Dependency Packages

ModelingToolkit.jl1212An acausal 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

Symbolics.jl1169A fast and modern CAS for a fast and modern language.

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

TopOpt.jl141A beautifully Julian topology optimization package.

VoronoiFVM.jl134Solution of nonlinear multiphysics partial differential equation systems using the Voronoi finite volume method

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

Nonconvex.jl91Toolbox for nonconvex constrained optimization.

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

ContactImplicitMPC.jl55Fast contactimplicit model predictive control for robotic systems that make and break contact with their environments.

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.

ReversePropagation.jl48

Conductor.jl47Choochoo

PETLION.jl47Highperformance simulations of the Porous Electrode Theory for Liion batteries

CALIPSO.jl45Conic Augmented Lagrangian InteriorPoint SOlver

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

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!

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

DifferentiableTrajectoryOptimization.jl40Differentiable trajectory optimization in Julia.

SymbolicControlSystems.jl39Ccode generation and an interface between ControlSystems.jl and SymPy.jl

DifferentiableStateSpaceModels.jl38

Sophon.jl36Neural networks and neural operators for physicsinformed machine learning

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

Silico.jl33Unified contact simulaton and collision detection
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