Math 243A, Fall 2012
View this page in French, courtesy of Anna Chekovsky
Midterm time: October 16, in class
Final exam time: December 13, 2012, 5:15-7:30pm
Course material
Homework:
- Due September 6, 2012: Download the code homework1.m. Figure out, as a function of the input n, what its complexity is.
- Due September 20, 2012 here.
- Due September 27, 2012 here.
- CANCELLED. Due October 4, 2012 here.
- Due October 18, 2012 here.
- Due November 8, 2012: Solve the heat equation on the L-shaped subregion of [0,1]x[0,1] which excludes [0,1/2]x[0,1/2]. For boundary conditions take sin(3(x+y)). Use any method you want and any size mesh. Compute the true temperature at the point (3/4,3/4) to 4 significant digits. (I.e., you not only want, say, Jacobi, to converge, but you want the first four digits to not change if you take a finer mesh!).
Turn in your code, an explanation of what you did, and the temperature you computed.
- Due November 22, 2012 here.
- Due November 29, 2012: Determine the sag, u(0.5,0.5), at the center of a square membrane on [0,1]x[0,1] to 4 significant digits. It satisfies u_{xx}+u_{yy}=1. Choose an appropriate number of subdivisions and use SOR or FFT based methods to ensure 4 digits of accuracy.
Turn in your code, an explanation of what you did, and the sag you computed.
- Due December 4, 2012 here.
Final project:
- It's here. Must be e-mailed to me by 5pm on 12/13/12.
Other resources:
- Lecture Notes from the same course I taught at M.I.T., based on the book by Strikwerda.