Mathematical Methods for Engineers II
by Instructor: Prof. Gilbert Strang
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Description
This graduate-level course is a continuation of Mathematical Methods for Engineers I (18.085). Topics include numerical methods; initial-value problems; network flows; and optimization.
| Name | Description | Released | Price | ||
|---|---|---|---|---|---|
|
1 |
Lecture 01: Difference Methods for Ordinary Differential Equations | -- | 5/9/07 | Free | View In iTunes |
|
2 |
Lecture 02: Finite Differences, Accuracy, Stability, Convergence | -- | 5/9/07 | Free | View In iTunes |
|
3 |
Lecture 03: The One-way Wave Equation and CFL / von Neumann Stability | -- | 5/9/07 | Free | View In iTunes |
|
4 |
Lecture 04: Comparison of Methods for the Wave Equation | -- | 5/9/07 | Free | View In iTunes |
|
5 |
Lecture 05: Second-order Wave Equation (including leapfrog) | -- | 5/9/07 | Free | View In iTunes |
|
6 |
Lecture 06: Wave Profiles, Heat Equation / point source | -- | 5/9/07 | Free | View In iTunes |
|
7 |
Lecture 07: Finite Differences for the Heat Equation | -- | 5/9/07 | Free | View In iTunes |
|
8 |
Lecture 08: Convection-Diffusion / Conservation Laws | -- | 5/9/07 | Free | View In iTunes |
|
9 |
Lecture 09: Conservation Laws / Analysis / Shocks | -- | 5/9/07 | Free | View In iTunes |
|
10 |
Lecture 10: Shocks and Fans from Point Source | -- | 5/9/07 | Free | View In iTunes |
|
11 |
Lecture 11: Level Set Method | -- | 5/9/07 | Free | View In iTunes |
|
12 |
Lecture 12: Matrices in Difference Equations (1D, 2D, 3D) | -- | 5/9/07 | Free | View In iTunes |
|
13 |
Lecture 13: Elimination with Reordering: Sparse Matrices | -- | 5/9/07 | Free | View In iTunes |
|
14 |
Lecture 14: Financial Mathematics / Black-Scholes Equation | -- | 5/9/07 | Free | View In iTunes |
|
15 |
Lecture 15: Iterative Methods and Preconditioners | -- | 5/9/07 | Free | View In iTunes |
|
16 |
Lecture 16: General Methods for Sparse Systems | -- | 5/9/07 | Free | View In iTunes |
|
17 |
Lecture 17: Multigrid Methods | -- | 5/9/07 | Free | View In iTunes |
|
18 |
Lecture 18: Krylov Methods / Multigrid Continued | -- | 5/9/07 | Free | View In iTunes |
|
19 |
Lecture 19: Conjugate Gradient Method | -- | 5/9/07 | Free | View In iTunes |
|
20 |
Lecture 20: Fast Poisson Solver | -- | 5/9/07 | Free | View In iTunes |
|
21 |
Lecture 21: Optimization with constraints | -- | 5/9/07 | Free | View In iTunes |
|
22 |
Lecture 22: Weighted Least Squares | -- | 5/9/07 | Free | View In iTunes |
|
23 |
Lecture 23: Calculus of Variations / Weak Form | -- | 5/9/07 | Free | View In iTunes |
|
24 |
Lecture 24: Error Estimates / Projections | -- | 5/9/07 | Free | View In iTunes |
|
25 |
Lecture 25: Saddle Points / Inf-sup condition | -- | 5/9/07 | Free | View In iTunes |
|
26 |
Lecture 26: Two Squares / Equality Constraint Bu = d | -- | 5/9/07 | Free | View In iTunes |
|
27 |
Lecture 27: Regularization by Penalty Term | -- | 5/9/07 | Free | View In iTunes |
|
28 |
Lecture 28: Linear Programming and Duality | -- | 5/9/07 | Free | View In iTunes |
|
29 |
Lecture 29: Duality Puzzle / Inverse Problem / Integral Equations | -- | 5/9/07 | Free | View In iTunes |
| Total: 29 Episodes |











