Question about error theorem for simpsons rule

Thread starter badtwistoffate
Start date Dec 11, 2005
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Error Theorem

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The discussion centers on the error theorem for Simpson's Rule, specifically the equation E=|I-Sn|>= (k4 (b-a)^2 )/ (180 n^4). The variable I represents the exact value of the integral being approximated, while Sn denotes the approximation obtained using Simpson's Rule with n subintervals. Clarification is provided that I is indeed the integral itself, despite initial confusion about its definition. The conversation highlights the importance of understanding each parameter in the context of numerical integration. Overall, the exchange emphasizes the relationship between the exact integral and the approximation method used.

Dec 11, 2005

badtwistoffate

it is:
E=|I-Sn|>= (k4 (b-a)^2 )/ (180 n^4)

I know what all of the parameters mean except I, what is it again? It can't be the integral as that's why were using simpsons rule so is it a guess or? :blushing:

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Dec 11, 2005

CarlB

Science Advisor

Homework Helper

It is, in fact, the integral. Just because you don't know what it is doesn't mean you can't write an equation about it. S_n is the "n" guess.

Carl

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