SciML Open Source Scientific Machine Learning

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183 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.
gpu distributed-computing factorization amg multigrid krylov-methods linear-solvers preconditioners sciml newton-krylov
Julia
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Other
•56•250•67•13•Updated Feb 3, 2025Feb 3, 2025
NeuralPDE.jl
Public
Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
machine-learning neural-network ode neural-networks partial-differential-equations differential-equations ordinary-differential-equations differentialequations pde pinn
Julia
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Other
•206•1k•109•17•Updated Feb 3, 2025Feb 3, 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•210•26•4•Updated Feb 3, 2025Feb 3, 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
•211•1.5k•336•71•Updated Feb 3, 2025Feb 3, 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
•44•245•33•6•Updated Feb 3, 2025Feb 3, 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
•339•1.9k•10•1•Updated Feb 3, 2025Feb 3, 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)
parameter-estimation quasi-monte-carlo physics-informed-learning julia scientific-machine-learning sciml
Julia
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MIT License
•26•106•16•0•Updated Feb 2, 2025Feb 2, 2025
ReactionNetworkImporters.jl
Public
Julia Catalyst.jl importers for various reaction network file formats like BioNetGen and stoichiometry matrices
biology chemical-kinetics differential-equations chemical-reactions gillespie-algorithm julia
Julia
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MIT License
•9•26•8•0•Updated Feb 2, 2025Feb 2, 2025
SciMLSensitivity.jl
Public
A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimize, adjoint methods, and more for ODEs, SDEs, DDEs, DAEs, etc.
ode dde differentialequations sde dae sensitivity-analysis hacktoberfest adjoint backpropogation neural-ode
Julia
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Other
•72•334•100•9•Updated Feb 1, 2025Feb 1, 2025
ModelingToolkitStandardLibrary.jl
Public
A standard library of components to model the world and beyond
ode scientific-computing modelica ordinary-differential-equations sde blockmodels scientific-machine-learrning acausal julia differential-equations
Julia
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MIT License
•41•128•35•21•Updated Feb 1, 2025Feb 1, 2025
RuntimeGeneratedFunctions.jl
Public
Functions generated at runtime without world-age issues or overhead
julia
Julia
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MIT License
•14•102•14•0•Updated Feb 1, 2025Feb 1, 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
•156•880•37•4•Updated Feb 1, 2025Feb 1, 2025
PoissonRandom.jl
Public
Fast Poisson Random Numbers in pure Julia for scientific machine learning (SciML)
high-performance-computing poisson poisson-distribution poisson-processes scientific-machine-learning sciml tau-leaping julia
Julia
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Other
•6•16•1•0•Updated Feb 1, 2025Feb 1, 2025
EllipsisNotation.jl
Public
Julia-based implementation of ellipsis array indexing notation `..`
arrays julia julia-language julialang
Julia
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Other
•14•92•2•0•Updated Feb 1, 2025Feb 1, 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
•4•19•0•1•Updated Feb 1, 2025Feb 1, 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
•86•321•35•69•Updated Feb 1, 2025Feb 1, 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•143•62•32•Updated Jan 31, 2025Jan 31, 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 Jan 31, 2025Jan 31, 2025
FindFirstFunctions.jl
Public
Faster `findfirst(==(val), dense_vector)`.
Julia
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MIT License
•3•9•3•0•Updated Jan 31, 2025Jan 31, 2025
Surrogates.jl
Public
Surrogate modeling and optimization for scientific machine learning (SciML)
high-performance-computing surrogate surrogate-models surrogate-based-optimization surrogates sciml optimization julia automatic-differentiation differential-equations
Julia
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Other
•71•339•38•2•Updated Jan 31, 2025Jan 31, 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.
automatic-differentiation global-optimization hacktoberfest nonlinear-optimization convex-optimization algorithmic-differentiation mixed-integer-programming derivative-free-optimization sciml local-optimization
Julia
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MIT License
•86•750•76•14•Updated Jan 31, 2025Jan 31, 2025
DataInterpolations.jl
Public
A library of data interpolation and smoothing functions
Julia
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MIT License
•47•239•23•5•Updated Jan 31, 2025Jan 31, 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
•16•62•9•2•Updated Jan 31, 2025Jan 31, 2025
.github
Public
Organization-wide .github actions and other metadata
MIT License
•3•4•2•1•Updated Jan 31, 2025Jan 31, 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
•45•66•16•1•Updated Jan 31, 2025Jan 31, 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•305•66•11•Updated Jan 31, 2025Jan 31, 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
•216•573•306•43•Updated Jan 31, 2025Jan 31, 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
•14•116•3•0•Updated Jan 31, 2025Jan 31, 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 Jan 30, 2025Jan 30, 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 Jan 30, 2025Jan 30, 2025