Hong-Lin Liao
Orcid: 0000-0003-0777-6832Affiliations:
- Nanjing University of Aeronautics and Astronautics, Department of Mathematics, China
- Southeast University, Department of Mathematics, Nanjing, China (PhD)
According to our database1,
Hong-Lin Liao
authored at least 47 papers
between 2006 and 2024.
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Bibliography
2024
Mesh-robust stability and convergence of variable-step deferred correction methods based on the BDF2 formula.
CoRR, 2024
2023
Discrete Gradient Structure of a Second-Order Variable-Step Method for Nonlinear Integro-Differential Models.
SIAM J. Numer. Anal., October, 2023
An energy stable linear BDF2 scheme with variable time-steps for the molecular beam epitaxial model without slope selection.
Commun. Nonlinear Sci. Numer. Simul., April, 2023
Asymptotically compatible energy and dissipation law of the nonuniform L2-1<sub>σ</sub> scheme for time fractional Allen-Cahn model.
CoRR, 2023
2022
Mesh-Robustness of an Energy Stable BDF2 Scheme with Variable Steps for the Cahn-Hilliard Model.
J. Sci. Comput., 2022
Energy Stability of BDF Methods up to Fifth-Order for the Molecular Beam Epitaxial Model Without Slope Selection.
J. Sci. Comput., 2022
Compatible <i>L</i><sup>2</sup> norm convergence of variable-step L1 scheme for the time-fractional MBE model with slope selection.
J. Comput. Phys., 2022
Asymptotically compatible energy of variable-step fractional BDF2 formula for time-fractional Cahn-Hilliard model.
CoRR, 2022
Compatible L<sup>2</sup> norm convergence of variable-step L1 scheme for the time-fractional MBE mobel with slope selection.
CoRR, 2022
Discrete energy analysis of the third-order variable-step BDF time-stepping for diffusion equations.
CoRR, 2022
Energy stability of variable-step L1-type schemes for time-fractional Cahn-Hilliard model.
CoRR, 2022
Discrete gradient structures of BDF methods up to fifth-order for the phase field crystal model.
CoRR, 2022
Asymptotically compatible energy law of the Crank-Nicolson type schemes for time-fractional MBE models.
Appl. Math. Lett., 2022
2021
An Energy Stable and Maximum Bound Preserving Scheme with Variable Time Steps for Time Fractional Allen-Cahn Equation.
SIAM J. Sci. Comput., 2021
A second-order fast compact scheme with unequal time-steps for subdiffusion problems.
Numer. Algorithms, 2021
Sharp H1-norm error estimates of two time-stepping schemes for reaction-subdiffusion problems.
J. Comput. Appl. Math., 2021
The variable-step L1 scheme preserving a compatible energy law for time-fractional Allen-Cahn equation.
CoRR, 2021
CoRR, 2021
CoRR, 2021
2020
Adaptive Second-Order Crank-Nicolson Time-Stepping Schemes for Time-Fractional Molecular Beam Epitaxial Growth Models.
SIAM J. Sci. Comput., 2020
On Energy Stable, Maximum-Principle Preserving, Second-Order BDF Scheme with Variable Steps for the Allen-Cahn Equation.
SIAM J. Numer. Anal., 2020
Sharp H<sup>1</sup>-norm error estimate of a cosine pseudo-spectral scheme for 2D reaction-subdiffusion equations.
Numer. Algorithms, 2020
Superconvergence Error Estimate of a Finite Element Method on Nonuniform Time Meshes for Reaction-Subdiffusion Equations.
J. Sci. Comput., 2020
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations.
J. Comput. Phys., 2020
Positive definiteness of real quadratic forms resulting from the variable-step approximation of convolution operators.
CoRR, 2020
Analysis of the second order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection.
CoRR, 2020
CoRR, 2020
Adaptive linear second-order energy stable schemes for time-fractional Allen-Cahn equation with volume constraint.
Commun. Nonlinear Sci. Numer. Simul., 2020
Simple maximum principle preserving time-stepping methods for time-fractional Allen-Cahn equation.
Adv. Comput. Math., 2020
2019
A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems.
SIAM J. Numer. Anal., 2019
Unconditional Convergence of a Fast Two-Level Linearized Algorithm for Semilinear Subdiffusion Equations.
J. Sci. Comput., 2019
A fourth-order compact solver for fractional-in-time fourth-order diffusion equations.
CoRR, 2019
2018
Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations.
SIAM J. Numer. Anal., 2018
Int. J. Comput. Math., 2018
2017
Stability of fully discrete schemes with interpolation-type fractional formulas for distributed-order subdiffusion equations.
Numer. Algorithms, 2017
2016
2015
A center Box method for radially symmetric solution of fractional subdiffusion equation.
Appl. Math. Comput., 2015
2014
Stability and Convergence of Modified Du Fort-Frankel Schemes for Solving Time-Fractional Subdiffusion Equations.
J. Sci. Comput., 2014
Finite difference methods for the time fractional diffusion equation on non-uniform meshes.
J. Comput. Phys., 2014
Numerical study of fourth-order linearized compact schemes for generalized NLS equations.
Comput. Phys. Commun., 2014
Linearly localized difference schemes for the nonlinear Maxwell model of a magnetic field into a substance.
Appl. Math. Comput., 2014
2013
Int. J. Comput. Math., 2013
2011
Maximum norm error estimates of efficient difference schemes for second-order wave equations.
J. Comput. Appl. Math., 2011
2010
SIAM J. Numer. Anal., 2010
2006
Unconditional Stability of Corrected Explicit-Implicit Domain Decomposition Algorithms for Parallel Approximation of Heat Equations.
SIAM J. Numer. Anal., 2006