报告题目：Why spectral methods are preferred in PDE eigenvalue computations in some cases? 

报 告 人：Prof. Zhimin Zhang (张智民）

报告时间： 5月7日下午3：30

报告地点：清水河主楼A1-407

报告摘要： When approximating PDE eigenvalue problems by numerical methods such as finite difference and finite element, it is common knowledge that only a small portion of numerical eigenvalues are reliable. As a comparison, spectral methods may perform extremely well in some situation, especially for 1-D problems. In addition, we demonstrate that spectral methods can outperform traditional methods and the state-of-the-art method in 2-D problems even with singularities. 

报告人简介：Zhimin Zhang received his B.S. (1982) and M.S. (1985) from University of Science and Technology of China, and his Ph.D. from University of Maryland at College Park (1991). He was appointed Visiting Assistant Professor and Assistant Professor (Tenure-track) in the Department of Mathematics at Texas Tech University in 1991 and 1993, respectively, and promoted to Associate Professor with tenure in 1997. He joined Wayne State University (WSU) as an Associate Professor in the Department of Mathematics in 1999 and was promoted to a full Professor in 2002. He was a Visiting Professor at Cornell University (2002) and Penn State University (2004). He is a Charles H. Gershenson Distinguished Faculty Fellow of WSU (2014). His research interests include Numerical PDEs, finite element methods, spectral methods, finite volume methods. He is serving on editorial boards of six professional journals including “Mathematics of Computation” and “Journal of Scientific Computing”.