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Re: Journal of negative results in Octave?

From: Nir Krakauer
Subject: Re: Journal of negative results in Octave?
Date: Mon, 23 Sep 2019 12:03:03 -0400

Looks like nice work. arXiv may be a good place to quickly post such a
result where anyone can find it, and a repository like BitBucket or
GitLab for making the program developed available.

On Mon, Sep 23, 2019 at 11:42 AM Jose Ramom Flores das Seixas
<address@hidden> wrote:
> I would like to know if there is something like The negative results Journal 
> for octave functions?
> The reason I ask is because I implemented a quadrature for strongly 
> oscillating functions, quadgF, but after comparing it with octave function 
> quadgk I found, to my disappointment, that my function was not generally 
> faster than quadgk.
> The quadgk and quadl functions allowed to integrate strongly oscillating 
> functions, but they are slow for my needs: perform diffraction calculations. 
> Browsing the bibliography on the subject, I found an article by L.F. 
> Shampine, reference [1], which describes an algorithm that seemed easy to 
> implement to me. In fact, the proposed algorithm is an improvement of the SSP 
> method [2,3], which possibly Mr. Shampine did not know, since he does not 
> mention it in his bibliography.
> In his article, Professor Shampine talks about a function he implemented, 
> quadgF, based on the algorithm, but as much as I looked for it I couldn't 
> find it -quadgF.m-. So I implemented it as well as I could, trying to 
> vectorize it as much as possible, and kept the name used in [1].
> It is quite possible that the reason why Professor Shampine's function has 
> disappeared from the radar is precisely what I found after writing my 
> implementation, i.e. that, in general, has no advantages over general 
> functions like quadgk.
> Anyway, for if my implementation served someone, either because he/she 
> improved it and got more speed, or to avoid wasting time doing what I already 
> did, I send attached the function I wrote, quadgF.m, and a document, 
> quadgF.pdf, describing the algorithm and my implementation, as well as an 
> analysis that compares my function and quadgk.
> Yours sincerely
> Jose Ramom
> References
> 1Shampine L.F., Integrating oscillatory functions in MATLAB, II. Electronic 
> Transactions on Numerical Analysis, volume 39, pp 403-413, 2012.
> 2Stamnes J.J., Spjelkavik B. & Pedersen H.M., Evaluation of diffraction 
> integrals using local phase and amplitude approximations. Opt. Acta 30, 
> 207-222, 1983.
> 3Stamnes J.J., Waves in focal regions: propagation, diffraction and focusing 
> of light, sound and water waves. Adam Hilger, 1986.

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