SciML Open Source Scientific Machine Learning

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183 repositories

RecursiveArrayTools.jl
Public
Tools for easily handling objects like arrays of arrays and deeper nestings in scientific machine learning (SciML) and other applications
vector array recursion scientific-machine-learning sciml
Julia
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Other
•60•219•28•3•Updated Mar 28, 2025Mar 28, 2025
ReservoirComputing.jl
Public
Reservoir computing utilities for scientific machine learning (SciML)
rnn differential-equations echo-state-networks reservoir-computing scientific-machine-learning sciml machine-learning julia
Julia
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MIT License
•39•213•29•7•Updated Mar 28, 2025Mar 28, 2025
FindFirstFunctions.jl
Public
Faster `findfirst(==(val), dense_vector)`.
Julia
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MIT License
•3•9•3•0•Updated Mar 28, 2025Mar 28, 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 distributed-computing factorization amg multigrid krylov-methods linear-solvers preconditioners sciml newton-krylov
Julia
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Other
•60•253•69•11•Updated Mar 28, 2025Mar 28, 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
•105•145•60•35•Updated Mar 28, 2025Mar 28, 2025
DiffEqBase.jl
Public
The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems
dde partial-differential-equations ordinary-differential-equations differentialequations sde pde dae stochastic-differential-equations delay-differential-equations hacktoberfest
Julia
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Other
•118•325•55•12•Updated Mar 28, 2025Mar 28, 2025
SimpleNonlinearSolve.jl
Public
Fast and simple nonlinear solvers for the SciML common interface. Newton, Broyden, Bisection, Falsi, and more rootfinders on a standard interface.
newton julia differential-equations nonlinear-dynamics newton-raphson broyden-method bisection-method rootfinding nonlinear-systems scientific-machine-learning
Julia
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MIT License
•26•67•1•10•Updated Mar 28, 2025Mar 28, 2025
CellMLToolkit.jl
Public
CellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.
systems-biology physiology cellml julia ode differential-equations scientific-machine-learning sciml
Julia
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Other
•17•64•9•1•Updated Mar 28, 2025Mar 28, 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
automatic-differentiation garbage-collection high-performance-computing differentiable-programming
Julia
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Other
•15•118•3•1•Updated Mar 28, 2025Mar 28, 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 ordinary-differential-equations adaptive differentialequations event-handling hacktoberfest julia ode differential-equations scientific-machine-learning
Julia
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Other
•221•578•313•47•Updated Mar 28, 2025Mar 28, 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
•5•19•0•1•Updated Mar 27, 2025Mar 27, 2025
NeuralLyapunov.jl
Public
A library for searching for neural Lyapunov functions in Julia.
Julia
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Other
•1•3•2•2•Updated Mar 27, 2025Mar 27, 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
•5•8•0•0•Updated Mar 27, 2025Mar 27, 2025
BaseModelica.jl
Public
Importers for the BaseModelica standard into the Julia ModelingToolkit ecosystem
julia ode modelica differential-equations dae sciml symbolic-numeric-computing
Julia
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MIT License
•3•7•4•0•Updated Mar 27, 2025Mar 27, 2025
ModelingToolkitNeuralNets.jl
Public
Symbolic-Numeric 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
•2•27•6•1•Updated Mar 27, 2025Mar 27, 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
•35•310•66•12•Updated Mar 27, 2025Mar 27, 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 symbolic dde ordinary-differential-equations sde pde dae stochastic-differential-equations delay-differential-equations
Julia
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Other
•213•1.5k•346•78•Updated Mar 27, 2025Mar 27, 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 jacobian differential-equations scientific-machine-learning sciml
Julia
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Other
•18•76•1•1•Updated Mar 27, 2025Mar 27, 2025
NonlinearSolve.jl
Public
High-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and Newton-Krylov support.
high-performance-computing factorization nonlinear-equations sparse-matrix sparse-matrices newton-raphson steady-state bracketing equilibrium newton-method
Julia
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MIT License
•46•257•36•18•Updated Mar 27, 2025Mar 27, 2025
SciMLDocs
Public
Global documentation for the Julia SciML Scientific Machine Learning Organization
documentation julia scientific-machine-learning sciml
Julia
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MIT License
•46•69•16•1•Updated Mar 27, 2025Mar 27, 2025
DataInterpolations.jl
Public
A library of data interpolation and smoothing functions
Julia
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MIT License
•49•244•26•8•Updated Mar 27, 2025Mar 27, 2025
SciMLBenchmarks.jl
Public
Scientific machine learning (SciML) benchmarks, AI for science, and (differential) equation solvers. Covers Julia, Python (PyTorch, Jax), MATLAB, R
python benchmark ai julia matlab pytorch ode partial-differential-equations differential-equations differentialequations
MATLAB
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MIT License
•90•324•35•73•Updated Mar 27, 2025Mar 27, 2025
PSOGPU.jl
Public
GPU accelerated Particle Swarm Optimization
Julia
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MIT License
•1•15•11•7•Updated Mar 27, 2025Mar 27, 2025
CommonSolve.jl
Public
A common solve function for scientific machine learning (SciML) and beyond
interface composibility scientific-machine-learning sciml
Julia
•8•21•1•0•Updated Mar 27, 2025Mar 27, 2025
GlobalSensitivity.jl
Public
Robust, Fast, and Parallel Global Sensitivity Analysis (GSA) in Julia
ode morris-method ordinary-differential-equations sensitivity-analysis global-sensitivity-analysis gsa sobol-method efast julia julia-language
Julia
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MIT License
•21•54•25•2•Updated Mar 27, 2025Mar 27, 2025
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
neural-networks partial-differential-equations differential-equations ordinary-differential-equations differentialequations stochastic-differential-equations delay-differential-equations pinn neural-ode scientific-machine-learning
Julia
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MIT License
•155•887•38•4•Updated Mar 27, 2025Mar 27, 2025
StochasticDiffEq.jl
Public
Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem
random stochastic noise adaptive differentialequations sde stochastic-differential-equations sode ito hacktoberfest
Julia
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Other
•71•269•89•12•Updated Mar 27, 2025Mar 27, 2025
DiffEqBayes.jl
Public
Extension functionality which uses Stan.jl, DynamicHMC.jl, and Turing.jl to estimate the parameters to differential equations and perform Bayesian probabilistic scientific machine learning
dde stan ordinary-differential-equations sde dae stochastic-differential-equations neural-ode neural-differential-equations scientific-ml scientific-ai
Julia
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Other
•29•121•14•4•Updated Mar 27, 2025Mar 27, 2025
OptimizationBase.jl
Public
The base package for Optimization.jl, containing the structs and basic functions for it.
Julia
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MIT License
•7•15•15•2•Updated Mar 27, 2025Mar 27, 2025
SciMLBook
Public
Parallel Computing and Scientific Machine Learning (SciML): Methods and Applications (MIT 18.337J/6.338J)
performance-engineering parallelism neural-networks gpu-computing numerical-methods lecture-notes neural-ode neural-sde stiff-equations scientific-simulators
HTML
•345•1.9k•10•2•Updated Mar 27, 2025Mar 27, 2025