SciML Open Source Scientific Machine Learning

Open source software for scientific machine learning

Websites:Organization Website |Documentation

SciML Organization Stats:

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?

Want to get started running some code? Check out theGetting Started tutorials.
What is SciML? Check out ourOverview.
Want to see some cool end-to-end examples? Check out theSciML Showcase.
Want to learn more about how SciML does scientific machine learning? Check out theSciML Book (from MIT's 18.337 graduate course).
Curious about our performance claims? Check outthe SciML Open Benchmarks.
Want to chat with someone? Check outour chat room andforums.
Want to see our code? Check outthe SciML Github organization.

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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 3k 242
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 227
NeuralPDE.jlNeuralPDE.jlPublic
Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
Julia 1.1k 221
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 892 161
diffeqpydiffeqpyPublic
Solving differential equations in Python using DifferentialEquations.jl and the SciML Scientific Machine Learning organization
Python 570 44
diffeqrdiffeqrPublic
Solving differential equations in R using DifferentialEquations.jl and the SciML Scientific Machine Learning ecosystem
R 144 15

Repositories

Showing 10 of 191 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 261 61 70 (9 issues need help) 8 UpdatedJul 12, 2025
SciMLBenchmarksOutput Public
SciML-Bench Benchmarks for Scientific Machine Learning (SciML), Physics-Informed Machine Learning (PIML), and Scientific AI Performance
SciML/SciMLBenchmarksOutput’s past year of commit activity
HTML 23MIT 6 0 1 UpdatedJul 12, 2025
RuntimeGeneratedFunctions.jl Public
Functions generated at runtime without world-age issues or overhead
SciML/RuntimeGeneratedFunctions.jl’s past year of commit activity
Julia 106MIT 16 14 (1 issue needs help) 0 UpdatedJul 12, 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 328MIT 97 21 42 UpdatedJul 12, 2025
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 18 6 2 0 UpdatedJul 12, 2025
EllipsisNotation.jl Public
Julia-based implementation of ellipsis array indexing notation `..`
SciML/EllipsisNotation.jl’s past year of commit activity
Julia 96 14 2 0 UpdatedJul 12, 2025
SciMLBook Public
Parallel Computing and Scientific Machine Learning (SciML): Methods and Applications (MIT 18.337J/6.338J)
SciML/SciMLBook’s past year of commit activity
HTML 1,920 353 11 2 UpdatedJul 12, 2025
DataInterpolations.jl Public
A library of data interpolation and smoothing functions
SciML/DataInterpolations.jl’s past year of commit activity
Julia 250MIT 52 32 (2 issues need help) 5 UpdatedJul 12, 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 785MIT 98 82 (4 issues need help) 19 UpdatedJul 11, 2025
OrdinaryDiffEqOperatorSplitting.jl Public
Toolbox to handle and solve split formulations of a wide variety of ODE and DAE problems.
SciML/OrdinaryDiffEqOperatorSplitting.jl’s past year of commit activity
Julia 4MIT 1 3 (1 issue needs help) 1 UpdatedJul 11, 2025