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SciML / OrdinaryDiffEq.jl

High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)

β–² ~7/7d β˜… 695 Julia 1d ago
SciML / DifferentialEquations.jl

Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential equations (SDEs), delay differential equations (DDEs), differential-algebraic equations (DAEs), and more in Julia.

β–² ~0/7d β˜… 3.2k Julia 5d ago
SciML / SciMLBook

Parallel Computing and Scientific Machine Learning (SciML): Methods and Applications (MIT 18.337J/6.338J)

β–² ~0/7d β˜… 2.0k HTML 3d ago
SciML / ModelingToolkit.jl

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

β–² ~0/7d β˜… 1.7k Julia today
PyDMD / PyDMD

Python Dynamic Mode Decomposition

β–² ~0/7d β˜… 1.3k Python 19d ago
SciML / NeuralPDE.jl

Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation

β–² ~0/7d β˜… 1.2k Julia 5d ago
SciML / DiffEqFlux.jl

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

β–² ~0/7d β˜… 929 Julia 4d ago
SciML / Optimization.jl

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.

β–² ~0/7d β˜… 848 Julia 2d ago
LuxDL / Lux.jl

Elegant and Performant Deep Learning

β–² ~0/7d β˜… 737 Julia 3d ago
SciML / diffeqpy

Solving differential equations in Python using DifferentialEquations.jl and the SciML Scientific Machine Learning organization

β–² ~0/7d β˜… 613 Python 5d ago
SciML / Catalyst.jl

Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software.

β–² ~0/7d β˜… 533 Julia 3d ago
Ehsan-Roohi / FlowMLLab

Reproducible CFD-to-scientific-machine-learning experiments

β–² ~0/7d β˜… 39 Jupyter Notebook today
xieyulai / steer

STEER β€” AI4R (AI for Research) experiment framework for auto-research and autonomous research. Connect existing research projects and let an agent edit code and train under governance: frozen task, scorer, and evidence.