Assignment 1

Due February 18, 1997

Please do the following problems from the Varga, Matrix Iterative Analysis handout:

A.	Page 178, problem 1
B.	Page 192, problem 1
C.	Page 192, problem 2 (skip the last sentence)

Next solve (preferably with Matlab, but you can use anything you like instead) the following ODE:

where

and f(x) is derived from the real solution

u(x) = xsin(pi*x). Show on paper what the discretization using finite differences. Then use Jacobi's method, Gauss-Seidel, and SOR with a few choices of relaxation parameters. Give the number of iterations needed to reduce the error by a factor of 1000, starting from an initial guess of 0.

Cheers,
Craig C. Douglas

This is http://www.ms.uky.edu/~ccd/ma625/a1.html.
Back to http://www.ms.uky.edu/~ccd/ma625.