Math 481
Fritz Keinert
Homework 1
due Tuesday, Jan 28, 2014
If you are using technology (Matlab, Mathematica, etc.), include a printout of the
relevant calculations.
1.
(a) Use Matlab (or some other program) to calculate the polynomial which
interpolates
Math 481
Fritz Keinert
due Tuesday, Feb 18, 2014
Homework 2
If you are using technology (Matlab, Mathematica, etc.), include a printout of the relevant
calculations.
1. Solve the ODE
t2
y(t)
2 ,
t
y (t)
y(1) = 1
y (t) =
on the interval [1, 1.7], using th
Math 481
Fritz Keinert
due Thursday, May 8, 2014, by 5pm
Final Homework
In the interest of full disclosure of what I would like to see, I have added some instructions
for the grader in the places where the solutions will go later.
This is the version post
Math 481
Fritz Keinert
Homework 3
due Tuesday, Mar 11, 2014
If you are using technology (Matlab, Mathematica, etc.), include a printout of the relevant
calculations.
1. This is a very simple problem, just a preparation for the following problem. Use Matla
Math 481
Fritz Keinert
due Tuesday, April 29, 2014
Homework 5
1. Richardsons method for the standard parabolic PDE ut = uxx is based on the nite
dierence formulas
uj, +1 uj, 1
(ut )j =
,
2k
uj+1, 2uj + uj1,
(uxx )j =
.
h2
I have stated in class that this
Math 481
Fritz Keinert
due Tuesday, April 8, 2014
Homework 4
Let Pn be the matrix which results from the nite dierence discretization of Laplaces
equation 2 u = 0 or Poissons equation 2 u = f in two dimensions. Pn is a block tridiagonal
matrix of size (n
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