This repository contains GPU implementations of PDE solvers and physics-informed neural networks for Navier–Stokes, Burgers, and related nonlinear equations, using CUDA C++ and PyTorch. The picture is the Burgers benchmark solved exactly, not output from these notebooks.
Fig. 1Burgers’ equation with ν = 0.01/π, drawn one time slice at a time: the sine wave steepens into a shock at x = 0. Exact solution by the Cole–Hopf transform, computed for this figure. It is the benchmark PINNs are fitted to, not output from the repository’s networks.
