Simpson's Rule Implementation trick?

[Namir]

(03-18-2016 11:15 PM)Vtile Wrote:  Why Simpson rule, why not ie. runge-kutta as isn't that the way when calculating numerical solution for integrals with high accuracy? I know must be rather idiotic question (since obviously it wouldn't discussed here if it would not have use), but need to ask to learn.

The Gauss-Krnorod quadrature is among the best numerical integration methods. This thread just comments on a little trick that I noticed in an article that discusses basic numerical integration methods. The code that initializes the sum of terms caught my attention .... that's all.

BTW, The Runge-Kutta methods are for solving ordinary differential equations.

Namir