Dependency Packages
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Turing.jl2026Bayesian inference with probabilistic programming.
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ModelingToolkit.jl1410An 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.jl1353Symbolic programming for the next generation of numerical software
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NeuralPDE.jl966Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
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DiffEqTutorials.jl713Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.
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Optimization.jl712Mathematical Optimization in Julia. Local, global, gradient-based and derivative-free. Linear, Quadratic, Convex, Mixed-Integer, and Nonlinear Optimization in one simple, fast, and differentiable interface.
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Catalyst.jl455Chemical 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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Soss.jl414Probabilistic programming via source rewriting
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DataDrivenDiffEq.jl405Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization
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VoronoiFVM.jl194Solution of nonlinear multiphysics partial differential equation systems using the Voronoi finite volume method
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TopOpt.jl181A package for binary and continuous, single and multi-material, truss and continuum, 2D and 3D topology optimization on unstructured meshes using automatic differentiation in Julia.
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TuringModels.jl163Implementations of the models from the Statistical Rethinking book with Turing.jl
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MethodOfLines.jl157Automatic Finite Difference PDE solving with Julia SciML
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Kinetic.jl122Universal modeling and simulation of fluid mechanics upon machine learning. From the Boltzmann equation, heading towards multiscale and multiphysics flows.
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DiffEqBayes.jl121Extension 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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ODEFilters.jl118Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing
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SymbolicNumericIntegration.jl116SymbolicNumericIntegration.jl: Symbolic-Numerics for Solving Integrals
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FunctionalModels.jl112Equation-based modeling and simulations in Julia
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ModelingToolkitStandardLibrary.jl112A standard library of components to model the world and beyond
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Nonconvex.jl111Toolbox for gradient-based and derivative-free non-convex constrained optimization with continuous and/or discrete variables.
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PowerDynamics.jl104Package for dynamical modeling of power grids
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ContactImplicitMPC.jl102Fast contact-implicit model predictive control for robotic systems that make and break contact with their environments.
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MacroModelling.jl95Macros and functions to work with DSGE models.
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ModelingToolkitDesigner.jl94A helper tool for visualizing and editing a ModelingToolkit.jl system connections
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OrbitalTrajectories.jl83OrbitalTrajectories.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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EasyModelAnalysis.jl79High level functions for analyzing the output of simulations
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ParameterizedFunctions.jl77A simple domain-specific language (DSL) for defining differential equations for use in scientific machine learning (SciML) and other applications
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Pathfinder.jl75Preheat your MCMC
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ReactionMechanismSimulator.jl72The amazing Reaction Mechanism Simulator for simulating large chemical kinetic mechanisms
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TuringGLM.jl71Bayesian Generalized Linear models using `@formula` syntax.
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QuantumCumulants.jl70Generalized mean-field equations in open quantum systems
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Turkie.jl68Turing + Makie = Turkie
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ODINN.jl68Global glacier model using Universal Differential Equations for climate-glacier interactions
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TaylorDiff.jl68Taylor-mode automatic differentiation for higher-order derivatives
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PETLION.jl65High-performance simulations of the Porous Electrode Theory for Li-ion batteries
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WorldDynamics.jl65An open-source framework written in Julia for global integrated assessment models.
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CellMLToolkit.jl62CellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.
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Conductor.jl61Choo-choo
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CALIPSO.jl61Conic Augmented Lagrangian Interior-Point SOlver
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DifferentiableTrajectoryOptimization.jl55Differentiable trajectory optimization in Julia.
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