Lecture 7 of Numerical methods for differential equations (CTB2400)

• The following subjects are discussed:
  
  
  • stability aspects for a system of differential equations
  • stiff systems of differential equations
  • Motivation interpolation, Lagrange interpolation
  • Cubic spline interpolation
    
    
  Corresponding pages in the book: pages 84-94, 11-16 and 20-23. The lecture is also available via collegerama.
  
  
• Historical remarks
  
  
• Easy exercises of Chapter 2.
  
  
• Exercises 8, 9, 10 and 11 of page 101 can be made ( answers)
  
  
• Additional information
  
  
  • Slide show
  • An important class of splines are the so-called NURBS. NURBS is the abbreviation of Non Uniform Rational B-Splines. There are various introductional books on splines available. NURBS are very popular in games, design of cars, aeroplanes, fonts etc. Splines are also used in Isogeometric Analysis. The IGAA2018 conference was organised in Delft. We also worked on a large project: MOTOR (Multi-ObjecTive design Optimization of fluid eneRgy machines).