Dependency Packages

TuringModels.jl153Implementations of the models from the Statistical Rethinking book with Turing.jl

TopOpt.jl141A beautifully Julian topology optimization package.

VoronoiFVM.jl134Solution of nonlinear multiphysics partial differential equation systems using the Voronoi finite volume method

DataInterpolations.jl129A library of data interpolation and smoothing functions

MethodOfLines.jl118Automatic Finite Difference PDE solving with Julia SciML

PowerSimulationsDynamics.jl118Julia package to run Dynamic Power System simulations. Part of the Scalable Integrated Infrastructure Planning Initiative at the National Renewable Energy Lab.

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

NBodySimulator.jl115A differentiable simulator for scientific machine learning (SciML) with Nbody problems, including astrophysical and molecular dynamics

NonlinearSolve.jl112Highperformance and differentiationenabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and NewtonKrylov support.

FunctionalModels.jl111Equationbased modeling and simulations in Julia

DiffEqJump.jl109Build and simulate jump equations like Gillespie simulations and jump diffusions with constant and statedependent rates and mix with differential equations and scientific machine learning (SciML)

JumpProcesses.jl109Build and simulate jump equations like Gillespie simulations and jump diffusions with constant and statedependent rates and mix with differential equations and scientific machine learning (SciML)

ControlSystemIdentification.jl108System Identification toolbox for LTI systems, compatible with ControlSystems.jl

LabelledArrays.jl107Arrays which also have a label for each element for easy scientific machine learning (SciML)

CausalityTools.jl104Algorithms for detecting associations, dynamical influences and causal inference from data.

NetworkDynamics.jl103Julia package for working with Dynamics on Networks.

Causal.jl102Causal.jl  A modeling and simulation framework adopting causal modeling approach.

ODE.jl101Assorted basic Ordinary Differential Equation solvers for scientific machine learning (SciML). Deprecated: Use DifferentialEquations.jl instead.

ODEFilters.jl100Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing

ProbNumDiffEq.jl100Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing

Kinetic.jl96Universal modeling and simulation of fluid mechanics upon machine learning. From the Boltzmann equation, heading towards multiscale and multiphysics flows.

Mads.jl94MADS: Model Analysis & Decision Support

SymbolicNumericIntegration.jl93SymbolicNumericIntegration.jl: SymbolicNumerics for Solving Integrals

Nonconvex.jl91Toolbox for nonconvex constrained optimization.

SciMLBase.jl90The Base interface of the SciML ecosystem

LowLevelParticleFilters.jl90State estimation, smoothing and parameter estimation using Kalman and particle filters.

PowerDynamics.jl88Package for dynamical modeling of power grids

ViscousFlow.jl84A framework for simulating viscous incompressible flows about arbitrary body shapes.

TaylorIntegration.jl84ODE integration using Taylor's method, and more, in Julia

ValidatedNumerics.jl81Rigorous floatingpoint calculations with interval arithmetic in Julia

SemanticModels.jl76A julia package for representing and manipulating model semantics

ModelingToolkitStandardLibrary.jl76A standard library of components to model the world and beyond

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 highperformance simulations of astrodynamical models.

EasyModelAnalysis.jl74High level functions for analyzing the output of simulations

ParameterizedFunctions.jl72A simple domainspecific language (DSL) for defining differential equations for use in scientific machine learning (SciML) and other applications

IncrementalInference.jl70Clique recycling nonGaussian (multimodal) factor graph solver; also see Caesar.jl.

RigidBodySim.jl68Simulation and visualization of articulated rigid body systems in Julia

StructuredOptimization.jl67Structured optimization in Julia

Pathfinder.jl66Preheat your MCMC

Turkie.jl65Turing + Makie = Turkie
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