Fast jacobian computation through sparsity exploitation and matrix coloring

High-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and Newton-Krylov support.

Tools for easily handling objects like arrays of arrays and deeper nestings in scientific machine learning (SciML) and other applications

Convenient input and display of LaTeX equation strings for the Julia language

Reduce time-to-first-execution of Julia code

Color manipulation utilities for Julia

Fortran-like arrays with arbitrary, zero or negative starting indices.

Lazy code loading for Julia

BlockArrays for Julia

Colorschemes, colormaps, gradients, and palettes

Julia package for lazily representing matrices filled with a single entry

Update immutable data

Update deeply nested immutable structs.

An interface to various automatic differentiation backends in Julia.

Julia macro for re-exporting one module from another

Reusable compiler infrastructure for Julia GPU backends.

Simple Traits for Julia

An enhancement to julia piping syntax

Colored and styled strings for terminals.

Compatibility across Julia versions

Composable Loggers for the Julia Logging StdLib

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

Julia wrapper for the LLVM C API

The Base interface of the SciML ecosystem

Project Preferences Package

A Julia package for representing banded matrices

A Julia framework for implementing FFTs

Themes for the Julia plotting package Plots.jl

Line search methods for optimization and root-finding

NetCDF support for the julia programming language

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

Uniform Interface for positive definite matrices of various structures

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Functions generated at runtime without world-age issues or overhead

Random Number Generators for the Julia Language.

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

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