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Numerical Methods for Partial Differential Equations (SMA 5212) >> Content Detail

Calendar / Schedule

Calendar

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

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Courses:

Numerical Methods for Partial Differential Equations (SMA 5212) >> Content Detail

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Calendar / Schedule