Computational Methods in Ordinary Differential Equations

An undergraduate module covers numerical methods for solving Ordinary Differential Equations.

• Linear Multistep Methods

Topics include:

1. Introduction to Differential Equations
2. Complex Numbers and Difference Equations
3. Gregory-Newton Interpolating Polynomial
4. Multistep Methods: Derivation through Integration
5. Multistep Methods: Accuracy and Error Constants
6. Multistep Methods: Zero-Stability and Convergence
7. Multistep Methods: Stability Interval and Region
8. Stiff Differential Equations
9. Sparse Matrices