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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 242

  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 232

  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 223

  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 895 161

  5. diffeqpy diffeqpy Public

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

    Python 578 46

  6. diffeqr diffeqr Public

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

    R 145 16

Repositories

Showing 10 of 198 repositories
  • NeuralLyapunov.jl Public

    A library for searching for neural Lyapunov functions in Julia.

    SciML/NeuralLyapunov.jl’s past year of commit activity
    Julia 4 2 2 5 Updated Sep 23, 2025
  • Scientific_Modeling_Cheatsheet Public

    Scientific Modeling Cheatsheet MATLAB – Python – Julia Quick Reference: MATLAB – Python – Julia Quick Reference

    SciML/Scientific_Modeling_Cheatsheet’s past year of commit activity
    HTML 4 MIT 0 1 0 Updated Sep 23, 2025
  • Static.jl Public

    Static types useful for dispatch and generated functions.

    SciML/Static.jl’s past year of commit activity
    Julia 59 MIT 17 17 7 Updated Sep 23, 2025
  • Julia_Modeling_Workshop Public

    High-Performance Scientific Modeling with Julia and SciML

    SciML/Julia_Modeling_Workshop’s past year of commit activity
    HTML 70 MIT 7 0 0 Updated Sep 23, 2025
  • BoundaryValueDiffEq.jl Public

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

    SciML/BoundaryValueDiffEq.jl’s past year of commit activity
    Julia 51 40 26 7 Updated Sep 23, 2025
  • SurrogatesBase.jl Public

    Basically just a surrogate in disguise

    SciML/SurrogatesBase.jl’s past year of commit activity
    Julia 5 MIT 4 0 1 Updated Sep 23, 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 1,555 232 422 (3 issues need help) 94 Updated Sep 23, 2025
  • 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 801 MIT 101 95 15 Updated Sep 23, 2025
  • SciMLDocs Public

    Global documentation for the Julia SciML Scientific Machine Learning Organization

    SciML/SciMLDocs’s past year of commit activity
    Julia 79 MIT 51 8 6 Updated Sep 22, 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 605 235 329 (11 issues need help) 47 Updated Sep 22, 2025