Powerful convenience for Julia visualizations and data analysis

Forward Mode Automatic Differentiation for Julia

Statically sized arrays for Julia

Grid-based approximation of partial differential equations in Julia

Julia implementation of Data structures

Formatted output of timed sections in Julia

HTTP for Julia

Physical quantities with arbitrary units

Basic statistics for Julia

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

HDF5-compatible file format in pure Julia

Julia bindings for the Enzyme automatic differentiator

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

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

High performance nearest neighbor data structures (KDTree and BallTree) and algorithms for Julia.

Julia functional programming infrastructures and metaprogramming facilities

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

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

Special mathematical functions in Julia

Julia solvers for systems of nonlinear equations and mixed complementarity problems

Efficient implementation of struct arrays in Julia

Reusable array functionality for Julia's various GPU backends.

JSON parsing and printing

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

A Julia package for defining and working with linear maps, also known as linear transformations or linear operators acting on vectors. The only requirement for a LinearMap is that it can act on a vector (by multiplication) efficiently.

A Julia package to perform Bifurcation Analysis

An interface for tables in Julia

Julia package for Gaussian quadrature

High accuracy derivatives, estimated via numerical finite differences (formerly FDM.jl)

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

Julia bindings to the FFTW library for fast Fourier transforms

Adaptive 1d numerical Gauss–Kronrod integration 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.

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

Main Package for IO, loading all different kind of files

A combinatorics library for Julia

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

Color manipulation utilities for Julia

Reduce time-to-first-execution of Julia code