Lesson Overview

Back to numerics! Our goal this week is to solve ordinary differential equations using a computer! So, we will look at a few techniques for doing just that.

1. Solving ODEs

Learning Goals

After this week you should be able to:

• understand the development of algorithms behind several different ODE solvers.
• tell the difference between the Euler method and Runge-Kutta schemes.
• implement a variety of ODE solvers.
• describe why one type of solver might be unstable.