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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 237

  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 217

  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 892 156

  4. NeuralPDE.jl NeuralPDE.jl Public

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

    Julia 1.1k 217

  5. diffeqpy diffeqpy Public

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

    Python 565 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 187 repositories
  • StochasticDelayDiffEq.jl Public

    Stochastic delay differential equations (SDDE) solvers for the SciML scientific machine learning ecosystem

    SciML/StochasticDelayDiffEq.jl’s past year of commit activity
    Julia 28 MIT 9 8 3 Updated May 5, 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 348 73 103 13 Updated May 5, 2025
  • Optimization.jl Public

    Mathematical Optimization in Julia. Local, global, gradient-based and derivative-free. Linear, Quadratic, Convex, Mixed-Integer, and Nonlinear Optimization in one simple, fast, and differentiable interface.

    SciML/Optimization.jl’s past year of commit activity
    Julia 773 MIT 91 82 (4 issues need help) 15 Updated May 5, 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 142 MIT 44 36 22 Updated May 5, 2025
  • 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 281 69 89 (2 issues need help) 11 Updated May 5, 2025
  • SymbolicAnalysis.jl Public

    Symbolics-based function property propagation for optimization

    SciML/SymbolicAnalysis.jl’s past year of commit activity
    Julia 20 MIT 1 1 5 Updated May 5, 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 256 60 69 (9 issues need help) 10 Updated May 5, 2025
  • DiffEqNoiseProcess.jl Public

    A library of noise processes for stochastic systems like stochastic differential equations (SDEs) and other systems that are present in scientific machine learning (SciML)

    SciML/DiffEqNoiseProcess.jl’s past year of commit activity
    Julia 63 29 15 5 Updated May 5, 2025
  • DiffEqDocs.jl Public

    Documentation for the DiffEq differential equations and scientific machine learning (SciML) ecosystem

    SciML/DiffEqDocs.jl’s past year of commit activity
    Julia 291 246 23 2 Updated May 4, 2025
  • SciMLBase.jl Public

    The Base interface of the SciML ecosystem

    SciML/SciMLBase.jl’s past year of commit activity
    Julia 153 MIT 105 61 (2 issues need help) 38 Updated May 5, 2025