Acron RPN announces v3.0 BETA

[Dieter]

(09-07-2017 10:34 AM)Paul Dale Wrote:  Romberg is an easy choice and is adaptive.

"Adaptive" – that's what I meant when I said it was "iterative". #-)

(09-07-2017 10:34 AM)Paul Dale Wrote:  As for trapezoidal vs rectangular, ...

Let's not forget that the Romberg method is based on the Trapezoidal rule. It just does a clever extrapolation based on a quite good error estimate. ;-)

FWIW, I think something like the Trapezoidal method or even the much better Simpson rule really should not get implemented in a current calculator. That's like calculating trig and log functions with just five significant digits. My first calculator back in 1977 did so, but some things have changed since then. ;-)

Dieter