报告问题 (Title)：Spectral Methods: Some Recent Advances and New Perspectives(谱要领：一些最新希望与新看法)

报告人 (Speaker)：王立联 教授（南洋理工大学）

报告时间 (Time)：2023年11月8日(周三) 10:30

报告所在 (Place)：腾讯聚会(530 994 719)

约请人(Inviter)：李常品、蔡敏

主理部分：理学院数学系

报告摘要：In the past decades, the spectral method has become one of the major tools in scientific computing 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.