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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 231

  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 894 160

  5. diffeqpy diffeqpy Public

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

    Python 577 45

  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 196 repositories
  • SciMLBenchmarks.jl Public

    Scientific machine learning (SciML) benchmarks, AI for science, and (differential) equation solvers. Covers Julia, Python (PyTorch, Jax), MATLAB, R

    SciML/SciMLBenchmarks.jl’s past year of commit activity
    MATLAB 329 MIT 101 20 47 Updated Sep 16, 2025
  • SciMLBenchmarksOutput Public

    SciML-Bench Benchmarks for Scientific Machine Learning (SciML), Physics-Informed Machine Learning (PIML), and Scientific AI Performance

    SciML/SciMLBenchmarksOutput’s past year of commit activity
    HTML 24 MIT 7 0 1 Updated Sep 16, 2025
  • OrdinaryDiffEqOperatorSplitting.jl Public

    Toolbox to handle and solve split formulations of a wide variety of ODE and DAE problems.

    SciML/OrdinaryDiffEqOperatorSplitting.jl’s past year of commit activity
    Julia 4 MIT 3 3 (1 issue needs help) 1 Updated Sep 15, 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 15, 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 604 235 330 (11 issues need help) 48 Updated Sep 15, 2025
  • SciMLDocs Public

    Global documentation for the Julia SciML Scientific Machine Learning Organization

    SciML/SciMLDocs’s past year of commit activity
    Julia 79 MIT 50 7 6 Updated Sep 15, 2025
  • sciml.ai Public

    The SciML Scientific Machine Learning Software Organization Website

    SciML/sciml.ai’s past year of commit activity
    CSS 61 MIT 57 7 0 Updated Sep 15, 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 800 MIT 101 94 15 Updated Sep 15, 2025
  • SciMLOperators.jl Public

    SciMLOperators.jl: Matrix-Free Operators for the SciML Scientific Machine Learning Common Interface in Julia

    SciML/SciMLOperators.jl’s past year of commit activity
    Julia 52 MIT 16 26 (1 issue needs help) 5 Updated Sep 15, 2025
  • DataInterpolations.jl Public

    A library of data interpolation and smoothing functions

    SciML/DataInterpolations.jl’s past year of commit activity
    Julia 258 MIT 55 40 (2 issues need help) 11 Updated Sep 15, 2025