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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 2.9k 235

  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 215

  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 889 155

  4. 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 213

  5. diffeqpy diffeqpy Public

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

    Python 562 42

  6. diffeqr diffeqr Public

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

    R 144 15

Repositories

Showing 10 of 186 repositories
  • RuntimeGeneratedFunctions.jl Public

    Functions generated at runtime without world-age issues or overhead

    SciML/RuntimeGeneratedFunctions.jl’s past year of commit activity
    Julia 104 MIT 14 14 (1 issue needs help) 0 Updated Apr 12, 2025
  • Catalyst.jl Public

    Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software.

    SciML/Catalyst.jl’s past year of commit activity
    Julia 475 79 99 (2 issues need help) 12 Updated Apr 12, 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 17 6 1 0 Updated Apr 12, 2025
  • EllipsisNotation.jl Public

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

    SciML/EllipsisNotation.jl’s past year of commit activity
    Julia 95 14 2 0 Updated Apr 12, 2025
  • BoundaryValueDiffEq.jl Public

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

    SciML/BoundaryValueDiffEq.jl’s past year of commit activity
    Julia 47 37 26 7 Updated Apr 12, 2025
  • CasADi.jl Public Forked from ichatzinikolaidis/CasADi.jl

    Julia interface to CasADi via PythonCall

    SciML/CasADi.jl’s past year of commit activity
    Julia 2 MIT 9 2 0 Updated Apr 11, 2025
  • FindFirstFunctions.jl Public

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

    SciML/FindFirstFunctions.jl’s past year of commit activity
    Julia 10 MIT 3 3 0 Updated Apr 11, 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 349 74 105 12 Updated Apr 11, 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 1,498 215 352 (3 issues need help) 83 Updated Apr 11, 2025
  • sciml.ai Public

    The SciML Scientific Machine Learning Software Organization Website

    SciML/sciml.ai’s past year of commit activity
    CSS 56 MIT 42 7 1 Updated Apr 11, 2025