I am emailing a link of this to everyone on the class list every week. If you are not receiving these emails or want to have them sent to another email address feel free to email me at jpmccarthymaths@gmail.com and I will add you to the mailing list.

Test

Please find a sample – (bit of a mistake here — change all the $N$s to plus rather than minus).

Week 5

We continued finished our work on the Jacobi Method and the similar Gauss Siedel Method.  We summarised the five methods that we developed for solving linear systems; weighing up the pros and cons of each. Finally we started our work on Laplace Methods by talking about infinite integrals.

Week 6

Next week we will work slowly and deliberately developing our Laplace stuff. We will also have our test on Thursday.

Tutorials

This week coming it is, and I will be enforcing it

13:30 Groups S2 and S3 (A-L)

14:30 Groups S1 and S3 (M-Z)

Yes the following table should be A-L and M-Z not A-L and K-Z!

Diagonally Dominant Systems

We use the Jacobi & Gauss-Siedel Methods for solving diagonally dominant linear systems. I wasn’t sure where diagonally dominant systems show up in Civil Engineering but a quick Google shows me that they come up in finite element analysis. This is a technique to numerically solve differential equations that we can’t solve exactly: in some sense most useful differential equations can’t be solved exactly and finite element analysis is a method for approximating solutions.