Dependency Packages

SciMLExpectations.jl59Fast uncertainty quantification for scientific machine learning (SciML) and differential equations

TaylorModels.jl58Rigorous function approximation using Taylor models in Julia

AtomicGraphNets.jl58Atomic graph models for molecules and crystals in Julia

TuringGLM.jl58Bayesian Generalized Linear models using `@formula` syntax.

OpenQuantumTools.jl57Julia toolkit for open quantum system simulation.

GXBeam.jl56Pure Julia Implementation of Geometrically Exact Beam Theory

DiffEqNoiseProcess.jl55A library of noise processes for stochastic systems like stochastic differential equations (SDEs) and other systems that are present in scientific machine learning (SciML)

ContactImplicitMPC.jl55Fast contactimplicit model predictive control for robotic systems that make and break contact with their environments.

ReactionMechanismSimulator.jl54The amazing Reaction Mechanism Simulator for simulating large chemical kinetic mechanisms

QuantumCumulants.jl52Generalized meanfield equations in open quantum systems

DiffEqCallbacks.jl52A library of useful callbacks for hybrid scientific machine learning (SciML) with augmented differential equation solvers

DiffEqParamEstim.jl51Easy scientific machine learning (SciML) parameter estimation with prebuilt loss functions

CellMLToolkit.jl51CellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.

DynamicalSystemsBase.jl50Definition of dynamical systems and integrators for DynamicalSystems.jl

GpABC.jl50

FluxMPI.jl48Distributed Data Parallel Training of Deep Neural Networks

ReversePropagation.jl48

PETLION.jl47Highperformance simulations of the Porous Electrode Theory for Liion batteries

Conductor.jl47Choochoo

DiffEqPhysics.jl46A library for building differential equations arising from physical problems for physicsinformed and scientific machine learning (SciML)

DelayDiffEq.jl46Delay differential equation (DDE) solvers in Julia for the SciML scientific machine learning ecosystem. Covers neutral and retarded delay differential equations, and differentialalgebraic equations.

SummationByPartsOperators.jl46A Julia library of summationbyparts (SBP) operators used in finite difference, Fourier pseudospectral, continuous Galerkin, and discontinuous Galerkin methods to get provably stable semidiscretizations, paying special attention to boundary conditions.

AlgebraicDynamics.jl45Building dynamical systems compositionally

CALIPSO.jl45Conic Augmented Lagrangian InteriorPoint SOlver

WorldDynamics.jl44An opensource framework written in Julia for global integrated assessment models.

ClimaAtmos.jl43ClimaAtmos.jl is a library for building atmospheric circulation models that is designed from the outset to leverage data assimilation and machine learning tools. We welcome contributions!

DiffEqDevTools.jl43Benchmarking, testing, and development tools for differential equations and scientific machine learning (SciML)

MinimallyDisruptiveCurves.jl43Finds relationships between the parameters of a mathematical model

RobustAndOptimalControl.jl42Robust and optimal design and analysis of linear control systems

MomentClosure.jl41Tools to generate and study moment equations for any chemical reaction network using various moment closure approximations

DeepEquilibriumNetworks.jl41Implicit Layer Machine Learning via Deep Equilibrium Networks, O(1) backpropagation with accelerated convergence.

DifferentiableTrajectoryOptimization.jl40Differentiable trajectory optimization in Julia.

SpectralDistances.jl40Measure the distance between two spectra/signals using optimal transport and related metrics

SimpleNonlinearSolve.jl39Fast and simple nonlinear solvers for the SciML common interface. Newton, Broyden, Bisection, Falsi, and more rootfinders on a standard interface.

SymbolicControlSystems.jl39Ccode generation and an interface between ControlSystems.jl and SymPy.jl

ClosedLoopReachability.jl38Reachability analysis for closedloop control systems

DifferentiableStateSpaceModels.jl38

MCMCBenchmarks.jl37Comparing performance and results of mcmc options using Julia

TORA.jl37Trajectory Optimization for Robot Arms

SIIPExamples.jl37Examples of how to use the modeling capabilities developed under the Scalable Integrated Infrastructure Planning Initiative at NREL.
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