao, Qian Zhang:
Two-phase image segmentation by the Allen-Cahn equation and a nonlocal edge detection operator. CoRR abs/2104.08992 (2021) - [i3]Chaoyu Liu, Zhonghua Qiao, Qian Zhang:
Two-phase segmentation for intensity inhomogeneous images by the Allen-Cahn Local Binary Fitting Model. CoRR abs/2109.11262 (2021) - 2020
- [j24]Xiaolin Fan, Zhonghua Qiao, Shuyu Sun:
Unconditionally stable, efficient and robust numerical simulation of isothermal compositional grading by gravity. J. Comput. Sci. 43: 101109 (2020) - [i2]Qiang Du, Lili Ju, Xiao Li, Zhonghua Qiao:
Maximum bound principles for a class of semilinear parabolic equations and exponential time differencing schemes. CoRR abs/2005.11465 (2020) - [i1]Lili Ju, Xiao Li, Zhonghua Qiao, Jiang Yang:
Maximum bound principle preserving integrating factor Runge-Kutta methods for semilinear parabolic equations. CoRR abs/2010.12165 (2020)
2010 – 2019
- 2019
- [j23]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): 154-185 (2019) - [j22]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): 875-898 (2019) - 2018
- [j21]Qiang Du, Lili Ju, Xiao Li, Zhonghua Qiao:
Stabilized linear semi-implicit schemes for the nonlocal Cahn-Hilliard equation. J. Comput. Phys. 363: 39-54 (2018) - [j20]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): 1859-1885 (2018) - 2017
- [j19]Dong Li, Zhonghua Qiao:
On Second Order Semi-implicit Fourier Spectral Methods for 2D Cahn-Hilliard Equations. J. Sci. Comput. 70(1): 301-341 (2017) - [j18]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): 265-285 (2017) - [j17]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) - 2016
- [j16]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: 225-244 (2016) - [j15]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): 1653-1681 (2016) - [c1]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: 1364-1373 - 2015
- [j14]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): 653-674 (2015) - [j13]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): 184-205 (2015) - 2014
- [j12]Hao Dong, Zhonghua Qiao, Shuyu Sun, Tao Tang:
Adaptive moving grid methods for two-phase flow in porous media. J. Comput. Appl. Math. 265: 139-150 (2014) - [j11]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) - 2013
- [j10]Zhengru Zhang, Yuan Ma, Zhonghua Qiao:
An adaptive time-stepping strategy for solving the phase field crystal model. J. Comput. Phys. 249: 204-215 (2013) - [j9]Hong-Ru Chen, Shao-Chun Chen, Zhonghua Qiao:
C0-Nonconforming Triangular Prism Elements for the Three-Dimensional Fourth Order Elliptic Problem. J. Sci. Comput. 55(3): 645-658 (2013) - [j8]Hong-Ru Chen, Shaochun Chen, Zhonghua Qiao:
C0-nonconforming tetrahedral and cuboid elements for the three-dimensional fourth order elliptic problem. Numerische Mathematik 124(1): 99-119 (2013) - 2012
- [j7]Chenliang Li, Zhonghua Qiao:
A Fast Preconditioned Iterative Algorithm for the Electromagnetic Scattering from a Large Cavity. J. Sci. Comput. 53(2): 435-450 (2012) - [j6]Zhenning Cai, Ruo Li, Zhonghua Qiao:
NRxx Simulation of Microflows with Shakhov Model. SIAM J. Sci. Comput. 34(1) (2012) - 2011
- [j5]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): 1-19 (2011) - [j4]Zhonghua Qiao, Zhengru Zhang, Tao Tang:
An Adaptive Time-Stepping Strategy for the Molecular Beam Epitaxy Models. SIAM J. Sci. Comput. 33(3): 1395-1414 (2011)
2000 – 2009
- 2008
- [j3]Kazufumi Ito, Zhonghua Qiao:
A high order compact MAC finite difference scheme for the Stokes equations: Augmented variable approach. J. Comput. Phys. 227(17): 8177-8190 (2008) - [j2]Kazufumi Ito, Zhonghua Qiao, Jari Toivanen:
A domain decomposition solver for acoustic scattering by elastic objects in layered media. J. Comput. Phys. 227(19): 8685-8698 (2008) - 2007
- [j1]Zhilin Li, C. V. Pao, Zhonghua Qiao:
A Finite Difference Method and Analysis for 2D Nonlinear Poisson-Boltzmann Equations. J. Sci. Comput. 30(1): 61-81 (2007)
Coauthor Index
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