SciML Open Source Scientific Machine Learning

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183 repositories

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•312•45•Updated Mar 19, 2025Mar 19, 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
•75•345•102•9•Updated Mar 19, 2025Mar 19, 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
•79•471•97•16•Updated Mar 18, 2025Mar 18, 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
•212•1.5k•340•75•Updated Mar 18, 2025Mar 18, 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•68•9•Updated Mar 18, 2025Mar 18, 2025
DiffEqDevTools.jl
Public
Benchmarking, testing, and development tools for differential equations and scientific machine learning (SciML)
ode developer-tools dde sde dae scientific-machine-learning sciml differential-equations
Julia
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Other
•35•50•3•1•Updated Mar 18, 2025Mar 18, 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•212•25•7•Updated Mar 18, 2025Mar 18, 2025
StructuralIdentifiability.jl
Public
Fast and automatic structural identifiability software for ODE systems
parameter-estimation differentialequations structural-identifiability julia
Julia
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MIT License
•18•113•9•5•Updated Mar 18, 2025Mar 18, 2025
SurrogatesBase.jl
Public
Basically just a surrogate in disguise
Julia
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MIT License
•3•4•0•0•Updated Mar 18, 2025Mar 18, 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•144•59•35•Updated Mar 18, 2025Mar 18, 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•255•36•9•Updated Mar 18, 2025Mar 18, 2025
IRKGaussLegendre.jl
Public
Implicit Runge-Kutta Gauss-Legendre 16th order (Julia)
Jupyter Notebook
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MIT License
•9•26•2•0•Updated Mar 18, 2025Mar 18, 2025
ADTypes.jl
Public
Repository for automatic differentiation backend types
julia automatic-differentiation autodiff
Julia
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MIT License
•15•46•7•2•Updated Mar 18, 2025Mar 18, 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 18, 2025Mar 18, 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
•88•324•35•71•Updated Mar 17, 2025Mar 17, 2025
NeuralLyapunov.jl
Public
A library for searching for neural Lyapunov functions in Julia.
Julia
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Other
•1•3•2•1•Updated Mar 17, 2025Mar 17, 2025
PSOGPU.jl
Public
GPU accelerated Particle Swarm Optimization
Julia
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MIT License
•1•13•11•6•Updated Mar 17, 2025Mar 17, 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
•117•323•55•12•Updated Mar 17, 2025Mar 17, 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
•42•133•36•21•Updated Mar 17, 2025Mar 17, 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 Mar 16, 2025Mar 16, 2025
DataInterpolations.jl
Public
A library of data interpolation and smoothing functions
Julia
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MIT License
•47•242•25•5•Updated Mar 16, 2025Mar 16, 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 Mar 16, 2025Mar 16, 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 Mar 15, 2025Mar 15, 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 Mar 15, 2025Mar 15, 2025
EllipsisNotation.jl
Public
Julia-based implementation of ellipsis array indexing notation `..`
arrays julia julia-language julialang
Julia
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Other
•14•94•2•0•Updated Mar 15, 2025Mar 15, 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•53•25•1•Updated Mar 15, 2025Mar 15, 2025
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•1•Updated Mar 15, 2025Mar 15, 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
•37•46•24•4•Updated Mar 15, 2025Mar 15, 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
•89•758•78•15•Updated Mar 14, 2025Mar 14, 2025
FindFirstFunctions.jl
Public
Faster `findfirst(==(val), dense_vector)`.
Julia
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MIT License
•3•9•3•0•Updated Mar 14, 2025Mar 14, 2025