Which rule for numerical integration is more accurate, the Trapezoidal

bandikizaui

bandikizaui

Answered question

2022-07-15

Which rule for numerical integration is more accurate, the Trapezoidal Rule or the Simpson Rule?

Answer & Explanation

bap1287dg

bap1287dg

Beginner2022-07-16Added 13 answers

The error formulas are:
E T = h 2 12 ( b a ) f ( ξ 1 )
E S = h 4 180 ( b a ) f ( ξ 2 )
So you can imagine that, even if f and f have similar magnitudes, if h is large the trapezoidal method can perform better. Also, if f is C 2 but not C 4 ...

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