Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential equations (SDEs), delay differential equations (DDEs), differential-algebraic equations (DAEs), and more in Julia.

Bayesian inference with probabilistic programming.

Powerful convenience for Julia visualizations and data analysis

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

A fast and modern CAS for a fast and modern language.

Automatically update function definitions in a running Julia session

A Julia package for probability distributions and associated functions.

Optimization functions for Julia

Forward Mode Automatic Differentiation for Julia

Macro(s) for vectorizing loops.

Statically sized arrays for Julia

Julia implementation of Data structures

Progress meter for long-running computations

HTTP for Julia

An experimental code analyzer for Julia. No need for additional type annotations.

Formatted output of timed sections in Julia

Basic statistics for Julia

Physical quantities with arbitrary units

Convert julia objects to LaTeX equations, arrays or other environments.

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

The slow descent into madness

Expression rewriting and simplification

I was gonna maintain this package, but then I got high

Fast, continuous interpolation of discrete datasets in Julia

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

Types with default field values, keyword constructors and (un-)pack macros

Efficient transducers for Julia

A Julia package for evaluating distances (metrics) between vectors.

An optimized graphs package for the Julia programming language

Forward and reverse mode automatic differentiation primitives for Julia Base + StdLibs

Iterative algorithms for solving linear systems, eigensystems, and singular value problems

Plotting for Julia based on GR, a framework for visualisation applications

Print data in formatted tables.

Special mathematical functions in Julia

JSON parsing and printing

Making packages work faster with more extensive precompilation

MacroTools provides a library of tools for working with Julia code and expressions.

Julia solvers for systems of nonlinear equations and mixed complementarity problems

Reusable array functionality for Julia's various GPU backends.

Efficient implementation of struct arrays in Julia