AMATH 581
These On-Demand videos were filmed by the Department of Applied Mathematics at the University of Washington. They are in the RealMedia format, and require that you have the RealPlayer application from RealNetworks to view them. If you do not already have Realplayer, versions for several operating systems can be downloaded from here.
Each "Video Lecture" link starts that lecture streaming to your media player from our server. If you have a slow connection to the internet, you can choose to "Download" a file instead. This will let you download the video to your computer, and then either play it or save it to a file.
Please note: These videos can only be accessed from computers on the University of Washington campus. If you try to access them from an off-campus computer, it will fail.
| Lecture Date | Description | Video Lecture | Download |
| Monday, October 1 | Initial value problems: Euler, Runge-Kutta and Adams-Bashforth methods | Lecture 1 | Lecture 1 |
| Wednesday, October 3 | Error analysis for time-stepping routines | Lecture 2 | Lecture 2 |
| Monday, October 8 | Boundary value problems: the shooting method | Lecture 3 | Lecture 3 |
| Wednesday, October 10 | Implementation of shooting and convergence studies | Lecture 4 | Lecture 4 |
| Friday, October 12 | Boundary value problems: direct method and relaxation | Lecture 5 | Lecture 5 |
| Monday, October 15 | Introduction to the advection-diffusion problem | Lecture 6 | Lecture 6 |
| Wednesday, October 17 | Finite difference discretization | Lecture 7 | Lecture 7 |
| Friday, October 19 | Direct solution methods for Ax=b | Lecture 8 | Lecture 8 |
| Monday, October 22 | Iterative solution methods for Ax=b | Lecture 9 | Lecture 9 |
| Wednesday, October 24 | Fast-Poisson Solvers: the Fourier Transform | Lecture 10 | Lecture 10 |
| Friday, October 26 | Comparison of solution techniques for Ax=b: rules of thumb | Lecture 11 | Lecture 11 |
| Monday, October 29 | Basic time-stepping schemes | Lecture 12 | Lecture 12 |
| Wednesday, October 31 | Details | Lecture 13 | Lecture 13 |
| Friday, November 2 | More time-stepping schemes: explicit and implicit methods | Lecture 14 | Lecture 14 |
| Monday, November 5 | Stability analysis | Lecture 15 | Lecture 15 |
| Wednesday, November 7 | Comparison of time-stepping schemes | Lecture 16 | Lecture 16 |
| Friday, November 9 | Optimizing computational performance: rules of thumb | Lecture 17 | Lecture 17 |
| Wednesday, November 14 | Introduction to Reaction-Diffusion Systems | Lecture 18 | Lecture 18 |
| Friday, November 16 | The Fast-Fourier Transform and Cosine/Sine transform | Lecture 19 | Lecture 19 |
| Monday, November 19 | Chebychev Polynomials and Transform | Lecture 20 | Lecture 20 |
| Wednesday, November 21 | Spectral method implementation | Lecture 21 | Lecture 21 |
| Monday, November 26 | Pseudo-spectral techniques with filtering | Lecture 22 | Lecture 22 |
| Wednesday, November 28 | Boundary conditions and spectral methods | Lecture 23 | Lecture 23 |
| Friday, November 30 | Operator splitting techniques | Lecture 24 | Lecture 24 |
| Monday, December 3 | Introduction to the steady state flow over an airfoil | Lecture 25 | Lecture 25 |
| Wednesday, December 5 | Finite element basis | Lecture 26 | Lecture 26 |
| Friday, December 7 | Discretizing with finite elements and boundaries | Lecture 27 | Lecture 27 |
| Monday, December 10 | Implementation of finite elements | Lecture 28 | Lecture 28 |
| Wednesday, December 12 | Error analysis and convergence | Lecture 29 | Lecture 29 |
| <webmaster@amath.washington.edu> | Wed Mar 26 13:41:32 2003 |