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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 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
  • RecursiveArrayTools.jl Public

    Tools for easily handling objects like arrays of arrays and deeper nestings in scientific machine learning (SciML) and other applications

    SciML/RecursiveArrayTools.jl’s past year of commit activity
    Julia 217 60 27 1 Updated Feb 4, 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 1,461 211 335 (3 issues need help) 72 Updated Feb 4, 2025
  • SurrogatesBase.jl Public

    Basically just a surrogate in disguise

    SciML/SurrogatesBase.jl’s past year of commit activity
    Julia 4 MIT 3 0 0 Updated Feb 4, 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 4, 2025
  • Integrals.jl Public

    A common interface for quadrature and numerical integration for the SciML scientific machine learning organization

    SciML/Integrals.jl’s past year of commit activity
    Julia 231 MIT 30 22 (1 issue needs help) 6 Updated Feb 4, 2025
  • 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 1,028 206 109 (1 issue needs help) 17 Updated Feb 4, 2025
  • StructuralIdentifiability.jl Public

    Fast and automatic structural identifiability software for ODE systems

    SciML/StructuralIdentifiability.jl’s past year of commit activity
    Julia 113 MIT 18 9 4 Updated Feb 4, 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 250 56 67 (9 issues need help) 13 Updated Feb 3, 2025
  • 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 245 MIT 44 33 (7 issues need help) 6 Updated Feb 3, 2025
  • SciMLBook Public

    Parallel Computing and Scientific Machine Learning (SciML): Methods and Applications (MIT 18.337J/6.338J)

    SciML/SciMLBook’s past year of commit activity
    HTML 1,870 339 10 1 Updated Feb 3, 2025