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学术报告
学术报告
美国普渡大学沈捷教授报告通知
发布人:陈勇??威尼斯官方网站:2015-07-13?? 浏览次数:590

应数学系吴勃英教授邀请,美国普渡大学沈捷教授将于近日访问数学系并作报告。

 

报告题目:Fast Spectral-Galerkin Method: Algorithms, Analysis and Applications

 

报告时间:717日上午9:00-10:30

 

报告地点:格物楼503

 

报告摘要:In recent years, spectral methods have become increasingly popular among computational scientists and engineers because of their superior accuracy and efficiency when properly implemented.  In this talk, I shall present fast spectral-Galerkin algorithms for some prototypical partial differential equations. These spectral-Galerkin algorithms have computational complexities which are comparable to those of finite difference and finite element algorithms, yet they are capable of providing much more accurate results with a significantly smaller number of unknowns. A key ingredient for the efficiency and stability of the spectral-Galerkin algorithms is to use (properly defined) generalized Jacobi polynomials as basis functions.

 

    I shall  illustrate applications of these fast spectral-Galerkin algorithms to a number of scientific and engineering problems, including fractional PDEs, nonlinear wave equations, acoustic scattering and mutli-phase flows.

 

报告人简介:沈捷教授,美国普渡大学数学系教授。1982年毕业于北京大学计算数学专业,随后赴法国巴黎十一大学研究数值分析,师从国际著名数学大师R.TEMAM,1987年获得博士学位后赴美在Indiana University从事博士后研究。沈捷教授是国际著名的数值数学家,主要从事偏微分方程数值解研究,特别在谱方法数值分析理论和科学计算方面有杰出贡献,同时在海洋和大气动力系统以及材料科学计算方面也有很深的造诣,经常在重要国际学术会议上作大会主报告。 2008年沈捷教授因在微分方程研究中的卓越贡献获得富布赖特奖。沈捷教授长期从事偏微分方程数值解的研究,尤其在谱方法和投影法上有很多杰出的工作,在SIAM.J.Numer.Anal., SIAM.J.Sci.Comput., Numer.Math.Math.Comp.等国际著名期刊上发表学术论文100余篇。


 

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