Dependency Packages
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TuringModels.jl153Implementations of the models from the Statistical Rethinking book with Turing.jl
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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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DataInterpolations.jl129A library of data interpolation and smoothing functions
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MethodOfLines.jl118Automatic Finite Difference PDE solving with Julia SciML
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PowerSimulationsDynamics.jl118Julia package to run Dynamic Power System simulations. Part of the Scalable Integrated Infrastructure Planning Initiative at the National Renewable Energy Lab.
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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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NBodySimulator.jl115A differentiable simulator for scientific machine learning (SciML) with N-body problems, including astrophysical and molecular dynamics
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NonlinearSolve.jl112High-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and Newton-Krylov support.
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FunctionalModels.jl111Equation-based modeling and simulations in Julia
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DiffEqJump.jl109Build and simulate jump equations like Gillespie simulations and jump diffusions with constant and state-dependent rates and mix with differential equations and scientific machine learning (SciML)
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JumpProcesses.jl109Build and simulate jump equations like Gillespie simulations and jump diffusions with constant and state-dependent rates and mix with differential equations and scientific machine learning (SciML)
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ControlSystemIdentification.jl108System Identification toolbox for LTI systems, compatible with ControlSystems.jl
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LabelledArrays.jl107Arrays which also have a label for each element for easy scientific machine learning (SciML)
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CausalityTools.jl104Algorithms for detecting associations, dynamical influences and causal inference from data.
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NetworkDynamics.jl103Julia package for working with Dynamics on Networks.
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Causal.jl102Causal.jl - A modeling and simulation framework adopting causal modeling approach.
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ODE.jl101Assorted basic Ordinary Differential Equation solvers for scientific machine learning (SciML). Deprecated: Use DifferentialEquations.jl instead.
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ODEFilters.jl100Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing
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ProbNumDiffEq.jl100Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing
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Kinetic.jl96Universal modeling and simulation of fluid mechanics upon machine learning. From the Boltzmann equation, heading towards multiscale and multiphysics flows.
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Mads.jl94MADS: Model Analysis & Decision Support
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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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SciMLBase.jl90The Base interface of the SciML ecosystem
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LowLevelParticleFilters.jl90State estimation, smoothing and parameter estimation using Kalman and particle filters.
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PowerDynamics.jl88Package for dynamical modeling of power grids
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ViscousFlow.jl84A framework for simulating viscous incompressible flows about arbitrary body shapes.
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TaylorIntegration.jl84ODE integration using Taylor's method, and more, in Julia
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ValidatedNumerics.jl81Rigorous floating-point calculations with interval arithmetic in Julia
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SemanticModels.jl76A julia package for representing and manipulating model semantics
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ModelingToolkitStandardLibrary.jl76A standard library of components to model the world and beyond
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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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EasyModelAnalysis.jl74High level functions for analyzing the output of simulations
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ParameterizedFunctions.jl72A simple domain-specific language (DSL) for defining differential equations for use in scientific machine learning (SciML) and other applications
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IncrementalInference.jl70Clique recycling non-Gaussian (multi-modal) factor graph solver; also see Caesar.jl.
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RigidBodySim.jl68Simulation and visualization of articulated rigid body systems in Julia
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StructuredOptimization.jl67Structured optimization in Julia
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Pathfinder.jl66Preheat your MCMC
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Turkie.jl65Turing + Makie = Turkie
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