以下信息由研究生系统导入，请酌情修改完善

2018年1月-  南京航空航天大学理学院

研究方向：计算数学

自适应算法、偏微分-积分方程数值解

发表学术论文,出版专著情况：

[24] Jindi Wang, Ying Yang and Hong-lin Liao, Stability and convergence of a variable-step stabilized BDF2 stepping for the MBE model with slope selection, Communications in Mathematical Sciences, 2023, revised.

[23] Hong-lin Liao, Nan Liu and Lyu Pin, Discrete gradient structure of a second-order variable-step method for nonlinear integro-differential models, SIAM Journal on Numerical Analysis, 2023, revised.

[22] Hong-lin Liao and Yuanyuan Kang, Discrete gradient structures of BDF methods up to fifth-order for the phase field crystal model, IMA Journal of Numerical Analysis, 2023, revised.

[21] Bingquan Ji, Xiaohan Zhu and Hong-lin Liao, Energy stability of variable-step L1-type schemes for time-fractional Cahn-Hilliard model, Communications in Mathematical Sciences, 2023, accepted.

[20] Hong-lin Liao, Tao Tang and Tao Zhou, Discrete energy technique of the third-order variable-step BDF time-stepping for diffusion equations, Journal of Computational Mathematics, 2023, doi:10.4208/jcm.2207-m2022-0020.

[19] Zhaoyi Li and Hong-lin Liao, Stability of variable-step BDF2 and BDF3 methods, SIAM Journal on Numerical Analysis, 60 (4) (2022), pp. 2253-2272.

[18] Ying Yang, Jindi Wang, Yanping Chen and Hong-lin Liao, Compatible L2 norm convergence of variable-step L1 scheme for the time-fractional MBE mobel with slope selection, Journal of Computational Physics, 467 (2022), num. 111467, doi: 10.1016/j.jcp.2022.111467.

[17] Yuanyuan Kang and Hong-lin Liao, Energy stability of BDF methods up to fifth-order

for the molecular beam epitaxial model without slope selection, Journal of Scientific Computing, 91 (2022), num. 47, doi: 10.1007/s10915-022-01830-x.

[16] Hong-lin Liao, Tao Tang and Tao Zhou, A new discrete energy technique for multi-step backward difference formulas, CSIAM Transactions on Applied Mathematics, 4 (2022), doi: 10.4208/csiam-am.SO-2021-0032.

[15] Hong-lin Liao, Bingquan Ji  and Luming Zhang, An adaptive BDF2 implicit time-stepping method for the phase field crystal model, IMA Journal on Numerical Analysis, 42(1), 2022, 649–679, doi:10.1093/imanum/draa075.

[14] Hong-lin Liao, Tao Tang and Tao Zhou, An energy stable and maximum bound preserving scheme with variable time steps for time fractional Allen-Cahn equation, SIAM Journal on Scientific Computing, 43(5), 2021, pp. A3503-A3526.

[13] Hong-lin Liao, William McLean and Jiwei Zhang, A second-order scheme with nonuniform time steps for a linear reaction-subdiffusion problem, Communications in Computational Physics, 30(2), 2021, pp. 567-601, doi: 10.4208/cicp.OA-2020-0124.

[12] Hong-lin Liao, Xuehua Song, Tao Tang and Tao Zhou, Analysis of the second order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection, Science China Mathematics, 64, 2021, pp. 887-902, doi:10.1007/s11425-020-1817-4.

[11] Hong-lin Liao and Zhimin Zhang, Analysis of adaptive BDF2 scheme for diffusion equations, Mathematics of Computation, 90, 2021, pp. 1207-1226.

[10] Hong-lin Liao, Tao Tang and Tao Zhou, A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations, Journal of Computational Physics, 414 (2020), 109473 , DOI: 10.1016/j.jcp.2020.109473.

[9] Hong-lin Liao, Tao Tang and Tao Zhou, On energy stable, maximum bound preserving, second order BDF scheme with variable steps for the Allen-Cahn equation, SIAM Journal on Numerical Analysis, 2020, 58(4): 2294-2314.

[8] Bingquan Ji, Hong-lin Liao, Yuezheng Gong and Luming Zhang, Adaptive second-order Crank-Nicolson time-stepping schemes for time fractional molecular beam epitaxial growth models, SIAM Journal on Scientific Computing，2020, 42(3): B738-B760.

[7] Hong-lin Liao, William McLean and Jiwei Zhang, A discrete Gronwall inequality with applications to numerical schemes for subdiffusion problems, SIAM Journal on Numerical Analysis, 57(1) (2019), 218-237. 

[6] Hong-lin Liao, Dongfang Li and Jiwei Zhang, Sharp error estimate of nonuniform L1 formula for time-fractional reaction-subdiffusion equations, SIAM Journal on Numerical Analysis, 56(2) (2018), 1112-1133.

[5] Ya-nan Zhang, Zhi-zhong Sun and Hong-lin Liao, Finite difference methods for the time fractional diffusion equation on non-uniform meshes, Journal of Computational Physics, 265 (2014), 195-210.

[4] 廖洪林, 孙志忠, 史汉生, 二维非线性Schrodinger 方程显式格式的最大模误差分析, 中国科学A辑：数学, 40(9) (2010), 827-842.

[3] Hong-lin Liao, Zhi-zhong Sun and Han-sheng Shi, Error estimate of fourth-order compact scheme for solving linear Schrodinger equations, SIAM Journal on Numerical Analysis, 47(6) (2010), 4381-4401.

[2] Hong-lin Liao, Han-sheng Shi and Zhi-zhong Sun, Corrected explicit-implicit domain decomposition algorithms for two-dimensional semilinear parabolic equations, Science in China Series A-Mathematics, 52(11) (2009), 2362-2388. 

(中文版) 廖洪林, 史汉生, 孙志忠,  求解二维半线性抛物方程的校正型显隐区域分解算法, 中国科学A辑-数学, 39(6) (2009), 749-774.

[1] Han-sheng Shi, Hong-lin Liao (corresponding), Unconditional stability of corrected explicit-implicit domain decomposition algorithms for parallel approximation of heat equations, SIAM Journal on Numerical Analysis, 44(4) (2006), 1584-1611.

承担的科研项目情况：

2018年1月-2020年12月 新教师启动基金项目

2021年1月-2024年12月 国家基金委面上项目(批准号：12071216)

暂无内容

暂无内容

暂无内容