|From:||Jose Ramom Flores das Seixas|
|Subject:||Journal of negative results in Octave?|
|Date:||Mon, 23 Sep 2019 16:35:16 +0200|
|User-agent:||Mozilla/5.0 (X11; Linux x86_64; rv:60.0) Gecko/20100101 Thunderbird/60.8.0|
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.
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 .
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.
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.
Description: Text Data
Description: Adobe PDF document
|[Prev in Thread]||Current Thread||[Next in Thread]|