Dependency Packages
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ModelingToolkit.jl1212An 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
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Symbolics.jl1169A fast and modern CAS for a fast and modern language.
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DSGE.jl798Solve and estimate Dynamic Stochastic General Equilibrium models (including the New York Fed DSGE)
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NeuralPDE.jl755Physics-Informed Neural Networks (PINN) and Deep BSDE Solvers of Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
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DiffEqTutorials.jl694Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.
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QuantEcon.jl465Julia implementation of QuantEcon routines
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QuantumOptics.jl459Library for the numerical simulation of closed as well as open quantum systems.
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Soss.jl401Probabilistic programming via source rewriting
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DataDrivenDiffEq.jl372Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization
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Catalyst.jl342Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software
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DiffEqBiological.jl342Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software
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DFTK.jl337Density-functional toolkit
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Surrogates.jl281Surrogate modeling and optimization for scientific machine learning (SciML)
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SpeedyWeather.jl256The little sister of a big weather forecast model
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DistributedArrays.jl186Distributed Arrays in Julia
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Symata.jl168Language for symbolic mathematics
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Integrals.jl166A common interface for quadrature and numerical integration for the SciML scientific machine learning organization
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HomotopyContinuation.jl159A Julia package for solving systems of polynomials via homotopy continuation.
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TopOpt.jl141A beautifully Julian topology optimization package.
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VoronoiFVM.jl134Solution of nonlinear multiphysics partial differential equation systems using the Voronoi finite volume method
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MethodOfLines.jl118Automatic Finite Difference PDE solving with Julia SciML
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TensorKit.jl118A Julia package for large-scale tensor computations, with a hint of category theory
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DiffEqBayes.jl117Extension functionality which uses Stan.jl, DynamicHMC.jl, and Turing.jl to estimate the parameters to differential equations and perform Bayesian probabilistic scientific machine learning
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GameTheory.jl111Algorithms and data structures for game theory in Julia
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PDFIO.jl111PDF Reader Library for Native Julia.
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FunctionalModels.jl111Equation-based modeling and simulations in Julia
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SumOfSquares.jl109Sum of Squares Programming for Julia
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InvertibleNetworks.jl101A Julia framework for invertible neural networks
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ODEFilters.jl100Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing
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SymbolicNumericIntegration.jl93SymbolicNumericIntegration.jl: Symbolic-Numerics for Solving Integrals
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Nonconvex.jl91Toolbox for non-convex constrained optimization.
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PowerDynamics.jl88Package for dynamical modeling of power grids
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ValidatedNumerics.jl81Rigorous floating-point calculations with interval arithmetic in Julia
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StateSpaceRoutines.jl80Package implementing common state-space routines.
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JUDI.jl76Julia Devito inversion.
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ModelingToolkitStandardLibrary.jl76A standard library of components to model the world and beyond
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QuasiMonteCarlo.jl75Lightweight and easy generation of quasi-Monte Carlo sequences with a ton of different methods on one API for easy parameter exploration in scientific machine learning (SciML)
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EasyModelAnalysis.jl74High level functions for analyzing the output of simulations
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OrbitalTrajectories.jl74OrbitalTrajectories.jl is a modern orbital trajectory design, optimisation, and analysis library for Julia, providing methods and tools for designing spacecraft orbits and transfers via high-performance simulations of astrodynamical models.
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MPSKit.jl73Contains code for tackling 1 dimensional (quantum) problems using tensor network algorithms.
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