Dependency Packages

DifferentialEquations.jl1769Multilanguage suite for highperformance solvers of differential equations and scientific machine learning (SciML) components

DSGE.jl643Solve and estimate Dynamic Stochastic General Equilibrium models (including the New York Fed DSGE)

Yao.jl534Extensible, Efficient Quantum Algorithm Design for Humans.

DiffEqFlux.jl510Universal neural differential equations with O(1) backprop, GPUs, and stiff+nonstiff DE solvers, demonstrating scientific machine learning (SciML) and physicsinformed machine learning methods

DiffEqTutorials.jl452Tutorials for doing scientific machine learning (SciML) and highperformance differential equation solving with open source software.

NeuralPDE.jl327PhysicsInformed Neural Networks (PINN) and Deep BSDE Solvers of Differential Equations for Scientific Machine Learning (SciML) accelerated simulation

NeuralNetDiffEq.jl327PhysicsInformed Neural Networks (PINN) and Deep BSDE Solvers of Differential Equations for Scientific Machine Learning (SciML) accelerated simulation

QuantumOptics.jl324Library for the numerical simulation of closed as well as open quantum systems.

ControlSystems.jl279A Control Systems Toolbox for Julia

OrdinaryDiffEq.jl216High performance differential equation solvers for ordinary differential equations, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)

Modia.jl207Modeling and simulation of multidomain engineering systems

StochasticDiffEq.jl137Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem

TuringModels.jl101Turing version of StatisticalRethinking models.

DiffEqSensitivity.jl90A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimizethendiscretize, discretizethenoptimize, and more for ODEs, SDEs, DDEs, DAEs, etc.

NBodySimulator.jl81A differentiable simulator for scientific machine learning (SciML) with Nbody problems, including astrophysical and molecular dynamics

Causal.jl76Causal.jl  A modeling and simulation framework adopting causal modeling approach.

Jusdl.jl76Causal.jl  A modeling and simulation framework adopting causal modeling approach.

Mads.jl75MADS: Model Analysis & Decision Support

ReachabilityAnalysis.jl69Methods to compute sets of states reachable by dynamical systems

ControlSystemIdentification.jl65System Identification toolbox for LTI systems, compatible with ControlSystems.jl

ValidatedNumerics.jl63Rigorous floatingpoint calculations with interval arithmetic in Julia

SemanticModels.jl60A julia package for representing and manipulating model semantics

ViscousFlow.jl57A framework for simulating viscous incompressible flows about arbitrary body shapes.

TaylorIntegration.jl53ODE integration using Taylor's method, and more, in Julia

PowerDynamics.jl51Package for dynamical modeling of power grids

RigidBodySim.jl49Simulation and visualization of articulated rigid body systems in Julia

MultiScaleArrays.jl45A framework for developing multiscale arrays for use in scientific machine learning (SciML) simulations

ProbNumDiffEq.jl44Probabilistic ODE Solvers via Bayesian Filtering and Smoothing

ODEFilters.jl44Probabilistic ODE Solvers via Bayesian Filtering and Smoothing

DiffEqPhysics.jl40A library for building differential equations arising from physical problems for physicsinformed and scientific machine learning (SciML)

Kinetic.jl39Universal modeling and simulation of fluid dynamics upon machine learning

TaylorModels.jl36Rigorous function approximation using Taylor models in Julia

OrbitalTrajectories.jl36OrbitalTrajectories.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.

DiffEqParamEstim.jl33Easy scientific machine learning (SciML) parameter estimation with prebuilt loss functions

TropicalTensors.jl32Tropical tensor network for spin glasses

NTFk.jl31Unsupervised Machine Learning: Nonnegative Tensor Factorization + kmeans clustering

DiffEqCallbacks.jl31A library of useful callbacks for hybrid scientific machine learning (SciML) with augmented differential equation solvers

OpenQuantumTools.jl29Julia toolkit for open quantum system simulation.

DelayDiffEq.jl28Delay differential equation solvers for the SciML scientific machine learning ecosystem

SpectralDistances.jl27Measure the distance between two spectra/signals using optimal transport and related metrics
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