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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 244

  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 1.6k 240

  3. NeuralPDE.jl NeuralPDE.jl Public

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

    Julia 1.2k 231

  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 908 159

  5. diffeqpy diffeqpy Public

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

    Python 590 51

  6. diffeqr diffeqr Public

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

    R 147 16

Repositories

Showing 10 of 200 repositories
  • 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 620 242 341 (11 issues need help) 47 Updated Jan 18, 2026
  • Catalyst.jl Public

    Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software.

    SciML/Catalyst.jl’s past year of commit activity
    Julia 504 80 106 (3 issues need help) 15 Updated Jan 17, 2026
  • ModelingToolkitNeuralNets.jl Public

    Symbolic-Numeric Neural DAEs and Universal Differential Equations for Automating Scientific Machine Learning (SciML)

    SciML/ModelingToolkitNeuralNets.jl’s past year of commit activity
    Julia 39 MIT 6 8 3 Updated Jan 17, 2026
  • BoundaryValueDiffEq.jl Public

    Boundary value problem (BVP) solvers for scientific machine learning (SciML)

    SciML/BoundaryValueDiffEq.jl’s past year of commit activity
    Julia 54 38 28 14 Updated Jan 17, 2026
  • RuntimeGeneratedFunctions.jl Public

    Functions generated at runtime without world-age issues or overhead

    SciML/RuntimeGeneratedFunctions.jl’s past year of commit activity
    Julia 108 MIT 15 15 (1 issue needs help) 1 Updated Jan 17, 2026
  • StochasticDiffEq.jl Public

    Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem

    SciML/StochasticDiffEq.jl’s past year of commit activity
    Julia 310 76 93 (2 issues need help) 11 Updated Jan 17, 2026
  • PoissonRandom.jl Public

    Fast Poisson Random Numbers in pure Julia for scientific machine learning (SciML)

    SciML/PoissonRandom.jl’s past year of commit activity
    Julia 20 6 1 0 Updated Jan 17, 2026
  • EllipsisNotation.jl Public

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

    SciML/EllipsisNotation.jl’s past year of commit activity
    Julia 98 14 3 0 Updated Jan 17, 2026
  • GlobalSensitivity.jl Public

    Robust, Fast, and Parallel Global Sensitivity Analysis (GSA) in Julia

    SciML/GlobalSensitivity.jl’s past year of commit activity
    Julia 62 MIT 22 27 1 Updated Jan 17, 2026
  • SciMLSensitivity.jl Public

    A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimize, adjoint methods, and more for ODEs, SDEs, DDEs, DAEs, etc.

    SciML/SciMLSensitivity.jl’s past year of commit activity
    Julia 376 79 124 15 Updated Jan 17, 2026