* Lecturer*: Weizhu Bao

http://www.math.nus.edu.sg/~bao/teach/ma5233/ma5233.html

**Detailed Course Outline**

- Introduction (lectures 1-2)
- Iterative methods for linear systems (lectures 3-4)
- Methods for nonlinear systems (lecture 5)
- Introduction
**lecture 5** - Newton’s method
- Quasi-Newton method
- Convergence analysis

- Introduction
- Numerical methods for ODEs (lectures 6-8)
- Numerical methods for PDEs (lectures 9-12)
- Introduction
**lecture 9** - Finite difference method
- Fast direct Poisson solvers
**lecture 10** - Convergence analysis
- Methods for time-dependent problems
**lecture 11** - Finite element method
**lecture 12** - Multigrid method

- Introduction

My notes: Runge-Kutta Methods, Multi-step Methods