Home | 18.01 | Chapter 16 | Section 16.1

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If f is expanded in a power series within each interval of size 2Dx about the interval's center, the error in each cubic approximation is of the order of c(Dx)4 which goes as n - 4.

There are such intervals, so that even if these errors accumulate (as they often don't) the resulting error will behave like n - 3.

The error in the trapezoid method goes to zero more like ; much more slowly than the error in Simpson's rule does.