Lecture 6 of Numerical methods for differential equations (CTB2400)

• The following subjects are discussed:
  
  
  • Global truncation error
  • Richardson error estimate
  • numerical methods for system of differential equations and higher order differential equations
  • stability aspects for a system of differential equations
  • mathematical pendulum
    
    
  Corresponding pages in the book: pages 75-86. The lecture is also available via collegerama.
  
  
• Historical remarks
  
  
• Easy exercises of Chapter 6.
  
  
• Exercises 6, 7 and 8 of page 101 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