Automatic Differentiation Library for Computational and Mathematical Engineering

Universal modeling and simulation of fluid mechanics upon machine learning. From the Boltzmann equation, heading towards multiscale and multiphysics flows.

Innovative, efficient, and computational-graph-based finite element simulator for inverse modeling

Two solutions, written in MATLAB, for solving the viscous Burger's equation. They are both spectral methods: the first is a Fourier Galerkin method, and the second is Collocation on the Tchebyshev-Gauß-Lobatto points.

🚧 Project for solving differential equations numerically, applied to physics

A solution, written in C, to Korteweg de Vries using the fourth order Runge-Kutta method and finite differences.

Solution to Burger's Equation (inviscid), written in C, using Adams-Bashforth Methods. These methods include the one, two, and three step algorithms.

A solution, written in C, to the heat equation using Crank-Nicholson and finite differences.

Code corresponding to paper "Robust time-discretisation and linearisation schemes for singular and degenerate evolution systems modelling biofilm growth" implemented in python using FEniCSx. It covers the biofilm model and the porous medium equation.