吴亭亭
职 称：副教授 硕士生导师
办公室：长清湖校区文渊楼A239
邮 箱：tingtingwu@sdnu.edu.cn

研究方向：科学工程计算；微分方程数值解法


个人简介
吴亭亭，女，计算数学博士，副教授，硕士生导师。研究方向为科学工程计算与微分方程数值解，取得一些研究成果。在J. Comput. Phys.，J. Comput. Appl. Math. 等国际期刊发表 SCI收录论文10余篇。先后主持国家级科研项目1项，厅级科研项目1项。
研究兴趣
科学工程计算；微分方程数值解法
招生方向
硕士研究生招生专业：科学工程计算
开设课程
解析几何；高等数学；线性代数；微分方程数值解法
科研项目
1.国家自然科学基金项目： 基于非均匀网格的Helmholtz 方程的优化差分法及其预处理迭代算法(2014.01-2016.12) 主持
2.山东省高等学校科技计划项目： 带随机震源的Helmholtz方程的差分法(2019.01-2021.12) 主持
3.国家自然科学基金项目: 奇异摄动问题有限元方法的超逼近性研究(2018.01-2021.12) 参与
4.国家自然科学基金项目: 状态约束分数阶最优控制问题的有限元方法(2020.01-2023.12) 参与
5.山东省自然科学基金项目：无界区域上耦合非线性Schr?dinger方程组的高效数值解法(2019.07-2022.06) 参与
6.山东省自然科学基金项目：反常扩散最优控制问题的有限元法数值模拟(2016.11-2019.11) 参与
代表性成果
1. Zhongying Chen, Tingting Wu*, Hongqi Yang, An optimal 25-point finite difference scheme for the Helmholtz equation with PML, J. Comput. Appl. Math. 236 (2011) 1240-1258.
2. Zhongying Chen, Dongsheng Cheng*, Wei Feng, Tingting Wu and Hongqi Yang, A multigrid-based preconditioned Krylov subspace method for the Helmholtz equation with PML, Journal of Mathematical Analysis and Applications, 383(2011) 522-540.
3. Zhongying Chen, Dongsheng Cheng* and Tingting Wu, A dispersion minimizing finite difference scheme and preconditioned solver for the 3D Helmholtz equation, J. Comput. Phys., 231 (2012) 8152-8175.
4. Zhongying Chen, Dongsheng Cheng, Wei Feng, and Tingting Wu*, An optimal 9-point finite difference scheme for the Helmholtz equation with PML, International J.Numerical Analysis and Modeling, 10(2013) 389-410.
5. Tingting Wu*,Zhongying Chen, A dispersion minimizing subgridding finite difference scheme for the Helmholtz equation with PML, Journal of Computational and Applied Mathematics, 267( 2014), 82-95.
6. Ruimin Xu*, Tingting Wu, Mean-Field Backward Stochastic Evolution Equations in Hilbert Spaces and Optimal Control for BSPDEs, Mathematical problems in engineering, 2014.
7. Dongsheng Cheng, Zhiyong Liu*, Tingting Wu, A multigrid-based preconditioned solver for the Helmholtz equation with a discretization by 25-point difference scheme, Math. Comput. Simulat., 117 (2015) 54-67.
8. Jian Chen*, Yong Huang, Haiwu Rong, Tingting Wu,Taishan Zeng, A multiscale Galerkin method for second-order boundary value problems of Fredholm integro-differential equation. J. Comput. Appl. Math. , 290 (2015) 633-640.
9. Tingting Wu*, Zhongying Chen, Jian Chen, Optimal 25-point finite-difference subgridding techniques for the 2D Helmholtz equation. Mathematical problems in engineering, 2016.
10. Tingting Wu*, A dispersion minimizing compact finite difference scheme for the 2D Helmholtz equation. J. Comput. Appl. Math. , 311(2017), 497-512.
11. Tingting Wu, Ruimin Xu*, An optimal compact sixth-order finite difference scheme for the Helmholtz equation. Comput. Math. Appl. , 75(2018), 2520–2537.
12. Ruimin Xu*, Tingting Wu, Finite volume method for solving the stochastic Helmholtz equation. Advances in Difference Equations, 2019.
13. 周鲁川，吴亭亭*, 一维Helmholtz 方程的优化差分法. 山东师范大学学报(自然科学版)，34(2019) 408-415.
14. 孙煜然，朱启华，吴亭亭*，一维Helmholtz方程的四阶优化紧致差分法. 山东师范大学学报(自然科学版)，已接收.
15. 朱启华，孙煜然，吴亭亭*，一维带PML的Helmholtz方程的四阶差分法. 山东师范大学学报(自然科学版)，已接收.