Source code for the Processing Core and Development Environment (PDE)

A library for scientific machine learning and physics-informed learning

Learning in infinite dimension with neural operators.

An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physics-informed machine learning and automated transformations of differential equations

Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation

Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.

Simple finite element assemblers

Python package for numerical derivatives and partial differential equations in any number of dimensions.

Physics-Informed Neural networks for Advanced modeling

FEATool - "Physics Simulation Made Easy" (Fully Integrated FEA, FEniCS, OpenFOAM, SU2 Solver GUI & Multi-Physics Simulation Platform)

Source code for APDE: Create and run Processing sketches on an Android device.

The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems

Scientific machine learning (SciML) benchmarks, AI for science, and (differential) equation solvers. Covers Julia, Python (PyTorch, Jax), MATLAB, R

A Julia package to perform Bifurcation Analysis

Castro (Compressible Astrophysics): An adaptive mesh, astrophysical compressible (radiation-, magneto-) hydrodynamics simulation code for massively parallel CPU and GPU architectures.

A framework for hydrodynamics explorations and prototyping

Generalized and Personalized

Linear operators for discretizations of differential equations and scientific machine learning (SciML)

DeepONets, (Fourier) Neural Operators, Physics-Informed Neural Operators, and more in Julia

BOUT++: Plasma fluid finite-difference simulation code in curvilinear coordinate systems