SciML Open Source Scientific Machine Learning

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196 repositories

SymbolicNumericIntegration.jl
Public
SymbolicNumericIntegration.jl: Symbolic-Numerics for Solving Integrals
integration symbolic-regression julia julia-language scientific-machine-learning
Julia
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MIT License
•11•128•9•4•Updated Sep 8, 2025Sep 8, 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
•2•10•0•2•Updated Sep 8, 2025Sep 8, 2025
ModelOrderReduction.jl
Public
High-level model-order reduction to automate the acceleration of large-scale simulations
hpc partial-differential-equations model-order-reduction julia differential-equations scientific-machine-learning sciml
Julia
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MIT License
•7•40•19•26•Updated Sep 8, 2025Sep 8, 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
•235•605•330•49•Updated Sep 8, 2025Sep 8, 2025
DiffEqProblemLibrary.jl
Public
A library of premade problems for examples and testing differential equation solvers and other SciML scientific machine learning tools
ode dde sde dae stochastic-differential-equations neural-ode scientific-machine-learning neural-differential-equations sciml differential-equations
Julia
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Other
•39•79•6•6•Updated Sep 8, 2025Sep 8, 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
•223•1.1k•111•24•Updated Sep 8, 2025Sep 8, 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
•112•162•66•35•Updated Sep 8, 2025Sep 8, 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
•78•359•109•9•Updated Sep 8, 2025Sep 8, 2025
IRKGaussLegendre.jl
Public
Implicit Runge-Kutta Gauss-Legendre 16th order (Julia)
Julia
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MIT License
•8•28•2•3•Updated Sep 8, 2025Sep 8, 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•215•31•6•Updated Sep 8, 2025Sep 8, 2025
QuantumNLDiffEq.jl
Public
Julia
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MIT License
•4•18•4•3•Updated Sep 8, 2025Sep 8, 2025
MethodOfLines.jl
Public
Automatic Finite Difference PDE solving with Julia SciML
parallel-computing high-performance-computing partial-differential-equations pde symbolic-computation finite-difference-method scientific-ml julia sciml
Julia
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MIT License
•39•184•100•13•Updated Sep 8, 2025Sep 8, 2025
FunctionProperties.jl
Public
A SciML symbolic-numeric compiler tool for investigating functions in order to perform optimizations
Julia
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MIT License
•2•10•3•3•Updated Sep 8, 2025Sep 8, 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
•54•275•38•15•Updated Sep 8, 2025Sep 8, 2025
NeuralOperators.jl
Public
DeepONets, (Fourier) Neural Operators, Physics-Informed Neural Operators, and more in Julia
Julia
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MIT License
•11•24•5•3•Updated Sep 8, 2025Sep 8, 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
•72•267•70•11•Updated Sep 8, 2025Sep 8, 2025
SimpleBoundaryValueDiffEq.jl
Public
Julia
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MIT License
•5•3•0•3•Updated Sep 8, 2025Sep 8, 2025
MathML.jl
Public
Julia MathML parser
Julia
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MIT License
•10•25•1•2•Updated Sep 8, 2025Sep 8, 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•24•0•1•Updated Sep 8, 2025Sep 8, 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
•101•329•20•47•Updated Sep 8, 2025Sep 8, 2025
SymbolicAnalysis.jl
Public
Symbolics-based function property propagation for optimization
Julia
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MIT License
•1•20•1•6•Updated Sep 8, 2025Sep 8, 2025
diffeqpy
Public
Solving differential equations in Python using DifferentialEquations.jl and the SciML Scientific Machine Learning organization
dde ordinary-differential-equations sde dae stochastic-differential-equations scientific-machine-learning sciml ode differential-equations numba
Python
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MIT License
•45•576•10•0•Updated Sep 8, 2025Sep 8, 2025
sciml.ai
Public
The SciML Scientific Machine Learning Software Organization Website
machine-learning julia julia-language ode dde sde dae julialang franklin neural-ode
CSS
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MIT License
•55•61•7•0•Updated Sep 7, 2025Sep 7, 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•116•16•0•Updated Sep 7, 2025Sep 7, 2025
DataInterpolations.jl
Public
A library of data interpolation and smoothing functions
Julia
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MIT License
•55•258•38•11•Updated Sep 7, 2025Sep 7, 2025
DataInterpolationsND.jl
Public
Interpolation of arbitrarily high dimensional array data
interpolation sciml
Julia
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MIT License
•3•22•13•2•Updated Sep 7, 2025Sep 7, 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
•99•797•92•15•Updated Sep 7, 2025Sep 7, 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•26•7•Updated Sep 7, 2025Sep 7, 2025
DataCollocations.jl
Public
Non-parametric data collocation functionality for smoothing timeseries data and estimating derivatives.
Julia
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MIT License
•1•0•0•0•Updated Sep 7, 2025Sep 7, 2025
MultiScaleArrays.jl
Public
A framework for developing multi-scale arrays for use in scientific machine learning (SciML) simulations
models ode dde differentialequations sde dae multiscale neural-ode neural-differential-equations scientific-ml
Julia
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Other
•18•76•4•5•Updated Sep 7, 2025Sep 7, 2025