Skip to content
@SciML

SciML Open Source Scientific Machine Learning

Open source software for scientific machine learning

Twitter Badge LinkedIn Badge Youtube Badge

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?

Pinned Loading

  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 3.2k 255

  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 1.7k 270

  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 251

  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 929 162

  5. diffeqpy diffeqpy Public

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

    Python 612 54

  6. diffeqr diffeqr Public

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

    R 148 16

Repositories

Showing 10 of 228 repositories
  • PETScDiffEq.jl Public

    Common interface bindings for the PETSc TS time integrators for the SciML Scientific Machine Learning ecosystem

    SciML/PETScDiffEq.jl's past year of commit activity
    Julia 3 MIT 2 13 3 Updated Oct 2, 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 28 MIT 10 0 0 Updated Oct 2, 2026
  • 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 692 279 412 (11 issues need help) 116 Updated Oct 2, 2026
  • 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
    Julia 346 MIT 114 13 21 Updated Oct 2, 2026
  • FindFirstFunctions.jl Public

    Faster `findfirst(==(val), dense_vector)`.

    SciML/FindFirstFunctions.jl's past year of commit activity
    Julia 11 MIT 7 1 2 Updated Oct 2, 2026
  • ExponentialUtilities.jl Public

    Fast and differentiable implementations of matrix exponentials, Krylov exponential matrix-vector multiplications ("expmv"), KIOPS, ExpoKit functions, and more. All your exponential needs in SciML form.

    SciML/ExponentialUtilities.jl's past year of commit activity
    Julia 109 37 27 (1 issue needs help) 6 Updated Oct 2, 2026
  • AudioPlugins.jl Public

    Headless hosting of CLAP and LV2 audio plugins from Julia, behind a C ABI of scalar doubles

    SciML/AudioPlugins.jl's past year of commit activity
    Julia 0 2 2 0 Updated Oct 2, 2026
  • CellMLToolkit.jl Public

    CellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.

    SciML/CellMLToolkit.jl's past year of commit activity
    Julia 68 19 11 1 Updated Oct 2, 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 52 MIT 8 6 1 Updated Oct 2, 2026
  • SciML/CacheAwareConv.jl's past year of commit activity
    Julia 1 1 0 0 Updated Oct 2, 2026