Build and simulate jump equations like Gillespie simulations and jump diffusions with constant and state-dependent rates and mix with differential equations and scientific machine learning (SciML)

The dispatch doctor prescribes type stability

Multivariate polynomials interface

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

Efficient and type-stable physical quantities in Julia

The Base interface of the SciML ecosystem

Julia wrapper for the LLVM C API

Project Preferences Package

A Julia package for representing banded matrices

Posix-compliant file name pattern matching

A Julia framework for implementing FFTs

For working with dimensions of arrays by name

Themes for the Julia plotting package Plots.jl

Arrays which also have a label for each element for easy scientific machine learning (SciML)

Parameterise all the things

Line search methods for optimization and root-finding

Extensions for Julia's docsystem.

Fast parsing machinery for basic types in Julia

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

A concrete syntax tree parser for Julia

Observable refs

Uniform Interface for positive definite matrices of various structures

Tokenization for Julia source code

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Package for checking function arguments

Functions generated at runtime without world-age issues or overhead

Interval Sets for Julia

Prime numbers in 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

Cunning tricks though the julia compiler internals

Simple, consistent interfaces for any codec.