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杨 青
职 称：教授 硕士生导师
办公室：长清湖校区文渊楼A264
邮 箱：sd_yangq@163.com
个人简介
杨青，女，1975年生，硕士生导师。1993年至1997年本科就读于山东大学数学系，1997年至2002年就读于山东大学数学院计算数学专业，获理学博士学位，2002年起在山东师范大学数学院工作至今。主要从事偏微分方程数值解法的研究，在“J. Comp. Appl. Math.”、“Appl. Numer. Math.”、“Numer. Meth. Part. D. E.”等杂志发表SCI检索论文20余篇
研究方向及兴趣
有限元/有限体积元方法；界面问题浸入有限元方法；半导体器件数学模型的数值方法
招生方向
硕士研究生招生专业及方向：计算数学\偏微分方程数值解法
开设课程
本科生课程：数学分析
研究生课程：差分方法，有限体积元方法
科研项目
1.山东省自然科学基金面上项目： 界面问题间断浸入有限元方法的理论分析及自适应算法(2017-08至2020-06)，主持
2.山东省高等学校科技发展计划项目：半导体器件数学模型的一类新型数值模拟方法 (2014-07至2017-12), 主持
3.山东省自然科学基金博士基金：半导体器件数学模型数值模拟方法理论及其应用（2004-12至2006-12）, 主持
4.山东省省属高校优秀青年人才联合基金项目： 反常扩散最优控制问题的有限元法数值模拟 (2017-01至2019-12), 参与
5.国家自然科学基金面上项目: 间断混合体积（和有限体积）元方法的理论及其应用 (2012-01至2015-12), 参与
6.国家自然科学基金面上项目: 非定常Stokes-Darcy耦合模型的并行有限元算法研究（2022-01至2025-12）, 参与
奖励与荣誉
1.几类非线性方程（组）的混合有限元、有限体积元数值模拟, 山东省教育厅, 山东高等学校优秀科研成果奖, 三等奖, 2014 (杨青; 周兆杰; 尹哲)
2.几类偏微分系统的数值算法及理论分析研究, 山东省教育厅, 山东省高校科学技术奖, 二等奖, 2018 (周兆杰; 杨青; 李宏伟; 吴亭亭)
代表性成果
1. Qing Yang; Xu Zhang*; Discontinuous Galerkin immersed finite element methods for parabolic interface problems, Journal of Computational and Applied Mathematics, 2016, 299: 127-139
2. Qing Yang*; Yuan Yirang; An approximation of semiconductor device by mixed finite element method and characteristics-mixed finite element method, Applied Mathematics and Computation, 2013, 225: 407-424
3. Qing Yang*; Jiang Ziwen. A discontinuous mixed covolume method for elliptic problems , Journal of Computational and Applied Mathematics, 2011, 235(8): 2467-476
4. Qing Yang*; Yirang Yuan. An approximation of semiconductor device of heat conduction by mixed finite element method and characteristics-mixed finite element method, Applied Numerical Mathematics, 2013, 70: 42-57
5. Qing Yang. Numerical analysis of partially penalized immersed finite element methods for hyperbolic interface problems, Numerical Mathematics: Theory Methods and Applications, 2018, 11(2): 272-298
6. Qing Yang*; Yirang Yuan. An approximation of three-dimensional semiconductor devices by mixed finite element method and characteristics-mixed finite element method, Numerical Mathematics: Theory, Methods and Applications, 2015, 8(3): 356-382
7. Tao Lin; Qing Yang; Xu Zhang*. A priori error estimates for some discontinuous Galerkin immersed finite element methods, Journal of Scientific Computing, 2015, 65(3): 875-894
8. Tao Lin; Qing Yang; Xu Zhang*. Partially penalized immersed finite element methods for parabolic interface problems, Numerical Methods for Partial Differential Equations, 2015, 31(6): 1925-1947
9. Qing Li; Qing Yang*. Compact difference scheme for two-dimensional fourth-order hyperbolic equation, Advance in Difference Equations, 2019, 328: 1-19
10. Qing Li; Qing Yang*; Huanzhen Chen. Compact difference scheme for two-dimensional fourth order nonlinear hyperbolic equation, Numerical Methods for Partial Differential Equations, 2020, 36(6): 1938-1961
11. Yirang Yuan; Changfeng Li; Qing Yang. Mixed finite element-second order upwind fractional step difference scheme of Darcy-Forchheimer miscible displacement and its numerical analysis, Journal of Scientific Computing, 2021
12. Qing Yang; Hongxia Xie. Compact difference scheme for time-fractional nonlinear fourth-order diffusion equation with time delay, Results in Applied Mathematics, 2022, 16
13. Yirang Yuan; Changfeng Li; Tongjun Sun; Qing Yang. A mixed finite element and characteristic mixed finite element for incompressible miscible Darcy-Forchheimer displacement and numerical analysis, Acta Mathematica Scientia, 2023
14. Jingru Zhang; Qing Yang*. The finite volume element method for time fractional generalized Burgers' equation, Fractal and Fractional, 2024, 8(1)
15. Changfeng Li; Yirang Yuan; Qing Yang; Tongjun Sun. A finite volume element scheme modified with second‐order upwind fractional step of three‐dimensional semiconductor device transient behavior and its convergence analysis, Numerical Methods for Partial Differential Equations, 2024, 41(1)
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