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 (37.43 KiB) downloaded 326 time(s).

romberg_integration.sm (30.11 KiB) downloaded 371 time(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 (36.12 KiB) downloaded 333 time(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,

Wrote

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.