3 ms·
I used this "trick" in many contexts in grad school. Later on, I learned that my bible, Gradsteyn and Rhyzik, also used similar techniques for some of the inte
by hpcjoe 6y ago
I used this "trick" in many contexts in grad school. Later on, I learned that my bible, Gradsteyn and Rhyzik, also used similar techniques for some of the integrals. I don't have the reference for this, it was verbally conveyed by a professor to me.
I used this in my thesis, in comparing an analytical solution to a problem to a numerical solution, in order to determine some parameters of the numerical solution for idealized wavefunctions. My simulations needed non-idealized wavefunctions, and this mechanism enabled me to optimize parameters for this, and set approximate error bounds.
It (math) really is a science, but there is a strong aspect of artistry involved.
- tobmlt 6y agoOh man, Gradsteyn and Rhyzik! My masters was about modifying potential flow singularities (Singularities to cancel other singularities... eh hem, I was young) to model vortices shed from blunt surfaces - part of fast/cheap performance prediction for wave energy converters. Didn’t work amazingly well physically, but I will never forget the fun I had that summer figuring out some how to work with those singular integral equations. Working on a set of terms until at long last a form emerged that matched with R&G was such a breakthrough moment!