Problem 3

Due Feb 1 1996.

Write a discretization for the wave equation, using this molecule:
* * *
( * )
*

What is the order of accuracy of this method? What is the satbility
region of the method?

Consider a completely symmetrical molecule:

* * *
( * * * )
* * * .

For an implicit scheme (nonzero weights on all the future
points) find which weights lead to a second order scheme.
What are the values of the weights that lead to stable schemes?

Note that these problems are not computational problems,
but should be solved by analysis as we have done in class.