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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 3.1k 246

  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 244

  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 235

  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 911 159

  5. diffeqpy diffeqpy Public

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

    Python 590 52

  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 201 repositories
  • BoundaryValueDiffEq.jl Public

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

    SciML/BoundaryValueDiffEq.jl’s past year of commit activity
    Julia 56 42 23 10 Updated Feb 20, 2026
  • NonlinearSolve.jl Public

    High-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and Newton-Krylov support.

    SciML/NonlinearSolve.jl’s past year of commit activity
    Julia 289 MIT 66 42 (4 issues need help) 13 Updated Feb 20, 2026
  • FiniteVolumeMethod.jl Public

    Solver for two-dimensional conservation equations using the finite volume method in Julia.

    SciML/FiniteVolumeMethod.jl’s past year of commit activity
    Julia 49 MIT 8 2 4 Updated Feb 20, 2026
  • 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 26 MIT 8 1 1 Updated Feb 20, 2026
  • PreallocationTools.jl Public

    Tools for building non-allocating pre-cached functions in Julia, allowing for GC-free usage of automatic differentiation in complex codes

    SciML/PreallocationTools.jl’s past year of commit activity
    Julia 126 20 3 1 Updated Feb 20, 2026
  • 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 278 85 68 (7 issues need help) 8 Updated Feb 20, 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 353 122 62 11 Updated Feb 20, 2026
  • FiniteVolumeMethod1D.jl Public

    Implementation of the finite volume method in 1D.

    SciML/FiniteVolumeMethod1D.jl’s past year of commit activity
    Julia 6 MIT 2 1 1 Updated Feb 19, 2026
  • StochasticDiffEq.jl Public

    Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem

    SciML/StochasticDiffEq.jl’s past year of commit activity
    Julia 315 77 93 (2 issues need help) 10 Updated Feb 20, 2026
  • BaseModelica.jl Public

    Importers for the BaseModelica standard into the Julia ModelingToolkit ecosystem

    SciML/BaseModelica.jl’s past year of commit activity
    Python 8 MIT 4 7 0 Updated Feb 19, 2026