Mathematical Optimization in Julia. Local, global, gradient-based and derivative-free. Linear, Quadratic, Convex, Mixed-Integer, and Nonlinear Optimization in one simple, fast, and differentiable interface.

Julia bindings for the Enzyme automatic differentiator

Update immutable data

Common functional iterator patterns

An opinionated code formatter for Julia. Plot twist - the opinion is your own.

Symbolic programming for the next generation of numerical software

Symbolic expressions, rewriting and simplification

An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physics-informed machine learning and automated transformations of differential equations

Calculating contour curves for 2D scalar fields in Julia

Print data in formatted tables.

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.

Simple, consistent interfaces for any codec.

The Base interface of the SciML ecosystem

Basic interface for manifolds in Julia

Powerful convenience for Julia visualizations and data analysis

Faster `findfirst(==(val), dense_vector)`.

Primitives for construction of objects

Filter design, periodograms, window functions, and other digital signal processing functionality

Manifolds.jl provides a library of manifolds aiming for an easy-to-use and fast implementation.

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)

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

Simple package for literate programming in Julia

Time series toolkit for 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.

Forward Mode Automatic Differentiation for Julia

SciMLOperators.jl: Matrix-Free Operators for the SciML Scientific Machine Learning Common Interface in Julia

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

Julia implementation of Data structures

An interface to various automatic differentiation backends in Julia.

In-memory tabular data in Julia

A structure interface for SciML to give queryable properties from user data and parameters

Julia macro for re-exporting one module from another

Julia bindings to the FFTW library for fast Fourier transforms

Julia wrapper for the LLVM C API

Formatted output of timed sections in Julia

Julia functional programming infrastructures and metaprogramming facilities

The base package for Optimization.jl, containing the structs and basic functions for it.

Direct solution of large sparse systems of linear algebraic equations in pure Julia

Mathematical functions related to statistics.

Abstract julia interfaces for working with trees