Title: Spectral and pseudo-spectral schemes for nonlinear PDEs

 Topics: 
 (1) Fourier spectral and pseudo-spectral approximation
 (2) Comparison between Galerkin and collocation spectral schemes 
 (3) Preliminary estimates in collocation spectral space 
 (4) 3-D viscous Burgers' equations 
 (5) 3-D incompressible Navier-Stokes equations 
 (6) Higher order multi-step schemes 
 (7) Global in time stability for 2-D NSEs: Galerkin scheme 
 (8) Global in time stability for 2-D NSEs: Collocation scheme, part 1 
 (9) Global in time stability for 2-D NSEs: Collocation scheme, part 2 
 (10) Future projects

 

# 1: 12/11, Monday,    9 to 11 am, over Zoom  
 # 2: 12/12, Tuesday,   9 to 11 am, over Zoom  
 # 3: 12/13, Wednesday, 9 to 11 am, over Zoom  
 # 4: 12/14, Thursday,  9 to 11 am, over Zoom   
 # 5: 12/15, Friday,    9 to 11 am, over Zoom  
 # 6: 12/29, Friday,    9 to 11 am, at
维格堂319  
 # 7: 12/29, Friday,    3 to  5 pm, at
维格堂319
 # 8: 01/02, Tuesday,   9 to 11 am, at
维格堂319
 # 9: 01/04, Thursday,  9 to 11 am, at
维格堂319
 #10: 01/15, Thursday,  9 to 11 am, at
维格堂319

 The first five lectures have to be over Zoom meeting: 

 Zoom address: 
https://umassd.zoom.us/j/6339263022
 Password: 123456

5讲线下: 苏大本部维格堂319

 

报告人简介: 王成,麻省大学达特茅斯分校数学系教授,1993 年本科毕业于中国科技大学,2000 年在美国坦普尔大学获得博士学位,2000-2003 年在美国印尼安纳大学从事博士后研究工作,2003-2008 年在美国田纳西大学任助理教授,2008-2012 年在美国麻省大学达特茅斯分校任助理教授,2012 年晋升为副教授,2019 年晋升为教授。王成教授的主要研究领域是应用数学与计算数学,包括数值分析、偏微分方程、流体力学、计算电磁学等,目前已在 Journal of Computational Physics, SIAM Journal on Numerical Analysis, Mathematics of Computation, Numerische Mathematik 等期刊上发表论文一百多篇。

邀请人:岳兴业