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.

Turing.jl2026Bayesian inference with probabilistic programming.

Plots.jl1825Powerful convenience for Julia visualizations and data analysis

MLJ.jl1779A Julia machine learning framework

ModelingToolkit.jl1410An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physicsinformed machine learning and automated transformations of differential equations

Symbolics.jl1353Symbolic programming for the next generation of numerical software

AlphaZero.jl1232A generic, simple and fast implementation of Deepmind's AlphaZero algorithm.

NeuralPDE.jl966PhysicsInformed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation

NeuralNetDiffEq.jl966PhysicsInformed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation

Oceananigans.jl962🌊 Julia software for fast, friendly, flexible, oceanflavored fluid dynamics on CPUs and GPUs

DSGE.jl864Solve and estimate Dynamic Stochastic General Equilibrium models (including the New York Fed DSGE)

DiffEqFlux.jl861Prebuilt implicit layer architectures with O(1) backprop, GPUs, and stiff+nonstiff DE solvers, demonstrating scientific machine learning (SciML) and physicsinformed machine learning methods

DynamicalSystems.jl834Award winning software library for nonlinear dynamics and nonlinear timeseries analysis

OnlineStats.jl831⚡ Singlepass algorithms for statistics

Javis.jl827Julia Animations and Visualizations

JuliaDB.jl766Parallel analytical database in pure Julia

Agents.jl728Agentbased modeling framework in Julia

DiffEqTutorials.jl713Tutorials for doing scientific machine learning (SciML) and highperformance differential equation solving with open source software.

SciMLTutorials.jl713Tutorials for doing scientific machine learning (SciML) and highperformance differential equation solving with open source software.

Optimization.jl712Mathematical Optimization in Julia. Local, global, gradientbased and derivativefree. Linear, Quadratic, Convex, MixedInteger, and Nonlinear Optimization in one simple, fast, and differentiable interface.

GalacticOptim.jl712Mathematical Optimization in Julia. Local, global, gradientbased and derivativefree. Linear, Quadratic, Convex, MixedInteger, and Nonlinear Optimization in one simple, fast, and differentiable interface.

Dagger.jl630A framework for outofcore and parallel execution

FastAI.jl589Repository of best practices for deep learning in Julia, inspired by fastai

SymbolicUtils.jl537Symbolic expressions, rewriting and simplification

ApproxFun.jl537Julia package for function approximation

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

QuantumOptics.jl528Library for the numerical simulation of closed as well as open quantum systems.

Trixi.jl522Trixi.jl: Adaptive highorder numerical simulations of conservation laws in Julia

Tidier.jl513Metapackage for data analysis in Julia, modeled after the R tidyverse.

ControlSystems.jl508A Control Systems Toolbox for Julia

GeoStats.jl506An extensible framework for geospatial data science and geostatistical modeling fully written in Julia

QuantEcon.jl504Julia implementation of QuantEcon routines

Measurements.jl486Error propagation calculator and library for physical measurements. It supports real and complex numbers with uncertainty, arbitrary precision calculations, operations with arrays, and numerical integration.

Catalyst.jl455Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPUparallelized, and O(1) solvers in open source software.

DiffEqBiological.jl455Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPUparallelized, and O(1) solvers in open source software.

ClimateMachine.jl451Climate Machine: an Earth System Model that automatically learns from data

StatsPlots.jl437Statistical plotting recipes for Plots.jl

DFTK.jl426Densityfunctional toolkit

Soss.jl414Probabilistic programming via source rewriting

DataDrivenDiffEq.jl405Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization
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