Dependency Packages
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SciMLExpectations.jl59Fast uncertainty quantification for scientific machine learning (SciML) and differential equations
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TaylorModels.jl58Rigorous function approximation using Taylor models in Julia
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AtomicGraphNets.jl58Atomic graph models for molecules and crystals in Julia
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TuringGLM.jl58Bayesian Generalized Linear models using `@formula` syntax.
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OpenQuantumTools.jl57Julia toolkit for open quantum system simulation.
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GXBeam.jl56Pure Julia Implementation of Geometrically Exact Beam Theory
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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)
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ContactImplicitMPC.jl55Fast contact-implicit model predictive control for robotic systems that make and break contact with their environments.
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ReactionMechanismSimulator.jl54The amazing Reaction Mechanism Simulator for simulating large chemical kinetic mechanisms
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QuantumCumulants.jl52Generalized mean-field equations in open quantum systems
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DiffEqCallbacks.jl52A library of useful callbacks for hybrid scientific machine learning (SciML) with augmented differential equation solvers
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DiffEqParamEstim.jl51Easy scientific machine learning (SciML) parameter estimation with pre-built loss functions
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CellMLToolkit.jl51CellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.
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DynamicalSystemsBase.jl50Definition of dynamical systems and integrators for DynamicalSystems.jl
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GpABC.jl50-
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FluxMPI.jl48Distributed Data Parallel Training of Deep Neural Networks
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ReversePropagation.jl48-
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PETLION.jl47High-performance simulations of the Porous Electrode Theory for Li-ion batteries
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Conductor.jl47Choo-choo
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DiffEqPhysics.jl46A library for building differential equations arising from physical problems for physics-informed and scientific machine learning (SciML)
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DelayDiffEq.jl46Delay differential equation (DDE) solvers in Julia for the SciML scientific machine learning ecosystem. Covers neutral and retarded delay differential equations, and differential-algebraic equations.
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SummationByPartsOperators.jl46A Julia library of summation-by-parts (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.
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AlgebraicDynamics.jl45Building dynamical systems compositionally
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CALIPSO.jl45Conic Augmented Lagrangian Interior-Point SOlver
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WorldDynamics.jl44An open-source framework written in Julia for global integrated assessment models.
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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!
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DiffEqDevTools.jl43Benchmarking, testing, and development tools for differential equations and scientific machine learning (SciML)
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MinimallyDisruptiveCurves.jl43Finds relationships between the parameters of a mathematical model
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RobustAndOptimalControl.jl42Robust and optimal design and analysis of linear control systems
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MomentClosure.jl41Tools to generate and study moment equations for any chemical reaction network using various moment closure approximations
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DeepEquilibriumNetworks.jl41Implicit Layer Machine Learning via Deep Equilibrium Networks, O(1) backpropagation with accelerated convergence.
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DifferentiableTrajectoryOptimization.jl40Differentiable trajectory optimization in Julia.
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SpectralDistances.jl40Measure the distance between two spectra/signals using optimal transport and related metrics
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SimpleNonlinearSolve.jl39Fast and simple nonlinear solvers for the SciML common interface. Newton, Broyden, Bisection, Falsi, and more rootfinders on a standard interface.
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SymbolicControlSystems.jl39C-code generation and an interface between ControlSystems.jl and SymPy.jl
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ClosedLoopReachability.jl38Reachability analysis for closed-loop control systems
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DifferentiableStateSpaceModels.jl38-
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MCMCBenchmarks.jl37Comparing performance and results of mcmc options using Julia
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TORA.jl37Trajectory Optimization for Robot Arms
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SIIPExamples.jl37Examples of how to use the modeling capabilities developed under the Scalable Integrated Infrastructure Planning Initiative at NREL.
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