Dependency Packages

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.

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

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

MethodOfLines.jl157Automatic Finite Difference PDE solving with Julia SciML

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

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

FunctionalModels.jl112Equationbased modeling and simulations in Julia

PowerDynamics.jl104Package for dynamical modeling of power grids

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

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

QuantumCumulants.jl70Generalized meanfield equations in open quantum systems

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

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

Sophon.jl54Efficient, Accurate, and Streamlined Training of PhysicsInformed Neural Networks

MinimallyDisruptiveCurves.jl49Finds relationships between the parameters of a mathematical model

MomentClosure.jl44Tools to generate and study moment equations for any chemical reaction network using various moment closure approximations

InformationGeometry.jl40Methods for computational information geometry

SBMLToolkit.jl39SBML differential equation and chemical reaction model (Gillespie simulations) for Julia's SciML ModelingToolkit

Plasma.jl34An interface for accelerated simulation of highdimensional collisionless and electrostatic plasmas.

ModelOrderReduction.jl34Highlevel modelorder reduction to automate the acceleration of largescale simulations

PEtab.jl33Create parameter estimation problems for ODE models

PDESystemLibrary.jl28A library of systems of partial differential equations, as defined with ModelingToolkit.jl in Julia

ParameterEstimation.jl27ParameterEstimation.jl is a Julia package for estimating parameters and initial conditions of ODE models given measurement data.

Ai4EComponentLib.jl27A component library based on ModelingToolkit

ReactionNetworkImporters.jl26Julia Catalyst.jl importers for various reaction network file formats like BioNetGen and stoichiometry matrices

NeuronBuilder.jl24Builds conductance based neural networks iteratively, from ion channels and synapses

BlockSystems.jl23

OptControl.jl23A tool to solve optimal control problem

ModelingToolkitNeuralNets.jl22SymbolicNumeric Universal Differential Equations for Automating Scientific Machine Learning (SciML)

GeneralAstrodynamics.jl21Astrodynamics with units! Provides common astrodynamics calculations, plotting, and iterative Halo, Kepler, and Lambert solvers.

MATLABDiffEq.jl20Common interface bindings for the MATLAB ODE solvers via MATLAB.jl for the SciML Scientific Machine Learning ecosystem

FiniteStateProjection.jl19Finite State Projection algorithms for chemical reaction networks
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