Hong-lin Liao

发表

Corrected explicit-implicit domain decomposition algorithms for two-dimensional semilinear parabolic equations

Zhi-zhong Sun, Zhi‐zhong Sun, Han-Sheng Shi, 2009 .

N A ] 3 J ul 2 01 9 A fourth-order compact solver for fractional-intime fourth-order diffusion equations

Lu-ming Zhang, Hong-lin Liao, J. Zhong, 2019 .

Analysis of L 1-Galerkin FEMs for time-fractional non-linear parabolic problems

Weiwei Sun, Dongfang Li, Jiwei Zhang, 2017 .

Discrete energy analysis of the third-order variable-step BDF time-stepping for diffusion equations

T. Tang, Tao Zhou, Hong-lin Liao, 2022, Journal of Computational Mathematics.

Stability and Convergence of Modified Du Fort–Frankel Schemes for Solving Time-Fractional Subdiffusion Equations

Han-Sheng Shi, Hong-lin Liao, Ya-nan Zhang, 2014, Journal of Scientific Computing.

Sharp H1-norm error estimate of a cosine pseudo-spectral scheme for 2D reaction-subdiffusion equations

Xin Li, Lu-ming Zhang, Hong-lin Liao, 2019, Numerical Algorithms.

A Weighted ADI Scheme for Subdiffusion Equations

Hong-lin Liao, Ying Zhao, X. Teng, 2016, Journal of Scientific Computing.

Numerical study of fourth-order linearized compact schemes for generalized NLS equations

Ying Zhao, Hong-Lin Liao, Han-Sheng Shi, 2014, Comput. Phys. Commun..

Unconditional Stability of Corrected Explicit-Implicit Domain Decomposition Algorithms for Parallel Approximation of Heat Equations

Hong-Lin Liao, Han-Sheng Shi, Han-Sheng Shi, 2006, SIAM J. Numer. Anal..

Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations

Jiwei Zhang, Hong-lin Liao, Dongfang Li, 2018, SIAM J. Numer. Anal..

Analysis of $L1$-Galerkin FEMs for time-fractional nonlinear parabolic problems

Jiwei Zhang, Hong-lin Liao, Weiwei Sun, 2016, 1612.00562.

Stability of fully discrete schemes with interpolation-type fractional formulas for distributed-order subdiffusion equations

Ying Zhao, Seakweng Vong, Pin Lyu, 2017, Numerical Algorithms.

On energy stable, maximum-principle preserving, second order BDF scheme with variable steps for the Allen-Cahn equation

Tao Zhou, Hong-lin Liao, Tao Tang, 2020, SIAM J. Numer. Anal..

A center Box method for radially symmetric solution of fractional subdiffusion equation

Ian W. Turner, Xiuling Hu, F. Liu, 2015, Appl. Math. Comput..

Finite difference methods for the time fractional diffusion equation on non-uniform meshes

Zhi-Zhong Sun, Ya-Nan Zhang, Hong-Lin Liao, 2014, J. Comput. Phys..

A second-order fast compact scheme with unequal time-steps for subdiffusion problems

Xin Li, Lu-ming Zhang, Hong-lin Liao, 2020, Numerical Algorithms.

A Second-Order Scheme with Nonuniform Time Steps for a Linear Reaction-Subdiffusion Problem

Jiwei Zhang, Hong-lin Liao, William McLean, 2018, Communications in Computational Physics.

A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems

Jiwei Zhang, Hong-lin Liao, William McLean, 2018, SIAM J. Numer. Anal..

Convergence of compact ADI method for solving linear Schrödinger equations

Tingchun Wang, Zhi-zhong Sun, Zhi‐zhong Sun, 2012 .

Second-order BDF time approximation for Riesz space-fractional diffusion equations

Seakweng Vong, Pin Lyu, Hong-Lin Liao, 2018, Int. J. Comput. Math..

Sharp H1-norm error estimates of two time-stepping schemes for reaction-subdiffusion problems

Jiwei Zhang, Hong-lin Liao, Jincheng Ren, 2018, J. Comput. Appl. Math..

$L^2$ norm error estimates of BDF methods up to fifth-order for the phase field crystal model

Hong-lin Liao, Yuanyuan Kang, 2022, 2201.00609.

Stability of variable-step BDF2 and BDF3 methods

Hong-lin Liao, Zhaoyi Li, 2022, SIAM J. Numer. Anal..

A new discrete energy technique for multi-step backward difference formulas pdf

Tao Tang, Tao Zhou, Honglin Liao, 2021, CSIAM Transactions on Applied Mathematics.

