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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 229

  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 220

  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 892 160

  5. diffeqpy diffeqpy Public

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

    Python 570 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 193 repositories
  • 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 1,536 229 396 (3 issues need help) 91 Updated Jul 27, 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) 55 Updated Jul 27, 2025
  • SciMLBase.jl Public

    The Base interface of the SciML ecosystem

    SciML/SciMLBase.jl’s past year of commit activity
    Julia 159 MIT 108 64 (2 issues need help) 35 Updated Jul 27, 2025
  • StructuralIdentifiability.jl Public

    Fast and automatic structural identifiability software for ODE systems

    SciML/StructuralIdentifiability.jl’s past year of commit activity
    Julia 123 MIT 20 9 9 Updated Jul 27, 2025
  • ExponentialUtilities.jl Public

    Fast and differentiable implementations of matrix exponentials, Krylov exponential matrix-vector multiplications ("expmv"), KIOPS, ExpoKit functions, and more. All your exponential needs in SciML form.

    SciML/ExponentialUtilities.jl’s past year of commit activity
    Julia 99 30 26 (1 issue needs help) 4 Updated Jul 27, 2025
  • DiffEqCallbacks.jl Public

    A library of useful callbacks for hybrid scientific machine learning (SciML) with augmented differential equation solvers

    SciML/DiffEqCallbacks.jl’s past year of commit activity
    Julia 99 52 21 5 Updated Jul 27, 2025
  • PolyChaos.jl Public

    A Julia package to construct orthogonal polynomials, their quadrature rules, and use it with polynomial chaos expansions.

    SciML/PolyChaos.jl’s past year of commit activity
    Julia 122 MIT 26 15 (1 issue needs help) 6 Updated Jul 27, 2025
  • DiffEqNoiseProcess.jl Public

    A library of noise processes for stochastic systems like stochastic differential equations (SDEs) and other systems that are present in scientific machine learning (SciML)

    SciML/DiffEqNoiseProcess.jl’s past year of commit activity
    Julia 63 29 16 7 Updated Jul 27, 2025
  • DiffEqDevTools.jl Public

    Benchmarking, testing, and development tools for differential equations and scientific machine learning (SciML)

    SciML/DiffEqDevTools.jl’s past year of commit activity
    Julia 52 34 3 2 Updated Jul 27, 2025
  • LinearSolve.jl Public

    LinearSolve.jl: High-Performance Unified Interface for Linear Solvers in Julia. Easily switch between factorization and Krylov methods, add preconditioners, and all in one interface.

    SciML/LinearSolve.jl’s past year of commit activity
    Julia 262 64 70 (9 issues need help) 10 Updated Jul 27, 2025