New answers tagged approximation-theory
2
votes
Why exactly is Simpson's rule better than the Trapezoidal rule?
This question is likely to be closed as not research level.
In any case, the point is that one typically is not interested in numerically integrating functions about which nothing whatsoever is known (...
- 3,065
3
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Why exactly is Simpson's rule better than the Trapezoidal rule?
This is a textbook question. The Simpson rule is exact (no error at all) when $f$ is a polynomial of degree $\le3$, while the trapezoidal rule is exact only for degree $\le1$ (affine functions). The ...
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