Top Welcoming Open-Source Julia Repositories

CPU/GPU portable array, parallel_for/parallel_reduce in Julia for productive science. Funded by the US DOE Advanced Scientific Computing Research (ASCR).

Utilities and abstractions for Machine Learning tasks

Model and solve optimal control problems in Julia, both on CPU and GPU.

Evaluating Robustness of Neural Networks with Mixed Integer Programming

Julia debugger

An open source model predictive control and moving horizon estimation package for Julia

HTTP for Julia

An opinionated code formatter for Julia. Plot twist - the opinion is your own.

Neural Network primitives with multiple backends

Fast and automatic structural identifiability software for ODE systems

High-performance reactive message-passing based Bayesian inference engine

Reservoir computing utilities for scientific machine learning (SciML)

Symbolic programming for the next generation of numerical software

Documentation for the DiffEq differential equations and scientific machine learning (SciML) ecosystem

Interpreter for Julia code

Clapeyron provides a framework for the development and use of fluid-thermodynamic models, including SAFT, cubic, activity, multi-parameter, and COSMO-SAC.

Designs for new Base array interface primitives, used widely through scientific machine learning (SciML) and other organizations

A Julia library of summation-by-parts (SBP) operators used in finite difference, Fourier pseudospectral, continuous Galerkin, and discontinuous Galerkin methods to get provably stable semidiscretizations, paying special attention to boundary conditions.

LinearSolve.jl: High-Performance Unified Interface for Linear Solvers in Julia. Easily switch between factorization and Krylov methods, add preconditioners, and all in one interface.

The official registry of general Julia packages

Template for Julia Programming Language packages using the copier engine.

nextgen MLStyle: Generic Algebraic Data Type + Pattern Match

Functions generated at runtime without world-age issues or overhead

Automatically update function definitions in a running Julia session

Read and write XML in pure Julia

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

Julia package for tensor contractions and related operations

Solid state detector field and charge drift simulation in Julia

A Julia machine learning framework

Quantum Toolbox in Julia

Mike's Little Intermediate Representation

A package for binary and continuous, single and multi-material, truss and continuum, 2D and 3D topology optimization on unstructured meshes using automatic differentiation in Julia.

A new language server for Julia, enabling modern, compiler-powered tooling.

Solution of nonlinear multiphysics partial differential equation systems using the Voronoi finite volume method

A differentiable simulator for scientific machine learning (SciML) with N-body problems, including astrophysical and molecular dynamics

Static Code Analysis for Julia

A Julia package to construct orthogonal polynomials, their quadrature rules, and use it with polynomial chaos expansions.

Lightweight and easy generation of quasi-Monte Carlo sequences with a ton of different methods on one API for easy parameter exploration in scientific machine learning (SciML)

SparseArrays.jl is a Julia stdlib for working with sparse matrices

SymbolicNumericIntegration.jl: Symbolic-Numerics for Solving Integrals

Implementation of a language-level autograd compiler

Collection of fundamental physical constants with uncertainties. It supports arbitrary-precision constants

Exploratory analysis of Bayesian models with Julia

Functional reactive programming extensions library for Julia

An interface to various automatic differentiation backends in Julia.

Taylor polynomial expansions in one and several independent variables.

High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)

A standard library of components to model the world and beyond

Finite element toolbox for Julia

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