Heterogeneous programming in Julia

The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems

Mathematical functions related to statistics.

A Julia frontend, written in Julia

AD-backend agnostic system defining custom forward and reverse mode rules. This is the light weight core to allow you to define rules for your functions in your packages, without depending on any particular AD system.

Adaptive 1d numerical Gauss–Kronrod integration in Julia

A combinatorics library for Julia

Krylov methods for linear problems, eigenvalues, singular values and matrix functions

Fast non-allocating calculations of gradients, Jacobians, and Hessians with sparsity support

Fast jacobian computation through sparsity exploitation and matrix coloring

Main Package for IO, loading all different kind of files

Lazy code loading for Julia

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

Color manipulation utilities for Julia

Abstract julia interfaces for working with trees

LinearSolve.jl: High-Performance Unified Interface for Linear Solvers in Julia. Easily switch between factorization and Krylov methods, add preconditioners, and all in one interface.

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

The cheapest threads you can find!

A common interface for quadrature and numerical integration for the SciML scientific machine learning organization

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

Update deeply nested immutable structs.

Colorschemes, colormaps, gradients, and palettes

Interpreter for Julia code

Julia package for lazily representing matrices filled with a single entry

Simple Traits for Julia

An enhancement to julia piping syntax

Pure-Julia multidimensional h-adaptive integration

Julia macro for re-exporting one module from another

Compatibility across Julia versions

Reduce time-to-first-execution of Julia code

A Julia package for strided array views and efficient manipulations thereof

A Julia package to provide Python-like formatting support

Colored and styled strings for terminals.

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

Composable Loggers for the Julia Logging StdLib

Improved thread management for background and nonuniform tasks in Julia. Docs at https://tro3.github.io/ThreadPools.jl

Reusable compiler infrastructure for Julia GPU backends.

Themes for the Julia plotting package Plots.jl

It's editing-time, do you know where your methods are?

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