Lecture 3 of 'Advanced Numerical Methods' (wi4212)

• The following subjects are discussed:
  
  
  • Cauchy problem
  • superposition of waves, simple waves
  • Domain of Dependence, Range of Influence
  • Discontinous solutions
  • Riemann problem, phase plane, coupled acoustic and advection
  • Initial-boundary-value problem
    
    
  Corresponding sections in the book: Chapter 3
  
  
• Exercises 3.1, 3.2, 3.4, 3.5 and 3.6 can be made.
  
  
• Additional information
  
  
  • Demonstration of acoustic waves.