| Lec # | Topics | Videos | Audio |
|---|---|---|---|
| 1 | Difference Methods for Ordinary Differential Equations | (RM - 56K) (RM - 220K) | (MP3 - 10.2MB) |
| 2 | Finite Differences, Accuracy, Stability, Convergence | (RM - 56K) (RM - 220K) | (MP3 - 12.8MB) |
| 3 | The One-way Wave Equation and CFL / von Neumann Stability | (RM - 56K) (RM - 220K) | (MP3 - 12.7MB) |
| 4 | Comparison of Methods for the Wave Equation | (RM - 56K) (RM - 220K) | (MP3 - 12MB) |
| 5 | Second-order Wave Equation (including leapfrog) | (RM - 56K) (RM - 220K) | (MP3 - 12.6MB) |
| 6 | Wave Profiles, Heat Equation / point source | (RM - 56K) (RM - 220K) | (MP3 - 12MB) |
| 7 | Finite Differences for the Heat Equation | (RM - 56K) (RM - 220K) | (MP3 - 12.6MB) |
| 8 | Convection-Diffusion / Conservation Laws | (RM - 56K) (RM - 220K) | (MP3 - 12.2) |
| 9 | Conservation Laws / Analysis / Shocks | (RM - 56K) (RM - 220K) | (MP3 - 10.2) |
| 10 | Shocks and Fans from Point Source | (RM - 56K) (RM - 220K) | (MP3 - 12.8MB) |
| 11 | Level Set Method | (RM - 56K) (RM - 220K) | (MP3 - 12.3MB) |
| 12 | Matrices in Difference Equations (1D, 2D, 3D) | (RM - 56K) (RM - 220K) | (MP3 - 12.4MB) |
| 13 | Elimination with Reordering: Sparse Matrices | (RM - 56K) (RM - 220K) | (MP3 - 12.8MB) |
| 14 | Financial Mathematics / Black-Scholes Equation | (RM - 56K) (RM - 220K) | (MP3 - 11.3MB) |
| 15 | Iterative Methods and Preconditioners | (RM - 56K) (RM - 220K) | (MP3 - 11.2MB) |
| 16 | General Methods for Sparse Systems | (RM - 56K) (RM - 220K) | (MP3 - 10.8MB) |
| 17 | Multigrid Methods | (RM - 56K) (RM - 220K) | (MP3 - 11.7MB) |
| 18 | Krylov Methods / Multigrid Continued | (RM - 56K) (RM - 220K) | (MP3 - 11.3MB) |
| 19 | Conjugate Gradient Method | (RM - 56K) (RM - 220K) | (MP3 - 12MB) |
| 20 | Fast Poisson Solver | (RM - 56K) (RM - 220K) | (MP3 - 11.1MB) |
| 21 | Optimization with constraints | (RM - 56K) (RM - 220K) | (MP3 - 11.7MB) |
| 22 | Weighted Least Squares | (RM - 56K) (RM - 220K) | (MP3 - 12MB) |
| 23 | Calculus of Variations / Weak Form | (RM - 56K) (RM - 220K) | (MP3 - 11.8MB) |
| 24 | Error Estimates / Projections | (RM - 56K) (RM - 220K) | (MP3 - 11.5MB) |
| 25 | Saddle Points / Inf-sup condition | (RM - 56K) (RM - 220K) | (MP3 - 11.8MB) |
| 26 | Two Squares / Equality Constraint Bu = d | (RM - 56K) (RM - 220K) | (MP3 - 12MB) |
| 27 | Regularization by Penalty Term | (RM - 56K) (RM - 220K) | (MP3 - 11.3MB) |
| 28 | Linear Programming and Duality | (RM - 56K) (RM - 220K) | (MP3 - 12.9MB) |
| 29 | Duality Puzzle / Inverse Problem / Integral Equations | (RM - 56K) (RM - 220K) | (MP3 - 11.8MB) |