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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
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. Sci. Comput., J. Comput. Appl. Math., Appl. Numer. Math., Comput. Math. Appl. 等国际期刊发表 SCI收录论文20余篇。先后主持国家级科研项目1项，省级科研项目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
教育背景
2008.09.01--2011.06.30 中山大学 数学与计算科学学院 博士
2003.09.01--2006.06.30 山东师范大学 数学科学学院 硕士
1999.09.01--2003.06.30 山东师范大学 数学系 学士
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. 山东省自然科学基金项目: 高波数Helmholtz方程的差分法(2022.01-2024.12) 主持
奖励与荣誉
2019年山东师范大学教学优秀成果奖
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. 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. .
7. Tingting Wu*, A dispersion minimizing compact finite difference scheme for the 2D Helmholtz equation. J. Comput. Appl. Math. , 311(2017), 497-512.
8. Tingting Wu, Ruimin Xu*, An optimal compact sixth-order finite difference scheme for the Helmholtz equation. Comput. Math. Appl. , 75(2018), 2520-2537.
9. Tingting Wu, Lixin Shen*, Yuesheng Xu, Fixed-point proximity algorithms solving an incomplete Fourier transform model for seismic wavefield modeling, J. Comput. Appl. Math. , 385(2021), 113208.
10. TingtingWu, Yuran Sun, Dongsheng Cheng*, A new finite difference scheme for the 3D Helmholtz equation with a preconditioned iterative solver, Applied Numerical Mathematics, 161 (2021) 348-371.
11. Tingting Wu, Yuesheng Xu*, Inverting Incomplete Fourier Transforms by a Sparse Regularization Model and Applications in Seismic Wavefield Modeling, Journal of Scientific Computing , (2022).
12. Tingting Wu, Wenhui Zhang, Taishan Zeng*., A phase velocity preserving fourth-order finite difference scheme for the Helmholtz equation with variable wavenumber, Applied Mathematics Letters, 154(2024), 109105.
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