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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 216

  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 889 156

  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 216

  5. diffeqpy diffeqpy Public

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

    Python 561 42

  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 186 repositories
  • 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 327 MIT 91 35 82 Updated Apr 17, 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 580 221 318 (11 issues need help) 43 Updated Apr 17, 2025
  • Sundials.jl Public

    Julia interface to Sundials, including a nonlinear solver (KINSOL), ODE's (CVODE and ARKODE), and DAE's (IDA) in a SciML scientific machine learning enabled manner

    SciML/Sundials.jl’s past year of commit activity
    Julia 209 BSD-2-Clause 79 36 (1 issue needs help) 3 Updated Apr 17, 2025
  • NeuralLyapunov.jl Public

    A library for searching for neural Lyapunov functions in Julia.

    SciML/NeuralLyapunov.jl’s past year of commit activity
    Julia 4 1 2 1 Updated Apr 17, 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 1,501 216 354 (3 issues need help) 84 Updated Apr 17, 2025
  • ParameterizedFunctions.jl Public

    A simple domain-specific language (DSL) for defining differential equations for use in scientific machine learning (SciML) and other applications

    SciML/ParameterizedFunctions.jl’s past year of commit activity
    Julia 76 16 1 1 Updated Apr 17, 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 74 105 12 Updated Apr 17, 2025
  • NDInterpolations.jl Public

    Interpolation of arbitrarily high dimensional array data

    SciML/NDInterpolations.jl’s past year of commit activity
    Julia 5 MIT 0 14 (1 issue needs help) 2 Updated Apr 17, 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 8 Updated Apr 17, 2025
  • SBMLToolkit.jl Public

    SBML differential equation and chemical reaction model (Gillespie simulations) for Julia's SciML ModelingToolkit

    SciML/SBMLToolkit.jl’s past year of commit activity
    Julia 42 MIT 11 10 10 Updated Apr 17, 2025

Sponsors

  • @seabbs
  • @pthariensflame
  • @jqfeld
  • @aefarrell
  • @visr
  • @LacraCorcodel
  • @owiecc

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