Mathematical Methods for Engineers II

Calendar

Week #	Topics
Initial Value Problems
1	Differential Equations and Stable Difference Methods
2	Finite Differences: Accuracy, Stability, Convergence
3	The Wave Equation and von Neumann Stability
4	The Heat Equation and Convection-Diffusion
5	Maxwell’s Equations and Staggered Leapfrog
6	Nonlinear Flow Equations
7	Separation of Variables and Spectral Methods
Solving Large Linear Systems
8	Elimination with Reordering
9	Iterative Methods
10	Multigrid Methods
11	Krylov Methods
12	Saddle Points and the Stokes Problem
13	Optimization
	Project Reports