SciML Open Source Scientific Machine Learning

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198 repositories

ProcessSimulator.jl
Public
Julia
•
MIT License
•7•35•4•3•Updated Oct 30, 2025Oct 30, 2025
ModelingToolkitNeuralNets.jl
Public
Symbolic-Numeric Neural DAEs and Universal Differential Equations for Automating Scientific Machine Learning (SciML)
machine-learning julia neural-networks ude neural-ode sciml symbolic-numerics
Julia
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MIT License
•7•37•4•2•Updated Oct 30, 2025Oct 30, 2025
CommonSolve.jl
Public
A common solve function for scientific machine learning (SciML) and beyond
interface scientific-machine-learning sciml composibility
Julia
•8•26•1•0•Updated Oct 30, 2025Oct 30, 2025
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.
gpu julia linear-algebra distributed-computing differential-equations factorization amg multigrid krylov-methods linear-solvers
Julia
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Other
•75•272•71•12•Updated Oct 30, 2025Oct 30, 2025
NeuralLyapunov.jl
Public
A library for searching for neural Lyapunov functions in Julia.
Julia
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Other
•2•4•2•5•Updated Oct 29, 2025Oct 29, 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
computer-algebra optimization julia ode symbolic dde differential-equations ordinary-differential-equations sde pde
Julia
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Other
•233•1.6k•430•100•Updated Oct 29, 2025Oct 29, 2025
ComponentArrays.jl
Public
Arrays with arbitrarily nested named components.
machine-learning simulation optimization julia modeling array controls neural-networks arrays dynamical-systems
Julia
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MIT License
•39•333•68•14•Updated Oct 29, 2025Oct 29, 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)
high-performance julia ode differential-equations ordinary-differential-equations adaptive differentialequations event-handling hacktoberfest scientific-machine-learning
Julia
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Other
•235•607•333•51•Updated Oct 29, 2025Oct 29, 2025
SciMLBase.jl
Public
The Base interface of the SciML ecosystem
julia ode dde ordinary-differential-equations differentialequations sde dae scientific-machine-learning sciml
Julia
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MIT License
•114•168•67•31•Updated Oct 28, 2025Oct 28, 2025
FastPower.jl
Public
A faster approximation to floating point power, at the trade-off of some accuracy
Julia
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MIT License
•3•10•0•2•Updated Oct 28, 2025Oct 28, 2025
DataInterpolationsND.jl
Public
Interpolation of arbitrarily high dimensional array data
interpolation sciml
Julia
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MIT License
•6•26•21•2•Updated Oct 28, 2025Oct 28, 2025
SurrogatesBase.jl
Public
Basically just a surrogate in disguise
Julia
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MIT License
•4•5•0•1•Updated Oct 28, 2025Oct 28, 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.
