Homework #11: One-step methods. Due on Monday, November 26.
Each question is four points. This homework is optional.
We are solving the following initial-value problem:
and y (0) = y0 .
d
dt y (t)
= f (t, y (t) for t 0
1. Find the increment function of th
Homework #2: Krylov subspaces methods. Due on Monday, March 4.
In what follows, we apply some Krylov subspaces methods to numerically invert
the matrix equation
Ax = b
associated to the ve-point nite dierence approximation of the model problem
u = f
in :=
Homework #1: Classic iterative methods. Due on Monday, February 18.
In what follows, we study the performance of three classic iterative methods for
numerically inverting the matrix equation
Ax = b
associated to the ve-point nite dierence approximation of
Homework #13: Adaptive Runge-Kutta methods. Due on the last day of
classes.
The rst two problem are four points. The last is eight.
d
We are solving the following initial-value problem: dt y (t) = y (t) for t 0 and
y (0) = y0 . We use the following genera