Re: [boost] Re: Numerical Integration - continued

From: Harry Erwin (harry.erwin_at_[hidden])
Date: 2002-10-24 04:20:39

On Thursday, October 24, 2002, at 10:00 AM, Martin Weiser wrote:

> On Mittwoch, 23. Oktober 2002 21:52, Matthias Troyer wrote:
>> I am confused about the scope of a numerical integration library. It
>> seems that three things are being mixed up here:
>>
>> i) 1D integration of a function with x-points determined by the
>> algorithm (e.g. Romberg integration)
>>
>> ii) Integration of first order ODEs by some algorithm (e.g.
>> Runge-Kutta)
>>
>> iii) Forward Euler integration of an ODE with fixed step witdh delta_x
>> and values of the derivative, given by some external function.
>>
>> While I agree that both i) and ii) would be interesting libraries, the
>> usage case iii) which seems much discussed does not warrant a separate
>> library in my opinion.
>
> Agreed. Let me add that I think the interface to i) is more or less
> straightforward, while the interface to ii) is much more complex and 
> less
> obvious.

I actually did ii) for my PhD research. It will need some polishing, but 
it's a starting point. I'll forward the code.

>
> Yours,
> Martin
>
> --
> Dr. Martin Weiser            Zuse Institute Berlin
> weiser_at_[hidden]                Scientific Computing
> http://www.zib.de/weiser     Numerical Analysis and Modelling
>
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