Re: [boost] Re: Numerical Integration - continued

From: Miroslav Silovic (miro_at_[hidden])
Date: 2002-10-23 10:37:28

Martin Weiser wrote:

>Let me be more detailed in order to ensure we're talking about the same 
>things. Omitting genericity,
>
>double integrate_step(double dx, double dt) {
>	// compute increment from dx and dt. Only possibility:
>	return dx*dt;
>}
>  
>
Sorry for replying to you, rather than the original poster... I don't 
have that post any more. :)

The issue is that this thing makes sense for solving ODEs, but is pretty 
useless for the numeric integration. While numeric integration is a 
special case of solving ODEs, the actual algorithms are completely 
different... the main difference being that ODEs tend to be solved 
stepwise, while functions get integrated in order that isn't even 
necessarily sequential (Romberg algorithm is the primary culprit here).

    Miro