Simpson versus Trapezoidal method used for integration

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Simpson versus Trapezoidal method used for integration - The Trapezoidal method is compared with the Simpson method, both using Richardson extrapolation

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Javier Ochoa		#1 Posted : 16 May 2023 16:51:42(UTC)
Rank: Member Groups: Registered Joined: 28/03/2023(UTC) Posts: 26 Location: San Miguel de Tucumán Was thanked: 3 time(s) in 3 post(s)		Hi, I was trying to understand how to use the numerical integration with the Simpson and Trapezoidal method. I could also explain the difference between the two methods, based on an example found in the forum. I also applied the numerical integration to found the flow rate of a pump during the start up and shut down processes, which is useful to some degree for many engineers. Hope it help, Kind regards, romberg_integration_exmple.sm (38kb) downloaded 21 time(s). romberg_integration.sm (31kb) downloaded 19 time(s).
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Jean Giraud		#2 Posted : 16 May 2023 21:59:09(UTC)
Rank: Guest Groups: Registered Joined: 04/07/2015(UTC) Posts: 6,723 Was thanked: 961 time(s) in 789 post(s)		Trapeze suits better certain functions vs Simpson. The converse is true: Simpson fits better certain function vs Trapeze. Romberg/Simpson kernel is a much different story. It converts the range of the variate of integration [0 ..1] Last example: Trapeze better than Simpson ... poor vs ∫kernel. Cheers ... Jean. Integral COMPANION Trapeze.sm (37kb) downloaded 15 time(s).

1 user thanked Jean Giraud for this useful post.		on 17/05/2023(UTC)
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Javier Ochoa		#3 Posted : 17 May 2023 01:21:42(UTC)
Rank: Member Groups: Registered Joined: 28/03/2023(UTC) Posts: 26 Location: San Miguel de Tucumán Was thanked: 3 time(s) in 3 post(s)		Hi Jean, I will take a look at your worksheet in orden to understand your advice. I always wish to learn a bit more. Thanks,
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Jean Giraud		#4 Posted : 17 May 2023 13:56:59(UTC)
Rank: Guest Groups: Registered Joined: 04/07/2015(UTC) Posts: 6,723 Was thanked: 961 time(s) in 789 post(s)		Originally Posted by: Javier Ochoa Hi Jean, I will take a look at your worksheet in order to understand your advice. Visit Samples about Trapeze Integration, will be attached today. Cheers ... Jean.


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