Skip to content
@SciML

SciML Open Source Scientific Machine Learning

Open source software for scientific machine learning

Twitter Badge LinkedIn Badge Youtube Badge

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?

Pinned Loading

  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 907 159

  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) 48 Updated Jan 16, 2026
  • Optimization.jl Public

    Mathematical Optimization in Julia. Local, global, gradient-based and derivative-free. Linear, Quadratic, Convex, Mixed-Integer, and Nonlinear Optimization in one simple, fast, and differentiable interface.

    SciML/Optimization.jl’s past year of commit activity
    Julia 809 MIT 97 108 9 Updated Jan 16, 2026
  • 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 1,596 240 461 (3 issues need help) 98 Updated Jan 16, 2026
  • ComponentArrays.jl Public

    Arrays with arbitrarily nested named components.

    SciML/ComponentArrays.jl’s past year of commit activity
    Julia 339 MIT 39 71 (1 issue needs help) 8 Updated Jan 16, 2026
  • MultiScaleArrays.jl Public

    A framework for developing multi-scale arrays for use in scientific machine learning (SciML) simulations

    SciML/MultiScaleArrays.jl’s past year of commit activity
    Julia 78 17 4 2 Updated Jan 16, 2026
  • ReservoirComputing.jl Public

    Reservoir computing utilities for scientific machine learning (SciML)

    SciML/ReservoirComputing.jl’s past year of commit activity
    Julia 224 MIT 44 37 (6 issues need help) 3 Updated Jan 16, 2026
  • CellMLToolkit.jl Public

    CellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.

    SciML/CellMLToolkit.jl’s past year of commit activity
    Julia 69 18 11 2 Updated Jan 16, 2026
  • SciMLBase.jl Public

    The Base interface of the SciML ecosystem

    SciML/SciMLBase.jl’s past year of commit activity
    Julia 167 MIT 115 72 (2 issues need help) 32 Updated Jan 16, 2026
  • DiffEqBase.jl Public

    The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems

    SciML/DiffEqBase.jl’s past year of commit activity
    Julia 349 122 60 11 Updated Jan 16, 2026
  • 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 319 253 20 3 Updated Jan 16, 2026