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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 systemsdeveloped in the Julia programming language with bindings to other languages such as R andPython. The organization provides well-maintained tools which compose together as acoherent ecosystem. It has a coherent development principle, unified APIs over largecollections of equation solvers, pervasive differentiability and sensitivity analysis, andfeatures 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.jlDifferentialEquations.jlPublic

    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.jlModelingToolkit.jlPublic

    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 213

  3. DiffEqFlux.jlDiffEqFlux.jlPublic

    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 887 155

  4. NeuralPDE.jlNeuralPDE.jlPublic

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

    Julia 1.1k 213

  5. diffeqpydiffeqpyPublic

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

    Python 559 42

  6. diffeqrdiffeqrPublic

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

    R 143 15

Repositories

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Showing 10 of 183 repositories
  • SimpleNonlinearSolve.jl Public

    Fast and simple nonlinear solvers for the SciML common interface. Newton, Broyden, Bisection, Falsi, and more rootfinders on a standard interface.

    SciML/SimpleNonlinearSolve.jl’s past year of commit activity
    Julia 67MIT 26 1 7 UpdatedMar 27, 2025
  • 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 578 221 313(11 issues need help) 48 UpdatedMar 27, 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 257MIT 46 36(6 issues need help) 17 UpdatedMar 27, 2025
  • DiffEqBase.jl Public

    The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems

    SciML/DiffEqBase.jl’s past year of commit activity
    Julia 325 118 55 14 UpdatedMar 27, 2025
  • SciMLDocs Public

    Global documentation for the Julia SciML Scientific Machine Learning Organization

    SciML/SciMLDocs’s past year of commit activity
    Julia 69MIT 46 16 1 UpdatedMar 27, 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 324MIT 89 35 73 UpdatedMar 27, 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 1,491 213 345(3 issues need help) 79 UpdatedMar 27, 2025
  • ReservoirComputing.jl Public

    Reservoir computing utilities for scientific machine learning (SciML)

    SciML/ReservoirComputing.jl’s past year of commit activity
    Julia 213MIT 39 28(6 issues need help) 7 UpdatedMar 27, 2025
  • ModelingToolkitNeuralNets.jl Public

    Symbolic-Numeric Universal Differential Equations for Automating Scientific Machine Learning (SciML)

    SciML/ModelingToolkitNeuralNets.jl’s past year of commit activity
    Julia 27MIT 2 6 0 UpdatedMar 27, 2025
  • PSOGPU.jl Public

    GPU accelerated Particle Swarm Optimization

    SciML/PSOGPU.jl’s past year of commit activity
    Julia 15MIT 1 11 7 UpdatedMar 27, 2025

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