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
研究方向：计算数学；偏微分方程数值计算
个人简介
安娜，女，中共党员，计算数学博士，讲师，硕士生导师。近年来致力于具间断扩散系数的界面问题及分数阶偏微分方程数值模拟方面的研究，获得一些基础性研究成果。在Applied Mathematics and Computation、Computers and Mathematics with Applications、Numerical Methods for Partial Differential Equations等国际期刊发表SCI收录论文10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。
研究兴趣
辐射扩散方程组；具间断扩散系数的界面问题；分数阶偏微分方程
招生方向
硕士研究生招生专业：计算数学
开设课程
计算方法；数值代数；高等数学
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. bevictor伟德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. N. An, C. B. Huang*, X. J. 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.
2. C. B. Huang, N. An*, X. J. Yu, A local discontinuous Galerkin method for time-fractional diffusion equation with discontinuous coefficient, Applied Numerical Mathematics, 2020, 151: 367-379.
3. J. C. Ren, C. B. Huang*, N. An, Direct discontinuous Galerkin method for solving nonlinear time fractional dffusion equation with weak singularity solution, Applied Mathematics Letters, 2020, 102: 106111.
4. N. An, C. B. Huang*, X. J. Yu, Error analysis of direct discontinuous Galerkin method for two-dimensional fractional diffusion-wave equation, Applied Mathematics and Computation, 2019, 349: 148-157.
5. N. An*, C. B. Huang, X. J. Yu, LDG methods for reaction-diffusion systems with application of Krylov implicit integration factor methods, Taiwanese Journal of Mathematics, 2019, 23(3): 727-749.
6. C. B. Huang*, N. An, X. J. Yu and H. L. Zhang, A direct discontinuous Galerkin method for time-fractional diffusion equation with discontinuous diffusive coefficient, Complex Variables and Elliptic Equations, DOI: 10.1080/17476933.2019.1655552, 2019.
7. C. B. Huang, M. Stynes*, N. An, Optimal L∞(L2) error analysis of a direct discontinuous Galerkin method for time-fractional reaction-diffusion problem, BIT Numerical Mathematics, 2018, 58(3): 661-690.
8. C. B. Huang*, N. An, X. J. Yu, A fully discrete direct discontinuous Galerkin method for the fractional diffusion-wave equation, Applicable Analysis, 2018, 97(4): 659-675.
9. N. An*, X. J. Yu, C. B. 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.
10. N. An*, X, J. Yu, H. Z. Chen, C. B. Huang, Z. Y. Liu, A partially penalty immersed Crouzeix-Raviart finite element method for interface problems, Journal of Inequalities and Applications, 2017, 2017(1): 186.
11. N. An, X. J. Yu*, C. B. Huang, M. C. Duan, Local discontinuous Galerkin methods for reaction-diffusion systems on unstructured triangular meshes, Part of the Lecture Notes in Computer Science book series (LNCS, volume 10187), 2017: 172-179.
12. N. An, X. J. Yu*, C. B. Huang, M. C. Duan, Local discontinuous Galerkin methods coupled with implicit integration factor methods for solving reaction-cross-diffusion systems, Discrete Dynamics in Nature and Society, 2016, 5345032(1-18).
13. N. An, H. Z. Chen, X. J. Yu, C. B. Huang, An immersed Crouzeix-Raviart finite element method for anisotropic flow models in porous media, Numerical Mathematics: A Journal of Chinese Universities, 2016, 38(1): 24-41.
14. Na An, H. Z. 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.
