hamilton-jacobi

A GPU-accelerated toolbox for hyperbolic PDEs in a weaker (viscosity) sense. It leverages the integral to the solution of the conservation of momentum problem (being equivalent to the derivative of Hamilton-Jacobi equations) in one spatial dimension. We resolve such hyperbolic differential equations using wave-front propagating schemes on a spat…

Continuous-Time/State/Action Fitted Value Iteration via Hamilton-Jacobi-Bellman (HJB)

LGI: Cortical Shape-Adaptive Local Gyrification Index

This is the code for the paper "On some neural network architectures that can represent viscosity solutions of certain high dimensional Hamilton–Jacobi partial differential equations" by J.Darbon and T.Meng (https://doi.org/10.1016/j.jcp.2020.109907)

Level-Set method examples

Codes for solving certain optimal control problems and Hamilton-Jacobi PDEs using neural networks.

A parallel solver for first-order static Hamilton-Jacobi PDEs

Solves a Hamilton-Jacobi PDE fast (in seconds) to gradient limit a scalar field defined in 2D or 3D.

Code for the paper "Filtered schemes for Hamilton-Jacobi equations: a simple construction of convergent accurate difference schemes" by Adam Oberman and Tiago Salvador. (http://dx.doi.org/10.1016/j.jcp.2014.12.039)

An experiment with time-independent Hamilton-Jacobi based physics simulator. Warning: This project is heavily AI-generated. The main idea was to explore stepping in delta s instead of delta t.

Teaching notes and numerical checks for proper time, energy-momentum angles, and static-spacetime factorization in relativity

Certificate-first mean-field games and network equilibria: two zero-dependency interactive laboratories and a validated Python kernel. Every claim ships with a certificate.