81 Packages since 2013
User Packages
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DifferentialEquations.jl1769Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components
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ModelingToolkit.jl632A modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physics-informed machine learning and automated transformations of differential equations
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DiffEqFlux.jl510Universal neural differential equations with O(1) backprop, GPUs, and stiff+non-stiff DE solvers, demonstrating scientific machine learning (SciML) and physics-informed machine learning methods
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SciMLTutorials.jl452Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.
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DiffEqTutorials.jl452Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.
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NeuralNetDiffEq.jl327Physics-Informed Neural Networks (PINN) and Deep BSDE Solvers of Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
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NeuralPDE.jl327Physics-Informed Neural Networks (PINN) and Deep BSDE Solvers of Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
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OrdinaryDiffEq.jl216High performance differential equation solvers for ordinary differential equations, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)
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GalacticOptim.jl178Local, global, and beyond optimization for scientific machine learning (SciML)
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DiffEqBiological.jl175Chemical 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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Catalyst.jl175Chemical 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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DataDrivenDiffEq.jl170Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization
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DiffEqOperators.jl166Linear operators for discretizations of differential equations and scientific machine learning (SciML)
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StochasticDiffEq.jl137Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem
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Surrogates.jl131Surrogate modeling and optimization for scientific machine learning (SciML)
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Sundials.jl128Julia interface to Sundials, including a nonlinear solver (KINSOL), ODE's (CVODE and ARKODE), and DAE's (IDA) in a SciML scientific machine learning enabled manner
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SciMLBenchmarks.jl125Benchmarks for scientific machine learning (SciML) software and differential equation solvers
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DiffEqBase.jl115The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems
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DiffEqGPU.jl100GPU-acceleration routines for DifferentialEquations.jl and the broader SciML scientific machine learning ecosystem
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ODE.jl98Assorted basic Ordinary Differential Equation solvers for scientific machine learning (SciML)
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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
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RecursiveArrayTools.jl92Tools for easily handling objects like arrays of arrays and deeper nestings in scientific machine learning (SciML) and other applications
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DiffEqSensitivity.jl90A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimize, and more for ODEs, SDEs, DDEs, DAEs, etc.
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NBodySimulator.jl81A differentiable simulator for scientific machine learning (SciML) with N-body problems, including astrophysical and molecular dynamics
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ReservoirComputing.jl66Reservoir computing utilities for scientific machine learning (SciML)
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LabelledArrays.jl65Arrays which also have a label for each element for easy scientific machine learning (SciML)
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AutoOptimize.jl64Automatic optimization and parallelization for Scientific Machine Learning (SciML)
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ParameterizedFunctions.jl60A simple domain-specific language (DSL) for defining differential equations for use in scientific machine learning (SciML) and other applications
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RuntimeGeneratedFunctions.jl53Functions generated at runtime without world-age issues or overhead
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FEniCS.jl52A scientific machine learning (SciML) wrapper for the FEniCS Finite Element library in the Julia programming language
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Quadrature.jl52A common interface for quadrature and numerical integration for the SciML scientific machine learning organization
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SparsityDetection.jl46Automatic detection of sparsity in pure Julia functions for sparsity-enabled scientific machine learning (SciML)
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MultiScaleArrays.jl45A framework for developing multi-scale arrays for use in scientific machine learning (SciML) simulations
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DiffEqUncertainty.jl41Uncertainty quantification for scientific machine learning (SciML) and differential equations
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DiffEqPhysics.jl40A library for building differential equations arising from physical problems for physics-informed and scientific machine learning (SciML)
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DiffEqJump.jl36Build and simulate jump equations like Gillespie simulations and jump diffusions with constant and state-dependent rates and mix with differential equations and scientific machine learning (SciML)
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DiffEqNoiseProcess.jl33A library of noise processes for stochastic systems like stochastic differential equations (SDEs) and other systems that are present in scientific machine learning (SciML)
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DiffEqParamEstim.jl33Easy scientific machine learning (SciML) parameter estimation with pre-built loss functions
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HelicopterSciML.jl32Helicopter Scientific Machine Learning (SciML) Challenge Problem
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ExponentialUtilities.jl31Utility functions for exponential integrators for the SciML scientific machine learning ecosystem
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