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: //umassd.zoom.us/j/6339263022
Password: 123456
后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