SciML Open Source Scientific Machine Learning

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199 repositories

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
•42•219•29•3•Updated Dec 6, 2025Dec 6, 2025
RuntimeGeneratedFunctions.jl
Public
Functions generated at runtime without world-age issues or overhead
julia
Julia
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MIT License
•16•108•14•0•Updated Dec 6, 2025Dec 6, 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
•7•19•1•0•Updated Dec 6, 2025Dec 6, 2025
EllipsisNotation.jl
Public
Julia-based implementation of ellipsis array indexing notation `..`
julia julia-language arrays julialang
Julia
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Other
•15•97•2•0•Updated Dec 6, 2025Dec 6, 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•61•26•4•Updated Dec 6, 2025Dec 6, 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
•236•1.6k•435•102•Updated Dec 6, 2025Dec 6, 2025
FindFirstFunctions.jl
Public
Faster `findfirst(==(val), dense_vector)`.
Julia
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MIT License
•5•11•3•0•Updated Dec 5, 2025Dec 5, 2025
DelayDiffEq.jl
Public
Delay differential equation (DDE) solvers in Julia for the SciML scientific machine learning ecosystem. Covers neutral and retarded delay differential equations, and differential-algebraic equations.
julia ode dde differential-equations adaptive differentialequations delay-differential-equations solvers stiff scientific-machine-learning
Julia
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Other
•28•61•18•8•Updated Dec 5, 2025Dec 5, 2025
CellMLToolkit.jl
Public
CellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.
julia systems-biology ode differential-equations physiology cellml scientific-machine-learning sciml
Julia
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Other
•18•69•9•1•Updated Dec 5, 2025Dec 5, 2025
BaseModelica.jl
Public
Importers for the BaseModelica standard into the Julia ModelingToolkit ecosystem
julia ode modelica differential-equations dae sciml symbolic-numeric-computing
Python
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MIT License
•5•8•8•0•Updated Dec 4, 2025Dec 4, 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
•8•9•0•0•Updated Dec 4, 2025Dec 4, 2025
ModelingToolkitStandardLibrary.jl
Public
A standard library of components to model the world and beyond
julia ode scientific-computing modelica differential-equations ordinary-differential-equations sde sciml blockmodels scientific-machine-learrning
Julia
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MIT License
•46•155•41•19•Updated Dec 4, 2025Dec 4, 2025
ParameterizedFunctions.jl
Public
A simple domain-specific language (DSL) for defining differential equations for use in scientific machine learning (SciML) and other applications
parameters differential-equations jacobian scientific-machine-learning sciml
Julia
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Other
•16•78•1•1•Updated Dec 4, 2025Dec 4, 2025
StochasticDiffEq.jl
Public
Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem
random stochastic noise differential-equations adaptive differentialequations sde stochastic-differential-equations sode ito
Julia
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Other
•76•305•92•12•Updated Dec 4, 2025Dec 4, 2025
DataDrivenDiffEq.jl
Public
Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization
julia ode differential-equations scientific-machine-learning sciml
Julia
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MIT License
•60•420•82•7•Updated Dec 4, 2025Dec 4, 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
•77•274•74•12•Updated Dec 4, 2025Dec 4, 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
•60•66•7•2•Updated Dec 4, 2025Dec 4, 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•7•1•Updated Dec 4, 2025Dec 4, 2025
CommonSolve.jl
Public
A common solve function for scientific machine learning (SciML) and beyond
interface scientific-machine-learning sciml composibility
Julia
•9•26•1•0•Updated Dec 4, 2025Dec 4, 2025
SciMLOperators.jl
Public
SciMLOperators.jl: Matrix-Free Operators for the SciML Scientific Machine Learning Common Interface in Julia
julia linear-algebra ode differential-equations scientific-machine-learning sciml
Julia
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MIT License
•15•54•27•4•Updated Dec 4, 2025Dec 4, 2025
DiffEqFinancial.jl
Public
Differential equation problem specifications and scientific machine learning for common financial models
financial stochastic differential-equations differentialequations sde stochastic-differential-equations black-scholes black-scholes-merton scientific-machine-learning sciml
Julia
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Other
•15•31•1•1•Updated Dec 3, 2025Dec 3, 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•310•28•4•Updated Dec 3, 2025Dec 3, 2025
SciMLTutorials.jl
Public
Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.
python r julia ode dde partial-differential-equations differential-equations ordinary-differential-equations differentialequations sde
CSS
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Other
•126•737•14•1•Updated Dec 3, 2025Dec 3, 2025
SciMLTutorialsOutput
Public
Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.
julia ode differential-equations neural-ode scientific-machine-learning neural-differential-equations sciml physics-informed-learning physics-informed-neural-networks physics-informed-ml
HTML
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Other
•5•22•1•2•Updated Dec 3, 2025Dec 3, 2025
ColPrac
Public
Contributor's Guide on Collaborative Practices for Community Packages
community best-practices julialang
Julia
•18•128•5•2•Updated Dec 3, 2025Dec 3, 2025
MultiScaleArrays.jl
Public
A framework for developing multi-scale arrays for use in scientific machine learning (SciML) simulations
julia models automatic-differentiation ode dde differential-equations differentialequations sde dae multiscale
Julia
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Other
•18•77•4•5•Updated Dec 3, 2025Dec 3, 2025
LineSearch.jl
Public
Line Search Algorithms
Julia
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MIT License
•5•3•4•1•Updated Dec 3, 2025Dec 3, 2025
SciMLLogging.jl
Public
A logging system for SciML
Julia
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MIT License
•5•8•3•1•Updated Dec 3, 2025Dec 3, 2025
LightweightStats.jl
Public
Lightweight Julia package for basic statistical functions with minimal dependencies
Julia
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MIT License
•1•3•1•1•Updated Dec 3, 2025Dec 3, 2025
BipartiteGraphs.jl
Public
Julia
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MIT License
•1•1•0•2•Updated Dec 3, 2025Dec 3, 2025