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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 3.2k 255

  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 1.7k 270

  3. NeuralPDE.jl NeuralPDE.jl Public

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

    Julia 1.2k 250

  4. 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 926 162

  5. diffeqpy diffeqpy Public

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

    Python 611 54

  6. diffeqr diffeqr Public

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

    R 148 16

Repositories

Showing 10 of 228 repositories
  • 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 293 93 12 5 Updated Sep 19, 2026
  • 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 1,682 270 551 (2 issues need help) 124 Updated Sep 19, 2026
  • SparseColumnPivotedQR.jl Public

    Pure-Julia rank-revealing column-pivoted Householder QR for SparseMatrixCSR

    SciML/SparseColumnPivotedQR.jl's past year of commit activity
    Julia 1 MIT 1 3 1 Updated Sep 19, 2026
  • PoissonRandom.jl Public

    Fast Poisson Random Numbers in pure Julia for scientific machine learning (SciML)

    SciML/PoissonRandom.jl's past year of commit activity
    Julia 20 6 2 0 Updated Sep 19, 2026
  • EllipsisNotation.jl Public

    Julia-based implementation of ellipsis array indexing notation `..`

    SciML/EllipsisNotation.jl's past year of commit activity
    Julia 99 15 3 0 Updated Sep 19, 2026
  • 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 309 MIT 77 58 (4 issues need help) 30 Updated Sep 19, 2026
  • Surrogates.jl Public

    Surrogate modeling and optimization for scientific machine learning (SciML)

    SciML/Surrogates.jl's past year of commit activity
    Julia 382 78 30 2 Updated Sep 19, 2026
  • GeometricIntegratorsDiffEq.jl Public

    Wrappers for GeometricIntegrators.jl into the SciML common interface for scientific machine learning (SciML)

    SciML/GeometricIntegratorsDiffEq.jl's past year of commit activity
    Julia 8 13 3 1 Updated Sep 19, 2026
  • SteadyStateDiffEq.jl Public

    Solvers for steady states in scientific machine learning (SciML)

    SciML/SteadyStateDiffEq.jl's past year of commit activity
    Julia 30 24 9 0 Updated Sep 19, 2026
  • PETScDiffEq.jl Public

    Common interface bindings for the PETSc TS time integrators for the SciML Scientific Machine Learning ecosystem

    SciML/PETScDiffEq.jl's past year of commit activity
    Julia 1 MIT 1 0 1 Updated Sep 19, 2026