In Week 10 we will study a sophisticated class of methods, called Runge-Kutta methods, and analyse their performance. We then move on to study Trapezium methods and the idea of Predictor Corrector (PECE) methods.

Intended Learning Outcomes

At the end of the week you should be able to:

  • understand the idea of Runge-Kutta methods and their benefits and drawbacks in higher order
  • describe the idea behind Predictor Corrector methods
  • apply Euler’s method for solving some simple problems
  • analyse the performance of both classes of methods in terms of speed, accuracy, and stability

Tasks and Materials

  • Lectures 17 and 18 are available on the Lectures page.
  • The seventh problem sheet is available and will be discussed in Week 10, please have a look at it before class! Slides from previous classes have also been provided, and also MATLAB code for Euler’s method.