Dependency Packages

DifferentialEquations.jl2503Multilanguage 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.jl1710Powerful convenience for Julia visualizations and data analysis

Revise.jl1053Automatically update function definitions in a running Julia session

Distributions.jl987A Julia package for probability distributions and associated functions.

Optim.jl960Optimization functions for Julia

ForwardDiff.jl778Forward Mode Automatic Differentiation for Julia

LoopVectorization.jl659Macro(s) for vectorizing loops.

StaticArrays.jl643Statically sized arrays for Julia

DataStructures.jl616Julia implementation of Data structures

HTTP.jl592HTTP for Julia

JET.jl571An experimental code analyzer for Julia. No need for additional type annotations.

StatsBase.jl525Basic statistics for Julia

Latexify.jl497Convert julia objects to LaTeX equations, arrays or other environments.

Cthulhu.jl456The slow descent into madness

Lazy.jl450I was gonna maintain this package, but then I got high

OrdinaryDiffEq.jl425High performance ordinary differential equation (ODE) and differentialalgebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)

Parameters.jl385Types with default field values, keyword constructors and (un)pack macros

Distances.jl376A Julia package for evaluating distances (metrics) between vectors.

Graphs.jl364An optimized graphs package for the Julia programming language

IterativeSolvers.jl358Iterative algorithms for solving linear systems, eigensystems, and singular value problems

GR.jl342Plotting for Julia based on GR, a framework for visualisation applications

HDF5.jl336Save and load data in the HDF5 file format from Julia

SpecialFunctions.jl305Special mathematical functions in Julia

JSON.jl290JSON parsing and printing

SnoopCompile.jl289Making packages work faster with more extensive precompilation

MacroTools.jl281MacroTools provides a library of tools for working with Julia code and expressions.

NLsolve.jl278Julia solvers for systems of nonlinear equations and mixed complementarity problems

GPUArrays.jl270Reusable array functionality for Julia's various GPU backends.

Krylov.jl265A Julia Basket of HandPicked Krylov Methods

Tables.jl264An interface for tables in Julia

Calculus.jl260Calculus functions in Julia

DiffEqBase.jl243The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems

StatsFuns.jl224Mathematical functions related to statistics.

JuliaSyntax.jl218A Julia frontend, written in Julia

ChainRulesCore.jl218ADbackend 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.

QuadGK.jl210Adaptive 1d numerical Gaussâ€“Kronrod integration in Julia

KrylovKit.jl203Krylov methods for linear problems, eigenvalues, singular values and matrix functions

FiniteDiff.jl202Fast nonallocating calculations of gradients, Jacobians, and Hessians with sparsity support

SparseDiffTools.jl201Fast jacobian computation through sparsity exploitation and matrix coloring

StochasticDiffEq.jl200Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem
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