杨欢欢-华中师范大学数学学院中文站

个人简介

杨欢欢，博士，副教授。研究方向是计算数学，主要研究偏微分方程数值解及相关最优控制/反问题的快速算法，尤其是心电血流相关模型的算法设计、分析和应用。先后主持广东高校省级重大科研项目(青年创新人才类)、国家自然科学基金青年科学基金项目、广东省自然科学基金青年提升项目。学术论文发表在SIAM J. Numer. Anal., SIAM J. Sci. Comput., J. Comput. Phys., Inverse Probl., Comput. Methods Appl. Mech. Eng.等学术期刊。

开设课程

当前课程：高等代数、数值代数
历年课程：偏微分方程数值解、实变函数、数学建模、高等微积分、复变函数

研究方向

计算数学、偏微分方程数值解

教育经历

2010.8-2015.12 美国埃默里大学 博士 计算数学
2007.9-2010.7  中科院武汉物理与数学研究所 硕士 基础数学
2003.9-2007.6  华中师范大学 学士 数学与应用数学

工作经历

2023.7-今 华中师范大学 副教授
2017.8-2023.7 汕头大学 副教授
2015.9-2017.8 美国佛罗里达州立大学 博士后

研究成果

1. Nan Jiang and Huanhuan Yang?, A second order ensemble algorithm for computing the Navier-Stokes equations, Journal of Mathematical Analysis and Applications, 530(1)(2024):127674.
2. Nan Jiang and Huanhuan Yang?, Unconditionally stable, second order, decoupled ensemble schemes for computing evolutionary Boussinesq equations, Applied Numerical Mathematics, 192(2023):241-260.
3. Nan Jiang and Huanhuan Yang?, Fast and accurate artificial compressibility ensemble algorithms for computing parameterized Stokes-Darcy flow ensembles, Journal of Scientific Computing, 94(2023).
4. Ruonan Cao, Nan Jiang, and Huanhuan Yang?, Three linear, unconditionally stable, second order decoupling methods for the Allen-Cahn-Navier-Stokes phase field model, Journal of Mathematical Analysis and Applications, 519(2023):126792.
5. Wei Gong, Buyang Li, Huanhuan Yang?, Optimal control in a bounded domain for wave propagating in the whole space: coupling through boundary integral equations, Journal of Scientific Computing, 92(2022):91.
6. Nan Jiang and Huanhuan Yang?, Artificial compressibility SAV ensemble algorithms for the incompressible Navier-Stokes equations, Numerical Algorithms, 2022.
7. Nan Jiang and Huanhuan Yang?, Numerical investigation of two second-order, stabilized SAV ensemble methods for the Navier-Stokes equations, Advances in Computational Mathematics 48(2022):65.
8. Nan Jiang, Ying Li?, Huanhuan Yang, A second order ensemble method with different subdomain time stepsfor simulating coupled surface-groundwater flows, Numerical Methods for Partial Differential Equations, 38(2022):1880-1907.
9. Nan Jiang, Ying Li, Huanhuan Yang?, An artificial compressibility Crank-Nicolson leap-frog method for the Stokes-Darcy model and application in ensemble simulations, SIAM Journal on Numerical Analysis, 59(2021):401-428.
10. Nan Jiang and Huanhuan Yang?, Stabilized scalar auxiliary variable ensemble algorithms for parameterized flow problems, SIAM Journal on Scientific Computing, 43(2021):A2869-A2896.
11. Nan Jiang and Huanhuan Yang?, SAV decoupled ensemble algorithms for fast computation of Stokes-Darcy flow ensembles, Computer Methods in Applied Mechanics and Engineering, 387 (2021):114150.
12. Huanhuan Yang?, Lili Ju, Max Gunzburger, Fast spherical centroidal Voronoi mesh generation: A Lloyd-preconditioned LBFGS method in parallel, Journal of Computational Physics, 367(2018):235-252.
13. Kui Du, Buyang Li?, Weiwei Sun, Huanhuan Yang, Electromagnetic scattering from a cavity embedded in an impedance ground plane, Mathematical Methods in the Applied Sciences, 41(2018):7748-7765.
14. Huanhuan Yang? and Max Gunzburger, Algorithms and analyses for stochastic optimization for turbofan noise reduction using parallel reduced-order modeling, Computer Methods in Applied Mechanics and
Engineering, 319(2017):217-239.
15. Huanhuan Yang? and Alessandro Veneziani, Efficient estimation of cardiac conductivities via POD-DEIM model order reduction, Applied Numerical Mathematics, 115(2017):180–199.
16. Huanhuan Yang and Alessandro Veneziani?, Estimation of cardiac conductivities in ventricular tissue by a variational approach, Inverse Problems, 31(2015):115001.
17. Huanhuan Yang?, Tiziano Passerini, Tommaso Mansi, and Dorin Comaniciu, Data-driven model reduction for fast, high fidelity atrial electrophysiology computations, Functional Imaging and Modeling of the Heart, Lecture Notes in Computer Science, 9126(2015):466-474.
18. Lifang Xu? and Huanhuan Yang, On the generalizations of Denjoy-Wolff theorem, Acta Mathematica Sinica, English Series, 32(2012): 1333-1337.

研究项目

? 心电血流模拟中的若干偏微分方程数值问题研究(2023A1515030199), 广东省自然科学基金青年提升项目, 30万元, 2023.1-2025.12.
? 带参数的心电学偏微分方程的模型降阶算法研究及其应用(11801348), 国家自然科学基金青年基金项目， 25万元，2019.1-2021.12. 已结题.
? 洋流污染治理及海岸水利工程中的计算流体力学问题(2017KQNCX079), 广东高校省级重大科研项目(青年创新人才类), 4万元, 2018.1-2019.12. 已结题.

附件

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