Dependency Packages

Turing.jl2026Bayesian inference with probabilistic programming.

ModelingToolkit.jl1410An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physicsinformed machine learning and automated transformations of differential equations

Symbolics.jl1353Symbolic programming for the next generation of numerical software

NeuralPDE.jl966PhysicsInformed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation

DiffEqTutorials.jl713Tutorials for doing scientific machine learning (SciML) and highperformance differential equation solving with open source software.

Optimization.jl712Mathematical Optimization in Julia. Local, global, gradientbased and derivativefree. Linear, Quadratic, Convex, MixedInteger, and Nonlinear Optimization in one simple, fast, and differentiable interface.

SymbolicUtils.jl537Symbolic expressions, rewriting and simplification

Catalyst.jl455Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPUparallelized, and O(1) solvers in open source software.

Soss.jl414Probabilistic programming via source rewriting

DataDrivenDiffEq.jl405Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization

VoronoiFVM.jl194Solution of nonlinear multiphysics partial differential equation systems using the Voronoi finite volume method

TopOpt.jl181A package for binary and continuous, single and multimaterial, truss and continuum, 2D and 3D topology optimization on unstructured meshes using automatic differentiation in Julia.

TuringModels.jl163Implementations of the models from the Statistical Rethinking book with Turing.jl

MethodOfLines.jl157Automatic Finite Difference PDE solving with Julia SciML

Kinetic.jl122Universal modeling and simulation of fluid mechanics upon machine learning. From the Boltzmann equation, heading towards multiscale and multiphysics flows.

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

ODEFilters.jl118Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing

SymbolicNumericIntegration.jl116SymbolicNumericIntegration.jl: SymbolicNumerics for Solving Integrals

FunctionalModels.jl112Equationbased modeling and simulations in Julia

ModelingToolkitStandardLibrary.jl112A standard library of components to model the world and beyond

Nonconvex.jl111Toolbox for gradientbased and derivativefree nonconvex constrained optimization with continuous and/or discrete variables.

PowerDynamics.jl104Package for dynamical modeling of power grids

ContactImplicitMPC.jl102Fast contactimplicit model predictive control for robotic systems that make and break contact with their environments.

MacroModelling.jl95Macros and functions to work with DSGE models.

ModelingToolkitDesigner.jl94A helper tool for visualizing and editing a ModelingToolkit.jl system connections

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 highperformance simulations of astrodynamical models.

EasyModelAnalysis.jl79High level functions for analyzing the output of simulations

ParameterizedFunctions.jl77A simple domainspecific language (DSL) for defining differential equations for use in scientific machine learning (SciML) and other applications

Pathfinder.jl75Preheat your MCMC

ReactionMechanismSimulator.jl72The amazing Reaction Mechanism Simulator for simulating large chemical kinetic mechanisms

TuringGLM.jl71Bayesian Generalized Linear models using `@formula` syntax.

QuantumCumulants.jl70Generalized meanfield equations in open quantum systems

TaylorDiff.jl68Taylormode automatic differentiation for higherorder derivatives

Turkie.jl68Turing + Makie = Turkie

ODINN.jl68Global glacier model using Universal Differential Equations for climateglacier interactions

PETLION.jl65Highperformance simulations of the Porous Electrode Theory for Liion batteries

WorldDynamics.jl65An opensource framework written in Julia for global integrated assessment models.

CellMLToolkit.jl62CellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.

Conductor.jl61Choochoo

CALIPSO.jl61Conic Augmented Lagrangian InteriorPoint SOlver
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