Title: Spectral and pseudo-spectral schemes for nonlinearPDEs (10 lectures)
Speaker: Prof Cheng WANG, University ofMassachusetts Dartmouth
Date: Monday: 3:30-5:30PM; other days: 2:00-4:00PM
December 18, Monday, # 1,
December 19, Tuesday, # 2,
December 20, Wednesday, # 3,
December 21, Thursday, # 4,
December 22, Friday, # 5,
December 25, Monday, # 6,
December 26, Tuesday, # 7,
December 27, Wednesday, # 8,
March 7, 2018, Wednesday, # 9,
March 8, 2018, Thursday, # 10
Topics:
(1) Fourier spectral and pseudo-spectral approximation
(2) Comparison between Galerkin and collocation spectralschemes
(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: Collocationscheme, part 2
(10) Future projects