Unit 2: Numerical Methods for Partial Differential Equations

2.1 Overview

2.2 Partial Differential Equations

2.3 Introduction to Finite Difference Methods

2.4 Analysis of Finite Difference Methods

2.5 Introduction to Finite Volume Methods

2.6 Upwinding and the CFL Condition

2.7 Eigenvalue Stability of Finite Difference Methods

2.8 Method of Weighted Residuals

2.9 Introduction to Finite Elements

2.10 More on Finite Element Methods

2.11 The Finite Element Method for Two-Dimensional Diffusion