报告题目:Numerical stability for time dependent PDEs (10 Lectures)

报告人:Prof Wang, Cheng

Department of Mathematics, University of Massachusetts Dartmouth

时间:

December 17, Monday, # 1, 

December 18, Tuesday, # 2, 

December 19, Wednesday, # 3, 

December 20, Thursday, # 4, 

December 21, Friday, # 5, 

December 24, Monday, # 6, 

January 16, 2019, Wednesday, # 7, 

January 17, 2019, Thursday, # 8, 

January 18, 2019, Friday, # 9, 

January 21, 2019, Monday, # 10 

  

地点:数学楼二楼学术报告厅

(如教室冲突,每次课前通知,联系人:时继阳18801549701)

  

主题:

1.Numerical method for ODEs; stability and convergence

2.Stability domain; linearized stability

3.L 2 and energy estimates

4.Examples of fully discrete scheme

5.Linear convection-diffusion equation

6.Nonlinear viscous Burger’s equation

7.Incompressible fluid equations

8.Energy stable numerical schemes for gradient system

9.Nonlinear conservation laws; Strong Stability Preserving (SSP) method

10.Hyperbolic equations