Lecture 5 of Numerical methods for differential equations (CTB2400)

• The following subjects are discussed:
  
  
  • convergence, global error, efficiency
  • numerical methods for system of differential equations and higher order differential equations
  • stability aspects for a system of differential equations
    
    
  Corresponding pages in the book: pages 75-86. The lecture is also available via collegerama.
  
  
• Historical remarks
  
  
• Easy exercises of Chapter 6.
  
  
• Exercises 6 and 7 of page 99 can be made ( answers)
  
  
• Additional information
  
  
  • A simulation (using a Java-applet) of a double pendulum is possible. The time integration is done by a Runge-Kutta method.
  • Slide show
  • Stability Regions