December 2008
Intermediate to advanced
304 pages
6h 26m
English
Content preview from Numerical Methods with VBA Programming
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3 Errors, Series, and Uncertainty
3.1 Types of Errors
Errors in numerical analysis result because we are making approximations. If we are approximating a noninteger, we have to write it to a finite number of places: for example, we may write 1 as 0.33 or 0.3333 or 0.333 333 333 333, but at some point we are going to stop writing 3′s and thus slightly underrepresent the exact value. The opposite occurs with 3 when eventually we round up the last 6 to a 7 and thus slightly overrepresent the quantity. These differences constitute round-off error.
On the other hand, if we are evaluating a series, we may take 1 or 5 or even 100 terms, but eventually ...
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