Object-oriented constructor of finite difference schemes

Code and Selected problems - Numerical Solutions of Wave Equations

We modeled groundwater particles trajectories as a random-motion and computed their probability of polluting a well. We compared different Montecarlo techniques with a deterministic approach based on PDEs

Oscillatory models of FHN

just a simple example project showcasing the usage of Eigen for solving the Laplace equation on a 2d grid, and its usefulness.

Projet sur la résolution de l'Équation d'Onde et de sa visualisation dans le cas des Figures de Chladni et pour un corps de guitare à géométrie variable.

Computational framework for solving the radiative transfer equation in one spatial dimension using a Godunov-type finite volume method with piecewise linear reconstruction of the solution within each cell of the computational domain.

Solution to a single 2d Burgers' equation via Matrix equation solvers

Basic simulations and analysis of a certain traveling-front case of the 1-dimensional Time-Dependent Ginzburg-Landau Equation with a bistable polynomial reaction function. Includes a paper with a detailed account of this work.

Implementation of Fourier Neural Operator from scratch

Uncertainty-penalized Bayesian information criterion (UBIC) for PDE Discovery

Simulations for a minimal model of the dynamics of wave propagation of the action potentials in human ventricular tissue. In 2016.

A program designed to solve partial differential equations using neural networks, that uses Theano for symbolic computation.

Python code for the paper "Binary classification as a phase separation process", by Rafael Monteiro. Further information can be found in the tutorial website below.

Full finite-element code from scratch with SIMD-accelerated equation solver based on conforming finite elements with tests and example solution to Laplace equation.

This is the code that supplements arXiv:2009.08875, where we describe a parallel algorithm for solving linear parabolic equations.

Finite element solver of diffusion-reaction systems

Perturbation Analysis for Parabolic Partial Differential Equations

C++ code for pricing options under Feller-Levy models using the Finite Element Method