Dependency Packages

DifferentialEquations.jl2841Multilanguage suite for highperformance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential equations (SDEs), delay differential equations (DDEs), differentialalgebraic equations (DAEs), and more in Julia.

Plots.jl1825Powerful convenience for Julia visualizations and data analysis

Optim.jl1116Optimization functions for Julia

Distributions.jl1102A Julia package for probability distributions and associated functions.

ForwardDiff.jl888Forward Mode Automatic Differentiation for Julia

Documenter.jl807A documentation generator for Julia.

StaticArrays.jl761Statically sized arrays for Julia

LoopVectorization.jl742Macro(s) for vectorizing loops.

DataStructures.jl690Julia implementation of Data structures

TimerOutputs.jl651Formatted output of timed sections in Julia

HTTP.jl632HTTP for Julia

BenchmarkTools.jl607A benchmarking framework for the Julia language

Unitful.jl603Physical quantities with arbitrary units

StatsBase.jl584Basic statistics for Julia

Latexify.jl558Convert julia objects to LaTeX equations, arrays or other environments.

OrdinaryDiffEq.jl533High performance ordinary differential equation (ODE) and differentialalgebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)

Graphs.jl457An optimized graphs package for the Julia programming language

Enzyme.jl438Julia bindings for the Enzyme automatic differentiator

Distances.jl425A Julia package for evaluating distances (metrics) between vectors.

Parameters.jl419Types with default field values, keyword constructors and (un)pack macros

MLStyle.jl402Julia functional programming infrastructures and metaprogramming facilities

MathOptInterface.jl388A data structure for mathematical optimization problems

GR.jl354Plotting for Julia based on GR, a framework for visualisation applications

SpecialFunctions.jl350Special mathematical functions in Julia

Krylov.jl338A Julia Basket of HandPicked Krylov Methods

NLsolve.jl324Julia solvers for systems of nonlinear equations and mixed complementarity problems

GPUArrays.jl317Reusable array functionality for Julia's various GPU backends.

JSON.jl311JSON parsing and printing

MacroTools.jl310MacroTools provides a library of tools for working with Julia code and expressions.

DiffEqBase.jl309The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems

LazyArrays.jl303Lazy arrays and linear algebra in Julia

Tables.jl299An interface for tables in Julia

QuadGK.jl268Adaptive 1d numerical Gaussâ€“Kronrod integration in Julia

ChainRulesCore.jl253ADbackend 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.

StochasticDiffEq.jl248Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem

FiniteDiff.jl247Fast nonallocating calculations of gradients, Jacobians, and Hessians with sparsity support

LinearSolve.jl244LinearSolve.jl: HighPerformance Unified Interface for Linear Solvers in Julia. Easily switch between factorization and Krylov methods, add preconditioners, and all in one interface.

Polyester.jl241The cheapest threads you can find!

SparseDiffTools.jl238Fast jacobian computation through sparsity exploitation and matrix coloring

StatsFuns.jl232Mathematical functions related to statistics.
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