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.
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LEC # |
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TOPICS |
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PRIMARY LECTURER |
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ASSESSMENT |
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1 |
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Overview |
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J. Peraire |
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2 |
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Finite Differences: Elliptic Problems |
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J. Peraire |
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3 |
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Finite Differences: Elliptic Problems |
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J. Peraire |
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4 |
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Finite Differences: Parabolic Problems |
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B. C. Khoo |
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5 |
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Finite Differences: Eigenvalue, 2D Problems |
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J. Peraire |
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6 |
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Solution Methods: Iterative Methods |
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J. Peraire |
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7 |
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Solution Methods: Multigrid Methods |
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J. Peraire |
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8 |
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Finite Differences: Hyperbolic Problems |
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J. Peraire |
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9 |
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Finite Differences: Hyperbolic Problems |
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J. Peraire |
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FD Assignment Due |
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10 |
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Finite Volumes: Linear Problems |
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J. Peraire |
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11 |
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Finite Volumes: Conservation Laws |
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J. Peraire |
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12 |
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Finite Volumes: Nonlinear Problems |
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J. Peraire |
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13 |
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Finite Elements: Variational Formulation |
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A. T. Patera |
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14 |
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Finite Elements: Poisson 1D -- I |
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A. T. Patera |
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FV Assignment Due |
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15 |
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Finite Elements: Poisson 1D -- II |
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A. T. Patera |
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16 |
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Finite Elements: Poisson 2D -- I |
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A. T. Patera |
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17 |
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Finite Elements: Poisson 2D -- II |
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A. T. Patera |
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18 |
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Finite Elements: General Elliptic Problems -- Overview |
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A. T. Patera |
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19 |
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Finite Elements: Parabolic Problems, Eigenvalue Problems |
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A. T. Patera |
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20 |
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Integral Equations: Derivation |
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J. White |
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21 |
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Integral Equations: Collocation and Galerkin Methods |
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J. White |
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22 |
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Integral Equations: Convergence Theory -- 2nd Kind |
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J. White |
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FE Assignment Due |
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23 |
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Integral Equations: Quadrature and Cubature |
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J. White |
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24 |
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Integral Equations: Nystrom Methods |
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J. White |
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25 |
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Integral Equations: Convergence Theory -- 1st Kind |
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J. White |
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26 |
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Integral Equations: Fast Solvers |
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J. White |
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BI Assignment Due |
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