讲师

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李鑫

  • 职称 :讲师
  • 邮箱 :xli_math@hfut.edu.cn
  • 所属系 :信息与计算科学系
  • 主讲课程 :微分方程数值解,线性代数,概率论与数理统计。
  • 研究领域 :偏微分方程数值解,偏微分方程保结构算法。
教育经历
  • 2006.09-2010.07 安徽师范大学 学士
    2010.09-2013.03 南京航空航天大学 硕士
    2017.04-2020.12 南京航空航天大学 博士
工作经历
  • 2021.03-至今 3522vip浦京集团 讲师
    2013.04-2017.03 安徽科技学院 助教、讲师
科研项目
  • 国家自然科学基金青年项目,项目编号: 12201168, 2023.01-2025.12,在研,主持
    “飞行器数学建模与高性能计算”工信部重点实验室开放课题, 项目编号:202202, 2022.01-2023.12, 在研,主持
    国家自然科学基金面上项目,项目编号:12071216,2021.01-2024.12,在研,参与
    安徽省教育厅自然科学研究重点项目,项目编号:KJ2018A0523,2018.01-2019.12,结题,主持
研究成果
  • [11] Xin Li, Luming Zhang, High-order conservative energy quadratization schemes for the Klein-Gordon-Schrödinger equation, Adv. Comput. Math. 48 (2022): 41.
    [10] Xin Li, Yuezheng Gong, Luming Zhang, Linear high-order energy-preserving schemes for the nonlinear Schrödinger equation with wave operator using the scalar auxiliary variable approach, J. Sci. Comput. 88 (2021): 20.
    [9] Xin Li, Hong-lin Liao, Luming Zhang, A second-order fast compact scheme with unequal time-steps for subdiffusion problems, Numer. Algo. 86 (2021): 1011-1039.
    [8] Xin Li, Yuezheng Gong, Luming Zhang, Two novel classes of linear high-order structure-preserving schemes for the generalized nonlinear Schrӧdinger equation, Appl. Math. Lett. 104 (2020): 106273.
    [7] Xin Li, Luming Zhang, A conservative sine pseudo-spectral-difference method for multi-dimensional coupled Gross-Pitaevskii equations, Adv. Comput. Math. 46 (2020): 26.
    [6] Xin Li, Hong-lin Liao, Luming Zhang, Sharp H1-norm error estimate of a cosine pseudo-spectral scheme for 2D reaction-subdiffusion equations, Numer. Algo. 83 (2020): 1223-1248.
    [5] Xin Li, Luming Zhang, An efficient spectral-collocation difference method for two-dimensional Schrӧdinger equation with Neumann boundary conditions, Comput. Math. Appl. 79 (2020): 2322-2335.
    [4] Xin Li, Luming Zhang, Error estimates of a trigonometric integrator sine pseudo-spectral method for the extended Fisher-Kolmogorov equation, Appl. Numer. Math. 131 (2018): 39-53.
    [3] Xin Li, Luming Zhang, Ting Zhang, A new numerical scheme for the nonlinear Schrӧdinger equation with wave operator, J. Appl. Math. Comput. 54 (2017): 109-125.
    [2] Xin Li, Luming Zhang, Guangying Chai, A linear compact scheme for the nonlinear Schrӧdinger equation with wave operator, J. East China Norm. Univ. Natur. Sci. Ed. 3 (2016): 1-8.
    [1] Xin Li, Luming Zhang, Shanshan Wang, A compact finite difference scheme for the nonlinear Schrӧdinger equation with wave operator, Appl. Math. Comput. 219 (2012): 3187-3197.
社会兼职
  • 美国《数学评论》评论员(reviewer for Mathematical Reviews)。

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