Lecture 6 of 'Advanced Numerical Methods' (wi4212)

• The following subjects are discussed:
  
  
  • Flux-difference and flux-vector splitting
  • Roe's method

    Typo: the second line of (4.62) should start with + instead of -

  • Lax-Wendroff method
  • Beam-Warming method
  • oscilations, dispersion, dissipation
  • first/second order accuracy
    
    
  Corresponding sections in the book: Section 4.13, 4.14, 6.1, and 6.2
  
  
• No exercises can be made.
  
  
• Additional information
  
  
  • Upwind and Lax-Wendroff matlab file to simulate the phenomena as given in Figure 6.1 (a) and (b).
  • Animation of some results from Figures 6.1 and 6.2.