Title: Fourth order finite difference schemes for partial differential equations (10 lectures)
Speaker: Prof Cheng WANG University of Massachusetts Dartmouth
Date: May 16, Monday, 3:00-5:00PM, # 1,
May 17, Tuesday, 3:00-5:00PM, # 2,
May 30, Monday, 3:00-5:00PM, # 3,
May 31, Tuesday, 3:00-5:00PM, # 4,
June 1, Wednesday, 3:00-5:00PM, # 5,
June 2, Thursday, 3:00-5:00PM, # 6,
June 3, Friday, 3:00-5:00PM, # 7,
June 13, Monday, 3:00-5:00PM, # 8,
June 14, Tuesday, 3:00-5:00PM, # 9,
June 15, Wednesday, 3:00-5:00PM, # 10
Venue: 数学楼二楼学术报告厅
Topics:
(1) Finite difference approximation; truncation error estimate
(2) Fourth order difference; compact and long stencil; regular and staggered grid
(3) Fourth order scheme for Poisson equation: compact difference
(4) Fourth order scheme for Poisson equation: long stencil
(5) Compact fourth order scheme for 2-D Navier-Stokes equation
(6) Stability analysis for vorticity boundary condition
(7) Fourth order convergence analysis for compact scheme, part 1: consistency
(8) Fourth order convergence analysis for compact scheme, part 2: stability
(9) Fourth order scheme for incompressible Boussinesq equation; stability and convergence
(10) Other related works and future projects