Educational materials on Youtube

Testing whether AI can solve a 4th-order, nonlinear, stiff vector PDE with negative viscosity.

Lecture on vectors and tensors using index notation

20-lecture series on undergraduate-level math (ODEs, PDEs, Fourier, Laplace, similarity transform, Bessel functions)

8-lecture series on graduate-level data-driven methods (machine learning, physics-informed neural nets, sparse regression, embedding)

Particle dynamics simulator

Use your mouse to drag particles!

If you see nothing, hit the "Reset" button to initiate particles.

Generated by ChatGPT GPT-5 with the single line:

"Generate an html interactive simulator of Stokesian dynamics simulations of 100 Brownian particles. I want to drag particles with my mouse and look at the response on all other particles in the simulator."