Dependency Packages
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DifferentialEquations.jl1769Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components
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DSGE.jl643Solve and estimate Dynamic Stochastic General Equilibrium models (including the New York Fed DSGE)
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ModelingToolkit.jl632A 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.jl564A fast and modern CAS for a fast and modern language.
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DiffEqFlux.jl510Universal neural differential equations with O(1) backprop, GPUs, and stiff+non-stiff DE solvers, demonstrating scientific machine learning (SciML) and physics-informed machine learning methods
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DiffEqTutorials.jl452Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.
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NeuralPDE.jl327Physics-Informed Neural Networks (PINN) and Deep BSDE Solvers of Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
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NeuralNetDiffEq.jl327Physics-Informed Neural Networks (PINN) and Deep BSDE Solvers of Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
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Soss.jl268Probabilistic programming via source rewriting
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SymbolicUtils.jl223Expression rewriting and simplification
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Modia.jl207Modeling and simulation of multidomain engineering systems
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GalacticOptim.jl178Local, global, and beyond optimization for scientific machine learning (SciML)
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Catalyst.jl175Chemical 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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DataDrivenDiffEq.jl170Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization
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DiffEqOperators.jl166Linear operators for discretizations of differential equations and scientific machine learning (SciML)
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SymbolicRegression.jl102Distributed High-Performance symbolic regression in Julia
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TuringModels.jl101Turing version of StatisticalRethinking models.
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Hecke.jl99Computational algebraic number theory
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DiffEqBayes.jl94Extension 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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Nemo.jl91Julia bindings for various mathematical libraries (including flint2)
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Causal.jl76Causal.jl - A modeling and simulation framework adopting causal modeling approach.
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Jusdl.jl76Causal.jl - A modeling and simulation framework adopting causal modeling approach.
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ValidatedNumerics.jl63Rigorous floating-point calculations with interval arithmetic in Julia
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ParameterizedFunctions.jl60A simple domain-specific language (DSL) for defining differential equations for use in scientific machine learning (SciML) and other applications
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ProbNumDiffEq.jl44Probabilistic ODE Solvers via Bayesian Filtering and Smoothing
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IntervalConstraintProgramming.jl44Calculate rigorously the feasible region for a set of real-valued inequalities with Julia
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ODEFilters.jl44Probabilistic ODE Solvers via Bayesian Filtering and Smoothing
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Oscar.jl41-
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Kinetic.jl39Universal modeling and simulation of fluid dynamics upon machine learning
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OrbitalTrajectories.jl36OrbitalTrajectories.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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ReversePropagation.jl33-
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QuantumCumulants.jl27Generalized mean-field equations in open quantum systems
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CellMLToolkit.jl25CellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.
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DiffEqProblemLibrary.jl21A library of premade problems for examples and testing differential equation solvers and other SciML scientific machine learning tools
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TinyModia.jl20Model and simulate physical systems (electrical, mechanical, thermo-fluild, ...)
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QuantumClifford.jl19Clifford circuits and other quantum Stabilizer formalism tools.
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NonlinearSchrodinger.jl18A suite of tools for solving Nonlinear Schrodinger equations via higher-order algorithms and Darboux transformations.
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MinimallyDisruptiveCurves.jl17Finds relationships between the parameters of a mathematical model
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Controlz.jl15Simulation of simple controls problems in Julia
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GXBeam.jl15Pure Julia Implementation of Geometrically Exact Beam Theory
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