A GPU is also a great tool for general-purpose computations. There are a few ways to couple it with Wolfram Language:

• CUDALink
• OpenCLLink
• LibraryLink

The first option requires hardware from Nvidia, which is a massive drawback considering there are many other processors on the market capable of crunching numbers. The last option allows integrating any dynamic library written in C/Rust (probably there are other bindings as well) into our Kernel, but the amount of effort required to write a general-purpose GPU library and deal with cross-platform issues is quite cumbersome and defeats the whole purpose of using WL here.

We will go with the most cross-platform and hardware-agnostic solution: OpenCL 🚅

By simply computing the covariance matrix and finding its eigenvectors and -values, you can determine the principal axes and the corresponding lengths of the ellipse.

Using Wolfram Language and WLJS

In this notebook we will apply some optimizations to the code, expand the resolution and switch to immediate mode of graphics rendering.

Using Wolfram Language and WLJS libraries

In this notebook, we will continue to explore a simple technique for simulating 2D incompressible fluids for visual effects. This work is mostly based on Jos Stam. Stable Fluids SIGGRAPH 1999 as well as a tutorial by Karl Sims

Using Wolfram Language and WLJS libraries

In this notebook, we will explore a simple technique for simulating 2D incompressible fluids for visual effects. This work is mostly based on Jos Stam. Stable Fluids SIGGRAPH 1999 as well as a tutorial by Karl Sims

Solving Maxwell's equation for 1D case with two interfaces. Based on the work of John B. Schneider "Understanding the Finite-Difference Time-Domain Method" 2023 we will try to solve 1D Maxwell's equation for electro-magnetic wave propagating through a non-dispersive plate

A example of creating and using boundary mesh for solving equations on them.

Here we will solve simple 2D wave-equation and visualize it in realtime using polygons

Using a single Lorentz-Oscillator model we model the responce of a materials with a variable thickneses

It is quite tricky to make an efficient function for plotting dynamic 3D surfaces, which change with time using a high-level code such as Wolfram Language.

Working in condensed matter physics, I (JerryI) often need to represent crystal structures based on their CIF, JSON, or other formats. Sometimes, it is quite tricky to parse these data files since you also need to determine the given symmetry operation when constructing a unit cell. Here, we will do it using AI Copilot 🤖

Bad 🍎 animation by Anira group originally based on ZUN's work for bullet shoot 'em up game Touhou Project is remarkable cultural internet phenomenon often used for testing and demonstrating the features of some old hardware, algorithms, graphics systems or other esoteric medium. And in general as an of art object - Bad Apple shadow animation is just eye-catching and amazingly crafted piece ✨. Not even mentioning hot pumping 16-bit flavoured tune and a beautiful voice of Nomico (のみこ).

I (me @JerryI) have seen it many times popping up still in 2024, even as a Fluid Simulation and have been questioning myself why not anyone to try to implement it lively using some scientific software like Jupyter or Matlab or Wolfram Language and a standard plot function? It could fun

This is going to be our first dev-log post here 🦄

Today we will implement a simple gauge using Javascript and HTML and then integrate it to Wolfram Language.

I have been always amazed by a fascinating procedural animation using in some games like Rain World. The key feature there is that you define sort of a target points for a model and a clever algorithm figures out the way how each bone or "leg" will move to achieve the goal. This is a common problem of kinematics. Let's start with the simplest approach