Truncation Error/Examples
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Examples of Truncation Errors
Trapezoid Rule
Let the trapezoid rule be used to integrate $\cos x$ over the closed interval $\closedint 0 {0.8}$ using $8$ subintervals of length $0.1$.
Because $\size {\map{f} x} \le 1$, the truncation error cannot exceed a value given by:
- $E \le \size {\dfrac {\paren {0.1}^2 \times 0.8} {12} } = 0.00067$