报告人：王立联教授新 加坡南洋理工大学
报告时间：2024年7月24日15:00-16:00
报告地点：红瓦楼726
报告内容简介：In the past decades, the spectral method has become one of the major tools in scientific computing for solving partial differential equations due to its superior accuracy and efficiency when it is properly designed. In this talk, we shall review the evolution of spectral method and elaborate on some recent advancements from the perspective of (i) Singular, fractional and nonlocal problems; (ii) Complex domains/geometries (e.g., spectral fictitious domain method and spectral methods on pipes, knots etc); and (iii) PDEs with highly oscillatory solutions among others. We shall also outline some new directions that the spectral method can excel itself and unknown areas that the spectral method might be the method of choice.
报告人简介： Professor Wang Li-Lian is currently a full Professor of Applied Mathematics in the School of Physical and Mathematical Sciences in Nanyang Technological University (NTU), Singapore. Before joining NTU in 2006, he worked as a Postdoctoral Fellow and Visiting Assistant Professor at Purdue University in USA from 2002 to 2005. He received his PhD from Shanghai University in 2000 and then worked in Shanghai Normal University for two years. His main research interest resides in spectral and high-order methods for PDEs. He has published about 100 papers in top scientific journals including Appl. Comput. Harmon. Anal., SIAM J. Numer. Anal., SIAM J. Appl. Math., Math. Comp., etc.. His co-authored Springer book on Spectral Methods (2011) has become a standard reference in this subject area.
报告邀请人：盛长滔