Week 1
At the end of this week you will be able to:
Define and analyse numerical methods to solve Ordinary Differential Equations (ODEs). This entails:
1. Define a simple solver to approximate solutions of ODEs based on Taylor Series
2. Quantify the numerical error of an approximated solution
3. Define adaptive time stepping approaches to control the numerical error
4. Distinguish between different ODE solvers
Week 1. Computational methods for ODEs [pdf]:
Introduction to numerical methods for ODEs
Taylor series
ODE solvers
Error and stability
Error control