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ORCIDHong-Lin Liao
Person information
- affiliation: Nanjing University of Aeronautics and Astronautics, Department of Mathematics, China
- affiliation (PhD): Southeast University, Department of Mathematics, Nanjing, China
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2020 – today
- 2024
[i23]Jiahe Yue, Hong-lin Liao, Nan Liu:
Mesh-robust stability and convergence of variable-step deferred correction methods based on the BDF2 formula. CoRR abs/2402.06129 (2024)- 2023
- [j33]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: 107047 (2023) - [j32]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): 2157-2181 (2023) - [i22]Hong-lin Liao, Nan Liu, Pin Lyu:
Discrete gradient structure of a second-order variable-step method for nonlinear integro-differential models. CoRR abs/2301.12474 (2023) - [i21]Hong-lin Liao, Xiaohan Zhu, Hong Sun:
Asymptotically compatible energy and dissipation law of the nonuniform L2-1σ scheme for time fractional Allen-Cahn model. CoRR abs/2311.13216 (2023) - 2022
- [j31]Xiaohan Zhu, Hong-lin Liao:
Asymptotically compatible energy law of the Crank-Nicolson type schemes for time-fractional MBE models. Appl. Math. Lett. 134: 108337 (2022) - [j30]Yin Yang, Jindi Wang, Yanping Chen, Hong-lin Liao:
Compatible L2 norm convergence of variable-step L1 scheme for the time-fractional MBE model with slope selection. J. Comput. Phys. 467: 111467 (2022) - [j29]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): 47 (2022) - [j28]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): 52 (2022) - [j27]Zhaoyi Li, Hong-lin Liao:
Stability of Variable-Step BDF2 and BDF3 Methods. SIAM J. Numer. Anal. 60(4): 2253-2272 (2022) - [i20]Zhaoyi Li, Hong-lin Liao:
Stability of variable-step BDF2 and BDF3 methods. CoRR abs/2201.00527 (2022) - [i19]Hong-lin Liao, Yuanyuan Kang, Wenzhe Han:
Discrete gradient structures of BDF methods up to fifth-order for the phase field crystal model. CoRR abs/2201.00609 (2022) - [i18]Bingquan Ji, Xiaohan Zhu, Hong-lin Liao:
Energy stability of variable-step L1-type schemes for time-fractional Cahn-Hilliard model. CoRR abs/2201.00920 (2022) - [i17]Hong-lin Liao, Tao Tang, Tao Zhou:
Discrete energy analysis of the third-order variable-step BDF time-stepping for diffusion equations. CoRR abs/2204.12742 (2022) - [i16]Yin Yang, Jindi Wang, Yanping Chen, Hong-lin Liao:
Compatible L2 norm convergence of variable-step L1 scheme for the time-fractional MBE mobel with slope selection. CoRR abs/2205.01949 (2022) - [i15]Hong-lin Liao, Nan Liu, Xuan Zhao:
Asymptotically compatible energy of variable-step fractional BDF2 formula for time-fractional Cahn-Hilliard model. CoRR abs/2210.12514 (2022) - 2021
- [j26]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: 113352 (2021) - [j25]Hong-lin Liao, Zhimin Zhang:
Analysis of adaptive BDF2 scheme for diffusion equations. Math. Comput. 90(329): 1207-1226 (2021) - [j24]Xin Li, Hong-lin Liao, Luming Zhang:
A second-order fast compact scheme with unequal time-steps for subdiffusion problems. Numer. Algorithms 86(3): 1011-1039 (2021) - [j23]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): A3503-A3526 (2021) - [i14]Hong-lin Liao, Bingquan Ji, Lin Wang, Zhimin Zhang:
Mesh-robustness of the variable steps BDF2 method for the Cahn-Hilliard model. CoRR abs/2102.03731 (2021) - [i13]Hong-Lin Liao, Tao Tang, Tao Zhou:
A new discrete energy technique for multi-step backward difference formulas. CoRR abs/2102.04644 (2021) - [i12]Hong-lin Liao, Xiaohan Zhu, Jindi Wang:
The variable-step L1 scheme preserving a compatible energy law for time-fractional Allen-Cahn equation. CoRR abs/2102.07577 (2021) - 2020
- [j22]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): 37 (2020) - [j21]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: 105366 (2020) - [j20]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: 109473 (2020) - [j19]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): 38 (2020) - [j18]Xin Li, Luming Zhang, Hong-lin Liao:
