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.

Lazy arrays and linear algebra in Julia

An interface for tables in Julia

Library for validated numerics using interval arithmetic

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

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.

The cheapest threads you can find!

Advanced Pattern Matching for Julia

Fast jacobian computation through sparsity exploitation and matrix coloring

Mathematical functions related to statistics.

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

Neural Network primitives with multiple backends

Abstract julia interfaces for working with trees

Performant arrays where each dimension can have a named axis with values

Lazy code loading for Julia

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

BlockArrays for Julia

Colorschemes, colormaps, gradients, and palettes

Julia package for lazily representing matrices filled with a single entry

A package for binary and continuous, single and multi-material, truss and continuum, 2D and 3D topology optimization on unstructured meshes using automatic differentiation in Julia.

Kernel density estimators for Julia

Update immutable data

Conda managing Julia binary dependencies

Data Structures for Optimization Models

Efficient computations with symmetric and non-symmetric tensors with support for automatic differentiation.

Explicit SIMD vector operations for Julia

Update deeply nested immutable structs.

Basic Geometry Types

Julia macro for re-exporting one module from another