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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 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 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 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 Public

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

    Julia 1.1k 217

  5. diffeqpy Public

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

    Python 564 42

  6. diffeqr Public

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

    R 143 15

Repositories

Showing 10 of 187 repositories
  • BoundaryValueDiffEq.jl Public

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

    Julia 50 38 26 5 Updated May 1, 2025
  • ParameterizedFunctions.jl Public

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

    Julia 76 16 1 1 Updated May 1, 2025
  • NeuralLyapunov.jl Public

    A library for searching for neural Lyapunov functions in Julia.

    Julia 4 1 2 1 Updated May 1, 2025
  • ModelingToolkitStandardLibrary.jl Public

    A standard library of components to model the world and beyond

    Julia 142 MIT 44 35 22 Updated May 1, 2025
  • DiffEqDevTools.jl Public

    Benchmarking, testing, and development tools for differential equations and scientific machine learning (SciML)

    Julia 52 35 3 1 Updated May 1, 2025
  • Julia 29 MIT 5 4 1 Updated May 1, 2025
  • CommonSolve.jl Public

    A common solve function for scientific machine learning (SciML) and beyond

    Julia 23 8 1 0 Updated May 1, 2025
  • SymbolicAnalysis.jl Public

    Symbolics-based function property propagation for optimization

    Julia 20 MIT 1 1 4 Updated Apr 30, 2025
  • PreallocationTools.jl Public

    Tools for building non-allocating pre-cached functions in Julia, allowing for GC-free usage of automatic differentiation in complex codes

    Julia 119 16 3 0 Updated Apr 30, 2025
  • Julia 9 MIT 2 1 0 Updated Apr 30, 2025