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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 243

  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 224

  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 898 163

  5. diffeqpy diffeqpy Public

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

    Python 580 48

  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
  • 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 1,125 224 108 (3 issues need help) 23 Updated Oct 13, 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 607 236 330 (11 issues need help) 50 Updated Oct 13, 2025
  • SciMLLogging.jl Public

    A logging system for SciML

    SciML/SciMLLogging.jl’s past year of commit activity
    Julia 6 MIT 4 3 1 Updated Oct 13, 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 269 75 70 (9 issues need help) 12 Updated Oct 13, 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 1,555 233 424 (3 issues need help) 96 Updated Oct 13, 2025
  • IRKGaussLegendre.jl Public

    Implicit Runge-Kutta Gauss-Legendre 16th order (Julia)

    SciML/IRKGaussLegendre.jl’s past year of commit activity
    Julia 28 MIT 9 2 2 Updated Oct 13, 2025
  • SBMLToolkitTestSuite.jl Public

    Functions to run the SBML Test Suite with SBMLToolkit, create logs and create reports for the SBML Test Suite Database

    SciML/SBMLToolkitTestSuite.jl’s past year of commit activity
    Julia 5 MIT 1 0 5 Updated Oct 13, 2025
  • SciML/SimpleBoundaryValueDiffEq.jl’s past year of commit activity
    Julia 3 MIT 6 0 2 Updated Oct 13, 2025
  • MathML.jl Public

    Julia MathML parser

    SciML/MathML.jl’s past year of commit activity
    Julia 25 MIT 11 1 1 Updated Oct 13, 2025
  • SymbolicAnalysis.jl Public

    Symbolics-based function property propagation for optimization

    SciML/SymbolicAnalysis.jl’s past year of commit activity
    Julia 20 MIT 2 1 5 Updated Oct 13, 2025