This calendar lists the lecture topics for the course, the instructor in charge of each lecture, and assignment due dates. Most lectures were delivered at MIT, and video-casted live to the National University of Singapore (NUS). Some lectures were delivered at NUS, and video-casted live to MIT. In rare circumstances, students watched a taped lecture.
LEC # | TOPICS | PRIMARY LECTURER | ASSESSMENT |
---|---|---|---|
1 | Overview | J. Peraire | |
2 | Finite Differences: Elliptic Problems | J. Peraire | |
3 | Finite Differences: Elliptic Problems | J. Peraire | |
4 | Finite Differences: Parabolic Problems | B. C. Khoo | |
5 | Finite Differences: Eigenvalue, 2D Problems | J. Peraire | |
6 | Solution Methods: Iterative Methods | J. Peraire | |
7 | Solution Methods: Multigrid Methods | J. Peraire | |
8 | Finite Differences: Hyperbolic Problems | J. Peraire | |
9 | Finite Differences: Hyperbolic Problems | J. Peraire | FD Assignment Due |
10 | Finite Volumes: Linear Problems | J. Peraire | |
11 | Finite Volumes: Conservation Laws | J. Peraire | |
12 | Finite Volumes: Nonlinear Problems | J. Peraire | |
13 | Finite Elements: Variational Formulation | A. T. Patera | |
14 | Finite Elements: Poisson 1D -- I | A. T. Patera | FV Assignment Due |
15 | Finite Elements: Poisson 1D -- II | A. T. Patera | |
16 | Finite Elements: Poisson 2D -- I | A. T. Patera | |
17 | Finite Elements: Poisson 2D -- II | A. T. Patera | |
18 | Finite Elements: General Elliptic Problems -- Overview | A. T. Patera | |
19 | Finite Elements: Parabolic Problems, Eigenvalue Problems | A. T. Patera | |
20 | Integral Equations: Derivation | J. White | |
21 | Integral Equations: Collocation and Galerkin Methods | J. White | |
22 | Integral Equations: Convergence Theory -- 2nd Kind | J. White | FE Assignment Due |
23 | Integral Equations: Quadrature and Cubature | J. White | |
24 | Integral Equations: Nystrom Methods | J. White | |
25 | Integral Equations: Convergence Theory -- 1st Kind | J. White | |
26 | Integral Equations: Fast Solvers | J. White | BI Assignment Due |