Lecture 1 of 'Advanced Numerical Methods' (wi4212)

• The following subjects are discussed:
  
  
  • Hyperbolic system, advection and wave equation
  • Characteristic and characteristic equation
  • differential and integral equation
  • conservative, discontinuos solutions, discontinuous coefficients
  • Finite volume method, Riemann solver, shock capturing/tracking
  • initial and boundary conditions, inflow and outflow boundary
    
    
  Corresponding sections in the book: Chapter 1 and sections 2.1-2.5
  
  
• Exercises 2.1 and 2.2 can be made.
  
  
• Additional information
  
  
  • References and links to useful webpages