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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 233

  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 225

  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 900 163

  5. diffeqpy diffeqpy Public

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

    Python 582 48

  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 198 repositories
  • 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 271 75 70 (9 issues need help) 16 Updated Oct 20, 2025
  • FastPower.jl Public

    A faster approximation to floating point power, at the trade-off of some accuracy

    SciML/FastPower.jl’s past year of commit activity
    Julia 10 MIT 2 0 2 Updated Oct 21, 2025
  • StructuralIdentifiability.jl Public

    Fast and automatic structural identifiability software for ODE systems

    SciML/StructuralIdentifiability.jl’s past year of commit activity
    Julia 125 MIT 22 9 (1 issue needs help) 6 Updated Oct 20, 2025
  • QuasiMonteCarlo.jl Public

    Lightweight and easy generation of quasi-Monte Carlo sequences with a ton of different methods on one API for easy parameter exploration in scientific machine learning (SciML)

    SciML/QuasiMonteCarlo.jl’s past year of commit activity
    Julia 117 MIT 26 16 0 Updated Oct 20, 2025
  • DataInterpolations.jl Public

    A library of data interpolation and smoothing functions

    SciML/DataInterpolations.jl’s past year of commit activity
    Julia 258 MIT 57 41 (2 issues need help) 11 Updated Oct 19, 2025
  • DataInterpolationsND.jl Public

    Interpolation of arbitrarily high dimensional array data

    SciML/DataInterpolationsND.jl’s past year of commit activity
    Julia 24 MIT 5 15 (1 issue needs help) 3 Updated Oct 19, 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 5 MIT 3 6 (1 issue needs help) 1 Updated Oct 19, 2025
  • RuntimeGeneratedFunctions.jl Public

    Functions generated at runtime without world-age issues or overhead

    SciML/RuntimeGeneratedFunctions.jl’s past year of commit activity
    Julia 107 MIT 15 14 (1 issue needs help) 1 Updated Oct 18, 2025
  • 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 19 6 1 0 Updated Oct 18, 2025
  • EllipsisNotation.jl Public

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

    SciML/EllipsisNotation.jl’s past year of commit activity
    Julia 96 14 2 1 Updated Oct 18, 2025