Line search methods for optimization and root-finding

Fast parsing machinery for basic types in Julia

Extensions for Julia's docsystem.

Tools for building non-allocating pre-cached functions in Julia, allowing for GC-free usage of automatic differentiation in complex codes

Uniform Interface for positive definite matrices of various structures

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Functions generated at runtime without world-age issues or overhead

Interval Sets for Julia

Random Number Generators for the Julia Language.

The Arnoldi Method with Krylov-Schur restart, natively in Julia.

A library of useful callbacks for hybrid scientific machine learning (SciML) with augmented differential equation solvers

Fast and differentiable implementations of matrix exponentials, Krylov exponential matrix-vector multiplications ("expmv"), KIOPS, ExpoKit functions, and more. All your exponential needs in SciML form.

Julia implementation of associative containers that preserve insertion order

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SparseArrays.jl is a Julia stdlib

This is what I wish `Base.@enum` was.

Collective tools for metaprogramming on Julia Expr

Simple, consistent interfaces for any codec.

Cunning tricks though the julia compiler internals

`@pack!` and `@unpack` macros

Julia package for representing dual numbers and for performing dual algebra

TAR files: create, list, extract them in pure Julia

Fixed point types for julia

Basic color definitions and traits

Light-weight expression manipulation tools

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A simple shared suite of common derivative definitions

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Julia package for various special functions based on `log` and `exp`.

A Julia package for representing infinite-dimensional arrays

A Julia package for describing domains as continuous sets of elements

Missing value support for Julia

A Julia package for calculating hypergeometric functions

Base library providing vectorization-tools (ie, SIMD) that other libraries are built off of.

Fast matrix multiplication and division for Toeplitz matrices in Julia

A library of noise processes for stochastic systems like stochastic differential equations (SDEs) and other systems that are present in scientific machine learning (SciML)

Fast and simple nonlinear solvers for the SciML common interface. Newton, Broyden, Bisection, Falsi, and more rootfinders on a standard interface.

Delay differential equation (DDE) solvers in Julia for the SciML scientific machine learning ecosystem. Covers neutral and retarded delay differential equations, and differential-algebraic equations.