|
Name：Lingyu Song |
Division: Department of Mathematics |
Position: Professor, Graduate supervisor |
Research: Partial differential equation theory and numerical Computing. |
Address: School of Science, Chang'an University, Xi'an 710064, PR China |
E-mail：sly779911@chd.edu.cn |
Biography
a. Educatiuon
• Ph.D. in Computational Mathematics, March 2009. School of Mathematics and Statistics, Xi’an Jiaotong University, P.R. China.
• M.Sc. in Fundamental Mathematics, January 2002. College of Science, Northwest Normal University, P.R. China.
• B.Sc. in Mathematics, September 1989. College of Science, Northwest Normal University, P.R. China.
b.Visiting
Visiting scholar, Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, USA, October 2011 - October 2012.
Courses
Courses for Graduate Students:
1. Finite Element Method for Partial Differential Equations
2. Numerical analysis
3. Qualitative and stability theory of ordinary differential equations
4. Numerical solution of differential equations
Courses for Undergraduate Students:
5. Stability theory of ordinary differential equations
6. Ordinary differential equations
7. Software Packages of Mathematics
8. Linear Algebra
9. Computer geometry design and graphics
10. Advanced Mathematics I
11. Advanced Mathematics II
12. Calculation Method
13. Special Functions
14. Advanced Algebra
15. Complex function
16. Equations of Mathematics and Physics
17. Integral Transformation
18. Mathematical Physics Equations andSpecial Functions
19. Vector Analysis
20. Mathematical Physics Equations andIntegral Transformation
Courses for International Undergraduate Students:
1. Advanced Mathematics I
2. Advanced Mathematics II
3.Linear Algebra
Research instersts
1. Computational and Applied Mathematics.
2. Numerical Differential Equations.
3. Scientific Computing.
4. Finite element method.
5. Studies on bifurcation, traveling wavefronts and global attractor of some nonlinear evolution Equations.
Selected publications
[1]LY Song, YD Zhang, T Ma. Global attractor of a modified Swift–Hohenberg equation in
spaces，Nonlinear Analysis: Theory, Methods and Applications, 2010，72: 183-191（SCI：000272573900018）.
[2]LY Song, YD Zhang, T Ma. Global attractor of the Cahn-Hilliard equation in
spaces，Journal of Mathematical Analysis and Applications，2009，355: 53-62（SCI：000265801800006）.
[3]LY Song, YN He, ZH Ge, Stability and bifurcation for a kind of nonlinear delayed differential equations，Applied Mathematics and Computation, 2007, 190: 677-685 (SCI：000247803500067).
[4]LY Song, YN He, YD Zhang, The existence of global attractors for semilinear parabolic equation in
spaces，Nonlinear Analysis: Theory, Methods and Applications, 2008, 68: 3541-3549(SCI：000255809300028).
[5] YD Zhang,LY Song, Axia W，Dynamical bifurcation for the Kuramoto-Sivashinsky equation，Nonlinear Analysis: Theory, Methods and Applications, 2011, 74: 1155-1163(SCI: 697FV) .
[6] YD Zhang ,LY Song, T Ma，The existence of global attractors for 2D Navier-Stokes equations in
spaces，Acta Mathematica Sinica, English Series, 2009, 25: 51-58(SCI: 382FD) .
[7] ZH Ge, YN He,LY Song，Traveling wavefronts for a ratio-dependent predator-prey system with diffusion term and stage structure，Nonlinear Analysis: Real World Applic ations，2009，10: 1691-1701（SCI：423ZO）.
[8] Zhihao Ge , Yinnian He,Lingyu Song，An inf-sup stabilized finite element method by multiscale functions for the Stokes equations, Advances in Applied Mathematics and Mechanics，2009，1: 273-287（SCI：709CX）.
[9]宋灵宇，刘福民，带导数项具有阶段结构的两种群捕食—食饵系统波前解的存在性，工程数学学报，2011.10.15, Vol.28 No.5, 671-680 （核心期刊）.
[10]宋灵宇，张雅荣，最优站点问题的求解，兰州理工大学学报, 2012, vol.38, No.4：143-146
[11]宋灵宇，李晓莉，一类静态梁方程的非负解与非正解，bat365在线平台登录学报（自然科学版），2005.5 Vol.25 No.5.
[12] 宋灵宇，一类四阶两点边值问题解的存在性，陕西师范大学学报（自然科学版），2003.2 Vol.31 No.2 .
[13] 宋灵宇，带导数项的两端简单支撑的静态梁方程的正解，甘肃工业大学学报，2002.6 Vol.28 No.2 .
[14] 宋灵宇，张雅荣，广义静态梁方程非负解的存在性，纯粹数学与应用数学，2011.4 Vol.27 No.4
[15] 宋灵宇，非齐次边值条件下一类静态梁方程非负解的存在性，纯粹数学与应用数学，2003.1 Vol.19 No.1 .
[16] 孙海燕，宋灵宇，基于压力校正增量形式投影方法对含哥氏力的Navier-Stokes方程的误差分析方法， 工程数学学报，2011.4 Vol.28 No.4 .
[17] 宋灵宇，带导数项的一端固定另一端自由的静态梁方程正解的存在性，甘肃教育学院学报（自然科学版），2002.1 Vol.16 No.1.
