List of the simulations

Here is the list of my current/past projects, those which do not contain a link are still under development at the moment and I hope to upload them soon!

Mathematics

• Galois group of a given polynomial
• A matrix spectrum localization Theorem
• 2D spinning Fourier Transform
• The Ising model
• Percolation
• Epidemic Model and Lotka-Volterra extension
• Chaotic pendulum + dissipative version
• Julia and Mandelbrot sets
• Pick's theorem : area of a polygon
• Brouwer's fixed point Theorem in a coffee mug
• The Gibbs phenomenon & image compression
• An algebraic overview of the discrete Fourier Transform

Physics & Chemistry

• Newton's canon and orbit basics
• Solitons and their collision
• The Ising model
• Phase separation (Cahn-Hilliard equation)
• Reaction-diffusion Structures (Gray-Scott Reaction)
• Dangers of the flutter effect in aerodynamics
• Chaotic pendulum + dissipative version
• Brownian particle aggregates
• Group theory and Chemistry

Neural Networks

• Universal function Approximation
• Overfitting
• Handwritten digits processing visualized
• Gradient method design
• LateX symbol reconnaissance
• Geometrical theory of Deep Learning/Manifold Parametrization
• Dissecting a Long Short Term Memory cell