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)

ModelingToolkit.jl632A 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

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.

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

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

Modia.jl207Modeling and simulation of multidomain engineering systems

GalacticOptim.jl178Local, global, and beyond optimization for scientific machine learning (SciML)

Catalyst.jl175Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPUparallelized, and O(1) solvers in open source software

DataDrivenDiffEq.jl170Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization

DiffEqOperators.jl166Linear operators for discretizations of differential equations and scientific machine learning (SciML)

TuringModels.jl101Turing version of StatisticalRethinking models.

DiffEqBayes.jl94Extension functionality which uses Stan.jl, DynamicHMC.jl, and Turing.jl to estimate the parameters to differential equations and perform Bayesian probabilistic scientific machine learning

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

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

ValidatedNumerics.jl63Rigorous floatingpoint calculations with interval arithmetic in Julia

ParameterizedFunctions.jl60A simple domainspecific language (DSL) for defining differential equations for use in scientific machine learning (SciML) and other applications

ODEFilters.jl44Probabilistic ODE Solvers via Bayesian Filtering and Smoothing

ProbNumDiffEq.jl44Probabilistic ODE Solvers via Bayesian Filtering and Smoothing

IntervalConstraintProgramming.jl44Calculate rigorously the feasible region for a set of realvalued inequalities with Julia

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

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.

ReversePropagation.jl33

QuantumCumulants.jl27Generalized meanfield equations in open quantum systems

CellMLToolkit.jl25CellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.

DiffEqProblemLibrary.jl21A library of premade problems for examples and testing differential equation solvers and other SciML scientific machine learning tools

TinyModia.jl20Model and simulate physical systems (electrical, mechanical, thermofluild, ...)

NonlinearSchrodinger.jl18A suite of tools for solving Nonlinear Schrodinger equations via higherorder algorithms and Darboux transformations.

MinimallyDisruptiveCurves.jl17Finds relationships between the parameters of a mathematical model

Controlz.jl15Simulation of simple controls problems in Julia

GXBeam.jl15Pure Julia Implementation of Geometrically Exact Beam Theory

MathML.jl14Julia MathML parser

UnderwaterAcoustics.jl13Julia toolbox for underwater acoustic modeling

MATLABDiffEq.jl11Common interface bindings for the MATLAB ODE solvers via MATLAB.jl for the SciML Scientific Machine Learning ecosystem

EnKF.jl10Develop tools for ensemble Kalman filter

KitML.jl9Lightweight module of neural differential equations in Kinetic.jl

BlockSystems.jl8

AlgebraicDynamics.jl7Building dynamical systems compositionally

InformationGeometry.jl7Methods for computational information geometry
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