Dependency Packages
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NeuralPDE.jl755Physics-Informed Neural Networks (PINN) and Deep BSDE Solvers of Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
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DiffEqTutorials.jl694Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.
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DataDrivenDiffEq.jl372Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization
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Catalyst.jl342Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software
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MethodOfLines.jl118Automatic Finite Difference PDE solving with Julia SciML
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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
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FunctionalModels.jl111Equation-based modeling and simulations in Julia
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ODEFilters.jl100Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing
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SymbolicNumericIntegration.jl93SymbolicNumericIntegration.jl: Symbolic-Numerics for Solving Integrals
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PowerDynamics.jl88Package for dynamical modeling of power grids
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ValidatedNumerics.jl81Rigorous floating-point calculations with interval arithmetic in Julia
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ModelingToolkitStandardLibrary.jl76A standard library of components to model the world and beyond
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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 high-performance simulations of astrodynamical models.
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EasyModelAnalysis.jl74High level functions for analyzing the output of simulations
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ParameterizedFunctions.jl72A simple domain-specific language (DSL) for defining differential equations for use in scientific machine learning (SciML) and other applications
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StructuralIdentifiability.jl63Fast and automatic structural identifiability software for ODE systems
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IntervalConstraintProgramming.jl60Calculate rigorously the feasible region for a set of real-valued inequalities with Julia
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ReactionMechanismSimulator.jl54The amazing Reaction Mechanism Simulator for simulating large chemical kinetic mechanisms
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QuantumCumulants.jl52Generalized mean-field equations in open quantum systems
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CellMLToolkit.jl51CellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.
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Conductor.jl47Choo-choo
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WorldDynamics.jl44An open-source framework written in Julia for global integrated assessment models.
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MinimallyDisruptiveCurves.jl43Finds relationships between the parameters of a mathematical model
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MomentClosure.jl41Tools to generate and study moment equations for any chemical reaction network using various moment closure approximations
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Sophon.jl36Neural networks and neural operators for physics-informed machine learning
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ModelingToolkitDesigner.jl35A helper tool for visualizing and editing a ModelingToolkit.jl system connections
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SBMLToolkit.jl31SBML differential equation and chemical reaction model (Gillespie simulations) for Julia's SciML ModelingToolkit
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Plasma.jl30An interface for accelerated simulation of high-dimensional collisionless and electrostatic plasmas.
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InformationGeometry.jl27Methods for computational information geometry
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ODINN.jl27Global glacier model using Universal Differential Equations for climate-glacier interactions
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ModelOrderReduction.jl27High-level model-order reduction to automate the acceleration of large-scale simulations
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PDESystemLibrary.jl24A library of systems of partial differential equations, as defined with ModelingToolkit.jl in Julia
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NeuronBuilder.jl23Builds conductance based neural networks iteratively, from ion channels and synapses
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ReactionNetworkImporters.jl23Julia Catalyst.jl importers for various reaction network file formats like BioNetGen and stoichiometry matrices
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BlockSystems.jl20-
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OptControl.jl19A tool to solve optimal control problem
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FiniteStateProjection.jl18Finite State Projection algorithms for chemical reaction networks
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MATLABDiffEq.jl18Common interface bindings for the MATLAB ODE solvers via MATLAB.jl for the SciML Scientific Machine Learning ecosystem
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Ai4EComponentLib.jl18A component library based on ModelingToolkit
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ParameterEstimation.jl17ParameterEstimation.jl is a Julia package for estimating parameters and initial conditions of ODE models given measurement data.
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