0 like 0 dislike
0 like 0 dislike
A website that lets you simulate and visualize almost any second order evolution equation

10 Answers

0 like 0 dislike
0 like 0 dislike
This is very impressive.
0 like 0 dislike
0 like 0 dislike
You remind me that I wanted to add custom equations to my complex-image transformation web-thingy for ages.

But your website is way cooler than mine will ever be lol
0 like 0 dislike
0 like 0 dislike
dope
0 like 0 dislike
0 like 0 dislike
What is the numerical method that is used?
0 like 0 dislike
0 like 0 dislike
Mathematically speaking what’s the visualization method? Finite element or something?
0 like 0 dislike
0 like 0 dislike
this is great! i like making it blow up
0 like 0 dislike
0 like 0 dislike
Very cool! Messed around a little and this was my favorite so far:


{
  "laplacian": 0.5,
  "cubic": 0.1,
  "identity": 20,
  "derivative": 0.1,
  "noise": 0,
  "defaultLaplacian": 40,
  "defaultCubic": 1,
  "defaultIdentity": 0.2,
  "defaultDerivative": 0.3,
  "defaultNoise": 2,
  "inputStrength": 5,
  "inputRadius": 50,
  "colorSensitivity": 50,
  "colorMixRatio": 0.13,
  "colorExponent": 1,
  "colorMixExponent": 1,
  "colorCap": 0.98,
  "colorPattern": 1,
  "scaleX": 1,
  "scaleY": 1,
  "scaleT": 0.02,
  "maxVal": 100000,
  "speed": 1,
  "delay": 6,
  "boundaryCondition": 2,
  "useCustomEquation": false,
  "equation": "u_tt = u_laplace * Delta_u \n - u_identity * sign(u) * sqrt(abs(u))\n - u_derivative * u_t \n - u_cubic * u * u * u \n + u_noise * noise \n",
  "defaultEquation": "u_tt = u_laplace * Delta_u \n - u_identity * u \n - u_derivative * u_t \n - u_cubic * u * u * u \n + u_noise * noise \n",
  "displayedQuantity": "u",
  "initialDataFunction": "(x,y) => [0.05*y*Math.sin(0.1*x)+0.03*y*Math.sin(y),0.01*x*Math.cos(0.1*x)]"
}
0 like 0 dislike
0 like 0 dislike
I haven't worked much with PDEs of this form, but I'm interested in how you guarantee convergence of the numerical method for nonlinear F? For the numerical analysis I do, there are very specific types of schemes needed to guarantee the numerical scheme actually converges. Wondering if you have any similar theory?

Very cool idea though, the visuals do like very nice!
0 like 0 dislike
0 like 0 dislike
I pasted in that JSON but it didn't seem to update any of the parameters. Any idea what's wrong?

This looks awesome!
0 like 0 dislike
0 like 0 dislike
This is nuts hahaha I love it

Related questions

0 like 0 dislike
0 like 0 dislike
41 answers
serapduygulu asked Jun 21
What is the best layman interpretation of any mathematical concept you have seen?
serapduygulu asked Jun 21
0 like 0 dislike
0 like 0 dislike
10 answers
0 like 0 dislike
0 like 0 dislike
62 answers
VivianBala asked Jun 21
Do any of you guys dream about your math work in your head? OR just math in general?
VivianBala asked Jun 21
0 like 0 dislike
0 like 0 dislike
3 answers
SalvadorHeresi asked Jun 21
Is there any reason to believe that big unsolved conjectures are either provable / disprovable in ZFC?
SalvadorHeresi asked Jun 21
0 like 0 dislike
0 like 0 dislike
18 answers
LillyTrials asked Jun 21
Can a special case be generalized in more ways than one? Any well known examples?
LillyTrials asked Jun 21

33.4k questions

135k answers

0 comments

33.7k users

OhhAskMe is a math solving hub where high school and university students ask and answer loads of math questions, discuss the latest in math, and share their knowledge. It’s 100% free!