Lecture 8 of Numerical methods for differential equations (CTB2400)

• The following subjects are discussed:
  
  
  • norm vector, norm matrix, condition number, Gershgorin theorem
  • boundary value problem, finite difference method
    
    
  Corresponding pages in the book: pages 11-16, 20-23, and 101-103. The lecture is also available via collegerama.
  
  
• Historical remarks
  
  
• Exercises 1, and 2 of page 23 can be made ( answers). The answers are also available as video: Exercise 1 and Exercise 2.
  
  
• Additional information
  
  
  • Video of a heat flow between two hot tubes in water, modelled by a 2 dimensional initial boundary value problem.