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

bandikizaui

bandikizaui

Answered

2022-07-15

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

Answer & Explanation

bap1287dg

bap1287dg

Expert

2022-07-16Added 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 ...

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get your answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?