Yingwei Wang

Courses

Teaching

• Spring 2012: MA 265 Linear Algebra (with Prof. Al Momin and Prof. L Qin).
• Fall 2011: MA 262 Linear Algebra and Differential Equations (with Prof W. Niu ).
• Summer 2011: MA 265 Linear Algebra (with Dr M. P. Luca ).
• Spring 2011: MA 304 Differential Equations and Analysis of Nolinear System for Engineering and the Sciences (with Prof P. D. Stefanov ).
• Fall 2010: MA 265 Linear Algebra (with Prof T. T. Moh ).

Research Interests ( my advisor: Prof Jie Shen )

• Numerical analysis and scientific computing in general,
• Spectral and high-order methods with applications in fluid dynamics,
• Singularly perturbed and boundary layer problems,
• Spectral element method for mixed boundary value problems,
• Singularity substraction technique,
• Fast structured solver for dense linear systems.

Seminars

Publications

• Suqin Chen,Yingwei Wang, Xionghua Wu, Rational spectral collocation method for a coupled system of singularly perturbed boundary value problems , Journal of Computational Mathematics, 2011, 29(4), 458-473.
• Yingwei Wang, Suqin Chen, Xionghua Wu, A rational spectral collocation method for solving a class of parameterized singular perturbation problems , Journal of Computational and Applied Mathematics, 2010, 233(10): 2652-2660.
• Yingwei Wang, Suqin Chen, Xionghua Wu, The exponential time differencing and rational spectral collocation method for singularly perturbed Burgers-Huxley problem , Mathematica Numerica Sinica, 2010, 32(2):171-182, (in Chinese).
• Suqin Chen, Xionghua Wu, Yingwei Wang, Weibin Kong, The Laplace transform method for Burgers' equation , International Journal for Numerical Methods in Fluids, 2010, 63(9): 1060-1076.
• Yu Huang, Chenglong Xu, Yingwei Wang, Spectral method using Hermite functions for semilinear wave equations with strong damping , The International Conference on Information Science and Engineering, 2009, 401-403.
• Suqin Chen, Xionghua Wu, Yingwei Wang, Weibin Kong, High accuracy time and space transform method for advection-diffusion equation in an unbounded domain , International Journal for Numerical Methods in Fluids, 2008, 58(11): 1287-1298.

Education

• PhD candidate, 2010.08-present: Computational and Applied Mathematics, Department of Mathematics, Purdue University, the United States.
• M.S., 2007.09-2010.06: Computational Mathematics, Department of Mathematics, Tongji University, China. (Advisor: Prof Suqin Chen)
• B.S., 2003.09-2007.06: Applied Mathematics, Department of Mathematics, Tongji University, China.

My Collections

• A few words on research for graduate students, by Prof Fan Chung.
• Research skills: How to write a good research paper and give a good research talk , by Prof Simon Peyton-Jones.
• Career advice for math students , by Prof Terence Tao.
• MPI , by MCS Division, Argonne National Laboratory.
• Math Ramblings , by Prof Kurt Bryan.
• Maths Careers , by IMA.
• How to Learn Math and Physics , by Prof John Baez.