[ 3 / biz / cgl / ck / diy / fa / ic / jp / lit / sci / vr / vt ] [ index / top / reports ] [ become a patron ] [ status ]
2023-11: Warosu is now out of extended maintenance.

/sci/ - Science & Math

View post   
File: 57 KB, 645x729, pqafkb6d9ba01.jpg [View same] [iqdb] [saucenao] [google]
10741863 No.10741863 [Reply] [Original]

Redpill me on Numerical Analysis

>> No.10741905
File: 19 KB, 220x339, TIMESAND___yu3i3()_jwbhbs5evyu3i3()_jwb7y0031vctrws5edrthws5ev7yhv988).jpg [View same] [iqdb] [saucenao] [google]
10741905

>>10741863
The redpill about numerical analysis is this:
When you see ridiculous integrals and wonder, "How can anyone solve that?!?!?," the answer is probably that no one ever does solve them. Tough looking integrals are usually literally unsolvable. Instead we approximate them by quadrature.

Same thing really with tough looking systems of ODEs and PDEs. Sometimes you might wonder, "How could anyone ever solve something like?!?!?" The answer is that they usually don't, and most of those systems are literally unsolvable. We just plop these equations into the Runge-Kutta approximation module.

>> No.10743051

>>10741905
>using Runge Kutta
Implicit solution is the most accurate

>> No.10743097

Interpolation doesn't actually work for estimatives, we just pretend it does.