(11C) Gaussian integration

[Dieter]

(01-11-2014 09:23 PM)Jeff_Kearns Wrote:  Too bad HP didn't use this method on the 34C instead of Romberg.

Definitely not. This method surely has its advantages, but - unlike the Romberg method - it is not adaptive. The modified Romberg algorithm in the 34C will reliably handle cases that will not work well with the Gaussian method. The WP34s originally used a (much more sophisticated) Gauss quadrature algorithm. This was changed to Romberg's method because of the mentioned reasons.

Quote:Would love to see it adapted to the HP-29C... ;-)

Well, that's easy. Simply change the labels (e.g. 0→2, A→0 and E→1) and replace register 0 with 4 and I with 0 – the 19C and 29C use R0 instead of I as their loop counter. Of course "DSE" becomes "DSZ" here.

Dieter