In this first Section concerning numerical methods we will discuss some of the issues involved with doing arithmetic on a computer. This is an important aspect of engineering. Numbers cannot, in general, be represented exactly, they are typically stored to a certain number of significant figures . The associated rounding error and its accumulation are important issues which need to be appreciated if we are to trust computational output.

We will also look at ill-conditioned problems which can have an unfortunate effect on rounding error.


Learning Outcomes

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