Lecture 13 of Numerical methods for differential equations (CTB2400)

• The following subjects are discussed:
  
  
  • numerical integration, rectangle rule, approximation error
  • composite rule, rounding error
  • Trapezoidal rule, Simpson's rule
    
    
  Corresponding pages in the book: pages 51-60. The lecture is also available via collegerama.
  
  
• Historical remarks
  
  
• Exercises 1, and 2 of page 60, 61 can be made ( answers)
  
  
• Additional information
  
  
  • Explanation of the Trapezoidal rule.
  • Explanation of the Simpson's rule with a nice Java example.