Hi All,

I posted an article (as a pdf file) on my web site. You can download it if you click here.

The article is a result of some basic investigation to enhance the Trapezoidal method by using additional points inside each integration interval. My new approach produces some improvements over the basic Trapezoidal rule using weights with points inside the interval. Interestingly, the new method does very well when these weights match those of Simpson's rule, Simpson's 3/8 rule, and other similar methods. The article explains how you can mix the Trapezoidal method with better methods when the scheme of the latter are applied to each integration interval in an isolated or compartmentalized manner. The article shows the source code for VBA functions that implement the various algorithms covered by the article.

Namir