Analysis of the second-order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection pdf

Tao Zhou, Xuehua Song, Hong-lin Liao, 2020, Science China Mathematics.

An adaptive BDF2 implicit time-stepping method for the phase field crystal model

Lu-ming Zhang, Hong-lin Liao, Bingquan Ji, 2020, ArXiv.

Analysis of adaptive BDF2 scheme for diffusion equations pdf

Zhimin Zhang, Hong-lin Liao, Zhimin Zhang, 2019, Math. Comput..

Unconditional Convergence of a Fast Two-Level Linearized Algorithm for Semilinear Subdiffusion Equations

Jiwei Zhang, Hong-lin Liao, Yonggui Yan, 2018, Journal of Scientific Computing.

Mesh-Robustness of an Energy Stable BDF2 Scheme with Variable Steps for the Cahn–Hilliard Model

Zhimin Zhang, Hong-lin Liao, Bingquan Ji, 2021, Journal of Scientific Computing.

Mesh-robustness of the variable steps BDF2 method for the Cahn-Hilliard model pdf

Hong-lin Liao, Bingquan Ji, Zhimin Zhang, 2021, ArXiv.

Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations

Zhi-zhong Sun, Zhi‐zhong Sun, Hong-lin Liao, 2010 .

Error Estimate of Fourth-Order Compact Scheme for Linear Schrödinger Equations

Zhi-Zhong Sun, Hong-Lin Liao, Han-Sheng Shi, 2010, SIAM J. Numer. Anal..

Simple maximum principle preserving time-stepping methods for time-fractional Allen-Cahn equation

Hong-lin Liao, Bingquan Ji, Luming Zhang, 2019, Advances in Computational Mathematics.

Positive definiteness of real quadratic forms resulting from the variable-step approximation of convolution operators pdf

Tao Zhou, Hong-lin Liao, Tao Tang, 2020, Science China Mathematics.

Energy stability of variable-step L1-type schemes for time-fractional Cahn-Hilliard model pdf

Hong-lin Liao, Bingquan Ji, Xiaohan Zhu, 2022, ArXiv.

An energy stable and maximum bound preserving scheme with variable time steps for time fractional Allen-Cahn equation pdf

Tao Zhou, Hong-lin Liao, Tao Tang, 2020, SIAM J. Sci. Comput..

A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations pdf

Tao Zhou, Hong-lin Liao, Tao Tang, 2019, J. Comput. Phys..

Adaptive second-order Crank-Nicolson time-stepping schemes for time fractional molecular beam epitaxial growth models

Hong-lin Liao, Yuezheng Gong, Bingquan Ji, 2019, SIAM J. Sci. Comput..

A two-level compact ADI method for solving second-order wave equations

Zhi-Zhong Sun, Hong-Lin Liao, Zhi‐zhong Sun, 2013, Int. J. Comput. Math..

A second-order fast compact scheme with unequal time-steps for subdiffusion problems

Lu-ming Zhang, Hong-lin Liao, Xin Li, 2020, Numerical Algorithms.

Energy Stability of BDF Methods up to Fifth-Order for the Molecular Beam Epitaxial Model Without Slope Selection

Hong-lin Liao, Yuanyuan Kang, 2022, Journal of Scientific Computing.

Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations

T. Tang, Tao Zhou, Hong-lin Liao, 2023, BIT Numerical Mathematics.

An energy stable linear BDF2 scheme with variable time-steps for the molecular beam epitaxial model without slope selection

Jindi Wang, Hong-lin Liao, Yuanyuan Kang, 2022, Commun. Nonlinear Sci. Numer. Simul..

An adaptive BDF2 implicit time-stepping method for the phase field crystal model pdf

Hong-lin Liao, Luming Zhang, Bingquan Ji, 2020, IMA Journal of Numerical Analysis.

Discrete gradient structures of BDF methods up to fifth-order for the phase field crystal model pdf

Hong-lin Liao, Yuanyuan Kang, Wenzhe Han, 2022, ArXiv.

Maximum norm error estimates of efficient difference schemes for second-order wave equations

Zhi-Zhong Sun, Hong-Lin Liao, Zhi‐zhong Sun, 2011, J. Comput. Appl. Math..

Adaptive linear second-order energy stable schemes for time-fractional Allen-Cahn equation with volume constraint

Yuezheng Gong, Lu-ming Zhang, Hong-lin Liao, 2019, Commun. Nonlinear Sci. Numer. Simul..