optimization julia automatic-differentiation global-optimization hacktoberfest nonlinear-optimization convex-optimization algorithmic-differentiation mixed-integer-programming scientific-machine-learning
Julia
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MIT License
•100•805•100•8•Updated Oct 28, 2025Oct 28, 2025
BoundaryValueDiffEq.jl
Public
Boundary value problem (BVP) solvers for scientific machine learning (SciML)
gpu differential-equations differentialequations bvp neural-ode scientific-machine-learning neural-differential-equations neural-bvp sciml
Julia
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Other
•40•51•27•11•Updated Oct 27, 2025Oct 27, 2025
SciMLStyle
Public
A style guide for stylish Julia developers
julia style ode scientific-machine-learning sciml
Julia
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MIT License
•19•231•6•1•Updated Oct 27, 2025Oct 27, 2025
ReservoirComputing.jl
Public
Reservoir computing utilities for scientific machine learning (SciML)
machine-learning julia rnn differential-equations echo-state-networks reservoir-computing scientific-machine-learning sciml
Julia
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MIT License
•41•217•31•6•Updated Oct 27, 2025Oct 27, 2025
CatalystNetworkAnalysis.jl
Public
Network analysis algorithms for reaction networks modeled using Catalyst.jl
Julia
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MIT License
•1•6•1•2•Updated Oct 27, 2025Oct 27, 2025
GlobalSensitivity.jl
Public
Robust, Fast, and Parallel Global Sensitivity Analysis (GSA) in Julia
julia julia-language ode morris-method differential-equations ordinary-differential-equations sensitivity-analysis global-sensitivity-analysis julialang gsa
Julia
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MIT License
•23•59•26•4•Updated Oct 27, 2025Oct 27, 2025
ReactionNetworkImporters.jl
Public
Julia Catalyst.jl importers for various reaction network file formats like BioNetGen and stoichiometry matrices
biology julia chemical-kinetics differential-equations chemical-reactions gillespie-algorithm
Julia
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MIT License
•9•27•9•4•Updated Oct 27, 2025Oct 27, 2025
sciml.ai
Public
The SciML Scientific Machine Learning Software Organization Website
machine-learning julia julia-language ode dde differential-equations sde dae julialang franklin
CSS
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MIT License
•58•64•7•0•Updated Oct 27, 2025Oct 27, 2025
SBMLToolkitTestSuite.jl
Public
Functions to run the SBML Test Suite with SBMLToolkit, create logs and create reports for the SBML Test Suite Database
Julia
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MIT License
•1•5•0•6•Updated Oct 27, 2025Oct 27, 2025
Catalyst.jl
Public
Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software.
simulation biology dsl julia systems-biology ode reaction-network differential-equations sde chemical-reactions
Julia
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Other
•82•500•98•34•Updated Oct 27, 2025Oct 27, 2025
QuasiMonteCarlo.jl
Public
Lightweight and easy generation of quasi-Monte Carlo sequences with a ton of different methods on one API for easy parameter exploration in scientific machine learning (SciML)
julia parameter-estimation quasi-monte-carlo scientific-machine-learning sciml physics-informed-learning
Julia
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MIT License
•26•117•16•0•Updated Oct 26, 2025Oct 26, 2025
DataInterpolations.jl
Public
A library of data interpolation and smoothing functions
Julia
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MIT License
•57•259•41•11•Updated Oct 26, 2025Oct 26, 2025
SciMLStructures.jl
Public
A structure interface for SciML to give queryable properties from user data and parameters
api interfaces
Julia
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MIT License
•7•9•0•1•Updated Oct 26, 2025Oct 26, 2025
DiffEqGPU.jl
Public
GPU-acceleration routines for DifferentialEquations.jl and the broader SciML scientific machine learning ecosystem
gpu ode dde differential-equations differentialequations sde dae neural-ode scientific-machine-learning neural-differential-equations
Julia
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MIT License
•38•309•31•6•Updated Oct 25, 2025Oct 25, 2025
RuntimeGeneratedFunctions.jl
Public
Functions generated at runtime without world-age issues or overhead
julia
Julia
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MIT License
•15•107•14•1•Updated Oct 25, 2025Oct 25, 2025
PoissonRandom.jl
Public
Fast Poisson Random Numbers in pure Julia for scientific machine learning (SciML)
julia high-performance-computing poisson poisson-distribution poisson-processes scientific-machine-learning sciml tau-leaping
Julia
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Other
•6•19•1•0•Updated Oct 25, 2025Oct 25, 2025
EllipsisNotation.jl
Public
Julia-based implementation of ellipsis array indexing notation `..`
julia julia-language arrays julialang
Julia
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Other
•14•96•2•1•Updated Oct 25, 2025Oct 25, 2025
SciMLBenchmarksOutput
Public
SciML-Bench Benchmarks for Scientific Machine Learning (SciML), Physics-Informed Machine Learning (PIML), and Scientific AI Performance
python performance r neural-network gpu julia matlab pytorch benchmarks differential-equations
HTML
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MIT License
•7•25•0•1•Updated Oct 24, 2025Oct 24, 2025