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@SciML

SciML Open Source Scientific Machine Learning

Open source software for scientific machine learning

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Websites: Organization Website | Documentation

SciML Organization Stats: SciML Stars

SciML: Differentiable Modeling and Simulation Combined with Machine Learning

The SciML organization is a collection of tools for solving equations and modeling systems developed in the Julia programming language with bindings to other languages such as R and Python. The organization provides well-maintained tools which compose together as a coherent ecosystem. It has a coherent development principle, unified APIs over large collections of equation solvers, pervasive differentiability and sensitivity analysis, and features many of the highest performance and parallel implementations one can find.

Scientific Machine Learning (SciML) = Scientific Computing + Machine Learning

Where to Start?

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  1. DifferentialEquations.jl DifferentialEquations.jl Public

    Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential equat…

    Julia 3k 241

  2. ModelingToolkit.jl ModelingToolkit.jl Public

    An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physics-informed machine learning a…

    Julia 1.5k 230

  3. NeuralPDE.jl NeuralPDE.jl Public

    Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation

    Julia 1.1k 221

  4. DiffEqFlux.jl DiffEqFlux.jl Public

    Pre-built implicit layer architectures with O(1) backprop, GPUs, and stiff+non-stiff DE solvers, demonstrating scientific machine learning (SciML) and physics-informed machine learning methods

    Julia 893 161

  5. diffeqpy diffeqpy Public

    Solving differential equations in Python using DifferentialEquations.jl and the SciML Scientific Machine Learning organization

    Python 573 44

  6. diffeqr diffeqr Public

    Solving differential equations in R using DifferentialEquations.jl and the SciML Scientific Machine Learning ecosystem

    R 144 15

Repositories

Showing 10 of 192 repositories
  • EllipsisNotation.jl Public

    Julia-based implementation of ellipsis array indexing notation `..`

    SciML/EllipsisNotation.jl’s past year of commit activity
    Julia 96 14 3 0 Updated Jul 31, 2025
  • Surrogates.jl Public

    Surrogate modeling and optimization for scientific machine learning (SciML)

    SciML/Surrogates.jl’s past year of commit activity
    Julia 347 76 30 2 Updated Jul 31, 2025
  • RecursiveArrayTools.jl Public

    Tools for easily handling objects like arrays of arrays and deeper nestings in scientific machine learning (SciML) and other applications

    SciML/RecursiveArrayTools.jl’s past year of commit activity
    Julia 224 65 33 7 Updated Jul 31, 2025
  • SymbolicNumericIntegration.jl Public

    SymbolicNumericIntegration.jl: Symbolic-Numerics for Solving Integrals

    SciML/SymbolicNumericIntegration.jl’s past year of commit activity
    Julia 128 MIT 11 9 2 Updated Jul 31, 2025
  • SciMLOperators.jl Public

    SciMLOperators.jl: Matrix-Free Operators for the SciML Scientific Machine Learning Common Interface in Julia

    SciML/SciMLOperators.jl’s past year of commit activity
    Julia 52 MIT 13 25 (2 issues need help) 3 Updated Jul 31, 2025
  • NeuralLyapunov.jl Public

    A library for searching for neural Lyapunov functions in Julia.

    SciML/NeuralLyapunov.jl’s past year of commit activity
    Julia 4 1 2 3 Updated Jul 31, 2025
  • SBMLToolkit.jl Public

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

    SciML/SBMLToolkit.jl’s past year of commit activity
    Julia 44 MIT 10 10 9 Updated Jul 31, 2025
  • CurveFit.jl Public

    Least squares and curve fitting in Julia with speed and robustness

    SciML/CurveFit.jl’s past year of commit activity
    Julia 86 17 6 (1 issue needs help) 2 Updated Jul 31, 2025
  • ModelingToolkit.jl Public

    An acausal 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

    SciML/ModelingToolkit.jl’s past year of commit activity
    Julia 1,538 230 399 (3 issues need help) 92 Updated Jul 31, 2025
  • OrdinaryDiffEq.jl Public

    High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)

    SciML/OrdinaryDiffEq.jl’s past year of commit activity
    Julia 601 231 328 (11 issues need help) 54 Updated Jul 31, 2025