Simpson's Rule Implementation trick?

[Dieter]

(03-19-2016 02:21 PM)Namir Wrote:  I have implemented a variant of the Romberg method that uses Simpson's rule to start with instead of teh Trapezoidal rule. You can find this variant method on my web site.

Yes, I have seen this some time ago and I tried some of the VBA code (after some modifications for my older Excel version). Interesting results, the Romberg-Simpson method looks quite promising. However, on a calculator with limited ressources I prefer the Simpson method with additional extrapolation.

Now the next step would be an improvement for periodic functions, i.e. something that uses nodes that are not evenly distributed. Such a method is also used in the original 34C Integrate method.

BTW... Namir, could you please correct the typo in the subject of your initial post? The way it is written now ("Simpron") noone will be able to find this thread while searching the forum.

Dieter