Syllabus

1 Solving Systems of linear Equations 

2 Matrix Factorization 

3 Iterative Methods 

4 Eigenvalues and Eigenvectors

5 Singular Value Decomposition

6 QR Algorithm for Eigenvalue Problem 

7 Parabolic Equations: Explicit Methods 

8 Parabolic Equations: Implicit Methods

9 Finite Differences 

10 Problems without Time Dependence

11 Hyperbolic Equations 

12 Multi-grid Method 

13 Elliptic Equations 

14 Poisson Equation