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Offline Javier Ochoa  
#1 Posted : 16 May 2023 16:51:42(UTC)
Javier Ochoa


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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 23 time(s).

romberg_integration.sm (31kb) downloaded 22 time(s).
Offline Jean Giraud  
#2 Posted : 16 May 2023 21:59:09(UTC)
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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 18 time(s).
thanks 1 user thanked Jean Giraud for this useful post.
on 17/05/2023(UTC)
Offline Javier Ochoa  
#3 Posted : 17 May 2023 01:21:42(UTC)
Javier Ochoa


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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,
Offline Jean Giraud  
#4 Posted : 17 May 2023 13:56:59(UTC)
Jean Giraud

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Originally Posted by: Javier Ochoa Go to Quoted Post
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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