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

Library for the numerical simulation of closed as well as open quantum systems.

Trixi.jl: Adaptive high-order numerical simulations of conservation laws in Julia

Julia Implementation of Transformer models

Meta-package for data analysis in Julia, modeled after the R tidyverse.

A Control Systems Toolbox for Julia

An extensible framework for geospatial data science and geostatistical modeling fully written in Julia

Julia implementation of QuantEcon routines

Compiles Julia code to a standalone library (experimental)

Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software.

Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software.

Climate Machine: an Earth System Model that automatically learns from data

Black-box optimization for Julia

Statistical plotting recipes for Plots.jl

Density-functional toolkit

Play atmospheric modelling like it's LEGO.

Combine ingredients for a plot

Probabilistic programming via source rewriting

Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization

A Julia package for fitting (statistical) mixed-effects models

Molecular simulation in Julia

Computational geometry in Julia

A data structure for mathematical optimization problems

A Julia/JuMP Package for Power Network Optimization

Julia package with selected functions in the R package `rethinking`. Used in the SR2... projects.

"Distributions" that might not add to one.

Filter design, periodograms, window functions, and other digital signal processing functionality

A Julia package for multivariate statistics and data analysis (e.g. dimension reduction)

Manifolds.jl provides a library of manifolds aiming for an easy-to-use and fast implementation.

Reverse Mode Automatic Differentiation for Julia

Geometric Deep Learning for Flux

Probabilistic Programming with Gaussian processes in Julia

Finite element toolbox for Julia

A comprehensive open source computer algebra system for computations in algebra, geometry, and number theory.

A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimize, adjoint methods, and more for ODEs, SDEs, DDEs, DAEs, etc.

A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimize, adjoint methods, and more for ODEs, SDEs, DDEs, DAEs, etc.

A fast trajectory optimization library written in Julia

Surrogate modeling and optimization for scientific machine learning (SciML)

Computer vision models for Flux

Julia solvers for systems of nonlinear equations and mixed complementarity problems