In the first part of ¡­

In the first part of the lecture of today I have explained the discretized wave equation with his solution and the sability analysis (5.3 from the text book).

In the second part of the lecture I have derived the form of the wave equation. You can download the material for this at the following link:

http://folk.uio.no/iliamu/wave.pdf

For the next exercise lecture of Friday work on 5.4, 5.7, 5.9, 5.10, 5.11.

IMPORTANT: Next week we will to see the Energy argument for both the wave and the heat equation (sections 3.7, 4.5 and 5.2 from the textbook). We will also see the Maximum Principles (Chapter 6). Therefore next lecture on Tuesday 27 of April will be long 3 hours, from 2pm to 5pm.