Abstract: In this talk, we will present the construction of spectral approximations on quasi-uniform grids using prolate spheroidal wave functions (PSWFs). Some insights into the hp-convergence will be provided. Some advantages over polynomial-based spectral algorithms will be shown through examples. Moreover, some new rectangle-triangle mappings will be introduced to develop spectral-element methods on triangles/tetrahedrons. 

 

About the Speaker: Dr. Li-Lian Wang is currently an Associate Professor in the Division of Mathematical Sciences at Nanyang Technological University (NTU) in Singapore. Before joined NTU, he held a Visiting Assistant Professor position at Purdue University in USA from 2003 to 2005. Prior to this, he obtained his PhD from Shanghai University in 2000, and worked as an Assistant Professor at Shanghai Normal University. His research interest lies in high-order methods including spectral and spectral-element methods and their applications. His recent interest also spans to PDE-based image processing. He has published more than 50 papers in top journals and has been one of the three authors of the Springer monograph on Spectral Methods: Algorithms, Analysis and Applications, published in 2011.

  

Date&Time: June 27, 2013 (Thursday),10:30 - 11:30a.m.
Location: 606 Conference Room