Lecture 7 of Numerical methods I (wi2604)

• The following subjects are discussed:
  
  
  • stiff systems of differential equations, superstable
  • Runge-Kutta methods, multi step method, Adams-Bashforth
    
    
  Corresponding pages in the lecture notes: pages 99-109
  
  
• Historical remarks
  
  
• Excercises and answers
  
  
• Additional information
  
  
  • test requirements
  • Tests, answers and grades (Dutch)
  • Slide showing instable behavior for the Euler Forward method for a stiff system of equations.
  • Slide showing stable behavior for the Euler Forward method for a stiff system of equations.
  • Slide showing stable behavior for the Euler Forward method for a stiff system of equations.
  • Slide showing stable behavior for the Euler Backward method for a stiff system of equations with a large time step.
  • Slide 1, 2, 3 and 4 for the Trapezoidal rule for a stiff system of equations with various timesteps.