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安娜
职 称：副教授 硕士生导师
办公室：长清湖校区文渊楼A区238
邮 箱：annabetter@sdnu.edu.cn
个人简介
安娜，北京应用物理与计算数学研究所数学博士，主要从事具间断系数界面问题及分数阶偏微分方程的数值算法研究，在Appl. Math. Comput.，Comput. Math. Appl.，Appl. Numer. Math.等国际期刊发表SCI论文20余篇，主持国家级科研项目1项，校级科技项目培育基金1项。曾获山东师范大学第十二届青年教师教学比赛二等奖，指导本科生获山东师范大学优秀学士学位论文1项，指导研究生获山东师范大学优秀硕士学位论文1项。现为美国《数学评论》评论员。
研究兴趣
偏微分方程数值解；辐射扩散方程组及非局部问题的数值模拟
招生方向
硕士研究生招生专业：计算数学
开设课程
本科生课程：计算方法；数值代数；高等数学
研究生课程：算法与程序设计
科研项目
1. 国家自然科学基金青年项目：辐射扩散方程的高精度局部间断Galerkin方法研究(2019.01-2021.12) 主持
2. 山东师范大学青年科技项目培育基金：三角形网格上抛物界面问题的间断有限元方法研究 (2018.01-2019.12) 主持
代表性成果
1. Yubin Wang, Na An*, Chaobao Huang, Unconditional optimal error bounds of the fast nonuniform Alikhanov scheme for a nonlinear time-fractional biharmonic
equation, Journal of Applied Mathematics and Computing, 2024, 70(5): 4053-4071.
2. Dan Zhang, Na An*, Chaobao Huang, Local error estimates of the fourth-order compact difference scheme for a time-fractional diffusion-wave equation, Computers and Mathematics with Applications, 2023, 142: 283-292.
3. Guoye Zhao, Na An*, Chaobao Huang, Optimal error analysis of the Alikhanov formula for a time-fractional Schrödinger equation, Journal of Applied Mathematics and Computing, 2023, 69(1): 159-170.
4. Chaobao Huang*, Na An, Xijun Yu, Unconditional energy dissipation law and optimal error estimate of fast L1 schemes for a time-fractional Cahn-Hilliard problem, Communications in Nonlinear Science and Numerical Simulation, 2023, 124: 107300.
5. Chaobao Huang, Na An, Hu Chen*, Xijun Yu, α-Robust error analysis of two nonuniform schemes for subdiffusion equations with variable-order derivatives, Journal of Scientific Computing, 2023, 97(2): 43.
6. Na An, Guoye Zhao, Chaobao Huang*, Xijun Yu, α-Robust H1-norm analysis of a finite element method for the superdiffusion equation with
weak singularity solutions, Computers and Mathematics with Applications, 2022, 118: 159-170.
Chaobao Huang, Na An, Hu Chen*, Local H^1-norm error analysis of a mixed finite element method for a time-fractional biharmonic equation, Applied Numerical Mathematics, 2022, 173: 211-221.
Na An, Chaobao Huang*, Xijun Yu, Error analysis of discontinuous Galerkin method for the time fractional KdV equation with weak singularity solution, Discrete and Continuous Dynamical Systems-Series B, 2020, 25(1): 321-334.
Chaobao Huang, Na An*, Xijun Yu, A local discontinuous Galerkin method for time-fractional diffusion equation with discontinuous coefficient, Applied Numerical Mathematics, 2020, 151: 367-379.
10. Jincheng Ren, Chaobao Huang*, Na An, Direct discontinuous Galerkin method for solving nonlinear time fractional diffusion equation with weak singularity solution, Applied Mathematics Letters, 2020, 102: 106111.
11. Na An*, Chaobao Huang, Xijun Yu, LDG methods for reaction-diffusion systems with application of Krylov implicit integration factor methods, Taiwanese Journal of Mathematics, 2019, 23(3): 727-749.
12. Na An, Chaobao Huang*, Xijun Yu, Error analysis of direct discontinuous
Galerkin method for two-dimensional fractional diffusion-wave equation, Applied Mathematics and Computation, 2019, 349: 148-157.
Chaobao Huang, Martin Stynes*, Na An, Optimal L∞(L2) error analysis of a direct discontinuous Galerkin method for a time-fractional reaction-diffusion problem, BIT Numerical Mathematics, 2018, 58(3): 661-690.
Chaobao Huang*, Na An, Xijun Yu, A fully discrete direct discontinuous Galerkin method for the fractional diffusion-wave equation, Applicable Analysis, 2018, 97(4): 659-675.
15. Na An*, Xijun Yu, Chaobao Huang, Local discontinuous Galerkin methods for parabolic interface problems with homogeneous and non-homogeneous jump conditions, Computers and Mathematics with Applications, 2017, 74(10): 2572-2598.
16. Na An, Xijun Yu*, Chaobao Huang, Maochang Duan, Local discontinuous Galerkin methods for reaction-diffusion systems on unstructured triangular meshes, Part of the Lecture Notes in Computer Science book series, 2017, 10187: 172-179.
17. 安娜，陈焕贞，蔚喜军，黄朝宝，多孔介质中各向异性渗流模型的浸入Crouzeix-Raviart有限元方法，高等学校计算数学学报，2016, 38(1): 24-41.
18. Na An, Huanzhen Chen*, A partially penalty immersed interface finite element method for anisotropic elliptic interface problems, Numerical Methods for Partial Differential Equations, 2014, 30(6): 1984-2028.
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