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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 236

  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 228

  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 905 161

  5. diffeqpy diffeqpy Public

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

    Python 584 50

  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 199 repositories
  • ParallelParticleSwarms.jl Public

    GPU accelerated Particle Swarm Optimization

    SciML/ParallelParticleSwarms.jl’s past year of commit activity
    Julia 26 MIT 4 9 6 Updated Dec 8, 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 1,580 236 433 (3 issues need help) 104 Updated Dec 8, 2025
  • SciMLLogging.jl Public

    A logging system for SciML

    SciML/SciMLLogging.jl’s past year of commit activity
    Julia 8 MIT 5 2 0 Updated Dec 8, 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 274 77 73 (9 issues need help) 11 Updated Dec 8, 2025
  • SciMLTutorialsOutput Public

    Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.

    SciML/SciMLTutorialsOutput’s past year of commit activity
    HTML 22 5 1 3 Updated Dec 8, 2025
  • NeuralPDE.jl Public

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

    SciML/NeuralPDE.jl’s past year of commit activity
    Julia 1,143 228 109 (3 issues need help) 24 Updated Dec 8, 2025
  • DiffEqDocs.jl Public

    Documentation for the DiffEq differential equations and scientific machine learning (SciML) ecosystem

    SciML/DiffEqDocs.jl’s past year of commit activity
    Julia 317 254 20 2 Updated Dec 8, 2025
  • sciml.ai Public

    The SciML Scientific Machine Learning Software Organization Website

    SciML/sciml.ai’s past year of commit activity
    CSS 66 MIT 60 7 1 Updated Dec 8, 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 615 239 337 (11 issues need help) 54 Updated Dec 8, 2025
  • DASSL.jl Public

    Solves stiff differential algebraic equations (DAE) using variable stepsize backwards finite difference formula (BDF) in the SciML scientific machine learning organization

    SciML/DASSL.jl’s past year of commit activity
    Julia 36 17 4 0 Updated Dec 8, 2025