This is a small example of the application of the Romberg Integration Method


Romberg_Method.sm (13,84 KiB) scaricato 1344 volta(e).



Best Regards

Carlos

Wrote

This is a small example of the application of the Romberg Integration Method

n = 20 [your original] ... Smath 6179 didn't stop in 5 minutes.
Can't explain such incompatibility between versions ?

Thanks

... this doctored version works 6179, but so prohibitive in computation time.
n = 20 1200 sec. Romberg is like Simpson => occasionally more accurate.
All in all, if I would have to chose the most useful integrator, the choice
is Adaptive [from years of working that kind of maths]
I lost the Mathcad code, can survive with Simpson Domain ... any kind of accuracy,
for any meshing 'n'.

Thanks Carlos, for your contribution.

Jean

Romberg_Method [Doctored 6179].sm (13,84 KiB) scaricato 1101 volta(e).

By----Jean
n = 20 [your original] ... Smath 6179 didn't stop in 5 minutes.
Can't explain such incompatibility between versions.




With n = 20 on my PC the Algorithm takes 1 min 54.473 sec.
Being the same algorithm in different versions of the same program,
I guess the difference in time is given by the ability of the latest
software to take advantage of the power of the processor and the amount of RAM.

Obviously, the power and number of cores in the processor must also influence.

Regards

Carlos