Hong-lin Liao

Publication Activity (10 Years)

Years Active: 2019-2024
Publications (10 Years): 47

Top Topics

Diffusion Equation

Unbiased Estimator

Energy Dissipation

Error Estimates

Top Venues

J. Sci. Comput.

SIAM J. Numer. Anal.

Commun. Nonlinear Sci. Numer. Simul.

Publications

Jiahe Yue, Hong-lin Liao, Nan Liu
Mesh-robust stability and convergence of variable-step deferred correction methods based on the BDF2 formula. CoRR (2024)
Hong-lin Liao, Xuping Wang
Average energy dissipation rates of explicit exponential Runge-Kutta methods for gradient flow problems. CoRR (2024)
Jiexin Wang, Yuanyuan Kang, Hong-lin Liao
Energy dissipation laws of time filtered BDF methods up to fourth-order for the molecular beam epitaxial equation. Commun. Nonlinear Sci. Numer. Simul. 134 (2024)
Haiqing Zhang, Hong-lin Liao
High-order energy stable variable-step schemes for the time-fractional Cahn-Hilliard model. Math. Comput. Simul. 223 (2024)
Hong-lin Liao, Xiaohan Zhu, Hong Sun
Scheme for Time Fractional Allen-Cahn Model. J. Sci. Comput. 99 (2) (2024)
Bingquan Ji, Hong-lin Liao
Norm Error Analysis of SAV-BDF Schemes for the Incompressible Navier-Stokes Equations. J. Sci. Comput. 100 (1) (2024)
Yuanyuan Kang, Hong-lin Liao, Jindi Wang
An energy stable linear BDF2 scheme with variable time-steps for the molecular beam epitaxial model without slope selection. Commun. Nonlinear Sci. Numer. Simul. 118 (2023)
Hong-lin Liao, Nan Liu, Pin Lyu
Discrete gradient structure of a second-order variable-step method for nonlinear integro-differential models. CoRR (2023)
Hong-lin Liao, Xiaohan Zhu, Hong Sun
scheme for time fractional Allen-Cahn model. CoRR (2023)
Hong-lin Liao, Nan Liu, Pin Lyu
Discrete Gradient Structure of a Second-Order Variable-Step Method for Nonlinear Integro-Differential Models. SIAM J. Numer. Anal. 61 (5) (2023)
Hong-lin Liao, Nan Liu, Xuan Zhao
Asymptotically compatible energy of variable-step fractional BDF2 formula for time-fractional Cahn-Hilliard model. CoRR (2022)
Zhaoyi Li, Hong-lin Liao
Stability of Variable-Step BDF2 and BDF3 Methods. SIAM J. Numer. Anal. 60 (4) (2022)
Xiaohan Zhu, Hong-lin Liao
Asymptotically compatible energy law of the Crank-Nicolson type schemes for time-fractional MBE models. Appl. Math. Lett. 134 (2022)
Hong-lin Liao, Tao Tang, Tao Zhou
Discrete energy analysis of the third-order variable-step BDF time-stepping for diffusion equations. CoRR (2022)
Bingquan Ji, Xiaohan Zhu, Hong-lin Liao
Energy stability of variable-step L1-type schemes for time-fractional Cahn-Hilliard model. CoRR (2022)
Yuanyuan Kang, Hong-lin Liao
Energy Stability of BDF Methods up to Fifth-Order for the Molecular Beam Epitaxial Model Without Slope Selection. J. Sci. Comput. 91 (2) (2022)
Hong-lin Liao, Bingquan Ji, Lin Wang, Zhimin Zhang
Mesh-Robustness of an Energy Stable BDF2 Scheme with Variable Steps for the Cahn-Hilliard Model. J. Sci. Comput. 92 (2) (2022)
Zhaoyi Li, Hong-lin Liao
Stability of variable-step BDF2 and BDF3 methods. CoRR (2022)
Yin Yang, Jindi Wang, Yanping Chen, Hong-lin Liao
norm convergence of variable-step L1 scheme for the time-fractional MBE model with slope selection. J. Comput. Phys. 467 (2022)
Hong-lin Liao, Yuanyuan Kang, Wenzhe Han
Discrete gradient structures of BDF methods up to fifth-order for the phase field crystal model. CoRR (2022)
Yin Yang, Jindi Wang, Yanping Chen, Hong-lin Liao
norm convergence of variable-step L1 scheme for the time-fractional MBE mobel with slope selection. CoRR (2022)
Hong-lin Liao, Tao Tang, Tao Zhou
An Energy Stable and Maximum Bound Preserving Scheme with Variable Time Steps for Time Fractional Allen-Cahn Equation. SIAM J. Sci. Comput. 43 (5) (2021)
Xin Li, Hong-lin Liao, Luming Zhang
A second-order fast compact scheme with unequal time-steps for subdiffusion problems. Numer. Algorithms 86 (3) (2021)
