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 |