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新加坡南洋理工大学Wang Li-Lian教授报告通知
发布人:蔡易  发布时间:2021-07-30   浏览次数:10

受学校国际合作处资助,应十大网赌正规线上网址刘文杰博士的邀请,新加坡南洋理工大学Wang Li-Lian教授将在我校做六场线上系列学术讲座,以下是报告信息,欢迎感兴趣的师生参加。

时间2021869日,每日上午两场报告9:00-10:3010:30-12:00202189日下午两场报告15:00-16:3016:30-18:00

平台:腾讯会议会议号:340 3826 2408可以加报告讨论QQ群:873924311

题目:Spectral Methods and Their Applications

摘要:In this series of lectures, we will review the recent development of the spectral methods on approximations. Chebyshev, Legendre and Jacobi  approximations in non-uniformly weighted Sobolev spaces or  new fractional Sobolev spaces are investigated. Some results on orthogonal projections and interpolations are established. Explicit expressions describingthe dependence of approximation results on the parameters of Jacobi polynomials are given. These results serve as an important tool in the analysis of numerous quadratures and numerical methods for differential, integral equations and partial differential equation equations (PDEs). Here is the list of the six lectures:

1.    Spectral Methods and Their Applications I: Chebyshev Approximations

2.    Spectral Methods and Their Applications II: Legendre Approximations

3.    Spectral Methods and Their Applications III: Jacobi Approximations

4.    Spectral Methods and Their Applications IV: Generalised Jacobi Functions

5.    Spectral Methods and Their Applications V: Optimal Spectral Approximations in New Fractional Sobolev Spaces

6.    Spectral Methods and Their Applications VI: Spectral Approximations in PDEs

报告人简介:Wang Li-Lian老师现为新加坡南洋理工大学数理学院副教授(Tenured)。并于20032005年,在美国普渡大学(Purdue University)从事博士后和Visiting Assistant Professor工作。2016年至2019年,受聘为厦门大学闽江讲座教授。长期从事谱和高阶数值方法及其应用研究。他在《SIAM J. Numer. Anal.》、《SIAM J. Sci. Comp.》、《SIAM J. Appl. Math.》、《Math. Comp.》以及《Appl. Comput. Harmonic Anal.》等国际计算应用数学顶级学术期刊上发表学术论文90余篇,并由Springer-Verlag出版社出版学术专著1部《Spectral Methods, 2011(合著)。目前已主持5项并参加4项新加坡国家自然科学基金和新加坡教育部基金,并在国际重要学术会议作邀请报告60余次,包括2016, 在第十一届国际谱和高阶方法国际会议(巴西)作一小时特邀报告。目前担任期刊《Communications on Applied Mathematics and Computation》和《Journal of Mathematical Study》编委。

 


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