Hong-lin Liao, Zhimin Zhang
Analysis of adaptive BDF2 scheme for diffusion equations. Math. Comput. 90 (329) (2021)
Hong-lin Liao, Xiaohan Zhu, Jindi Wang
The variable-step L1 scheme preserving a compatible energy law for time-fractional Allen-Cahn equation. CoRR (2021)
Hong-lin Liao, Bingquan Ji, Lin Wang, Zhimin Zhang
Mesh-robustness of the variable steps BDF2 method for the Cahn-Hilliard model. CoRR (2021)
Jincheng Ren, Hong-lin Liao, Jiwei Zhang, Zhimin Zhang
Sharp H1-norm error estimates of two time-stepping schemes for reaction-subdiffusion problems. J. Comput. Appl. Math. 389 (2021)
Hong-lin Liao, Tao Tang, Tao Zhou
On Energy Stable, Maximum-Principle Preserving, Second-Order BDF Scheme with Variable Steps for the Allen-Cahn Equation. SIAM J. Numer. Anal. 58 (4) (2020)
Hong-lin Liao, Bingquan Ji, Luming Zhang
An adaptive BDF2 implicit time-stepping method for the phase field crystal model. CoRR (2020)
Hong-lin Liao, Tao Tang, Tao Zhou
Positive definiteness of real quadratic forms resulting from the variable-step approximation of convolution operators. CoRR (2020)
Xin Li, Luming Zhang, Hong-lin Liao
-norm error estimate of a cosine pseudo-spectral scheme for 2D reaction-subdiffusion equations. Numer. Algorithms 83 (3) (2020)
Bingquan Ji, Hong-lin Liao, Luming Zhang
Simple maximum principle preserving time-stepping methods for time-fractional Allen-Cahn equation. Adv. Comput. Math. 46 (2) (2020)
Bingquan Ji, Hong-lin Liao, Yuezheng Gong, Luming Zhang
Adaptive Second-Order Crank-Nicolson Time-Stepping Schemes for Time-Fractional Molecular Beam Epitaxial Growth Models. SIAM J. Sci. Comput. 42 (3) (2020)
Hong-lin Liao, Xuehua Song, Tao Tang, Tao Zhou
Analysis of the second order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection. CoRR (2020)
Jincheng Ren, Hong-lin Liao, Zhimin Zhang
Superconvergence Error Estimate of a Finite Element Method on Nonuniform Time Meshes for Reaction-Subdiffusion Equations. J. Sci. Comput. 84 (2) (2020)
Hong-lin Liao, Tao Tang, Tao Zhou
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations. J. Comput. Phys. 414 (2020)
Hong-lin Liao, Tao Tang, Tao Zhou
On energy stable, maximum-principle preserving, second order BDF scheme with variable steps for the Allen-Cahn equation. CoRR (2020)
Hong-lin Liao, Tao Tang, Tao Zhou
An energy stable and maximum bound preserving scheme with variable time steps for time fractional Allen-Cahn equation. CoRR (2020)
Bingquan Ji, Hong-lin Liao, Yuezheng Gong, Luming Zhang
Adaptive linear second-order energy stable schemes for time-fractional Allen-Cahn equation with volume constraint. Commun. Nonlinear Sci. Numer. Simul. 90 (2020)
Bingquan Ji, Hong-lin Liao, Luming Zhang
Simple maximum-principle preserving time-stepping methods for time-fractional Allen-Cahn equation. CoRR (2019)
Hong-lin Liao, Tao Tang, Tao Zhou
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations. CoRR (2019)
Bingquan Ji, Hong-lin Liao, Yuezheng Gong, Luming Zhang
Adaptive linear second-order energy stable schemes for time-fractional Allen-Cahn equation with volume constraint. CoRR (2019)
Hong-lin Liao, William McLean, Jiwei Zhang
A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems. SIAM J. Numer. Anal. 57 (1) (2019)
Bingquan Ji, Hong-lin Liao, Yuezheng Gong, Luming Zhang
Adaptive second-order Crank-Nicolson time-stepping schemes for time fractional molecular beam epitaxial growth models. CoRR (2019)
Jialing Zhong, Hong-lin Liao, Bingquan Ji, Luming Zhang
A fourth-order compact solver for fractional-in-time fourth-order diffusion equations. CoRR (2019)
Hong-lin Liao, Zhimin Zhang
Analysis of adaptive BDF2 scheme for diffusion equations. CoRR (2019)
Hong-lin Liao, Yonggui Yan, Jiwei Zhang
Unconditional Convergence of a Fast Two-Level Linearized Algorithm for Semilinear Subdiffusion Equations. J. Sci. Comput. 80 (1) (2019)