Sharp H1-norm error estimate of a cosine pseudo-spectral scheme for 2D reaction-subdiffusion equations. Numer. Algorithms 83(3): 1223-1248 (2020) - [j17]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): 2294-2314 (2020) - [j16]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): B738-B760 (2020) - [i11]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 abs/2003.00421 (2020) - [i10]Hong-lin Liao, Bingquan Ji, Luming Zhang:
An adaptive BDF2 implicit time-stepping method for the phase field crystal model. CoRR abs/2008.00212 (2020) - [i9]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 abs/2008.03185 (2020) - [i8]Hong-lin Liao, Tao Tang, Tao Zhou:
Positive definiteness of real quadratic forms resulting from the variable-step approximation of convolution operators. CoRR abs/2011.13383 (2020) - [i7]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 abs/2012.10740 (2020)
2010 – 2019
- 2019
- [j15]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): 1-25 (2019) - [j14]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): 218-237 (2019) - [i6]Bingquan Ji, Hong-lin Liao, Luming Zhang:
Simple maximum-principle preserving time-stepping methods for time-fractional Allen-Cahn equation. CoRR abs/1906.11693 (2019) - [i5]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 abs/1906.11737 (2019) - [i4]Jialing Zhong, Hong-lin Liao, Bingquan Ji, Luming Zhang:
A fourth-order compact solver for fractional-in-time fourth-order diffusion equations. CoRR abs/1907.01708 (2019) - [i3]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 abs/1909.10216 (2019) - [i2]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 abs/1909.10936 (2019) - [i1]Hong-lin Liao, Zhimin Zhang:
Analysis of adaptive BDF2 scheme for diffusion equations. CoRR abs/1912.11182 (2019) - 2018
- [j13]Hong-Lin Liao, Pin Lyu, Seakweng Vong:
Second-order BDF time approximation for Riesz space-fractional diffusion equations. Int. J. Comput. Math. 95(1): 144-158 (2018) - [j12]Hong-Lin Liao, Dongfang Li, Jiwei Zhang:
Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations. SIAM J. Numer. Anal. 56(2): 1112-1133 (2018) - 2017
- [j11]Hong-Lin Liao, Pin Lyu, Seakweng Vong, Ying Zhao:
Stability of fully discrete schemes with interpolation-type fractional formulas for distributed-order subdiffusion equations. Numer. Algorithms 75(4): 845-878 (2017) - 2016
- [j10]Hong-Lin Liao, Ying Zhao, Xing-hu Teng:
A Weighted ADI Scheme for Subdiffusion Equations. J. Sci. Comput. 69(3): 1144-1164 (2016) - 2015
- [j9]Xiuling Hu, Hong-Lin Liao, Fawang Liu, Ian W. Turner:
A center Box method for radially symmetric solution of fractional subdiffusion equation. Appl. Math. Comput. 257: 467-486 (2015) - 2014
- [j8]Hong-Lin Liao, Ying Zhao:
Linearly localized difference schemes for the nonlinear Maxwell model of a magnetic field into a substance. Appl. Math. Comput. 233: 608-622 (2014) - [j7]Hong-Lin Liao, Han-Sheng Shi, Ying Zhao:
Numerical study of fourth-order linearized compact schemes for generalized NLS equations. Comput. Phys. Commun. 185(8): 2240-2249 (2014) - [j6]Ya-nan Zhang, Zhi-Zhong Sun, Hong-Lin Liao:
Finite difference methods for the time fractional diffusion equation on non-uniform meshes. J. Comput. Phys. 265: 195-210 (2014) - [j5]Hong-Lin Liao, Ya-nan Zhang, Ying Zhao, Han-Sheng Shi:
Stability and Convergence of Modified Du Fort-Frankel Schemes for Solving Time-Fractional Subdiffusion Equations. J. Sci. Comput. 61(3): 629-648 (2014) - 2013
- [j4]Hong-Lin Liao, Zhi-Zhong Sun:
A two-level compact ADI method for solving second-order wave equations. Int. J. Comput. Math. 90(7): 1471-1488 (2013) - 2011
- [j3]Hong-Lin Liao, Zhi-Zhong Sun:
Maximum norm error estimates of efficient difference schemes for second-order wave equations. J. Comput. Appl. Math. 235(8): 2217-2233 (2011) - 2010
- [j2]Hong-Lin Liao, Zhi-Zhong Sun, Han-Sheng Shi:
Error Estimate of Fourth-Order Compact Scheme for Linear Schrödinger Equations. SIAM J. Numer. Anal. 47(6): 4381-4401 (2010)
2000 – 2009
- 2006
- [j1]Han-Sheng Shi, Hong-Lin Liao:
Unconditional Stability of Corrected Explicit-Implicit Domain Decomposition Algorithms for Parallel Approximation of Heat Equations. SIAM J. Numer. Anal. 44(4): 1584-1611 (2006)
Coauthor Index
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