Dependency Packages

NeuralPDE.jl755PhysicsInformed Neural Networks (PINN) and Deep BSDE Solvers of Differential Equations for Scientific Machine Learning (SciML) accelerated simulation

DiffEqTutorials.jl694Tutorials for doing scientific machine learning (SciML) and highperformance differential equation solving with open source software.

DataDrivenDiffEq.jl372Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization

Catalyst.jl342Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPUparallelized, and O(1) solvers in open source software

MethodOfLines.jl118Automatic Finite Difference PDE solving with Julia SciML

DiffEqBayes.jl117Extension functionality which uses Stan.jl, DynamicHMC.jl, and Turing.jl to estimate the parameters to differential equations and perform Bayesian probabilistic scientific machine learning

FunctionalModels.jl111Equationbased modeling and simulations in Julia

ODEFilters.jl100Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing

SymbolicNumericIntegration.jl93SymbolicNumericIntegration.jl: SymbolicNumerics for Solving Integrals

PowerDynamics.jl88Package for dynamical modeling of power grids

ValidatedNumerics.jl81Rigorous floatingpoint calculations with interval arithmetic in Julia

ModelingToolkitStandardLibrary.jl76A standard library of components to model the world and beyond

OrbitalTrajectories.jl74OrbitalTrajectories.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.jl74High level functions for analyzing the output of simulations

ParameterizedFunctions.jl72A simple domainspecific language (DSL) for defining differential equations for use in scientific machine learning (SciML) and other applications

StructuralIdentifiability.jl63Fast and automatic structural identifiability software for ODE systems

IntervalConstraintProgramming.jl60Calculate rigorously the feasible region for a set of realvalued inequalities with Julia

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

QuantumCumulants.jl52Generalized meanfield equations in open quantum systems

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

Conductor.jl47Choochoo

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

MinimallyDisruptiveCurves.jl43Finds relationships between the parameters of a mathematical model

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

Sophon.jl36Neural networks and neural operators for physicsinformed machine learning

ModelingToolkitDesigner.jl35A helper tool for visualizing and editing a ModelingToolkit.jl system connections

SBMLToolkit.jl31SBML differential equation and chemical reaction model (Gillespie simulations) for Julia's SciML ModelingToolkit

Plasma.jl30An interface for accelerated simulation of highdimensional collisionless and electrostatic plasmas.

InformationGeometry.jl27Methods for computational information geometry

ODINN.jl27Global glacier model using Universal Differential Equations for climateglacier interactions

ModelOrderReduction.jl27Highlevel modelorder reduction to automate the acceleration of largescale simulations

PDESystemLibrary.jl24A library of systems of partial differential equations, as defined with ModelingToolkit.jl in Julia

NeuronBuilder.jl23Builds conductance based neural networks iteratively, from ion channels and synapses

ReactionNetworkImporters.jl23Julia Catalyst.jl importers for various reaction network file formats like BioNetGen and stoichiometry matrices

BlockSystems.jl20

OptControl.jl19A tool to solve optimal control problem

FiniteStateProjection.jl18Finite State Projection algorithms for chemical reaction networks

MATLABDiffEq.jl18Common interface bindings for the MATLAB ODE solvers via MATLAB.jl for the SciML Scientific Machine Learning ecosystem

Ai4EComponentLib.jl18A component library based on ModelingToolkit

ParameterEstimation.jl17ParameterEstimation.jl is a Julia package for estimating parameters and initial conditions of ODE models given measurement data.
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