廖洪林
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  • 电子邮箱:liaohl@nuaa.edu.cn
  • 所在单位:理学院
  • 学历:博士研究生毕业
  • 办公地点:理学院 304室
  • 性别:
  • 学位:理学博士学位
  • 职称:副教授
  • 在职信息:在职
  • 毕业院校:东南大学
  • 硕士生导师
  • 学科:数学 应用数学 计算数学
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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

数值分析、偏微分-积分方程数值解

发表学术论文,出版专著情况:

[12] Hong-lin Liao and Zhimin Zhang, Analysis of adaptive BDF2 scheme for diffusion equations, Mathematics of Computation, 2020, DOI: 10.1090/mcom/3585.

[11] 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.

[10] Bingquan Ji, Hong-lin Liao (corresponding) and Luming Zhang, Simple maximum- principle preserving time-stepping methods for time-fractional Allen-Cahn equation, Advances in Computational Mathematics, 46(2), 2020, DOI: 10.1007/s10444-020-09782-2.

[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(corresponding), 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 Computing2020, 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-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-2019年12月 新教师启动基金项目

分数阶微分方程数值解
  • 偏微分方程数值解

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