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 2.9k 234

  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 1.5k 211

  3. 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 880 156

  4. NeuralPDE.jl NeuralPDE.jl Public

    Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation

    Julia 1k 206

  5. diffeqpy diffeqpy Public

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

    Python 552 44

  6. diffeqr diffeqr Public

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

    R 143 15

Repositories

Showing 10 of 183 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 250 56 67 (9 issues need help) 14 Updated Feb 1, 2025
  • ReservoirComputing.jl Public

    Reservoir computing utilities for scientific machine learning (SciML)

    SciML/ReservoirComputing.jl’s past year of commit activity
    Julia 210 MIT 39 26 (4 issues need help) 4 Updated Feb 1, 2025
  • SciMLSensitivity.jl Public

    A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimize, adjoint methods, and more for ODEs, SDEs, DDEs, DAEs, etc.

    SciML/SciMLSensitivity.jl’s past year of commit activity
    Julia 333 72 100 9 Updated Feb 1, 2025
  • ModelingToolkitStandardLibrary.jl Public

    A standard library of components to model the world and beyond

    SciML/ModelingToolkitStandardLibrary.jl’s past year of commit activity
    Julia 127 MIT 41 35 22 Updated Feb 1, 2025
  • RuntimeGeneratedFunctions.jl Public

    Functions generated at runtime without world-age issues or overhead

    SciML/RuntimeGeneratedFunctions.jl’s past year of commit activity
    Julia 102 MIT 14 14 (1 issue needs help) 0 Updated Feb 1, 2025
  • 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

    SciML/DiffEqFlux.jl’s past year of commit activity
    Julia 880 MIT 156 37 (1 issue needs help) 4 Updated Feb 1, 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 16 6 1 0 Updated Feb 1, 2025
  • EllipsisNotation.jl Public

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

    SciML/EllipsisNotation.jl’s past year of commit activity
    Julia 92 14 2 0 Updated Feb 1, 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 19 MIT 4 0 1 Updated Feb 1, 2025
  • 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 321 MIT 86 35 69 Updated Feb 1, 2025