Understanding the Error in Simpson's 1/8 Integration Method

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Homework Help Overview

The discussion revolves around understanding the error associated with Simpson's 1/8 integration method, particularly the derivation of the error term involving h^5 * f^4(c)/90 and its comparison to an expected error term of f^3(c).

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the derivation of the error term and question why f^3(c) appears to cancel out when integrating from -1 to 1. There is also a discussion about the accessibility of external resources related to the topic.

Discussion Status

The conversation includes attempts to clarify the derivation of the error term and the implications of using different integration limits. Some participants express difficulties accessing shared resources, which has led to further discussion about the reliability of links in the forum.

Contextual Notes

Participants mention issues with accessing external links, which may hinder the sharing of relevant information. There is an acknowledgment of varying experiences with the provided resources.

rootX
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[SOLVED] Simpson 1/8 Integration

How does it has an error of h^5 * f^4(c)/90
when Langrane/Newton of order 2 is used to derive this,
and you should get f^3(c) as an error?
 
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f^3 cancel out if you go from -1 to 1
I was using t as 0 1 2
http://www.jstor.org/sici?sici=0025-5572(197010)2%3A54%3A389%3C292%3A3ASDOT%3E2.0.CO%3B2-1&cookieSet=1
 
Last edited by a moderator:
Your link doesn't work. At least not for me.
 
It does work for me :D
It just an online book where they have derivation for the Simpson error.
 
It might work for you, but that doesn't mean it will work for everybody. I get "An Error Occurred Setting Your User Cookie" using firefox in linux. It's really best to avoid links if you want everyone to be able to see the problem.
 
Dick said:
It's really best to avoid links if you want everyone to be able to see the problem.
That's a solution though :rolleyes:
 

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